Draw a figure that has four collinear points

r = 2

Area = πr^2

= π2^2

= π4

= 12.566370

The area of the circle is 12.57 units squared.

Answer: yes

2x^2yx(x^2+2y)

Step-by-step explanation:

2x^4y+4x^2y^2

2x^2yx(x^2+2y)

Answer:

7x-y = 2

Step-by-step explanation:

i think it is right I"m not very sure

a point estimate for p is 75.6 %

To calculate point estimate

point estimate = \(\frac{59}{78} \times 100\) = 75.6%

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Question:

A random sample of 78 students were interviewed and 59 said they would vote fore a democrat in the 2008 election. 1. Let p represent the proportion of all students at this college who will vote for a democrat. Find a point estimate p for p.

Answer:

0.59

Step-by-step explanation:

Answer:

scientific notation

= 2.34e8

scientific e notation

= 234 × 106

engineering notation

million; prefix mega- (M)

= 2.34 × 108

standard form

8

Order of Magnitude

for scientific and standard forms

= 234000000

(real number)

= two hundred thirty-four million

word form

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

looked it up because I have no Idea lol

The mathematical expression is,

⇒ c ÷ 22

⇒ c / 22

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

⇒ c is divided by 22.

Now, We can simplify the expression as;

⇒ c ÷ 22

⇒ c / 22

Thus, The mathematical expression is,

⇒ c ÷ 22

⇒ c / 22

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Answer:

The coordinates of the vertices after the dilation by a scale factor 1/5 centered at the origin  will be:

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

If the scale factor > 1, the image is enlarged

If the scale factor is between 0 and 1, it gets shrunk

If the scale factor = 1, the object and the image are congruent

Rule to calculate the dilation by a scale factor 1/5 centered at the origin

P(x, y) → P'(1/5x, 1/5y)

Here, P'(1/5, 1/5y) is the image of P(x, y).

Given the vertices of the triangle UVW

U (-5, -10)

V (0, -10)

W (-5, 10)

so

Rule to calculate the dilation by a scale factor 1/5 centered at the origin

P(x, y) → P'(1/5x, 1/5y)

U (-5, -10) → U'(1/5(-5), 1/5(-10))  → U'(-1, -2)

V (0, -10) → V'(1/5(0), 1/5(-10))  → V'(0, -2)

W (-5, 10) → W'(1/5(-5), 1/5(10))  → W'(-1, 2)

Therefore, the coordinates of the vertices after the dilation by a scale factor 1/5 centered at the origin  will be:

Answer: Yes.

Step-by-step explanation:

600 x 0.41 or 41% = 246, which yes is different from 0.41.

Andrew's batting average going into the series is 200, based on exactly 2 out of 10 at-bats. To calculate the lowest possible average after the series, we need to consider the worst-case scenario where Andrew does not get any hits in the remaining 4,000 at-bats.

The formula to calculate batting average is (total hits / total at-bats). Adding the 2 hits from before the series, the total hits would be 2, and the total at-bats would be 4,010. Dividing 2 by 4,010 and rounding to three decimal places, the lowest possible average after the series would be 0.000.

Andrew's batting average going into the series is 200, which means he had 2 hits in 10 at-bats. To find the lowest possible average after the series, we consider the worst-case scenario where Andrew does not get any more hits in the remaining at-bats.

Adding the 2 hits from before the series to the total hits, we have 2 + 0 = 2 hits. The total at-bats would be 10 + 4,000 = 4,010.

To calculate the batting average, we divide the total hits by the total at-bats: 2 / 4,010 ≈ 0.00049875287. Rounding this value to three decimal places, we get 0.000 as the lowest possible average after the series.

Therefore, the lowest possible average after the series, assuming Andrew does not get any more hits, would be 0.000. This scenario represents the worst-case outcome for his batting average.

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Integer: 12

Irrational numbers: -2√10 and √20

Rational numbers: 17/4, 0.25, and -77/11.

Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."

Given:

There are rational and irrational numbers in the image.

The numbers can be written in the form of p/q, where q is never zero is rational numbers.

And rest of the numbers are irrational numbers.

So, the solutions are given in the image below.

√144 = 12

0.25 = 25/100 = 1/4

Therefore, the solutions are given in the image below.

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Rounding up to the nearest unit, it would take Calvin approximately 27 months to pay off his credit card with a monthly payment of $165.

To determine how long it would take Calvin to pay off his credit card, we need to consider the monthly payment amount and the interest rate. Let's calculate the time it would take for two different monthly payment amounts: $220 and $165.

a. Monthly payment of $220:

Let's assume the initial balance on Calvin's credit card is $3,000, and the annual interest rate is 4 percent. To calculate the monthly interest rate, we divide the annual interest rate by 12 (number of months in a year):

Monthly interest rate = 4% / 12 = 0.3333%

Now, we can calculate the time it would take to pay off the credit card using the monthly payment of $220 and the monthly interest rate. We'll use a formula for the number of months required to pay off a loan with fixed monthly payments:

n = -(log(1 - (r * P) / A) / log(1 + r))

Where:

n = number of months

r = monthly interest rate (as a decimal)

P = initial balance

A = monthly payment

Plugging in the values:

n = -(log(1 - (0.003333 * 3000) / 220) / log(1 + 0.003333))

Using a calculator, we can find:

n ≈ 15.34

Rounding up to the nearest unit, it would take Calvin approximately 16 months to pay off his credit card with a monthly payment of $220.

b. Monthly payment of $165:

We can repeat the same calculation using a monthly payment of $165:

n = -(log(1 - (0.003333 * 3000) / 165) / log(1 + 0.003333))

Using a calculator, we find:

n ≈ 26.39

Please note that these calculations assume that Calvin does not make any additional charges on his credit card during the repayment period. Additionally, the interest rate and the balance are assumed to remain constant. In practice, these factors may vary and could affect the actual time required to pay off the credit card balance.

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You can find the slope of the secant line PQ for other values of x by substituting them into the expression for the slope:

For x = 2:

slope = -1 / (3 - 2(2))

slope = -1 / (3 - 4)

slope = -1 / (-1)

slope = 1

To find the slope of the secant line PQ, we need two points on the line: P(x, 4) and Q(3 - x, 3).

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:

slope = (y2 - y1) / (x2 - x1)

In this case, the coordinates of P are (x, 4) and the coordinates of Q are (3 - x, 3). Plugging these values into the slope formula, we have:

slope = (3 - 4) / (3 - x - x)

slope = -1 / (3 - 2x)

To find the slope of the secant line for different values of x, we substitute those values into the expression for the slope.

For example, if x = 1, the slope of the secant line PQ is:

slope = -1 / (3 - 2(1))

slope = -1 / (3 - 2)

slope = -1 / 1

slope = -1

Similarly, you can find the slope of the secant line PQ for other values of x by substituting them into the expression for the slope:

For x = 2:

slope = -1 / (3 - 2(2))

slope = -1 / (3 - 4)

slope = -1 / (-1)

slope = 1

And so on, you can calculate the slope of the secant line for different values of x.

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The temperature of the turkey after 4.5 hours in the oven is 192°F, to the nearest degree.

We have,

We can use the given formula to solve for the value of k:

T = Ta + (To – Ta)e^{-kt}

Ta = 350°F (oven temperature),

To = 69°F (room temperature),

T = 110°F (temperature after 2 hours).

Plugging these values in and solving for k, we get:

110 = 350 + (69 - 350)e^{-2k}

-240 = -281e^{-2k}

0.855 = e^{-2k}

ln(0.855) = -2k

k = 0.211

Now that we know k, we can use the same formula to find the temperature of the turkey after 4.5 hours:

T = Ta + (To – Ta)e^{-kt}

Ta = 350°F,

To = 69°F

k = 0.211.

Plugging these values in and solving for T.

T = 350 + (69 - 350)e^{-0.211(4.5)}

T = 192

Thus,

The temperature of the turkey after 4.5 hours in the oven is approximately 192°F, to the nearest degree.

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Answer:

I say the answer is D

Step-by-step explanation:

I

think

it

is

D

Answer:

Combine like terms (add the 5x to the -2x to get 3x). Move the -4 to the other side to get 3x= 12. Divide both sides by 3 to get x=4

plz give me brainly if its right

Step-by-step explanation:

Answer:

M(-2; -5)

Step-by-step explanation:

Answer:

third option

Step-by-step explanation:

using the cosine ratio in the right triangle

cos35° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{FH}{GH}\) = \(\frac{18.4}{GH}\) ( multiply both sides by GH )

GH × cos35° = 18.4 ( divide both sides by cos35° )

GH = \(\frac{18.4}{cos35}\)

The mean amount of sugar in children cereal using a 99 % confidence interval can be found to be 8.55 to 13.13 grams.

To estimate the mean amount of sugar in children's cereal using a 99% confidence interval, we'll first calculate the sample mean, sample standard deviation, and then use the t-distribution to find the confidence interval.

n = 19 (number of data points)

Mean = (Σx) / n = (10+14+12+9+13+13+13+11+12+15+9+10+11+3+6+12+15+12+12) / 19 = 10.84

s = √(Σ(x - x bar )² / (n - 1)) = √(((-0.84)²+...+(1.16)²) / (19-1)) = 3.42

Since the sample size is small and the population standard deviation is unknown, we'll use the t-distribution. For a 99% confidence interval with 18 degrees of freedom (n-1), the t-value is approximately 2.898.

Margin of error:

= t x (s / √n)

= 2.898 x (3.42 / √19)

= 2.29

Lower limit = x bar - Margin of error = 10.84 - 2.29 = 8.55

Upper limit = x bar + Margin of error = 10.84 + 2.29 = 13.13

The 99% confidence interval for the mean amount of sugar in children's cereal is approximately 8.55 to 13.13 grams.

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The full question is:

Many people feel that cereal is healthier alternative for children over glazed donuts. Table #8.3.5 contains the amount of sugar in a sample of cereal that is geared towards children ("Healthy breakfast story," 2013).

Estimate the mean amount of sugar in children cereal using a 99% confidence level. Table #8.3.5: Sugar Amounts (g) in Children’s Cereal 10 14 12 9 13 13 13 11 12 15 9 10 11 3 6 12 15 12 12

Answer:

1/2

Step-by-step explanation:

(3-2)/(2-0) = 1/2

Answer:

7+2√10

Step-by-step explanation:

Answer:

7+2√10

Step-by-step explanation:

To determine the proportion of at-home games that were wins, we need to calculate the conditional probability of a win given that the game was played at home. Let's denote the proportion of at-home games that were wins as P(W|H).

We know that 60% of all games were at-home games, which means that 0.60 is the probability of an at-home game (P(H)). We also know that 40% of all games were wins, so the probability of a win (P(W)) is 0.40. Additionally, we are given that 35% of all games were at-home wins, which means P(W∩H) = 0.35.

To find P(W|H), we can use the conditional probability formula:

P(W|H) = P(W∩H) / P(H)

Substituting the given values:

P(W|H) = 0.35 / 0.60

Calculating the result:

P(W|H) ≈ 0.5833

Rounding to two decimal places, the proportion of at-home games that were wins is approximately 0.58 or 58%.

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Answer:

2 11/15

Step-by-step explanation:

Answer:

41/15

Step-by-step explanation:

\(4\frac{1}{10}\) ÷\(1\frac{1}{2}\)

first convert mixed fraction into or improper fractions.

=4*10+1/10 ÷ 1*2+1/2

=41/10 ÷ 3/2

convert division sign to multiplication and do the reciprocal.

=41/10 * 2/3

=41*2/10*3

=82/30

=41/15

Answer:

|2x + y - 3z|

Plug in the values

|-4 + 10 - 9|

= |-3|

= 3

Step-by-step explanation:

the answer is (3) because when all the letters are turned into numbers then solved it becomes [-4+10+(-9)] then you have to turn it into a positive because of the lines.

The number of people who finished the race is 18.

In the first half of the race, 2/5 of them dropped out. The remaining will be:

= 1 - 2/5 = 3/5

In the second half of the race, 5/8 of the remaining runners dropped out. This will be:

= 5/8 × 3/5

= 3/8

Therefore, this that finished the race will be:

= 80 - [(2/5 + 3/8) × 80]

= 80 - (31/40 × 80)

= 80 - 62

= 18

The concept of fractions was used

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The remaining 50.4% of the variance has not been accounted for, and it could be due to other factors that are not captured by the two variables being studied.

If the correlation between two variables is .496, it means that 49.6% of the variance has been accounted for. This is because the correlation coefficient measures the strength and direction of the linear relationship between the two variables, and it ranges from -1 to 1.

A correlation of 1 indicates a perfect positive linear relationship, while a correlation of -1 indicates a perfect negative linear relationship. In this case, a correlation of .496 indicates a moderate positive linear relationship.

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