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Eddi Din [679]
3 years ago
5

Pls help me!! Which two equations are equivalent? y= 1/2x+3 y=x+6 2y=x+6

Mathematics
2 answers:
tia_tia [17]3 years ago
5 0

Answer:

the first and last equation

Step-by-step explanation:

Zigmanuir [339]3 years ago
4 0

Answer:

first and third

Step-by-step explanation:

Consider

y = \frac{1}{2} x + 3 ( multiply through by 2 )

2y = x + 6 ← third equation

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Students in Mr. Eaton’s class must choose a person from a list of 30 people and then write an essay about that person. The list
padilas [110]

Answer:

3/10 or 30%

Step-by-step explanation:

the probability of a...

writer = 13/30

painter = 9/30 or 3/10

musician = 6/30 or 1/5

photographers = 2/30 or 1/15

7 0
2 years ago
The mean throwing distance of a football for a Marco, a high school freshman quarterback, is 40 yards, with a standard deviation
Phoenix [80]

Answer:

a) One-tailed t-test about a mean.

b) The null hypothesis would be that there is no significant evidence to conclude that the adjusted grip leads to more distance on the thrown ball.

While the alternative hypothesis is that there is significant evidence to conclude that the adjusted grip leads to more distance on the thrown ball.

Mathematically,

The null hypothesis is represented as

H₀: μ ≤ 40 yards

The alternative hypothesis is given as

Hₐ: μ > 40 yards

c) p-value = 0.00621

d) The graph is presented in the attached image. The p-value obtained is less than the significance level at which the test was performed, hence, we accept the alternative hypothesis and say that there is significant evidence to conclude that the adjusted grip leads to more distance on the thrown ball.

Step-by-step explanation:

a) This test checks if the adjusted grip leads to more distance than before on the ball throws.

So, it is a one tailed test (testing only in one direction), a t-test about a mean.

b) For hypothesis testing, the first thing to define is the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

Since this question aims to test if adjusting the grip leads to more distance on the ball thrown.

The null hypothesis would be that there is no significant evidence to conclude that the adjusted grip leads to more distance on the thrown ball. That is, The adjusted grip leads to a distance lesser than or equal to the previous distance on the thrown ball.

While the alternative hypothesis is that there is significant evidence to conclude that the adjusted grip leads to more distance on the thrown ball.

Mathematically,

The null hypothesis is represented as

H₀: μ ≤ 40 yards

The alternative hypothesis is given as

Hₐ: μ > 40 yards

c) To do this test, we will use the z-distribution because there is information on the population standard deviation.

So, we compute the test statistic

z = (x - μ₀)/σ

x = 45 yards

μ₀ = 40 yards

σ = standard deviation = 2 yards

z = (45 - 40)/2 = 2.50

The p-value for a one-tailed test for z-test statistic of 2.50 is 0.00621

d) The sketch of the graph is presented in the attached image.

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.00621

0.00621 < 0.05

Hence,

p-value < significance level

This means that we reject the null hypothesis & accept the alternative hypothesis and say that there is enough evidence to conclude that the adjusted grip leads to more distance on the thrown ball.

Hope this Helps!!!

5 0
3 years ago
Make 54/2 to a mixed numbers
Burka [1]

Answer: 27

Step-by-step explanation:  Look below for an attached explanation.

Hope this helps!

4 0
3 years ago
Higher Order Thinking What is the<br>least multiple 6 and 8 have in common?<br>Explain.​
Dahasolnce [82]

Answer: 24

Step-by-step explanation:

6, 12, 18, 24

8, 16, 24

3 0
3 years ago
Read 2 more answers
Given: ABC is similar to XYC. If BY = 6, YC = 10, AX = 18, then XC = 10.8 5 30 48
Sidana [21]

Answer:

The correct option is 3. The length of XC is 30.

Step-by-step explanation:

It is given that triangle ABC and triangle XYC are similar.

According to the properties of similar triangles, then corresponding sides of similar triangles are congruent.

In triangle ABC and triangle XYC,

\frac{AB}{XY}=\frac{BC}{YC}=\frac{AC}{XC}

Let the length of XC be x.

From the below figure it is notices that

AC=AX+XC=18+x

BC=BY+YC=6+10=16

\frac{16}{10}=\frac{18+x}{x}

16x=180+10x

6x=180

x=30

Therefore correct option is 3. The length of XC is 30.

3 0
2 years ago
Read 2 more answers
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