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2 years ago

Beth can run 3 miles and 25.8 minutes how long does it take her to run 1 mile

1 answer:

6 0

To solve this problem you need to use the cross product method!

3 miles → 25.8 minutes
1 mile → × minutes

→ (25.8 • 1) ÷ 3 = × minutes

→ 25.8 ÷ 3 = × minutes

→ 8.6 = × minutes

So your answer is that it takes beth 8.6 minutes to run 1 mile!

There you go! I really hope this helped, if there’s anything just let me know! ☻

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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

A soccer player stands in the south east corner of a 72 yard x 65 yard field and kick the soccer ball All the way to a player in

lubasha [3.4K]

Answer:

Using the Pythagorean Theorem:

distance^2 = 72^2 + 65^2

distance^2 = 5,184 + 4,225

distance^2 = 9,409

distance = 97 yards

"round-trip" distance = 97 * 2 = 194 yards

Step-by-step explanation:

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2 years ago

Simplify 400:240 fully

gayaneshka [121]

40:24
20;12
10;6
5;3

5:3

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3 years ago

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What is the total of a $12,50 item plus 6% sales tax

balandron [24]

It’s is 20,0000 but it think that’s wrong

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2 years ago

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Write an equation in slope - intercept form passing through (2,5); slope 3 over 4

Ipatiy [6.2K]

We can use point slope form then convert to slope intercept

point slope
y-y1=m(x-x1)
m=slope
(x1,y1) is a givn point
point is (2,5)
slope is 3/4
y-5=3/4(x-2)
y-5=3/4x-6/2
add 5
y=3/4x-3+5
y=3/4x+2

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2 years ago