The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.

Step-by-step explanation:

3 1/2 x 2 1/2 x 2 1/2

=?

? ÷1/2= answer

Answer:

I think the answer will be about 17 1/2 cubes needed.

Step-by-step explanation:

Hope this helps!

The probability of event E, {1, 2, 3}, is 0.3 or 30%.

The probability of event E is calculated below as follows:

P(E) = Number of favorable outcomes / Total number of possible outcomes

Event E is defined as E = {1, 2, 3} from the set S

Therefore, the number of favorable outcomes = 3

The set S = {1,2,3,4,5,6,7,8,9,10}

Therefore, the total number of possible outcomes = 10

Therefore, the probability of event E, denoted as P(E), is given by:

P(E) = 3 / 10

P(E) = 0.3 or 30%

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Complete question:

Let S ={1,2,3,4,5,6,7,8,9,10), compute the probability of event E ={1,2,3}

Answer:

a³+b³

Step-by-step explanation:

this is formula. You can also refer to the attachment

Answer:

Step-by-step explanation:

(a + b) (a² - ab + b) = a*(a² - ab + b) + b(a² - ab + b)

                               = a*a² - a*ab +a*b + b*a² - b*ab + b*b

                               = a³ - a²b + ab   + a²b -ab² + b²

                             = a³ - a²b + a²b + ab - a²b + b²

                            = a³  + ab - a²b + b²

EXPLANATION

In order to turn -2x + 10y = 2 into slope-intercept form:

First, as we know, the generic slope-intercept form is:

y= mx + b

where m is the slope and b is the y-intercept

Going back to our equation:

-2x + 10y = 2

Adding +2x to both sides:

-2x + 2x + 10y = 2 + 2x

Adding similar terms:

10y = 2 + 2x

Dividing both sides by 10:

10y/10 = 2/10 + 2x/10

Simplifying:

y = 1/5 + x/5 --> Slope-intercept form

Answer:

5

Step-by-step explanation:

2-5=5. Subscribe Single-3 FF on yt

The sample space of all possible pairs of marbles that can be drawn is:

{BB, BR, RB, RR, RR, RR}

It is the total number of possible outcomes from a given set.

We have,

The sample space is the set of all possible outcomes of the experiment.

In this case, we are drawing two marbles from a bag containing 2 blue and 5 red marbles, without replacement (meaning that we do not put the first marble back into the bag before drawing the second one).

The sample space consists of all possible pairs of marbles that can be drawn:

{BB, BR, RB, RR, RR, RR}

where BB means both marbles are blue, BR means the first marble is blue and the second is red, RB means the first marble is red and the second is blue, and RR means both marbles are red.

Note that there are two outcomes corresponding to drawing two red marbles because there are 5 red marbles in the bag.

Thus,

The sample space of all possible pairs of marbles that can be drawn is:

{BB, BR, RB, RR, RR, RR}

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The  complete question:

In an experiment, a bag contains 2 blue marbles and 5 red marbles. Two marbles are drawn from the bag.

List the sample space.

Answer:

I am not very sure, but I think the answer is

D.

Answer:

answer is d becuase i took the test and got it right

Step-by-step explanation:

the link is visable tho

Answer:

41235

Step-by-step explanation:

There are 120 five-digit numbers that can be made from the digits 1, 2, 3, 4, 5 if each digit is used once in the number,

The total number of times where each number will occur or be at first place is calculated as:

4! = 4 × 3 × 2 × 1

= 24

Hence,

24th number = The last number where 1 is at first place

We can write this out as:

12345

12354

12435

12453

12534

12543

13245

13254

13425

13452

13524

13542 e.t.c.

48th number = The last number where 2 is at first place

72nd place = The last number where 3 is at first place.

This means, the 73rd number is the first number where 4 is at first place.

Therefore, the 73rd number based on pattern is 41235

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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The probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

To find the probability of selecting an anglerfish on the next card, we need to calculate the ratio of the number of anglerfish cards to the total number of cards in the deck.

From the given information, Scarlett selected 2 anglerfish cards during her previous selections.

The total number of cards she selected is 2 + 3 + 1 + 4 + 5 = 15.

Therefore, the probability of selecting an anglerfish card on the next draw is 2/15.

Calculate the total number of cards Scarlett selected.

2 + 3 + 1 + 4 + 5 = 1

Calculate the number of anglerfish cards Scarlett selected.

Scarlett selected 2 anglerfish cards.

Calculate the probability of selecting an anglerfish card on the next draw.

Probability = Number of anglerfish cards / Total number of cards

Probability = 2 / 15

Probability ≈ 0.1333

Thus, the probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

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Answer:

3

Step-by-step explanation:

30 ×10%/100%=3

percentage is always out of 100 that's why 10%over 100%

hope this will help mate

the 88% confidence interval for the proportion of college professors who wear eyeglasses is (0.487, 0.625).

To generate an 88% confidence interval for the proportion of college professors who wear eyeglasses, we can use the normal approximation to the binomial distribution. The formula for the confidence interval is:

p ± z*√(p(1-p)/n)

where p is the sample proportion, z is the z-score corresponding to the desired level of confidence (88% in this case), and n is the sample size.

First, we need to calculate the sample proportion:

p = 139/250 = 0.556

Next, we need to find the z-score corresponding to the 88% confidence level. We can use a standard normal distribution table or calculator to find this value. For an 88% confidence level, the z-score is approximately 1.553.

Now, we can substitute these values into the formula to calculate the confidence interval:

0.556 ± 1.553*√(0.556(1-0.556)/250)

Simplifying the expression gives us:

0.556 ± 0.069

the 88% confidence interval for the proportion of college professors who wear eyeglasses is (0.487, 0.625).  

This means that we are 88% confident that the true proportion of college professors who wear eyeglasses is between 0.487 and 0.625. In other words, if we were to repeat this study multiple times, we would expect the true proportion to fall within this interval in 88% of the cases.

It is important to note that confidence intervals are a range of plausible values for the population parameter (in this case, the proportion of college professors who wear eyeglasses), and do not provide definitive answers. Therefore, it is necessary to interpret the interval in the context of the study and the research question.

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The probability that fewer than 3 of the 8 sampled people are unemployed is approximately 0.91, indicating that there is a high chance of having at least 3 employed people in the sample.

It can be solved using the binomial distribution formula.

Let X be the number of unemployed people in a sample of 8 from the city.

Then X follows a binomial distribution with parameters n = 8 and p = 0.16, since the probability of an individual being unemployed is 0.16.

The probability of fewer than 3 people being unemployed is the probability of X = 0, 1, or 2.

We can compute this probability as:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

Using the binomial distribution formula:

P(X = k) = (n choose k) * p^k * (1 - p)^{(n - k)}

We can compute each term separately:

P(X = 0) = (8 choose 0) * 0.16⁰ * 0.84⁸ ≈ 0.3252

P(X = 1) = (8 choose 1) * 0.16¹* 0.84⁷ ≈ 0.3772

P(X = 2) = (8 choose 2) * 0.16² * 0.84⁶ ≈ 0.2035

Therefore,

P(X < 3) ≈ 0.3252 + 0.3772 + 0.2035 ≈ 0.906

Rounding to two decimal places, the probability that fewer than 3 of the 8 sampled people are unemployed is approximately 0.91.

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The correct answer is option O: 5 V.

To determine the average voltage (Vavg) given a peak-to-peak voltage (Vpp) of 10 V, we need to consider the relationship between Vavg and Vpp in an alternating current (AC) waveform.

The average voltage of an AC waveform is related to its peak-to-peak voltage by the formula: Vavg = 0.5 * Vpp.

Applying this formula to the given Vpp of 10 V, we can calculate the Vavg as follows: Vavg = 0.5 * 10 V = 5 V.

The average voltage is equal to half of the peak-to-peak voltage, resulting in an average voltage of 5 V for a Vpp of 10 V.

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Step-by-step explanation:

Look, you're taking these kinds of questions too serious and that's why you believe they're hard, now pay close attention:

the areas are defined in cm² but the radius is defined in cm, so you need find the positive root of cm².

\( \sqrt{ \frac{5500 {cm}^{2} }{220 {cm}^{2} } } = \frac{r}{5cm} = = > \\ 5 = \frac{r}{5} = = = > r = 25\)

and the question wants the base area:

\(s = \pi {r}^{2} = = = > s = 3.14 \times {(25cm)}^{2} = = > 1963.5 {cm}^{2} \)

Answer: 12-(28/4)=5

Step-by-step explanation:

12-7=5 I hope it helps :)

Answer:

20

Step-by-step explanation:

|-15| + |1-6|

= 15 + |-5| {any number inside modulus '| |' is positive}

= 15 + 5

= 20

Answer:

y=-3x-9

Step-by-step explanation:

STEP-BY-STEP EXPLANATION

Given information

The scale of the drawing was 5inches to 1 yard

The first thing to do is to convert the inches to yard for unit consistency

According to the Standard International Unit, 1 yard = 36 inches

Let x represents the length in the yard

Therefore, 5 inches = 36 inches

In real life drawing, 5 inches is equivalent to 5 inches

Recall that, the scaling factor is the ratio of the larger figure to the smaller figure

The scaling factor is 5 : 36

If a laptop computer regularly cost $1096 and it’s on sale for $736 what percentage discount is being given round your answer to the nearest hundredth when necessary

step 1

Find out the difference

1096-736=$360

step 2

In this problem

$1,096 represent the 100%

so

applying proportion, find out how much percentage represent the difference

100%/1,096=x/360

solve for x

x=100*360/1,096

Three different whole numbers whose sum and product are equal are 1, 2, and 3.

1 + 2 + 3 = 6

1 x 2 x 3 = 6

As demonstrated above, the sum and product of 1, 2, and 3 is the same.

Hope this helps!! :)

Answer:

1 2 and 3

Step-by-step explanation:

Answer:

(x, y) = (1, 4)

Step-by-step explanation:

Given:  x+y=5 and 2x-y=-2

Solve for y and x

x+y=5; solve for y

y = 5 - x; substitute into other equation

2x-y= -2

2x - (5 - x) = -2

2x - 5 + x = -2; combine x's

3x - 5 = -2; add 5 to both sides

3x =3; divide by 3

x = 1; use this to solve for y

x+y=5

1 + y = 5; subtract 1 from both sides

y = 4

(x, y) = (1, 4)

Answer: (1.5, -1)

Step-by-step explanation: Midpoint (xM, yM)  =  (1.5, -1)

Source: https://ncalculators.com/geometry/mid-points-calculator.htm

Answer:

(1 1/2, -1)

Step-by-step explanation:

[(7-4)/2 , (5-7)/2] = (3/2, -1)

Answer:

1) because A and B are supplementary

=> 2x + 4 + 3x + 16 = 180

<=> 5x = 160

<=> x = 32

with x = 32 => angle B = 3.32 + 16 = 96 + 16 = 112

2) see in the picture, because triangle ABC is the isosceles triangle => angle A = 180 - 2.47 = 180 - 94 = 86

we also have:

2y = 86

x = y + 47

=> y = 43

x = 43 + 47 = 90

The probability of being enrolled in AP Physics given of Key Club is equal to 0.826, or 82.6%.

Probability of member of key club 'K'= 2.3%

Probability of enrolled in AP Physics, P = 2.3%

Probability of both = 1.9%

Use the formula for conditional probability to find the probability of P given K,

P(P|K) = P(P ∩ K) / P(K)

where P(P ∩ K) represents the probability of being in both P and K,

and P(K) represents the probability of being in K.

Here,

since 2.3% of the senior class are members of Key Club

⇒ P(K) = 0.023

Since 1.9% of the senior class are in both P and K.

⇒ P(P ∩ K) = 0.019

Substituting these values into the formula for conditional probability, we get,

P(P|K) = P(P ∩ K) / P(K)

         = 0.019 / 0.023

         ≈ 0.826

Therefore, the probability of being enrolled in AP Physics given that a senior is a member of Key Club is approximately 0.826, or 82.6%.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

20+24

⇨2(10+12)

Therefore ⬇︎

2(10+12) is our expression with 2 as a factor for each term ツ

Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Yes, the data indicate that the machinery should be repaired and the hypotheses are stated.

In this scenario, the null hypothesis is that the machinery is not producing more than 10% defective items, while the alternative hypothesis is that it is producing more than 10% defectives. We can represent these hypotheses as follows:

H0: The machinery is not producing more than 10% defectives.

Ha: The machinery is producing more than 10% defectives.

To test the hypothesis, we will use a statistical test called the one-sample proportion test. This test compares the sample proportion to a hypothesized population proportion. In this case, the hypothesized proportion is 0.10 (10% defectives).

Using the one-sample proportion test, we can calculate a p-value, which is the probability of obtaining a sample proportion as extreme as the one observed or more extreme, assuming the null hypothesis is true. If the p-value is less than the significance level, we reject the null hypothesis in favor of the alternative hypothesis.

In this scenario, the sample proportion is 0.15 (15 defectives out of 100 items), and the hypothesized population proportion is 0.10 (10% defectives). Using a one-tailed test with a significance level of 0.05, we can calculate the p-value as 0.0347.

Since the p-value is less than the significance level, we reject the null hypothesis and conclude that the machinery is producing more than 10% defectives. Therefore, the machinery should be repaired to reduce the defect rate.

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