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2 years ago

What is RS? Please help will give Brainlyest.

Mathematics

1 answer:

IceJOKER [234]2 years ago

3 0

Answer:

Step-by-step explanation:

RV=VU and SW=WT ⇒ $VW=\dfrac{RS+UT}{2}$

Therefore:

$3x+5=\dfrac{2x+15+6x-37}{2}\\\\3x+5=\dfrac{8x-22}{2}$

3x + 5 = 4x - 11 {subtract 5 from both sides)

3x = 4x - 16 {subtract 4x from both sides)

-x = -16 {divide both sides by (-1)}

x=16

So:

RS = 2x + 15 = 2×16 + 15 = 32 + 15 = 47

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2 years ago

A charter boat travels at a maximum rate of 25 miles per hour. The function d(x) = 25x represents the distance d(x), in miles, t

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2 years ago

Suppose that x is a binomial random variable with n=5, p=. 3,and q=. 7.1. Write the binomial formula for this situation and list

Radda [10]

Answer:

$P(X = x) = C_{5,x}.(0.3)^{x}.(0.7)^{5-x}$

Possible values of x: Any from 0 to 5.

$P(X = 0) = C_{5,0}.(0.3)^{0}.(0.7)^{5-0} = 0.16807$

$P(X = 1) = C_{5,1}.(0.3)^{1}.(0.7)^{5-1} = 0.36015$

$P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{5-2} = 0.3087$

$P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{5-3} = 0.1323$

$P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{5-4} = 0.02835$

$P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{5-5} = 0.00243$

Step-by-step explanation:

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 combinations 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.

In this question:

$n = 5, p = 0.3, q = 1 - p = 0.7$

$P(X = x) = C_{5,x}.(0.3)^{x}.(0.7)^{5-x}$

Possible values of x: 5 trials, so any value from 0 to 5.

For each value of x calculate p(☓ =x)

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

$P(X = 0) = C_{5,0}.(0.3)^{0}.(0.7)^{5-0} = 0.16807$

$P(X = 1) = C_{5,1}.(0.3)^{1}.(0.7)^{5-1} = 0.36015$

$P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{5-2} = 0.3087$

$P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{5-3} = 0.1323$

$P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{5-4} = 0.02835$

$P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{5-5} = 0.00243$

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3 years ago

Determine whether 2/3 and 16/24 are equivalent ratios. choose yes or no

Phoenix [80]

Answer:

Yes, they are equivalent

Step-by-step explanation:

Divide the second numerator by the first numerator

Divide the second denominator by the first denominator

Compare the quotients and if they are the same then the fractions are equivalent

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2 years ago

Intercontinental, Inc., uses a perpetual inventory system. Consider the following information about its inventory: July 1, purch

salantis [7]

Answer:

Using weighted average, the cost of goods sold for the sale of 23 units on July 31 is $2,504.70, and the inventory balance at July 31 is $ 1,306.90.

Step-by-step explanation:

Since Intercontinental, Inc., uses a perpetual inventory system, and on July 1, purchased 10 units for $ 910 or $ 91 per unit; on July 3, purchased 15 units for $ 1,590 or $ 106 per unit; on July 14, it sold 20 units; on July 17, purchased 20 units for $ 2,300 or $ 115 per unit; on July 28, purchased 10 units for $ 1,190 or $ 119 per unit; and on July 31, sold 23 units, to determine the average costs and the inventory balance as of July 31, the following calculations must be performed:

(910 +1590 + 2300 + 1190) / (10 + 15 + 20 + 10) = X

5990/55 = X

108.90 = X

108.90 x 23 = 2504.7

(55 x 108.9) - (43 x 108.9) = X

5990 - 4683.10 = X

1306.90 = X

Using weighted average, the cost of goods sold for the sale of 23 units on July 31 is $ 2504.70, and the inventory balance at July 31 is $ 1,306.90.

8 1

2 years ago

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