What is the midpoint m given q(-2, -4) and R(6, 10)

The mean annual income of certified welders is normally distributed with a mean of $50,000 and a population standard deviation o

Bogdan [553]

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

|z| < 1.645: do not reject the null hypothesis.

|z| > 1.645: reject the null hypothesis.

<h3>What is the relation between the p-value and the test hypothesis?</h3>

Depends on if the p-value is less or more than the significance level:

If it is more, the null hypothesis is not rejected.

If it is less, it is rejected.

In this problem, we have a two-tailed test, as we are testing if the mean is different of a value. For a significance level of 0.1, the critical value of z(when a p-value of 0.1 is obtained) is of |z| = 1.645, hence the decision rule is:

|z| < 1.645: do not reject the null hypothesis.

|z| > 1.645: reject the null hypothesis.

More can be learned about p-values at brainly.com/question/13873630

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5 0

2 years ago

What is the value of x? Round to the nearest hundredth.

jeyben [28]

Answer:

The correct answer is first option

X = 34.61

Step-by-step explanation:

<u>Points to remember</u>

<u>Trigonometric ratios</u>

Sin θ = Opposite side/Hypotenuse

Cos θ = Adjacent side/Hypotenuse

Tan θ = Opposite side/Adjacent side

From the figure we can see that a right angled triangle with base x and hypotenuse = 81.9.

One angle = 65°

To find the value of x

We have Cos θ = Adjacent side/Hypotenuse

Cos 65 = X/81.9

X = 81.9 * Cos 65

= 81.9 * 0.4226

= 34.61

Therefore X = 34.61

The correct answer is first option

3 0

3 years ago

Read 2 more answers

Finding an Equation of a Tangent Line In Exercise, find an equation of the tangent line to the graph of the function at the give

Doss [256]

Answer:

$y=3x-3$

Step-by-step explanation:

We are given that

$y=ln x^3$

Point (1,0)

We have to find the equation of tangent line to the given graph.

Differentiate w.r.t x

$\frac{dy}{dx}=\frac{1}{x^3}\times 3x^2}=\frac{3}{x}$

$\frac{d(lnx)}{dx}=\frac{1}{x}$

Substitute x=1

$m=\frac{dy}{dx}=3$

Slope-point form:

$y-y_1=m(x-x_1)$

$x_1=1,y_1=0$

By using this formula

The equation of tangent to the given graph

$y-0=3(x-1)=3x-3$

$y=3x-3$

8 0

4 years ago

A randomly selected sample of 100 students had an average grade point average (GPA) of 3.2 with a standard deviation of 0.2.

alexdok [17]

Answer:

A. 0.020

Step-by-step explanation:

we calculate the standard error of the sample mean with the formula,

$E=\frac{s}{\sqrt{n} }$ ,

with E= standard error of the sample mean

s= standard deviation

n= sample

So,

s= 0.2

n= 100

$E=\frac{0.2}{\sqrt{100} } =\frac{0.2}{10}=0.02$

5 0

4 years ago

In an

Usimov [2.4K]

Answer:

8 games in a row

Step-by-step explanation:

If they win 8 games in a row, there winning percentage will be 20/33, which is equal to about 60%.

3 0

3 years ago