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We have that The height changing rate when the length of the base is 2 cm
From the question we are told
The diagonal of a rectangle, with base x, remains at a fixed value of 3cm. If the base is increasing at a rate of 8 cm/s. at what rate is the height changing when the length of the base is 2 cm?
Generally the Pythagoras equation for the triangle is mathematically given
as
With r=3
Therefore
dx/dt=8cm/s
Hence
We have
Therefore
The height changing rate when the length of the base is 2 cm
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Answer:
The value of test statistics is 25.
Step-by-step explanation:
We are given below the SAT reading and writing section scores of a random sample of twenty 11th-grade students in a certain high school;
380, 520, 480, 510, 560, 630, 670, 490, 500, 550, 400, 350, 440, 490, 620, 660, 700, 730, 740, 560
<em>Let </em><em> = population standard of the reading and writing section SAT score of the students in this school</em>
So, Null Hypothesis, :
100 {means that the reading and writing section SAT score of the students in this school is lesser than or equal to 100}
Alternate Hypothesis, :
<em> </em>> 100 {means that the reading and writing section SAT score of the students in this school is higher than 100}
The test statistics that would be used here is <u>One-sample Chi-square</u> test statistics;
T.S. = ~
where, = sample variance =
= 13135.8
n = sample of 11th-grade students = 20
So, <u><em>the test statistics</em></u> =
= 24.96 ≈ 25
Hence, the value of test statistics is 25.