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2 years ago

What is the meaning of percent? How can percent be estimated and found?

Mathematics

1 answer:

Luden [163]2 years ago

8 0

Answer:

Percent means the number out of 100

use the formula ( Value you got / Original value) X 100

for percentage increase or decrease = (Change in value / original value) X 100

Step-by-step explanation:

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The ratio of a to b is 3 to 1, and the ratio of b to c is 1 to 5. What is the value of 2a+3b/ 4b+3c?

Nostrana [21]

Answer:

Step-by-step explanation:

Expressing the ratios as fractions, that is

$\frac{a}{b}$ = $\frac{3}{1}$ ( cross- multiply )

a = 3b

$\frac{b}{c}$ = $\frac{1}{5}$ ( cross- multiply )

c = 5b

------------------------------------------

Given

$\frac{2a+3b}{4b+3c}$ , substitute values from above for a and c

= $\frac{2(3b)+3b}{4b+3(5b)}$

= $\frac{6b+3b}{4b+15b}$

= $\frac{9b}{19b}$ ← cancel b on numerator/ denominator

= $\frac{9}{19}$ → B

6 0

3 years ago

Given f (x) = 8 (3-x) , what is the value of f (-1)

nikdorinn [45]

Answer:

8(3-(-1)) = 32

Step-by-step explanation:

3 0

3 years ago

[(4x + 15) / 5x)] = 1/2

Arada [10]

One way in which to approach this problem would be to treat it as an equation of ratios and to cross multiply:

<span>[(4x + 15) / 5x)] = 1/2 could be written as:

4x + 15 1
----------- = ---
5x 2

Then 8x + 30 = 5x

3x = -30, and so x = -10 (answer). Be certain to check this answer through substitution!

</span>

6 0

3 years ago

if (1,-7) is in the solution area of the inequality y ≤ 1x + b, what is the smallest value of b possible?

puteri [66]

Check your solution by first checking the end point , in the related equation. Pick a value greater than , such as 2, to check in the inequality. Solve for x. Divide both sides by 3 to isolate the variable.

4 0

2 years ago

Consider the following hypothesis test: H0: LaTeX: \mu_1-\mu_2=0μ 1 − μ 2 = 0 Ha: LaTeX: \mu_1-\mu_2\ne0μ 1 − μ 2 ≠ 0 The follow

Pavel [41]

Answer:

$z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53$

Step-by-step explanation:

Data given and notation

$\bar X_{1}=104$ represent the mean for the sample 1

$\bar X_{2}=106$ represent the mean for the sample 2

$\sigma_{1} =8.4$ represent the population standard deviation for the sample 1

$\sigma_{2}=7.6$ represent the population standard deviation for the sample 2

$n_{1}=80$ sample size for the group 1

$n_{2}=70$ sample size for the group 2

z would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the means for the two groups are the same, the system of hypothesis would be:

H0: $\mu_{1}-\mu_{2} =0$

H1: $\mu_{1} -\mu_{2} \neq 0$

If we analyze the size for the samples both are greater than 30 and we know the population deviations so for this case is better apply a z test to compare means, and the statistic is given by:

$z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

First we need to calculate the mean and deviation for each sample, after apply the formulas (2) and (3) we got the following results:

And with this we can replace in formula (1) like this:

$z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53$

7 0

2 years ago