Estimate the quotient 63.5 dividend by 5

Create an equivalent expression that includes a set of parentheses that make the value of the expression 13. Remember, you can h

Y_Kistochka [10]

47 is the answer Since two opposites add up to zero, remove them from the expression, and then you just add up the answers

4 0

3 years ago

Read 2 more answers

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

A cube has a volume of 64 cubic meters what is the length of each edge

Murljashka [212]

Answer:

The length of each side is 4 m

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

64 = s^3

Take the cube root of each side

64 ^ (1/3) = s^3 ^ (1/3)

4 = s

The length of each side is 4 m

7 0

3 years ago

Read 2 more answers

I am doing some algebra homework and we are solving equations by expanding brackets. I was going along fine with the positive nu

LUCKY_DIMON [66]

-10(s + 1) = -87

The same way you do positive numbers, you do negative number. Multiply whatever is in the parenthesis by what's on the outside, which in this case is -10. So:

-10*s + -10*1 = -87
-10s + -10 = -87

To solve, first add -10 to both sides

-10s = -77

next, divide both sides by -10

s = 7.7

To check the answer, plug the solution into the original equation
-10(s+1) = -87
-10(7.7 + 1) = -87
-10(8.7) = -87
-87 = -87

(for the first one, is there a variable involved?)

8 0

3 years ago

Read 2 more answers

What is an equation of the line that passes through the points (-4,-4) and (4,6), answer in fully reduced form.

Lelu [443]

Use

y

2

−

y

2

x

2

−

x

1

4

−

9

2

−

3

=

−

5

−

1

=

5

Answer link

Jim G.

Jun 11, 2018

y

=

5

x

−

6

Explanation:

the equation of a line in

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

to calculate m use the

gradient formula

∙

x

m

=

y

2

−

y

1

x

2

−

x

1

let

(

x

1

,

y

1

)

=

(

2

,

4

)

and

(

x

2

,

y

2

)

=

(

3

,

9

)

m

=

9

−

4

3

−

2

=

5

1

=

5

y

=

5

x

+

b

←

is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using

(

2

,

4

)

then

4

=

10

+

b

⇒

b

=

4

−

10

=

−

6

y

=

5

x

−

6

←

is the equation of lineAnswer:

Step-by-step explanation:

Use

y

2

−

y

2

x

2

−

x

1

4

−

9

2

−

3

=

−

5

−

1

=

5

Answer link

Jim G.

Jun 11, 2018

y

=

5

x

−

6

Explanation:

the equation of a line in

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

to calculate m use the

gradient formula

∙

x

m

=

y

2

−

y

1

x

2

−

x

1

let

(

x

1

,

y

1

)

=

(

2

,

4

)

and

(

x

2

,

y

2

)

=

(

3

,

9

)

m

=

9

−

4

3

−

2

=

5

1

=

5

y

=

5

x

+

b

←

is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using

(

2

,

4

)

then

4

=

10

+

b

⇒

b

=

4

−

10

=

−

6

y

=

5

x

−

6

←

is the equation of line

8 0

3 years ago