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3 years ago

(7, 1) and (x, 4); m = 3/4 missing value 50 POINTS

Mathematics

1 answer:

Sever21 [200]3 years ago

7 0

Answer:

x = 11

Step-by-step explanation:

4 - 1 / x - 7 (simplify)

3 / x - 7 = 3/4 (multiply by x - 7)

3 = 3/4 (x - 7)

3 = 3/4x - 5.25 (add 5.25 to both sides)

8.25 = 3/4x (divide both sides by 8.25)

x = 11

sub into the formula to check:

4-1 / 11 - 7

3 / 4

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Please show work for both problems

sukhopar [10]

(1) The value of x is 25

(2) The measure of ∠CBD is 60°

Explanation:

(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.

Thus, we have,

$5x+15=6x-10$

Subtracting 5x from both sides, we have

$15=x-10$

Adding 10 to both sides , we have,

$25=x$

Thus, the value of x is 25.

(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°

Since, these two angles are supplementary angles and supplementary angles add upto 90°

Thus, we have,

$2x+14+x+7=90$

Simplifying, we get,

$3x+21=90$

$3x=69$

$x=23$

Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.

$2x+14=2(23)+14=46+14=60$

Thus, the measure of ∠CBD is 60°

5 0

3 years ago

Travelers who fail to cancel their hotel reservations when they have no intention of showing up are commonly referred to as no-s

notsponge [240]

Answer:

a) 0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) 0 is the most likely value for X.

Step-by-step explanation:

For each traveler who made a reservation, there are only two possible outcomes. Either they show up, or they do not. The probability of a traveler showing up is independent of other travelers. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

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

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