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Kaylis [27]
2 years ago
7

What is the answer to this math problem??

Mathematics
1 answer:
lakkis [162]2 years ago
4 0

Answer:

A

Step-by-step explanation:

given \frac{1}{49^2}

note that 49² = 2401, hence

\frac{1}{49^2} = \frac{1}{2401} → A


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Write an equation in point slope form for the line on the graph
Yakvenalex [24]
Y=mx+b
y=-3/7x+2.5
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3 0
3 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
HELP ME PLEASE (no links)
slega [8]

Answer:

y = 1.5x

Step-by-step explanation:

We are to find the equation of the straight line

Using the coordinate (0, 0) and (200, 300)

Slope m = 300-0/200-0

m = 300/200

m = 1.5

Since the line pass through the origin, the y intercept is 0

Substitute m = 1.5 and b =0 into y = mx+b

y = 1.5x + 0

y = 1.5x

This gives the required equation

6 0
2 years ago
Thank you in advance!
Makovka662 [10]

Vertex: (-2,1)

Maximum or Minimum: The graph has minimum point and gives minimum value because the minimum point gives the least y-value. That's why it is called minimum.

End of behavior:

When x approaches positive infinity, f(x) will approach positive infinity.

When x approaches negative infinity, f(x) will approach positive infinity as well.

Why no solution:

The graph doesn't intercept any x-axis. Therefore the graph doesn't have any solutions.

y-intercept: (0,5)

describe shape of the graph:

The graph decreases when x<0 and increases when x>0.

x<0 is concave up but decreasing

x>0 is concave up but increasing

8 0
2 years ago
1. A windshield wiper blade is 18 in Long. Calculate the area covered by the blade as it rotates through an angle of 122 degrees
sveta [45]

1. Area of a circle is pi x R^2

Area = 3.14 x 18^2

Area = 3.14 x 324= 1017.36 sq. In.

The blade covers 122 out of 360 degrees.

1017.36 x 122/360 = 345 square inches.

2.

Like above.

Area =3.14 x 75^2 = 17,662.5 square feet

17662.5 x 80/360 = 3,925 square feet.

4 0
3 years ago
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