The box that the kite came in is a rectangular prism with dimensions of 21/2” x 9 1/2” x 2”

Answer:

91

Step-by-step explanation:

you add the numbers that are in the () then you times those two numbers together and you will get the answer

The given probability of having six girls in a six-child family is 0.015625. To determine the method used to compute this probability, we need to analyze the information provided.

The Classical method is based on theoretical assumptions and probabilities calculated using mathematical principles. It assumes equally likely outcomes and relies on counting favorable outcomes over the total number of possible outcomes.

The Empirical method involves gathering data from observations or experiments to estimate probabilities. It relies on observed frequencies and relative frequencies to compute probabilities. However, the given probability does not suggest a sample or data collection, making it unlikely that the Empirical method was used.

The Subjective method involves assigning probabilities based on personal judgment or opinions. Individuals subjectively evaluate the likelihood of an event based on their own beliefs or knowledge.

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A normal distribution can appear utterly erratic due to a lack of data. Results from tests taken in class, for instance, are often regularly distributed.

Given information;

Scores from the sit and reach test weren't normally distributed.

To find what is the likely cause for this lack of normal distribution,

⇒ A normal distribution can appear utterly dispersed due to Insufficient Data. For instance, test scores in the classroom are often regularly distributed.

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Options :

4+4+4+4

8+8+8+8

(-1)(4+4+4+4)

(-8) + (-8) + (-8) + (-8)

Answer:

-8 + - 8 + - 8 + - 8

Step-by-step explanation:

Given that:

Rungs of ladder moved per stop = 4

Number of stops made = 8

Number of ladder rungs :

Ladder rungs per stop * number of stops

- 4(descent) * 8= - 32 ladder rungs

Alternative way :

-8 in 4 places

-8 + - 8 + - 8 + - 8 = - 32

Answer:

B

Step-by-step explanation:

The 38 square feet increase in the area of the patio following the increase in the length and width by 2 feet and the 2 square feet increase following the increase in the length by 2 feet and decrease in the width by 2 feet indicates that the area of the patio is 70 square feet.

The area of a plane figure is the space occupied by the figure of a specified surface upon which it is placed.

Let L represent the length of the patio, and let W represent the width of the patio, we get;

Area of the patio = L × W

(L + 2) × (W + 2) = L·W + 2·L + 2·W + 4 = Area + 38

Therefore; (L + 2) × (W + 2) = L·W + 2·L + 2·W + 4 = L × W + 38

2·L + 2·W + 4 = 38 (subtraction property)

2·L + 2·W = 38 - 4 = 34

2·L + 2·W = 34...(1)

(L + 2) × (W - 2) = L·W - 2·L + 2·W - 4 = Area + 2 = L·W + 2

L·W - 2·L + 2·W - 4 - L·W = L·W + 2 - L·W (Subtraction property)

2·W - 2·L - 4 = 2

2·W - 2·L - 4 + 4 = 2 + 4 = 6 (Addition property)

2·W - 2·L = 6...(2)

The simultaneous equations (1) and (2) are solved as follows;

Adding equation (1) to equation (2), we get;

2·L + 2·W + 2·W - 2·L = 34 + 6 = 40

4·W = 40

W = 40 ÷ 4 = 10

W = 10

The width of the patio, W = 10 feet

2·W - 2·L = 6, therefore;

2 × 10 - 2·L = 6

2·L = 2 × 10 - 6 = 14

L = 14/2 = 7

The length of the patio, L = 7 feet

The area of the patio = L × W

L × W = 7 feet × 10 feet = 70 square feet

The area of the patio = 70 square feet

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A has a probability of 0.3, B has a probability of 0.5, and A intersects B has a probability of 0.3. The probability of A ∪ B is 0.5.

We have been given that

P (A) = 0.3

P (B) = 0.5

P ( A∩B) = 0.3

Now, we have the formula of

P (A∪B) = P (A) + P (B) - P ( A∩B)

= 0.3 + 0.5 - 0.3

= 0.5

Probability denotes the possibility of commodity passing. It's a fine branch that deals with the circumstance of a arbitrary event. The value ranges from zero to one. Probability has been introduced in mathematics to prognosticate the liability of circumstances being.

Probability is defined as the degree to which commodity is likely to do. This is the abecedarian probability proposition, which is also used in probability distribution, in which you'll learn about the possible results of a arbitrary trial. To determine the liability of a particular event being, we must first determine the total number of indispensable possibilities.

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Correct question:

Consider two events A and B. The probability of A is 0.3, the probability of B is 0.5, and the probability of A intersect B is 0.3. What is the probability of A union B?

Answer:

3.16

Step-by-step explanation:

Because 4 3/4 divided by 2/3 is 3.16666666667 and 3.16666666667 simplified is 3.16. So 3.16 is the answer.

Hope this helps!

Answer:

9:11

Step-by-step explanation:

9000-4950=4050

(refer to picture for the rest)

As the actual probability is greater than 68%. The statement "p(z < 1) < 68%" is false.

According to the empirical rule (also known as the 68-95-99.7 rule), approximately 68% of the observations in a standard normal distribution fall within one standard deviation of the mean, 95% fall within two standard deviations, and 99.7% fall within three standard deviations.

Since the statement is asking for the probability that the random variable z is less than 1, we need to find the area under the standard normal curve to the left of 1.

This represents the probability of z being less than 1.

Using the empirical rule, we know that within one standard deviation of the mean, which is 0 for the standard normal distribution, approximately 68% of the data lies.

Therefore, the probability P(z < 1) is less than 68%.

To find the precise probability, we can use a standard normal distribution table or a statistical software.

Consulting the table or using software, we can determine that P(z < 1) is approximately 0.8413 or 84.13%.

Therefore, the statement "p(z < 1) < 68%" is false. The actual probability is greater than 68%.

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Answer:

56.55

Step-by-step explanation:

V = πr²h/3 = π·3²·6/3 = 56.54867

The answer rounded is 56.55.

-hope it helps

Answer:   0.483

Step-by-step explanation: add a zero and a point to the right f it

The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.

To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:

1. Calculate the perimeter of the given rectangular field:

  Perimeter = 2 * (Length + Width)

            = 2 * (120 meters + 80 meters)

            = 2 * 200 meters

            = 400 meters

2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:

  Side length = Perimeter / 2

             = 400 meters / 2

             = 200 meters

3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.

4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:

  Width = Perimeter / 2 - Length

        = 400 meters / 2 - 200 meters

        = 200 meters - 200 meters

        = 0 meters

5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.

In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.

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The approximate volume of the larger candle is 244 cubic centimeters.

To find the volume of the larger candle, we need to compare the side lengths of the smaller and larger candles. Let's denote the side length of the smaller candle as "s."

According to the information given, the side length of the larger candle is five-fourths (5/4) as long as the side length of the smaller candle. Therefore, the side length of the larger candle can be calculated as (5/4) * s.

The volume of a square pyramid is given by the formula V = (1/3) * s^2 * h, where s is the side length of the base and h is the height.

Since both the smaller and larger candles have the same shape, their volume ratios will be equal to the ratios of their side lengths cubed.

Let's substitute the values into the volume ratio equation:

(125 / V_larger) = (s_larger / s_smaller)^3

Given that V_smaller = 125 cubic centimeters, we can rewrite the equation as:

(125 / V_larger) = ((5/4) * s_smaller / s_smaller)^3

Simplifying the equation:

(125 / V_larger) = (5/4)^3

Calculating (5/4)^3:

(125 / V_larger) = (125 / 64)

Cross-multiplying the equation:

125 * 64 = V_larger * 125

Solving for V_larger:

V_larger = (125 * 64) / 125

Approximating the value:

V_larger ≈ 64 cubic centimeters

The approximate volume of the larger candle is 244 cubic centimeters, rounded to the nearest cubic centimeter

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 The value of f(9.5), to the nearest hundredth, is 58.61.To find the value of f(9.5), we need to first determine the equation of the exponential function f(x).

We know that f(-1) = 24 and f(9) = 51, so we can use these two points to find the general form of the function.
Let's assume that the exponential function takes the form f(x) = a(b^x), where a is a constant and b is the base of the exponential function. Using the point (-1, 24), we get:

24 = a(b^-1)
Solving for a, we get:
a = 24(b)
Similarly, using the point (9, 51), we get:
51 = 24(b^9)
Solving for b, we get:
b = (51/24)^(1/9)
Substituting this value of b into the equation for a, we get:
a = 24((51/24)^(1/9))
So the equation for the exponential function is:
f(x) = 24((51/24)^(1/9))^x
Now, we can find the value of f(9.5) by plugging in x = 9.5 into this equation:
f(9.5) = 24((51/24)^(1/9))^9.5
Using a calculator, we get:
f(9.5) ≈ 58.61

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Answer:

A. 18x - 3y = 6

Step-by-step explanation:

By taking 3 common from the terms 18x and 3y we get,

3 (6x-3y) = 6

or, 6x - y = 6/3

or, 6x - y = 2

And,

The equation becomes,

y = 6x - 2

The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

By taking 3 commons from the terms 18x and 3y we get,

3 (6x-3y) = 6

6x - y = 6/3

6x - y = 2

The equation becomes,

y = 6x - 2

Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

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If a four digit personal identification number is selected, then the probability that there are no repeated digits is 0.504

Number of digits in the identification number = 4

0, 1, 2, 3, 4, 5, 6, 7, 8 and 9

There are 10 digits

The probability = Number of favorable outcomes / Total number of outcomes

Total number of outcomes = 10 × 10 × 10 × 10

= 10000

Number of outcomes that digits wont repeat = 10 × 9 × 8 × 7

= 5040

Substitute the values in the equation of probability

The probability = 5040 / 10000

= 0.504

Therefore, the probability there are no repeated digits is 0.504

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Answer: Answer: If f(x) = x + 2, g(x) = x – 4, then (f g)(x) = x2 - 2x - 8.

Let's solve this step by step.

Step-by-step explanation:

Explanation:

Given functions f(x) = x + 2, g(x) = x – 4.

(f g)(x) = f(x) × g(x)

(f g)(x) = (x + 2) × (x - 4)

(f g)(x) = x2 + 2x - 4x - 8

(f g)(x) = x2 - 2x - 8

Hence, if f(x) = x + 2, g(x) = x – 4, then (f g)(x) = x2 - 2x - 8.

Answer:

3/2

Step-by-step explanation:

Using two points we can find the slope of a line

(0,1) and  (2,4)

The slope is given by

m= (y2-y1)/( x2-x1)

   = (4-1)/(2-0)

   = 3/2

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

A timeframe of 8 years is when there were 45 raccoons in the area.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Standard Form:
\(\displaystyle ax^2 + bx + c = 0\)

Quadratic Formula:
\(\displaystyle x=\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

Step-by-step explanation:

Step 1: Define

Identify given.

\(\displaystyle \begin{aligned}y & = 0.4x^2 + 2x + 2 \\y & = 45 \ \text{raccoons} \\\end{aligned}\)

Step 2: Find Specific Year

We are trying to find the year when there were 45 raccoons present in the area. From first glance, we see we probably can't factor the quadratic expression, so let's set up to use the Quadratic Formula:

Now that we have our variables from Standard Form, we can use the Quadratic Formula to find which years when there were 45 raccoons present in the area:

Since time cannot be negative, we can isolate the other root to obtain our final answer:

\(\displaystyle\begin{aligned}x & = 8.16536 \ \text{years} \\& \approx \boxed{ 8 \ \text{years} } \\\end{aligned}\)

∴ we have found the approximate amount of years to be 8 years when there were 45 raccoons in the area.

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Topic: Algebra I

The phrases used to describe an upper-tail test are "is greater than," "is bigger than," "is above," and "is not equal to." and the phrases used to describe a two-tail test are "is not the same as," "is different from," and "is not equal to."

a) The hypothesis testing process is based on the assumption that the null hypothesis is true, which means that there is no significant difference between the observed and expected data. The alternative hypothesis is a statement that contradicts the null hypothesis and suggests that the observed data is different from the expected data. A hypothesis test involves testing the null hypothesis against the alternative hypothesis using a test statistic and a significance level. The significance level is the probability of rejecting the null hypothesis when it is true. If the p-value is less than the significance level, then we reject the null hypothesis and accept the alternative hypothesis. Otherwise, we fail to reject the null hypothesis.

b) The phrases used to describe an upper-tail test are "is greater than," "is bigger than," "is above," and "is not equal to." An upper-tail test is a one-tailed test that is used to determine if the sample mean is significantly greater than the population mean. The null hypothesis for an upper-tail test is that the population mean is less than or equal to the sample mean. The alternative hypothesis is that the population mean is greater than the sample mean.

c) The phrases used to describe a two-tail test are "is not the same as," "is different from," and "is not equal to." A two-tail test is used to determine if the sample mean is significantly different from the population mean. The null hypothesis for a two-tail test is that the population mean is equal to the sample mean. The alternative hypothesis is that the population mean is not equal to the sample mean.

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Answer: $0.15/Yr

Step-by-step explanation:

Difference in year 2010- 1975= 35

Range = 7.25 - 2 = 5.25

Per year = 5.25/ 35

Answer:

8 (D)

Step-by-step explanation:

11 - 3 = x

11-3 = 8

hope this helps

Answer:

A) 0.78

B) 2.36

C) 1.54

D) 1

Step-by-step explanation:

I  just plugged in the numbers for x so like for A I did (11)+3=11

11+3=14

14/11=0.78 i hope i did that right

Answer:

w = 15

Step-by-step explanation:

2w - w = 10+5

w = 15

simple!

Equation: y=-2x-1

Slope value: m=-2

Y-intercept value= b=-1

Step-by-step explanation:

Find the Equation of the Line:

y=mx+b

by solving for y using the Point Slope Equation.

y−y1=m(x−x1)

y+3=−2(x−1)

y+3=−2x−(−2×1)

y+3=−2x−−2

y+3=−2x+2

y=−2x+2−3

y=−2x−1

m=−2

b=−1

Answer:

Infinitely many solutions

Step-by-step explanation:

3x + 99 = 3 (x+33)

distribute 3 to x and 33

3 * x = 3x

3 * 33 = 99

3x + 99 = 3x + 99

If the expressions on both sides of the equal sign are the same, then solving for them would result in 0 = 0 meaning that the equation has infinitely many solutions

NUMBER: 17        SQUARE: 289        SQUARE ROOT: 4.123

Hope this helps a little.

Answer:

a. 4 and 5

Step-by-step explanation:

We are given 17 squared, and are asked on whether which of it is between the following pairs.

Squaring a number always gives it a smaller number since you are trying to find a number times itself to make the number in the square root.

Therefore by this knowledge, a. would be the most reasonable answer, since 17 is quite a small number, squaring it will equal something smaller.

Answer:

g = (h+a) - l

None of them

Step-by-step explanation:

Suppose your car has h liters of engine oil in the morning. During the day, some oil may have leaked, you may have added more oil, or both. The oil level in the evening is g liters. Which of the following expressions always represents how far away the new oil level is from the previous oil level? H+G lGl none of them

Let

h = liters of oil in the morning

l= liters that has leaked

a= liters that were added during the day

g= amount of liters at the end of the evening

Total liters of oil in the evening= (litres of oil in the morning + litres of oil added during the day) - litres of oil that leaked

Substituting each variable into the formula, we have

g = (h+a) - l

Answer:

y= mx+ c is the linear equation for y= 2 x+1