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solniwko [45]
3 years ago
14

Determine the equivalent system for the given system of equations.

Mathematics
1 answer:
balandron [24]3 years ago
6 0

Answer:

B

Step-by-step explanation:

4x-5y=2 ...(1)

10x-21y=10   ...(2)

(1)+2(2)  gives

24x-47y=22

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A company considers buying a machine to manufacture a certain item. When tested, 28 out of 600 items produccd by the machine wer
weqwewe [10]

Answer:

The p-value of the test is 0.9918 > 0.05, which means that we fail to reject H_0, as we do not have enough evidence to say that defect rate of machine is smaller than 3%.

Step-by-step explanation:

The null and alternate hypothesis are:

H0:p≥0.03

Ha:p<0.03

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.03 is tested at the null hypothesis:

This means that \mu = 0.03, \sigma = \sqrt{0.03*0.97}

28 out of 600 items produced by the machine were found defective.

This means that n = 600, X = \frac{28}{600} = 0.0467

Value of the test-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.0467 - 0.03}{\frac{\sqrt{0.03*0.97}}{\sqrt{600}}}

z = 2.4

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.0467, which is the p-value of z = 2.4.

Looking at the z-table, z = 2.4 has a p-value of 0.9918.

The p-value of the test is 0.9918 > 0.05, which means that we fail to reject H_0, as we do not have enough evidence to say that defect rate of machine is smaller than 3%.

7 0
2 years ago
Help plzzzz<br> The minimum value os 58<br> The median value is 82<br> The third quartile is 58
iragen [17]

Answer:

It is a box

Step-by-step explanation:

IT's a box ,because I had to put a stick in the box

4 0
3 years ago
Read 2 more answers
Movies Plus charges its customers a $10 monthly service fee plus $2 for each movie the customer rents. Movies For Less
Vinvika [58]

Answer:

A

Step-by-step explanation:

10x3=30

15x2=30+10=40

15x3=45 movies for less

7 0
3 years ago
Help me with this!!! What is x
romanna [79]

Answer:

58º

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The dockland building in hamburg, germany is built in the shape of a parallelogram. What is the length of the flight of stairs t
Tamiku [17]

Answer:

The length of the flight of stairs is 52 m

Step-by-step explanation:

<em>In parallelograms, opposite sides are equal in length</em>

In the given figure

∵ The building is built in the shape of a parallelogram

∵ The length of the flight of stairs is one side of it

→ We can find it by finding the hypotenuse of the right triangle

   whose legs are 47 m and 22 m

∴ The length of it = the length of the hypotenuse of the right Δ

→ By using the Pythagoras Theorem

∵ h = \sqrt{(leg1)^{2}+(leg2)^{2}}

∵ leg1 = 47 and leg2 = 22  

∴ h = \sqrt{(47)^{2}+(22)^{2}}

∴ h = \sqrt{2209+484}

∴ h = \sqrt{2693}

∴ h = 51.89412298

∵ h represents the length of the flight of stairs

∴ The length of the flight of stairs = 51.89412298 m

→ Round it to the nearest meter

∴ The length of the flight of stairs = 52 m

4 0
3 years ago
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