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3 years ago

17. Aaron is practicing for a triathlon On Sunday, he bikes 12 miles

Mathematics

1 answer:

konstantin123 [22]3 years ago

6 0

Answer:

23 miles

Step-by-step explanation:

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What is the derivative of a function?

user100 [1]

<span>In mathematical analysis it's the measure of how fast does value of the function change in relation to change of its variables.
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3 0

3 years ago

Suppose a student's score on a standardize test to be a continuous random variable whose distribution follows the Normal curve.

blsea [12.9K]

Answer:

a) Percentage of students scored below 300 is 1.79%.

b) Score puts someone in the 90th percentile is 638.

Step-by-step explanation:

Given : Suppose a student's score on a standardize test to be a continuous random variable whose distribution follows the Normal curve.

(a) If the average test score is 510 with a standard deviation of 100 points.

To find : What percentage of students scored below 300 ?

Solution :

Mean $\mu=510$ ,

Standard deviation $\sigma=100$

Sample mean $x=300$

Percentage of students scored below 300 is given by,

$P(Z\leq \frac{x-\mu}{\sigma})\times 100$

$=P(Z\leq \frac{300-510}{100})\times 100$

$=P(Z\leq \frac{-210}{100})\times 100$

$=P(Z\leq-2.1)\times 100$

$=0.0179\times 100$

$=1.79\%$

Percentage of students scored below 300 is 1.79%.

(b) What score puts someone in the 90th percentile?

90th percentile is such that,

$P(x\leq t)=0.90$

Now, $P(\frac{x-\mu}{\sigma} < \frac{t-\mu}{\sigma})=0.90$

$P(Z< \frac{t-\mu}{\sigma})=0.90$

$\frac{t-\mu}{\sigma}=1.28$

$\frac{t-510}{100}=1.28$

$t-510=128$

$t=128+510$

$t=638$

Score puts someone in the 90th percentile is 638.

5 0

3 years ago

Cheryl and rodney are mixing yellow and blue paint to make green paint. The table shows how much of each color they use. Whose g

Tomtit [17]

The amount of blue color in the green paint is an illustration of ratios and proportions.

Cheryl's green paint has more blue color

The proportion of blue color is calculated as:

$\mathbf{Proportion = \frac{Blue}{Blue+ Yellow}}$

So, we have:

$\mathbf{Cheryl= \frac{16}{16+ 24}}$

$\mathbf{Cheryl= \frac{16}{40}}$

$\mathbf{Cheryl= 0.40}$

Express as percentage

$\mathbf{Cheryl= 40\%}$

$\mathbf{Rodney= \frac{6}{6+ 10}}$

$\mathbf{Rodney= \frac{6}{16}}$

$\mathbf{Rodney= 0.375}$

Express as percentage

$\mathbf{Rodney= 37.5\%}$

By comparison: 40% >37.5%

Hence, Cheryl's green paint has more blue color

Read more about proportions at:

brainly.com/question/21126582

4 0

2 years ago

Look at pseudocode segment below. y ← x + x + x + x + x // line a z ← y + y + y // line b If x = 6 before this segment is execut

r-ruslan [8.4K]

Answer:

90.

Step-by-step explanation:

We have two lines of code:

y ← x + x + x + x + x

z ← y + y + y

and, x=6 before the execution. Then, when the program starts to run we obtain:

y ← 6 + 6 + 6 + 6 + 6

y ← 30

z ← 30+30+30

z ← 90.

Then, the value of z after excecution is 90.

6 0

3 years ago

There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. How many different combinations

Anna71 [15]

13C10 = 13C3 = 13x12x11/(1x2x3) =
"286 ways".

4 0

3 years ago

Read 2 more answers