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Lilit [14]
3 years ago
5

HELP ASAP 20 points Question 12 Multiple Choice Worth 1 points)

Mathematics
1 answer:
ryzh [129]3 years ago
4 0

Answer:

<h2>x = 61.6°</h2>

Step-by-step explanation:

To find the angle of depression we use cosine

cos∅ = adjacent / hypotenuse

37.4 is the hypotenuse

17.8 is the adjacent

\cos(x)  =  \frac{17.8}{37.4}  \\  \\ x =   { \cos( }^{ - 1}  \frac{17.8}{37.4} ) \\  \\ x = 61.6

Hope this helps you

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An art history professor assigns letter grades on a test according to the following scheme. A: Top 13% of scores B: Scores below
madam [21]

Answer:

The numerical limits for a B grade are 81 and 89, that is, a score between 81 and 89 gets a B grade.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Scores on the test are normally distributed with a mean of 79.7 and a standard deviation of 8.4.

This means that \mu = 79.7, \sigma = 8.4

B: Scores below the top 13% and above the bottom 56%

So between the 56th percentile and the 100 - 13 = 87th percentile.

56th percentile:

X when Z has a p-value of 0.56, so X when Z = 0.15. Then

Z = \frac{X - \mu}{\sigma}

0.15 = \frac{X - 79.7}{8.4}

X - 79.7 = 0.15*8.4

X = 81

87th percentile:

X when Z has a p-value of 0.87, so X when Z = 1.13.

Z = \frac{X - \mu}{\sigma}

1.13 = \frac{X - 79.7}{8.4}

X - 79.7 = 1.13*8.4

X = 89

The numerical limits for a B grade are 81 and 89, that is, a score between 81 and 89 gets a B grade.

4 0
3 years ago
There are s swimmers in the swimming club. The club bought 15 swimming caps to split among its members. Write an expression that
vivado [14]

Answer:

15/s

Step-by-step explanation:

15 caps ÷ s = 15/s caps per swimmer

6 0
3 years ago
PLEASE ANWSER ASAPPPPLL I NEED IT QUICK PLS SHAWTY
Marianna [84]

Answer:

c

Step-by-step explanation:

3 and 3/7 ok hope it helps

5 0
3 years ago
Read 2 more answers
I need help with these questions!!<br> 25 points!!!!<br> That’s what I have
Troyanec [42]

Answer:

7. D

8. A

9. D

10. B

11 A)  640 = 0.8j

11 B)   \frac{0.8j}{1.15}

Step-by-step explanation:

7.

Let Emmet work for "m" minutes

Since, Cal worked 4times as this, we can say Cal worked for "4m" minutes

Now, the total time (CAL + EMMET) is 720, so we SUM UP their individual times' expression and equate to 720. Shown below:

4m + m = 720

This is Answer choice D

8.

Let s be the price of each shirt

Each shirt costs "s" each, so 4 shirts cost "4s" in total.

4 shirts costs 60 AFTER 10 dollar discount, so before discount, it was:

60 + 10 = 70 dollars

Hence, 4 shirts cost 70 dollars BEFORE discount, so we can say:

4s = 70

But none of the choices are this, we need to simply manipulate this equation to get our answer (from choices).

<em>How did we get 70? We added 60 and 10. So we can put "60" on the right hand side and "-10" on the left hand side to get:</em>

<em>4s - 10 = 60</em>

<em />

<em>This is ultimatley 4s = 70</em>

<em>So the correct answer choice is A</em>

9.

Let Tony's age be "y"

We know grandmother is "3 years MORE than 6 times TONY (y)", thus we can write:

Grandmother is "6y + 3"

Total sum of them both is 87. Thus we can SUM both these expressions and equate to 87. Thus,

y + 6y + 3 = 87

D is the correct choice.

10.

THe total length is "f"

Each piece cut is 3/4

So the number of pieces is the total by each piece, so that is

\frac{f}{\frac{3}{4}}

All these "number of pieces" makes 6 shelves (since he used all), so we equate this expression to "6".   Now we have:

\frac{f}{\frac{3}{4}}=6

That is answer choice B

11 A)

Let Jocelyn's computer's price be "j",

Adrian's is 640, which is 20% LESS THAN Jocelyn's (j), so we can say:

640 is 20% less than "j"

or

"20% less than j" would be:

j - 0.2j = 0.8j

Now, we can write:

640 = 0.8j

11 B)

We can say:

Adrian is 15% more than Corbin

or

A = 0.15C + C

A = 1.15C

[note: let adrian's computer price be A and Corbin's computer price be C]

Also we know

0.8j = Adrian

We can put this in to get:

A = 1.15C

C = A/1.15

C = 0.8j/1.15

THis is an expression for Corbin's computer price in terms of j:

\frac{0.8j}{1.15}

5 0
3 years ago
A Baker made 2 batches of chocolate chip cookies in it . Then he mad and additional 5 oatmeal cookies just in case someone did n
lyudmila [28]

Answer: 29 cookies

Step-by-step explanation:

Judging that a "batch" is a dozen which is 12 then...

12 + 12 + 5 = 29

Hope this helps!!! Good luck!!! ;)

4 0
3 years ago
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