Find the greatest common factor of 6y^3 and 10n^2

At Otto’s egg farm, Otto has found that when he charges $0.05 per egg, he sell so many eggs that he cannot keep up with the dema

PilotLPTM [1.2K]

Answer:

a) P(c) = xc² + yc + z, and P(.15) = $124, P(.05) = 0, P(.17) = 0. Thus:

(#1) .0225x + .15y + z = 124

(#2) .0025x + .05y + z = 0

(#3) .0289x + .17y + z = 0

Subtracting #2 from #3: (#4) .0264x + .12y = 0

Subtracting #2 from #3: (#5) .02x + .1y = 124

Subtracting 1.2×#5 from #4: .0024x = -148.8 → x= -62000

Using this value of x in #5: -1240 + .1y = 124 → y = 13640

Using x and y in #1: -1395 + 2046 + z = 124 → z = -527

P(c) = -62000c² + 13640c - 527

b) To find the maximum of P(c), find a such that P'(a) = 0

-124000c + 13640 = 0

c = .11

At this price, his profit would be $223.20

3 0

3 years ago

Assume a random sample of size n is from a normal population. Assume a single sample t test is used to for hypothesis testing. T

valentinak56 [21]

Answer:

True

Step-by-step explanation:

Type I and Type II are not independent of each other - as one increases, the other decreases.

However, increases in N cause both to decrease, since sampling error is reduced.

A small sample size might lead to frequent Type II errors, i.e. it could be that your (alternative) hypotheses are right, but because your sample is so small, you fail to reject the null even though you should.

5 0

3 years ago

Solve: x + 1 < 5<br>Me confused and need help

natita [175]

Answer: x < 4

Step-by-step explanation: You are trying to isolate the variable, x, so you have to subtract 1 on both sides of the inequality. Then, you are left with x < 4.

4 0

3 years ago

Restaurateur Denny Valentine is evaluating two sites, Raymondville and Rosenberg, for his next restaurant. He wants to prove tha

Aleksandr-060686 [28]

Answer:

$\bar X_1$ represent the sample for the sample 1

$\bar X_2$ represent the sample for the sample 2

$s_1$ represent the deviation for the sample 1

$s_2$ represent the deviation for the sample 2

$n_1 = 81$ represent the sample size for the group 1

$n_2 = 81$ represent the sample size for the group 2

And on this case if we create the system of hypothesis we have this:

Null hypothesis : $\mu_1 -\mu_2 \leq 0$

Alternative hypothesis: $\mu_1 -\mu_2 >0$

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

On this caseHe wants to prove that Raymondville residents (population 1) dine out more often than Rosenberg residents (population 2). So this statement need to be on the alternative hypothesis. And the complement of the alternative hypothesis would be on the null hypothesis.

Solution to the problem

We assume that we have the following statistics:

$\bar X_1$ represent the sample for the sample 1

$\bar X_2$ represent the sample for the sample 2

$s_1$ represent the deviation for the sample 1

$s_2$ represent the deviation for the sample 2

$n_1 = 81$ represent the sample size for the group 1

$n_2 = 81$ represent the sample size for the group 2

And on this case if we create the system of hypothesis we have this:

Null hypothesis : $\mu_1 -\mu_2 \leq 0$

Alternative hypothesis: $\mu_1 -\mu_2 >0$

5 0

4 years ago

In a sequence described by a function, what does the notation f(3)=1 mean

vladimir2022 [97]

X = 3
Y = 1

f(3)=1
X Y

5 0

3 years ago

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