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Using proportions, it is found that he predicts that the arrow will land on the green section 24 times.

A proportion is a fraction of a total amount.

Considering that each trial has a 1/2 probability of resulting in heads, the fraction correponding to the probability of simultaneously flipping three "heads" is given by:

\(p = \left(\frac{1}{2}\right)^3 = \frac{1}{8}\)

Considering that he does this 24 times, we apply the proportion, hence:

\(\frac{1}{8} \times 24 = 3\).

He predicts that the arrow will land on the green section 24 times.

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\([Hello,BrainlyUser]\)

Answer:

\(1\frac{1}{15}\)

Step-by-step explanation:

To Convert to a mixed number..

First, Let's add both fraction.

\(\frac{2}{15} + \frac{14}{15}\)

The two fractions have like denominators so you can add the numerators.

\(\frac{2+14}{15}=\frac{16}{15}\)

The fraction

\(\frac{16}{15}\)

is the same as

\(16\) ÷ \(15\)

Convert to a mixed number using

long division for 16 ÷ 15 = 1R1, so

\(\frac{16}{15}=1\frac{1}{15}\)

Therefore,

\(\frac{2}{15}+\frac{14}{15}=1\frac{1}{15}\)

Hence, your answer is 1 1/15

\([CloudBreeze]\)

The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.

Given that,

For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290

We have to find the data of IQR.

We know that,

IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.

IQR Formula is Q₃ - Q₁

So,

Q₃ = 290

Q₁ = 200

Then ,

IQR = Q₃ - Q₁

IQR = 290 - 200

IQR = 90

Therefore, The value of IQR is 90.

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Answer:

5

Step-by-step explanation:

You need to have have 17 take 2 away which makes it it 15 you need to say how many times does 3 go into 15 which is 5 so x=5

The solution of the linear equation 3x + 2 = 17 will be 5.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

3x + 2 = 17

Simplify the equation, then the value of the variable 'x' is calculated as,

3x + 2 = 17

3x = 17 - 2

3x = 15

x = 15 / 3

x = 5

The solution of the linear equation 3x + 2 = 17 will be 5.

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i hope it helps you ❤️❤️❤️

Answer:

approx. 56.72 square inches

Step-by-step explanation:

A= 2πrh + 2πr2 = 2·π·1.15·6.7+2·π·1.152 ≈ 56.72146

Question options :

a. They should be between 64 and 76 inches tall.

b. They should be close to the height that is 95% of the mean. That is, 66.5 inches, plus or minus 2 standard deviations.

c. They should be at or below the 95th percentile, which is 74.92 inches.

d. None of the above.

Answer: a. They should be between 64 and 76 inches tall.

Step-by-step explanation:

Given the following :

Assume men's height follow a normal curve ; and :

Mean height = 70 inches

Standard deviation= 3 inches

According to the empirical rule ;

Assuming a normal distribution with x being random variables ;

About 68% of x-values lie between -1 to 1 standard deviation of the mean. With about 95% of the x values lying between - 2 and +2 standard deviation of mean. With 99.7% falling between - 3 to 3 standard deviations from the mean.

Using the empirical rule :

95% will fall between + or - 2 standard deviation of the mean.

Lower limit = - 2(3) = - 6

Upper limit = 2(3) = 6

(-6+mean) and (+6+ mean)

(-6 + 70) and (6+70)

64 and 76

The range of height of adult males in U.S. using the 95% empirical rule is 64 to 76 inches

According to the given data

The mean height for adult males in the U.S. is about 70 inches

The standard deviation of heights is about 3 inches.

Considering the data to be normally distributed

According  to the empirical rule for normal distribution we can write that

95.45% of the data lies with in the range of

\(\rm \mu - 2\sigma \; to \; \mu +2\sigma\\\\where \\\mu = Mean\\\sigma = Standard \; deviation\)

We have to to determine that  using the Empirical Rule 95% of adult males should fall into what height range

According to the given data

\(\rm \mu = 70\\\rm \sigma = 3 \\\)

\(\rm Lower \; limit \; of \; the\; range \; of\; variation\; of \; height\; range = 70 - 2(3) = 64\)

\(\rm Upper \; limit \; of \; the\; range \; of\; variation\; of \; height\; range = 70 +2(3) = 76\)

So we can conclude that the range of height of adult males in U.S. using the 95% empirical rule is 64 to 76 inches

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Answer:

A

Step-by-step explanation:

You would think that 15* a number added with 3 is 60. So you would write it as 15W+3=60. Sorry if im wrong.

Answer:

B several

Step-by-step explanation:

The solutions are where the graphs intersect

It appears there are 3 points of intersection

Given the choices

It is more than one and less than infinite

The volume of the rectangular building is 2,731,050 feet³ depending on the given height, base and width.

The volume of the building will be calculated by the formula -

Volume = length × breadth × height

Thus, keeping the value of each component of building in the formula to find the volume of the building.

Volume of building = 255 × 255 × 42

Performing multiplication on Right Hand Side of the equation to find the value of volume

Volume of building = 2,731,050 feet³

Therefore, the volume of the building is 2,731,050 feet³.

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Therefore , the solution of the given problem of domain comes out to be range of f-1(x) is the scope of f(x).

The range of potential values that a function can take is known as its domain. These numbers serve as a representation for the cross of an equation like f. (x). The range of potential numbers on which a function can be used is known as its domain. The value which the function gives following the insertion of a x value is this set. A formula with x as the predictor variables and y as even the dependent variable is defined as

Y = f. (x).

Here,

Given :

To find domain and range of inverse function :

=> Inverse Functions' Subject and Scope .

The scope of an inverse function, f1, is the spectrum of a function, f(x).

The range of f-1(x) is the scope of f(x).

Therefore , the solution of the given problem of domain  comes out to be range of f-1(x) is the scope of f(x).

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Part 1

Use your calculator to have it display \(e \approx 2.71828182846\) and round that to five decimal places to get \(e \approx 2.71828\)

=============================================

Part 2

Plug in x = 5 to get

\(y = \left(1 + \frac{1}{x}\right)^x\\\\y = \left(1 + \frac{1}{5}\right)^5\\\\y = 2.48832\\\\\)

=============================================

Part 3

Now plug in x = 25

\(y = \left(1 + \frac{1}{x}\right)^x\\\\y = \left(1 + \frac{1}{25}\right)^{25}\\\\y \approx 2.66583633148742\\\\y \approx 2.665 84\\\\\)

=============================================

Part 4

Plug in x = 125

\(y = \left(1 + \frac{1}{x}\right)^x\\\\y = \left(1 + \frac{1}{125}\right)^{125}\\\\y \approx 2.70748783321031\\\\y \approx 2.70749\\\\\)

=============================================

Part 5

As x gets larger, it appears (1+1/x)^x is getting closer and closer to e = 2.71828 since the sequence of answers (from parts 2 through 4) was 2.48832, 2.66584, 2.70749.

the particular solution to the given differential equation is y(t) = 0.

The characteristic equation for the differential equation is r^2 + 1 = 0, which has roots r = ±i.

Since the roots are complex, the general solution takes the form y(t) = c1 cos(t) + c2 sin(t), where c1 and c2 are constants.

Using the initial conditions y(0) = 0 and y'(0) = 0, we can solve for the constants as follows:

y(0) = c1 cos(0) + c2 sin(0) = c1(1) + c2(0) = c1 = 0

y'(t) = -c1 sin(t) + c2 cos(t)

y'(0) = -c1 sin(0) + c2 cos(0) = c2 = 0

Therefore, the particular solution is y(t) = 0.

Substituting this solution into the differential equation, we see that it satisfies the equation:

d^2y/dt^2 + y = 0 + 0 = 1/cos(t) * 0

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Answer: (-2,3)

Step-by-step explanation:

The formula for 180 degrees rotation is (-x,-y).

(2,-3). Plug the formula in, when plugging a positive and a negative, it's negative. When plugging a negative and a negative, it makes a positive.

So (-2, 3)

The variance of the length of the critical path is 5.76.

Option A is the correct answer.

We have,

To calculate the variance of the length of the critical path in the Critical Path Method (CPM) with three-time estimates (PERT), we can use the formula:

Variance = (Standard Deviation)²

Given that the standard deviation is 2.4, we can substitute it into the formula:

Variance = (2.4)² = 5.76

Therefore,

The variance of the length of the critical path is 5.76.

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The value of RE for the given triangle is 3 units.

A key idea in geometry known as the Pythagorean theorem outlines the relationship between the sides of a right triangle. It asserts that the square of the length of the longest side, known as the hypotenuse, is equal to the sum of the squares of the two shorter sides of a right triangle. In other words, if a and b are the measurements of a right triangle's two shorter sides and c is the measurement of the hypotenuse,

Triangle DRF is an right angle triangle.

Using Pythagoras Theorem we have:

c² = a² + b²

DF² = 27² + 9²

DF² = 729 + 81

DF² = 810

DF = √(810)

DF = 9 √(10)

Now, the value of DF = 9 sqrt(10).

In triangle DEF we have:

DE² = (9 √(10))² + (3 √(10))

DE² = 81 * 10 + 9 * 10

DE² = 900

DE = 30

Now, DE = DR + RE

Given, DR = 27 substituting the value:

Thus,

30 = 27 + RE

RE = 3

Hence, the value of RE for the given triangle is 3 units.

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Answer:

D

Step-by-step explanation:

Answer:

No , because The Pythagorean equation isn't true.

Step-by-step explanation:

a² = b² + c²

14² = 11² + 8²

196 = 121 + 64

196 ≠ 185

The number of pieces of cloth, x, she can use for her project 3 x 28 = 84 pieces of cloth.

Inequality calculation explained

As Ashley needs at least 3 pieces of cloth for each square, the total number of pieces of cloth she needs for 28 squares is 3 times the number of squares, which is 3 x 28 = 84 pieces of cloth.

To write an inequality to find the number of pieces of cloth, x, she can use for her project, we can set up the following inequality:

x ≥ 84

This inequality means that the number of pieces of cloth, x, must be greater than or equal to 84 in order for Ashley to be able to complete 28 squares with at least 3 pieces of cloth for each square.

The graph of this inequality is a vertical line passing through the point (84,0) on the x-axis and extending infinitely upwards. Any point on or to the right of this line represents a valid solution to the inequality, since it corresponds to a number of pieces of cloth that is greater than or equal to 84.

Therefore,  The graph does not show any points to the left of the line, since any such point would represent a number of pieces of cloth that is less than 84, which is not a valid solution to the inequality.

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Answer: A is the correct answer (an =2,250+250(n-1)

Step-by-step explanation:

I hope this helped have fun cheating on the mid terms baddiesss

The null hypothesis was rejected as the mean of the sweetness losses was greater than the critical value. Thus, the cola did lose sweetness.

1. State the null hypothesis: The null hypothesis is that the cola did not lose sweetness.

2. Determine the level of significance: The level of significance is 5%.

3. Calculate the test statistic and The test statistic is calculated by subtracting the mean of the sweetness losses from zero.

4. Make a decision: If the test statistic is greater than the a critical value, then the null hypothesis should be rejected and the cola did lose sweetness. which is greater than the a critical value of 0.05. Therefore, the null hypothesis should be rejected and the cola did indeed lose sweetness.

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Answer:

21

20.7

20.23

20.22

20.102

20.005

Step-by-step explanation:

hope this helps!

JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.

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Notice that the intersecton of both inequality is located approximately at the point (150,50). This means that there are at least 100 more feet of quarter inch pipe than half inch pipe, and since the combined cost is represented by the inequality

then, it must not cost more than 800. Therefore, the correct option is a)

If Dmitry is making a recipe that uses 1 pound of wheat flour and 10 ounces of almond flour then he will require total 26 ounces of flour.

Given that Dmitry is making a recipe that uses 1 pound quantity of wheat flour and 10 ounces of almond flour.

We are required to find the total quantity of total flour that Dmitry uses.

Quantity or amount is basically a property that can exist as a multitude or magnitude,

We know that 1 pound is equal to 16 ounces.

Quantity of wheat flour=1 pound

In 1 pound of wheat flour=16 ounces of wheat flour.

Quantity of almond flour=10 ounces

Total requirement of flour=16+10

=26 ounces.

Hence if Dmitry is making a recipe that uses 1 pound of wheat flour and 10 ounces quantity of almond flour then he will require 26 ounces of flour.

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I think we're not supposed to do more than 3 problems in one answer; certainly not five pages. Does the 1/3 mean there are 10 more to come?

I'll do the first page.

6)

Right triangle, opposite side of 10, adjacent side of 21,

tan x = opp/adj = 10/21

x = arctan 10/21 = 25.46°

Answer: 25

7)

cos x =   adj / hyp = 10/14

x = arccos 10/14 = 44.42°

Answer: 44

8)

tan x = opp/adj = 12/24 = 1/2

x = arctan 1/2 = 26.57°

Answer: 27

9)

tan x = 31/32

x = arctan 31/32 = 44.09°

Answer: 44

10)

x = arctan 10/27 = 20.32°

Answer: 20

Answer:14.518

Step-by-step explanation: