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Rufina [12.5K]
3 years ago
14

Which fraction expresses –30/54 in lowest terms?

Mathematics
2 answers:
Crazy boy [7]3 years ago
8 0
Divide the numerator and denominator by 6.

-30 / 6 = -5

54 / 6 = 9

So we have:

-5/9
Akimi4 [234]3 years ago
6 0
<span>D. - </span>\frac{5}{9}
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Parallelogram FGHI on the coordinate plane below represents the drawing of a horse trail through a local park.
Setler [38]
The answer is <span>A)(13, 8).

Distance I to F is:     yf - yi = -1 - (-4) = -1 + 4 = 3
Distance D to A is:   ya - yd = 8 - 2 = 6

</span>Distance D to A : Distance I to F = 6 : 3<span>
6 : 3 = 2, so scale factor is 2.

Among all choices, we see that the y point of another corner is 8, so we need to find x point.

Distance I to H is:                 xh - xi = -2 - (-7) = -2 + 7 = 5
Distance A to x corner is:    x - xa = x - 3

Since </span>Distance I to H is 5, and scale factor is 2, we have:
Distance A to x corner : Distance I to H = 2
Distance A to x corner = 2 * Distance I to H = 2 * 5 = 10

Distance A to x corner is:    xa - x = x - 3 = 10
x - 3 = 10
x = 10 + 3
x = 13

4 0
3 years ago
Read 2 more answers
The distribution of scores on the SAT is approximately normal with a mean of mu = 500 and a standard deviation of sigma = 100. F
ella [17]

Answer:

a. 2.28%

b. 30.85%

c. 628.16

d. 474.67

Step-by-step explanation:

For a given value x, the related z-score is computed as z = (x-500)/100.

a. The z-score related to 700 is (700-500)/100 = 2, and P(Z > 2) = 0.0228 (2.28%)

b. The z-score related to 550 is (550-500)/100 = 0.5, and P(Z > 0.5) = 0.3085 (30.85%)

c. We are looking for a value b such that P(Z > b) = 0.1, i.e., b is the 90th quantile of the standard normal distribution, so, b = 1.281552. Therefore, P((X-500)/100 > 1.281552) = 0.1, equivalently  P(X > 500 + 100(1.281552)) = 0.1 and the minimun SAT score needed to be in the highest 10% of the population is 628.1552

d. We are looking for a value c such that P(Z > c) = 0.6, i.e., c is the 40th quantile of the standard normal distribution, so, c = -0.2533471. Therefore, P((X-500)/100 > -0.2533471) = 0.6, equivalently P(X > 500 + 100(-0.2533471)), and the minimun SAT score needed to be accepted is 474.6653

4 0
3 years ago
If an average sunflower has 34 petals what is the best estimate for the total number of petals on 57 sunflowers
Nonamiya [84]

34 \times 57 = 1938
3 0
3 years ago
What will the y-coordinate/value be for A' (A
Nataliya [291]

what are the coordinates if you tell me that I can help you

3 0
3 years ago
Candice scored 74 on an exam that had a mean of 66 and a standard deviation of 4. Erin scored 58 on an exam with a mean of 42 an
Maslowich

Answer:

Erin

Step-by-step explanation:

Z score formula:

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

For Candice:

Z score = 74 -66/4

Z score = 2

For Erin

Z score = 58 - 42/7

Z score = 2.28571

Erin z score is larger hence, he did better

6 0
3 years ago
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