A chess team is ordering customized T-shirts for a competition. The table shows the cost of ordering different numbers of T-shirts. Write a
linear model that represents the cost as a function of the number of shirts

Answer:

A) y-1=-3/2(x+1)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-1)/(1-(-1))

m=-3/(1+1)

m=-3/2

y-y1=m(x-x1)

y-1=-3/2(x-(-1))

y-1=-3/2(x+1)

Answer:

Child = $ 10.00

Adult = $ 14.00

Step-by-step explanation:

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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Answer: 3 2/4 & 9 13/15

Step-by-step explanation:

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Let's solve :

_____________________________

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We are given that P(Ac) = 0.6, P(B) = 0.3, and P(A ∩ B) = 0.2. The probability of the union of events A and B, P(A ∪ B), is 0.5.

To determine P(A ∪ B), we can use the inclusion-exclusion principle.

The inclusion-exclusion principle states that the probability of the union of two events can be calculated by summing the probabilities of each individual event, subtracting the probability of their intersection.

Mathematically, it can be represented as:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Given that P(Ac) = 0.6, we know that P(A) = 1 - P(Ac) = 1 - 0.6 = 0.4.

We are also given that P(B) = 0.3 and P(A ∩ B) = 0.2.

Substituting these values into the inclusion-exclusion principle formula:

P(A ∪ B) = 0.4 + 0.3 - 0.2 = 0.5

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The equivalent expression is (p3)(6p^4 - 12p^3 - 2p^2 + 4p).

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given:

(p^3)(2p^2 - 4p)(3p^2 - 1)

Now further solving

(p^3)(2p^2 * 3p^2 - 2p^2 * 1 - 4p * 3p^2 + 4p)

=(p^3) (6p^4 - 2p^2 - 12 P^3 + 4p)

=(p3)(6p^4 - 12p^3 - 2p^2 + 4p)

Hence, the value of expression is (p3)(6p^4 - 12p^3 - 2p^2 + 4p).

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Answer:

4

Step-by-step explanation:

3/9 is the same as 1/3 so 1/3 or 12 is 4

Answer:

4

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

a + (-6), a = 4

(4) + (-6)

4 - 6

= -2

A larger sample size will result in a more reliable estimate of the population mean, lowering the variability and resulting in a higher F-ratio, which will result in the null hypothesis being rejected. As a result, both options A and B are correct.

Here we want to find,

the likelihood of rejecting the null hypothesis using anova is increased by which.

To increase the likelihood of rejecting the null hypothesis using ANOVA, a decrease in SSWITHIN and an increase in sample sizes are needed.

In statistics, analysis of variance (ANOVA) is a technique for comparing the means of two or more samples. ANOVA is an extension of the t-test and z-test methods, which can be used to compare only two means.

ANOVA compares the variation within the groups to the variation between the groups to see whether or not there is a statistically significant difference between them.

The null hypothesis (\(H_0\)) in ANOVA is that the means of all groups are equal, while the alternative hypothesis (Ha) is that at least one group's mean is different from the others.

In ANOVA, a low value of SSWITHIN is desirable because it reflects that the data points are clustered around their respective means.

As a result, ANOVA will result in a higher F-ratio, which means that the null hypothesis will be rejected.

So, both a and b options are correct.

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As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

If there is a low supply and a high demand, there is an increase in price and vice versa.

Last 2012, there was a virus which infected millions of chicken. It was known as Avian influenza or bird flu. It resulted to scarcity of eggs.

As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

For example we can use water. If a product becomes scarce its price would increase due to supply in demand.

If drinkable water became scarce its price would be greatly increased to its need and being in extreme demand.

In short,  if there is a low supply and a high demand, there is an increase in price and vice versa.

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Step-by-step explanation:

According to the Alternate Exterior Angles Theorem, when a transversal cuts two parallel lines, the alternate exterior angles are congruent.

In this scenario, angle ZCXP is an alternate exterior angle with respect to angles ZRYD and ZSYD. Since angle ZRYD is congruent to angle ZSYD, angle ZCXP is also congruent to angle ZRYD.

Therefore, the correct answer is A. ZRYD.

The probabilities are given as follows:

a) Square: 1/6.

b) Not the triangle: 43/48.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The total area of the figure is given as follows:

12 x 8 = 96 units². (rectangle).

The area of the square is given as follows:

4² = 16 units² (square of the side lengths).

Hence the probability of the square is given as follows:

p = 16/96

p = 1/6.

The area of the triangle is given as follows:

A = 0.5 x 4 x 5 = 10 units². (half the multiplication of the side lengths).

Hence the complement of the area of the triangle is of:

96 - 10 = 86 units².

And the probability of the complement is of:

86/96 = 43/48.

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Answer:

s = 9 cm

p = 8s

p = 72 cm

Step-by-step explanation:

s = p ÷ 8

Where,

s = length of a side

p = perimeter of a regular octagon

find s when p = 72 cm

s = p ÷ 8

= 72 cm ÷ 8

= 9 cm

s = 9 cm

Formula for p in terms of a

s = p ÷ 8

Equivalent to

s = p/8

Cross product

s * 8 = p

p = 8s

Find p when s = 9 cm

p = 8s

p = 8 * 9 cm

= 72 cm

p = 72 cm

In question 10, given two angles are complementary angles that means the sum of both angles will be 90 degrees, such that

(x+16 )+ (3x +2) = 90

4x + 18 = 90

x = 18

In question 11, given two angles are supplementary angles that means the sum of both angles will be 180 degrees, such that:

84 + 3x = 180

3x = 96

x = 32

In question 12, given two angles are supplementary angles that means the sum of both angles will be 180 degrees, such that:

6x+ 3 + 87 = 180

6x = 90

x = 15

Similarly in question 12, both angles are the same thus,

4x+3 = 63

4x = 60

x = 15

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Step-by-step explanation:

here,

x°+15°=5x°-41°[being vertically opposite angle]

15°+41°=5x°-x°

56°=4x°

\( \frac{56 }{4x} \)

thus,x=14°

Answer:

x=14

SEE THE IMAGE FOR SOLUTION

Answer:

youre answer is here I hope it's right

x=24

Answer:

g

Step-by-step explanation:

its like 80 perent sure

a) When 44 is divided by 8, the quotient is the number of times 8 can be subtracted from 44 without going below zero.

44 divided by 8 gives a quotient of 5 with a remainder of 4. Therefore, the quotient is 5 and the remainder is 4.

b) When 777 is divided by 21, we find the quotient and remainder as follows:

777 divided by 21 gives a quotient of 37 with a remainder of 0. Therefore, the quotient is 37 and the remainder is 0.

c) When -123 is divided by 19, we find the quotient and remainder as follows:

-123 divided by 19 gives a quotient of -6 with a remainder of 9. Therefore, the quotient is -6 and the remainder is 9.

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The confidence interval for the independent-samples t-test is centered around the difference between the means. Confidence intervals indicate the range of values within which the true population value of a parameter is expected to fall with a specified probability.

As per the formula of the t-test, the difference between the sample means is taken as the estimate of the population means.The central concept of the t-test is the calculation of the difference between two means and an estimate of the variance of the difference. It is used when the sample sizes are small, and the population variance is unknown.

The independent-samples t-test is used to compare the means of two independent groups that may or may not have the same variance and is particularly useful when analyzing data from a randomized controlled trial or a natural experiment where groups are allocated randomly.

The confidence interval is constructed around the difference between the means and is used to determine whether the difference is statistically significant or not.In conclusion, the confidence interval for the independent-samples t-test is centered around the difference between the means, which is used to compare the means of two independent groups.

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Answer:

11

Step-by-step explanation:

The absolute value of any positive number is the number itself, so 11 has 11 as an absolute value. Also, the absolute value of a negative number is its (positive) opposite, so also has 11 as an absolute value.

Answer:

x=5  

Step-by-step explanation:

3 times 5= 15

15+21= 36

8 times 5 = 40

40-4=36

Answer:

y = x + -5

Step-by-step explanation:

Solution

To complete the equation, let's take two different points and plug their x- and y-coordinates into the equation. Then, we can solve for the question mark and see if we get the same number. I'll take (1, -4) and (2, -3):

(1, -4):

(2, -3):

Thus, the equation is y = x + (-5).

Answer:

The only option 2 which gives the same values for m=1 and m=4 in both the expressions. ∴ Option 2 is correct.

Answer:

2nd one is the correct answer

Step-by-step explanation:

Answer:

p=0.78837351631052428187102047390789

n=5

To determine whether the vector field F = (cos z, 2y^9, -x sin θ + c) is conservative, we can check if it satisfies the condition of having a curl of zero.

The curl of F is given by:

∇ × F = (∂Fz/∂y - ∂Fy/∂z, ∂Fx/∂z - ∂Fz/∂x, ∂Fy/∂x - ∂Fx/∂y)

Calculating the partial derivatives, we have:

∇ × F = (∂(cos z)/∂y - ∂(2y^9)/∂z, ∂(cos z)/∂z - ∂(-x sin θ + c)/∂x, ∂(2y^9)/∂x - ∂(cos z)/∂y)

Simplifying further:

∇ × F = (0 - 0, 0 - (-sin θ), 0 - 0)

      = (0, sin θ, 0)

The curl of F is not zero; specifically, it has a non-zero component in the y-direction (sin θ).

Therefore, the vector field F = (cos z, 2y^9, -x sin θ + c) is not conservative because its curl is non-zero.

Since F is not conservative, it does not have a general potential function.

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