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3 years ago

What value in Vertex Form moves the graph up?

Mathematics

1 answer:

Leno4ka [110]3 years ago

6 0

Changing from negative to positive

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A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtain

slega [8]

Answer: 8359

Step-by-step explanation:

The formula for sample size needed for interval estimate of population proportion :-

$n=p(1-p)(\frac{z_{\alpha/2}}{E})^2$

Given : The significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}}=z_{0.025}=\pm1.96$

Previous estimate of proportion : $p=0.32$

Margin of error : $E=0.01$

Now, the required sample size will be :-

$n=0.32(1-0.32)(\frac{1.96}{0.01})^2=8359.3216\approx8359$

Hence, the required sample size = 8359

5 0

3 years ago

7.9 times 10 to the 8th power plus 1.68 times ten to the sixth power in scientific notation

nexus9112 [7]

7.9168 x 10^8
790000000 + 1680000 = 791680000

5 0

3 years ago

Find the margin of error for a 90% confidence interval when the standard deviation is LaTeX: \sigma= 50????=50 and LaTeX: n = 25

Murrr4er [49]

Answer:

The margin of error for a 90% confidence interval is 16.4

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 25

Standard deviation = 50

$z_{critical}\text{ at}~\alpha_{0.10} = \pm 1.64$

Margin of error =

$z_{critical}\times \dfrac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$1.64\times \dfrac{50}{\sqrt{25}} = 16.4$

Thus, the margin of error for a 90% confidence interval is 16.4

8 0

3 years ago

Members of the drama club spend $795 on t-shirts and sweatshirts for a play.They purchase 20 more tshirts than sweatshirts.They

Anika [276]

Answer:

The drama club bought 35 t-shirt

Step-by-step explanation:

Let

t-shirt = x

Sweatshirt = y

Total cost = $795

They purchase 20 more tshirts than sweatshirts

x = y + 20

The equation is:

12x + 25y = 795

12(y + 20) + 25y = 795

12y + 240 + 25y = 795

37y = 795 - 240

37y = 555

y = 15

Substitute y = 15 into

x = y + 20

x = 15 + 20

x = 35

t-shirt = 35

Sweatshirt = 15

The drama club bought 35 t-shirt

8 0

3 years ago

Two numbers, a and b, are stored in one byte floating point notation using the least significant (rightmost) 3 bits for the expo

ehidna [41]

$a=00110111 = 00110_2 \times 2^{111_2} = 6 \times 2^{-1} = 3$

$b=11011000 = 11011_2 \times 2^{000_2} = -(0100_2 + 1) =-(4+1)=-5$

$a+b=-2 = -1 \times 2^{001} = -2 \times 2^{0} = -4 \times 2^{-1}$ etc.

$a+b=-2 = 11111001 = 11110000 = 11100111 = ...$

Hard to select the correct answers without seeing the choices. Let's check a couple,

$11111001 = -(00000+1) \times 2^{1} = -2 \quad\checkmark$

$11110000 = -(00001 + 1) \times 2^{0} = -2 \quad\checkmark$

$11100111 = -(00011 + 1) \times 2^{-1} = -4/2= -2 \quad\checkmark$

4 0

3 years ago