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quester [9]
3 years ago
5

Y = 4x - 2 y = x + 3

Mathematics
1 answer:
arlik [135]3 years ago
8 0

Answer:

y=3x+1

Step-by-step explanation:

if im correct you are working on elimination, so you pretty much sub. so the difference between -2 and 3 is positive 1; the difference between 4x and x is 3x

are you working on elimination?

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A machine, when working properly, produces 5% or less defective items. Whenever the machine produces significantly greater than
vovikov84 [41]

Answer:

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

Step-by-step explanation:

A machine, when working properly, produces 5% or less defective items.

This means that the null hypothesis is:

H_0: p \leq 0.05

Test if the percentage of defective items produced by this machine is greater than 5%.

This means that the alternate hypothesis is:

H_a: p > 0.05

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.

0.05 is tested at the null hypothesis:

This means that \mu = 0.05, \sigma = \sqrt{0.05*0.95}

A random sample of 300 items taken from the production line contained 27 defective items.

This means that n = 300, X = \frac{27}{300} = 0.09

Value of the test statistic:

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

z = \frac{0.09 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{300}}}

z = 3.18

Pvalue of the test:

Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.

Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993

1 - 0.9993 = 0.0007

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

5 0
3 years ago
19,432÷x=48 Remainder 232 (Plz help its for my hw that's due tmrw)
Neko [114]

Answer:

x = 404.83

Step-by-step explanation:

The given expression is :

19,432÷x=48 ...(1)

We need to find the value of x.

\dfrac{19,432}{x}=48

Cross multiplying both sides,

19,432=48x

Dividing both sides by 48

\dfrac{19,432}{48}=x\\\\x=404.83

So, the value of x is 404.83.

4 0
2 years ago
Read 2 more answers
Can someone help me please?
marishachu [46]
(6x + 30)+(2x+6)= 180
8x +36= 180
8x= 144
X= 18
So 2x+6 = 42
And 6x+30 = 138
8 0
3 years ago
The volume of a cube is 27 cubic yards. Find the side length.
IceJOKER [234]

Since all sides of a cube are equal...,

Let one side length of a cube be (z)

;Volume = z × z × z

;Volume = z^3

; 27 = z^3....where we then say that..,

; z(side length) = cube root of (27)

; Hence..., Side Length = 3 yards

4 0
2 years ago
Find the measure of 0. (To the nearest tenth)<br> A) 28.8<br> B) 33.4<br> C) 61.2<br> D) 63.4
Wewaii [24]

Answer:

B

Step-by-step explanation:

Hope this helps

4 0
2 years ago
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