Mr. Johnson has a piece of pipe 5 1/3 feet long. He decides to cut it into 3 equal pieces to use in making a railing for his porch. How long should he cut each piece?

HURRY!!! WILL GIVE ALOT OF POINT AND BRAINLIEST

Answer:

15°

Step-by-step explanation:

45 + 15 = 60° (which is 4x since they're vertically opposite angles)

4x = 60°

x = 60 ÷ 4 = 15

Answer:

14.1

find the square root of 490.9, then divide that by pi to get the radius. lastly multiply by two to get diameter.

Answer:

Okay the question is a little unclear, but if he's only doing english, science and history the answer should be 17/40

Step-by-step explanation:

1/5=8/40

3/8=15/40

8/40+15/40=23/40

40/40-23/40=17/40

Answer:

It will take 56 hours to make 8 airplanes

Step-by-step explanation:

Given that,

Carson builds 3 airplanes in 1 3/4 hours i.e. 7/3 hours.

We need to find the time it would take him to make 8 airplanes.

We know that,

3 airplanes = 7/3 hours.

1 airplane = (7/3)×3 hours

= 7 hours

To make 8 airplanes, the required time will be :

T = 8×7

= 56 hours

Hence, it will take 56 hours to make 8 airplanes.

When the population standard deviation is unknown and the sample size is less than 30, we need to use the t-distribution to compute a confidence interval for the mean, and we should consult a t-table to find the appropriate t-value based on the degrees of freedom and the desired level of confidence.

When the population standard deviation is unknown and the sample size is less than 30, we need to use the t-distribution to compute a confidence interval for the mean.

The t-distribution is similar to the standard normal distribution, but with heavier tails, and it is used when the population standard deviation is unknown.

To compute the confidence interval for the mean using the t-distribution, we need to find the appropriate t-value from a t-table. The t-table provides critical values for different degrees of freedom and levels of confidence.

The degrees of freedom for a t-distribution with a sample size of n is (n-1). For example, if we have a sample size of 20, the degrees of freedom would be 19.

To find the appropriate t-value from the t-table, we need to know the degrees of freedom and the desired level of confidence. For example, if we have a sample size of 20 and want to calculate a 95% confidence interval, we would look for the t-value with 19 degrees of freedom and 0.025 (0.05/2) in the middle of the table. This t-value would be used in the formula to calculate the confidence interval for the mean.

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To find the value of x, we first need to understand the relationship between the rectangle and the circle.

When a rectangle is inscribed inside a circle, its diagonal is equal to the diameter of the circle.

Let's denote the length of the rectangle as L, the width as W, and the diameter of the circle as D.

Using the Pythagorean theorem, we can establish the relationship between the dimensions of the rectangle and the circle:

L² + W² = D²

Now, if you provide the dimensions of the rectangle or the diameter of the circle, we can solve for the missing value (x) using the given information.

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Answer:

Yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes

Answer:

Step-by-step explanation:

We can use the ratios of similar triangles to solve this problem. Let's call the height of the tree "h". Then, we have two similar right triangles:

Kaylee's triangle: the height is 1.45 meters, the length of the shadow is 34.2 meters, and the angle between the height and the shadow is theta.

Tree's triangle: the height is h meters, the length of the shadow is 39.55 meters, and the angle between the height and the shadow is also theta.

Using these two triangles, we can set up the following proportion:

h / 39.55 = 1.45 / 34.2

Cross-multiplying, we get:

h * 34.2 = 39.55 * 1.45

Simplifying:

h = (39.55 * 1.45) / 34.2

h = 1.68176

So the height of the tree is approximately 1.68 meters (to the nearest hundredth of a meter).

Answer:

for the 10 column it is $150.00 the next column is 15 and for 200 it is $250.00

Step-by-step explanation:

The statistical decision based on the reported results of the hypothesis test is that the null hypothesis was rejected at the α = .05 significance level.

The t-value reported is 2.38, and the degrees of freedom are 21. This suggests that the test was likely a t-test with an independent samples design, where the sample size was n = 22 (since df = n - 1).

The p-value reported is less than .05, which indicates that the probability of obtaining the observed results, or results more extreme, under the assumption that the null hypothesis is true, is less than .05. Therefore, the null hypothesis is rejected at the .05 significance level in favor of the alternative hypothesis.

In conclusion, the statistical decision is that there is sufficient evidence to suggest that the population means are not equal, and the sample size was 22. However, we do not have information about the direction of the effect (i.e., whether the difference was positive or negative).

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Answer:

i think that the last one would make more sense "If mia doesn't go to the mall, Justin doesn't like pretzels". Im not 100% sure tho

The 95% confidence interval for the population proportion is approximately (0.7465, 0.7935).

(a) To calculate a 90% confidence interval for the population proportion, we can use the formula:

Confidence Interval = sample proportion ± z * sqrt((sample proportion * (1 - sample proportion)) / sample size)

Given that the sample proportion is p = 0.77 and the sample size is n = 800, we need to find the critical value, z, corresponding to a 90% confidence level.

Using a standard normal distribution table or a statistical software, the critical value for a 90% confidence level is approximately 1.645.

Substituting these values into the formula, we have:

Confidence Interval = 0.77 ± 1.645 * sqrt((0.77 * (1 - 0.77)) / 800)

Calculating the confidence interval, we get:

Confidence Interval = 0.77 ± 0.0191

Therefore, the 90% confidence interval for the population proportion is approximately (0.7509, 0.7891).

(b) Similarly, to calculate a 95% confidence interval, we need to find the critical value corresponding to a 95% confidence level. The critical value is approximately 1.96 for a 95% confidence level.

Using the same formula and substituting the values, we have:

Confidence Interval = 0.77 ± 1.96 * sqrt((0.77 * (1 - 0.77)) / 800)

Calculating the confidence interval, we get:

Confidence Interval = 0.77 ± 0.0235

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An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Answer:

if jacob buys 2 shirts that are $20.99 each, and he has $68.54, how much money will he have left after buying both shirts? (answer: $26.56)

Step-by-step explanation:

20.99(2) = 41.98

68.54 - 41.98 = 26.56

the number of ways of choosing 6 cds from 20 to bring on vacation is 27907200

permutation are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate permutation , we will use the formula nCr = n! / (n - r)!,

where n represents the total number of items, and r represents the number of items being chosen at a time.

20C6 = 20! / 14!

        = 20*19*18*17*16*15

       = 27907200

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Answer:

I have to agree

it's A.

but I'm also thinking it's D.

Answer:

the answer is 3/4 because 7/12 + 2/12 is 9/12 which simplified is 3/4

Step-by-step explanation:

Answer:

.............. . .......

The answer is option D which is the range will be ( -∞, ∞ ).

After substituting the domain, the range of a function is the entire set of all possible values for the dependent variable (often y).

Given function is

u(x) = -2x²+3 and v(x) = ( 1 / x ).

The product of the function will give uv(x).

uv(x) = (-2x²+3 ) x  \(\dfrac{1}{x}\)

uv(x) = \(\dfrac{-2x^2+3}{x}\)

When we plot the graph of the function we found two opposite curved graphs and they are not intersecting at any point so the range will be from negative infinity to positive infinity. The graph of the function is attached with the answer below.

Therefore the answer is option D which is the range will be ( -∞, ∞ ).

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The radius of the cone is 783.84/√h

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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The cosine form of the function 10sin(wt - 40)  is 10cos(wt - 50).

The cosine form of the function 10sin(wt - 40) can be found using the identity sin(x - y) = sin(x)cos(y) - cos(x)sin(y).

By applying this identity to the given function, we can rewrite it in terms of cosine.

10sin(wt - 40) = 10(sin(wt)cos(40) - cos(wt)sin(40))

Now, we can use the fact that cos(90 - x) = sin(x) and sin(90 - x) = cos(x) to further simplify the expression.

10(sin(wt)cos(40) - cos(wt)sin(40)) = 10(sin(wt)sin(50) + cos(wt)cos(50))

Finally, we can use the identity cos(x + y) = cos(x)cos(y) - sin(x)sin(y) to rewrite the expression in terms of cosine.

10(sin(wt)sin(50) + cos(wt)cos(50)) = 10cos(wt - 50)

Therefore, the cosine form of the function 10sin(wt - 40) is 10cos(wt - 50).

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Answer:0.48

Step-by-step equation:

Answer:

thats bustin bustin

Step-by-step explanation:

Answer:

Step-by-step explanation:

The continuous compound formula is

\(y=Pe^{rt\) where P is the principle or starting value, r is the growth rate in decimal form, and t is the time in years. For us:

\(y=3624e^{(.03)(2)}\\y=3624e^{.06}\\y=3624(1.061836547)\\y=3848.09\)

which would probably round to just 3848 people.

Answer:

the answer of this question is 1/2

Option B. $9,255.75, Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of

To find the present value of an infinite stream of cash flows, we can use the formula:

PV = CF / r

where PV is the present value, CF is the cash flow per period, and r is the interest rate per period.

In this case, CF = $100 (received at the end of each year forever) and r = 10%.

Plugging in the numbers, we get:

PV = $100 / 0.10 = $1,000

So the present value of the infinite stream of cash flows is $1,000.

However, we need to adjust for the fact that the cash flows are received at the end of each year, not at the beginning. To do this, we can use the formula:

PV = CF / (r - g)

where g is the growth rate of the cash flows, which in this case is 0 (since the cash flows are constant).

Plugging in the numbers, we get:

PV = $100 / (0.10 - 0) = $1,000

So the present value of the infinite stream of cash flows received at the end of each year is also $1,000.

Therefore, the answer must include the present value of an infinite stream of cash flows. Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of cash flows.

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The formula for the volume of a cylinder is:

V = πr^2h

where r is the radius and h is the height of the cylinder.

Substituting the given values, we get:

V = π(7^2)(13)

= 1274π

≈ 3993.87 cubic inches (rounded to the nearest hundredth)

Therefore, the volume of the cylinder is approximately 3993.87 cubic inches.