What is the value of z in the equation 5z − 9 = 36? 4 5 6 9

Mathematics

2 answers:

stich3 [128]4 years ago

5 0

5z - 9 = 36

add 9 to both sides

5z - 9 + 9 = 36 + 9

5z = 45

divide both sides by 5

5z / 5 = 45 / 5

z = 9

Travka [436]4 years ago

4 0

First of all, move the known term (-9) at the left of the equal with changed sign.

5z = 36+9

5z = 45

Divide both terms by 5

5z/5 = 45/5

z = 9

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Answer:

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Step-by-step explanation:

Here, according to the question:

x: The total number of golf rounds played

y: Represents the amount, in dollars, left in his account after playing x rounds

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y = A - n x here n : rate of each round played

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if x = 2, then y = 280

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If x = 2 and y = 280, then:

y = A - n x ⇒ 280 = A - 2 n ... (1)

If x = 4 and y = 240, then:

y = A - n x ⇒ 240 = A - 4 n ... (2)

Solving (1) and (2) by (1) - (2), we get:

40 = 2 n or, n = 20

Putting n = 20 in 280 = A - 2 n, we get: A = 280 + 2(20) = 320

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3 years ago

A quality control specialist at a pencil manufacturer pulls a random sample of 45 pencils from the assembly line. The pencils ha

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Answer:

The P-value you would use to test the claim that the population mean of pencils produced in that factory have a mean length equal to 18.0 cm is 0.00736.

Step-by-step explanation:

We are given that a quality control specialist at a pencil manufacturer pulls a random sample of 45 pencils from the assembly line.

The pencils have a mean length of 17.9 cm. Given that the population standard deviation is 0.25 cm.

Let $\mu$ = population mean length of pencils produced in that factory.

So, Null Hypothesis, $H_0$ : $\mu$ = 18.0 cm {means that the population mean of pencils produced in that factory have a mean length equal to 18.0 cm}

Alternate Hypothesis, $H_A$ : $\mu\neq$ 18.0 cm {means that the population mean of pencils produced in that factory have a mean length different from 18.0 cm}