Answer:
The test statistic (z-score) of this one-mean hypothesis test is z=1.823.
Step-by-step explanation:
The null and alternative hypothesis are:

The significance level is 0.05.
The sample size is n=22.
The sample mean is M=157.
The standard deviation is 18.
The z-score can be calculated as:

The test statistic (z-score) of this one-mean hypothesis test is z=1.823.
Answer:
RO = 17.9
Step-by-step explanation:
If they're similar, the fraction between their sides need to be equal, so do this:
NK/NM = RO/RQ
71.6/64 = RO/16
71.6•16/64 = RO
RO = 17.9
We set up a proportion: 24/?= 60/100
Cross multiply: 60*?= 24*100
⇒ ?= 24*100/60= 40
Dallas earned $40~
Answer:
The answer is below
Step-by-step explanation:
From the image attached we can see that the width of the garden is 6 ft. The length of the garden is the slanting side of the triangle (hypotenuse).
Let x be the length of the garden. The height of the triangle = 40 ft - 15 ft = 25 ft.
The base of the triangle = 80 ft - 75 ft = 5 ft.
The length of the garden is gotten using Pythagoras:
x² = 25² + 5²
x² = 650
x = 25.5 ft.
The area of the garden = length * width = 25.5 * 6 = 153 ft²
Hence the approximate area = 160 ft²
C - remember the vertical line test determines if something is a function. A function has 1 x value for 1 y value. A B and D have more than one y value for a given x value.