NAME
DATE
Write the letter for the correct answer in the blank at the right of each question.
1. Use the Distributive Property to write 2(-5 + 3) as an equivalent expression.
What is the value of the expression?
A. 2(8); 16
C. 2(-5) + 2(3); -4
B. 2(-5) + 3; 13
D. (5 + 3)2; 16
2. Add (-x + 4) + (3x + 2).

Answer:

the answer would be 5.

Step-by-step explanation:

ty for reading :P

The number of ways five complete outfits could be arranged if Johnny had 20 complete living room outfits is 1,860,480 ways

Permutation has to do with arrangement.

Since Johnny had 20 complete living room outfits, for him to arrange different sets of five complete outfits, he can do it in 20P5 number of ways.

The permutation formula is as shown below:

[tex]^n P_r =\frac{n!}{(n-r)!}[/tex]

Hence:

[tex]^{20}P_5=\frac{20!}{(20-5)!}\\ ^{20}P_5=\frac{20!}{(15)!}\\^{20}P_5=\frac{20\times19\times 18 \times 17 \times 16 \times 15!}{15!}\\^{20}P_5=20\times19\times 18 \times 17 \times 16 \\^{20}P_5=1,860,480ways[/tex]

Hence the number of ways five complete outfits could be arranged if Johnny had 20 complete living room outfits is 1,860,480 ways.

Learn more on permutation here: https://brainly.com/question/23779115

Answer:

Domain: (-2, -1, 0, 1)

Range: (4, 2, 0)

This is a function.

Hope that helped!

Answer:

A,C,D.

Step-by-step explanation:

According to the definition of Convex polygon :

The figures shows the convex polygon are : A, C, D and F

A polygon is called a convex polygon when no line segments between the points, goes inside. The boundaries of the convex polygon do not go inside and all the vertices are pointed outside away from the center.

The interior angles of a convex polygon are less than 180°. Regularly, a polygon is firmly convex, if each line segment with two nonadjacent vertices of the polygon is strictly internal to the polygon but on its endpoints. Each non-fragment triangle is definitely convex.

Learn more about Convex polygon at:

https://brainly.com/question/9223125

#SPJ2

Answer:

c

Step-by-step explanation:

Answer:

C. is not a function of x, since the x-values do not correspond to exactly one y-value.

Answer:

wioajfcskaljfcksjhnfkmdesdn,k  obviously

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 even numbers are on a number cube. So, 1/3.

1/3 x 72 = 24

Desmond would roll an even number 24 times.

The answer is 156 7/12. in a mixed number

Answer:

h(x) = 6x^2 - 8x + 3

Step-by-step explanation:

I used the box method. I multiplied (2x * 2x), (2x * -1), (x * 2x), (x * -1), (-3 * 2x), (-3 * -1), and added like terms.

Answer:

d is the answer of graph function

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

This is cause the phrase two thirds refrences as two of three which is a fraction.

Answer:

I think t is 72, because the angle looks equal to the known degree, which is 72. And since all the degrees have to add up to 180, 72+72 is 144 and 180-144 is 36. So angle s is 36 degrees.

Answer:

16

10

4

-2

.....................

Answer:

Y=10

Step-by-step explanation:

Y=3(2)+4

y= 6+4

y= 10

x= +2

why?

because if you add two at -4 you have -2 and you add 2 and u get 0  and u add two again and u get 2.

Answer:

Its B 0.454554555

Step-by-step explanation:

it has a pattern which is repeating. So its known as rational number..

abuenoopp1ñnslzdlowo

Answer:

I think it’s B

Step-by-step explanation:

Answer:

i think C correct me if im wrong pls

Step-by-step explanation:

Answer:

12x7+55

Step-by-step explanation:

Answer:

139

Step-by-step explanation:

12+43=

55

12x7=

84

84+55=

139

Answer: i got 78.54

rounded is 78.5

hope that helps

Answer:

a) 0.8088 = 80.88% probability that there are at most 2 typos on a page.

b) 0.0858 = 8.58% probability that there are exactly 10 typos in a 5-page paper.

c) 0.001 = 0.1% probability that there are exactly 2 typos on each page in a 5-page paper.

d) 0.717 = 71.7% probability that there is at least one page with no typos in a 5-page paper.

e) 0.2334 = 23.34% probability that there are exactly two pages with no typos in a 5-page paper.

Step-by-step explanation:

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Binomial distribution:

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

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The number of typos made by a student follows Poisson distribution with the rate of 1.5 typos per page.

This means that [tex]\mu = 1.5n[/tex], in which n is the number of pages.

(a) Find the probability that there are at most 2 typos on a page.

One page, which means that [tex]\mu = 1.5[/tex]

This is

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-1.5}*(1.5)^{0}}{(0)!} = 0.2231[/tex]

[tex]P(X = 1) = \frac{e^{-1.5}*(1.5)^{1}}{(1)!} = 0.3347[/tex]

[tex]P(X = 2) = \frac{e^{-1.5}*(1.5)^{2}}{(2)!} = 0.2510[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2231 + 0.3347 + 0.2510 = 0.8088[/tex]

0.8088 = 80.88% probability that there are at most 2 typos on a page.

(b) Find the probability that there are exactly 10 typos in a 5-page paper.

5 pages, which means that [tex]n = 5, \mu = 5(1.5) = 7.5[/tex].

This is P(X = 10). So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 10) = \frac{e^{-7.5}*(7.5)^{10}}{(10)!} = 0.0858[/tex]

0.0858 = 8.58% probability that there are exactly 10 typos in a 5-page paper.

(c) Find the probability that there are exactly 2 typos on each page in a 5-page paper.

Two typos on a page: 0.2510 probability.

Two typos on each of the 5 pages: (0.251)^5 = 0.001

0.001 = 0.1% probability that there are exactly 2 typos on each page in a 5-page paper.

(d) Find the probability that there is at least one page with no typos in a 5-page paper.

0.2231 probability that a page has no typo, so 1 - 0.2231 = 0.7769 probability that there is at least one typo in a page.

(0.7769)^5 = 0.283 probability that every page has at least one typo.

1 - 0.283 = 0.717 probability that there is at least one page with no typos in a 5-page paper.

(e) Find the probability that there are exactly two pages with no typos in a 5-page paper.

Here, we use the binomial distribution.

0.2231 probability that a page has no typo, so [tex]p = 0.02231[/tex]

5 pages, so [tex]n = 5[/tex]

We want P(X = 2). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{5,2}.(0.2231)^{2}.(0.7769)^{3} = 0.2334[/tex]

0.2334 = 23.34% probability that there are exactly two pages with no typos in a 5-page paper.

Answer:

9.60

Step-by-step explanation:

100%->10

160%->16

-------------------------------------

100%->16

100%-40%=60%

60%->9.60

Answer:

1.3 meters

Step-by-step explanation:

1/2 + 4/5 = 13/10

13/10 = 1 3/10

1 3/10 = 1.3

Answer:

The answer is 1750 dollars more than his other yearly salary.

Step-by-step explanation:

I am super sorry if it is wrong. It might be.

Answer:

Step-by-step explanation:

4ft^2(144in^2/ft^2)=576 tiles

Answer:

B. 14x = 42

Step-by-step explanation:

The figure is composed of a rectangle and a trapezium

(L*W) + [½(a + b)h] = Area of the figure

Where,

Area = 42

L = 2x

W = 3

a = 3 + 4 = 7

b = 9

h = x

Plug in the values

(2x*3) + [½(7 + 9)x] = 42

6x + [½(16x)] = 42

6x + 8x = 42

14x = 42

Answer:

Option (2)

Step-by-step explanation:

By applying tangent rule in the given right triangle,

tan(42°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(42°) = [tex]\frac{6}{\text{Width}}[/tex]

Width = [tex]\frac{6}{\text{tan}(42)}[/tex]

Width = 6.67

Therefore, width of the given triangle is 6.67 units.

Option (2) is the correct option.