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Sergio039 [100]
3 years ago
6

Factor the polynomials completely. If the polynomial cannot be factored, write "prime."

Mathematics
1 answer:
Monica [59]3 years ago
7 0

Answer:

4) -(m+12)(m-12)

5) (y+12)^2

6) (x+5)(x-5)(x^2-25)

7) (a+9)(-y+7)

8) Prime

9) Prime

Hope this helps!


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Find the area of the following triangle. Round your answers to the nearest tenth. a = 44 in, b = 66 in, c = 88 in
swat32
P=44+66+88/2=198/2=99
With Heron formula:
S=root 99*(99-44)(99-66)(99-88)=root 99*55*33*11=root 1976535= 1405.8929.....=1405.9
6 0
3 years ago
Are the linear equations in standard form? sort each equation into the appropriate category.
Sholpan [36]
What equation? You would have to pass a photo, but...
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The estimated daily living costs for an executive traveling to various major cities follow. The estimates include a single room
Alexandra [31]

Answer:

\bar x = 260.1615

\sigma = 70.69

The confidence interval of standard deviation is: 53.76 to 103.25

Step-by-step explanation:

Given

n =20

See attachment for the formatted data

Solving (a): The mean

This is calculated as:

\bar x = \frac{\sum x}{n}

So, we have:

\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}

\bar x = \frac{5203.23}{20}

\bar x = 260.1615

\bar x = 260.16

Solving (b): The standard deviation

This is calculated as:

\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}

\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}\sigma = \sqrt{\frac{94938.80}{19}}

\sigma = \sqrt{4996.78}

\sigma = 70.69 --- approximated

Solving (c): 95% confidence interval of standard deviation

We have:

c =0.95

So:

\alpha = 1 -c

\alpha = 1 -0.95

\alpha = 0.05

Calculate the degree of freedom (df)

df = n -1

df = 20 -1

df = 19

Determine the critical value at row df = 19 and columns \frac{\alpha}{2} and 1 -\frac{\alpha}{2}

So, we have:

X^2_{0.025} = 32.852 ---- at \frac{\alpha}{2}

X^2_{0.975} = 8.907 --- at 1 -\frac{\alpha}{2}

So, the confidence interval of the standard deviation is:

\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} } to \sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }

70.69 * \sqrt{\frac{20 - 1}{32.852} to 70.69 * \sqrt{\frac{20 - 1}{8.907}

70.69 * \sqrt{\frac{19}{32.852} to 70.69 * \sqrt{\frac{19}{8.907}

53.76 to 103.25

8 0
2 years ago
Kyleigh is making a bowl of punch. The recipe calls for 2 1/4 cups for sherbet. If she uses 1 2/3 of that amount, will she be us
ankoles [38]
Less than the original amount of sherbet
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A car covered a certain distance at a speed of 24 mph. While returning, the car covered the same distance at a speed of 16 mph.
Ymorist [56]

Answer:

19.2 mph

Step-by-step explanation:

just trust me

7 0
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