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3 years ago

Answer please!!!! :)

Mathematics

1 answer:

lozanna [386]3 years ago

8 0

Answer:

516

Step-by-step explanation:

So this is a problem that can be solved using sequences and series.

The formula for an arithmetic sum is:

$Sn = \frac{n}{2} (2u_{1} + (n-1)d) \\$

Our n value or the number of rows is 24

Our first row or u1 is 10

And our common difference is 1 as 11-10 is 1

So:

$S_{24} = \frac{24}{2} (2(10) + (24-1)1)\\\\$

$S_{24} = 12(20 + 23)$

$S_{24} = 516$

I believe this is the correct method to solve this problem

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The average score of this quiz is 24 points with a standard deviation of 1.5 points. What is the probability that someone scored

navik [9.2K]

Answer:

8.08 %

Step-by-step explanation:

Let us denote : $X=$ score X follows a normal distribution with mean $=24$ and standard deviation $=1.5$

Step 2

The probability that someone scored 21.9 or less is :

$\mathrm{P}(\mathrm{X} \leq 21.9)$

$=\mathrm{P}\left(\mathrm{Z} \leq \frac{21.9-24}{1.5}\right)$

$=\mathrm{P}(\mathrm{Z} \leq-1.4)$

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Answer : $8.08 %$

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3 years ago

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kirill115 [55]

Answer:

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Step-by-step explanation:

The formula to find cups from quarts C = Q * 4, where c is how many cups, and Q how many quarts. To find how many cups are in a quart, simply multiply the number of quarts by 5. In this case, there are 3 3/4 quarts of coffee, multiply that by 5, and you would get 15 cups of coffee!

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3 years ago

180 product of a prime factor using indices

zvonat [6]

Start with 180.
Is 180 divisible by 2? Yes, so write "2" as one of the prime factors, and then work with the quotient, 90. 

Is 90 divisible by 2? Yes, so write "2" (again) as another prime factor, then work with the quotient, 45. 

Is 45 divisible by 2? No, so try a bigger divisor. 
Is 45 divisible by 3? Yes, so write "3" as a prime factor, then work with the quotient, 15 

Is 15 divisible by 3? [Note: no need to revert to "2", because we've already divided out all the 2's] Yes, so write "3" (again) as a prime factor, then work with the quotient, 5. 

Is 5 divisible by 3? No, so try a bigger divisor. 
Is 5 divisible by 4? No, so try a bigger divisor (actually, we know it can't be divisible by 4 becase it's not divisible by 2)
Is 5 divisible by 5? Yes, so write "5" as a prime factor, then work with the quotient, 1 

Once you end up with a quotient of "1" you're done. 

In this case, you should have written down, "2 * 2 * 3 * 3 * 5"

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3 years ago

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V125BC [204]

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3 years ago

In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula StartFraction

tensa zangetsu [6.8K]

The given options are:

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

(B)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.

(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.

(D)the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

Answer:

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

The area of the shaded sector can be determined using the formula:

$\frac{m\angle ZYX}{360^\circ} \cdot \pi r^2$