A(0,2) B(2,5) C(-1,7) is a isosceles triangle. What is the length of ab?

14 people gave the modal response

In a survey, modal response is the most frequently occurring response to a question. It can be used to identify the most important issues or concerns of a population.

You will notice the key says one circle represents 4 people. So half circle represents 2 people. Thus, we can say:

Swedish = 4 + 4 + 2 = 10

German = 4 + 4 = 8

French = 4 + 4 + 4 + 2 = 14

Since French has the highest number of people (i.e. 14 people). Therefore, 14 people gave the modal response.

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The term that is not affected the standard error of an estimator is population size, from the provide data in options. So, option (c) is right one.

The standard error is a statistical term that used to measured the accuracy that a sample distribution represents a population by using standard deviation. The standard error(SE) is very similar to standard deviation of a distribution. Both are used to measure the spread of distribution. Higher the value SE, the more spread out your data is. In statistical way, standard error is also called standard error of mean, SEM, it represents the deviation of sample mean deviates from the actual mean of a population.

It is calculated simply by dividing the standard deviation by the square root of the sample size. That is \(SE = \frac{σ }{\sqrt{n}}\)

where , n --> sample size

σ --> population standard deviations

Now, from the above formula it is clearly seen that standard error term or an estimator affected by sample size (n) and population standard deviations ( σ). So, right choice for answer is population size.

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Complete question:

standard error of an estimator is not affected by the multiple choice question.

a) population standard deviation

b) sample size

c) population size

Answer:

8. 7.2

9. 6.7

Step-by-step explanation:

The second triangle's leg lengths are proportional to the leg lengths of the first triangle, which are 2.5 cm and 4 cm. Possible pairs of proportional lengths for the second triangle are: (5 cm, 8 cm), (7.5 cm, 12 cm), and (10 cm, 16 cm).

To find the proportional lengths of the legs of the second triangle, we can use the fact that the ratios of corresponding sides in similar triangles are equal. Since the two triangles are similar, we can set up the following proportion:

leg length of second triangle / leg length of first triangle = scale factor

We know that the scale factor is the same for both legs of the second triangle, so we can set up two equations using the scale factor, x:

leg length of second triangle = x * 2.5 cm

other leg length of second triangle = x * 4 cm

We can solve for x by setting the ratios of the corresponding sides equal:

leg length of second triangle / leg length of first triangle = other leg length of second triangle / other leg length of first triangle

(x * 2.5 cm) / 4 cm = (x * 4 cm) / 2.5 cm

Solving for x, we get:

x = 2

Now we can plug in x = 2 to find the proportional lengths of the legs of the second triangle:

leg length of second triangle = 2 * 2.5 cm = 5 cm

other leg length of second triangle = 2 * 4 cm = 8 cm

So one possible pair of proportional lengths for the second triangle is (5 cm, 8 cm). Similarly, we can find the other possible pairs of proportional lengths:

(7.5 cm, 12 cm) by setting x = 3

(10 cm, 16 cm) by setting x = 4

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The mixed number 8 13/25 is the simplified form of 8.52

Place value is the value represented by a digit in a number on the basis of its position in the number e.g the place value of 5 in 4,538 is 5 hundreds or 500. This is the concept will we use to solve the given problem.

Given: 8.52

The place value of 8 in 8.52 is 8 units: 8

The place value of 5 in 8.52 is 5 tenths: 5/10

The place value of 2 in 8.52 is 2 hundredths: 2/100

8.52 = 8 + 5/10 + 2/100

        = 8 + 1/2 + 1/50    

        = (8×50 + 1×25 + 1)/50            (The LCM of 1, 2 and 50 is 50)  

        = (400+25+1)/50

        = 426/50

       = 8 13/25

Therefore, 8.52 converted to a mixed number in simplified form is  8 13/25

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The response rate for this survey was 4.2% (1727 completed out of 41,000 invited), rounded to one decimal place. Using the quick method, the estimated margin of error for a random sample of size 1727 is approximately 2.4%. The margin of error is a good measure of the accuracy of the survey's results because the number of non respondents was large, which may have introduced bias into the sample. However, the fact that the sample was randomly selected is a good indication of the survey's accuracy. The fact that only 33% of responding mothers said they communicate at least once a day with their child while at school does not necessarily invalidate the margin of error as a measure of accuracy, as the margin of error is based on the size of the sample, not on the specific results of the survey.

To calculate the response rate, divide the number of completed surveys (1727) by the number of parents invited (41,000) and multiply by 100 to get a percentage.

Response rate = (1727/41,000) * 100
Response rate ≈ 4.2%

To estimate the margin of error, use the quick method formula:

Margin of error ≈ 1 / √(sample size) * 100

Margin of error ≈ 1 / √(1727) * 100
Margin of error ≈ 2.4%

Considering the margin of error, it is not a good measure of the accuracy of the survey's results, because the number of non respondents was large.

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Answer:

Volume of the tank = 636 ft³

Step-by-step explanation:

Formula for the volume of a cylinder is,

V = πr²h

Where r = radius of the cylinder

h = height of the cylinder

By substituting the values of radius and height of the water tank given in the question,

V = \(\pi (4.5)^{2}(10)\)

   = 202.5π

   = 202.5 × (3.14)

   = 635.85 ft³

   ≈ 636 ft³

Therefore, volume of the cylindrical water tank is 636 ft³.

Answer:

x=0   y=0

Step-by-step explanation:

3x + y = -7y = x

cancel out all y's

3x+ y(0) = -7(0) = x

3x  =x

-x    -x

2x = 0

divide both sides by 2

x=0

3x + y = -7y =x

cancel out all x's

3(0) +y = -7y = x(0)

y=-7y

-y  -y

0 = -7y

divide both sides by -7

y=0

hope this helps!

According to the question we have  the 99% UCB on the mean time of the race is 223.

The formula for finding the upper confidence bound (UCB) is UCB = Mean + (Zα/2)(σ/√n), where Mean is the sample mean, Zα/2 is the z-score for the desired level of confidence, σ is the population standard deviation (which is not given, so we'll use the sample standard deviation instead), and n is the sample size.

We are given the sample of times as follows:137, 143, 153, 162, 168, 176, 190, 192, 196, 203, 218, 223, 236, 243, 252, 269, 271, 276, 283, 287.

We'll need to calculate the sample mean and standard deviation before we can find the UCB. Using a calculator, we get: mean ≈ 207.65s ≈ 48.41 Next, we'll use a table or calculator to find the z-score for a 99% confidence interval, which is Zα/2 = 2.576.

Now we can plug in the values we know to get the UCB:UCB = mean + (Zα/2)(σ/√n)UCB ≈ 207.65 + (2.576)(48.41/√20)UCB ≈ 223.02 .Therefore, the 99% UCB on the mean time of the race is 223.

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The probability that it will take a randomly selected student more than 10 minutes to park in the library lot is approximately 0.082, or 8.2%.

The probability that a randomly selected student will take more than 10 minutes to park in the library lot, assuming an exponential distribution with a mean of 4 minutes, can be calculated using the exponential probability density function.

In an exponential distribution, the probability density function (PDF) is given by f(x) = (1/μ) * e^(-x/μ), where μ represents the mean. In this case, the mean is 4 minutes. To find the probability that a student will take more than 10 minutes to park, we need to calculate the area under the probability density curve for values greater than 10.

Integrating the PDF from 10 to infinity will give us the desired probability. However, since the exponential distribution is continuous, the probability of a specific value is zero. Thus, we integrate from 10 to infinity, which can be approximated as 1 since the exponential distribution extends indefinitely.

The integral becomes P(x > 10) = ∫[10, ∞] (1/4) * e^(-x/4) dx. Simplifying this integral, we get P(x > 10) = e^(-10/4) = e^(-5/2) ≈ 0.082.

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Answer:

Diagram manditory

GOOD LUCK FOR THE FUTURE! :)

Answer:

The divisors of 20 are 1, 2, 4, 5, 10, and 20. A 6-sided dice has the numbers 1 to 6 on its faces. The probability of rolling a number that is a divisor of 20 is the number of favorable outcomes divided by the number of possible outcomes. There are four favorable outcomes (1, 2, 4, and 5) and six possible outcomes (1 to 6). Therefore, the probability is 4/6 or 2/3 or about 0.67.

The surface area of the pyramid can be calculated by adding the area of the base to four times the area of each triangular face.

To calculate the surface area of a square pyramid, we need to consider its base and triangular faces. The base of the pyramid is a square, so its area is determined by multiplying the length of one side (s) by itself (s^2).

The surface area also includes the sum of the areas of the four triangular faces. Each triangular face can be divided into two congruent right triangles. The slant height of the pyramid (l) is the height of these right triangles. Using the formula for the area of a triangle (0.5 × base × height), we can calculate the area of each triangular face as (0.5 × s × l). Therefore, the total surface area of the square pyramid is given by the equation: Surface Area = s^2 + 4 × (0.5 × s × l).

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Answer:

The answer to the question provided is y = -3x - 12.

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

\(y = mx + b\)

❃Incase you also forgot, what the slope formula is ☟

\(m = \frac{y_2 - y_1 }{x_2 - x_1}\)

➊ First: We are going to be solving for the slope.

\(m = \frac{ - 9 - 6}{ - 1 - ( - 6)} = \frac{ - 15}{ \: \: \: 5} = - 3\)

➋Second: We find the y-intercept.

\(y = mx + b \\ 6 = - 3( - 6) + b \\ 6 = 18 + b \\ \frac{ - 18 = - 18 \: \: \: \: \: \: \: \: \: \: \: \: }{ - 12 = b}\)

➌Third: Plug in.

\(y = - 3x - 12\)

In an ideal world, the FDA would continue to retain authority over dietary supplements due to their existing infrastructure, expertise, and regulatory framework.

Key points about FDA are:

Strengthening the FDA's oversight by allocating more resources, increasing enforcement capabilities, and implementing stricter regulations can enhance consumer protection and reduce the presence of potentially harmful or misleading products in the market.

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Answer:

see below

Step-by-step explanation:

9/ 14

----------

3/5

9/14 ÷ 3/5

Copy dot flip

9/14 * 5/3

Rewriting

9/3 * 5/14

3 * 5/14

Multiply 3*5

15/14

Change from an improper fraction to a mixed number

14/14 + 1/14

1 1/14

Answer:

\(\boxed{\mathrm{view \ explanation}}\)

Step-by-step explanation:

9/14 × 5/3

The factors can be canceled if they are factors of both the numerator of the first fraction and the denominator of the second fraction. The factors get cancelled leaving the second fraction to a whole number.

3/14 × 5

(3 × 5)/14

15/14

Answer:

3

Step-by-step explanation:

Because on the graph when  x is 2 y is 3 ( look on the red line that's the f(x0 graph)

The total calories from the ice cream are 302 kcal when a scoop of quality ice cream has 5 grams of protein, 21 grams of carbohydrate, and 22 grams of fat.

A vital component of wellbeing and growth is nutrition. Strengthened immune systems, safer pregnancies and deliveries, a decreased risk of non-communicable diseases, and longer life spans are all associated with better nutrition. Healthy kids learn more effectively.

calculation

Since we know that every gram of protein includes 4 kcal, 5 g will have 5 × 4 = 20 kcal.

According to our knowledge, each gram of carbohydrate carries 4 kcal, so 21g will contain 21 x 4 = 84 kcal.

Given that each gram of fat has 9 calories, 22 grams will have a caloric value of 22 x 9 = 198 calories.

20 + 84 + 198 = 302 kcal are the total calories from the ice cream.

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Answer:

$0.52

Step-by-step explanation:

3.19 (headband) - 2.67 (bracelet) = 0.52

Answer:

7 6 5 5

Step-by-step explanation:

the highest numbers should go in the leftmost digits place, as these are worth more

here, we put 7 in the thousands place, which is 2 thousand higher than if we put 5 in the thousands place

A χ2 statistic provides strong evidence in favor of the alternative hypothesis if its value is large. The χ2 statistic measures the difference between the observed and expected frequencies in a contingency table or the goodness-of-fit of observed data to an expected distribution.

To determine if the χ2 statistic is large enough to support the alternative hypothesis, we compare it to a critical value from the χ2 distribution with the appropriate degrees of freedom.

If the χ2 statistic exceeds the critical value, we reject the null hypothesis and conclude that there is strong evidence in favor of the alternative hypothesis.

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The χ2 statistic provides strong evidence in favor of the alternative hypothesis if its value is large.

In hypothesis testing, the χ2 statistic measures the difference between the observed frequencies and the expected frequencies under the null hypothesis.

If the observed frequencies differ significantly from the expected frequencies, then the χ2 statistic will be large.

To determine if the χ2 statistic is large enough to provide strong evidence in favor of the alternative hypothesis, we compare it to the critical value from the χ2 distribution.

The critical value depends on the significance level and the degrees of freedom.

For example, let's say we have a χ2 statistic value of 150 and a significance level of 0.05. We need to compare this value to the critical value from the χ2 distribution with the appropriate degrees of freedom.

If the critical value is less than or equal to 150, then the χ2 statistic provides strong evidence in favor of the alternative hypothesis.

On the other hand, if the critical value is greater than 150, then the χ2 statistic does not provide strong evidence in favor of the alternative hypothesis.

It's important to note that the exact interpretation of the χ2 statistic and its relationship to the alternative hypothesis depends on the specific hypothesis test being conducted.

The context of the problem and the research question will guide the interpretation of the results.

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The constant of proportionality in the equation in terms of cost per video is 2.

Option C is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 4 is an equation.

We have,

The cost of the video downloads (in dollars) is given by the equation.

c = 2v

where c is the total cost of the videos and v is the number of videos.

Now,

c = 2v can be written as,

c ∝ v

This means,

2 is the constant of proportionality.

Thus,

The constant of proportionality is 2.

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Answer:

(3×2) + (3×4)

Step-by-step explanation:

One box's area is 3×2 and the other box's area is 3×4, so when you add them, you get the total area.

Answer:

See below

Step-by-step explanation:

Best way to do this is to convert the equation to vertex form and that will tell you several points you can graph:

\(y=x^2-4x-1\\y+5=x^2-4x-1+5\\y+5=x^2-4x+4\\y+5=(x-2)^2\\y=(x-2)^2-5\)

Here, we can see that the vertex of the parabola is (2,-5) and that the axis of symmetry is x=2. You can also quickly get the y-intercept since plugging in x=0 gets you (0,-1). Finding a few more points should be pretty simple from here on out since your equation is more condensed.

The amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.

The total amount to be withdrawn in a year = 15265*2 = $30530

The total amount to be withdrawn in 35 years =$1068550

Compound interest is interest on interest along with interest on the principle.

Annual Rate of interest = 4.5%

Semi-annual rate of interest r=2.25%

Amount A= $1068550

\(1068550 =P(1+\frac{2.25}{100})^70\)

\(P = $225093.358\)

Therefore, the amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.

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Answer:

A//F

CE

BD

Step-by-step explanation:

since its an equilateral triangle you can split in half easily

Using compatible numbers and adjusting them helps us to perform mental math and make calculations faster. This method also helps us to estimate answers and check if the actual answer is reasonable or not.

To find sums, I would prefer to use the method of using compatible numbers and adjusting. The reason behind this is that it can help me to perform mental calculations and solve mathematical problems faster.What are compatible numbers?Compatible numbers are numbers that are close to the actual numbers, but are easier to work with mathematically. They are rounded numbers that make it easier to perform mental math. Once we have the answer, we can adjust it to get the correct answer.To solve an addition problem using compatible numbers, we choose numbers close to the actual numbers in the problem. For example, if we are adding 45 and 32, we can round the numbers to 50 and 30. Then we add 50 and 30 to get 80, which is the compatible number sum. But this is not the actual answer because we rounded the numbers, so we need to adjust. We subtract 5 from 50 and add 3 to 30 to get 45 and 33, respectively. Then we add the adjusted numbers (45 and 33) to get the correct answer, which is 78.Using compatible numbers and adjusting them helps us to perform mental math and make calculations faster. This method also helps us to estimate answers and check if the actual answer is reasonable or not.

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The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

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