A test statistic is a parameter used during a hypothesis
test to determine whether to accept or reject the null hypothesis. There are 2
test statistics, the z-score and t-score. The main difference is that the
t-score is used when sample size is not greater than 30. Therefore we will use
the t-score in this case.
The formula for t-score is:
t-score = (x – μ<span>) / (s / sqrt n) -----> equation 1</span>
Where,
x = sample mean = 10.1
μ =
population mean = 9.7
s = sample
standard deviation = 1.8
<span> n = sample size = 30</span>
Substituting
the given values in equation 1:
t-score =
(10.1 – 9.7) / (1.8 / sqrt(30))
t-score = 1.22
<span>Answer: The test statistic is 1.22.</span>
Answer: the ratio of gallons of blue paint to gallons of yellow paint that will make the same shade of green is 5/9
Step-by-step explanation:
The housepainter mixed 5 gallons of blue paint with every 9 gallons of yellow paint in order to make a green paint.
To determine the ratio of gallons of blue paint to gallons of yellow paint that will make the same shade of green, we will divide the gallons on blue paint required by the gallons of yellow paint required. It becomes
The ratio is 5/9 = 5:9
It means that for every 5 gallons of blue paint, 9 gallons of of yellow paint is required
Answer:
In math, equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.
Step-by-step explanation:
Answer:
Option (A)
Step-by-step explanation:
Measure of an angle formed between a chord and a secant is equal to the half of the difference of the intercepted arcs.
m(∠FEC) = ![\frac{1}{2}[m(\text{arc FC})-m(\text{arc})FD]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Bm%28%5Ctext%7Barc%20FC%7D%29-m%28%5Ctext%7Barc%7D%29FD%5D)
(15 + 6x)° = ![\frac{1}{2}[(24x - 6)^{\circ}-(9+7x)^{\circ}]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%2824x%20-%206%29%5E%7B%5Ccirc%7D-%289%2B7x%29%5E%7B%5Ccirc%7D%5D)
30 + 12x = (24x - 7x) - (6 + 9)
30 + 12x = 17x - 15
17x - 12x = 30 + 15
5x = 45
x = 9
m(∠FED) = (15 + 6x)
= 15 + 6(9)
= 69°
Option (A) will be the correct option.
