Four bagels and five muffins cost $9. Two bagels and ten muffins cost $15. How much does a bagel cost? How much does a muffin co

F(x) =6x- 4
X =8

Okay so you’re going to do 6 x 8 because x is being replaced by 8.
Now you have F(x) = 48-4.
We know 48-4 is 44 so you have

F(x) = 44. Now you’re going to replace the other X with 8. So you have
F8=44
The answer is C.

Answer: z=2.8

This is how I do!

Step-by-step explanation:

51-2z-8z=23

We simplify the equation to the form, which is simple to understand  

51-2z-8z=23

We move all terms containing z to the left and all other terms to the right.  

-2z-8z=+23-51

We simplify left and right side of the equation.  

-10z=-28

We divide both sides of the equation by -10 to get z.  

z=2.8

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

The average yearly earnings of male college graduates (with at least a bachelor's degree) are $58,000 for men aged 25 to 34. The average yearly earnings of female college graduates with the same qualifications are $49,339. based on the results below, can it be concluded that there is a difference in mean earnings between male and female college graduates? Use the 0.01 level of significance.

sample mean: men $59,235 women $52,487

population standard deviation: men 8,945 women 10,125

sample size: men 40 women 35

a. state hypothesis

b. find the critical value(s)

c. compute the test value

d. make the decision

e. summarize the results

Solution:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean yearly earnings of male college graduates and μ2 be the mean yearly earnings of female college graduates.

The random variable is μ1 - μ2 = difference in the mean average earnings between male and female graduates.

a) We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

This is a two tailed test.

b) Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 59235

x2 = 59487

s1 = 8945

s2 = 10125

n1 = 40

n2 = 35

t = (59235 - 59487)/√(8945²/40 + 10125²/35)

t = - 0.11

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [8945²/40 + 10125²/35]²/[(1/40 - 1)(8945²/40)² + (1/35 - 1)(10125²/35)²] = 24298427164944.27/354925314702.92865

df = 68

c) We would determine the probability value from the t test calculator. It becomes

p value = 0.91

d) Since alpha, 0.1 > than the p value, 0.91, then we would fail to reject the null hypothesis.

e) We can conclude that at 10% level of significance, there is no difference in mean earnings between male and female college graduates.

Answer:

Vital

Step-by-step explanation:

Plants, just like humans, require food in order to survive and grow. However, a plant’s food looks nothing like our food. Plants are the greatest consumer of solar energy, using power from the sun to mix up an energy rich meal. The process where plants make their own food is known as photosynthesis. Photosynthesis in plants is an extremely useful process whereby green plants take up carbon dioxide (a toxin) from the air and produce rich oxygen. Green plants are the only living thing on earth that are capable of converting the sun’s energy into food. Almost all living things are dependent upon the process of photosynthesis for life. Without plants, we would not have oxygen and the animals would have nothing to eat, and neither would we.

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Answer:

2x + y = - 5

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 2 and (a, b) = (- 1, - 3 ) , thus

y - (- 3) = - 2(x - (- 1)), that is

y + 3 = - 2(x + 1) ← distribute

y + 3 = - 2x - 2 ( add 2x to both sides )

2x + y + 3 = - 2 ( subtract 3 from both sides )

2x + y = - 5