Irene can snap 48 times in 8 minutes at a constant rate. How many
times can she snap in 9 minutes?

Using conditional probability, it is found that the correct statement is given by:

C. If P(A | B) = P(A) and P(B | A) = P(B), then the events are independent.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which:

If two events are independent, we have that:

\(P(A \cap B) = P(A)P(B)\).

Hence:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)\)

\(P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{P(A)P(B)}{P(B)} = P(A)\)

Which means that option C is correct.

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Answer:

y = 0.45 × x

y = 0.45 × 12

y = 5.4

Step-by-step explanation:

The chair costs $5 and 40 cents

Answer:

0.05

Step-by-step explanation:

Well... Hope it helps you..??..

I calculated your question though..

But, your welcome in advance..

(◍•ᴗ•◍)

The cost of each sandwich, given the number that was sold and the profit made was  $15.

Let S be the price of a sandwich and A be the price of a salad.

From the lunch sale, we know:

14 S + 14 A = $280

From the evening sale, we know:

42S + 154 A = $ 1400

Simplify the first equation by dividing through by 14:

S + A = $20

Solving this equation for S gives:

S = $20 - A

Substitute this equation into the second equation:

42 ( $20 - A ) + 154 A = $1400

$ 840 - 42 A + 154 A = $1400

112A = $560

A = $5

Substitute A = $5 into the first equation:

S + $5 = $20

S = $15

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The scale factor being used to reduce it is, 1/4. So option B is correct.

Scale factor is a mathematical term, which we use to scale 2-dimensional and 3-dimensional shapes. Scale factor is a measure of similar figures. Those figures who look the same but are in different sizes.

For example, Two spheres look similar but could have different radii.

The scale factor being used to reduce the 16-by-20 inch print to the 4-by-5 inch print is 1/4.

To find the scale factor, divide the original dimension by the reduced dimension:

For the length dimension: 16 inches / 4 inches = 4

For the width dimension: 20 inches / 5 inches = 4

Since both the length and width dimensions have the same scale factor, we can conclude that the scale factor is 1/4.

So the answer is 1/4.

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Answer:

4.5

Step-by-step explanation:

Probably too late for your RSM homework, but here is the solution:

6/(9-x) [Time they motored upstream] +6/x [Time it took the bottle to get back to the starting point] = 8/3 [Total Time]

Simplify to 54/(x(9-x))=8/3

Cross multiply: 162=(8x)(9-x)

Simplify -x^2+9x=20.25

Multiply both sides by negative one and move 20.25 to the other side. x^2-9x+20.25=0

Solve and get 4.5 :D!

Answer:

im pretty shure its 24$ because 20% of 20 is 4

Answer:

24$

Step-by-step explanation:

he wants to leave a 20% tip and 20% = 1/5 so 1/5 of 20 = 4

to find the total bill add the 1/5 to the cost

20+4=24

Answer:

1 box of 20 and 1 box of 14

They will cost $410

Step-by-step explanation:

1. Find how many boxes of 20 DVD movies can be bought

415 - 240 = 175

1 box of 20 DVD movies can be sold

2. Find how many boxes of 14 DVD movies can be bought from $175

175 - 170 = 5

1 box of 14 DVD movies can be bought

3. Find the cost

240 + 170 = 410

There is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

To determine whether there is enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes, we can conduct a one-sample t-test with the following hypotheses:

Null hypothesis: The true mean time in changing a muffler is equal to 13 minutes.

Alternative hypothesis: The true mean time in changing a muffler is less than 13 minutes.

Use the formula to calculate the test statistic,

\(t = \dfrac{(x - \mu)} { \dfrac{s} { \sqrt{n}}}\)

where x is the sample mean, μ is the hypothesized population mean (13 minutes), s is the sample standard deviation, and n is the sample size (6).

Plugging in the numbers, we get:

t = (12.3 - 13) / (2.3 / √6) = -0.72

Using a t-distribution table with 5 degrees of freedom (n - 1), we find that the critical value for a one-tailed test with α = 0.05 is -2.571. Since our calculated t-value (-0.72) is greater than the critical value, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

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Answer:

Step-by-step explanation:

Answer:

2, 8 and 14

is this for the subject math

After solving simple arithmetic we have found that, Professor V teaches physics as Professor P = English, Professor Q =Chemistry, Professor R =  Maths, Professor S = Biology, Professor T=  Geography, Professor U = history.

Arithmetic is the branch of mathematics concerned with the study of numbers through various operations on them. The basic operations of math are addition, subtraction, multiplication, and division.

It is said that Each professor teaches a different subject and not more than two subjects are taught on any one which means

1 teacher = 1 subject

1 day = 2 subjects

We have given that

Chemistry is taught by professor Q on Tuesday

Professor Q is Chemistry teacher

Professor S teaches on Friday but neither Geography nor Physics

Professor U teaches History but neither on Thursday nor on Friday

Professor U is History teacher

Professor P teaches English on the day on which History is taught

Professor P is English teacher

Professor R teaches Maths on Monday

Professor R is Maths teacher

Geography and Chemistry are taught on the same day

Which means geography is taught on Tuesday

Tuesday = geography and Chemistry  (1 day = 2 subjects)

Professor U and Professor P teaches history and English on the same day and it is either Monday or Wednesday as Tuesday already filled and they don't teach on Thursday or Friday.

But it couldn't be Monday as Professor R teaches Maths on Monday and there could only be two subjects

So,

Wednesday = history and English  (1 day = 2 subjects)

Professor S teaches on Friday but neither Geography nor Physics and other teachers are taken for Chemistry, math, English and history, so Professor S is Biology teacher

There are seven subjects and 5 days which means three subjects are learned twice at the end of the week

Mondays = Maths and 1 other subject

Tuesday = geography and Chemistry

Wednesday = history and English

Thursday = Professor V(subject) and any of the repeated subject

Friday = Biology and any of the repeated subject

As Biology is a repeated subject we can assume that it is also learned on Monday, We have found that Professor U and Professor P teaches history and English on the same day and Geography and Chemistry are taught on the same day, so the repeated subjects are neither history, English, Geography, nor chemistry.

Which means repeated subject could only be Maths, Physics and biology

But for Friday it could only be maths or physics

As Geography could only be taught on same days with chemistry it means professor T teaches geography as Chemistry is taught by professor Q on Tuesday and Geography and Chemistry are taught on the same day so Professor V wont be teaching on that Tuesday.

Thus, we have

Professor P = English

Professor Q =Chemistry

Professor R =  Maths

Professor S = Biology

Professor T=  Geography

Professor U = history

Professor V = ?

Only subject left is Physics

So, professor V teaches physics

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Full question

Which of the following subjects is taught by professor V?

Answer:

4

Step-by-step explanation:

because i know how to do it

Answer:

A. 4

Step-by-step explanation:

Square root means " a number which produces a specified quantity when multiplied by itself."

When you multiply 4 and 4, you get 16.

The inequality value that would be able to show/x/ ≤ 5 is option A

In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.

The symbol that we have  is telling us that the value of the x would be less than  or it would be seen to be equal to five.

We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A

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Answer:

The area is 84

Step-by-step explanation:

The formula for the area of a trapezoid is  

A + B

--------- h    

  2    

12 = a     2+2 + 12 = b    h = 6

From there the math is easy.

Answer:

1/4 cup each

Step-by-step explanation:

Take the amount of ice cream and divide by 3

3/4÷ 3

Copy dot flip

3/4 * 1/3

Rewriting

3/3 * 1/4

1/4 cup each

Answer:

Step-by-step explanation:

The domain is the possible values for x

x=[-2, 1) notice the round brace next to the 1 because one is not in the domain

The range is the possible values of y

y=[0, 4]

We know the formula

\(\boxed{\displaystyle\int x^ndx=\dfrac{x^{n+1}}{n+1}+c}\)

\(\\ \displaystyle\longmapsto \int (1+3x+2y)dx\)

\(\\ \displaystyle\longmapsto \dfrac{3x^{1+1}}{1+1}+\dfrac{2y^{1+1}}{1+1}+1\)

\(\\ \sf\longmapsto \dfrac{3x^2}{2}+\dfrac{2y^2}{2}+1\)

\(\\ \sf\longmapsto \dfrac{3x^2}{2}+y^2+1\)

\(\\ \sf\longmapsto \dfrac{3x^2+2y^2+2}{2}\)

Answer:

\(\\\int _{\:}^{\:}\int _{\:}^{\:}\:1+3x+2y\:dxdy=Cy+\frac{3x^2}{2}y+xy+xy^2+C\)

Step-by-step explanation:

\(\\\int _{\:}^{\:}\int _{\:}^{\:}\:1+3x+2y\:dxdy\)

\(\int _{\:}^{\:}\left(1+3x+2y\right)\:dx\:=x+2yx\:+\frac{3x^2}{2}+C\)

\(=\int \left(x+2yx+\frac{3x^2}{2}+C\right)dy\)

\(=Cy+\frac{3x^2}{2}y+xy+xy^2+C\)

Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

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Answer:

1/2, 3/6, 8/16, and 5/10 are all equivalent

Step-by-step explanation:

they all equal 1/2 simplified or .50

The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.

To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.

Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.

The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units

Area of the inner rectangle = length × width= 6 × 4 = 24 square units

Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units

Therefore, the area of the shaded region is 264 square units.

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The required fifth roots of the given complex number as ⁵√3i = ⁵√3·⁵√i.

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,

where a, and b are real numbers and i is an imaginary number.

The complex number is given in the question following as

3i

We have to determine the fifth roots of the given complex

As per the given question, we have

⇒ ⁵√3i

Apply the radical rule ⁿ√ab = ⁿ√aⁿ·√b,  (Assuming a ≥ 0, b ≥ 0)

⇒ ⁵√3·⁵√i

Thus, the required fifth roots of the given complex number as ⁵√3i = ⁵√3·⁵√i.

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Answer: there are 9 dims

Step-by-step explanation:

Answer:

x/4

Step-by-step explanation:

I hope this helped

The number of complex zeroes that the polynomial has in the graph is 1.

Given a graph of a polynomial.

We have to find the complex zeroes of the polynomial.

Complex zeroes of a polynomial are the zeroes of the polynomial which are complex numbers.

The zeroes of a polynomial functions are the x intercepts of the graph of the function.

x intercepts are the points which touches the X axis.

Here the graph touches the X axis at x = -4, x = -2, x = 1 and x = 4.

So there are 4 real roots.

The degree of the polynomial is the number of times that the direction of the graph changes.

Here degree = 5

Number of real roots = 4

Number of imaginary roots = 1

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Answer:

the dollar for 9 interstate is 16 rupees is and interest rate for 88 percentage is is 14 rupees

Answer:

mutiple the ft number by the same number to get area

Step-by-step explanation:

2x2=4

3x3=9

5x5=25

8x8=64

Hope this helps :)

Answer: 2ft = 4 square feet. just multiply the side lenght number by 2 and thats how u get the answer

Answer:

11x+2y

Step-by-step explanation:

Answer:

The smallest 5 digit number is 10,000 and the greatest 5 digit number is 99,999. There are 90,000 five-digit numbers in all.

The probabilities are given as follows:

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 104.2, \sigma = 87.9, n = 48, s = \frac{87.9}{\sqrt{48}} = 12.69\)

The probability is the p-value of Z when X = 129.6 subtracted by the p-value of Z when X = 85.2, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (129.6 - 104.2)/87.9

Z = 0.29 has a p-value of 0.6141.

\(Z = \frac{X - \mu}{\sigma}\)

Z = (85.2 - 104.2)/87.9

Z = -0.22 has a p-value of 0.4129.

Hence:

0.6141 - 0.4129 = 0.2012 = 20.12%.

For the sample mean, we use the standard error, hence:

\(Z = \frac{X - \mu}{s}\)

Z = (129.6 - 104.2)/12.69

Z = 2 has a p-value of 0.9772.

\(Z = \frac{X - \mu}{s}\)

Z = (85.2 - 104.2)/12.69

Z = -1.5 has a p-value of 0.0668.

Hence:

0.9772 - 0.0668 = 0.9104 = 91.04%.

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Answer:

4) Larger/smaller, Size

5) Whichever are larger then the original, depends on if green or blue is original

Step-by-step explanation: