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%
what the dog doing ?
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 =___
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!
0.045 × 2.05 /0.0025 leaving your answer in standard form
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.
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
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.
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
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)
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
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.)
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)
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
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.
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
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
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
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
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
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
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)
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)
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.
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.
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?
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%
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
.
.
.
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
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.
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.
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
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
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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