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Galina-37 [17]
3 years ago
15

the function a(b) relates The area of a trapezoid with a given height of 12 and one base length of 9 with the length of its othe

r base

Mathematics
2 answers:
gtnhenbr [62]3 years ago
3 0
Solving for b, we have the equation A(b)=12*(b+9)/2 - we cancel out 12 and the 1/2 to get 6(b+9)=A(b) and get 6b+54=A(b). Subtract 54 from both sides to get 6b=A(b)-54 and divide both sides by 6 to get b=A(b)/6-9 = A
Nutka1998 [239]3 years ago
3 0

Answer:

a apex

Step-by-step explanation:

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A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers t
ehidna [41]

Answer:

The probability that more than a third of the buyers would prefer brown is 0.8491.

Step-by-step explanation:

This is binomial problem with n=15 and p=0.50.

The binomial formula of probaility is:

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

More than a third of the buyers: 15÷3=5

We have to find P(x>5).

P(x>5) = 1 - P(x≤5) = 1 - P(x=0) - P(x=1) - P(x=2) - P(x=3) - P(x=4) - P(x=5)

P(x=0)=\frac{15!}{0!15!} (0.5)^{0} (1-0.5)^{15}=0.00003

P(x=1)=\frac{15!}{1!14!} (0.5)^{1} (1-0.5)^{14}=0.00046

P(x=2)=\frac{15!}{2!13!} (0.5)^{2} (1-0.5)^{13}=0.00320

P(x=3)=\frac{15!}{3!12!} (0.5)^{3} (1-0.5)^{12}=0.01389

P(x=4)=\frac{15!}{4!11!} (0.5)^{4} (1-0.5)^{11}=0.04165

P(x=5)=\frac{15!}{5!10!} (0.5)^{5} (1-0.5)^{10}=0.09164

P(x>5) = 1 - P(x≤5)= 1- 0.00003 - 0.00046 - 0.00320 - 0.01389 - 0.04165 - 0.09164 = 0.8491

4 0
3 years ago
PLSSS ANSWER AND CHECK OHTERS ON MY PAGE!! DUE AT 12:15 AM CURRENTLY 11:35
My name is Ann [436]

Answer:

D

Step-by-step explanation:

Ive done this home before so I know I am right

4 0
3 years ago
What are the answers for 1-4 this is geometry.
elena-s [515]

Answer/Step-by-step explanation:

1. x*21 = 24*14 (intersecting chords theorem)

21x = 336

x = 336/21

x = 16

2. 27*x = 45² (secant-tangent rule)

27x = 2,025

x = 2,025/27

x = 75

3. (x + 5)*5 = (4 + 6)*6 (Intersecting secants theorem)

5x + 25 = (10)*6

5x + 25 = 60

5x = 60 - 25

5x = 35

x = 35/5

x = 7

4. (4x + 2)*8 = (5x + 1)*7

32x + 16 = 35x + 7

Collect like terms

32x - 35x = -16 + 7

-3x = -9

x = -9/-3

x = 3

6 0
3 years ago
How do you get this to its Standard Form?<br>And is it linear?
Alchen [17]

let's bear in mind that

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient


so, let's do away with the denominators by multiplying both sides by the LCD of all fractions, in this case 6.


\bf \cfrac{x}{2}=\cfrac{y+3}{6}\implies\stackrel{\textit{multiplying by }\stackrel{LCD}{6}}{6\left( \cfrac{x}{2} \right)=6\left( \cfrac{y+3}{6} \right)}\implies 3x=y+3\implies \stackrel{\textit{standard form}}{3x-y=3}

4 0
4 years ago
Read 2 more answers
Which inequality says that n + 2 is at least 7?
LekaFEV [45]
The answer is C... or a
4 0
3 years ago
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