Vito uses 999 liters of water to water 242424 flower pots. He is wondering how many liters of water (w)(w)left parenthesis, w, right parenthesis it would take to water 404040 flower pots. He assumes he'll use the same amount of water on each pot.

a) The probability histogram of pmf for the number of students who show up for a professor's office hour on a particular day is shown below.

b) The probability that at least two students show up = 0.55 and the probability that more than two students show up = 0.25

c) The probability that between one and three students show up = 0.7

d) The probability that the professor shows up = 0.20

First we write the number of students who show up for a professor's office hour on a particular day and their pmf in tabular form.

x        p(x)

0       0.20

1       0.25

2       0.30

3       0.15

4       0.10

The probability histogram of this data is shown below.

The probability that at least two students show up would be,

P(x ≥ 2) = p(2) + p(3) + p(4)

P(x ≥ 2) = 0.30 + 0.15 + 0.10

P(x ≥ 2) = 0.55

Now the probbability that more than two students show up:

P(x > 2) = p(3) + p(4)

P(x > 2) = 0.15 + 0.10

P(x > 2) = 0.25

The probability that between one and three students show up would be:

P(1 ≤ x ≤ 3) = p(1) + p(2) + p(3)

P(1 ≤ x ≤ 3) = 0.25 + 0.30 + 0.15

P(1 ≤ x ≤ 3) = 0.7

And the probability that the professor shows up would be: p = 0.20

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A 1-sample t-test is a statistical method used to determine whether a sample of data is significantly different from a known or hypothesized population mean.

It is a common method used in scientific research and it can be used to test hypotheses in many different fields. The t-test compares the mean of a sample to a population mean, and it uses the t-distribution to calculate the probability that the sample mean is significantly different from the population mean. To perform a 1-sample t-test, you need to have a sample of data and a known or hypothesized population mean, and the test assumes that the data is normally distributed and that the variances between the sample and population are equal.

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Answer:

8 is the maximum he can get.

Step-by-step explanation:

Good luck!

To determine Cody's total revenue if he charges $20 for each mailbox, we need to know the number of mailboxes he sells. Let's denote the number of mailboxes as 'n'.

Cody's total revenue can be calculated by multiplying the price per mailbox ($20) by the number of mailboxes sold (n):

Total revenue = Price per mailbox × Number of mailboxes sold

Total revenue = $20 × n

Therefore, Cody's total revenue will be $20n, where 'n' represents the number of mailboxes he sells.

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You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.

The relationship between the two variables in a bivariate data set is graphically represented by a scatter plot. Consider them to be the graphic depiction of two data sets that have been combined by allocating each axis in the plot to a distinct variable.

Due to the presence of two variables, this type of data is known as bivariate data. Only 1 variable may be displayed on a line plot. You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.

The standard deviation of each variable and the covariance between them must first be determined in order to calculate the Pearson correlation. Covariance is subtracted from the product of the standard deviations of the two variables to get the correlation coefficient.

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Step-by-step explanation:

\( = \lim \limits_{x \to0}x \cot(2x) \)

\( = \lim \limits_{x \to0} \frac{x}{ \tan(2x) } \)

\( = \lim \limits_{x \to0} \frac{x}{ \tan(2x) } \times \frac{2x}{2x} \)

\( = \lim \limits_{x \to0} \frac{2x}{ \tan(2x) } \times \lim \limits_{x \to0} \frac{x}{2x} \)

\( = \lim \limits_{u \to0} \frac{u}{ \tan(u) } \times \frac{1}{2} \)

\( = \frac{1}{2} \)

Answer:

n=8

Step-by-step explanation:

The point \((- \ln(3)/2, y(- \ln(3)/2))\) is an inflection point where the concavity changes from up to down.

To determine the concavity and inflection points of the function \(y = e^{-t} - e^{-3t}\), we need to analyze its second derivative. Let's find the first and second derivatives of \(y\) with respect to \(t\):

\(y' = -e^{-t} + 3e^{-3t}\)

\(y'' = e^{-t} - 9e^{-3t}\)

To determine concavity, we examine the sign of the second derivative. When \(y'' > 0\), the function is concave up, and when \(y'' < 0\), it is concave down.

Setting \(y''\) to zero, we solve \(e^{-t} - 9e^{-3t} = 0\) for \(t\), which gives \(t = -\ln(3)/2\).

Considering the intervals \(-\infty < t < -\ln(3)/2\) and \(-\ln(3)/2 < t < \infty\), we can analyze the signs of \(y''\).

For \(t < -\ln(3)/2\), \(y''\) is positive, indicating a concave up portion. For \(t > -\ln(3)/2\), \(y''\) is negative, indicating a concave down portion.

Hence, the point \((- \ln(3)/2, y(- \ln(3)/2))\) is an inflection point where the concavity changes from up to down.

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1,True

2,True

3.True

4.True

5.True

6.True

The statement ∼b∨∼g is equivalent to b→∼g, so if b→∼g is a premise, the truth value of ∼b∨∼g is true.

The statement ∼(∼b→g) is equivalent to b∨g, so if b∨g is a premise, the truth value of ∼(∼b→g) is true.

The statement ∼g→b is the contrapositive of ∼b→g, and contrapositives are logically equivalent. Therefore, if ∼b→g is a premise, the truth value of ∼g→b is true.

The statement ∼(∼b→∼g) is equivalent to g→b, so if g→b is a premise, the truth value of ∼(∼b→∼g) is true.

The statement ∼b∨g is equivalent to ∼(b∧∼g), so if ∼(b∧∼g) is a premise, the truth value of ∼b∨g is true.

The statement ∼(∼b∧g) is equivalent to b∨∼g, so if b∨∼g is a premise, the truth value of ∼(∼b∧g) is true

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Answer:

The unit price is .45

Step-by-step explanation:

You divide the price by the item

- 8.10÷18=.45

Answer: 210 tickets

Explanation:

1. Multiply the number of tickets he sold on Monday (21) by 3. (21x3=63)

2. Multiply the number of tickets he sold on Tuesday (63) by 2. (63x2=126)

3. Add all of those together to get the answer. (21+63+126=210)

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

Therefore, the measure of angle SQR is.   \(156-6y=26\)   degrees.

A triangle is a three-sided polygon, which means it is a flat shape with straight sides. Triangles are one of the basic shapes in geometry and can be identified by their three sides and three angles. The sum of the interior angles of a triangle is always 180 degrees, and there are various types of triangles based on their side lengths and angle measurements, including equilateral, isosceles, scalene, acute, obtuse, and right triangles. Triangles are used in many areas of mathematics and science, as well as in everyday life, such as in construction and design.

To find the measure of angle SQR, we can use the fact that the sum of the angles in a triangle is always 180 degrees. Therefore:

Angle QRS + Angle RSQ + Angle SQR = 180

Substituting the given values, we get:

\((2y + 16) + (4y + 8) + Angle SQR = 180\)

Simplifying and solving for Angle SQR, we get:

\(Angle SQR = 180 - (2y + 16) - (4y + 8)\)

\(= 180 - 6y - 24\)

\(= 156 - 6y\)

\(= 26\)

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Answer:

25

Step-by-step explanation:

\(f(x)=x^3-2 \\\\f(3)=(3)^3-2= \\\\27-2= \\\\25\)

Hope this helps!

Answer: 25

Explanation: Notice that f is a function of x. So we want to find f(3).

We find f(3) by plugging 3 in for x everywhere

that x appears in the function.

So we have (3)³ - 2.

(3)³ is equal to 3 × 3 × 3 or 27.

So we have 27 - 2 which is 25.

So f(3) is equal to 25.

The polynomial function \(\(f(x) = 2(x^2+3)(x+1)^2\)\) has zeros at -3 with multiplicity 1, and -1 with multiplicity 2. The graph of the function crosses the x-axis at -3 and -1.

To find the zeros and their multiplicities, we set \(\(f(x)\)\) equal to zero and solve for \(\(x\).\)

Setting \(\(f(x) = 0\),\) we have:

\(\[2(x^2+3)(x+1)^2 = 0\]\)

Since the product of two factors is zero, at least one of the factors must be zero. Thus, we solve for \(\(x\)\) in each factor separately:

1. \(\(x^2 + 3 = 0\):\)

  This equation does not have real solutions since the square of a real number is always non-negative. Therefore, this factor does not contribute any real zeros.

2. \(\(x + 1 = 0\):\)

  Solving for \(\(x\), we find \(x = -1\).\) This gives us a zero at -1 with multiplicity 1.

Since the factor \(\((x+1)^2\)\) is squared, the zero -1 has a multiplicity of 2.

Therefore, the zeros for the polynomial function are -3 with multiplicity 1 and -1 with multiplicity 2. The graph of the function crosses the x-axis at both zeros.

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If on  Monday Tom work for 11 extra hours the total amount of money that tom made on Monday is £885.

As per the given data, the extra money he earns can be calculated as,

= [(11 - 7) × 15] × 13 + (7 × 15)]

= (4 × 15 × 13) + 105

= 780 + 105

= £885

Therefore, the amount of money  is £885.

Time and work are concerned with how long it takes a person or a group of people to finish a task and how well each of them completes it.

Indirect proportion is related to time and work. In both directions, when one quantity rises, the other falls, and vice versa. It takes less time to finish the same amount of work when people work more hours.

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Answer:

-9/2

Step-by-step explanation:

Answer:

x = -4.5

Step-by-step explanation:

90 = -20x

-90 = 20x

-90/20 = x

x = -4.5

Leave a like and mark brainliest if this helped

Answer:

y= 5x/7 -27/7

if they are parallel there gradient is the same

m1=m2

y-y1=m(x-x1)

plug in the gradient and points E

y-(-3)=5/7( x-4)

y= 5/7(x) -20/7 +3

final answer

y= 5/7(x) +1/7

Answer:

3x - 5 = 3x + (-5)

Step-by-step explanation:

Answer:

5/12, $10

Step-by-step explanation:

Lea earned $24 babysitting. She spent ⅔ of that amount on a gift for her bestie, ¼ on snacks. What fraction of her earning is left? How much money does she have left?

Let the total amount earned be 1

Given

Amount on snacks = ¼

Amount on babysitting = ⅔

Required

Fraction left

Fraction left = Total -(snacks+babysitting)

Fraction left = 1-(1/4+2/3)

Fraction left = 1-(3+4/12)

Fraction left = 1-7/12

Fraction left = 5/12

Amount of money she has left = 5/12 × 24 = 5×2 = $10

Hence she has $10 left

Answer:

D.

Step-by-step explanation:

By calculation (I used a calculator for this one):

Therefore, the answer is D.

Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

we get that the equation that models the situation is:

when t=2. We get that

so we get that after 7 years ( 1997 )

If the ratio of trucks to cars is 2:5, that means that there may be 2 trucks and 5 cars, or 4 trucks and 10 cars (by multiplying both numbers by 2) or 6 trucks and 15 cars (by multiplying by 3) or . . . .

So if we know that there are 40 cars in the parking lot, we can set up two proportions equal to each other with X being the number of trucks:

2/5 = X/40

Cross multiply--> 5X = 80

Divide both sides by 5-->X = 16

The probability that none of the people are independent is 1.9%.

We need to find the number of outcomes where none of the people surveyed are independent. Since 13% of voters are independent, that means 87% of voters are either Democrat or Republican. Therefore, the probability of a person surveyed being either a Democrat or a Republican is 0.87.

To find the probability that none of the people surveyed are independent, we need to multiply the probability of a person being either a Democrat or a Republican by itself 33 times (since there are 33 people surveyed).

This is because the events are independent, meaning that the outcome of one person being a Democrat or a Republican does not affect the outcome of the next person being a Democrat or a Republican.

Therefore, the probability that none of the people surveyed are independent is:

0.87³³ = 0.019 or approximately 1.9%.

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The word "ANANAS" can form a total of 360 words when the A's and N's are not differentiated.

To determine the number of words that can be formed from the word "ANANAS" without differentiating between the A's and the N's, we can use permutations.

The word "ANANAS" has a total of 6 letters. However, since we don't differentiate between the A's and the N's, we have 3 identical letters (2 A's and 1 N).

To find the number of permutations, we can use the formula for permutations of a word with repeated letters, which is:

P = N! / (n1! * n2! * ... * nk!)

Where:

N is the total number of letters in the word (6 in this case).

n1, n2, ..., nk are the frequencies of each repeated letter.

For the word "ANANAS," we have:

N = 6

n1 (frequency of A) = 2

n2 (frequency of N) = 1

Plugging these values into the formula:

P = 6! / (2! * 1!) = 6! / 2! = 720 / 2 = 360

Therefore, the number of words that can be formed from the word "ANANAS" without differentiating between the A's and the N's is 360.

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Age will be 40 years old.

R, in beats per minute, can be approximated by the formulas, where a represents the person's age.

where R= 143 - 0.65a for women.... (1)

and R= 165 - 0.75a for men,..... (2)

So by implementing these two equation we get a = 40

If the sum of ages is X and Y, and the ratio of their ages is p:q, then the age of Y can be calculated using the formula shown below: Y's age = Y's ratio/Sum of ratios x sum of ages The age dependency ratio is the ratio of dependents (people under the age of 15 or over the age of 64) to the working-age population (people between the ages of 15 and 64). The proportion of dependents per 100 working-age population is shown in the data.

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