If f(x)=4x^5+5x^4+1, then what is the remainder when f(x) is divided by x-2

A random sample of 144 recent donations at a certain blood bank reveals that 81 were type A blood. Does this suggest that the ac

Reptile [31]

Answer:

Null hypothesis: $p=0.4$

Alternative hypothesis: $p \neq 0.4$

$z=\frac{0.5625 -0.4}{\sqrt{\frac{0.4(1-0.4)}{144}}}=3.98$

$p_v =2*P(z>3.98)=0.0000689$

Since the p value is very low compared to the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true percent of people with type A of blood is significantly different from 0.4 or 40%

Step-by-step explanation:

Information given

n=144 represent the random sample taken

X=81 represent the number of people with type A blood

$\hat p=\frac{81}{144}=0.5625$ estimated proportion of people with type A blood

$p_o=0.4$ is the value that we want to verify

$\alpha=0.01$ represent the significance level

z would represent the statistic

$p_v{/tex} represent the p value Hypothesis to testWe want to test if the percentage of the population having type A blood is different from 40%.: Null hypothesis:[tex]p=0.4$

Alternative hypothesis: $p \neq 0.4$

the statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we got:

$z=\frac{0.5625 -0.4}{\sqrt{\frac{0.4(1-0.4)}{144}}}=3.98$

Now we can calculate the p value with this probability taking in count the alternative hypothesis:

$p_v =2*P(z>3.98)=0.0000689$

Since the p value is very low compared to the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true percent of people with type A of blood is significantly different from 0.4 or 40%

3 0

3 years ago

if the input value is negative, is the output value of f(z)=-4z+12 always positive or always negative?

expeople1 [14]

If the input value is negative, the output value is always positive. We know this because the negative sign before the 4z will always reverse the negativity of the number that is plugged in.

6 0

3 years ago

For a computer science degree, if you have a bachelor's degree your projected yearly income is $68,103 and if you have a master'

MAVERICK [17]

Answer:

566,880

Step-by-step explanation:

First you have to understand what the problem is asking you. It wants you to find the difference between working for 40 years with a master's degree and 40 years with a bachelor's degree.

Next you need to do the math. You can use a calculator since these are pretty large numbers. Enter in the following to find how much you make working 40 years with a bachelor's degree: 68,103 * 40 Once you have calculated that, you should get 2,724,120. Now you need to find how much you earn working 40 years with a master's degree. Enter the following: 82,275 * 40 You should get 3,291,000.

Finally you need to find the difference. Type into your calculator the following: 3,291,000 - 2,724,120 You should end up with 566,880.

Hope this helps!

-Coconut;)

7 0

3 years ago

Michelle opened a savings account for her emergency fund. She deposited $2,000 into her account, which earns 2.10% interest, com

mrs_skeptik [129]

Answer: she will have $2042.4 have in the account after 1 year.

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $2000

r = 2.1% = 2.1/100 = 0.021

n = 12 because it was compounded 12 times in a year.

t = 1 year

Therefore,

A = 2000(1 + 0.021/12)^12 × 1

A = 2000(1 + 0.00175)^12

A = 2000(1.00175)^12

A = $2042.4

5 0

3 years ago

Are these in the same FACT FAMILY??<br><br> 4 + 5 = 9<br><br> 9 - 5 = 4

a_sh-v [17]

Answer:

yes cause they are the same #s

Step-by-step explanation:

6 0

3 years ago

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