What are the roots of a quadratic equation?

a rectangle with the width of 6cm and length of 10cm is dilated by a scale factor of 5. what is the area and perimeter of the ne

Ivenika [448]

Answer:

The area is 1500.

The perimeter is 160.

I'm not sure if this answer is correct, but I hope so.

4 0

3 years ago

In an agricultural study, the average amount of corn yield is normally distributed with a mean of 185.2 bushels of corn per acre

RideAnS [48]

Answer: B. 461 acres

Step-by-step explanation:

Given : In an agricultural study, the average amount of corn yield is normally distributed with a mean of 185.2 bushels of corn per acre, with a standard deviation of 23.5 bushels of corn.

i.e. $\mu=185.2\ \ , \ \sigma=23.5$

Let x denotes the amount of corn yield.

Now, the probability that the amount of corn yield is more than 190 bushels of corn per acre.

$P(x>190)=P(\dfrac{x-\mu}{\sigma}>\dfrac{190-185.2}{23.5})$

[Formula : $z=\dfrac{x-\mu}{\sigma}$ ]

$=P(z>0.2043)=1-P(z$ [∵ P(Z>z)=1-P(Z<z)]

$1-0.5809405$ [using z-value calculator or table]

$=0.4190595$

Now, If a study included 1100 acres then the expected number to yield more than 190 bushels of corn per acre :-

$0.4190595\times1100=460.96545\approx461\text{ acres}$

hence, the correct answer is B. 461 acres .

8 0

3 years ago

A home gardener estimates that 18 apple trees will produce an average yield of 80 apples per tree. But because of the size of th

aliina [53]

19 trees should be planted to maximize the total

<h3>How many trees should be planted to maximize the total</h3>

From the question, we have the following parameters:

Number of apples, x = 18

Yield, f(x) = 80 per tree

When the number of apple trees is increased (say by x).

We have:

Trees = 18 + x

The yield decreases by four apples per tree.

So, we have

Yield = 80 - 4x

So, the profit function is

P(x) = Apples * Yield

This gives

P(x) = (18 + x) *(80 - 4x)

Expand the bracket

P(x) = 1440 - 72x + 80x - 4x^2

Differentiate the function

P'(x) = 0 - 72 + 80 - 8x

Evaluate the like terms

P'(x) = 8 - 8x

Set P'(x) to 0

8 - 8x = 0

Divide through by 8

1 - x = 0

Solve for x

x = 1

Recall that:

Trees = 18 + x

So, we have

Trees = 18 + 1

Evaluate

Trees = 19

Hence, 19 trees should be planted to maximize the total

Read more about quadratic functions at:

brainly.com/question/12120831

#SPJ1

4 0

1 year ago

Doune Punowing:

nataly862011 [7]

The length of pathway is 10 inches on map.

Step-by-step explanation:

Given,

Total distance = 350 miles

According to map,

1 inch = 35 miles

Let, x be the number of inches on map.

Therefore, using proportion;

Inch : mile :: inch : mile

$1:35::x:350\\$

Product of mean = Product of extreme

$35*x=350*1\\35x=350\\$

Dividing both sides by 35;

$\frac{35x}{35}=\frac{350}{35}\\x=10$

The length of pathway is 10 inches on map.

Keywords: Ratio, proportion

Learn more about proportions at:

#LearnwithBrainly

8 0

3 years ago

You are comparing to wireless services. Verizon changes $35 a month and $5 per gigabyte of data.

ikadub [295]

A) Gigabytes = x
B) 35+5x = 25+10x
10 = 5x
2 = x
C) After 2 gigabytes, the wireless services will cost the same ($45)

7 0

3 years ago