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3 years ago

Which value of x is different from the others?

Mathematics

1 answer:

vlada-n [284]3 years ago

4 0

Answer:

Step-by-step explanation:

5x + 4 = -6

5x= -6-4

5x=-10

x=-2

The value of the first expression is x=-2.

x/2 + 3 = 2

x/2 = 2-3

x/2 = -1

x=-2

The value of the second expression is x=-2.

2x+14=10

2x=-4

x=-2

The value of the third expression is x=-2.

-2=-x

2=x

The value of the fourth expression is x=2.

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Find h(g(n)) when h(n) = 2n + 5<br> and g(n) = n +4

Evgen [1.6K]

Answer:

2n+13

Step-by-step explanation:

$h(g(n))\\h(n)=2n+5\\g(n)=n+4\\h(n+4)=2(n+4)+5\\=2n+8+5\\=2n+13$

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2 years ago

Rory built a sand castle that measured 73 inches by 47 inches, and dug a moat around it. afterward he decided to change the cast

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3 years ago

How do you convert 1/40 to a decimal form

dezoksy [38]

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3 years ago

Read 2 more answers

A study showed that 25% of the students drive themselves to school. Based on the suggested probability, in a class of 18 student

Gwar [14]

Answer:

B) 0.283

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.

25% of the students drive themselves to school.

This means that $p = 0.25$

Class of 18 students

This means that $n = 18$

What would be the probability that at least 6 students drive themselves to school?

This is

$P(X \geq 6) = 1 - P(X < 6)$

In which

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

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

$P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{18} = 0.006$

$P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{17} = 0.034$

$P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{16} = 0.096$

$P(X = 3) = C_{15,3}.(0.25)^{3}.(0.75)^{15} = 0.17$

$P(X = 4) = C_{15,4}.(0.25)^{4}.(0.75)^{14} = 0.213$

$P(X = 5) = C_{15,5}.(0.25)^{5}.(0.75)^{13} = 0.199$

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.006 + 0.034 + 0.096 + 0.17 + 0.213 + 0.199 = 0.718$

$P(X \geq 6) = 1 - P(X < 6) = 1 - 0.718 = 0.282$

Closest option is B, just a small rounding difference.

4 0

3 years ago

Given the function f, match the function g with a transformation of f.

docker41 [41]

Given the function f, match the function g with a transformation of f.

f(x) = x2 + 1, g(x) = (x - 2)2 + 1

☆☆☆☆☆☆☆☆a) f(x + 2)

b) f(x) + 2

c) f(x) - 2

d) f(x - 2)

The transformation that occured was a horizontal shift to the right of all the x's.

3 0

3 years ago