The circumference of a circle can be found using the formula c=2pie r. which is an equation solve for r?

Answer:

90% probability that a student who receives an A in statistics will also receive an A in calculus

Step-by-step explanation:

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: A in statistics.

Event B: A is calculus

Twenty percent of students in a statistics course receive A’s.

This means that [tex]P(A) = 0.2[/tex]

Furthermore, 60 percent of students with an A in calculus receive an A in the statistics course.

Thirty percent of students in a calculus class receive an A.

This means that [tex]P(A \cap B) = 0.6*0.3 = 0.18[/tex]

What is the probability that a student who receives an A in statistics will also receive an A in calculus?

[tex]P(B|A) = \frac{0.18}{0.2} = 0.9[/tex]

90% probability that a student who receives an A in statistics will also receive an A in calculus

Answer:

.82B

Step-by-step explanation:

I'm hoping you're asking to reduce the price by 18% once, because I'm not sure if that's your question, but it would be .82B. Which is 82% of the original price.

The correct expressions which represent the amount Bo pays for the game is,

⇒ 0.82B

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Bo is buying a board game that usually costs B dollars.

And, The price has been reduced by 18%.

So, The reduced amount of the game is,

⇒ Reduced amount = 18% of B

                               = 18B/100

                               = 0.18B

Thus, The amount of the game Bo pays = B - 0.18B

                                                              = 0.82B

Learn more about the percent visit:

https://brainly.com/question/24877689

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Answer:

Step-by-step explanation:

Median of a dataset is the value at the centre of the dataset after rearrangement.

Given the data {8,x , 4,1}, the median of the set will be two values(x and 4). Since we have two values as the median, we will take their average.

Median of the first data set = x+4/2 ...(1)

For the second dataset  {9,y , 5,2}, the median will be y+5/2

Since we are told that the medians of both datasets are equal, we will equate the value of the medians of both datasets as given below;

x+4/2 = y+5/2

cross multiplying;

2(x+4) = 2(y+5)

Dividing both sides by 2 will give;

x+4 = y+5

From the resulting equation;

y-x = 4-5

y-x = -1

(y-x)² = (-1)² = 1

Answer:

68°

Step-by-step explanation:

Angles 1 and 5 are corresponding angles on parallel lines, hence they are equal

Answer:

B.

Step-by-step explanation:

Answer:

$1.50

Step-by-step explanation:

Answer:$1.5

Step-by-step explanation:

5.5kg cost $8.25

1kg cost __

1kg cost 8.25/5.5

1kg cost $1.5

Answer:

one

Step-by-step explanation:

3x + 20 = 5x

20 = 5x - 3x

20 = 2x

x = 10

one solution

Answer:

40

Step-by-step explanation:

50+40=90

Answer:

2

Step-by-step explanation:

50+40=90

90=complementary angles total

15 songs x 1.25 per song = $18.75 per month for songs.

18.75 per month x 6 months = $112.50

112.50 + 24.00 = $136.50 total

hello

it is c

hehehehe hope it helps

Answer:

The option c. (x-6)(x-1)

Step-by-step explanation:

x^2 - 7x +6

S=-7

P=6

x^2-1x-6x+6

x(x-1)-6(x-1)

(x-6)(x-1)

Answer:

Side-Side-Side is a rule used to prove whether a given set of triangles are congruent. The SSS rule states that: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Step-by-step explanation:

Answer:Side-Side-Side is a rule used to prove whether a given set of triangles are congruent. The SSS rule states that: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Step-by-step explanation:

Answer:

D 3.5

Step-by-step explanation:

A number with a decimal can NOT represent a whole number.

Answer:

50 pictures.

Step-by-step explanation:

It's lit just 35+15=50 pictures

Answer:50

Step-by-step explanation:

Meg took 35 pictures

Kim took 15 pictures

Total pictures =35+15

Total pictures =50

Answer:

I am pretty sure that it is 5/8

Step-by-step explanation:

Answer: 5/8

Step-by-step explanation: 1/4 turns into 2/8 and then subtract 2/8 from 7/8 and you get 5/8

Answer:

Should be the bottom one

Step-by-step explanation:

You can find this by counting. It is the only one with 12 units.

Answer:

Step-by-step explanation:is number 4 i pick it and its correct

Answer:

a = 195 ; c = 615

Step-by-step explanation:

So, you want to start by forming your equations...

I will use 'c' for children and 'a' for adults for my variables

3a + 30 = c  

(this is because of the info that 30 more tickets than 3 times the amount of children's were sold than adult)

then for equation 2:

3c + 5a = 2820

(this is because of the prices of the tickets and the total money raised)

Then, plug in the equation for c

Your equation should look like:

3(3a + 30) + 5a = 2820

You get:

(9a +90) + 5a = 2820

Then:

14a = 2730

So:

a = 195 adult tickets sold

Plug in a, to find c:

3 (195) + 30 = c

585 + 30 = c

c = 615 children tickets sold

Answer:

$733.29. Simply because you take $896•0.12 to find the 12% off and then you take that subtracted by the starting total. After you get the 12% off then you multiply that number by .07 to get the sales tax. After you find that then you add the number you got after multiplying to the number you got after taking off the 12%.

Step-by-step explanation:

Answer:

a; (x|x<3)

Step-by-step explanation:

The following answers are obtained from HW, which it shows answers to.

Answer:

A. The Queen can state, "All the inscriptions are false."If the Queen can state this, in which of the trunks are the treasures hidden?

False, Cannot be determined

(b) The Queen can state, "Exactly one of the inscriptions is true."If the Queen can state this, in which of the trunks are the treasures hidden?

True, Trunk 1 and 3

(c) The Queen can state, "Exactly two of the inscriptions are true."If the Queen can state this, in which of the trunks are the treasures hidden?

True, Cannot be determined

d) The Queen can state, "All the three inscriptions are true."If the Queen can state this, in which of the trunks are the treasures hidden?

False, Cannot be determined

Answer:

a=10

b=6

Step-by-step explanation:

add 2 to 8, to get a, then subtract 4 from 10 to get b

Answer:

10 and 6

Step-by-step explanation:

Answer:

g≥8

Step-by-step explanation:

They need at least 8 goals

g≥8

Answer:

g ≥ 8 goals

Step-by-step explanation:

Atleast 8 means greater than or equal to 8

Answer:

About 99.7% of births would be expected to occur within 51 days of the mean pregnancy​ length

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Standard deviation = 17.

About what percentage of births would be expected to occur within 51 days of the mean pregnancy​ length?

51/17 = 3.

So, within 3 standard deviations of the mean.

About 99.7% of births would be expected to occur within 51 days of the mean pregnancy​ length

Answer:

C equal -5

Step-by-step explanation:

Look at the attachment

Answer:

The answer is "26179.4".

Step-by-step explanation:

Assume year 2000 as t, that is  t =0.

Formula:

[tex]A= A_0e^{rt}[/tex]

Where,

[tex]A_0 = \ initial \ pop \\\\r= \ rate \ in \ decimal \\\\t= \ time \ in \ year[/tex]

for doubling time,

[tex]r = \frac{log (2)}{t} \\[/tex]

[tex]r = \frac{\log (2)}{ 40} \\\\r= \frac{0.301}{40}\\\\r= 0.007[/tex]

Given value:

[tex]A = A_0e^{rt} \\\\[/tex]

[tex]A_0 = 13000[/tex]

[tex]t= 40 \ years[/tex]

when year is 2000, t=0 so, year is 2100 year as t = 100.

[tex]A = 13000 \times e^{et}\\\\A = 13000 \times e^{e \times t}\\\\A = 13000 \times e^{0.007 \times 100}\\\\A = 13000 \times e^{0.7}\\\\A= 13000\times 2.0138\\\\A = 26179.4[/tex]

Answer:

ρ_air = 0.15544 kg/m^3

Step-by-step explanation:

Solution:-

- The deflated ball ( no air ) initially weighs:

                             m1 = 0.615 kg

- The air is pumped into the ball and weight again. The new reading of the ball's weight is:

                            m2 = 0.624 kg

- The amount of air ( mass of air ) pumped into the ball can be determined from simple arithmetic between inflated and deflated weights of the ball.

                           m_air = Δm = m2 - m1

                           m_air = 0.624 - 0.615

                           m_air = 0.009 kg

- We are to assume that the inflated ball takes a shape of a perfect sphere with radius r = 0.24 m. The volume of the inflated ( air filled ) ball can be determined using the volume of sphere formula:

                         V_air = 4*π*r^3 / 3

                         V_air = 4*π*0.24^3 / 3

                         V_air = 0.05790 m^3  

- The density of air ( ρ_air ) is the ratio of mass of air and the volume occupied by air. Expressed as follows:

                         ρ_air = m_air / V_air

                         ρ_air = 0.009 / 0.05790

Answer:            ρ_air = 0.15544 kg/m^3                      

Answer:

1.24

Step-by-step explanation:

Answer:

about 173⁰

Step-by-step explanation:

because it's very close to 180⁰ but isnt it, I'd say between 170 and 180

173 to be safe

Answer:

"A Type I error in the context of this problem is to conclude that the true mean wind speed at the site is higher than 15 mph when it actually is not higher than 15 mph."

Step-by-step explanation:

A Type I error happens when a true null hypothesis is rejected.

In this case, as the claim that want to be tested is that the average wind speed is significantly higher than 15 mph, the null hypothesis has to state the opposite: the average wind speed is equal or less than 15 mph.

Then, with this null hypothesis, the Type I error implies a rejection of the hypothesis that the average wind speed is equal or less than 15 mph. This is equivalent to say that there is evidence that the average speed is significantly higher than 15 mph.

"A Type I error in the context of this problem is to conclude that the true mean wind speed at the site is higher than 15 mph when it actually is not higher than 15 mph."

Answer:

Step-by-step explanation:

The first equation is for receipts. Each x ticket generated $12 in receipts, so the first term needs to be 12x. Each y ticket generated $15 in receipts, so the second term needs to be 15y. U in this set of equations is the total number of tickets, said to be 300.

The equations are ...

  12x +15y = 4140; x +y = 300

__

Using the second equation to write an expression for x, we have ...

  x = 300 -y

Substituting this into the first equation gives ...

  12(300 -y) +15y = 4140

  3600 +3y = 4140

  y = (4140 -3600)/3 = 180

  x = 300 -180 = 120

The number of tickets sold is ...

  $12 tickets -- 120

  $15 tickets -- 180

_____

You might want to notice that the equation we ended up with:

  4140 -12(300) = 3y

is equivalent to this "word solution." This can be done in your head; no equations required.

If all the tickets sold were $12 tickets, the revenue would be $3600. The revenue is $540 more than that. Each $15 ticket generates $3 more revenue than a $12 ticket, so to have $540 more revenue, we must have 540/3 = 180 $15 tickets.

Answer: tickets: 120………180

Step-by-step explanation:

Answer:

The weight of the dog is 12 pounds and the weight of the cat is 4 pounds.

Step-by-step explanation:

Let d represent the weight of the dog. Let c represent the weight of the cat.

Let's make a system of equations.

d+c=16

d=3c

We can use subsitution.

3c+c=16

4c=16

c=4

We can subsitute back into one of the two equations to find the weight of the dog.

d=3c

d=3(4)

d=12

The weight of the dog is 12 pounds and the weight of the cat is 4 pounds.

Answer:

P represents the population in year 0

Step-by-step explanation:

The exponential growth function is f(x) = a (1 + r)^t, where a is the initial

amount (at t = 0), (1 + r) is the factor of growth , r is the rate of growth

in decimal ant is the time of growth

the function C(t) = P(1 + r)^t represents the population of

centerville at year t, where P is the initial population and r is the

rate of increase

If your investment is increased 10% annually, then that means

each year, your total has multiplied itself by 110% (the growth factor

is 1 + 10/100 = 1.1)

(1 + r) is the factor grows each year

C(t) = P(1 + r)^t

C depends on P(starting population) , r(the increasing rate and

t(the time in year)

r is the rate of increase means the percentage of increasing , then

0 < r < 1

r is not less than 0

P is the initial amount when t = 0

P represents the population in year 0

Answer:

P represents the population in year 0

Step-by-step explanation: