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Snowcat [4.5K]
3 years ago
13

It is claimed that in a bushel of peaches less than ten percent are defective. a sample of 400 peaches is examined and 50 are fo

und to be defective. what is the alternate hypothesis for a one-sided test
Mathematics
1 answer:
dlinn [17]3 years ago
7 0
You can just check every peach untill you sort them through so 50

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A trapezoid was broken into two congruent triangles and a rectangle. A trapezoid is broken into 2 triangles and 1 rectangle. The
Naddika [18.5K]

complete question:

The picture below is the complete question.

Answer:

base of the triangles = 3 cm

Step-by-step explanation:

The trapezoid was broken into 2 congruent triangles and a rectangle. The 2 triangle have a height of 12 cm . The rectangle has a height of 12 cm and width of 14 cm .

The base length of the triangle can be computed as follows.

Note a congruent triangle have exactly the same three sides and exactly the same three angles.

area of a triangle = 1/2 × base × height

From the area of the trapezoid one can calculate the sides of the triangle.

area of the trapezoid = 1/2 × (a + b)h

where

a = top side

b = base side

h = height

area of the trapezoid = 1/2 × (a + b)h

area of the trapezoid = 1/2 × (14 + 20)12

area of the trapezoid = 1/2 × 34 × 12

area of the trapezoid = 34 × 6

area of the trapezoid = 204 cm²

204 = area of the triangles + area of the rectangle

204 =2 (1/2bh) + lw

where

b = base of triangle

h = height of triangle

l = length of rectangle

w = width of rectangle

204 = bh + (14 × 12)

204 = 12b + 168

12b = 204 - 168

12b = 36

divide both sides by 12

b = 36/12

b = 3 cm

base of the triangles = 3 cm

 

3 0
3 years ago
Dilate line f by a scale factor of 2 with the center of dilation at the origin to create line f'. Where are points A' and B' loc
miss Akunina [59]

Answer:

Option (1).

Step-by-step explanation:

Given question is incomplete: find the complete question in the attachment.

From the given figure, coordinates of the points A and B are (0, 2) and (2, 0) respectively.

Slope of line AB = \frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}

                      m_{1}=\frac{2-0}{0-2}=-1

When these points are dilated by a scale factor = 2, about the origin

Rule for the dilation → (x, y) → (kx, ky)

Where k = scale factor

Coordinates of the points A' and B' will be (0, 4) and (4, 0)

Slope of the line A'B' = \frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}

                             m_{2}=\frac{4-0}{0-4}=-1

Since m_{1}=m_{2} , both the lines AB and A'B' will be parallel.

Therefore, option (1) will be the answer.

4 0
3 years ago
Read 2 more answers
2.5 gallons = how many cups
Allisa [31]

2.5 gallon = 40 cups

<span>There is gallon 1 = 16 cup</span>

<span>So 16 times  2.5 is 40</span>



Hope to help<span>:D
</span>

5 0
4 years ago
Part A
Firlakuza [10]

Since all sectors have the same area, the spinner is equaly likely to land on each of them. There are:

  • 3 yellow sectors
  • 3 red sectors
  • 4 green sectors
  • 1 blue sector

Obviously, this implies that there are 11 sectors in total.

So, the spinner will land on a certain color with probability

p=\dfrac{\text{\# of sectors for that color}}{\text{11}}

Use this formula to deduce the probability of green.

Finally, you can multiply the probability of red by 11 to get the expected number of reds in 11 spins.

6 0
4 years ago
Identify the coordinates of four points on the line with each given slope and y-intercept. slope = 2/3 and y-intercept = -5.....
alexdok [17]

The linear equation is y = (2/3)*x - 5, and the 4 points in the graph are:

{ (-1, -17/3),  (0, -5), (1, -13/3),  (2, -11/3)}

<h3>How to identify the points on the line?</h3>

A linear equation written in the slope-intercept form is:

y = a*x + b

Where a is the slope and b is the y-intercept.

In this case, we have:

a = 2/3

b = -5

So our line is:

y = (2/3)*x - 5

To find the points, we need to evaluate the line in 4 different values of x.

We will use: x = -1, 0, 1, 2.

for x = -1 we have:

y = (2/3)*-1 - 5 = -2/3 - 5 = -17/3

So this gives the point (-1, -17/3).

for x = 0 we have:

y = (2/3)*0 - 5 = -5

So this gives the point (0, -5).

for x = 1 we have:

y = (2/3)*1 - 5  = -13/3

So this gives the point (1, -13/3).

for x = 2 we have:

y = (2/3)*2 - 5 = 4/3 - 15/3 = -11/3

So this gives the point (2, -11/3).

Then the 4 points are:

{ (-1, -17/3),  (0, -5), (1, -13/3),  (2, -11/3)}

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

7 0
2 years ago
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