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3 years ago

Which expression is equivalent to -1?

Mathematics

1 answer:

creativ13 [48]3 years ago

7 0

Hello,
Answer B

If x≠y then
$\dfrac{x-y}{-x+y}=\dfrac{x-y}{-(x-y)}=-1$

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A hardware store receives a shipment of bolts that are supposed to be 12 cm long. The mean is indeed 12 cm, and the standard dev

Yuliya22 [10]

Answer: 0.9104

Step-by-step explanation:

Given : A hardware store receives a shipment of bolts that are supposed to be 12 cm long.

Mean : $\mu=12\text { cm}$

Standard deviation : $\sigma= 0.2\text{ cm}$

Sample size : n=10

Since, they will declare the shipment defective and return it to the manufacturer if the average length of the 100 bolts is less than 11.97 cm or greater than 12.04 cm.

So for the shipment to be satisfactory, the length of the bolts must be between 11.97 cm and 12.04 cm.

We assume that the length of the bolts are normally distributed.

Let X be the random variable that represents the length of randomly picked bolt .

For Z score : $z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For x = 11.97

$z=\dfrac{11.97-12}{\dfrac{0.2}{\sqrt{100}}}=-1.5$

For x = 12.04

$z=\dfrac{12.04-12}{\dfrac{0.2}{\sqrt{100}}}=2$

By using the standard normal distribution table , the probability that the shipment is found satisfactory will be :-

$P(511.97$

Hence, the probability that the shipment is found satisfactory=0.9104

3 0

3 years ago

Can someone help me out on these geometry questions? Its urgent, gotta have answers fast

almond37 [142]

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2 years ago

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AlekseyPX

Answer:

Step-by-step explanation:

6 0

3 years ago

Find the number that makes the ratio equivalent to 3:9. 9:?

sesenic [268]

Answer:

Step-by-step explanation:

Given the ratio 3 : 9

and 9 : ?

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5 0

3 years ago

Points scored in a basketball game vary directly with shots taken. If a player scores 50 points and takes 40

KATRIN_1 [288]

Answer:

She would have scored 75 points.

Step-by-step explanation:

Points scored in a basketball game vary directly with shots taken.

This means that this question can be solved by proportions, using a rule of three.

How many would she have scored if she takes 60 shots?

Using a rule of three:

50 points - 40 shots

x points - 60 shots

Applying cross multiplication:

$40x = 50*60$

Dividing both sides by 40

$x = 50*1.5 = 75$

She would have scored 75 points.

6 0

3 years ago