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2 years ago

What are the ranges of this relation?

Mathematics

1 answer:

ryzh [129]2 years ago

3 0

Answer:

The range of a relation is the set of the second coordinates from the ordered pairs.

Step-by-step explanation:

The range of a relation from A to B is a subset of B. For Example: If A = {2, 4, 6, 8) B = {5, 7, 1, 9}. Let R be the relation 'is less than' from A to B.

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Jenna and todd are running for president of a school club. The candidates for vice president are todd,annie, and luis. Because t

almond37 [142]

Answer:

B. P VP Jenna Todd Jenna Annie Jenna Luis Todd Luis Todd Annie

Step-by-step explanation:

CHECK THE COMPLETE QUESTION AND OPTIONS BELOW;

Jenna and Todd are running for president of a school club. The candidates for vice president are Todd, Annie, and Luis. Because Todd is running for both positions, he can't be elected vice president if he is elected president. Which list shows all the possible outcomes for president (P) and vice president (VP)? Answer options with 4 options A. P VP Jenna Annie Jenna Luis Todd Annie Todd Luis C. P VP Jenna Todd Jenna Annie Jenna Luis B. P VP Jenna Todd Jenna Annie Jenna Luis Todd Annie Todd Luis D. P VP Jenna Annie Jenna Luis Todd Jenna Todd Annie Todd Luis

From the question, Candidates that are running to be a president are;(Jenna and Todd)

Candidates that are running to become vice president are; (Todd, Annie, and Luis)

✓ Todd can only be elected as president or as vice president, if he is elected as president then he cannot be elected as vice president.

The list that shows all the possible outcome is

1)Vice president: Todd and President: Jenna

2)Vice president: Annie and President: Jenna

3)Vice president: Luiz and President: Jenna

4)Vice president: Annie and President: Todd

5)Vice president: Luiz and President: Todd

Hence, option B gives the correct answer.

5 0

3 years ago

B ∩ U A = U(B ∩ A).

NARA [144]

Are those emojis or no

5 0

3 years ago

A study is performed in San Antonio to determine whether the average weekly grocery bill per five-person family in the town is s

bogdanovich [222]

Answer:

No, the sample evidence is not statistically significant (P-value = 0.125).

To reject the null hypothesis, the P-value has to be smaller than the significance level, so the significance level to reject the null hypothesis has to be 0.125 or higher.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average weekly grocery bill per five-person family in San Antonio is significantly different from the national average.

Then, the null and alternative hypothesis are:

$H_0: \mu=131\\\\H_a:\mu\neq 131$

The significance level is 0.05.

The sample has a size n=50.

The sample mean is M=133.474.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=11.193.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{11.193}{\sqrt{50}}=1.583$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{133.474-131}{1.583}=\dfrac{2.474}{1.583}=1.563$

The degrees of freedom for this sample size are:

$df=n-1=50-1=49$

This test is a two-tailed test, with 49 degrees of freedom and t=1.563, so the P-value for this test is calculated as (using a t-table):

$P-value=2\cdot P(t>1.563)=0.125$

As the P-value (0.125) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the average weekly grocery bill per five-person family in San Antonio is significantly different from the national average.

8 0

3 years ago

Match each quadratic equation with the best way to solve it.

Blizzard [7]

Answer:

5x^2 + 12x -3 =0 ---------> solve by quadratic formula

x^2 -4x = 8 ----------> solve by completing the square

4x^2 -25 = 0 ----------> solve by square root method

x^2-5x+ 6 = 0 -----------> solve by factoring

Step-by-step explanation:

1. 5x^2 + 12x -3 =0

The best way to solve this equation is quadratic formula as all the terms in the equation have coefficients it will be convenient to solve it through quadratic formula.

2. x^2 -4x = 8

The best way to solve this equation is by completing the square as the factors cannot be made directly.

3. 4x^2 -25 = 0

the best way to solve this equation is to solve by square root method as the 25 and 4 are perfect squares.

4. x^2-5x+ 6 = 0

The best way to solve this equation is to solve by factoring as it can clearly be seen that it is convenient to make factors ..

7 0

3 years ago

The price of a bag of candy is a linear function of the amount of candy in the bag. A bag containing 25 pieces costs $0.99 and a

OlgaM077 [116]

Answer:

About 152 pieces of candy

Step-by-step explanation:

Set up equal proportions to solve for the $5.99 bag.

We know that 24 pieces = .99, so

$\frac{25 pieces}{.99 dollars} = \frac{x pieces}{5.99 dollars}$

Make sure to keep the pieces on top, and the dollars on bottom (or vice versa). If your units are messed up, it will not work.

Cross-multiply.

25(5.99) = .99x

Simplify.

149.75 = .99x

Divide both sides by .99.

x = 151.26 = about 151 pieces of candy

7 0

3 years ago