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ehidna [41]
2 years ago
8

Which equation is equivalent to x + 8 = 21? (x + 8) × 4 = 21 (x + 8) × 4 = 21 ÷ 4 (x + 8) × 4 = 21 × 2 (x + 8) × 4 = 21 × 4

Mathematics
1 answer:
Drupady [299]2 years ago
7 0

Answer:

(x + 8) × 4 = 21 × 4

Explanation:

x + 8 = 21

21 - 8 = 13

(13 + 8) × 4 = 21 × 4

21 × 4 = 21 × 4

84 = 21 × 4

84 = 84

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The height of one mountain is 199 yards. Another mountain is 6 times as tall.
Makovka662 [10]

Answer:

1194

Step-by-step explanation:

because 199 is the height of the first mountain so just times that number by 6 to get the second mountains height.

3 0
2 years ago
What's the equation ???
navik [9.2K]
Y = x + b.

-4 = 2 x (-3/2) + b. -4 and 2 because of (2, -4). 2 is x and -4 is y.

b = 7.

Therefore, -4 = -3/2 + 7.
4 0
2 years ago
A woman standing on a hill sees a flagpole that she knows is 40 ft tall. the angle of depression to the bottom of the pole is 14
NemiM [27]
Let distance form the pole = x  and height of the hill = y ft

now we can set up 2 equayions 
tan 18 = (40-y)/x
tan 14 = y/x

from second equation y = sxtan14  so we have:-
 tan 18  = ( 40 - x tan 14) /  x

x tan 18 = 40 - x tan 14
x(tan 18 + tan 14) = 40

x   = 40 / (tan18 + tan 14)  =  69.66 feet Answer



6 0
2 years ago
If a procedure meets all of the conditions of a binomial distribution except the number of trials is not​ fixed, then the geomet
morpeh [17]

Answer:

The probability is 0.0428

Step-by-step explanation:

First, let's remember that the binomial distribution is given by the formula:

P(X=k) =\left[\begin{array}{ccc}n\\k\end{array}\right] p^{k}(1-p)^{n-k} where k is the number of successes in n trials and p is the probability of success.

However, the problem tells us that when there isn't a number of trials fixed, we can use the geometric distribution and the formula for getting the first success on the xth trial becomes:

P(X=x) = p(1-p)^{x-1}\\

The problem asks us to find the probability of the first success on the 4th trial (given that the first subject to be a universal blood donor will be the fourth person selected)

Using this formula with the parameters given, we have:

p = 0.05

x = 4

Substituting these parameters in the formula and solving it, we get:

P(X=4) = 0.05(1-0.05)^{4-1}\\P(X=4) = 0.05 (0.95)^{3}\\P(X=4) = 0.05(.8573)\\P(X=4) = 0.0428

Therefore, the probability that the first subject to be a universal blood donor is the fourth person selected is 0.0428 or 4.28%

7 0
3 years ago
Twice the difference of x and 5 is -33
Elden [556K]
2*(x-5) = -33, so x-5 = -16.5, so x = -11.5

This is assuming that "the difference between a and b" is a-b, which seems to be the accepted interpretation.
3 0
2 years ago
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