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2 years ago

The greatest common factor of 24,40 and 56

1 answer:

7 0

The factors of 24 are 1,2,3,4,6,8,12, and 24. The factors of 40 are 1,2,4,5,8,10,20, and 40. The factors of 56 are 1,2,4,7,8,14,28, and 56. 24÷8=3. 40÷8=5. 56÷8=7. Therefore, the GCF of 24,40, and 56 is $\boxed{8}$

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Find the minimum sample size needed to estimate the percentage of Democrats who have a sibling. Use a 0.1 margin of error, use a

Brums [2.3K]

Answer:

The minimum sample size is $n =135$

Step-by-step explanation:

From the question we are told that

The confidence interval is $( lower \ limit = \ 0.44,\ \ \ upper \ limit = \ 0.51)$

The margin of error is $E = 0.1$

Generally the sample proportion can be mathematically evaluated as

$\r p = \frac{ upper \ limit + lower \ limit }{2}$

$\r p = \frac{ 0.51 + 0.44}{2}$

$\r p = 0.475$

Given that the confidence level is 98% then the level of significance can be mathematically evaluated as

$\alpha = 100 - 98$

$\alpha = 2\%$

$\alpha =0.02$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

The value is

$Z_{\frac{\alpha }{2} } = 2.33$

Generally the minimum sample size is evaluated as

$n =[ \frac { Z_{\frac{\alpha }{2} }}{E} ]^2 * \r p (1- \r p )$

$n =[ \frac { 2.33}{0.1} ]^2 * 0.475(1- 0.475 )$

$n =135$

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2 years ago

What is 317,291 rounded to the nearest ten thousand? I'm very confused, ( Don't judge me because I am just in fourth grade and I

OverLord2011 [107]

It would be need to be 31729 because one through four makes it stay the same 5 through 9 memes it go up one

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2 years ago

Read 2 more answers

Five times the sum of a number and 6 equals 3

Sever21 [200]

Answer:

5x+6=3

Step-by-step explanation:

"A number" is a variable.

"Sum" is addition.

"Equals 3" is =3.

"and six" relates to "sum".

So when you put these together it would be 5x+6=3

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2 years ago

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Nakita rode her skateboard at an average speed of 8.8 feet per second for 0.2 miles. She wants to calculate how long it took her

timama [110]

Answer: $2\ minutes$

Step-by-step explanation:

We know that:

$d=rt$

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Solved for the time "t":

$t=\frac{d}{r}$

The first step is to convert the distance from miles to feet.

Since $1\ mile=5,280\ feet$ , we get:

$d=(0.2\ mi)(\frac{5,280\ ft}{1\ mi})\\\\d=1,056\ ft$

Knowing that:

$r=8.8\ \frac{ft}{s}$

We can substitute values into $t=\frac{d}{r}$ in order to find the time in seconds:

$t=\frac{1,056\ ft}{8.8\ \frac{ft}{s}}\\\\t=120\ s$

Since:

$1\ minute = 60\ seconds$

The time in minutes is:

$t=(120\ s)(\frac{1\ min}{60\ s})\\\\t=2\ min$

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3 years ago

Isolate the variables of 110=m+95

Kryger [21]

Answer:

Step-by-step explanation:

To isolate the variable, subtract 95 on both sides.

110=m + 95

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Hope this helped! :)

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2 years ago

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