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Thepotemich [5.8K]
3 years ago
11

The number 424 is what percent of 530

Mathematics
2 answers:
postnew [5]3 years ago
5 0
424/530=0,8
0,8*100%=80%
g100num [7]3 years ago
5 0
You divide 530 into 424, and you get 80%.
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3x - 5y = 14 and – 2x + 2y = 0
zubka84 [21]

Answer:

x=5.6

y=-5.6

Step-by-step explanation:

3x - 5y = 14 Equation 1

– 2x + 2y = 0 Equation 2

Simultaneous equation can be solved either through elimination method or substitution method. But we use elimination method for this question

Multiply equation 1 by -2 (the coefficient of x in equation 2) and multiply equation 2 with 3 (the coefficient of x in equation 1), so that x will have the same coefficient in the new equations, and easy to eliminate

-2(3x - 5y = 14)

-6x+10y=-28 Equation 3

3(– 2x + 2y = 0)

-6x+6y=0 Equation 4

Subtract equation 4 from 3 to eliminate x

-6x+10y=-28

-6x+6y=0

-6x-(-6x)=-6x+6x=0

10y-6y=5y

-28-0=-28

5y=-28

y=-28/5

y=-5.6

Substitute for y in equation 2

– 2x + 2y = 0

– 2x + 2(-5.6) = 0

-2x-11.2=0

-2x=11.2

x=-11.2/2

x=5.6

7 0
3 years ago
If the range of the function f(x) = 7x – 2.7 is {14.1, 30.9, 41.4, 58.9, 68}, what is its domain?
Drupady [299]

domain is {2.4, 4.8, 6.3, 8.8, 10.1 }

For domain, equate f(x) to each value in the range and solve for x

7x - 2.7 = 14.1 ⇒ x = \frac{x14.1 + 2.7}{7} = 2.4

7x - 2.7 = 30.9 ⇒ x = \frac{30.9 + 2.7}{7} = 4.8

7x - 2.7 = 41.4 ⇒ x = \frac{41.4 + 2.7}{7} = 6.3

7x - 2.7 = 58.9 ⇒ x = \frac{58.9 + 2.7}{7} = 8.8

7x - 2.7 = 68 ⇒ x = \frac{68 + 2.7}{7} = 10.1


7 0
3 years ago
Will give, Branliest.<br><br>Thanks, <br>:) ​
Nikolay [14]

Answer:

250p-195

Step-by-step explanation:

did the quiz

8 0
3 years ago
Read 2 more answers
How many more vertices does a rectangular prism have, compared to triangular pyramid?
Alina [70]

Answer:

A rectangular prism has eight vertices and a rectangular pyramid has five.Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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
3 years ago
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