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3 years ago

280 in the ratio 3:5

Mathematics

1 answer:

Sonja [21]3 years ago

7 0

Answer:

105:175

Step-by-step explanation:

3+5 = 8

3/8 of 280 is 105.

5/8 of 280 is 175.

the ratio is 105:175

next we have to simplify it:

divide both sides by 5:

21:35 divide both sides by 7=

3:5

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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

In an aquarium, there are 10 large fish and 5 small fish. Half of the large fish are red.

liraira [26]

Answer: I would think 1/3

Step-by-step explanation:

If there are 10 large fish and half are red that would mean there is a 5/10 chance of getting a red fish from the large fish.. because there are 15 fish in total you would do 5/15 because there are 15 and 10 of those fish are large and 5 of the large fish are red. And 5/15 to its simplest form is 1/3! If this is right please give brainlist!

6 0

3 years ago

Pls help I’m going to get in trouble if I don’t finish this test<br> I will mark you as brainlist

kaheart [24]

The ratio is 1:5 tbh or that’s what I think ahahahah

7 0

3 years ago

Read 2 more answers

Tony walks 1/3 of a mile to school each day. He also walks home from school. How many miles will he have walked in one five-day

djyliett [7]

Answer:

<h2> 3 1/3 miles per five day week</h2>