What is the total cost of a $12 t-shirt if the sales tax is 6.5%?

Answer:

yup yup yup yup yup yup yup yup yup

The degrees of freedom for the chi-square test statistic for the test of independence: 15

In this question we have been given we are testing the independence of two variables a and b. a has 6 levels (rows) and b has 4 levels (columns).

We need to find the degrees of freedom the chi-square test statistic for the test of independence have.

We know that the formula for degrees of freedom for chi square test of independence would be the (rows -1) x (columns -1)

Here, number of rows = 6

and the number of columns = 4

So, the degrees of freedom for the chi-square test statistic for the test of independence:

df = (rows -1) x (columns -1)

df = (6 -1) x (4 -1)

df = 5 x 3

df = 15

Therefore, the degrees of freedom = 15

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Answer:

8.2 cm

Step-by-step explanation:

The given shows us that we will be using CAH from SOH CAH TOA where

cos theta = adjacent / hypotenuse

in this case it will be

. cos 47 = h / 12

we want h to be the subject so we will multiply both sides by 12

. h = cos 47 * 12

. h = 8.184

now all you have to do is round to 1d.p

. h = 8.2cm

Answer:

3x2+9x−5

Step-by-step explanation:

You just have to add the like terms

Answer:

3x² + 9x - 5

Step-by-step explanation:

Group like terms:

3x² + 6x - 10 + 3x + 5

3x² + 9x -5

hope this helps :)

i) Distance between X and Y along the equator ≊ 6258 km

ii) Distance of X from the North pole ≊ 10057 km

What is the equator ?

The Equator is a fictitious line that circles the globe's center. The line that separates the Northern Hemisphere from the Southern Hemisphere is located halfway between the North and South Poles.

The Longitude difference = 123° - 67° = 56°

(i) Distance between X and Y along the equator

= (56/360)×2×(22/7)×6400cos(0)

= (56/360)×2×(22/7)×6400

= 6257.78 km  

≊ 6258 km

(ii) Latitude difference =  90°

Distance from the North pole

= (90/360)×2×(22/7)×6400

= 10057.14 km

≊10057 km

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Answer:

The amount of money shared is 360

Step-by-step explanation:

We are given that A certain amount of money is shared in a ratio 2:3:9.

Let x be the ratio

So, Shares of amount = 2x,3x and 9x

We are given that the difference between the first and second shares is $40

\(\Rightarrow 3x-2x=40\)

\(x=40\)

So, Shares are :

2x=2(40)=80

3x=3(40)=120

4x=4(40)=160

So,Total amount = 80+120+160=360

Hence the amount of money shared is 360

Answer:

x = 3

Step-by-step explanation:

Is x an exponent?

\( y = 3^x \)

\( 27 = 3^x \)

\( 3^3 = 3^x \)

\( x = 3 \)

In the next 10 years there will be 398 racoons in the state park

The annual increase in the population size is defined as a sum of differences: the difference between births less deaths and the difference between immigrants less emigrants, in a given country, territory or geographic area at a given year.

Using the formula

p(t) = p(o) e^ kt

k = 3.5/100 = 0.035

t = 10 years

p(t) = 280 e^ 0.035 ×10

p(t) = 280e^0.35

p(t) = 280 × 1.42

p(t) = 398( nearest whole number)

therefore be after 10 years there will be 398 racoons in the state park.

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Answer:

\(\sqrt{3} =1.7\\\sqrt{3/48} =0.04\\\sqrt{48} =6.9\\\frac{\sqrt{3} }{\sqrt{48} } =0.25\)

Step-by-step explanation:

I wasn't sure which one you were referring to

Answer:

1. a

2. b

3. b

4. b

5. C \(\geq\) 1

6. C \(\geq\) 1,000

7. y < -4

8. a \(\geq\) -2

9. m \(\leq\) -4

10. k < 0

Step-by-step explanation:

your question:

True or false: z=−5 is a solution to the inequality −2|z−3|<−20.

answer:

-2|z-3|<-20

-------. -----

-2 -2

|z-3|<10

equation 1: equation 2:

z-3<10. z-3>-10

z<13 z>-13

So false, z=-5 is not a solution to the inequality.

hope this helps, have a great day! :)

The resulting cross-section of a cylinder intersected by a plane parallel to the bases is a circle.

When a plane passes through a cylinder parallel to the bases, it creates a cross-section that is congruent to the bases of the cylinder. Since the bases of a cylinder are circles, the resulting cross-section is also a circle. The circle formed will have the same diameter as the bases of the cylinder and will be parallel to them. This is because the plane slices through the cylinder at a constant distance from the bases, resulting in a circular shape that is perpendicular to the axis of the cylinder. This characteristic holds true for any position of the plane parallel to the bases, resulting in circular cross-sections.

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Among the provided answer options, the closest value to -0.555 is -0.55, which is option c. Therefore, option c (-0.55) is the value of c that satisfies P(Z ? c) = 0.71.

The notation P(Z ? c) represents the probability that a standard normal random variable Z is less than or equal to c. To find the value of c that corresponds to P(Z ? c) = 0.71, we need to determine the Z-score associated with this probability.

Using a standard normal distribution table or a calculator, we can find that a Z-score of approximately 0.555 corresponds to a cumulative probability of 0.71. However, since we are looking for the value of c in P(Z ? c), we need to consider the opposite inequality.

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Answer:

A) 2⁵*3

Step-by-step explanation:

96

2*48

2*2*24

2*2*2*12

2*2*2*2*6

2*2*2*2*2*3

2⁵*3

Therefore, A is the correct answer.

The rate of change of the area of a circle with respect to its radius when r = 3 cm is 6π cm2/cm, and the rate of change of the area of a circle with respect to its radius when r = 4 cm is 8π cm2/cm.

The area of a circle can be calculated using the formula, A = πr^2, where A is the area of the circle and r is the radius.The rate of change of the area of a circle with respect to its radius r can be calculated using the derivative of the equation. By taking the derivative of A with respect to r, we get the equation, dA/dr = 2πr.This equation signifies that the rate of change of the area of a circle with respect to its radius is proportional to the radius. As the radius increases, the rate of change of the area of the circle also increases.To calculate the rate of change of the area of a circle with respect to its radius when r = 3 cm and r = 4 cm, we can substitute the corresponding values of r in the equation, dA/dr = 2πr.

For r = 3 cm, the rate of change of the area of the circle with respect to its radius is dA/dr = 2π(3) = 6π cm2/cm.

For r = 4 cm, the rate of change of the area of the circle with respect to its radius is dA/dr = 2π(4) = 8π cm2/cm.

Therefore, the rate of change of the area of a circle with respect to its radius when r = 3 cm is 6π cm2/cm, and the rate of change of the area of a circle with respect to its radius when r = 4 cm is 8π cm2/cm.

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Sn = Σ(7(x_i*) + 5(x_i*)^2)(1/n) for i=1 to n.

To find the Riemann sum formula for f(x) = 7x + 5x^2 on the interval [0,1], Sn, follow these steps:

1. Divide the interval [0,1] into n equal subintervals, each of width Δx = (1-0)/n = 1/n.
2. Choose a representative point x_i* in each subinterval. For example, you can use the right endpoint, x_i* = iΔx, where i is the index of the subinterval.
3. Evaluate the function f(x) at each representative point: f(x_i*) = 7(x_i*) + 5(x_i*)^2.
4. Multiply the function value at each representative point by the width of the subinterval:

f(x_i*)Δx = (7(x_i*) + 5(x_i*)^2)(1/n).
5. Sum the products from step 4 over all subintervals: Sn = Σ(7(x_i*) + 5(x_i*)^2)(1/n) for i=1 to n.

So, the Riemann sum formula for f(x) = 7x + 5x^2 on the interval [0,1], Sn, is given by

Sn = Σ(7(x_i*) + 5(x_i*)^2)(1/n) for i=1 to n.

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Answer:

Is there anything else to this question cause it's confusing and I would help you but if there is more information

Step-by-step explanation:

cluster sampling is the type of sampling is used.

In cluster sampling, a population is divided into clusters, which are smaller groups. They then choose a sample at random from these clusters. Often employed to investigate huge populations, particularly those that are extensively geographically distributed, cluster sampling is a probability sampling technique. Typically, clusters used by researchers are already-existing groups like cities or schools. Clusters are frequently more homogeneous than the population as a whole since they are typically naturally occurring groups, such as schools, cities, or houses. When conducting your study, you should be aware of this as it might compromise the validity of your findings.

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2 gallons per hour must flow out at spout B in order to fill the drum in exactly 96 hours

If the rate of flow through spout A is 2 gallons per hour and the drum needs to be filled in exactly 96 hours, then the total volume that needs to be filled is 2 gallons/hour × 96 hours = 192 gallons.

To fill the drum in 96 hours, the same amount of liquid should flow out of spout B. Therefore, the rate of flow out of spout B should be 192 gallons / 96 hours = 2 gallons per hour.

Hence, 2 gallons per hour must flow out at spout B in order to fill the drum in exactly 96 hours.

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Therefore, when the number of copies made in a month is above 4000, company A's charges are higher than company B's charges in the given equation.

Let's start by setting up an equation to represent the cost of renting a copier from each company:

Cost for company A = 0.10x + 200

Cost for company B = 0.05x + 400

where x is the number of copies made in a month.

To find the number of copies above which company A's charges are higher than company B's charges, we need to set the two equations equal to each other and solve for x:

0.10x + 200 = 0.05x + 400

0.05x = 200

x = 4000

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Answer:

3 miles a minute

Step-by-step explanation:

36 divided by 12= 3. 3 times 12 is 36. So if he drives 3 miles a minute for 12 miles it will take him 36 minutes.

The true solution to the equation \(\(x + 5 - \sqrt{x} = 3\)\) is \(\(x = \frac{4}{9}\)\), and there are no extraneous solutions.

To find the true solution(s) to the equation, we need to solve for x and check if the obtained solutions satisfy the original equation. The extraneous solution(s), if any, will be the solutions that do not satisfy the original equation.

To solve the equation, we can start by isolating one of the square root terms. Rearranging the equation, we have:

\(\sqrt{x + 5} = 3 + \sqrt{x}\).

The equation can be evaluated as:

\(\sqrt{x + 5} - \sqrt{x} &= 3 \\(\sqrt{x + 5})^2 &= (3 + \sqrt{x})^2 \\x + 5 &= 9 + 6\sqrt{x} + x \\6\sqrt{x} &= -4 \\\sqrt{x} &= \frac{-2}{3} \\x &= \frac{4}{9}\end{align*}\)

Therefore, the true solution to the equation \(\(x + 5 - \sqrt{x} = 3\)\) is \(\(x = \frac{4}{9}\)\), and there are no extraneous solutions.

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The complete question:

Solve the following equation and identify the true solution(s) as well as the extraneous solution(s):

\(\sqrt{x + 5} - \sqrt{x} = 3\).

A direct relationship between two variables is reflected in a "POSITIVE" correlation coefficient.

Correlation is a statistical technique for measuring and describing the relationship between two variables.

The variables move in the same direction when they have a positive correlation. In other words, as one variable increases, so does the other, and conversely, as one variable decreases, so does the other.

Typically, the two variables are simply observed rather than manipulated. Two scores from the same individuals are required for the correlation.

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Check the picture below.

9514 1404 393

Answer:

  (x, y) = (8, 2)

Step-by-step explanation:

Using the geometric mean rules for this geometry, we have ...

  h = √(4·32) = 8√2

and also ...

  a = √(4·36) = 12

  b = √(32·36) = 24√2

For the problem at hand, ...

  h = 8√2 = x√y   ⇒   x = 8, y = 2

Positive integers such that is divisible by exactly distinct primes and is divisible by exactly distinct primes, and has fewer distinct prime factors than , then has at most distinct prime factors.

First, let's consider what it means for a number to be divisible by exactly distinct primes. This means that the number can be written as a product of those primes raised to some power.

For example, 24 is divisible by exactly 2 distinct primes (2 and 3), because 24 = 2^3 * 3^1. Now, let's use this understanding to solve the problem. We know that has fewer distinct prime factors than , which means that can be written as a product of fewer primes than can.

Let's say that has distinct prime factors, and has distinct prime factors. Since is divisible by exactly distinct primes, we can write it as a product of those primes raised to some power: =  

Similarly, we can write as:= Now, we can see that every factor of must be a product of some subset of the prime factors in . For example, if and , then the factors of are:

- (no primes)
- (only )
- (only )
- (both and )

Note that every factor of must be of this form, since any other product of primes would involve some prime that isn't a factor of. But we know that has fewer distinct prime factors than ,

which means that there are at most subsets of the prime factors in that can be used to form factors of . In other words, has at most distinct prime factors.

To see why this is true, suppose that there were distinct prime factors of that could be used to form factors of . Then there would be subsets of those prime factors that could be used to form factors of , and each of those subsets would correspond to a distinct factor of .

But since has fewer distinct prime factors than , there can be at most such subsets. Therefore, we've shown that if and are positive integers

such that is divisible by exactly distinct primes and is divisible by exactly distinct primes, and has fewer distinct prime factors than , then has at most distinct prime factors.

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Answer:

-44

Step-by-step explanation:

Answer:

15w - 15y - 36

Step-by-step explanation:

Combine like terms

In this case the only two terms would be numbers without variable and numbers with the variable w

First lets combine the numbers with no variable which are -16 and -20. you subtract these two -16 - 20 = -36 and get -36

Now lets combine like terms for w, it doesn't matter which order you go in exactly but in the case I will do

1. combine 8w and 7w, since these are both positive you will add the together

8w + 7w = 15w

2. Now combine -11y and -4y, since these are both negative you will subtract them and get -15y

The quadrilateral that has diagonals that always bisect its angles and also bisect each other is a (1) rhombus.

In a Rhombus, the diagonals are perpendicular bisectors of each other, and they bisect each other at their point of intersection, dividing the rhombus into four congruent triangles.

Each angle of a rhombus is = 180° divided by number of sides, so each angle of a rhombus is 90°.

In a rectangle, the diagonals bisect each other, but they do not necessarily bisect the angles of rectangle.

In a parallelogram, the diagonals bisect each other, but they do not necessarily bisect the angles of parallelogram.

In an isosceles trapezoid, the diagonals do not bisect each other.

Therefore, the correct answer is option (1) rhombus.

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The given question is incomplete, the complete question is

Which quadrilateral has diagonals that always bisect its angles and also bisect each other?

1) rhombus

2) rectangle

3) parallelogram

4) isosceles trapezoid.