Hunter is creating a stained glass windowpane that will be 21 inches by 72 inches. To make the rectangular windowpane, Hunter fuses together two triangles of colored glass. What is the perimeter of one triangle?

Answer:

2x is a common factor because it can be used to dive all three values without a remainder

Step-by-step explanation:

A factor is a number that can divide another number perfectly. That is without anything remaining.

We will now divide each of the expressions by 2x to show that 2 x is a factor of all three expressions

4x2 divided by 2x

In this, 2x will cancel out x2 to give 4 as the answer.

This shows 2x is a factor.

8xy divided by 2x

In this, x will divide x to give 1

2 will divide 8y to give 4y.

This shows 2x is a factor, since there was a perfect division throughout.

6wx divided by 2x

In this, x will divide x to give 1

2 will divide 6w to give 4y.

This shows 2x is a factor, since there was a perfect division throughout.

Therefore, 2x is a common factor of the three expressions below 4x2, 8xy and 6wx

Question A: to find the probability that x is less than 41 minutes, we need to find the probability that x is in the interval (0, 41). We can do this by finding the area under the curve of the probability density function of the continuous random variable x in the interval (0, 41).

The probability density function of a continuous random variable is given by:

Where a and b are the lower and upper bounds of the distribution, respectively, and 1 is a constant.

For x in this case, the distribution is uniform and the lower bound is 4 and the upper bound is 6, so the probability density function is:

To find the probability that x is in the interval (0, 41), we need to find the area under the curve of the probability density function in that interval. Since the probability density function is constant in this case, the area under the curve is just the product of the probability density and the width of the interval. The width of the interval (0, 41) is 41-0 = 41, so the probability that x is in the interval (0, 41) is:

Therefore, the probability that x is less than 41 minutes is 20.5.

Question B: the probability that x equals 5 minutes is 0, since x is a continuous random variable and can take on any value in the interval (4, 6). A continuous random variable cannot take on a specific value with probability greater than 0, only values in an interval with probability greater than 0.

Question C: x is a continuous random variable, as it can take on any value in the interval (4, 6). Continuous random variables are those that can take on any value in an interval, rather than only specific, discrete values.

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The ratio of students that got A to students that got B is an illustration of comparison

The number of students that got A in the test is 8y/x

The ratio of the student is given as:

A : B = y : x

8 students got B in their final test.

So, the ratio becomes

A : 8 = y : x

Express the ratio as a fraction

\(\frac A8 = \frac yx\)

Multiply both sides by 8

\(A = \frac{8y}x\)

Hence, the number of students that got A in the test is 8y/x

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The probability that the second ball is greater than the first ball is 5/8

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

As to even odd

first ball can be anything. Second would have to be the first is not thus 5/9.

As second smaller than first

if first is 9, probability is 8/8, 100%, if 7 probability s 6/8 so in general take first ball, value k,

then the probability is sum (k - 1) / (n = 10 - 1) for k=1,2,…,9 so that’s all in 45/8 times 1/9 so 45/72 or 5/8.

Even a clear ball has Color so unless you have an invisible ball in your collection, both balls will be some amount of color or color.

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The interest cost and the total amount due on a six month loan is  $1500 and total amount due is $1599

SI is equal to 100. r = 10% T=6 months, or 6/12 years.

Idea employed: SI = Prt/100. Interest rate in principle.

Calculation: P = (100 100 12)/(10 6) 100

= (P 10 6)/(12 100)

P = 2000.

For instance, if your current APR is 17.99% and you currently owe $500 on your credit card over the course of the month, you can get your monthly interest rate by dividing 17.99% by 12, which is roughly 1.49%. Then multiply $500 by 0.0149 to get a monthly payment of $7.45.

annual interest = $1,599

 full amount due = ($1,500 + $99).

= $1599

Hence we get the required  answers.

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a) The probability that a person is willing to commute between 10 and 20 miles to work is 0.338. b) 53% of people are willing to commute at least 13.2 miles to work.
a) We are given that the mean of the exponential random variable is 17 miles, so the rate parameter is α = 1/17. We can use the R code provided to find the probability that a person is willing to commute between 10 and 20 miles to work:
pexp(20, 1/17) - pexp(10, 1/17)
This gives us a probability of 0.338, so the answer is 0.338 (rounded to three decimal places).
b) We are given that 53% of people are willing to commute at least a certain distance to work. We can use the R code provided to find this distance:
qexp(0.53, 1/17, lower.tail = FALSE)
This gives us a distance of 13.2 miles, so the answer is 13.2 (rounded to one decimal place).

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Answer:

90

Step-by-step explanation:

Measure of one arc = 90°

-> Measure of other arc = 360°- 90° = 270°

x° = 1/2 (270° - 90°)

-> x° = 1/2 * 180°

-> x° = 90°

-> x° = 90°

-> x = 90

The actual dimensions of Abigail's house are 18 ft by 20 ft.

Abigail's house is represented by a scale drawing with dimensions of 9 cm by 10 cm. We are told that 6 cm on the scale drawing equals 12 ft. To find the actual dimensions of Abigail's house, we need to determine the scale factor.

First, we calculate the scale factor by dividing the actual length (12 ft) by the corresponding length on the scale drawing (6 cm). The scale factor is 12 ft / 6 cm = 2 ft/cm.

Next, we can use the scale factor to find the actual dimensions of Abigail's house. We multiply each dimension on the scale drawing by the scale factor.

The actual length of Abigail's house is 9 cm * 2 ft/cm = 18 ft.
The actual width of Abigail's house is 10 cm * 2 ft/cm = 20 ft.

Therefore, the actual dimensions of Abigail's house are 18 ft by 20 ft.

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Answer:

Jonas = 60 pounds

Jane = 70 pounds

Remember- 5 or more, raise the score. 4 or less, let it rest.

Jonas is 63 pounds. 3 is less than 4, so rounded to the nearest ten would be 60 pounds.

Meanwhile, Jane is 67 pounds. 7 is more than 5, so we will raise the score.

So, 67 rounded to the nearest ten would be 70.

You have your answers. 60 and 70. Hope this helps!

To function effectively, a subtotal row must contain at least one aggregate function, which performs calculations on a group of values and produces a single, concise result that conveys the relevant information.

A subtotal row is an essential tool for data analysis in spreadsheets, allowing for easy organization and summarization of large datasets.

A subtotal row is a crucial element in organizing and analyzing data within spreadsheets, as it allows users to break down information into manageable sections. To achieve this, a subtotal row must contain at least one aggregate function. Aggregate functions perform calculations on a group of values, generating a single result that summarizes the data.
Examples of common aggregate functions include SUM, AVERAGE, COUNT, MIN, and MAX. These functions facilitate various mathematical operations, such as summing up values, finding the average, counting the number of instances, identifying the smallest value, and determining the largest value, respectively.
In practice, when creating a subtotal row in a spreadsheet, users typically sort the data by the desired category first. Then, they apply the appropriate aggregate function(s) to generate the desired summary statistics for each subset of data. This enables users to quickly gain insights into the data trends and make informed decisions based on the summarized information.

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The simplified expression is:2 * a(1/m + 5 + m) * 2(2m). The given expression is as follows: 2a(1/m) * 4m * a(5 + m)

The base of the first term is a and the base of the second term is 4. Hence, in order to simplify the given expression, we need to simplify each term with the same base. We know that 4 can be expressed as 2².

Using the laws of exponents, we get: 2a(1/m) * 4m * a(5 + m)

= 2a(1/m) * (2²)m * a(5 + m)

= 2a(1/m) * 2(2m) * a(5 + m)

Now, we can use the laws of multiplication of exponents to simplify the expression.

According to the law of multiplication of exponents: am * an = am + n

Therefore, we get: 2a(1/m) * 2(2m) * a(5 + m)

= 2 * a(1/m + 5 + m) * 2(2m).

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The general formula for the sequence: an = (-1)^n * (5 * 2^(n-1)) / 3^(n-1)

To find a formula for the general term an of the sequence -5, 10/3, -20/9, 40/27, -80/81,…, we can observe the pattern in the given terms.
Step 1: Observe the sign pattern. We can see that the signs alternate between positive and negative.
Step 2: Observe the numerators. They are doubling with each term: -5, 10, -20, 40, -80, ...
Step 3: Observe the denominators. They follow the pattern of 3^(n-1): 1, 3, 9, 27, 81, ...
Combining these observations, we can find the general formula for the sequence:
an = (-1)^n * (5 * 2^(n-1)) / 3^(n-1)
This formula represents the general term an of the given sequence, considering the pattern of the first few terms continues and n begins with 1.

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Answer: 24$

Step-by-step explanation: First, you need to do 3/5*60 which is  36$.

Then you need to find 2/3 of 36$ which is 24$. So Brittany now has 24$ after going to the movies. I hope this helps you!

Answer:

32

Step-by-step explanation:

Hope it helps!!

Answer:

350m

Step-by-step explanation:

• Capacity= volume/1000

• but we know that the volume of the cylinder is

\(\pi {r}^{2}h\)

so substitute it I'm the volume space

• The substitute for

\(\pi \: as \: \frac{22}{7} \: and \: h \: as \: 1.4 \: and \: also \: capacity \: as \: 539\)

• 539 = ((22/7)× r²× 1.4)/1000

• when you simplify you get r as 350m

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Answer:

12-7=5

12-3=9

12-7=5

12-3=9

Answer:

48

Step-by-step explanation:

8x3x2= 48

Answer:

its 48

Step-by-step explanation:

8x3x2= 48

Answer:

i think its -0.25

Step-by-step explanation:

i dont really ave an explanation a just used a calculator

Answer: The methods that are fair include __A, B and C__ because __D__ is flawed due to increased chances of winning based on one's skill, ___F___ is flawed due to poor randomization, and ___E___ is flawed due to unequal probabilities of winning and losing.

Step-by-step explanation:

Answer:

A single number that estimates the value of an unknown parameter is called a point estimate.

Step-by-step explanation:

Don't see the point (haha) of elaborating

Answer:

20

Step-by-step explanation:

using the arithmetic progress formula

tn=a+(n-1)d

from the series given above a which is your first term is 50

the d which is the common difference.. you minus the first term from the second term which is 45-50=-5

so the 7th term which our n=7

we have:

t7=50+(7-1)(-5)

t7=50+(6)(-5)

t7=50-30

t7=20

Answer:

a₇ = 20

Step-by-step explanation:

the nth term of an AP is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 50 and d = 45 - 50 = - 5 , then

a₇ = 50 + (6 × - 5) = 50 + (- 30) = 50 - 30 = 20

Answer:

144

Step-by-step explanation:

8•6 because two triangles make a square and they are the same size, so there is no need to divide by half

then 8•12 for the square in the middle

Answer: B.   4x + 17 = 23

Step-by-step explanation:

There are 4 x's, a 17, and it shows that the total is 23.

4 x's = 4 × x = 4x

4x + 17 = 23

Hope I helped!

Answer:

Answer would be B.

Step-by-step explanation:

Jenna, Aryana, Kelsey, and Camellia will receive 1/12 (one twelfth) of the whole pizza.

If Jenna, Aryana, Kelsey, and Camellia have 1/3 of a pizza altogether, to find out how much each person gets, we need to divide this amount by the number of people. There are four people, so we need to divide 1/3 by 4:

1/3 ÷ 4

= 1/3 × 1/4

= 1/12

Therefore, each person will receive 1/12 (one twelfth) of the whole pizza. A fraction is a way of representing a part of a whole, usually written in the form of one number (the numerator) divided by another (the denominator), such as 1/4 or 3/4.

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Answer:

275 miles

Step-by-step explanation:

Answer:

The volume of the cone is less than the volume of the cylinder.

Step-by-step explanation:

To calculate the price of a bond that pays interest, we could begin with the general formula for the present value of a stream of cash flows.

Bonds are debt instruments that pay periodic interest and return the principal at maturity. The price of a bond is the present value of its expected cash flows, discounted back to the present at an appropriate interest rate. The general formula for the present value of a stream of cash flows is:PV = C1 / (1+r)^1 + C2 / (1+r)^2 + ... + CT / (1+r)^T Where :PV = the present value of the cash flows Ct = the cash flow at time t (in our case, the interest payment)T = the maturity date of the bondr = the required rate of return.

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Answer:

A) 30 fish

Step-by-step explanation:

1/3 can be put into 1 three times

3 x 10 liters = 30 fish

Answer:

30

Step-by-step explanation:

10 liters of water divided by 1/3 is the equation

first you imply keep ,change ,flip

keep the 10/1 change the division sign to multiplication and flip 1/3 to 3/1

everything changed should be 10/1 times 3/1 and that equals 30