List two pairs of angles in square CDFG that are complementary

Answer:

167 books.

Step-by-step explanation:

30% =  50 books

1% = 50/30

100% =  (50/30) * 100

= 167 books.

Answer:

The company must replace 0.0042 = 0.42% of packages.

Step-by-step explanation:

For each screw, there are only two possible outcomes. Either it is defective, or it is not. The probability of an screw being defective is independent of any other screw. This 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.

[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.

It is known that screws produced by a certain company will be defective with probability 0.01.

This means that [tex]p = 0.01[/tex]

The company sells the screws in packages of 10

This means that [tex]n = 10[/tex]

That is, the package would have to be replaced if greater or equal to 2 screws are defective. What proportion of packages sold must the company replace?

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which:

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

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

[tex]P(X = 0) = C_{10,0}.(0.01)^{0}.(0.99)^{10} = 0.9044[/tex]

[tex]P(X = 1) = C_{10,1}.(0.01)^{1}.(0.99)^{9} = 0.0914[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.9044 + 0.0414 = 0.9958[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9958 = 0.0042[/tex]

The company must replace 0.0042 = 0.42% of packages.

Answer:

See answers below

Step-by-step explanation:

Using the sin rule

a/sinA = b/sinB = c/sinC

a) x/sin110 = 16/sin27

xsin27 = 16sin110

xsin27  = 15.035

x = 15.035/sin27

x = 33.1

2) Using the cosine rule;

x² = 30²+14²-2(30)(14)cos125

x²  = 900 + 169 - 840cos125

x²   = 1069 - 840(-0.5735)

x² = 1069 +481.80

x² = 1,550.80

x =39.4

3) 28² = 18²+12²-2(18)(12)cosx

784 =  324 + 144- 432cosx

784 - 468 = - 432cosx

316 = - 432cosx

Cos x = -316/432

x = - 42.99

x = 180 - 42.99

x = 137.0 degrees

4) Using the sine rule

20/sinx = 33/sin91

33sinx = 20sin91

sinx = 20sin91/33

sinx = 19.997/33

sinx = 0.6059

x = arcsin(0.6059)

x = 37.3degrees

Answer:

Your answer is C

Step-by-step explanation:

You first look at what is in the parenthesis, and you do the opposite. In this case the opposite of one to the right is -1. Then you look on the outside of the equation. The graph when down three places, so -3

Answer:

y= -2/3x+9

Step-by-step explanation:

just do y=mx+b

Answer:

your answer should be 6! :)

Answer:

(x+)^3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Do I need to explain?

Answer:

D(8)

Step-by-step explanation:

So remember, 2 opposite sides of a triangle are equivelent.

We know that one of these sides are 3.

So the other side must be 3 as well.

This is 2 of the 4 sides of a rectangle.

If each side is 3, and there are two sides, this means that they add up to 6.

Subtract this from your total permiter:

22-6

=

16

Now remember, there are 2 sides left.

To find the answer, divide the 16(permiter left) by the 2(sides left):

16/2

=

8

This is your answer!

Hope this helps! :)

Answer:

x=8

Step-by-step explanation:

2x+2 = 4x-14

16=2x

x=8

Answer:

b=8

Step-by-step explanation:

You multiply $0.50 by 6 (to get the amount of money she spent on lollipops)=3 then you take the 3 and subtract it from $15 which gives you 12, finally you get 1.50-12 and do that 8 times which means she bought 8 candy bars

Answer:

f(5) = 15

Step-by-step explanation:

To evaluate f(5) substitute x = 5 into f(x) , that is

f(5) = 5² - 2(5) = 25 - 10 = 15

Answer:

awww neither do i

Step-by-step explanation:

lol I got a 72 on my matb homework going to go jump off a cliff

let h= 4, k=-2 and r= 7 then

(x-h)^2 + (y-k)^2 = r^2

(x-4)^2 + (y+2)^2 = 7^2

x^2 -8x +16 + y^2 +4y +4 = 49

x^2 +y^2 -8x +4y +16 +4-49 = 0

x^2 + y^2 -8x +4y -29 = 0 is the required eq

Answer:

Difference between both pay = £5

Step-by-step explanation:

Given:

Basic pay of Ryan = £60 per day

Basic pay of carl = £60 per day

Ryan get bonus = 25% of basic pay

Carl get = £20 as tip

Find:

Difference between both pay

Computation:

Total of Ryan pay = 60 + 25%(60)

Total of Ryan pay = 60 + 15

Total of Ryan pay = £75

Total of Carl pay = 60 + 20

Total of Ryan pay = £80

Difference between both pay = 80 - 75

Difference between both pay = £5

Answer:

he would need 2 2/8 cups of milk

Step-by-step explanation:

you would just  need to subtract 3 7/8 from 6 1/8

6 1/8 - 3 7/8 = 2 2/8

Answer:

x=63

Step-by-step explanation:

The degree measure of a line is 180 degrees.

180 degrees is made up of 117 and x

117+x=180

x=63

Answer:

x=3

y=6

Step-by-step explanation:

ez pz

Answer:

Option B.

Step-by-step explanation:

Have a great day!

you don’t have to give Brainliest ;)

Answer:

6√5

Step-by-step explanation:

REMEMBER THE REMAINDER

Answer:

6[tex]\sqrt{5}[/tex]

Step-by-step explanation

1. Factor 180 into square numbers

180 = 9*4*5

2. [tex]\sqrt{180}[/tex] = [tex]\sqrt{9*4*5}[/tex]

3. Bring out the square numbers to the outside of the square root.

4. 3*2[tex]\sqrt{5}[/tex] = 6[tex]\sqrt{5}[/tex]

Answer:

Step-by-step explanation:

(5a + 18) + (48 - a) + (8a - 30) = 180 (Angles on a straight line)

5a + 18 + 48 - a + 8a - 30 = 180

12a + 36 = 180

12a = 180 - 36

a = 144/12

a = 12

therefore, the first angle is, 78 degree, second angle is 36 degree and third angle is 66 degree.

Therefore, the size of the smallest angle is 36 degree

Answer:

c

Step-by-step explanation:

hope it helps[]~(￣▽￣)~*

Answer:

c

Step-by-step explanation:

c because it’s most likely correct and I took the test

hope it helps

Answer:

Step-by-step explanation:

∠A = 90° because AC is diameter of the circle P.

Since ABC is right triangle and ∠A is 45°, the remaining angle is also 45°:

Answer:

ertgyhj

Step-by-step explanation:

Answer:

B. 80 students

Step-by-step explanation:

[tex]\frac{56}{y} :\frac{70}{100}[/tex]

y · 70 = 56 · 100

70y = 5600

70y ÷ 70 = 5600 ÷ 70

y = 80

Answer:

<15

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

The answer is 117

Answer: The answer is not listed

Step-by-step explanation:

Answer:

4th Option, [tex]\frac{12}{5}[/tex]

Hope this helps!

Answer:

35C12 = 834451800

Step-by-step explanation:

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

The solution of the given expression is 3.33  x  10⁹.

The arrangement of the different things or numbers in a number of ways is called the combination.

The solution will be:-

[tex]^{35}{C_{12}=\dfrac{35!}{12!\ 23!}\\\\\\\\\\\\\\^\\35}{C_{12}=\dfrac{35\times 34\times 33\times32\times 31\times 30\times 29\times 28\times 27\times 26\times 25\times 24}{12\times 11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times }\\\\\\[/tex]

[tex]^{35}{C_{12}=3.33\times 10^9[/tex]

Therefore the solution to the given expression will be [tex]^{35}{C_{12}=3.33\times 10^9[/tex]

To know more about combinations follow

https://brainly.com/question/11732255

#SPJ2

Answer:

it's C

Step-by-step explanation:

Imagine a coordinate plane. Move 5 units away, you'll end up with (-5, 2).

Hope I helped