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3 years ago

If you multiply an inequality by a positive number _____.

Mathematics

2 answers:

olga nikolaevna [1]3 years ago

7 0

Keep the inequality sign the same

lana [24]3 years ago

7 0

Answer: If you multiply an inequality by a positive number keep the inequality sign the same

Explanation: There are certain rules that should be kept in mind while solving the inequality:

1. When a number is added or subtracted from each side of an inequality the direction of the inequality does not change

2. When each side of an inequality is multiplied or divided by a positive number the direction of the inequality does not change

3. When each side of an inequality is multiplied or divided by a negative number the direction of the inequality does change

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An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre

Shtirlitz [24]

Answer:

Null Hypothesis, $H_0$ : $\mu \leq$ 250 W

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let $\mu$ = mean power consumption of microwave ovens.

So, Null Hypothesis, $H_0$ : $\mu \leq$ 250 W

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W

Here, null hypothesis states that the mean power consumption of microwave ovens is no more than 250 W.

On the other hand, alternate hypothesis sates that the mean power consumption of microwave ovens is more than 250 W.

The test statistics that would be used here is One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

Hence, this would be the appropriate hypotheses to determine if the manufacturer's claim appears reasonable.

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3 years ago

The perimeter of a rectangle is 40 m. The length is 2 m more than two times the width. Find the length and the width of the rect

RideAnS [48]

Answer:

Length is 14

Width is 6

Step-by-step explanation:

Length = 2W + 2

Width = W

Perimeter is twice the length + twice the width

P = 40 = 2(2W+2) + 2W first simplify

40 = 4W + 4 + 2W now combine terms

40 = 6W + 4 and subtract 4 from both sides

36 = 6W

Width W = 6

Length = 2W + 2 = 12 + 2 = 14

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it should be 271.94

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

QR and PS

Step-by-step explanation:

Those lines will never touch.

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2 years ago