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4 years ago

71, X

Mathematics

1 answer:

IRISSAK [1]4 years ago

3 0

It could represent Range or domain

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If y varies directly with x and y is -6 when x is 2, what is x when y is -22?

zubka84 [21]

Answer:

x = $\frac{22}{3}$

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = - 6 when x = 2, then

- 6 = 2k ( divide both sides by 2 )

- 3 = k

y = - 3x ← equation of variation

When y = - 22, then

- 22 = - 3x ( divide both sides by - 3 )

x = $\frac{-22}{-3}$ = $\frac{22}{3}$

8 0

3 years ago

Using a 5% level of significance and a sample size of 25, what is the critical t value for a null hypothesis, H0: µ ≤ 100? Selec

nadezda [96]

Answer:

D. 2.064

Step-by-step explanation:

Number of sample (n) = 25, degree of freedom = n - 1 = 25 - 1 = 24, significance level = 0.05

The critical t value corresponding to 24 degrees of freedom and 0.05 significance level is 2.064

4 0

3 years ago

Read 2 more answers

On Saturday, a local hamburger shop sold a combined total of 312 hamburgers and cheeseburgers. The number of cheeseburgers sold

Elanso [62]

The answer is 156 hamburgers

6 0

4 years ago

find the ordered pairs for the x- and y-intercepts of the equation 5x − 6y = 30 and select the appropriate option below. a. the

Hoochie [10]

$5x-6y=30\ \ \ \ |subtract\ 5x\ from\ both\ sides\\\\-6y=-5x+30\ \ \ \ |divide\ both\ sides\ by\ (-6)\\\\y=\frac{5}{6}x-5\\\\x-intercept\ if\ y=0\\subtitute\\\\\frac{5}{6}x-5=0\ \ \ |add\ 5\ to\ both\ sides\\\\\frac{5}{6}x=5\ \ \ \ |\cdot\ \frac{6}{5}\\\\\fbox{x=6}\\\\y-intercept\\subtitute\\\\y=\frac{5}{6}\cdot0-5\\\\\fbox{y=-5} \\\\Answer:\boxed{x-intercept\ (6;\ 0);\ y-intercept\ (0; -5)}\to\fbox{A.}$

8 0

3 years ago

Micah is buying items for a party. There are 6 cups in a package and 8 plates in a package.If he wants to have the same amount o

densk [106]

Answer: 24

Step-by-step explanation:

From the question, we are informed that Micah is buying items for a party and that there are 6 cups in a package and 8 plates in a package.

We are further told that he wants to have the same amount of each item. The least number of packages of cups he needs to buy would be calculated by finding the least common multiple of 6 and 8.

Multiples of 6 = 6, 12 18, 24, 30

Multiples of 8 = 8, 16, 24, 32, 40

The answer is 24 cups

5 0

3 years ago