All categories

3 years ago

Solve the equation 4t =6t-8/5

Mathematics

1 answer:

adoni [48]3 years ago

5 0

Answer:

3.2

Step-by-step explanation:

0 = 2t - 8/5

8/5 = 2t

16/5 = t

3.2 = t

You might be interested in

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

The table shows how much an air-conditioning repair company charges for different numbers of hours of work. Write the equation i

Sloan [31]

Answer:

x over y using the numbers given

Step-by-step explanation:

5 0

3 years ago

Use any model to solve the story problem. A single board is 1/12 meter thick. How many boards are there in a stack of boards tha

Colt1911 [192]

If a single board measures 1/12 of a meter then it would take 12 boards to make a meter. Since, the stack is 2 meters high. You would multiply 12 and 2 to get 24. There is 24 boards in the stack.

4 0

3 years ago

Steph took out a simple interest loan that charges 8.5% interest annually. If her original loan amount was for $30,000 and she i

vazorg [7]

Answer:

$81,000

Step-by-step explanation:

A = Final Payment = ?

P = Principal Amount = $30,000

r = Interest Rate = 8.5%

t = Time = 20 Years

A = P(1 + rt)

A = 30,000(1 + 0.085 x 20)

A = 30,000 + 51000

A = $81,000

Hence, Steph will pay $81,000 altogether.

8 0

3 years ago

How many Times can 20 be divided.

natali 33 [55]

20 can be divided by 2 twice, with 5 remaining

20 can be divided by 4 once, with 5 remaining

20 can be divided by 5 once, with 4 remaining

20 can be divided by 10 twice

20 can be divided by 20 once

hope this helps

6 0

3 years ago