Which of the following theorems verifies that triangle STU is congruent to triangle XYZ

Answer is Rachel worked 3 2/3 hours

Step by step

Dominic worked 2 3/4 hours

Rachel worked (1 1/3) times (2 3/4)

1 1/3 x 2 3/4. Change into an improper fraction

4/3 x 11/4. multiply across

44/12

Simplify

= 3 2/3

6 0

1 year ago

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.5 parts

DochEvi [55]

Answer:

We accept H₀ with the information we have, we can say level of ozone is under the major limit

Step-by-step explanation:

Normal Distribution

population mean = μ₀ = 7.5 ppm

Sample size n = 16 df = n - 1 df = 15

Sample mean = μ = 7.8 ppm

Sample standard deviation = s = 0.8

We want to find out if ozono level, is above normal level that is bigger than 7.5

1.- Hypothesis Test

null hypothesis H₀ μ₀ = 7.5

alternative hypothesis Hₐ μ₀ > 7.5

2.-Significance level α = 0.01 we will develop one tail-test (right)

then for df = 15 and α = 0,01 from t -student table we get

t(c) = 2.624

3.-Compute t(s)

t(s) = ( μ - μ₀ ) / s /√n ⇒ t(s) = ( 7.8 - 7.5 )*4/0.8

t(s) = 0.3*4/0.8

t(s) = 1.5

4.-Compare t(s) and t(c)

t(s) < t(c) 1.5 < 2.64

Then t(s) is inside the acceptance region. We accept H₀

7 0

3 years ago

20 points

djverab [1.8K]

Answer:

To solve the system below by substitution, replace y in the second equation with 7−6x.

==> False

This statement is false. To solve the system by substitution, replace x in the second equation with 7−6x.

==> False.

This statement is false. To solve the system by substitution, replace y in the first equation with 7−6x.

==> False

This statement is false. To solve the system by substitution, replace y in the second equation with 6x−7.

==> True.

From the first equation, 6x-y=7

y= 6x-7

7 0

3 years ago