Answer:
We conclude that there is no change in the average weight since the implementation of a new breakfast and lunch program at the school.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 100 pounds
Sample mean, = 98 pounds
Sample size, n = 35
Alpha, α = 0.05
Population standard deviation, σ = 7.5 pounds
First, we design the null and the alternate hypothesis
We use one-tailed(left) z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
We calculate the p-value with the help of standard normal table.
P-value = 0.057398
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept is.
We conclude that there is no change in the average weight since the implementation of a new breakfast and lunch program at the school.
6x and -6x cancel each other out.
You are left with -1y=6
Therefore, y=-6
6x-4(-6)=6
6x+24=6
Subtract 24 from both sides.
6x=-18
Divide both sides by 6
X=-3
Final answers: x=-3 y=-6
Answer:
i. Minimum is 343 square feet
ii. Maximum is 360 square feet
Step-by-step explanation:
The dimension of the rectangular garden plot is 12 feet by 28.6 feet.
1. The minimum possible area can be determined by;
area of a rectangle = length x width
= 28.6 x 12
= 343.2
The minimum possible area is about 343 square feet.
2. The maximum value can be determined by;
28.6 ≅ 30.0 (1 sf)
area of a rectangle = length x width
= 30 x 12
= 360
The maximum possible area is about 360 square feet.
Answer:
4
Step-by-step explanation:
the third angle of the inner triangle is defined by using the rule that the sum of all angles in a triangle must be 180 degrees. let's call this angle a
180 = 48 + 16x + a
132 - 16x = a
and then we know that both angles, 28x and a together must also be 180, as they are complementing each other to cover the whole top of the base line.
so,
28x + 132 - 16x = 180
12x = 48
x = 4
Answer:
false
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
original dimensions / scale of the drawing = dimensions of the scale drawing
To scale an image, divide the original length by the scale
for example the length of the image is 100 and the scale factor is 4
the length of the scale copy = 100/4 = 25