A cell phone company says that a fully charged battery lasts 14 hours. In reality, each battery behaves a little differently. For a large quantity of fully charged batteries, the mean length of time that batteries last is 14 hours, with a standard deviation of 1 hour. Assume that the lengths of time that battery charges last can be modeled by a normal distribution.

What percent of fully charged cell phone batteries would be expected to last longer than 14 hours?

Answers

Answer 1

Answer:

The percentage is 50%

Step-by-step explanation:

From the question we are told that  

     The  mean is  \(\mu = 14 \ hours\)

     The  standard deviation is \(\sigma = 1 \ hour\)

Generally on the normal distribution curve the mean divides the curve into  two. with the half to the left of the mean (50% to the left )representing the percentage of the batteries that will last less than 14 hours and  the area under the curve to the right (50% to the right)representing the percentage of batteries that will last longer than mean (14 hours )

Hence the percentage of the cell phone batteries that will be expected to last longer than 14 hours is 50%


Related Questions

what the dog doing ?

Answers

The dog is playing with his chew toy!

Answer:

Explanation

Step-by-step explanation:

In general, dogs can run 15-20 mph

humans can run 6-8 mph

You are significantly slower than the dog,

the fastest human is around 27 miles per hour, unfortunately, even if you were this fast

the fastest dog can run 40 miles per hour as an estimate

even house cats can run at 30 mph maximum if they really wanted,

You have no chance of outrunning this dog, and barely a chance of outsmarting it if that option was available, in conclusion, the dog is chasing you at a speed of around 30 mph about 6-7x more than your own speed with no chance of outrunning it(the dog).

s – 34% Americano, 21% Cappuccino, 14% Espresso, 11% Latte, 10% Macchiato, 10% Other. In a random sample of 450 customers, he finds that 115 ordered Americanos, 88 ordered Cappuccinos, 69 ordered Espressos, 59 ordered Lattes, 44 ordered Macchiatos, and the rest ordered something in the Other category. Run a Goodness of Fit test to determine whether or not drink preferences have changed at his coffee shop. Use a 0.05 level of significance. Americanos Capp. Espresso Lattes Macchiatos Other Observed Counts 115 88 69 59 44 75 Expected Counts 153 94.5 63 49.5 45 45 Enter the p-value - round to 5 decimal places. Make sure you put a 0 in front of the decimal. P-value =___

Answers

Answer:

0.000005178

Step-by-step explanation:

we test for the goodness of fit

h0; drink preferences not changed

h1: drink preferences changed

alpha = 0.05

we solve for the test statistics

the chsquare test was performed in the attachment

Chi square = (O-E)²/E

chisquare = 32.30188

degree of freedom = n -1 = 6-1 = 5

using the chi distribution function on excel i calculated the p value

CHIDIST(32.30188, 5) =

P-value = 0.000005178

pvalue is less than 0.05 so we reject null hypothesis and conclude that there is sufficient evidence that drink preferences are changed.

the chisquare calculation is in the attachment. Thank you!

s 34% Americano, 21% Cappuccino, 14% Espresso, 11% Latte, 10% Macchiato, 10% Other. In a random sample

0.045 × 2.05 /0.0025 leaving your answer in standard form​

Answers

The value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.

To perform the calculation and express the answer in standard form, follow these steps:

Multiply 0.045 by 2.05:

0.045 × 2.05 = 0.09225

Divide the result by 0.0025:

0.09225 / 0.0025

= 36.9

Convert the answer to standard form by writing it as a decimal multiplied by a power of 10:

36.9 = 3.69 × 10

Therefore, the value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.

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Complete the proof of the identity by choosing the Rule that justifies each step.(sec^2x-1) cosx = sin^2x secxTo see a detailed description of a Rule, select the More Information Button to the right of the Rule.

Complete the proof of the identity by choosing the Rule that justifies each step.(sec^2x-1) cosx = sin^2x

Answers

From the question we are to complete the proof

\((sec^2x-1)\cos x=\sin ^2x\sec x\)

Solving LHS

By applying Pythagorean rule

\(1+\tan ^2x=\sec ^2x\)

This implies

\(\tan ^2x=\sec ^2x-1\)

Therefore we have

\((\sec ^2x-1)\cos x=\tan ^2x\cos x\)

For the function f(x)=x+4−−−−−√
, the average rate of change to the nearest hundredth over the interval 2 ≤ x ≤ 6 is

Answers

The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.

To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.

The change in the function between x = 2 and x = 6 is:

f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6

The change in the input variable between x = 2 and x = 6 is:

6 - 2 = 4

So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:

(√10 - √6) / 4

To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:

(√10 - √6) / 4 ≈ 0.29

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Two fire-lookout stations are 13 miles apart, with station B directly east of station A.
Both stations spot a fire. The bearing of the fire from station A is N35°E and the
bearing of the fire from station B is N49°W. How far is the fire from station B?
Choose the correct formula given below.

Two fire-lookout stations are 13 miles apart, with station B directly east of station A.Both stations

Answers

The distance between the fire and station B is 10.7miles

What is sine rule?

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

The angle at A = 90- 35

= 55°

The angle at B = 90-49

= 41°

Angle at the fire = 180-(41+55)

= 180-96 = 84°

Using sine rule

sin84/13 = sin55/x

xsin84 = 13sin55

0.995x = 10.65

x = 10.65/0.995

x = 10.7 miles

Therefore the distance between the fire and station B is 10.7 miles.

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How many days are there between 05/ 18/2016 to 06/03/2016

Answers

Answer:

at least 16 days

Answer:

16 days

Explanation:

First find the difference between these two dates by subtraction.

month / day / year

   06 / 03 / 2016

(-) 05 / 18 / 2016

--------------------------

      1 / -15 / 0

Time between:

= 1 month - 15 days

= 31 days - 15 days

= 16 days

Change the following Expression in to words 5(8 - 3)​

Answers

Answer:

subtract three from eight then multiply the difference (answer to a subtraction problem) by five

Step-by-step explanation:

Complete the equation: x2−4x+−−=(−−)2

Answers

The complete equation is x^2 - 4x + (-2) = (-2)^2

How to complete the equation?

The equation is given as:

x^2 - 4x + __ = (__)^2

_____________________________

Take the coefficient of x

k = -4

Divide by 2

k/2 = -4/2

k/2 = -2

Square both sides

(k/2)^2 = (-2)^2

_____________________________

Add the result of the above computation to both sides of x^2 - 4x + __ = (__)^2

So, we have:

x^2 - 4x + (-2) = (-2)^2

Hence, the complete equation is x^2 - 4x + (-2) = (-2)^2

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I'm thinking of a number.My number is a whole number.My number is larger than 100.My number mod 17 = 9.My number is smaller than 200.What could be number be? (Give one possible answer. There are several correct answers.)

Answers

Answer:

the number could be any of these numbers (111, 128, 145, 162, 179, 196)

Step-by-step explanation:

From the given information, let the number that I'm thinking of to be p

p is > 100

p  is < 200

and p = 9 (mod 17)

This implies that 17 ÷ p -9

p - 9 = 17q

here;

q is an integer

p = 9 + 17q

However,

100 < p < 200

= 100 < 9+17q < 200

= 100 - 9 < 17q < 200 -9

= 91 < 17q < 191

Dividing both sides by 17; we have:

= \(\dfrac{91}{17}< q < \dfrac{191}{17}\)

= 5.45 < q < 11.24

thus the possible values of q are between 6,7,8,9,10 and 11

The possible values of p can now be:

p = 9 +17(q)

p = 9+17(6), 9+17(7), 9+17(8), 9+17(9), 9+17(10), 9+17(11)

p = 111, 128, 145, 162, 179, 196

Therefore, the number could be any of these numbers (111, 128, 145, 162, 179, 196)

Trapezoid ABCD is rotated 180 degrees about the origin and then reflected over the x-axis, followed by a reflection over the y-axis. What is the location of point A after the transformations are complete? Trapezoid ABCD is shown. A is at negative 5, 1. B is at negative 4, 3. C is at negative 2, 3. D is at negative 1, 1. (5, −1) (−5, −1) (5, 1) (−5, 1)

Answers

Based on the set of transformations for trapezoid ABCD, the location of point A after the transformations are complete is: D. (−5, 1).

What is a rotation?

In Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the coordinates (-x, -y).

By applying a rotation of 180° to the given point, the coordinates of its image is given by:

(x, y)                           →               (-x, -y)

Points A = (-5, 1)        →     Points A' = (-(-5), -(1)) = (5, -1).

Next, we would reflect the given point over the x-axis as follows;

(x, y)                           →              (x, -y)

Points A' = (5, -1)        →     Points A' = (5, -(-1)) = (5, 1)

Lastly, we would reflect the given point over the y-axis as follows;

(x, y)                           →              (-x, y)

Points A' = (5, 1)        →     Points A' = (-(5), 1) = (-5, 1)

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thanks for the answer

Answers

Answer:

there's no questions haha, ty sa points

Answer:can you plz give us the question

Step-by-step explanation:

plz mark brainliest i need 5 of them

w = gm, solve for m.

Answers

Answer:

m = w/g

Step-by-step explanation:

Step 1: Write equation

w = gm

Step 2: Divide both sides by g

w/g = m

Step 3: Rewrite

m = w/g

Answer:

w/g = m

Step-by-step explanation:

w = gm

Divide each side by g

w/g = gm/g

w/g = m

Consider the diagram.
What is the length of segment AB?
A) 7
B) 9
C) 18
D) 25

Consider the diagram.What is the length of segment AB?A) 7B) 9C) 18D) 25

Answers

Answer:

the answer is 9

Step-by-step explanation:

Answer: the correct answer is 9!!!!!

each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given

Answers

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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What is the absolute value of the number indicated on the number line below?

A. -2 2/3
B. 2 2/3
C. -2 1/2
D. 2 1/2

What is the absolute value of the number indicated on the number line below?A. -2 2/3B. 2 2/3C. -2 1/2D.

Answers

Answer:

D, because in between -3 and -2 is -2 1/2, and absolute values are not negative, so the answer is 2 1/2, or D

Answer:

C.

Step-by-step explanation:

Which measurement is not equal to one mile

Which measurement is not equal to one mile

Answers

Answer:

B

Step-by-step explanation:

5280 yards does not equal one mile

Answer

B.5,280

Step-by-step explanation:

Im just smart like that

H
3.
6x
++
For this rectangle, find x.
15
180
90
6
k

H3.6x++For this rectangle, find x.15180906k

Answers

Answer:

x =15

Step-by-step explanation:

its a rectangle all interior angles must be equal to 90 so 6x=90

divide by 6 to get x on its own and you get 15

(12²-15+17)+16= what is the answer

Answers

Answer :

162

Step-by-step explanation:

(12 square - 15 + 17) + 16

=(144 - 15 + 17) + 16

=146 + 16

=162

Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)

Answers

The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 1/ ( x + 2 ) ( x - 5 )

The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.

Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )

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The complete question is attached below :

Which of the following rational functions is graphed below?

A. F(x) =(x-2)/(x+5)

B. F(x) =1/(x-2)(x + 5)

C. F(x) =1/(2x + 5)

D. F(x)= 1/(x+2)(x-5)

Which of the following rational functions is graphed below? A. F(x) =(x-2)/(x+5) B. F(x) =1/(x-2)(x +

Brendan says that when a rectangle with length 6 cm and width 4 cm is dilated by a scale factor of 2, the perimeter and area of the rectangle are doubled. Explain what is incorrect about Brendan’s statement.

Answers

The area of a rectangle does double when dilated by a scale factor of 2, the Perimeter does not double. It increases by a factor of 2.

Brendan's statement that when a rectangle with a length of 6 cm and a width of 4 cm is dilated by a scale factor of 2, the perimeter and area of the rectangle are doubled is incorrect. While the area of the rectangle does indeed increase by a factor of 2 when dilated, the perimeter does not necessarily double.

Brendan's statement and understand the concept of dilation:

1. Perimeter: The perimeter of a rectangle is the sum of all its sides. In this case, the original rectangle has a length of 6 cm and a width of 4 cm, resulting in a perimeter of 2*(6 cm + 4 cm) = 20 cm. If we dilate this rectangle by a scale factor of 2, the new rectangle will have a length of 2 * 6 cm = 12 cm and a width of 2 * 4 cm = 8 cm. The perimeter of the new rectangle is 2*(12 cm + 8 cm) = 40 cm. As we can see, the perimeter has not doubled; it has increased by a factor of 2.

2. Area: The area of a rectangle is calculated by multiplying its length by its width. For the original rectangle with a length of 6 cm and a width of 4 cm, the area is 6 cm * 4 cm = 24 cm². When we dilate the rectangle by a scale factor of 2, the new rectangle will have a length of 2 * 6 cm = 12 cm and a width of 2 * 4 cm = 8 cm. The area of the new rectangle is 12 cm * 8 cm = 96 cm². The area has indeed doubled, as Brendan mentioned.

Therefore, while the area of a rectangle does double when dilated by a scale factor of 2, the perimeter does not double. It increases by a factor of 2. It is crucial to differentiate between the effects of dilation on the area and the perimeter of a shape to have a clear understanding of geometric transformations.

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Eugene and Jessica each improved their yards by planting hostas and geraniums. They bought
their supplies from the same store. Eugene spent $150 on 18 hostas and 6 geraniums. Jessica
spent $113 on 7 hostas and 16 geraniums. Find the cost of one hosta and the cost of one
geranium.

Answers

The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.

Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.

From the information given, we can set up the following equations:

Eugene's spending:

18h + 6g = $150

Jessica's spending:

7h + 16g = $113

We can now solve this system of equations to find the values of 'h' and 'g'.

Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:

36h + 12g = $300

21h + 48g = $339

Now, we can subtract the second equation from the first to eliminate 'h':

(36h + 12g) - (21h + 48g) = $300 - $339

36h - 21h + 12g - 48g = -$39

15h - 36g = -$39

Simplifying further, we have:

15h - 36g = -$39

Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.

Let's solve for 'h':

15h = 36g - $39

h = (36g - $39) / 15

Substituting this value of 'h' into Eugene's equation:

18[(36g - $39) / 15] + 6g = $150

(648g - $702) / 15 + 6g = $150

648g - $702 + 90g = $150 * 15

738g - $702 = $2250

738g = $2250 + $702

738g = $2952

g = $2952 / 738

g ≈ $4

Now, substituting the value of 'g' back into Eugene's equation:

18h + 6($4) = $150

18h + $24 = $150

18h = $150 - $24

18h = $126

h = $126 / 18

h ≈ $7

Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

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Your friend loans you $550 to buy a PS5. They are going to charge you 3% interest rate. After some time you pay your friend back the $550 plus $33 in interest. How long did it take you to pay your friend back?

Answers

Answer:

2 years

Step-by-step explanation:

3% of $550 = 0.03 * $550 = $16.50

3% interest on $550 for 1 year is $16.50

$33/$16.50 = 2

Since 2 * $16.50 = $33, the loan was for 2 years.

There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag.

What is the theoretical probability of randomly drawing a red marble?

25%
62.5%
20%
41.7%

Answers

Answer:

20%

Step-by-step explanation:

The theoretical probability of drawing a red marble can be found by dividing the number of red marbles by the total number of marbles in the bag:

P(red) = number of red marbles / total number of marbles

P(red) = 5 / (5 + 8 + 12)

P(red) = 5 / 25

P(red) = 0.2

So the theoretical probability of randomly drawing a red marble is 20%, which corresponds to option (C).

How you would convert the repeating, nonterminating decimal to a fraction? Explain the process as you solve the problem.

0
.
1515

.

.

.

Answers

Answer:

x = 0.1515...

100 x = 15.1515...

100 x - x = 15.1515... - 0.1515...

99 x = 15

x = 15 / 99 = 3 ∙ 5 / 3 ∙ 33 = 5 / 33

0.1515... = 5 / 33

Step-by-step explanation:

Find the 6terms of the series 247

Answers

The six terms of the series 247 are 2, 2, 2, 2, 2, and 2.

To find the six terms of a series, we need to first understand what a series is. A series is defined as the sum of the terms of a sequence. A sequence is a set of numbers in a specific order.

Therefore, a series is a sum of terms from a sequence. There are different types of series, and they have different formulas for calculating their terms.In this case, we are required to find the six terms of the series 247. Since this is a finite series, we can use a formula to calculate the nth term of a finite series.

The formula is given as follows:Tn = a + (n - 1) dWhere Tn is the nth term of the series, a is the first term of the series, n is the number of terms in the series, and d is the common difference between the terms of the series.To find the six terms of the series 247, we need to know the value of a and d. In this case, we can see that the first term of the series is 2. Therefore, a = 2.

Since this is a constant series, we can see that the common difference between the terms is 0. Therefore, d = 0.Substituting these values in the formula, we get:T1 = a + (1 - 1) dT1 = 2 + 0T1 = 2T2 = a + (2 - 1) dT2 = 2 + 0T2 = 2T3 = a + (3 - 1) dT3 = 2 + 0T3 = 2T4 = a + (4 - 1) dT4 = 2 + 0T4 = 2T5 = a + (5 - 1) dT5 = 2 + 0T5 = 2T6 = a + (6 - 1) dT6 = 2 + 0T6 = 2.

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calculate the following range of scores for a continuous variable: 9,8,7,6,5,4,3,2. Use upper and lower real limits to calculate your answer.

Answers

Answer:

7

Step-by-step explanation:

Given the data :

9,8,7,6,5,4,3,2

Ordering the data from least to highest :

2, 3, 4, 5, 6, 7, 8, 9

The range of a dataset is given by :

Maximum - Minimum

Maximum value = 9

Minimum value = 2

Range of data:

9 - 2 = 7

Range = 7

The manager at Frydays sets a company goal to receive consistent, positive ratings by customers on social media over the next month.

Answers

The correct answer is (b) Ratings with a high mean and a low mean absolute deviation.

What is the mean absolute deviation?

Mean absolute deviation (MAD) is a statistical measure of how much the data values in a set deviate from the mean of the set.

Given options are

a. Ratings with a high mean and a high mean absolute deviation

b. Ratings with a high mean and a low mean absolute deviation

c. Ratings with a low mean and a high mean absolute deviation

d. Ratings with a low mean and a low mean absolute deviation

The manager at Frydays wants to receive consistent, positive ratings by customers on social media over the next month. Consistency means that the ratings are close to each other, and positive ratings mean that they are higher than average. Therefore, the goal is to have ratings with a high mean and a low mean absolute deviation.

The mean is a measure of central tendency that represents the average rating of customers, and a high mean indicates that the ratings are positive. The mean absolute deviation (MAD) is a measure of dispersion that represents how spread out the ratings are from the mean. A low MAD indicates that the ratings are close to each other and consistent.

Hence, The correct answer is (b) Ratings with a high mean and a low mean absolute deviation.

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3 points
A rectangular prism and a cylinder have the same height. The length of each side of the prism base is equal to the diameter of the cylinder. Which shape has a greater
volume? Use the drop-down menus to explain your answer.
Volume of a Rectangular Prism: V = lwh
Volume of a Cylinder: V = ²h
✓has the greater volume because the choose your answer... V
The choose your answer...
extra space between the two figures.
fits within the
choose your answer....
with

Answers

The rectangular prism has a greater volume than the Cylinder.

Since the rectangular prism has a greater volume than the cylinder because the rectangular prism fully occupies the space within its boundaries, while the cylinder has empty space above and below it.

The cylinder is rounded shape leaves gaps between its curved surface and the boundaries of the rectangular prism.

Therefore, the rectangular prism could hold more volume than the cylinder as it utilizes the entire space within its shape efficiently.

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Translate this expression: -3 decreased by the product of 5.1 and a number

Answers

The equivalent value of the expression is A = -3 - ( 5.1 x n ) , where n is the number

Given data ,

Let the expression be represented as A

Now , the value of A is

A = -3 decreased by the product of 5.1 and a number

On simplifying , we get

Let the number be represented as n

A = -3 - ( 5.1 x n )

On further simplification , we get

A = -3 - ( 5.1n )

Hence , the equation is A = -3 - ( 5.1n )

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Which factor that affects income is out of a worker's personal control?Group of answer choicesEducationLocationProductivityPolitics Most deaf individuals A) want their hearing fixedB) take pride in their culture and languageC) identify themselves as hearing impairedD) can read lips I will mark you brainliest Pls help this is due in 20 mins. Listed in the item bank or key terms and expressions each of which is associated with one of the columns some terms may display additional information when you click on them drag and drop each item to the correct column order does not matter. (Please tell me what numbers go in what column.) ( I will not take random answers) What can occur only in a binary system, and all such events are thought to have about the same luminosity? will mark brainlist to the correct person who does the step by step correctly and also the correct answerA city just opened a new playground for children in the community. An image of the land that the playground is on is shown.What is the area of the playground? 900 square yards 855 square yards 1,710 square yards 1,305 square yards A jazz singer was contracted to perform for two nights at a nightclub .four days before he was to appear , the club burned to the ground. What effect did the fire have on the contract? Would your answer change if it were discovered two weeks later that the fire had been set by a disgruntled ex employee at the urging of a disgruntled current employee ? can anybody help me with this if a researcher uses an interval scale instead of an ordinal scale, what additional information can be obtained? Solve[tex] \frac{2 \times 2(2 \times 4)}{8} [/tex]Pls help me it's urgent Do taller people tend to jump higher? Student researchers investigated this question by measuring the height in inches and standing vertical leap of 74 different students. Here is a scatterplot of the data, along with the regression line equation, = -31.20+0.70x, where y= vertical jump in inches and x= height in inches. Predict the vertical leap of a student who is 68 inches tall. What is the value of p +(p-q)+q+(q-p) the hawks have won 12 games this season, which is 60% of the season how many games did they play Consider a circular sunspot, which has a temperature of 4000 K while the rest of the surface of the Sun has a temperature of 6000 K. a) What is the wavelength of maximum emission of the sunspot? HINT: This is once again an application of Wien's Law. It will tell us the "color" of the sunspot. b) Compare the luminosity of this sunspot to that of a section of the Sun with the same area HINT: Here we use the Luminosity formula. Remember to show all your work! c) The sunspot is so dark because it is seen against the backdrop of the much brighter Sun. Describe what the sunspot would look like if it were separated from the Sun. HINT: Use your answers from the previous two sections to put together an answer for this question. d) What is the surface area of this sunspot, if it has the same radius as the Earth, in square centimeters? What is the area of a light bulb whose filament is 2 cm in radius? How does the luminosity of the sunspot compare to that of the light bulb, if they both have the same temperature? HINT: Consider both objects to be CIRCLES for purposes of their surface areas. Again we use the Luminosity formula. Escoge todo que debes usar cuando Llueve mucho.chaquetapantalntraje de baogafas de solparaguas Which is abiotic?tree sapinsectsunlighttree stump Ideally, questionable requests not to participate in a patient's care should be considered for review by the ___________ "respect for the equality of all persons" cite a time in the U.S. history when equality has been achieved for a particular group of people. 3. Suppose the interest rate is 5% per period. You hold a portfolio that longs 2 shares of the stock and borrows $40 cash. If the market price of the stock can be either $21 or $55 in the next period, then the following must be true for the payoff of the portfolio in the next period: a. If the stock price is $21, then the payoff of the portfolio will be $0 b. If the stock price is $21, then the payoff of the portfolio will be $84 c. If the stock price is $55, then the payoff of the portfolio will be $68 d. If the stock price is $55, then the payoff of the portfolio will be $152 Observe:1. What people and objects are shown? Make a list of what you see in the cartoon including captions.2. Which of the items on the list from Question 1 are symbols? What does each symbol stand for?3. What is the setting4. Are there any objects or people that seem to be exaggerated? If so, why do you think the artist exaggerated?Reflect:5. What is happening in this image?Evaluate the Message:6. In your opinion, what is the cartoonists message? What elements of the cartoon give you that impression?7. Do you agree with the point of view and message of the cartoonist? Why or why not?Question:8. What do you still wonder about? What is the intent of the Constitution?answersA.to establish a plan of government for the United States.B.to officially purchase the territory of Louisiana from France.C.to establish the independence of the United States.D.to create a clear border between the United States and Canada.