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4 years ago

What is 4/7x + 5/14x = 39 ?

2 answers:

6 0

Find a common denominator for 4/7 which gives you 8/14 then add it to 5/14 and get 13/14x=36 then divide 36 by 13/14 and get 42

Sladkaya [172]4 years ago

5 0

Answer:

yes

Step-by-step explanation:

if you break it down on paper ( which btw i get why you didnt want to do it) you get 39

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A study was done to determine the average number of homes that a homeowner owns in his or her lifetime. For the 50 homeowners su

ipn [44]

Answer:

The 95% confidence interval for the true average number of homes that a person owns in his or her lifetime is (4,6.2).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So

df = 50 - 1 = 49

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.0096

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.0096\frac{3.8}{\sqrt{50}} = 1.1$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 5.1 - 1.1 = 4

The upper end of the interval is the sample mean added to M. So it is 5.1 + 1.1 = 6.2.

The 95% confidence interval for the true average number of homes that a person owns in his or her lifetime is (4,6.2).

7 0

3 years ago

Simplify: 6y + 5z + 8y – 3z

REY [17]

$6y + 5z +8y- 3z \\
14y + 2z\\ \\
2 (7 y + z) 
$

7 0

3 years ago

Read 2 more answers

CALCULUS:

slamgirl [31]

Answer:

$E(p)=\frac{p^2}{40-p^2}$

E(3) = 0.29

2. See Below

Step-by-step explanation:

According to the formula we would need the derivative, so lets first calculate the derivative of f(p) given.

The rules to use would be $f(x)=ax^n\\f'(x)=nax^{n-1}$

Also, remember to use chain rule if there is a function inside a function. So we differentiate the "inside" function again.

Now, lets differentiate:

$f(p)=\sqrt{40-p^2}\\f(p)=(40-p^2)^{\frac{1}{2}}\\f'(p)=\frac{1}{2}(40-p^2)^{\frac{1}{2}-1}*(-2p)\\f'(p)=\frac{1}{2}(40-p^2)^{-\frac{1}{2}}*(-2p)\\f'(p)=-\frac{p}{\sqrt{40-p^2}}$

Now, the E(p):

$E(p)=-\frac{pf'(p)}{f(p)}\\E(p)=-\frac{p*(-\frac{p}{\sqrt{40-p^2}})}{\sqrt{40-p^2}}\\E(p)=\frac{p^2}{40-p^2}$

We find E(3) by substituting 3 into "p":

$E(p)=\frac{p^2}{40-p^2}\\E(3)=\frac{3^2}{40-3^2}\\E(3)=\frac{9}{31}\\E(3)=0.29$

When E(p) = 1, it means the price elasticity of demand is "1". It is the called Unitary Elastic Demand. It means that for every unit change in price, there is the same unit change in demand. The changes of demand and price are proportional to each other.

7 0

3 years ago

tom has 9 toy cars after 3 weeks he had 6 toys cars how many toy cars does tom destroy per week answer

madreJ [45]

Tom destroys one toy car each week.

9-3=6 i car destroyed each week!

6 0

3 years ago

PLEASE I NEED HELP!! Explain your answer please

Gnom [1K]

Answer:

look this up on Gøogle should find it

Step-by-step explanation:

good luck

5 0

3 years ago

Read 2 more answers