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3 years ago

Determine if x=-16 is a zero & find the quotiant and the remainder

Mathematics

1 answer:

DerKrebs [107]3 years ago

3 0

Answer:

○ A. No, x = -16 is not a zero of the polynomial.

The quotient is x² - 2x + 83, and the remainder is -1274.

Step-by-step explanation:

This is not a zero. When set to equal zero, you get these roots: -2, -3, -9. Now, about the the Remainder Theorem, I have not been taught this, but just by looking at it, I come across this as the remainder.

I am joyous to assist you anytime.

* I cross my fingers for it to be correct!

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Mom drove 180 miles from home to the hotel in 3 hours how many miles did she drive per hour

Lorico [155]

Answer:

$\huge\boxed{\sf 60 \ miles}$

Step-by-step explanation:

<u>Given that,</u>

3 hours = 180 miles

Divide 3 to both sides

3/3 hour = 180/3 miles

1 hour = 60 miles

So, Mom drove 60 miles in one hour.

$\rule[225]{225}{2}$

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2 years ago

It is claimed that automobiles are driven on average more than 20,000 kilometers per year. To test this claim, 100 randomly sele

kow [346]

Answer:

$t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974$

$p_v =P(t_{99}>8.974)=9.43x10^{-15}$

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.

Step-by-step explanation:

1) Data given and notation

$\bar X=23500$ represent the sample mean

$s=3900$ represent the sample standard deviation

$n=100$ sample size

$\mu_o =2000$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the true mean is higher than 20000, the system of hypothesis would be:

Null hypothesis: $\mu \leq 2000$

Alternative hypothesis: $\mu > 2000$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974$

Calculate the P-value

First we need to calculate the degrees of freedom given by:

$df=n-1=100-1=99$

Since is a one-side upper test the p value would be:

$p_v =P(t_{99}>8.974)=9.43x10^{-15}$

Conclusion

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3 years ago

Solve the equation n/10 + 3 = 11

tensa zangetsu [6.8K]

Answer:

n = 80

Hope this helps(:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

An observer 2.5 miles from the launch pad of a space shuttle measures the angle of elevation to the base of the shuttle to be 25

kotegsom [21]

Answer:

Height of shuttle at that instant = 1.17 miles

Step-by-step explanation:

Refer the given figure.

C is the position of rocket and B is the position of observer.

Here we need to find AC, that is the height of shuttle at that instant.

Using trigonometric rules on ΔABC, we have

$tan25=\frac{AC}{AB} \\\\tan25=\frac{AC}{2.5}\\\\AC=2.5\times tan25\\\\AC=1.17miles$

Height of shuttle at that instant = AC = 1.17 miles

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3 years ago

For a set of ordered pairs, the variable corresponding to the first coordinate is the

Korvikt [17]

X factor because its the u have to run before you fly effect
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3 years ago

Determine if x=-16 is a zero & find the quotiant and the remainder​

Determine if x=-16 is a zero & find the quotiant and the remainder