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3 years ago

Simplify the expression. | 10 - (-7) | *

Mathematics

1 answer:

Trava [24]3 years ago

8 0

Answer:

The answer is 17 because whenever you subtract a negative from a positive, just change both the negative and subtraction sign into a addition sign.

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Find the Slope of the Line through each pair of Points : A) ( 8,7) (5 ,-3) B ( -5 ,9) (5, 11) C ( -8 ,4 ) ( -4, -9 ) Remember Sl

Bess [88]

Answer:

THE ANSWER IS THE FIRST ONE

Step-by-step explanation:

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2 years ago

Uadrilateral ABCD is dilated at center (0,0) with scale factor 1/2 to form quadrilateral A'B'C'D'. What is the length of A'B'?

Vitek1552 [10]

Answer:

i think isA

Step-by-step explanation:

8 0

2 years ago

Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States. In Australia, only 1.5% of

Naddik [55]

Answer:

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

Step-by-step explanation:

For each U.S. resident, there are only two outcomes possible. Either they have blood type AB, or they do not. This means that we can solve this problem using binomial probability distribution concepts.

Binomial probability distribution

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

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

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem, we have that:

50 U.S residents are sampled, so $n = 50$

4% of the U.S population has blood type AB, so $p = 0.04$ .

What is the probability that exactly 2 of the U.S. residents have blood type AB?

This is P(X = 2). So:

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

$P(X = 2) = C_{50,2}.(0.04)^{2}.(0.96)^{48} = 0.2762$

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

5 0

3 years ago

Item 3

Kruka [31]

Answer:

The given system as (3,3) as its solution.

Step-by-step explanation:

Here, the given system of the equation is:

4 x + 2 y = 18 ................ (1)

2 x + 3 y = 15 ............... (2)

Now, to use the elimination method, w need to eliminate any of the variable.

Eliminate the variable x in the given system.

Multiply equation (2) with -2 we get,

(2 x + 3 y = 15 )(-2) ⇒ -4x - 6y = -30 ....... (3)

Add (1) and (3), we get:

4 x + 2 y -4x - 6y = 18 -30

or, - 4 y = - 12

or, y = 12/4 = 3 ⇒ y = 3

Putting in (1), we get

4x + 2(3) = 18 or, 4x = 18 - 6 = 12

or, x = 3

(x,y) = (3,3)

Hence, the above system as (3,3) as its solution.

6 0

3 years ago

The sum of three consecutive numbers is 72 what are the smallest of these numbers

Airida [17]

A + b + c = 72

a = b - 1

c = b + 1

(b - 1) + b + (b + 1) = 72

Simplify

3b = 72

b = 24

a = 24 - 1

a = 23

8 0

3 years ago