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3 years ago

12

HEY THERE! PLEASE ANSWER THE MATH QUESTION IN THE PHOTO! THE CORRECT ANSWER SHALL BE MARKED AS BRAINLIEST AND I WILL FOLLOW YOU(

you will aslo get extra points)
THANKS! XOXO

1 answer:

ella [17]3 years ago

7 0

Answer:

a) x = 7.5

b) x = 1

Step-by-step explanation:

a)

(4x - 1)/2 = x + 7
4x - 1 = 2(x + 7)
4x - 1 = 2x + 14
2x = 15
x = 15/2 or 7.5

b)

3x + 2 = (2x +13)/3
3(3x + 2) = 2x + 13
9x + 6 = 2x +13
7x = 7
x = 1

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3 years ago

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3 years ago

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kvasek [131]

Answer:

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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> $\sigma$ <em> = population standard of the reading and writing section SAT score of the students in this school</em>

So, Null Hypothesis, $H_0$ : $\sigma \leq$ 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, $H_A$ : $\sigma$ <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. = $\frac{(n-1)s^{2} }{\sigma^{2} }$ ~ $\chi^{2} __n_-_1$

where, $s^{2}$ = sample variance = $\frac{\sum (X-\bar X)^{2} }{n-1}$ = 13135.8

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So, <u><em>the test statistics</em></u> = $\frac{(20-1)\times 13135.8^{2} }{100^{2} }$

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Hence, the value of test statistics is 25.

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3 years ago