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Marat540 [252]
3 years ago
6

What is 55 percent of 160?

Mathematics
1 answer:
Maurinko [17]3 years ago
8 0

Answer: 88

Step-by-step explanation: To find 55% of 160, first write 55% as a decimal by moving the decimal point two places to the left to get .55.

Next, the word "of" means multiply, so we have (.55) x (160).

(.55) (160) = 88

Therefore, 55% of 160 is 88.

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Solve the system by substitution: <br> 3x + 2y = 26<br> Y=x + 3
Orlov [11]

Answer:

x = 4

Step-by-step explanation:

3x + 2y = 26

y = x + 3

Plug in the equation for y

3x + 2(x + 3) = 26

Multiply the 2 with what is in the parantheses

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Combine like terms and solve for x

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3 years ago
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 436.0 gram setting. It
Vilka [71]

Answer:

We conclude that the machine is under filling the bags.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 436.0 gram

Sample mean, \bar{x} = 429.0 grams

Sample size, n = 40

Alpha, α = 0.05

Population standard deviation, σ = 23.0 grams

First, we design the null and the alternate hypothesis

H_{0}: \mu = 436.0\text{ grams}\\H_A: \mu < 436.0\text{ grams}

We use one-tailed(left) z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{429 - 436}{\frac{23}{\sqrt{40}} } = -1.92

Now, z_{critical} \text{ at 0.05 level of significance } = -1.64

Since,  

z_{stat} < z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.

8 0
3 years ago
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