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nasty-shy [4]
3 years ago
9

Which expression shows the resuit of applying the distributive property to 12(5y+4)

Mathematics
2 answers:
Alex Ar [27]3 years ago
6 0

Answer:

60y+48

Step-by-step explanation:

Multiply both terms inside the parentheses by 12

oee [108]3 years ago
5 0
12(5)
12(4)
Multiply each # to 12.
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There are 534 car parking spaces but 478 spaces are occupied,round to the nearest 10
suter [353]

Answer:

60

Step-by-step explanation:

If 478 out of 534 parking spaces are taken, then you will be <u>subtracting</u>. When you subtract 534 and 478 (534-478), then you get 54. Remember 5 and up round to 10. 4 and below round to 0. So 56 rounds to 60 because 6 is greater than 5.

Hope it helps!

8 0
3 years ago
2. When a large truckload of mangoes arrives at a packing plant, a random sample of 150 is selected and examined for
kirza4 [7]

a) The 90% confidence interval of the percentage of all mangoes on the truck that fail to meet the standards is: (7.55%, 12.45%).

b) The margin of error is: 2.45%.

c) The 90% confidence is the level of confidence that the true population percentage is in the interval.

d) The needed sample size is: 271.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions has the bounds given by the rule presented as follows:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

The margin of error is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

The variables are listed as follows:

  • \pi is the sample proportion, which is also the estimate of the parameter.
  • z is the critical value.
  • n is the sample size.

The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of \frac{1+0.90}{2} = 0.95, so the critical value is z = 1.645.

The sample size and the estimate are given as follows:

n = 150, \pi = \frac{15}{150} = 0.1

The margin of error is of:

M = z\sqrt{\frac{0.1(0.9)}{150}} = 0.0245 = 2.45\%

The interval is given by the estimate plus/minus the margin of error, hence:

  • The lower bound is: 10 - 2.45 = 7.55%.
  • The upper bound is: 10 + 2.45 = 12.45%.

For a margin of error of 3% = 0.03, the needed sample size is obtained as follows:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.645\sqrt{\frac{0.1(0.9)}{n}}

0.03\sqrt{n} = 1.645\sqrt{0.1(0.9)}

\sqrt{n} = \frac{1.645\sqrt{0.1(0.9)}}{0.03}

(\sqrt{n}})^2 = \left(\frac{1.645\sqrt{0.1(0.9)}}{0.03}\right)^2

n = 271 (rounded up).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

3 0
1 year ago
Write the equation of this line in y= mx + b form
KiRa [710]

Answer:

y=4

Step-by-step explanation:

Because it is a horizontal line, there is no slope the only thing that is there is the y intercept

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