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skad [1K]
2 years ago
5

Determine whether these two ratios make a proportion;3/8, 24/64 True or False

Mathematics
1 answer:
lianna [129]2 years ago
3 0

Yes, we claim that the two ratios are proportional.

<h3>Proportion</h3>

Proportion is an equality between two ratios. These ratios are made up of two real integers. In a proportion, when there is an equality, both ratios have to be equivalent to the other. Equivalent ratio is when both division results are equal.

— To find out if the equality between these two given ratios is true, let's just: divide the numerator by the denominator.

3/8 = 3 ÷ 8 = <u>0,375</u>

24/64 = 24 ÷ 64 = <u>0,375</u>

Therefore, we see that the results of these ratios are the same. So these two ratios are proportional. 3/8 = 24/64

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A researcher is interested in determining if the more than two thirds of students would support making the Tuesday before Thanks
klio [65]

Answer:

a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor of making the Tuesday before Thanksgiving a holiday, or they are against. This means that we can solve this problem using concepts of the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

So, the binomial probability distribution has two parameters, n and p.

In this problem, we have that n = 1000 and p = \frac{700}{1000} = 0.7. So the parameter is

a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.

8 0
3 years ago
(X+8)(x-8) if necessary combine like terms
julia-pushkina [17]

Answer:

x² - 64

Step-by-step explanation:

Given

(x + 8)(x - 8)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 8) + 8(x - 8) ← distribute both parenthesis

= x² - 8x + 8x - 64 ← collect like terms

= x² - 64

3 0
3 years ago
Match each function formula with the corresponding transformation of the parent function y = 3x
kodGreya [7K]

Answer:

1. y = -3^ x Translated up by 1 unit 2.

2.y = 3^ -x Reflected over the y-axis 3.

3.y = 3 ^x - 2 Translated right by 2 units 4.

4. y = 3 ^x + 1 Translated down by 2 units 5.

5. y = 3^ x + 1 Translated left by 1 unit 6.

6. y = 3 ^x - 2 Reflected over the x-axis

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Quiz 2: percent and percentage
prohojiy [21]

Answer:

Answer: 19.2

Step-by-step explanation:

To calculate percentage, multiply the number 80 by 0.24, and the answer is 19.2.

8 0
3 years ago
Help please?
scoundrel [369]

Step-by-step explanation:

1)

2 1/10 + 3/100 = 200/100 + 10/100 + 3/100 = 213/100 =

= 2 13/100

2)

2 1/10 + 5 3/100 = 200/100 + 10/100 + 500/100 + 3/100 =

= 713/100 = 7 13/100

3)

2.1 + 00.3 = 2.4

or did you mean + 100.3 ? then is is 102.4

4)

24/100 + 7/10 = 24/100 + 70/100 = 94/100 = 47/50

5)

3 24/100 + 8 7/10 =

= 300/100 + 24/100 + 800/100 + 70/100 =

= 1194/100 = 11 94/100 = 11 47/50

5 0
1 year ago
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