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4 years ago

Simplify the expression and write out steps plz :) (4- root3)(root7+ root2)

1 answer:

7 0

You can do this with foil
F(which is the first term of both factors): 4*sqrt(7)
O(outside terms of both factors first and last) 4*sqrt(2)
I (Inside terms 2nd and 3rd) = - sqrt(3) sqrt(7) = - sqrt(21)
L (Last term in each of the factors) - sqrt(3)*sqrt(2) = - sqrt(6)

Combine terms: 4*sqrt(7) + 4*sqrt(2) - sqrt(21) - sqrt(6) <<<< answer.

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A sample of 20 account balances of a credit company showed an average balance of $1,170 and a standard deviation of $125. You wa

Lady_Fox [76]

Answer:

The P-value for this test is P=0.2415.

Step-by-step explanation:

We have to perform an hypothesis testing on the mean of alla account balances.

The claim is that the mean of all account balances is significantly greater than $1,150.

Then, the null and alternative hypothesis are:

$H_0: \mu=1150\\\\H_a: \mu>1150$

The sample size is n=20, with a sample mean is 110 and standard deviation is 125.

We can calculate the t-statistic as:

$t=\dfrac{\bar x-\mu}{s/\sqrt{n}}=\dfrac{1170-1150}{125/\sqrt{20}}=\dfrac{20}{27.95}=0.7156$

The degrees of freedom fot this test are:

$df=n-1=20-1=19$

For this one-tailed test and 19 degrees of freedom, the P-value is:

$P-value=P(t>0.7156)=0.2415$

8 0

4 years ago

What is 8.032 rounded to the nearest hundreth

patriot [66]

Answer:

8.03

Step-by-step explanation:

It would be 8.03 because the two in 8.03<u>2</u> makes the three stay the same instead of rounding up.

8 0

3 years ago

17. Let A denote the event that the next request for assistance from a statistical software consultant relates to the SPSS packa

ankoles [38]

Answer:

a. The probability is not equal to 1

b. P (A') = 0.70

c. P ( A U B ) = 0.80

d. P ( A' ∩ B' ) = 0.20

Step-by-step explanation:

a. Because these A and B are disjoint

b. since the probability of A is 0.30 then the probability of A compliment is

P(A compliment ) = 1 - P (A)

P(A compliment ) = 1-0.30

P(A compliment ) = 0.70

c. Since event are disjoint then intersection of A and B is 0, so probability of A U B is;

P ( A U B ) = P (A) + P(B) - P(A∩ B)

P ( A U B ) = 0.30 + 0.50 - 0

P ( A U B ) = 0.80

d. The inetrsection of compilments of A and B are:

by using De Morgan's Law we have,

P ( A' ∩ B' ) = P [(A U B )']

P ( A' ∩ B' ) = 1 - P ( A U B )

P ( A' ∩ B' ) = 1 - 0.80

P ( A' ∩ B' ) = 0.20

5 0

3 years ago

Limθ→π/4 (cosθ−sinθ)/(θ– π/4)

Rzqust [24]

Answer:

-√2

Step-by-step explanation:

For the typing purpose I replaced θ with n in the calculation

$\lim_{n \to \frac{\pi }{4}} \frac{cos n-sin n}{\frac{\pi }{4} } ...limits L'Hopital's Rule\\= \lim_{n \to \frac{\pi }{4}} \frac{-sin n-cos n}{1 } ... plug. in . \frac{\pi }{4} \\= - sin \frac{\pi }{4} - cos \frac{\pi }{4}\\= - \frac{\sqrt{2} }{2} - \frac{\sqrt{2} }{2}\\= \frac{- 2\sqrt{2}}{2} \\= - \sqrt{2}$

5 0

3 years ago

How do you find the Pythagorean Theorem?

wolverine [178]

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

Pythagorean's theorem is found using certain assumptions

Draw a square and make out four aright angles inside of it.

Label each side as 'a' 'b'. 'c'.

Where a is the opposite

b is the adjacent

c is the Hypotenuse.

Find the attached file for more clarity.

7 0

3 years ago