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3 years ago

what is the distance between the line going through points (1, -5/4) and (1/3, -3/4) and the point (2, -3)?

Mathematics

1 answer:

Mamont248 [21]3 years ago

6 0

Answer:

1.60078105936

Step-by-step explanation:

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The quotient of the sum of 2t and 2 and twice the cube of s

Vladimir79 [104]

The equation according to the given verbal sentence is $\frac{2 t+2}{2 s^{3}}$ (after solving this $\frac{t+1}{s^{3}}$ ).

<u>Step-by-step explanation:</u>

Rewrite the given verbal sentence and so it will be easier to translate.

Given: The quotient of the sum of 2 t and 2 and twice the cube of s

sum of 2 t and 2 can be written as

2 t + 2

twice the cube of s

$2 s^{3}$

Now, combine the above according to the given verbal. The quotient of the sum of 2 t and 2 and twice the cube of s means,

2 t + 2 divided by $2 s^{3}$

Now, the equation would be $\frac{2 t+2}{2 s^{3}}$

When solving this equation, we get

$\frac{2(t+1)}{2 s^{3}}=\frac{t+1}{s^{3}}$

8 0

3 years ago

Mia had $40 dollars . Then she started to receive $5 dollars a week as an allowance. She plans to save all of her money for a bi

castortr0y [4]

Answer:

4,60

I am not sure but hope it helped!

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

4 years ago

In 1992, the population of flamingos in Brazil was 15,500. Today, there are 32,860 flamingos in Brazil. What is the percent chan

Andrej [43]

232 bc 15500 divided by 100 is 155 then 155 times 232 is 32860

3 0

2 years ago

Please I need it asap

Sauron [17]

Answer:

5) √(3² + 5²) = √34

6) √(4² - 3²) = √7

7) the visible answers all say exactly the same thing in different ways and are all correct.

Step-by-step explanation:

3 0

3 years ago