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AleksAgata [21]
3 years ago
6

Describe transformation given by (x,y) (x, y + 2)

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
4 0

Answer:

This graph has been translated. Translation is when the image on the graph has been shifted along one or both of the axis. In this case, the graph has been shifted up two units as shown by the operation of addition on the y-value. Remember that translations are rigid movements, so the new image will be congruent to the pre-image.

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A survey found that​ women's heights are normally distributed with mean 63.3 in. and standard deviation 2.7 in. The survey also
mylen [45]

Answer:

A) There is a 100% chance of meeting the height requirement for women.

B) There is a 99.89% chance of meeting the height requirement for men.

C) New height requirements are:

71.9 inches for men and 58.9 inches minimum for women.

At least 58.9 inches and at most 71.9 inches.

Step-by-step explanation:

This question involves finding z values which tell us the percentage from 0 to x.

z = (x-μ)/σ

A) In this question, the minimum sample point is 4 ft 9 inches or converting to inches, we have;(4*12) + 9 =57 inches.

The maximum sample point is 6 ft 4 inches which in inches gives; (6*12) + 4 = 76 inches

For the minimum point;

z = (57 - 63.3)/2.7 = -2.33

From the z-distribution table, this equates to 0.0099.

The maximum;

z = (76 - 63.3)/2.7 = 4.70

From the z-table, it gives 0.999.. Basically 100%.

So there is a 100% chance of meeting the height requirement for women.

B) For men;

the minimum z = (57 - 67.3)/2.8 = -3.68 which gives 0.00012 from the z-distribution table.

The maximum;

z = (76 - 67.3)/2.8 = 3.07 which gives 0.9989 from the z-distribution table. Basically, 99.89%.

So there is a 99.89% chance of meeting the height requirement for men.

C) To exclude the tallest 5% of men, we need to find the z-value for 0.95 and then solve for x.

Thus from the z-table, z = 1.65. So;

1.645 = (x - 67.3)/2.8

4.606 = x - 67.3

x = 67.3 + 4.606

x ≈ 71.9 inches for men.

So, Current minimum is okay.

To exclude the shortest 5% of women, we need to find the z for 0.05.

From the z-distribution table, it has a value of -1.645. So;

-1.645 = (x - 63.3)/2.7

-4.4415 = x - 63.3

x = 63.3 - 4.4415

x ≈ 58.9 inches minimum.

So, Current maximum is okay.

5 0
3 years ago
the area of a square garden is 267 ft^2 what is the side length of each side? round your answer to the nearest hundredth place.
aksik [14]

Answer:

  • Side Length=16.34 ft
  • No

Step-by-step explanation:

The area of the square garden=267$ ft^2

Area of a Square of Side length s =s^2

Therefore:

s^2=267$ ft^2\\$Take the square root of both sides\\s=\sqrt{267} \\$Side Lenght, s=16.34 ft (to the nearest hundredth place)

<u>Perimeter</u>

Perimeter of a Square of Side length s=4s

Therefore, the perimeter of the garden =4*16.34=65.36 ft

Since 65 ft < 65.36 ft

Therefore, if you had 65 ft of fencing, it will not be enough to go around and cover the garden.

5 0
3 years ago
Find the value of x. I WILL GIVE YOU BRAINLIEST!!!!​
Elan Coil [88]

Hi there!

\large\boxed{x = 40}

We can solve for x knowing that the sum of interior angles in a triangle is 180°.

The square at the bottom indicates a right angle, or 90°. Therefore:

180 = 90 + x + (x + 10)

Combine like terms:

180 = 100 + 2x

Subtract 100 from both sides:

180 - 100 = 2x

80 = 2x

Divide both sides by 2:

x = 40.

5 0
3 years ago
Read 2 more answers
EASY MATH QUESTION <br><br> NEED HEP
Radda [10]

Answer:

f(-3)= 19

Step-by-step explanation:

you have to use substitution. Every time that you see an x, plug it in for a -3

f(x)= -5x+4

f(-3)= -5(-3)+4

f(-3)= 19

6 0
3 years ago
Read 2 more answers
A construction crew is lengthening a road. The road started with a length of 51 miles, and the crew is adding 2 miles to the roa
nikitadnepr [17]

Answer:

Total length after 33 days will be 117 miles

Step-by-step explanation:

A construction crew is lengthening a road. The road started with a length of 51 miles.

Average addition of the road is = 2 miles per day

Let the number of days crew has worked are D and length of the road is L, then length of the road can represented by the equation

L = 2D + 51

If the number of days worked by the crew is = 33 days

Then total length of the road will be L = 2×33 + 51

L = 66 + 51

L = 117 miles

Total length of the road after 33 days of the construction will be 117 miles.

5 0
3 years ago
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