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3 years ago

If z is an even integer which of the following expressions must represent an odd integer?

1 answer:

8 0

There is no choice on your list that must represent an odd integer.

If 'z' is an even integer, then (z-1) and (z+1) must both be odd integers.

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Simplify (-6.5)(2)(-5)

VLD [36.1K]

The answer is 65, hope this helps!

5 0

3 years ago

Read 2 more answers

Which transformations map the strip pattern onto itself?

NemiM [27]

Answer:

Step-by-step explanation:

The strip patterns new image and pre image orientation are vertical so anything that has horizontal translation in it is wrong

C is right becuase we can reflect the b across a vertical line to get to P

3 0

3 years ago

According to a study, 50 % of adult smokers started smoking before 21 years old. 5 smokers 21 years old or older are randomly se

belka [17]

Answer:

a) The probability that at least 2 of them started smoking before 21 years of age is 0.1875 = 18.75%.

b) The probability that at most 4 of them started smoking before 21 years of age is 0.96875 = 96.875%.

c) The probability that exactly 3 of them started smoking before 21 years of age is 0.3125 = 31.25%.

Step-by-step explanation:

For each smoker, there are only two possible outcomes. Either they started smoking before 21 years old, or they did not. Smokers are independent, which 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.

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

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.

50% of adult smokers started smoking before 21 years old.

This means that $p = 0.5$

5 smokers 21 years old or older are randomly selected, and the number of smokers who started smoking before 21 is recorded.

This means that $n = 5$ .

a) The probability that at least 2 of them started smoking before 21 years of age is

This is:

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

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

$P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125$

$P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.03125 + 0.15625 = 0.1875$

The probability that at least 2 of them started smoking before 21 years of age is 0.1875 = 18.75%.

b) The probability that at most 4 of them started smoking before 21 years of age is

This is:

$P(X \leq 4) = 1 - P(X = 5)$

In which

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

$P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125$

$P(X \leq 4) = 1 - P(X = 5) = 1 - 0.03125 = 0.96875$

The probability that at most 4 of them started smoking before 21 years of age is 0.96875 = 96.875%.

c) The probability that exactly 3 of them started smoking before 21 years of age is

This is P(X = 3). So

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

$P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125$

The probability that exactly 3 of them started smoking before 21 years of age is 0.3125 = 31.25%.

4 0

3 years ago

2x^2+5x factor please

fredd [130]

<span>2x^2+5x factor please</span>

=

x(2x+5)

try Mathway .com

3 0

3 years ago

A linear function graph has a dotted diagonal line passing through the x-axis at (3, 0), and the y-axis at (0, minus 2) In the f

Delicious77 [7]

The graph which best represents the new function is a linear function on a coordinate plane as shown in the image below.

<h3>How to determine the graph of the new function?</h3>

First of all, we would determine the slope of the linear function as follows:

$Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\\\\Slope, m = \frac{-2\;-\;0}{0\;-\;3}$

Slope, m = ⅔.

Multiplying by -4, the new slope is:

Slope = ⅔ × -4

Slope = -8/3 or 2.7.

For the equation of this line, we have:

y - y₁ = m(x - x₁)

y - 0 = -8/3(x - 3)

y - 0 = -8/3x + 8

y = -8/3x + 8

Decreasing the y-value by 1, we have:

y = -8/3x + 8

y = -8/3x + 8 - 1

y = -8/3x + 7

Therefore, we would have a linear function on a coordinate plane as shown in the image attached below.

Read more on slope here: brainly.com/question/17601248

#SPJ1

4 0

2 years ago