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3 years ago

“Write an equation in slope-intercept form for the line with slope 3/2 and y-intercept -7.”

Mathematics

1 answer:

gregori [183]3 years ago

6 0

Answer:

y = 3/2x - 7

Step-by-step explanation:

slope-intercept: y = mx + b

m = slope (3/2)

b = y-intercept (-7)

when put together, the equation is y = 3/2x - 7.

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Boxes of raisins are labeled as containing 22 ounces. Following are the weights, in the ounces, of a sample of 12 boxes. It is r

ZanzabumX [31]

Answer:

A 90% confidence interval for the mean weight is [21.78 ounces, 21.98 ounces].

Step-by-step explanation:

We are given the weights, in the ounces, of a sample of 12 boxes below;

Weights (X): 21.88, 21.76, 22.14, 21.63, 21.81, 22.12, 21.97, 21.57, 21.75, 21.96, 22.20, 21.80.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean weight = $\frac{\sum X}{n}$ = 21.88 ounces

s = sample standard deviation = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$ = 0.201 ounces

n = sample of boxes = 12

$\mu$ = population mean weight

Here for constructing a 90% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, 90% confidence interval for the population mean, $\mu$ is ;

P(-1.796 < $t_1_1$ < 1.796) = 0.90 {As the critical value of t at 11 degrees of

freedom are -1.796 & 1.796 with P = 5%}

P(-1.796 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 1.796) = 0.90

P( $-1.796 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.796 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

P( $\bar X-1.796 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.796 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

90% confidence interval for $\mu$ = [ $\bar X-1.796 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+1.796 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $21.88-1.796 \times {\frac{0.201}{\sqrt{12} } }$ , $21.88+1.796 \times {\frac{0.201}{\sqrt{12} } }$ ]

= [21.78, 21.98]

Therefore, a 90% confidence interval for the mean weight is [21.78 ounces, 21.98 ounces].

8 0

3 years ago

Rationalize the denominator in the expression. <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B%5Csqrt%7B2%7D%20%7D%20

Dovator [93]

Answer:

2 $\sqrt{2}$

Step-by-step explanation:

See the photo for the steps. :)

7 0

3 years ago

Which equation is NOT a linear function?

Stells [14]

Answer:

y=x^2-2

Step-by-step explanation:

It should be this one because if you have x squared it will be a parabola. A line should have a consistent slope. so Somethingx + y intercept =y

6 0

3 years ago

the store sells glittery string at $.95 per inch and plastic covering for $.60 per square inch. Luckily, the store charges no ta

11111nata11111 [884]

Answer:

Step-by-step explanation:

Multiply 0.60 with 43

Multiply 0.95 with 25

You will get $49.55 which is below $50

5 0

3 years ago

Thank you I will Mark brainlist solve for M 8m+95 < -87m + 5

posledela

Answer:

The answer should be x < $\frac{-18}{19}$

Step-by-step explanation:

4 0

3 years ago