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3 years ago

The standard normal distribution has a mean of and a standard deviation of

Mathematics

1 answer:

Anna007 [38]3 years ago

3 0

The standard normal distribution has a mean of 0 and a standard deviation of 1

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A true/false test has 40 questions. Suppose a passing grade is 30 or more correct answers. Test the claim that a student knows m

Angelina_Jolie [31]

Answer:

z≈3.16

p≈0.001

we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.

Step-by-step explanation:

As a result of step 2, we can assume normal distribution for the null hypothesis

z statistic is computed as follows:

z= $\frac{X-M}{\frac{\sqrt{p*(1-p)} }{\sqrt{N} } }$ where

X is the proportion of correct answers in the test ( $\frac{30}{40}$ )
M is the expected proportion of correct answers according to the null hypothesis (0.5)

p is the probability of correct answer (0.5)
N is the total number of questions in the test (40)

z= $\frac{0.75-0.50}{\frac{\sqrt{0.5*(0.5)} }{\sqrt{40} } }$ ≈ 3.16

And corresponding p value for the z-statistic is p≈0.001.

Since p<0.05, we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.

7 0

3 years ago

Anyone know how to do these?

erastovalidia [21]

Answer:

B. 1/m¹⁸

Step-by-step explanation:

To simplify the equation, we start with the values inside the brackets.

Therefore m⁻¹m⁵ results to m⁴.

This is because the sign between the m⁻¹ and m⁵ is multiplication, and when multiplying figures that have a similar base, we add the indices.

that is, -1+5=4

then we divide m⁴ by m⁻², that is, m⁴/m⁻²=m⁶

To divide figures that have the same base we subtract the powers.

That is, 4-(-2)=6

the resulting expression from inside the brackets will be (m⁶)³ which results to m⁻¹⁸ which is the same as 1/m¹⁸

3 0

3 years ago

Read 2 more answers

David is driving on the highway. He begins the trip with 14 gallons of gas in his car. The car uses up one gallon of gas every 2

ehidna [41]

Answer:

$G = -D/20 + 14$

Graph in the image attached.

Step-by-step explanation:

Using the model of a linear equation, we have:

$G = aD + b$

'b' is the y-intercept of the equation, that is, the inicial value of G, when D = 0.

So if David starts the trip with 14 gallons of gas, we have b = 14.

'a' is the slope of the line, that is, an increase of 1 in the value of D causes an increase of 'a' in the value of G.

So if the car uses one gallon every 20 miles, the value of a is -1/20 (an increase of 20 in D causes a decrease of 1 in G).]

So our equation is:

$G = -D/20 + 14$

The graph of this equation is in the image attached.

4 0

3 years ago

Ma Bernier has 52 cats and dogs in her house the number of cats is three times the number of dogs how many cats and dogs are in

frosja888 [35]

Answer:

dogs - 13

cats - 39

Step-by-step explanation:

Let the number of dogs Ma Bernier have be represented with d

She has 3 times as many cats as dogs, the number of cats she has :

cats = 3d

The sum of the cats and dogs is 52

d + 3d = 52

4d = 52

divide both sides of the equation by 4

d = 13

She has 13 dogs

Cats = 3d

= 3 x 13 = 39

3 0

3 years ago

1and1/4 x 1and1/4 equals what

Angelina_Jolie [31]

Answer:

1/2

Step-by-step explanation:

8 0

3 years ago