The function h(x) is given below.

A cleaning solution can be made by mixing 2 cups of bleach with 5 gallons of water. How many cups of bleach are used per gallon?

notka56 [123]

there would be .4 cups per gallon

3 0

2 years ago

Read 2 more answers

A random sample of 8 recent college graduates found that starting salaries for architects in New York City had a mean of $42,653

ycow [4]

Answer:

C. (36337.32, 48968.68)

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{9114}{\sqrt{8}} = 6315.68$

The lower end of the interval is the sample mean subtracted by M. So it is 42653 - 6315.68 = 36337.32.

The upper end of the interval is the sample mean added to M. So it is 42653 + 6315.68 = 48968.68.

So the correct answer is:

C. (36337.32, 48968.68)

3 0

2 years ago

This is the new update of the question

anzhelika [568]

Answer:

d

Step-by-step explanation:

If x represents the slant height, the graph would be a straight line.

If x represents the radius, the graph would be a parabola.

Looking at the answers, we're looking for x to be the slant height, so we're looking for a straight line.

We are looking for g(x). Answers a and b are wrong.

In g(x) r is fixed to 5 (this is given). So the slant height in the smallest possible cone would still be at least 5.

So the domain is x > 5.

d is your answer.

8 0

3 years ago

Read 2 more answers

Teacher has 56 baseball cards and receives 12 new cards per month another teacher has 80 baseball cards and received 8 new card

Vika [28.1K]

Answer: what am I suppose to do with that?

Step-by-step explanation:

6 0

2 years ago

walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts p

laila [671]

Answer:

5 trees should be planted to maximize the yield per acre,

The maximum yield would be 1250

Step-by-step explanation:

Given,

The original number of trees per acre = 20,

Average pounds of nuts by a tree = 60,

Let x be the times of increment in number of trees,

So, the new number of trees planted per acre = 20 + x

∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,

So, the new number of pounds of nut = (60 - 2x)

Thus, the total yield per acre,

$Y(x) = (20+x)(60-2x)$

Differentiating with respect to t ( time ),

$Y'(x) = (20+x)(-2) + 60 - 2x = -40 - 2x + 60 - 2x = 20 - 4x$

Again differentiating with respect to t,

$Y''(x) = -4$

For maxima or minima,

$Y'(x) = 0$

⇒ 20 - 4x = 0

⇒ 20 = 4x

⇒ x = 5,

For x = 5, Y''(x) = negative,

Hence, Y(x) is maximum for x = 5,

And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,

i.e. 5 trees should be planted to maximize the yield per acre,

and the maximum yield would be 1250 pounds

4 0

2 years ago