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ioda
3 years ago
7

20% of what amount is 8?

Mathematics
1 answer:
Dovator [93]3 years ago
3 0

Divide 20 % by 100 to get its decimal form. 

Dividing 20 % by 100 equals 0.2.

Set up an equation as 0.2x = 8, 

which means 20 %of x equals 8.

Solve the equation by dividing each side by 0.2. 

Dividing 0.2 from each side results in  x = 40. Eight is 20 % of 40.


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A parabola is given by the equation y = x2 + 4x + 4.
notsponge [240]

Answer:

the vertex of the parabola is:(-2,0)

the focus of the parabola is:(-2,\frac{1}{4})

the directrix of the parabola is:y=\frac{-1}{4}

Step-by-step explanation:

we know that for any general equation of the parabola of the type y=ax^{2} +b x+c the vertex of the parabola is given by (h,k)

where h=\frac{-b}{2 a} and k=\frac{4 a c-b^{2} }{4a}

therefore by the given data we have h=-2 and k=0

hence vertex=(-2,0)

the general equation of the parabola of the type 4 a (y-h)=(x-k)^2 ; the parabola symmetric around the y-axis has the focus from the centre i.e. the vertex (h,k) at a distance a as (h,k+a) and the directrix is given by y=k-a

so focus is (-2,\frac{1}{4} )

now the directrix of the parabola is y=\frac{-1}{4}.




3 0
3 years ago
Which graph shows the inequality n>2
Ira Lisetskai [31]
C. the third graph.
hope this helps!
3 0
3 years ago
A triangle has sides measuring 2 inches and 7 inches. If x represents the
xz_007 [3.2K]

Answer:

its d.

Step-by-step explanation:

the other guy is wrong

3 0
3 years ago
Please help me check my work and correct me if I'm wrong.
Aleonysh [2.5K]
I believe you are right with all of them.
7 0
3 years ago
Read 2 more answers
"A laboratory tested 73 chicken eggs and found that the mean amount of cholesterol was 230 milligrams with LaTeX: \sigmaσ = 17.4
Scrat [10]

Answer:

The 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is between 226.01 and 233.99 milligrams.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{17.4}{\sqrt{73}} = 3.99

The lower end of the interval is the sample mean subtracted by M. So it is 230 - 3.99 = 226.01

The upper end of the interval is the sample mean added to M. So it is 230 + 3.99 = 233.99.

The 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is between 226.01 and 233.99 milligrams.

4 0
3 years ago
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