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Black_prince [1.1K]
3 years ago
7

What is a equivalent fraction for 24/30

Mathematics
1 answer:
liq [111]3 years ago
6 0
There's an infinite number of equivalent fractions for 24/30 - all you need to do is to divide or multiple both numerator and denominator by the same number. For example:

24/30 = 48/60 (because 24 * 2 = 48 and 30 * 2 = 60)
24/30 = 12/15 (because 24 ÷ 2 = 12 and 30 ÷ 2 = 15)
24/30 = 72/90 (because 24 * 3 = 72 and 30 * 3 = 90)
24/30 = 4/5 (because 24 ÷ 6 = 4 and 30 ÷ 6 = 5)
etc...
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For a set of five whole numbers, the mean is 4, the mode is 1, and the median is 5. What are the five numbers?
zmey [24]
SO we need 5 numbers that equal to 20, with 5 being the middle number, and ones being the most used number so

1 1 5 x y

According to this, x and y must equal 13 and both be bigger then 5. Because we can rule out every other number, x and y must be 6 and 7.

Your 5 numbers are 1, 1, 5, 6, 7.
5 0
3 years ago
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3 years ago
Find z if X=27, μ=20, and α=3.4. Round to the nearest hundredth if necessary.
Scrat [10]

Answer:

A. Z=2.06

Step-by-step explanation:

We want to find the Z-score of X=27 if the population mean is \mu=20,and the population standard deviation is \sigma=3.4.

We use the formula:

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

We substitute the values to obtain:

Z=\frac{27-20}{3.4}

Z=\frac{7}{3.4}

Z=2.06

The correct answer is A.

7 0
3 years ago
Factor the polynomial. 7x2 + 68xy - 20y2 A) (7x - 2y)(x + 10y) B) (7x - 10y)(x - 2y) C) (7x + 10y)(x + 2y) D) (7x + 2y)(x - 10y)
Otrada [13]
For this case we have the following polynomial:
 7x2 + 68xy - 20y2
 Factoring we have:
 (7x-2y) (x + 10y)
 We verify the factorization:
 7x2 + 70xy - 2xy - 20y2
 Rewriting we have:
 7x2 + 68xy - 20y2
 Therefore, the factorization is correct.
 Answer:
 
A) (7x - 2y) (x + 10y)
5 0
3 years ago
4sinθ – 1 = - 3 for 0<θ< 360
EastWind [94]

Answer:

\theta = 210^\circ or \theta = 330^\circ

Step-by-step explanation:

4 \sin \theta - 1 = -3

4 \sin \theta = -2

\sin \theta = \dfrac{-2}{4}

\sin \theta = -0.5

For sin θ = 0.5, the reference angle is θ = 30 deg.

\sin 30^\circ = 0.5

\theta = 210^\circ or \theta = 330^\circ

7 0
3 years ago
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