Find the area of the composite figure.
A. 27.5 sq in
B. 37.5 sq in
C. 45 sq in
D. 55 sq in

Answer:

[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses

Step-by-step explanation:

For each fuse, there are only two possible outcomes. Either they are defective, or they are not. The probability of a fuse being defective is independent of any other fuse. 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.

Probability of a vehicle having all defective fuses:

5% of fuses are defective, which means that [tex]p = 0.05[/tex]

A vehicle has 4 fuses, which means that [tex]n = 4[/tex].

This probability is P(X = 4). So

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

[tex]P(X = 4) = C_{4,4}.(0.05)^{4}.(0.95)^{0} = 0.00000625[/tex]

If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses?

For each vehicle, 0.00000625 probability of having all defective fuses. For 2:

[tex](0.00000625)^2 = 3.9 \times 10^{-11}[/tex]

[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses

Answer:

I think it's six

Step-by-step explanation:

A= 1

b= 2

c= 3

Answer:  x = 3

Step-by-step explanation:

Subtract 1

 2^x = 8

Take the log.

 x·log(2) = log(8)

Divide by the coefficient of x.

 x = log(8)/log(2) = log₂(8)

We know that 8 = 2³, so log₂(8) = 3.

 x = 3

_____

If your equation is ...

 2^(x+1) = 9

then

 x + 1 = log(9)/log(2)

 x = log(9)/log(2) -1 . . . . . . change of base formula can be used, but isn't helpful unless you have a calculator that computes log₂(9).

 x ≈ 2.170

The value of x from the logarithmic equation is x = 3

The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm

The properties of Logarithm are :

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

2ˣ + 1 = 9   be equation (1)

On simplifying the equation , we get

Subtracting 1 on both sides of the equation , we get

2ˣ = 8

Now , taking logarithm on both sides of the equation , we get

log ( 2 )ˣ = log ( 8 )

From the laws of logarithm , we can simplify

x log ( 2 ) = log ( 8 )

And , on further simplification , we get

x log ( 2 ) = log ( 2 )³

So , x log ( 2 ) = 3 log ( 2 )

Divide by log ( 2 ) on both sides of the equation , we get

x = 3

Hence , the value of x = 3

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Answer:

1200000000

Step-by-step explanation:

Answer:

1/365

Step-by-step explanation:

The probability of being born any day of the year is 1 or more specifically: 365/365. Since Person B must be born on the same day as Person A their probability is 1/365

Answer:

Person A can be born on any day of the year since they’re the first person we’re asking. The probability of being born any day of the year is 1 or more specifically: 365/365.

Since Person B must be born on the same day as Person A their probability is 1/365.

We want both of these events to happen so multiply the probabilities:

So you have a 0.27% chance of walking up to a stranger and discovering that their birthday is the same day as yours.

I think you are happy with this answer

Answer:

A: numerical

B:catergorical

C:catergorical

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

There are 2 categories male and female and 1 attribute those who text during driving so the number of cells is 2*1= 2

And degrees of freedom is found by subtracting 1 from k= k-1= 2-1= 1 where k is the number of the categories

The degrees of freedom for this chi square test of proportions is 1

The critical value for ∝= 0.05 is .χ²≥ χ²(0.05,1)= 3.84

The critical value for ∝= 0.01 is .χ²≥ χ²(0.05,1)= 2.71

Answer:

[tex]y = 18*4^x[/tex]

Step-by-step explanation:

We want an exponential equation in the following format:

[tex]y = ab^x[/tex]

Point (0,18):

This means that when [tex]x = 0, y = 0[/tex]. So

[tex]y = ab^x[/tex]

[tex]18 = ab^0[/tex]

[tex]a = 18[/tex]

So

[tex]y = 18b^x[/tex]

Point (2,288):

This means that when [tex]x = 2, y = 288[/tex]. So

[tex]y = 18b^x[/tex]

[tex]18b^2 = 288[/tex]

[tex]b^2 = \frac{288}{18}[/tex]

[tex]b^2 = 16[/tex]

[tex]b = 4[/tex].

So

[tex]y = 18*4^x[/tex]

Answer:

8.333333333 or 25 /3​

Step-by-step explanation:

Answer:

Choice B

A = b x h

Step-by-step explanation:

In other words the area of a parallelogram is the base times height

Answer:

area = 42.8 in²

Step-by-step explanation:

Height = 7 1/8 in

area = 7 1/8 x 12 x 1/2 = 42.8 in²

Answer:

Option A, (x + 6, y - 4)

Hope this helps!

Answer:

1st option

Step-by-step explanation:

Consider the coordinates of R and R'

R (2, 6 ) and R' (8, 2 )

R → R' in the x- direction is + 6 ( 2 to 8 )

R → R' in the y- direction is - 4 ( 6 to 2 )

Then the translation rule is

(x, y ) → (x + 6, y - 4 )

Answer:

A

Step-by-step explanation:

The correct reason should be These segments are mapped onto each other, so they are congruent.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

We have the statements as

Segments AB and CD coincide

Now, Vinay concluded: "Segments AB and CD have no angles with the same measurement, so they are not congruent."

As per Vinay the lines would never able to coincide if they are not congruent.

So, the correct reason should be These segments are mapped onto each other, so they are congruent.

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Answer:

i took this test along time ago 3,1,1

Answer:

.

Step-by-step explanation:

Answer:

a = 6 and b = 4

Step-by-step explanation:

hopefully this makes sense

:)

Answer:

7,3921

Step-by-step explanation:

Answer:

[tex]\huge\colorbox{violet}{✏﹏ \: ᴀɴsᴡᴇʀ \: }[/tex]

4242

2 = 200 ( 2 is in hundred's place )

4242

2 = 2 ( one's place )

Difference = ?

[tex] = 200 - 2 \\ = 198[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Answer:

Christa went shopping for back to school clothes.

She paid a total of 176 dollars before the tax was added on.

Now, how much will she be paying if the sales tax is 6% what was the total amount she paid.

Solutions:

=> 176 dollars * 6% to get the amount

=> 6% / 100% = 0.06

=> 176 dollars * .06 = 10.56

Now, let’s add to get the answer

=> 176 dollars + 10.56 dollars = 186.56 dollars

Step-by-step explanation:

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Answer:

it should be d $186.56

Step-by-step explanation:

this should help you

Answer:

D. 49

Step-by-step explanation:

The area of a circle is pi times the radius squared (A = pi r^2).

so putting in your numbers given you get 7^2

which equals 49

Answer:

i believe its dependent

Step-by-step explanation:

Answer:

It’s d

Step-by-step explanation:

The sum of the series is given by option D.

A sequence of numbers such that the consecutive term is increasing or decreasing by a fixed ratio is called a geometric series.

The series is

7/9+7/27+7/81+1/243 +.................

The common ratio is

(7/27) / (7/9) = 1/3

r < 1

The sum of the geometric series when r < 1 is given by

Sn = a ( 1-rⁿ)

Sn = [tex]\rm \lim_{n \to \infty}[/tex] (7/9) ( 1- (1/3)ⁿ)

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Answer:

m = 0

Step-by-step explanation:

Answer:

12 inches

Step-by-step explanation:

Find the square root

144² ÷ 2 = 12

Therefore, the length of one of the sides of the board with an area of 144 sq. in is 12 inches.