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Varvara68 [4.7K]
3 years ago
8

Find the indicated critical z value. Find zα/2 for α = 0.08

Mathematics
1 answer:
snow_lady [41]3 years ago
6 0
Refer to the diagram shown below.
The value of z that yields the expected central area takes into account the excluded areas at both tails.

Half the tail area is α/2 = 0.08/2 = 0.04.
The central area is 1 - 0.04 - 0.04 = 0.92.

From standard normal tables, obtain
z(α/2) = 1.75

Answer: 1.75

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Solve: 1. 1/6y− 1/2 =3− 1/2y 2. 4x+1/15 = 2x/10
kogti [31]

<u>Answer:</u>

<em>First Equation → </em><u><em>y = 21/4</em></u>

<em>Second Equation → </em><u><em>x = -1/57</em></u>

<u />

<u>Explanation:</u>

<em>solving equation #1</em>

<em></em>

step 1 - simplify

<em></em>

\displaystyle\frac{1}{6}y - \displaystyle\frac{1}{2} = 3 - \displaystyle\frac{1}{2}y\\\\\displaystyle\frac{1}{6}* \displaystyle\frac{y}{1}  - \displaystyle\frac{1}{2} = 3 - \displaystyle\frac{1}{2}* \displaystyle\frac{y}{1}\\\\\displaystyle\frac{y}{6} - \displaystyle\frac{1}{2} = 3 - \displaystyle\frac{y}{2}

step 3 - multiply each side of the equation by six

\displaystyle\frac{y}{6} - \displaystyle\frac{1}{2} = 3 - \displaystyle\frac{y}{2}\\\\\displaystyle\frac{y}{6} * \displaystyle\frac{6}{1}- \displaystyle\frac{1}{2} * \displaystyle\frac{6}{1}= \displaystyle\frac{3}{1} *\displaystyle\frac{6}{1} - \displaystyle\frac{y}{2}* \displaystyle\frac{6}{1}\\\\y - 3 = 18 - 3y

step 4 - add three to both sides of the equation.

y - 3 = 18 - 3y\\\\y-3+3=18+3-3y\\\\y = -3y+21

step 5 - add three y to both sides of the equation.

y = -3y+21\\\\y+3y = -3y+3y+21\\\\y+3y=21

step 6 - simplify

y+3y=21\\\\4y=21

step 7 - divide both sides of the equation by four

4y=21\\\\\displaystyle\frac{4y}{4} = \displaystyle\frac{21}{4}\\ \\y = \displaystyle\frac{21}{4}

Therefore, the solution to the first given equation is <u><em>y = 21/4 </em></u><em>or y = 5.25.</em>

<u><em /></u>

<em>solving equation #2</em>

<em />

step 1 - simplify.

4x + \displaystyle\frac{1}{15}  = \displaystyle\frac{2x}{10} \\\\4x + \displaystyle\frac{1}{15}  = 2*\displaystyle\frac{x}{10}\\\\4x+\displaystyle\frac{1}{15}  = \displaystyle\frac{x}{5}

step 2 - multiply each side of the equation by five.

4x+\displaystyle\frac{1}{15}  = \displaystyle\frac{x}{5}\\\\\displaystyle\frac{4x}{1}* \displaystyle\frac{5}{1}  +\displaystyle\frac{1}{15} * \displaystyle\frac{5}{1}  = \displaystyle\frac{x}{5}* \displaystyle\frac{5}{1} \\\\20x + \displaystyle\frac{1}{3} = x

step 3 - subtract twenty x from each side of the equation.

20x + \displaystyle\frac{1}{3} = x \\\\20x -20x+ \displaystyle\frac{1}{3} = x -20x\\\\\displaystyle\frac{1}{3} = -19x

step 4 - divide each side of the equation by negative nineteen.

\displaystyle\frac{1}{3} = -19x\\\\\displaystyle\frac{\displaystyle\frac{1}{3} }{-19} = \displaystyle\frac{-19x}{-19} \\\\-\displaystyle\frac{1}{57} = x

step 5 - switch

-\displaystyle\frac{1}{57}  =x\\\\x = -\displaystyle\frac{1}{57}

Therefore, the solution to the second equation is <em><u>x = -1/57.</u></em>

5 0
3 years ago
A weather station on the top of a mountain reports that the temperature is currently 0 ∘ C and has been falling at a constant ra
LuckyWell [14K]

Answer:

After 2 hours: -6°C.

After 5 hours: -15°C.

After \frac{1}{2} hours: -1.5°C

1 hour ago: 3°C.

3 hours ago: 9°C.

4.5 hours ago: 13.5°C.

To find these values, you simply need to multiply the hours elapsed by 3°C. Subtract from 0°C for future temperatures, and ADD to 0°C for the past.

Let's say you are solving for the temperature in 5 hours. All you need to do is:

3°C× 5= 15°C. 0°C-15°C= -15°C

For the temperature 3 hours AGO, what you will need to do instead is:

3°C×3= 9°C. 0°C+ 9°C= 9°C.

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Write a function rule for the table
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The correct answer is B.

Find the slope using the formula m= y2-y1 / x2-x1. You will get 11.50/2, which is p = $5.75 per hour.
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What is the formula you use to measure the entire length of a diagonal
zheka24 [161]

Answer:

Pythagorean theorem

Step-by-step explanation

a^2+b^2=c^2

8 0
2 years ago
I don't know how to do this please help
AveGali [126]
5z>15-----subtract 2 on both sides
z>3----divide by 5
therefore, z must equal -10, or -4
8 0
3 years ago
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