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lorasvet [3.4K]
3 years ago
14

How to do HCF and LCM

Mathematics
1 answer:
aliya0001 [1]3 years ago
7 0
To find the GCF, list the prime factors of each number, then multiply the factors that both number have in common. To find the LCD, find the smallest possible integer divisible by both numbers.
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A market research team thinks that their new ad campaign is better than their old one. They used to be able to sell to 50% of th
andreev551 [17]

Answer:

a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better.

Step-by-step explanation:

They used to be able to sell to 50% of those who saw their ads. Test if the new campaign is better.

At the null hypothesis, we test is it is the same, that is, the proportion is the same.

H_0: p = 0.5

At the alternate hypothesis, we test if it is significantly better, that is, the proportion is above 50%.

H_1: p > 0.5

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.

0.5 is tested at the null hypothesis:

This means that \mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5

They take a random sample of 100 potential buyers and find that they convinced 60 of these people to buy their product.

This means that n = 100, X = \frac{60}{100} = 0.6

Test statistic:

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

z = \frac{0.6 - 0.5}{\frac{0.5}{\sqrt{100}}}

z = 2

The test statistic is 2.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted the by p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

The p-value of the test is 0.0228 > 0.01, which means that we cannot conclude that the new ad campaign is signficantly better, so the correct answer is given by option A.

5 0
3 years ago
A sum of money is invested at 12% compounded quarterly. About how long will it take for the amount of money to double?
kompoz [17]

Answer:

  5.9 years

Step-by-step explanation:

We believe a better representation of the compound interest formula is ...

  V(t)=P(1+\dfrac{r}{n})^{nt}

We want to find the value of t for P=1 and V(t)=2. We are told n=4, so the formula becomes ...

  2=(1+\dfrac{.12}{4})^{4t}\\\\\log{(2)}=4t\log{(1.03)}\quad\text{take logs}\\\\t=\dfrac{\log{2}}{4\log{1.03}}\approx\boxed{5.9\quad\text{years}}

8 0
3 years ago
Which property was used to write the equation in step 2?
adelina 88 [10]

Answer:

A

Step-by-step explanation:

Given

5(x - 7) = 55, then using the distributive property, that is

a(b - c) = ab - ac, then

5x - 35 = 55

6 0
3 years ago
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Line parallel to y=2x has a slope of ?
loris [4]

In order to find the slope of a line parallel to this one, we must be familiar with the slope/intercept form, which is y= mx + b. M would be the slope. Therefore this line has a slope of 2. Parallel lines have the same slope, therefore<em> a line parallel to y=2x has a slope of </em><em>2</em><em>. </em>

7 0
3 years ago
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What integer is the closest solution?
Natasha_Volkova [10]

Answer:

So either the answer will be 8.5

Step-by-step explanation:

It will be 8.5 because if you add a zero at the end of 8.5 that will be 8.50 and 8.50 is half of 9 and 9 is closes to the solution sooo.... thats what i pick

6 0
2 years ago
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