4.(01.03)

5. (MGSE9-12.A.CED.2, MGSE9-12.F.BF.1) Which equation is equivalent to f(x) =

Greeley [361]

The answer to the problem is C

4 0

2 years ago

Suppose that a worker in Caninia can produce either 2 blankets or 8 meals per day, and a worker in Felinia can produce either 5

lubasha [3.4K]

Answer:

The answer to the question is

The war has caused the combined daily output of the two countries to decline by 50%

Step-by-step explanation:

To solve this we have

a worker at Caninia produce Blankets = 2 and Meals = 8

a worker at Felinia produce Blankets = 5 and Meals = 1

Each country has 10 workers, therefore, total production rate for each of the two countries is

Caninia produce Blankets = 20 and Meals = 80

Felinia produce Blankets = 50 and Meals = 10

Total production = Blankets = 70 and Meals = 90

Without trade between the two countries we have

Caninia produce Blankets = 10 and Meals = 40

Felinia produce Blankets = 25 and Meals = 5

Total production = Blankets = 35 and Meals = 45

Therefore the war has caused the combined daily output of the two countries to decrease by

Initial total production = Blankets = 70 and Meals = 90

Present total production = Blankets = 35 and Meals = 45

Difference in production= Blankets = 35 and Meals = 45

(Decline in production)/(Initial production)×100

For blankets → (35/70)×100 = 50 % decrease

For Meals → (45/90)×100 = 50 % decrease

Total decrease in daily output for the two countries = 50 %

4 0

3 years ago

Find the range of F<img src="https://tex.z-dn.net/?f=f%28x%29%3D%20%5Cfrac%7B2%7D%7Bx-7%7D%20" id="TexFormula1" title="f(x)= \fr

steposvetlana [31]

Answer: $y \in R; y \neq 0$
Explanation: For this, it is often best to find the horizontal asymptote, and then take limits as x approaches the vertical asymptote and the end behaviours.

Well, we know there will be a horizontal asymptote at y = 0, because as x approaches infinite and negative infinite, the graph will shrink down closer and closer to 0, but never touch it. We call this a horizontal asymptote.
So we know that there is a restriction on the y-axis.

Now, since we know the end behaviours, let's find the asymptotic behaviours.

As x approaches the asymptote of 7⁻, then y would be diverging out to negative infinite.
As x approaches the asymptote at 7⁺, then y would be diverging out to negative infinite.

So, our range would be: $y \in R; y \neq 0$

6 0

3 years ago

A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain us

amm1812

Answer:

Given:

Sham: n= 20, x=0.44, s=1.24,

Magnet:n= 20, x =0.49, s= 0.95

For Sham:

Sample size, n = 20

Sample mean = 0.44

Standard deviation = 1.24

For Magnet:

Sample size = 20

Sample mean = 0.49

Standard deviation = 0.95

The null and alternative hypotheses:

H0: s1²=s2²

H1: s1² ≠ s2²

a) To find the test statistics, use the formula:

$\frac{s1^2}{s2^2}$

$\frac{1.24^2}{0.95^2} = \frac{1.5376}{0.9025} = 1.7037$

Test statistics = 1.7037

b) P-value:

Sham: degrees of freedom $= n - 1 = 20 - 1 = 19$

Magnet: degrees of freedom $= n - 1 = 20 - 1 = 19$

The critical values:

[Za/2, df1, df2)], [(1 - Za/2), df1, df2]

$f[0.05/2, 19, 19], f[(1 - 0.05/2), 19, 19]$

$f[0.025, 19, 19], f[0.975, 19, 19]$

$(2.526, 0.3958)$

The rejection region:

Reject H0, if F < 0.3958 or if F > 2.526

c) Conclusion:

Since the critical values of test statistic is between (0.3958 < 1.7037 < 2.526), we fail to reject null hypothesis H0.

There is insufficient evidence to to support the claim that those given a sham treatment have reductions that vary more than those treated with magnets

3 0

2 years ago

Write an equation that represents the following word problem.

Genrish500 [490]

Answer:

Both would work.

Step-by-step explanation:

If we call Jackie's apples a, then Mark has a - 4 apples. Therefore, together they have a + (a - 4) apples, and we know that they have a total of 12 apples so we can write a + (a - 4) = 12 to represent the situation. On the other hand, if Mark has a apples, then Jackie has a + 4 apples, so we can also write a + (a + 4) = 12 to represent the situation as well. Therefore, both of the equations would work. Hope this helps!

8 0

2 years ago