F(x)= x squared + 6x + 8

If a line is 10 feet long but needs to be reduced to 80% of its original, how long will the new line be?

motikmotik

Answer:

8 feet

Step-by-step explanation:

6 0

3 years ago

The area of a circle is 616cm find the radius

Leokris [45]

<h3>Given :-</h3>

Area of Circle = 616 cm²

Radius of a circle = ?

<h3>Solution :-</h3>

☼︎ <u>Radius of the Circle</u>;

<h3>Using Formula:</h3>

$\\ \red\bigstar {\underline{\boxed{\color{springgreen}{\textsf{ \textbf{ \: Area \: of \: circle= \: \: π \: r \: ² \: }}}}}} \\\\$

<u>Putting values in the formula;</u>

$\\ \sf \implies \: Area \: = \: \pi \: r \: ^{2} \\$

$\\ \sf \implies \: 616 \: = \:\frac{22}{7} \times \: r \: ^{2} \\$

$\\ \sf \implies \: 616 \: \times \: \frac{7}{22} \: = \: \: r \: ^{2} \\$

$\\ \sf \implies \: \: \frac{ \: \: 4312 \: \: }{22} \: = \: \: r \: ^{2} \\$

$\\ \sf \implies \: \: \cancel{\frac{ \: \: 4312 \: \: }{22} }\: = \: \: r \: ^{2} \\$

$\\ \sf \implies \: \: \: 196 \: \: = \: \: r \: ^{2} \\$

$\\ \sf \implies \: \:r \: ^{2} = \: 196 \: \: \: \: \\$

$\\ \sf \implies \: \:r \: = \sqrt{ \: 196 \: } \\$

$\\ \bf \implies \: \:Radius \: = 14 \: cm \\$

henceforth, the Radius of a circle is 14 cm ...!!

6 0

1 year ago

Read 2 more answers

I don't know how to do this please help me!

VladimirAG [237]

Answer:

to find the equivalent positive angle of a negative angle, just add 360 to it until it becomes positive and is between 0 and 360 degrees. -244 + 360 = 116.

Step-by-step explanation:

7 0

2 years ago

Please help.<br> Is algebra.<br> PLEASE HELP NO LINKS OR FILES

Pavel [41]

Answer:

$2a$

$-5x^{2}$

Step-by-step explanation:

7 0

3 years ago

In the past, the average age of employees of a large corporation has been 40 years. Recently, the company has been hiring older

Viktor [21]

Answer:

$p_v =P(t_{(63)}>2.5)=0.0075$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean age is significantly higher than 45 years at 5% of significance.

Step-by-step explanation:

1) Data given and notation

$\bar X=45$ represent the mean height for the sample

$s=16$ represent the sample standard deviation for the sample

$n=64$ sample size

$\mu_o =40$ represent the value that we want to test

$\alpha=0.05$ 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 check if the mean age is higher than 40 years, the system of hypothesis would be:

Null hypothesis: $\mu \leq 40$

Alternative hypothesis: $\mu > 40$

If we analyze the size for the sample is < 30 and we don't know the population deviation so 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:

$t=\frac{45-40}{\frac{16}{\sqrt{64}}}=2.5$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=64-1=63$

Since is a one right tailed test the p value would be:

$p_v =P(t_{(63)}>2.5)=0.0075$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean age is significantly higher than 45 years at 5% of significance.

6 0

3 years ago