Can someone help me please ??

There is not enough evidence to conclude that the average time spent on leisure activities by American adults has changed. Sample standard deviation (s) is 8.984 hours. Sample mean (x') is 19.9 hours per week

To test whether the claim that American adults spend an average of 18 hours per week on leisure activities is true or false, we can conduct a hypothesis test.

First, we need to define the null and alternative hypotheses. Let µ be the population mean time spent on leisure activities by American adults.

Null hypothesis: µ = 18 hours per week

Alternative hypothesis: µ ≠ 18 hours per week

We can then calculate the sample mean and standard deviation from the data given as follows:

Sample mean (x') = (13+4+15+9+21+42+15+34+20+6) / 10 = 19.9 hours per week

Sample standard deviation (s) = 8.984 hours

Next, we can calculate the test statistic (t-value) using the formula:

t = (x' - µ) / (s / √(n))

where n is the sample size (10).

Using a t-distribution with 9 degrees of freedom (n-1), we can find the critical t-value at a 5% significance level to be ±2.306.

We calculate the t-value as:

t = (19.9 - 18) / (8.984 / √(10)) = 0.911

Since the calculated t-value is less than the critical t-value, we fail to reject the null hypothesis.

In other words, the claim that American adults spend an average of 18 hours per week on leisure activities is not contradicted by the sample data.

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Time spend on science homework is 16 minutes and time spend on math homework is 48 minutes.

Two or more expressions with an Equal sign is called as Equation

Given that,

The time spend on math homework =  3 times time spend on science homework,

Also, total time spent on math and science both homework = 64 minutes.

Let time spend by Max on science homework is t minutes,

Then by given condition, time spend on math homework = 3t

Total time = 64 minutes

t + 3t = 64 minutes

4t = 64 minutes

Divide both sides by t

t = 16 minutes

Hence, Time spend on science homework is 16 minutes and time spend on math homework is 48 minutes.

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Answer:

3x+1 each

Step-by-step explanation:

since its an isosceles triangle, it has 2 congruent sides and one other side (the base).

Since we know the base is 5, we know that the other two sides added up are (6x+7)-5, which is 6x + 2

Because they're congruent, each one is half of that. Half of 6x+2 is 3x-1

Answer:

3x+1

Step-by-step explanation:

6x+7-5=2s

6x+2=2s

s=3x+1

The drama club can sell 20 student tickets and 30 adult tickets tο make at least $400 and nοt exceed 70 tοtal tickets and 50 adult tickets.

Let's start by writing the system οf inequalities based οn the given infοrmatiοn:

The tοtal number οf tickets sοld cannοt exceed 70:

x + y ≤ 70

The drama club must make nο less than $400 frοm ticket sales:

4x + 8y ≥ 400

They can sell at mοst 50 adult tickets:

y ≤ 50

Tο sοlve this system οf inequalities graphically, we need tο plοt the lines cοrrespοnding tο each inequality οn a cοοrdinate plane and shade the regiοn that satisfies all οf them.

First, let's plοt the line x + y = 70:

y = -x + 70

Next, let's plοt the line 4x + 8y = 400:

y = -0.5x + 50

Finally, let's plοt the line y = 50:

y = 50

Nοw, we shade the regiοn that satisfies all three inequalities. This is the regiοn belοw the line y = 50, tο the left οf the line y = -x + 70, and abοve the line y = -0.5x + 50:

We can see that the shaded regiοn cοrrespοnds tο the values οf x and y that satisfy all three inequalities. One pοssible sοlutiοn within this regiοn is (x, y) = (20, 30). This means that the drama club can sell 20 student tickets and 30 adult tickets tο make at least $400 and nοt exceed 70 tοtal tickets and 50 adult tickets.

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Answer:

16384

Step-by-step explanation:

=4^4*4^3

=(4*4*4*4)*(4*4*4)

=4*4*4*4*4*4*4

=4^7

The given coordinates of quadrilateral is not a trapezoid.

To show that the given quadrilateral is a trapezoid, we need to first understand what a trapezoid is. A trapezoid is a quadrilateral that has one pair of opposite sides parallel. In other words, the two sides that are parallel are called the bases, and the other two sides are called the legs.

Looking at the given quadrilateral, we can see that the coordinates of its vertices are (11, 4, 1), (8, -3, 9), (-3, 3), and (2, -3, 3). We need to determine if one pair of opposite sides is parallel.

To do this, we can use the slope formula, which is given by:

slope = (y₂ - y₁) / (x₂ - x₁)

If the slopes of two lines are equal, then they are parallel.

Using the slope formula, we can calculate the slopes of the four sides of the quadrilateral. Let's label the vertices as A(11, 4, 1), B(8, -3, 9), C(-3, 3), and D(2, -3, 3).

The slope of AB is (4 - (-3)) / (11 - 8) = 7/3.

The slope of BC is (9 - 4) / (8 - (-3)) = 5/11.

The slope of CD is (3 - (-3)) / (-3 - 2) = 6/5.

The slope of DA is (1 - 3) / (11 - 2) = -2/9.

We can see that the slopes of AB and CD are not equal, and the slopes of BC and DA are not equal either. Therefore, no pair of opposite sides is parallel. Hence, we can conclude that the given quadrilateral is not a trapezoid.

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Complete Question:

Show that the quadrilateral with the vertices W11. 4). 1, 8), -3.9), 2-3, 3) is a trapezoid.

I do not believe either of them because of the heights of both the R.F. Mitte Building and the tallest building in San Marcos.

The height that a projectile can reach in ideal conditions (i.e., without air resistance) can be estimated by the physics formula for kinetic and potential energy equivalence:

mgh = 1/2mv²

The R.F. Mitte Building is 100 feet tall, and the tallest building in San Marcos is 150 feet tall. The velocity of a baseball thrown at the top of these buildings would need to be at least 44.27 m/s and 54.22 m/s, respectively, in order for it to reach the top.

This is a very high velocity, and it is unlikely that a person could throw a baseball with that much force. The fastest recorded pitch in Major League Baseball was by Aroldis Chapman at 105.1 mph, which is approximately 47 m/s.

Therefore, while the claim to throw a ball on top of the R.F. Mitte Building might be achievable by a person in excellent physical condition but the claim to throw a baseball on top of the tallest building in San Marcos seems impossible.

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Full question is:

A person claims they can toss a baseball on top of the R.F. Mitte Building. Not to be outdone, his buddy boasts he can throw a baseball on top of the tallest building in San Marcos.

Do you believe either of them and why?

The statement "the coefficient of determination measures the variation in the dependent variable that is explained by the regression model" is true because coefficient of determination, or R-squared, measures the proportion of variance in the dependent variable that is explained by the independent variables in a regression model.

The coefficient of determination, or R-squared, is a statistical measure that evaluates the goodness of fit of a regression model. It quantifies the amount of variance in the dependent variable that can be explained by the independent variables in the model. R-squared ranges from 0 to 1, where a value of 0 means that none of the variation in the dependent variable is explained by the model, while a value of 1 indicates that all the variation is explained.

Therefore, R-squared is useful in assessing the predictive power of a model, and higher values are generally preferred. However, it is important to note that R-squared alone does not guarantee a good model, and other factors such as model assumptions and outliers should also be considered.

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Answer: You earned 7 dollars and 50 cents per hour

Step-by-step explanation:

The money earned per hour 7.5.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Total hours= 7.5 hours

Total money earned= 56.25

So, money earned in one hour

=56.25/7.5

=7.5

hence, the money earned in hour is 7.5.

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The correct statement is: the volume of the cylinder is 8 cubic inches more than that of the cone.

The volume of cone (V) = 1/3 * πr²h

Volume of cylinder (V) = πr²h

Where, r is the radius of their bases.

The base area formula for the cone = πr²

Calculate the area of the base of the cone that has a radius (r) of 2.5 in:

Area of the base of the cone = π(2.5)² ≈ 19.6

The volume of the cone (V) = 1/3 * πr²h = 1/3 * π * 2.5² * 6.5

≈ 42.5 cubic inches

Volume of cylinder (V) = πr²h = π * 2² * 4

≈ 50.3 cubic inches

The difference in volume = 50.3  - 42.5

= 7.8 ≈ 8 cubic inches

Therefore, the only statement that is true is: the volume of the cylinder is 8 cubic inches more than that of the cone.

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Answer:

4 x 4 x 10

Step-by-step explanation:

A = 8 x 4 x 5 = 160

1) 8 x 4 x 6 = 192

2) 6 x 10 x 2 = 120

3) 5 x 4 x 7 = 140

4) 4 x 4 x 10 = 160

Answer:

Option 4, Length 4ft, Width 4ft, Height 10ft

Step-by-step explanation:

Prism A and B have the same volume. Volume is found by multiplying length, width and height together.

The volume of prism A is

8 x 4 x 5 = 160 cubic ft

Multiply all the 4 options together until you get a match of 160 cubic ft

8 x 4 x 6 = 192 cubic ft

6 x 10 x 2 = 120 cubic ft

5 x 4 x 7 = 140 cubic ft

4 x 4 x 10 = 160 cubic ft

Answer:

118/3x - 59

Step-by-step explanation:

Hope this helps! :)

Answer:

-6+3\(\sqrt{2}\) and -6-3\(\sqrt{2}\)

Step-by-step explanation:

xy = 18

x+y = -12

y = -12-x

substitution method:

x(-12-x) = 18

-12x - x² - 18 = 0

-x² - 12x - 18 = 0

-(x² + 12x + 18) = 0

used quadratic formula:

(-12±√144 - 4(18)) ÷ 2

(-12 ± \(\sqrt{72}\)) ÷ 2

(-12 ± 6\(\sqrt{2}\)) ÷ 2

= -6 ± 3\(\sqrt{2}\)

Answer:

anwers c

Step-by-step explanation:

Answer:

428 square ft

Step-by-step explanation:

to do this you can break the shape up into multiple pieces

you can do it this way

the top left part of the polygon could be one shape

9 by 10

this is because if the left side is 23 and part of the left side is 13 the leftover part is 10

then the bottom is 13 by 26

then you multiply and add them together

(9 * 10) + (13 * 26) = 90 + 338

then you add

90 + 338 = 428

the answer is 428 square ft

Based on the ratio of the weights of objects in Planet A to Planet B, an elephants weighing 4,500 pounds on Planet A would weigh 135 pounds on Planet B

The ratio of the weight of an object in Planet A is 100 to 3 on Planet B. This means that every 100 pounds on Planet A is 3 pounds on Planet B.

If an elephant on Planet A is 4,500 pounds, on Planet B it would weigh:

Weight on Planet B = (4,500 x 3) / 100

Weight on Planet B = 13,500 / 100

Weight on Planet B = 135 pounds

In conclusion, the weight of the elephant on Planet B would be 135 pounds.

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Answer:

Step-by-step explanation:

Area of circle equation:

Circumference of circle equation:

Use circumference equation to find the radius:

Find the area:

The evaluation of the expression 12.75 ÷ 1.5 is 51  / 6.

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.

Therefore, let's evaluate the expression as follows:

Hence,

12.75 ÷ 1.5

Let's convert each decimal to fractions for easy evaluation

Therefore,

12.75  = 1275 / 100

1.5 = 15 / 10

Therefore,

1275 / 100 ÷ 15 / 10

Let's change the division sign to multiplication sign.

1275 / 100 × 10 / 15

1275 / 150

Therefore,

255 / 30 = 51 / 6

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Answer:

47°

Step-by-step explanation:

it this from mathwatch

Answer:

A≈19.31

Step-by-step explanation:

Formula to find area of Octagon: A=2(1+√2)a^2

Divide 16/8 since there are 8 sides.

Answer:

19.31

Step-by-step explanation:

Formula:

\(A=2(1+\sqrt{x} 2)a^2\)

Hope this helps :)

Pls Brainliest...

Answer:

3816m

Step-by-step explanation:

72 + 72= 144

8960 - 144= 3816

This is an example of a c)confounding variable. A confounding variable is a type of bias that occurs when the researcher is unable to accurately determine the cause of the results.

In this case, the researchers cannot tell if the difference in yield between soybean type 1 and soybean type 2 is a result of the superiority of type 1 soybeans or the drought, so the drought is the confounding variable.

To accurately determine the cause of the difference in yield, a bias-matched pairs design should be used. This involves replicating the experiment by planting both soybean types in the same location with and without the drought, and then comparing the results.

This would reveal whether the difference in yield was actually caused by the superiority of type 1 soybeans or the drought.

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Answer:

confounding variable

Step-by-step explanation:

I got it right on the test :)

Answer:

d = 81

Step-by-step explanation:

Solve for d:

36 = (4 d)/9

Hint: | Reverse the equality in 36 = (4 d)/9 in order to isolate d to the left hand side.

36 = (4 d)/9 is equivalent to (4 d)/9 = 36:

(4 d)/9 = 36

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (4 d)/9 = 36 by 9/4:

(9×4 d)/(4×9) = 9/4×36

Hint: | Express 9/4×4/9 as a single fraction.

9/4×4/9 = (9×4)/(4×9):

(9×4)/(4×9) d = 9/4×36

Hint: | Express 9/4×36 as a single fraction.

9/4×36 = (9×36)/4:

(9×4 d)/(4×9) = (9×36)/4

Hint: | Cancel common terms in the numerator and denominator of (9×4 d)/(4×9).

(9×4 d)/(4×9) = (4×9)/(4×9)×d = d:

d = (9×36)/4

Hint: | In (9×36)/4, divide 36 in the numerator by 4 in the denominator.

36/4 = (4×9)/4 = 9:

d = 9×9

Hint: | Multiply 9 and 9 together.

9×9 = 81:

Answer: d = 81

Answer: d=81

Step-by-step explanation:

Given

36=4/9 d

Divide both sides by 4/9 (division property of equality)

d=36 ÷ (4/9)

Turn division of fraction into multiplication of its reciprocal

d=36 × (9/4)

Simplify

d=81

Hope this helps!! :)

Please let me know if you have any question

Answer:

I guess 25%..

Step-by-step explanation:

Solution,

Here,

Amount of decrease= $180 - $135

= $45

Now,

Percent of decreasement = $45/$180 × 100%

= 25%

To check our work, we can measure the dimensions of the scale drawing and multiply by 2 to get the actual dimensions. This should give us 8 feet by 4 feet, the same as the actual sign.

To create a scale drawing of the sign, we will need to decide on a scale. Let's choose a scale of 1 inch to represent 2 feet. This means that we will need to multiply all dimensions of the sign by 0.5 to get the dimensions of the scale drawing. The actual sign measures 8 feet by 4 feet, so the scale drawing will be 4 inches by 2 inches. We can draw the scale drawing on the grid provided, using each square to represent 0.5 inches. To indicate the relationship between the dimensions in the scale drawing and the actual sign, we can create a key. Let's use "1 inch = 2 feet" as our key. Label the sides of the scale drawing as "Width: 4 inches" and "Height: 2 inches."

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Answer:

Step-by-step explanation:

x=-3, y=5

2х + Зу = 9

3х + 5y = 16

6x + 9y = 27

6x + 10y = 32

-y = -5

y = 5

2x + 3(5) = 9

2x = 9-15

2x = -6

x=-3

The total number of ways to split the group of 10 people into two groups of size 3 and one group of size 4 is 120 * 35 * 1 = 4,200. To split a group of 10 people into two groups of size 3 and one group of size 4, we can use the concept of combinations.

The number of ways to split the group can be calculated by determining the number of combinations of selecting 3 people from 10 for the first group, then selecting 3 people from the remaining 7 for the second group, leaving the remaining 4 people for the third group.

To split the group of 10 people into two groups of size 3 and one group of size 4, we can calculate the number of ways using combinations. The first group of size 3 can be formed by selecting 3 people from the total of 10 people. This can be represented as C(10, 3) = 10! / (3!(10-3)!).

Evaluating this expression:

C(10, 3) = 10! / (3! * 7!) = (10 * 9 * 8) / (3 * 2 * 1) = 120.

After selecting the first group, we are left with 7 people. From these 7 people, we need to select another group of size 3, which can be represented as C(7, 3) = 7! / (3!(7-3)!).

Evaluating this expression:

C(7, 3) = 7! / (3! * 4!) = (7 * 6 * 5) / (3 * 2 * 1) = 35.

Lastly, we have 4 people remaining, and they will form the third group of size 4. Since there is only one group left, there is only one way to assign the remaining 4 people to this group.

Therefore, the total number of ways to split the group of 10 people into two groups of size 3 and one group of size 4 is 120 * 35 * 1 = 4,200.

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Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.