Alpha look at these rolexs
1 answer:
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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.
Answer:
250.34 feet
Step-by-step explanation:
Find attached to this answer and appropriate diagram.
From this question, we can see that this is a trigonometric function
The height of the radio tower = 225 feet = Opposite side
θ = Angle 64°
In the question we are told to find the length of the wire needed to reach from the top of the tower to the ground.
From the attached diagram, we can see that that is equivalent to finding the hypotenuse.
Hence, we are using the Trigonometric function of Sine.
sin θ = Opposite side/ Hypotenuse side
sin 64 = 225 feet/ Hypotenuse
Cross multiply
sin 64 × Hypotenuse = 225 feet
Divide both sides by sin 64
Hypotenuse = 225 feet / sin 64
Hypotenuse = 250.33543661 feet
Approximately = 250.34 feet
Therefore, the length of the wire needed to reach from the top of the tower to the ground is 513.3 feet.
