3/4 divided by 1/3 = 3/4 * 3/1 = 9/4 = 2 1/4 <-------reason
Sun Yi can cut out 2 pieces.
Sun Yi will have 1/4 left.
Using the t-distribution, it is found that there is not enough evidence that the diet is helping people lose weight.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, it is tested if the mean hasn't decreased, that is:

.
.
Hence, for the distribution of differences, they are:
.
<h3>What is the test statistic and the decision?</h3>
The test statistic is:

In which
is the value tested at the null hypothesis.
Hence:


t = 0.85.
Considering a right-tailed test with 9 + 9 - 2 = 16 df, with a standard significance level of 0.05, the critical value is t = 1.7459. Since t = 0.85 < 0.85, there is not enough evidence that the diet is helping people lose weight.
More can be learned about the t-distribution at brainly.com/question/13873630
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The probability that it is less than 11.9 inches long will be 0.11304.
<h3>What is the z-score?</h3>
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
A manufacturer knows that their items have a normally distributed length, with a mean of 14.2 inches, and standard deviation of 1.9 inches.
If one item is chosen at random.
Then the probability that it is less than 11.9 inches long will be
Then the z-score will be
z = (11.9 – 14.2) / 1.9
z = –1.21
Then the probability will be
P(x < 11.9) = P(z < –1.21)
P(x < 11.9) = 0.11304
More about the z-score link is given below.
brainly.com/question/15016913
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Answer:
x=10
Step-by-step explanation:
x+ 5= 3x - 21 +6
x+5 = 3x - 15
20= 2x
Answer:
P = 3
Q = -4
R = 22
Step-by-step explanation:
Expand both sides and compare coefficients.
5Px^2 -PQx +10x -2Q = 15x^2 + Rx +8
Compare coefficients of x^2
5P = 15 => P = 3
Compare constant terms
-2Q = 8
Q = -4
Compare coefficients of x
-PQ + 10 = R
-(3)(-4) + 10 = R
R = 10 + 12 =22