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2 years ago

Select the ordered pairs that satisfy the equation y=1/5x.Check all that apply.

Mathematics

2 answers:

vovikov84 [41]2 years ago

4 0

Answer: C, E, F

Step-by-step explanation:

Plug in the "x" and "y" values from the ordered pairs into the equation.
For A: 3 = $\frac{1(5)}{5}$ → 3 ≠ 1 → A is eliminated.
For B: 5 = $\frac{1(1)}{5}$ → 5 ≠ $\frac{1}{5}$ → B is eliminated.
For C: 2 = $\frac{1(10)}{5}$ → 2 = 2 → C satisfies the equation.
For D: 10 = $\frac{1(4)}{5}$ → 10 ≠ $\frac{4}{5}$ → D is eliminated.
For E: -1 = $\frac{1(-5)}{5}$ → -1 = -1 → E satisfies the equation.
For F: 3 = $\frac{1(15)}{5}$ → 3 = 3 → F satisfies the equation.
Therefore, C, E, and F are the answers.

nexus9112 [7]2 years ago

3 0

Answer:

C, E, and F

Step-by-step explanation:

Substitute each pair in for the variables and see which pairs are true.

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CAN SOMEONE PLEASE HELP ME ? SO DETERMINE IF THE PRODUCT OF 3 SQAURE ROOT 2 AND 8 SQUARE ROOT 18 IS RATIONAL OR IRRATIONAL. EXPL

Marta_Voda [28]

Oh ok so square root of 2 is irrational since it goes on and on. square root of 18 is an irrational number too

8 0

2 years ago

The thickness of a plastic film (in mils) on a substrate material is thought to be influenced by the temperature at which the co

statuscvo [17]

Answer:

Step-by-step explanation:

Hello!

The objective is to test if rising the process temperature reduces the thickness of the plastic film that coats a substrate material To do so, two samples of substrates are coated at different temperatures:

Sample 1

X₁: Thickness of the plastic film after the substrate is coated at 125F

n₁=11

X[bar]₁= 101.28

S₁= 5.08

Sample 2

X₂: Thickness of the plastic film after the substrate is coated at 150F

n₂= 13

X[bar]₂= 101.70

S₂= 20.15

Does the data support this claim? Use the P-value approach and assume that the two population standard deviations are not equal.

Now if the higher the heat, the thinner the thickness of the plastic coating, then the average thickness of the coating done at 150F should be less than the average thickness of the coating done at 125F, symbolically: μ₂ < μ₁

Then the hypotheses are:

H₀: μ₂ ≥ μ₁

H₁: μ₂ < μ₁

α:0.05 (there is no α level stated so I've chosen the most common one)

Assuming that both variables have a normal distribution since the population standard deviations are not equal, the statistic to use is the Welch's t-test:

$t= \frac{(X[bar]_2-X[bar]_1)-(Mu_1-Mu_2)}{\sqrt{\frac{S^2_1}{n_1} +\frac{S^2_2}{n_2} } } ~~t_w$

$t_{H_0}= \frac{(101.7-101.28)-0}{\sqrt{\frac{(20.15)^2}{13} +\frac{(5.08)^2}{11} } } = 0.072$

This test is one-tailed to the left, meaning that you'll reject the null hypothesis at small values of t. The p-value is also one-tailed and has the same direction as the test. To calculate it you have to first calculate the degrees of freedom of the Welch's t:

$Df_w= \frac{(\frac{S^2_1}{n_1} +\frac{S^2_2}{n_2} )^2}{\frac{(\frac{S^2_1}{n_1})^2 }{n_1-1}+\frac{(\frac{S^2_2}{n_2} )^2}{n_2-1} }$

$Df_w= \frac{(\frac{5.08^2}{11} +\frac{20.15^2}{13} )^2}{\frac{(\frac{5.08^2}{11})^2 }{10} +\frac{(\frac{20.15^2}{13} )^2}{12} } = 13.78$

The distribution is a Student's t with 13 degrees of freedom, then you can calculate the p-value as:

P(t₁₃≤0.072)= 0.4718

Using the p-value approach, the decision rule is:

If the p-value ≤ α, the decision is to reject the null hypothesis.

If the p-value > α, the decision is to not reject the null hypothesis.

The p-value is greater than the significance level, so the decision is to nor reject the null hypothesis.

Using a significance level of 5%, there is no significant evidence to support the claim that the average thickness pf the plastic coat processed at 150F is less than the average thickness pf the plastic coat processed at 125F.

I hope you have a SUPER day!

4 0

3 years ago

Find the coordinates of a point that divides the directed line segment PQ in the ratio 5:3. A) (2, 2) B) (4, 1) C) (–6, 6) D) (4

Yuri [45]

Answer:

The answer is explained below

Step-by-step explanation:

The question is not complete we need point P and point Q.

let us assume P is at (3,1) and Q is at (-2,4)

To find the coordinate of the point that divides a line segment PQ with point P at $(x_1,y_1)$ and point Q at $(x_2,y_2)$ in the proportion a:b, we use the formula: