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babunello [35]
3 years ago
8

Factor each polynomial: 9x-6

Mathematics
1 answer:
mixas84 [53]3 years ago
6 0

Answer:

3(3x−2)

Step-by-step explanation:

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cyclists were 3/5 finished with their ride when they reached the 15 kilometer mark how long was the ride
butalik [34]
3/5 of the ride = 15 km

1/5 of the ride = 15 ÷ 3 = 5km

5/5 of the ride = 5 x 5 = 25km

Answer: the ride is 25km
4 0
3 years ago
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Given that x square + 5 x + c is a perfect square find the value of C ​
lawyer [7]

Answer:

c = \frac{25}{4}

Step-by-step explanation:

To make a perfect square

add ( half the coefficient of the x- term )² to x² + 5x

x² + 5x + (\frac{5}{2} )²

= x² + 5x + \frac{25}{4}

= (x + \frac{5}{2} )² ← a perfect square

5 0
3 years ago
Volume of a can 12cm x 8 cm
ololo11 [35]
3619.11 or <span>2412.74 ...............</span>
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3 years ago
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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
A tailor used 6 2/3 yards of fabric to make hats. The amount of fabric needed to make each hat is 5/6 yard. How many complete ha
vfiekz [6]

Answer: The tailor made 8 complete hats

Step-by-step explanation:

Amount of fabrics available to make hat = 6 2/3 yards

1 hat requires = 5/6 yards

Number of hat to obtain from the available fabric = Amount of fabrics available to make hat / requirement of 1 hat

=(6 2/3) / (5/6)

(20/3) / (5/6)

20/3 x 6/5 = cancelling out, we are left with

4x2= 8 hats

or

(20/3) / (5/6)

6.6666 /0.83333

= 8.00002= 8 hats

6 0
2 years ago
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