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2 years ago

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A strawberry pie was cut into 12 slices . Mark ate 1/4 the pie. How many slices of pie did Mark eat?

1 answer:

Nikolay [14]2 years ago

5 0

If Mark ate 1/4 of the pie, that means he ate a quarter of it. We need to find a quarter of 12 slices. We can do this by dividing 12 by 4: 12/4=3. So, he ate three slices, because three is a quarter of 12.

Answer: 3 slices

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Urgent!!!!! Please answer!!!!!!

Thepotemich [5.8K]

Answer:

A

Step-by-step explanation:

7 0

2 years ago

All 10,000 California students in the beginning of 8th grade are given an entrance exam that will allow them to attend a top aca

lys-0071 [83]

Answer:

1.32% of students have the chance to attend the charter school.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

This year the mean on the entrance exam was an 82 with a standard deviation of 4.5.

This means that $\mu = 82, \sigma = 4.5$

a.What is the percentage of students who have the chance to attend the charter school?

Students who achieve a score of 92 or greater are admitted, which means that the proportion is 1 subtracted by the pvalue of Z when X = 92. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{92 - 82}{4.5}$

$Z = 2.22$

$Z = 2.22$ has a pvalue of 0.9868

1 - 0.9868 = 0.0132

0.0132*100% = 1.32%

1.32% of students have the chance to attend the charter school.

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=f%28n%29%3D3%5En" id="TexFormula1" title="f(n)=3^n" alt="f(n)=3^n" align="absmiddle" class="la

andrezito [222]

Answer:

$24(f(n))$

Step-by-step explanation:

$f(n+3) = 3^{n+3}\\f(n+1) = 3^{n+1}$

so

$f(n+3) - f(n+1) = 3^{n+3} - 3^{n+1}$

$= 27(3^n) - 3(3^n)$

$= 24(3^n)$

$= 24(f(n))$

hope this helped! :)

4 0

1 year ago

The length of the minute hand is 150% of the length of the hour hand. In 2 hours, how much farther does the tip of the minute ha

nekit [7.7K]

The question seems incomplete, as the length of the hour hand isn't given ;

If the tip of the hour hand is taken as 30mm

Answer:

534.1 mm

Step-by-step explanation:

In 2 hours ; cycle performed :

2/ 12

Circumference of a circle = 2 * pi *r

Circumference = 2 * pi * 30 = 60pi

Distance traveled : 60pi * 2/12 = 120pi/ 12 =10pi

The minute hand travels 2 comply cycle in 2 hours

150% taller than short hand :

1.5 * 30 = 45 mm

Distance traveled : 2 (2 * pi * 45) = 180pi

(180pi - 10pi) = 170pi

170π = 534.07075

= 534.1 mm

7 0

2 years ago

T is the midpoint of AE. AT=4x-3 and TE= 2x+7, find the length of AE

iris [78.8K]

If T is the midpoint, then that means its exactly 1/2 of the way between 2 points

this means we can set the 2 given values equal

4x - 3 = 2x + 7

first move like terms to the same side

2x = 10

x = 5

now that we know the length of x, we plug it back in to get the length

4x - 3 + 2x + 7 = 6x + 4

6(5) + 4 = 34

7 0

2 years ago