which of the following is a polynomial?

Answer:

0.1739 = 17.39% probability that the cab actually was blue

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Witness asserts the cab is blue.

Event B: The cab is blue.

Probability of a witness assessing that a cab is blue.

20% of 95%(yellow cab, witness assesses it is blue).

80% of 5%(blue cab, witness assesses it is blue). So

[tex]P(A) = 0.2*0.95 + 0.8*0.05 = 0.23[/tex]

Probability of being blue and the witness assessing that it is blue.

80% of 5%. So

[tex]P(A \cap B) = 0.8*0.05 = 0.04[/tex]

What is the probability that the cab actually was blue?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.04}{0.23} = 0.1739[/tex]

0.1739 = 17.39% probability that the cab actually was blue

Answer:

0.06938775

Step-by-step explanation:

This is the correct answer.

Answer:34

85% of 40 = 34

Step-by-step explanation:85 percent of 40? = 34.

Answer:

34

Step-by-step explanation:

Answer:

$34.30

Step-by-step explanation:

Use the equation:

F=P(r)

F=final price

P=principal (starting) amount

r=rate, normally a percent and has to be converted to a decimal

**Since this problem asks us to go down, there is no 1+r. That's when it gives us the final price and asks us to find the original.

Plug in the values: F = 49(.7)

F=$34.30 (don't forget the $ sign)

Answer:

[tex]v=\dfrac{\pi}{2}\ ft/s[/tex]

Step-by-step explanation:

Given that,

A wheel with radius 1 foot makes 1 revolution in 4 seconds

We need to find the linera velocity of a point on the edge of the wheel. We know that, the linear velcity is given by :

[tex]v=r\omega[/tex]

Where

[tex]\omega[/tex] is angular velcocity,[tex]\omega=2\pi\ rad[/tex]

[tex]\omega=\dfrac{1}{4}\times 2\pi\\\\=0.5\pi\ rad/s[/tex]

So

[tex]v=1\times 0.5\pi\\\\v=\dfrac{\pi}{2}\ ft/s[/tex]

So, the linear velocity of the wheel is equal to [tex]\dfrac{\pi}{2}\ ft/s[/tex].

Answer:

pi/2

B

Step-by-step explanation:

Got it right on EG

Answer:

free points ty

9514 1404 393

Answer:

  (b)  C = dπ

Step-by-step explanation:

The irrational value π is the ratio between the circumference of a circle and its diameter. That is ...

  π = C/d

Rearranging to get a formula for the circumference, we have ...

  C = dπ

Answer: I'm assuming you want to know how much surface area his fence is, so 40

Step-by-step explanation: First we can divide 15 by 3 to get 5, and then multiply 5 by 8. This gives us 40, which is our answer.

Hope this helps :)

Answer:

ok whats the question tho is it the total length of the fence if it is its 40 pretty sure

Step-by-step explanation:

3/8 of the fence lets say x, equals 15 feet

divide 15 by 3/8 to find x which is 40

Answer:

Step-by-step explanation:

a +

b -

c +

d -

e -

positive, Negative , Positive, Negative, Negative.

A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner.

The given sentences are

(A) Tylers puppy gained 5 pounds.

This we can take as a positive number. Because here the value is increasing. whenever we use gained means it is positive.

Tylers puppy lost 5 pounds is the negative number.

(b) The aquarium leaked two pounds of water

This we can take as a Negative number. Because here the value is decreased. whenever we use leaked means it is negative.

The aquarium added with two pounds of water is a positive.

(c) Andrew received a gift of $10.

This we can take as a positive number. Because here the value is increasing. whenever we use received means it is positive.

Andrew gifted a gift of $10.

This we can take as a Negative number. Because here the value is decreased. whenever we use gifted means it is negative.

(d) Kiran gave a gift of $10

This we can take as a Negative number. Because here the value is decreased. whenever we use gave means it is negative.

Kiran received a gift of $10 is positive.

(e) A climber descended 550 feet.

This we can take as a Negative number. Because here the value is decreased. whenever we use descended means it is negative.

Hence positive, Negative , Positive, Negative, Negative,.

To learn more on Number system click:

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Answer:

the answer would be c

Step-by-step explanation:

the answer would be c because its a fraction

Answer:

ummmm math?

Step-by-step explanation:

Answer:

.42

Step-by-step explanation:

Step-by-step explanation:

Divide 8.40 by 20, use a calculator. Make sure to put $ in your answer.

Answer:

Step-by-step explanation:

7/18-2/9=7/18-4/18=3/18=1/6

Answer:

1/6.

Step-by-step explanation:

7/18−2/9=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(7/18, 2/9) = 18

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(7/18×11)−(2/9×22)=?

Complete the multiplication and the equation becomes

7/18−4/18=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

7−4/18=3/18

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 3 and 18 using

GCF(3,18) = 3

3÷3/18÷3=1/6

Therefore:

7/18−2/9=1/6

Answer:

H. 39.6

Step-by-step explanation:

i promise this is the right answer!

there is a mean, mode, range etc. calculator that can help you!

Answer:

The number of required shelves is 5

You have to find the HCF of 45, 105, and 75.

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

[tex]\frac{4}{12} *\frac{1}{8} =\frac{1}{24}[/tex]

Answer:

I think it might be this one(-2,0)

Answer:

180

hope this helps :)

Answer:

=> P(X <= 62500) = P((X-mean)/sd < (62500-65000)/3000)

= P(Z < -0.8333)

= 1 - P(Z < 0.8333)

= 1 - 0.7967

= 0.2033

=> P(X > 68500) = P(Z > (68500-65000)/3000)

= P(Z > 1.1667)

= 0.1210

=> P(60500 < X < 69500) = P((60500-65000)/3000 < Z < (69500-65000)/3000 )

= P(-1.5 < Z < 1.5)

= 0.8664

=> for P(X < x) = 0.03, for Z = -1.88

X = mean + Z*Sd = 65000 - (1.88*3000) = 59360

Step-by-step explanation:

I'm not sure if that correct , I really try my best to help

The required percent of tires last at least 60,000 kilometers is about 91%.

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation,

To solve this problem, we need to use the standard normal distribution. This is a special type of normal distribution where the mean is 0 and the standard deviation is 1. We can use this to standardize the tire life spans by subtracting the mean (65,000 km) and dividing by the standard deviation (5,200 km).

This gives us a standard normal distribution with a mean of 0 and a standard deviation of 1, and we can use a table or calculator to find the probability of a tire lasting at least 60,000 kilometers.

To do this, we need to find the probability that a tire lasts less than 60,000 kilometers and subtract this from 1. This probability is:

P(tire life < 60,000 km) = P(z < (60,000 - 65,000) / 5,200)

Where z is the standardized tire life span, and the probability is calculated using the standard normal distribution.

Calculating this, we find that P(tire life < 60,000 km) = P(z < -1.346) = 0.0913

Therefore, the probability that a tire lasts at least 60,000 kilometers is 1 - 0.0913 = 0.9087 or about 91%.

Learn more about the standard deviation here:

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Answer:

48 squared inches

Step-by-step explanation:

4x2x6 altogether is 48

Answer:

48 square in.

Step-by-step explanation:

2 × 6 = 12

12 × 4 = 48

so ur answer is 48 square inches

Answer:

The average daily maximum temperature in March is of 61 degrees.

Step-by-step explanation:

The average daily maximum temperature in his hometown in x months after January is given by:

[tex]f(x) = 12.2\cos{(\frac{\pi x}{6})} + 54.9[/tex]

What is the average daily maximum temperature in March?

March is 3 - 1 = 2 months after January, so this is f(2).

[tex]f(2) = 12.2\cos{(\frac{\pi*2}{6})} + 54.9 = 61[/tex]

The average daily maximum temperature in March is of 61 degrees.

Answer:

The answer is "[tex]\bold{(7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} }\\\\[/tex]"

Step-by-step explanation:

Given values:

[tex]\bar{x_1}=7.1\\\\\bar{x_2}=8.3\\\\s_1=1.7\\\\s_2=1.9\\\\n_1=50\\\\n_2=39[/tex]

Using formula:

[tex]\to (\bar{x_1} -\bar{x_2}) \pm t \sqrt{\frac{(s_1)^2}{n_1}+\frac{(s_1)^2}{n_2}} \\\\[/tex]

Put the values in the above formula:

[tex]\to (7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} \\\\[/tex]

Answer:I think 3 years

Step-by-step explanation:

sorry if im wrong

Answer:

42

Explanation:

replace n by 7 since they are equal and therefore the same thing

so 6*7=42

Answer:

81 cubic foot

Step-by-step explanation:

It is given that the box is packed with cubes whose side is 1 foot. So the volume of one cube is 1 cubic foot.

Now from the figure, we can see that :

Number of cubes fitting the box across its length = 9 cubes

Number of cubes fitting the box across its width = 3 cubes

Number of cubes fitting the box across its height = 3 cubes

And each of these cubes measures 1 x 1 x 1 cubic foot

So the volume of the box can be found out by:

Volume = length x width x height

             = 9 x 3 x 3

             = 81 cubic foot

Therefore volume of the box is 81 cubic foot.

Answer:

C, D, E

Step-by-step explanation:

I did the USATESTPREP

Answer:

the answer is 2575 I believe

Step-by-step explanation:

(2500x3x1/100)

(2500+75)