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Artyom0805 [142]
2 years ago
9

College freshmen took a psychology exam. If the mean is 80, the SD is 10, and the scores have normal distribution, what percent

of students failed the test (grade<0)?
2%
34%
14%
48%
Mathematics
1 answer:
gayaneshka [121]2 years ago
6 0

Answer:

  (a)  2%

Step-by-step explanation:

A score of 60 is 2 standard deviations below the mean (80 -2·10 = 60). The empirical rule tells you that 95% of the distribution is within 2 standard deviations of the mean. The remaining 5% is split evenly between those that are more than 2 SD above the mean and those that are more than 2 SD below the mean.

That tells you the percentage who failed is about 2.5%. The best answer choice is 2%.

_____

<em>Additional comment</em>

The empirical rule is a little bit sloppy, but it gets you in the ballpark. The actual percentage is closer to 2.275%.

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A bride and groom both invited guests to their wedding. The bride invited twice as many women as the groom did, and the groom in
n200080 [17]

Answer:

option 1) 50

Step-by-step explanation:

Let m and w denote the men and women respectively.

From the question, if the groom invited w number of women, then bride invited 2w number of women.

Also, if the bride invited m number of men,then the groom invited 2m.

Hence we can write the following maths equation:

w+2m=105.........1

2w+m=135.........2

We multiply eqn(1) by 2 to get eqn(3)

This implies that,

2w+4m=210.......3

We then subtract eqn (2) from eqn(3) to obtain;

3m=75

we divide through by 3

\implies \frac{3m}{3} = 75

\implies m= 25

Substituting the value of m into eqn (1)

to find the value for w

\implies w + 50 = 105

subtracting 50 from both sides.

\implies w + 50  - 50= 105 - 50

\implies w+2(25)=105

\implies w= 55

So we can say the :

bride invited 25 men and 110 women,

groom invited 50 men and 55 women.

6 0
3 years ago
Anne takes a rectangular piece of fabric and cuts from one corner to the opposite corner. If the piece of fabric is 15 inches lo
Alekssandra [29.7K]

\sqrt{5^2+18^2}=

\sqrt{349}=

18.68154...

5 0
2 years ago
EMERGENCY!!!
tankabanditka [31]

Answer:bc you asked her do she got dat wap

Step-by-step explanation:but dam

5 0
2 years ago
Read 2 more answers
Pls help With this question thank you
Lapatulllka [165]

Answer:

CD=4 \text{ cm }

Step-by-step explanation:

We have a similarity of triangles. Once the side BC and ED are parallel,

$\frac{BC}{AC} =\frac{ED}{AD} $

$\frac{10}{AC} =\frac{5}{4} $

Once AC=AD+CD \Rightarrow AC=4+CD

$\frac{10}{4+CD} =\frac{5}{4} $

5CD+20=40

5CD=20

CD=4 \text{ cm }

6 0
3 years ago
Give me a correct answer, My answer probably wrong.
Georgia [21]

Hello!

This is a problem about the general solution of a differential equation.

What we can first do here is separate the variables so that we have the same variable for each side (ex. dy with the y term and dx with the x term).

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

3y^2dy=x-1dx

Then, we can integrate using the power rule to get rid of the differentiating terms, remember to add the constant of integration, C, to at least one side of the resulting equation.

y^3=\frac{1}{2}x^2-x+C

Then here, we just solve for y and we have our general solution.

y=\sqrt[3]{\frac{1}{2}x^2-x+C}

We can see that answer choice D has an equivalent equation, so answer choice D is the correct answer.

Hope this helps!

3 0
2 years ago
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