Find the volume of a pyramid with a square base, where the area of the base is
14.4 ft2 and the height of the pyramid is 9.6 ft. Round your answer to the nearest
tenth of a cubic foot.

Let Delta's age be d

\(d=\frac{117}{9}\)

If two marbles are drawn from the bag without replacement the probability of (B|A) expressed in simplest form would be = 5/16.

To calculate the probability of the given event, the formula that should be used is given as follows;

Probability = Possible outcome/sample space.

For event A;

Possible outcome = 5

Sample space = 4+7+5 = 16

P(A) = 5/16 = 0.3125

For event B:

Possible outcome = 7

sample space = 16-1 = 15

P(B) = 7/15= 0.4667

But;

P(A/B) = P(A∩B) / P(B),

P(A/B) = 0.3125×0.4667/0.4667

= 0.3125 = 5/16

Learn more about probability here:

https://brainly.com/question/31123570

#SPJ1

The expected price for a house that is roughly 3500 square feet is $525,000.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of line of best fit;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (300,000 - 150,000)/(2,000 - 1,000)

Slope (m) = 150,000/1,000

Slope (m) = 150

At data point Z (1,000, 150,000) and a slope of 150, a linear equation for this line of best fit can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 150,000 = 150(x - 1,000)  

y = 150x

For the expected price when x = 3,500 square feet, we have:

y = 150x

y = 150(3,500)

y = $525,000.

Read more on point-slope here: brainly.com/question/24907633

#SPJ1

Answer:

60

Step-by-step explanation:

Use synthetic division here (I'm going to try my best to draw it out on here lol)

Zeros are used in places where there is no value (For example, there is no x^4 value so we use a zero there)

2   |     2   0    -1    0     0    4

    |      |    4    8   14   28  56          

           2   4   7    14   28  60

The remainder is 60.

Answer:

The given table is

Hours.    Earnings per hour.

  0

  4

  8

 12

Now, the unit rate is $8.25 per hour, according to the proble, this is the constant ratio of change, that means, we only need to multiply the number of hours with the unit rate.

\(0 \times 8.25=0\\4 \times 8.25= 33\\8 \times 8.25=66\\12 \times 8.25 = 99\)

Hours.    Earnings per hour.

  0                     0

  4                      33

  8                     66

 12                      99

Answer:

Mean: 7

Median: 8

Range: 9

Mode: 3

Step-by-step explanation:

First, to find the mean of a set of numbers you need to add up all of the numbers and divide that by the total amount of numbers. In this case that makes this equation, \(\frac{3+3+4+8+9+10+12}{7}\), which is \(\frac{49}{7}\), which is 7.

To find a median you need to find the middle number. A handy trick I use for this is to place my fingers on the first and last number, and then move them towards the middle, at the same time by one number until there is just one number left in the middle. If there are no numbers left after doing this, meaning there are an even amount of numbers given, the median is the mean of the last two numbers that were covered. In this case, this is not necessary, so the median is 8.

The range is the difference between the maximum and minimum of a data set. In this case that would give you the equation Range=12-3, which means the range is 9.

Finally, the mode is the number that occurs the most in a given data set. In this case the number that occurs the most is 3, which occurs twice compared to every other number which only occurs once.

Hey there!

‘‘Find the mean median range and mode for 3, 3, 4, 8, 9, 10, and 12’’

• Mean is known as your AVERAGE number. You have to ADD all of your NUMBERS the DIVIDE it by the TOTAL numbers in your given set

• We have the total of SEVEN numbers in your set

“3 + 3 + 4 + 8 + 9 + 10 + 12 / 7”

6 + 4 + 8 + 9 + 10 + 12/7

10 + 8 + 9 + 10 + 12/7

18 + 9 + 10 + 12/7

27 + 10 + 12/

37 + 12/7

49/7 = 7

Answer: Mean = 7 ✔️

• Median is the number you see in the center (the middle) of the problem. You can solve for this by putting your numbers from least to greatest

• If you have an ODD number in your given set then your middle number will be the single number)

• If you have an EVEN number then you have to average your TWO middle number

“ 3, 3, 4, 8, 9, 10, 12”

• you still have 3 on both sides of your 8 (3 is an ODD number, so we have to let it be be a single number)

Answer: mean = 8 ✔️

• Mode is your number than you see repeated OR more than once

• We “3” repeated so it is your Mode

Answer: Mode = 3 ✔️

Answers ⬇️

• Mean: 7 ☑️

• Median: 8 ☑️

• Mode: 3 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

The number of simple events in this experiment is 16.

The correct answer to the given question is option c.

The probability of an event can be calculated by dividing the number of favorable outcomes by the number of possible outcomes. A simple event is one in which only one of the outcomes can occur. For example, if a coin is tossed, a simple event would be the outcome of the coin being heads or tails.

The total number of possible outcomes in the experiment of tossing 4 unbiased coins simultaneously is 2⁴, since there are two possible outcomes for each coin. Thus, the total number of possible outcomes is 16.

Each coin has two possible outcomes: heads or tails. If all four coins are flipped, there are two possible outcomes for the first coin, two possible outcomes for the second coin, two possible outcomes for the third coin, and two possible outcomes for the fourth coin. Therefore, the total number of possible outcomes is 2 × 2 × 2 × 2 = 16.

Therefore, the number of simple events in this experiment is 16, which is option (c).

For more such questions on simple events, click on:

https://brainly.com/question/10346457

#SPJ8

Answer:

75

Step-by-step explanation:

angles on a straight line always add up to 180 degrees so 180-105 =75

The more precise estimator ẏ₁ is the most efficient in estimating the average salary. With given values, the confidence interval is calculated to determine whether to accept the claim of a $50,000 mean salary.



In this scenario, we have two estimators for the average salary: ẏ₁, which uses precise data, and ẏ₂, which includes less precise data. The efficiency of the estimators depends on the variance of the data. If we compare the variances, Var(ẏ₁) = 0% and Var(ẏ₂) = o²(1 + 3c). Since Var(ẏ₁) is zero, it implies that ẏ₁ is the most efficient estimator. The answer does not depend on the value of c.

In the second part, with c = 0, we have Var(Y) = o². Given N = 300, s² = 20,000,000, and ẏ₁ = $48,000, we can use these values to construct a confidence interval. Using a 1% significance level, the critical value is 2.57 (from the standard normal distribution). The confidence interval is given by ẏ₁ ± 2.57 * sqrt(s²/N), which results in $48,000 ± 2.57 * sqrt(20,000,000/300). If this interval contains $50,000, we would accept your friend's claim; otherwise, we would reject it.

To learn more about average click here

brainly.com/question/29550341

#SPJ11





                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             

The irreducible polynomials modulo 3 of degree 2 are x^2 + x + 2$ and $x^2 + 2x + 2.

In this question, we are required to list all irreducible polynomials modulo 3 of degree 2.

The set of all polynomials mod 3 of degree 2 is as follows: 0, 1, 2, x, x + 1, x + 2, 2x, 2x + 1, 2x + 2, x^2, x^2 + 1, x^2 + 2, x^2 + x, x^2 + x + 1, x^2 + x + 2, x^2 + 2x, x^2 + 2x + 1, x^2 + 2x + 2

Let's start by finding the product of all polynomials mod 3 of degree 1.

(x - 0)(x - 1)(x - 2) = x^3 - 3x^2 + 2x

Now, we will find all the possible products of polynomials of degree 1 and degree 2.

(x + 0)(x^2 + ax + b) = bx^2 + (a)x^3 + b  (x + 1)(x^2 + ax + b) = x^2(a + 1) + x(1 + a + b) + b  (x + 2)(x^2 + ax + b) = bx^2 + (a + 2)x^3 + (2a + b)x + 2b

The first polynomial, x^3 - 3x^2 + 2x, already contains $x^2$, so we will only take into consideration the coefficients of $x$ and the constant term.

Now, we will cross off all the polynomials which have coefficients that are multiples of 3 as they are reducible.

x^2 + 1, x^2 + 2, x^2 + x + 1, x^2 + x + 2

Therefore, the irreducible polynomials modulo 3 of degree 2 are $x^2 + x + 2$ and $x^2 + 2x + 2$.

Know more about polynomials   here:

https://brainly.com/question/4142886

#SPJ11

the base of the triangular window is 24 feet and the height is 10 feet.

Let's denote the height of the triangular window as h feet. According to the given information, the area of the window is 120 square feet.

The formula to calculate the area of a triangle is:

Area = (1/2) × base × height

In this case, we can write the equation as:

120 = (1/2) × base × h

Now, we are also given that the base of the window is 4 feet more than twice the height. So we can express the base as:

base = 2h + 4

Substituting this expression for the base into the area equation, we have:

120 = (1/2) × (2h + 4) × h

Now we can solve this equation for the height.

Multiplying both sides of the equation by 2 to remove the fraction:

240 = (2h + 4) × h

Expanding the right-hand side:

240 = 2h² + 4h

Rearranging the equation and setting it equal to zero:

2h² + 4h - 240 = 0

Now we can solve this quadratic equation. Factoring out a 2:

2(h² + 2h - 120) = 0

Factoring the quadratic expression inside the parentheses:

2(h + 12)(h - 10) = 0

Setting each factor equal to zero:

h + 12 = 0   or   h - 10 = 0

Solving these equations, we get:

h = -12   or   h = 10

Since height cannot be negative in this context, we discard the negative value. Therefore, the height of the triangular window is h = 10 feet.

Substituting the height value back into the expression for the base:

base = 2h + 4

    = 2(10) + 4

    = 20 + 4

    = 24

Therefore, the base of the triangular window is 24 feet and the height is 10 feet.

to know more about equation visit:

brainly.com/question/29538993

#SPJ11

Answer:

my answer is D

Step-by-step explanation:

dahil yon lang ang totoo d talaga ang sagot

Rectangle ABCD is not similar to rectangle PRQS, because rectangle ABCD

as corresponding sides are not congruent.

When we have sides, angles, or both that match the corresponding sides, angles, or both, we know two similar planer figures are congruent.

The rectangle ABCD has dimensions 2×4 and the rectangle PQRS has dimensions 6×4.

If we dilate the with by 3 we'll have 6, but the height of PQRS will be 12.

So, The Rectangles is not similar.

Because their corresponding sides are not in the same ratio.

learn more about congruency here :

https://brainly.com/question/7888063

#SPJ1

Answer:

56.1

Step-by-step explanation:

It is not appropriate to compare two means at a time in the way described. This would inflate the overall Type I Error and is a 'Multiple Testing' problem. The one-way ANOVA controls for the Type I Error and should be used instead. Comparing multiple pairs of means using independent two-sample t-tests without adjusting for the multiple comparisons can lead to an increased probability of committing a Type I error.

When comparing three or more populations means within a set of quantitative data that is categorized according to one factor/treatment, it is appropriate to use a one-way ANOVA instead of multiple independent two-sample t-tests. The reason is that performing multiple t-tests increases the overall Type I error rate, which is the probability of falsely rejecting a true null hypothesis. This is known as the multiple testing problem, and it occurs when we conduct multiple hypothesis tests without controlling the overall error rate.

In contrast, the one-way ANOVA controls for the Type I error rate and tests the null hypothesis that all population means are equal. If the null hypothesis is rejected, then at least one population mean is significantly different from the others. We can then perform post-hoc tests, such as Tukey's HSD, to determine which population means are different.

To know more about ANOVA,

https://brainly.com/question/23638404

#SPJ11

Answer:

SAS, because vertical angles are congruent.

Answer:

= −7m+2

Step-by-step explanation:

Answer:

-7m+2

Step-by-step explanation:

-4(m-5)-3(m+6)

-4m+20-3m-18

-4m-3m+20-18

-7m+2

Answer:

see below (I hope this helps!)

Step-by-step explanation:

Whole numbers are the integers that are greater or equal to 0. Basically, they are 0, 1, 2, 3....

Rational numbers can be written in the form a / b (where b ≠ 0 and a and b are integers (integers are ..., -1, 0, 1, ...))

Therefore, 4 rational numbers that are not whole numbers could be -5, -1, 0.5, and 3/4.

The closing prices of the fast food restaurant stock and the toy company stock are $1072.5 and $319.5, respectively.

Norman and Suzanne own 33 shares of a fast food restaurant stock and 71 shares of a toy company stock. At the close of the markets on a particular day in 2004, their stock portfolio consisting of these two stocks was worth $1392.00. The closing price of the fast food restaurant stock was $28 per share higher than the closing price of the stock of the toy company on that day.

Let the price of a share of the toy company's stock be "x". Then the price of a share of fast food restaurant stock is "x + 28". We can write the equation as given below.

33*(x + 28) + 71*x = 1392

33x + 924 + 71x = 1392

104x = 468

x = 4.5

The price of the toy company's stock is calculated below.

P1 = 71x

P1 = 319.5

The price of the fast food restaurant stock is calculated below.

P2 = 33(x + 28)

P2 = 33(4.5 + 28)

P2 = 33*32.5

P2 = 1072.5

To learn more about price, visit :

https://brainly.com/question/19091385

#SPJ1

Answer:

D

Step-by-step explanation:

Firstly let's see definition of Rational numbers ,

Rational numbers :-

From the options , look at option D ,its

→ √400

→ √{20²}

→ 20

Since y_1(0) = 1, it satisfies the initial condition. However, y_2(0) = 0 does not satisfy the initial condition, as it should be y(0) = 1. Therefore, only y_1(t) is a solution of the initial value problem.

To verify that both y_1(t) = 1 - t and y_2(t) = -t^2/4 are solutions of the initial value problem, we first need to understand what the problem is. An initial value problem is a differential equation that includes an initial condition. In this case, we can assume that the initial condition is y(0) = 1.
Now, let's substitute both y_1(t) and y_2(t) into the differential equation and see if they satisfy the initial condition. The differential equation is not provided, but assuming it is y'(t) = -t/2, we have:
y_1'(t) = -1
y_2'(t) = -t/2
Substituting y_1(t) and y_2(t) into the differential equation gives:
y_1'(t) = -1

= -t/2 (when t = 2)
y_2'(t) = -t/2

= -t/2 (for all t)
Thus, both y_1(t) and y_2(t) satisfy the differential equation. Now, let's check if they satisfy the initial condition.
y_1(0) = 1 - 0

= 1
y_2(0) = -0^2/4

= 0
In conclusion, y_1(t) = 1 - t is the only solution that satisfies the differential equation and initial condition, while y_2(t) = -t^2/4 is not a solution since it does not satisfy the initial condition.

To know more about initial value visit:

https://brainly.com/question/17613893

#SPJ11

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ1

The appropriate measure of center for the data, and what is its value is the median is the best measure of center, and it equals 19.

The appropriate measure of center for the data is the median since the box plot is skewed and there are outliers.

From the box plot, we can see that the line in the box is at 19, which means that 50% of the data falls below 19 and 50% falls above 19. Therefore, the median is the best measure of the center, and its value is 19.

Thus, the correct option is c. The median is the best measure of the center, and it equals 19.

Learn more about mean and median, here:

https://brainly.com/question/30891252

#SPJ1

Using the arrangements formula, it is found that they can stand in the line in 80,640 ways.

The number of possible arrangements of n elements is given by the factorial of n, that is:

\(A_n = n!\)

In this problem, we have that:

Hence the number of ways in which they can be lined up is given by:

N = 2! x 8 x 7! = 80,640.

More can be learned about the arrangements formula at https://brainly.com/question/25925367

#SPJ1

Answer:

c = 112 , d = 29

Step-by-step explanation:

c and 68 are a linear pair and sum to 180° , that is

c + 68 = 180 ( subtract 68 from both sides )

c = 112

the 3 angles 30, 3d - 5 and 68 lie on straight line AOB and sum to 180° , so

30 + 3d - 5 + 68 = 180

3d + 93 = 180 ( subtract 93 from both sides )

3d = 87 ( divide both sides by 3 )

d = 29

Jerry can do the job in 140 minutes by himself

Tom can do a Job in 140 minute

In 1 minute tom can do 1/140 of the job

Tom and Jerry can together do the job in 70 minutes

In 1-minute tom and jerry can do 1/70 of the job

At 1 minute:

1/70 of the job = 1/140 of the job + Job done by Jerry in 1 minute

1/70 - 1/140 = Job done by Jerry in 1 minute

1/140 = Job done by Jerry in 1 minute

To complete the full job Jerry needs 140 minutes

Learn more about work and time:

https://brainly.com/question/3854047

#SPJ4

Answer:

No. of ticket bought is 4

Step-by-step explanation:

Let the no. of ticket bought be x

Given cost of 1 ticket = $12

Therefore cost x ticket = x*cost of 1 ticket = x*$12 = $12x

parking fee = $5

given that it is flat so, whatever be the no. of ticket bought or family member,

the parking cost will remain $5 only.

Total money paid by family  = parking charge + cost x ticket = 5+12x

But , given that family paid total of $53

then

5 + 12x = 53

=> 12x = 53-5 = 48

=> x = 48/12 = 4

Thus, no. of ticket bought is 4.

This can be validated as  shown below

cost of 4 ticket as 12 each will be = 12*4 = 48

thus total money paid = $(48+5 )= $53

The width of the rectangle is twice the length of the rectangle

The given parameters are:

Width = 4 cm

Length = 2 cm

Express 4 cm as 2 * 2 cm

Width = 2 * 2 cm

Substitute Length = 2 cm in Width = 2 * 2 cm

Width = 2 * Length

This means that the width of the rectangle is twice the length of the rectangle

Hence, the true statement is that the width of the rectangle is twice the length of the rectangle

Read more about rectangles at:

https://brainly.com/question/25292087

#SPJ1