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Marina CMI [18]
3 years ago
5

???????????????????????????????????????????

Mathematics
1 answer:
shusha [124]3 years ago
4 0
For question 1, just plug in -2 as <em>h.

</em>-2(-2)^2-(-2)+2
<em>
</em>You would get...

h(-2)=-4
<em>
</em>Hope this helped! <em>-4, or option 1, is correct!</em><em>
</em>
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Which is eWhich is equivalent to 3 square root of 125quivalent to ?
Mkey [24]

Answer:

15\sqrt{5}

Step-by-step explanation:

3\sqrt{125}=3\sqrt{25*5}\\ =3\sqrt{25}*\sqrt{5}\\ =3*5*\sqrt{5}\\ =15\sqrt{5}

4 0
2 years ago
In the past, 21% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm ha
Afina-wow [57]

Answer:

A sample size of 79 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

\pi = 0.21

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.  

What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.09?

A sample size of n is needed.

n is found when M = 0.09. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.09 = 1.96\sqrt{\frac{0.21*0.79}{n}}

0.09\sqrt{n} = 1.96\sqrt{0.21*0.79}

\sqrt{n} = \frac{1.96\sqrt{0.21*0.79}}{0.09}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.21*0.79}}{0.09})^{2}

n = 78.68

Rounding up to the nearest whole number.

A sample size of 79 is needed.

4 0
3 years ago
What are the values of sin α and tan α, if:<br> cosα=0.6
olganol [36]

Positive cosine is first or fourth quadrant.  So we don't know the sign of the sine or the tangent.

Everybody's favorite right triangle is 3/4/5 and here we have

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So if

\cos \alpha = 0.6 = \dfrac 3 5

then

\sin \alpha = \pm \dfrac{4}{5} = \pm 0.8

and

\tan \alpha = \dfrac{\sin \alpha}{\cos \alpha} = \dfrac{\pm 0.8}{0.6}=\pm \dfrac 4 3

6 0
2 years ago
Two sides of a triangle measure 8 centimeters and 13 centimeters which of the following could not be the length of the third sid
SOVA2 [1]
The answer is A because 13-9 equals 4
3 0
2 years ago
P={x:x is a natural number,x&lt;9​
Elanso [62]

Answer:

x:x = 1 so it is a natural number

Step-by-step explanation:

it can be any negative number because: -x<9

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5 0
2 years ago
Read 2 more answers
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