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schepotkina [342]
3 years ago
12

Derek's score on a test was 90 percent. He had 72 questions right. How many problems were on the test?

Mathematics
1 answer:
romanna [79]3 years ago
6 0

90% = 72 questions


\\Find 1%

1 % = 72 ÷ 90 = 0.8


\\Find 100%

100% = 0.8 x 100 = 80 questions


Answer: There were 80 questions

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Serhud [2]

In conditional statements, "If p then q" is denoted symbolically by "p q"; p is called the hypothesis and q is called the conclusion. For instance, consider the two following statements: If Sally passes the exam, then she will get the job. If 144 is divisible by 12, 144 is divisible by 3.

8 0
2 years ago
The mean student loan debt for college graduates in Illinois is $30000 with a standard deviation of $9000. Suppose a random samp
Nataly [62]

Answer:

the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

Step-by-step explanation:

Given that:

Mean = 30000

Standard deviation = 9000

sample size = 100

The probability that the mean student loan debt for these people is between $31000 and $33000 can be computed as:

P(31000 < X < 33000) = P( X \leq 33000) - P (X \leq 31000)

P(31000 < X < 33000) = P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )- P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )

P(31000 < X < 33000) = P( Z \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )- P(Z \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )

P(31000 < X < 33000) = P( Z \leq \dfrac{3000}{\dfrac{9000}{10}}}) -P(Z \leq \dfrac{1000}{\dfrac{9000}{10}}})

P(31000 < X < 33000) = P( Z \leq 3.33)-P(Z \leq 1.11})

From Z tables:

P(31000 < X

P(31000 < X

Therefore; the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

8 0
3 years ago
I will give you Brainiest if you are right.
timofeeve [1]

Answer:

D

Step-by-step explanation:

2(3x + 5) =

2 x 3x + 2 x 5 =

6x + 10

<em>Hope that helps! :)</em>

<em></em>

<em>-Aphrodite</em>

3 0
3 years ago
Read 2 more answers
I need help SHOW YOUR WORK
earnstyle [38]

Answer:

F)\displaystyle \:  100\pi{ x}^{8} {y}^{2}  {z}^{ 6}

Step-by-step explanation:

we are given r and the formula

we want to find the surface area of the shpare with the given r

to do so

we need our algebra skills

substitute the value of r:

\displaystyle \: S = 4\pi( {5x}^{4} y {z}^{ 3} {)}^{2}

recall law of exponent

\displaystyle \:  ({x}^{m}  {)}^{n}  \iff \:  {x}^{mn}

to simplify:

\displaystyle \: S = 4\pi({ {5}^{2} x}^{4 \times 2} {y}^{1 \times 2}  {z}^{ 3 \times 2} )

simplify multiplication:

\displaystyle \: S = 4\pi({ 25x}^{8} {y}^{2}  {z}^{ 6} )

distribute:

\displaystyle \: S = 100\pi{ x}^{8} {y}^{2}  {z}^{ 6}

hence our answer is F

5 0
2 years ago
-3 -9 Which is the simplified form of (90-9 ot (90 °)?​
Marysya12 [62]

Answer:

I believe it is -3, althought -9 would work it needs to be simplified as low as possible and 3x3=9, therefore you can simplify 9 to 3.

Step-by-step explanation:

7 0
3 years ago
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