Need help, please.
Three randomly selected children are surveyed. The ages of the children are 3, 5, and 10. Assume that samples of size n = 2 are randomly selected with replacement from the population of 3, 5, and 10.

Answer:

7.8 miles.

Step-by-step explanation:

5.2 x 1.5 = 7.8

Answer:

4

Step-by-step explanation:

Hope this helps!

Answer:

x=6

Step-by-step explanation:

Solve for x.

5x-15 = 2x+3

(Move the 2x to the other side of the equation.)

3x-15= 3

(Move the 15 to the right side of the equation.)

3x=18

(Divide both sides by 3 to isolate the variable.)

x=6

I hope this helps!

Answer:

w = 0

Step-by-step explanation:

\(w+4w=0\\\\\mathrm{Add\:similar\:elements:}\:w+4w=5w\\\\5w=0\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5w}{5}=\frac{0}{5}\\\\Simplify\\\\w=0\)

B) a study in the relationship between a college student’s major and the salary for the first year after graduation.

To compare the variations between the treatment groups, inferential statistics are frequently utilized. Inferential statistics employ data from the experiment's sample of participants to compare the treatment groups and draw conclusions about the subject population as a whole.

The study that best exemplifies inferential statistics is:

B) a study in the relationship between a college student’s major and the salary for the first year after graduation.

Inferential statistics is used to make inferences or predictions about a population based on a sample of data. This study involves examining the relationship between a college student's major and the salary they earn in the first year after graduation, which involves making inferences about the population of all college graduates based on a sample of data.

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Answer:

I dont know if this is supposed to be solved a certain way for a class, but as a bargain shopper, this is what I would do to figure out the best value.

Step-by-step explanation:

First divide $10 by 4:   10.00/4=2.5 or $2.50 per card

Then, divide $14 by 6:  14.00/6=2.3333333 so about $2.33 per card

Now, just look at the two answers and see which one is less.

If you buy 4 cards for $10, you will pay $2.50 for each card and if you buy 6 cards for $14, you will pay about $2.33 for each card. Therefore, the better value would be the 6 cards for $14.

Answer:

they are equal

Step-by-step explanation:

the both are the same amount its 2.50 a card

Answer:

the relation that is not a function is the answer (C) .

Yes you are correct. The diagonals of any kite are perpendicular.

This can be proven by showing that triangle KGH is congruent to triangle KJH through the SSS congruence theorem. From there you break up the triangles focusing on triangle JRK and triangle GRK, now using the SAS rule to conclude that angle JRK = angle GRK. Since those are a linear pair, those angles must be right angles.

Side note: A kite is defined to be any quadrilateral in which it has two pairs of adjacent congruent sides. Not all four sides are the same length though (otherwise we would have a rhombus).

Answer:

The factor is polynomial

Step-by-step explanation:

trust me broski

On solving the provided question, we can say that by unitary method we got that the 3, 3/4 yards of fabric that she bought did she actually use

\(3\frac{3}{4} - 9/10 = > 31/10\)

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

she buys  = 3, 3/4 yards of fabric

she uses = 9/10 of this piece of fabric

the 3, 3/4 yards of fabric that she bought did she actually use

\(3\frac{3}{4} - 9/10\\15/4 - 9/10\\150 - 36/40\\124/40\\62/20\\31/10\)

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The mean of the fitted exponential distribution is 66.67.

To find the mean of the fitted exponential distribution, we first need to estimate the parameter lambda using maximum likelihood estimation.

The probability density function of the exponential distribution is given by

f(x; lambda) = lambda * exp(-lambda * x)

where x is the claim size and lambda is the parameter to be estimated.

The likelihood function for the observed data is the product of the individual probabilities of each claim

L(lambda) = lambda^n * exp(-lambda * sum(x_i))

where n is the number of observed claims and x_i is the i-th claim size.

The log-likelihood function is given by:

ln L(lambda) = n * ln(lambda) - lambda * sum(x_i)

To estimate the parameter lambda, we need to maximize the log-likelihood function with respect to lambda:

d/d(lambda) ln L(lambda) = n/lambda - sum(x_i) = 0

Solving for lambda, we get

lambda = n / sum(x_i)

Substituting the observed values, we get

lambda = 6 / (20 + 45 + 50 + 80 + 100 + 2*100) = 0.015

Therefore, the estimated parameter of the fitted exponential distribution is lambda = 0.015.

The mean of the exponential distribution is given by

E(X) = 1/lambda

Substituting the estimated value of lambda, we get

E(X) = 1/0.015 = 66.67

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Answer:

1

Step-by-step explanation:

Answer:

21,704

Step-by-step explanation:

Find the volume of both the top of the silo (hemisphere) and the end bit of the silo (cylinder)

V = \(\frac{2}{3}\) \(\pi\)\(r^{3}\) is the formula for finding the volume of a hemisphere

V = \(\pi\)\(r^{2}\)h is the formula for finding the volume of a cylinder

Let's find the hemisphere first.

We're using 3.14 for pi, so the equation would look like this

V = \(\frac{2}{3}\) x 3.14 x \(12^{3}\)

V = \(\frac{2}{3}\) x 3.14 x 1728

V = 3617.28 \(ft^{3}\)

Now let's find the volume of the cylinder.

V = 3.14 x \(12^{2}\) x 40

V = 3.14 x 144 x 40

V = 18,086.4 \(ft^{3}\)

Last, you add both volumes together.

3617.28 + 18,086.4 = 21,703.68

Round it to make it 21,704.

The total number of cubic feet of grain or volume of the grain that the silo can hold is 28947.41 .

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

Given that the top of a silo is a hemisphere

Radius(r) = 12 ft.

Then, the volume of a hemisphere is,

V = 2/3πr³

V = 2/3 x 3.14 x 12³

V = 10851.84 feet³

And, the bottom of the silo is a cylinder with

height (h) = 40ft.

the volume of a cylinder is,

V = πr²h

V = 3.14 x 12² x 40

V = 18095.57

So, the total volume is

V = 10851.84 + 18095.57

V = 28947.41

Then, total volume = total number of cubic feet of grain

Hence, the required answer is, 28947.41 .

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The graph that models the situation is a linear graph with a y-intercept of $14.65 and a slope of $2 per gigabyte used. This is because Carol's Phone Service charges a flat activation fee of $14.65 for their Service and an additional $2 per gigabyte of data used.

The y-intercept of the graph represents the initial charge of activating the Service, and the slope represents the additional charges for every gigabyte used. As the amount of data used increases, the total charges will increase linearly, which is reflected in the slope of the graph. Overall, the linear graph is the best model to represent the charges for Carol's Phone Service.

To model Carol's Phone Service charges, we need to consider the activation fee and the cost per gigabyte used. The equation representing the situation is:

Total Cost = Activation Fee + (Cost per Gigabyte × Gigabytes Used)

In this case, the activation fee is $14.65 and the cost per gigabyte is $2. So, the equation becomes:

Total Cost = 14.65 + 2g

This is a linear equation, where the total cost increases by $2 for each additional gigabyte used. The graph of this equation will be a straight line with a slope of 2 (representing the $2 per gigabyte) and a y-intercept at 14.65 (representing the activation fee). Look for a graph that displays these characteristics.

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When testing the difference between the means of two normally distributed populations using independent random samples with equal variances, the correct test statistic to use is the two-sample t-test.

The two-sample t-test compares the means of two independent samples to determine if there is a significant difference between them. It takes into account the sample means, sample sizes, and sample variances to calculate a t-value. The assumption of equal variances is important in this context.

The formula for the two-sample t-test depends on the specific context, such as whether the samples have equal or unequal variances. The appropriate formula can be selected accordingly. However, when the variances of the populations are assumed to be equal and the sample sizes are relatively large (as per the general guidelines), the pooled two-sample t-test is commonly used.

In summary, the correct test statistic to use for testing the difference between the means of two normally distributed populations using independent random samples with equal variances is the two-sample t-test.

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Answer:

I think its 180, i'm not sure

The idea of the Laffer Curve, as it is expressed mathematically, is that there is an optimal tax rate at which the government can maximize revenue. This concept is based on the idea that as tax rates increase, revenue collected by the government initially increases but eventually reaches a point at which further increases in tax rates lead to a decrease in revenue.

The Laffer Curve is used to analyze how economic policies may affect growth and stability by illustrating the trade-off between higher tax rates and revenue generation. It is often used as an argument to reduce the government's role in the economy, as increasing taxes beyond a certain point can be counterproductive.

Additionally, the Laffer Curve is related to the idea that aggregate supply increases when production costs decrease, as lower taxes can lead to lower production costs and, therefore, an increase in supply. This is a long answer that describes the various aspects of the Laffer Curve.

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Answer:14:12

Step-by-step explanation:

Answer:

16/21

Step-by-step explanation:

Step-by-step explanation:

x be an irrational number between 9.5 and 9.7.

So, we consider that  x = 9.562536941412578914...

Rounding to the nearest hundredth

x = 9.56.

9.56763865854637984..... (rounded 9.57)

irrational because it has no pattern

Answer:  \(\large \sqrt{91}\)

Step-by-step explanation:

An irrational number is a square root in its simplest form.

We want an irrational number between 9.5 and 9.7

                               \(\huge 9.5<\sqrt x <9.7\)

square all sides     90.25 < x < 94.09

Answer: The square root of any number between 90.25 and 94.09 will work so there are an infinite number of possible answers. \(\sqrt{91}, \sqrt{92}, \sqrt{93}, \sqrt{94}\)

The values are: sin(13π/6) = 1/2

cos(13π/6) = √3/2

tan(13π/6) = √3/3

To evaluate the sine, cosine, and tangent of an angle, we can use the unit circle or trigonometric identities. Let's calculate the values for θ = 13π/6:

Sine (sinθ):

The reference angle for 13π/6 can be found by subtracting full revolutions. In this case, subtracting 2π:

θ = 13π/6 - 2π = π/6

The sine of π/6 is 1/2:

sin(π/6) = 1/2

Cosine (cosθ):

Using the reference angle from the previous step, we can determine the cosine. The cosine of π/6 is √3/2:

cos(π/6) = √3/2

Tangent (tanθ):

The tangent can be calculated by dividing the sine by the cosine:

tanθ = sinθ / cosθ

Substituting the values:

tan(π/6) = (1/2) / (√3/2)

To simplify the expression, we multiply both the numerator and denominator by 2/√3:

tan(π/6) = (1/2)× (2/√3) / (√3/2) × (2/√3)

= 1/√3

Rationalizing the denominator by multiplying both the numerator and denominator by √3:

tan(π/6) = (1/√3) ×(√3/√3)

= √3/3

Therefore, the values are:

sin(13π/6) = 1/2

cos(13π/6) = √3/2

tan(13π/6) = √3/3

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Answer:

\(sum = (n - 2) \times {180}^{0} \\ {1980}^{0} = (n - 2) \times {180}^{0} \\ (n - 2) = \frac{1980}{180} \\ (n - 2) = 11 \\ n = 11 + 2 \\ n = 13 \: sides\)

Answer:

he ran 1.2 miles day

Step-by-step explanation:

so if he only ran a mile a day it would be 5 miles leaving 1 mile left.

so think if the number 100 and find 1/5 of that or divide by 5 which is 20 so add decimals to the beginning so it would be .100 and .2 and 1.2×5=6

The system of equations are solved and the value of x and y are -4 and 12 respectively

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

4x + 3y = 20   be equation (1)

3x + 2y = 12   be equation (2)

Multiply equation (1) by 3 and equation (2) by 4 , we get

12x + 9y = 60   be equation (3)

12x + 8y = 48   be equation (4)

Subtracting equation (4) from equation (3) , we get

y = 12

Substituting the value of y in equation (2) , we get

3x + 2 ( 12 ) = 12

Subtracting 24 on both sides , we get

3x = -12

Divide by 3 on both sides , we get

x = -4

Hence , the system of equations are solved

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Answer:

it´s no

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

To calculate the total cost of the painting job, we need to consider the cost of paint, brushes, pans, and sales tax.

1. Calculate the number of gallons of paint needed:
Total area of the ceiling = 1,000 square feet
Coverage per gallon = 200 square feet
Number of gallons needed = Total area / Coverage per gallon = 1,000 / 200 = 5 gallons

2. Calculate the cost of the paint:
Cost per gallon = $33.00
Total cost of paint = Number of gallons * Cost per gallon = 5 * $33.00 = $165.00

3. Calculate the cost of brushes and pans:
Cost of brushes and pans = $58.00

4. Calculate the subtotal:
Subtotal = Total cost of paint + Cost of brushes and pans = $165.00 + $58.00 = $223.00

5. Calculate the sales tax:
Sales tax rate = 9%
Sales tax amount = Subtotal * Sales tax rate = $223.00 * 0.09 = $20.07

6. Calculate the total cost including tax:
Total cost = Subtotal + Sales tax = $223.00 + $20.07 = $243.07

Rounding the answer to the nearest dollar, the job will cost approximately $243.


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Answer:

True

Step-by-step explanation:

This equation correctly represents the total cost of the food that the friends ended up paying for the popcorn and sodas. In this expression, the cost of each individual soda is represented by the variable x which is multiplied by 4 since each one of the four friend's purchased their own soda. After making this multiplication process that product is added to the initial $12 that they all spent together on the popcorn.

Each friend paid $4 for popcorn.

The total cost of the food can be represented by the expression 4x + $12.

Given

Four friends bought an extra-large $12 popcorn.

Each person bought their own drink.

Let x be the number of friends.

The total cost of food= Total number of friends + cost of popcorn.

The total cost of the food can be represented by the expression 4x + $12.

Therefore;

The amount paid by each friend is;

\(\rm 4x=12\\\\x=\dfrac{12}{3}\\\\x=4\)

Hence, each friend paid $4 for popcorn.

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Answer:

y = 2x - 5

Explanation:

Since the slope is given as 2, we can substitute this into the equation:

y = 2x+b

Now, we can manipulate the point (-1,-7) to be in the form of a y-intercept - (0, y).

Note that a slope of 2 = 2/1, which means the rise = 2(which is added to the y) and run = 1(which is added to the x).

Adding this to our point of (-1,-7), we get:

((-1+1),(-7+2)) = (0, -5)

Therefore -5 is our y-intercept.

Now, substituting -5 into our equation, we get:

y = 2x + -5

Answer:

y=2x-5

Step-by-step explanation:

The slope-intercept form of an equation looks like y=mx+b. Where m is the slope and b is the y-intercept. The slope is already given to us, so m is 2.

To find b use the equation \(b=y_1-m*x_1\). So, to find the y-intercept use b=-7-(2*-1). This equals b=-5.

So, plug in the values to get the final equation y=2x-5.

Answer:

B. 35°

Step-by-step explanation:

m<4 = x + 20

m<8 = 2x + 5

✔️First, find the value of x:

m<4 = m<8 (corresponding angles are equal)

Substitute

x + 20 = 2x + 5

Collect like terms

x - 2x = -20 + 5

-x = -15

Divide both sides by -1

x = 15

✔️Find m<8:

m<8 = 2x + 5

Plug in the value of x

m<8 = 2(15) + 5

m<8 = 30 + 5

m<8 = 35°