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3 years ago

An AP Statistics teacher grades using z-scores. On the second major exam of the

Mathematics

1 answer:

inna [77]3 years ago

4 0

Answer:

E. The student scored 1.3 standard deviations lower on the second exam than the class average on the second exam.

Step-by-step explanation:

Whenever we have a negative z-score, this means that the raw score is a certain standard deviation below the mean average.

From the above question, we are told that:

An AP Statistics teacher grades using z-scores. On the second major exam of the grading period, a student receives a grade with a z-score of -1.3.

This means the students score in the second major exam is 1.3 standard deviations below the average score in the second major exam.

Hence, according to the options given in the above question, the correct interpretation of this grade is

The student scored 1.3 standard deviations lower on the second exam than the class average on the second exam.

Option E is the correct option.

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Ty raised $84 to support the animal shelter, which is 30% of his fundraising goal. What is Ty's fundraising goal?

Olegator [25]

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7 0

3 years ago

Read 2 more answers

Please help mee

Bess [88]

Answer:

$47,616

Step-by-step explanation:

49,600 x .04 = 1984

49,600- 1984 = $47,616

5 0

3 years ago

If 60% of a number is 144 what is the number?

Sonja [21]

Answer:

240

Step-by-step explanation:

So 60/100 x (n) = 144

We should be able to multiple both sides by 100, and divide each side by 60 to get our answer.

n = 144 x (100/60) which then equals 240.

8 0

3 years ago

Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour. Jeff knows that 1 cup of that

Sedaia [141]

Answer:

Jeff went over by 53.33 grams or $53\frac{1}{3}$ grams.

Step-by-step explanation:

Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour.

Jeff knows that 1 cup of that particular vanilla powder has a mass of 128 grams.

He added $\frac{2}{3}$ of a cup of vanilla powder to the flour.

So, he added a mass of $\frac{2}{3} \times128= 85.33$ grams of vanilla.

As the recipe says, it needs 32 grams of vanilla so Jeff went over by $85.33-32=53.33$ grams.

Jeff went over by 53.33 grams or $53\frac{1}{3}$ grams.

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3 years ago

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2/3 + y2/3 = 4 (−3 3 , 1)

vovikov84 [41]

Answer with Step-by-step explanation:

We are given that an equation of curve

$x^{\frac{2}{3}}+y^{\frac{2}{3}}=4$

We have to find the equation of tangent line to the given curve at point $(-3\sqrt3,1)$

By using implicit differentiation, differentiate w.r.t x

$\frac{2}{3}x^{-\frac{1}{3}}+\frac{2}{3}y^{-\frac{1}{3}}\frac{dy}{dx}=0$

Using formula : $\frac{dx^n}{dx}=nx^{n-1}$

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

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

$\frac{dy}{dx}=-\frac{x^{-\frac{1}{3}}}{y^{-\frac{1}{3}}}$

Substitute the value x= $-3\sqrt3,y=1$

Then, we get

$\frac{dy}{dx}=-\frac{(-3\sqrt3)^{-\frac{1}{3}}}{1}$

$\frac{dy}{dx}=-(-3^{\frac{3}{2}})^{-\frac{1}{3}}=-\frac{1}{-(3)^{\frac{3}{2}\times \frac{1}{3}}}=\frac{1}{\sqrt3}$

Slope of tangent=m= $\frac{1}{\sqrt3}$

Equation of tangent line with slope m and passing through the point $(x_1,y_1)$ is given by

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

Substitute the values then we get

The equation of tangent line is given by

$y-1=\frac{1}{\sqrt3}(x+3\sqrt3)$

$y-1=\frac{x}{\sqrt3}+3$

$y=\frac{x}{\sqrt3}+3+1$

$y=\frac{x}{\sqrt3}+4$

This is required equation of tangent line to the given curve at given point.

8 0

3 years ago