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4 years ago

Which answer is correct and why?

Mathematics

2 answers:

g100num [7]4 years ago

4 0

I say E. This is because our class studdied this not to long ago so that is what I thing]

Ivanshal [37]4 years ago

3 0

The answer is C.) 62.
Subtract 28 from 180, leaving 152, then subtract 90 since it's a right triangle because 2 sides are equivalent, leaving 62.

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a 120 lb. person would weigh about 20 lb. o. the earth's moon. A 150 lb. person would weigh 28 lb. on lo, a moon of Jupiter. Use

Naddik [55]

I think it would look like this 20:28 or 120:150

8 0

4 years ago

What inequality is graphed below?

topjm [15]

The Answer should be D.

4 0

3 years ago

How do you solve for a and b showing your work

Mariulka [41]

Answer:

a) 4

b) $\frac{1}{2} \sqrt{y^5}$

Step-by-step explanation:

PART A

Simplify the expression by solving out the square roots.

$\frac{\sqrt{16} \sqrt{p} }{\sqrt{p}}$ = $\frac{4 \sqrt{p} }{\sqrt{p}}$

You can cancel out the $\sqrt{p}$ on the top and bottom.

So, a should be 4.

PART B

Solve out the square root. The square root is pretty much the 1/2 power, so you can divide the exponents by half.

$\frac{\sqrt{y^{10}} }{\sqrt{4y^{5}} }$ = $\frac{y^{5}}{2y^{\frac{5}{2}} }$

You can subtract exponents to divide them. So the y variable becomes $y^{5 - 5/2}$ , or $y^{5/2}$ .

Then, the overall expression is $\frac{1}{2} y^{\frac{5}{2} }$ , or you can turn that into $\frac{1}{2} \sqrt{y^5}$ .

5 0

4 years ago

7q + 2p = 29 & 2p - q =5

faltersainse [42]

Eliminate p terms
times 2nd equation by -1
q-2p=-5
add to 2nd equation

q-2p=-5
7q+2p=29 +
8q+0p=24

8q=24
divide both sides by 8
q=3
sub back

2p-q=5
2p-3=5
add 3
2p=8
divide by 2
p=4

p=4
q=3

7 0

4 years ago

Read 2 more answers

Fizzy Waters has been involved in multiple lawsuits regarding the alkaline substance concentration in their product and getting

ser-zykov [4K]

Answer:

Step-by-step explanation:

For the sample, n = 12

Mean, x = (158.2 + 162.8 + 161.5 + 161.2 + 166.5 + 160.1 + 158.4 + 175.6 + 159.9 + 168.8 + 161.9 + 163.7)/12 = 163.22

Variance, s² = (summation(x - mean)²/n

Summation(x - mean)² = (158.2 - 163.22)^2 + (162.8 - 163.22)^2 + (161.5 - 163.22)^2 + (161.2 - 163.22)^2+ (166.5 - 163.22)^2 + (160.1 - 163.22)^2 + (158.4 - 163.22)^2 + (175.6 - 163.22)^2 + (159.9 - 163.22)^2 + (168.8 - 163.22)^2 + (161.9 - 163.22)^2 + (163.7 - 163.22)^2 = 273.5368

Variance, s² = 273.5368/12 = 22.79

This is a test for a single variance. We would set up the test hypothesis.

For the null hypothesis,

H0: σ² ≥ 25

For the alternative hypothesis,

H1: σ² < 25

The formula for determining the test statistic,x² is

x² = (n - 1)s²/σ²

Where n - 1 is the degree of freedom, df.

df = 12 - 1 = 11

x² = (11 × 22.79)/25 = 10.0276

For a test of 90% reliability, Confidence level = 0.9

Cl = 1 - alpha(level of significance)

alpha = 1 - 0.9 = 0.1

The critical value from the chi-square distribution table is 17.28. Since 17.28 > 10.0276, we would reject the null hypothesis. Therefore, the filling machine does not need repair because the variance of the process is not more than 25 oz.

8 0

3 years ago