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3 years ago

Mr. Howe ate 1/3 of a pizza and then Mr. Kurt ate 1/8 of the same pizza. How

Mathematics

1 answer:

Nikolay [14]3 years ago

5 0

12/24

Step One: We need to convert 1/3 and 1/8 so both have the same denominator, so we need to find the a number that is able to be multiply by 3 and 8 for the process.

Step Two: 1/3 x 8= 8/24 and 1/8x3= 3/24

Step Three: Add our new fractions: 3/24+8/24= 12/24

Step Four: Subtract 12 by 24: 24-12= 12; our answer is 12/24 or half the pizza was eaten

I hope I've help!

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Dear Math Helper,

valentina_108 [34]

Answer:

n = 98, that is, she scored at the 98th percentile.

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question, we have that:

She scored 38, so $X = 38$

Test scores are normally distributed with a mean of 25 and a standard deviation of 6.4.

This means that $\mu = 25, \sigma = 6.4$

Find the percentile:

We have to find the pvalue of Z. So

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

$Z = \frac{38 - 25}{6.4}$

$Z = 2.03$

$Z = 2.03$ has a pvalue of 0.98(rounding to two decimal places).

So n = 98, that is, she scored at the 98th percentile.

5 0

3 years ago

Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a seco

kari74 [83]

Answer:

C. $\frac{1}{18}$

Step-by-step explanation:

Given: Six cards numbered from $1$ to $6$ are placed in an empty bowl. First one card is drawn and then put back into the bowl then a second card is drawn.

To Find: If the cards are drawn at random and if the sum of the numbers on the cards is $8$ , what is the probability that one of the two cards drawn is numbered $5$ .

Solution:

Sample space for sum of cards when two cards are drawn at random is $\{(1,1),(1,2),(1,3)......(6,6)\}$

total number of possible cases $=36$

Sample space when sum of cards is $8$ is $\{(3,5),(5,3),(6,2),(2,6),(4,4)\}$

Total number of possible cases $=5$

Sample space when one of the cards is $5$ is $\{(5,3),(3,5)\}$

Total number of possible cases $=2$

Let A be the event that sum of cards is $8$

$p(\text{A})$ $=\frac{\text{total cases when sum of cards is 8}}{\text{all possible cases}}$

$p(\text{A})=\frac{5}{36}$

Let B be the event when one of the two cards is $5$

probability than one of two cards is $5$ when sum of cards is $8$

$p(\frac{\text{B}}{\text{A}})=\frac{\text{total case when one of the number is 5}}{\text{total case when sum is 8}}$

$p(\frac{\text{B}}{\text{A}})=\frac{2}{5}$

Now,

probability that sum of cards $8$ is and one of cards is $5$

$p(\text{A and B}=p(\text{A})\times p(\frac{\text{B}}{\text{A}})$

$p(\text{A and B})=\frac{5}{36}\times\frac{2}{5}$

$p(\text{A and B})=\frac{1}{18}$

if sum of cards is $8$ then probability that one of the cards is $8$ is $\frac{1}{18}$ , option C is correct.

3 0

3 years ago

Find the surface area of the prism formed by the net

Lunna [17]

ANSWER

$T.S.A=1960m^2$

EXPLANATION

The diagram represents the net of a rectangular prism.

The dimensions are,

$l=42m$

$w = 14m$

and

$h = 7m$

The total surface area of a rectangular prism is given by:

$T.S.A=2(lw + lh + wh)$

We substitute the values to obtain,

$T.S.A=2(42 \times 14 + 42 \times 7 + 14 \times 7)$

$T.S.A=2(980)m^2$

$T.S.A=1960m^2$

3 0

3 years ago

What’s is the answer to Simplify 3^5 • 3^4

Mariana [72]

3^9

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

Factor pairs for 18 and

Solnce55 [7]

3,3,2 these are the primes of 18

4 0

4 years ago