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3 years ago

Value of two numbers if the sum is 12 and differnce is 4

Mathematics

2 answers:

kotykmax [81]3 years ago

6 0

this would be 4 and 8

8-4 = 4 and 8+4 = 12

Answer 4 and 8.

alexandr1967 [171]3 years ago

4 0

8+4=12
8-4=4. that's the answer

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28 students in the class 75% pass how many students pass

SashulF [63]

Answer:

21 students pass

Step-by-step explanation:

Firstly, you can set up the problem into an equation where the variable X would equal the number of students passing. You put X over the total number of students in the class, turning it into a fraction, then set it equal to the fraction $\frac{75}{100}$ (which is 75% represented as a fraction).

$\frac{X}{28} = \frac{75}{100}$

The fraction $\frac{75}{100}$ can be simplified, because 75 and 100 are both multiples of 25, so after canceling out the 25s you would be left with $\frac{3}{4}$ .

$\frac{X}{28} = \frac{3}{4}$

Next, you use the process of cross multiplication which is essentially just multiplying the denominators of both fractions (which would be 28 and 4 in this case) to each side of the equation.

$\frac{X}{28} * 28 * 4 = \frac{3}{4} * 4 * 28$

The denominators cancel out leaving you with a simple equation to simplify.

$4* X = 3 * 28$

$4X = 84$

Finally, divide both sides by four in order to isolate the variable.

$\frac{4X}{4} = \frac{84}{4}$

X = 21.

5 0

3 years ago

A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a

antoniya [11.8K]

Answer:

Due to the higher z-score, he did better on the SAT.

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.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so $X = 1070$

SAT scores have a mean of 950 and a standard deviation of 155. This means that $\mu = 950, \sigma = 155$ .

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

$Z = \frac{1070 - 950}{155}$

$Z = 0.77$

ACT:

Scored 25, so $X = 25$

ACT scores have a mean of 22 and a standard deviation of 4. This means that $\mu = 22, \sigma = 4$

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

$Z = \frac{25 - 22}{4}$

$Z = 0.75$

Due to the higher z-score, he did better on the SAT.

8 0

3 years ago

Michelle is filling out a form and needs to enter her height in meters. She

zheka24 [161]

1.45 meters is your answer

6 0

2 years ago

Alex made a sketch for a poster contest. The sketch measures 4 in. × 5 in. The scale factor from the sketch to the finished post

leonid [27]

<span>4*5/2 = 10
5*5/2 = 25/2 = 12/5

The poster is 10 x 12.5 inches. </span>

3 0

3 years ago

The entry fee for the tournament is $50 per team. Each of the 16 teams can also get ice water in the dugout for each game for an

velikii [3]

If you divide 16 by 2 you get 8, so, 8 teams payed $50, while the other half payed $60.

Hope this helps. ^_^

(If you're gonna add them up it's 8x60=480 + 8x50=400=880) :P

5 0

3 years ago