What is the distance between -3 and 12?

Mathematics

1 answer:

Arisa [49]3 years ago

3 0

Answer:

-15

Step-by-step explanation:

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There are 169 million registered voters in the us. determine an interval for the number (how many) of registered democrats in th

VashaNatasha [74]

Part A:

Given that in a sample of 400 registered voters, 204 were democrats, i.e. n = 400, <span> $\hat{p}= \frac{204}{400} =0.51$

</span>The 95% confidence interval for the proportion of registered democrats voters in the population is given by:

$95\%\ C.I.=\hat{p}\pm z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \\ \\ =0.51\pm1.96\sqrt{\frac{0.51(1-0.51)}{400}}=0.51\pm1.96\sqrt{\frac{0.2499}{400}} \\ \\ =0.51\pm1.96(0.025)=0.51\pm0.049=(0.51-0.049,\ 0.51+0.049) \\ \\ =\bold{(0.461,\ 0.559)}$

Part B:

Given that t<span>here are 169 million registered voters in the US, the interval for the number of registered democrats in the population is given by

[0.461(169,000,000), 0.559(169,000,000)] = (77,909,000, 94,471,000)
</span>

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3 years ago

Sam’s fish tank has a base area of 187 in2 and a height of 16

inessss [21]

997 1/3 in 3

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3 years ago

Find the volume of the cone with a radius of 2 inches and a height of 5 inches

lorasvet [3.4K]

$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=2\\ h=5 \end{cases}\implies V=\cfrac{\pi (2)^2(5)}{3} \\\\\\ V=\cfrac{20\pi }{3}\implies V\approx 20.94$

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4 years ago

Explain how you can use a model to find 6 x 17

crimeas [40]

We can use partial products model to solve 6×17
here Multiplicand =6
Multiplier=17
First break Multiplier (17) into 1 ten and 7 ones as
17=10+7
Then Multiply 6 to both of the parts of 17 then add it,
6×17
=6(10+7)
=6×10+6×7 [Distributive property]
=60+42=102
Partial Product is a product obtained by multiplying the multiplicand by one digit of the multiplier when the multiplier has more than one digit.

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3 years ago

( 2 x - 3 ) ( 7 x + 4) polynomials

Taya2010 [7]

Answer:

14x-12

Step-by-step explanation:

Simplify (2x-3)(7x+4).

Expand the brackets. Remember brackets mean to multiply.

We multiply the 2x and the 7x to get 14x and we multiply the -3 by 4 to get -12 as shown below;

(2x-3)(7x+4)

14x-12

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3 years ago