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3 years ago

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Mathematics

2 answers:

aliina [53]3 years ago

7 0

Answer:

24 sq. in

Step-by-step explanation:

your formula is A=h(b/2)

h=8

b=2

A=?

A=8(6/2)

A=8(3)

A=24

Evgen [1.6K]3 years ago

3 0

24 is the correct answer.

8 multiplied by 6=48.

48 divided by 2=24

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Answer:

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Step-by-step explanation:

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3 years ago

What is the next term of the arithmetic sequence?<br> -2, 3, 8, 13, 18,

Aneli [31]

Answer:

$\boxed{\boxed{\sf~a_6=23}}$

Solution Steps:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 5 to the previous term in the sequence gives the next term. In other words, $a_n=a_1+d(n-1)$ .

Arithmetic Sequence: $d=5$

Find the next term using the Arithmetic Sequence.

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3 years ago

Read 2 more answers

Find the value of X such that the data set has the given mean. 99, 123, 105, 114, 107, X; mean 108

Ulleksa [173]

Answer:

The value of x is 100

Step-by-step explanation:

* Lets revise how to find the missing number of the given Mean

- Add up the numbers you know.

- Set up your equation by adding the sum of the numbers plus “x”

- Divide the sum by the number of numbers given.

- Equate them by the value of the mean

- Solving for "x"

- Check the Answer

* Now lets solve the problem

- The numbers are 99 , 123 , 105 , 114 , 107

- The sum of the numbers = 99 + 123 + 105 + 114 + 107 = 548

- The equation is ⇒ (548 + x)/6 = 108 ⇒ × 6 both sides

∴ 548 + x = 648 ⇒ subtract 548 from both sides

∴ x = 100

* Now lets check the answer

- The mean = (99 + 123 + 105 + 114 + 107 + 100)/6 = 648/6 = 108

∴ The answer x = 100 is correct

* The value of x is 100

8 0

3 years ago

Read 2 more answers

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 car travels 80 miles on 5 gallons of gas. How many gallons of gas

dalvyx [7]

Answer:

7 gallons

Step-by-step explanation:

Step 1:

80 : 5 = 112 : x

Step 2:

80x = 560

Answer:

x = 7

Hope This Helps :)

5 0

3 years ago