The recipe for brownies requires 2/3 cup of sugar. Jennie wants to make 3/4 of the recipe. How many cups of sugar should Jennie use to make the brownie?

The approximate area of the lake where the resort has ownership responsibility is 711.82 meters².

Area of sector = (central angle / 360°) * π * radius²

We know that the central angle is 50°, the radius is 130 meters, and π is approximately equal to 3.14.

Plugging these values into the formula, we get:

Area of sector = (50° / 360°) * 3.14 * 130²

Area of sector = 25/72 * 3.14 * 16900

Area of sector = 15750/22

Area of sector = 711.82 meters²

Therefore, the approximate area of the lake where the resort has ownership responsibility is 711.82 meters².

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Answer:

The answer is 2

Step-by-step explanation:

f(x)=√x+2 +2

when x=2

f(2)=√2+2 +2

f(2)=√4 +2

f(2)=2+2

f(2)=4

Answer:

A) y = -3x -2

Step-by-step explanation:

1. start at point (-1,1)

2. move down 3 (-3) and over to the right 1 (1)

3. that makes your slope -3/1 which is just -3.

4. find your y-intercept: -2

5. using y=mx+b, plug in your numbers and you get

6. y = -3x -2

Hope this helps! Brainliest, please!

Answer:

Will clearly has 23 snow balls

Sarah has 161 snow balls

Logan has 322 snow balls

All in all thats a lotta dam snow balls hehe :)

Step-by-step explanation:

hope this helps yall :)

9514 1404 393

Answer:

  (b)  27

Step-by-step explanation:

It appears as though we're to assume that KM is a diameter, through circle center point N. That makes triangle KLM a right triangle, so angle K is the complement of angle M.

  ∠K = 180° -63° = 27°

Answer:

The answer is 15

Step-by-step explanation:

Simply because it’s asking for the length ON BOTH SIDES so it’s a triangle and on the top of the triangle is a D than the 2 other ends are S and A

Answer:

(0.5, 0.5)

Step-by-step explanation:

draw lines in the middle of each side and the points line up in one spot

Let the common root is ‘x’

Let the common root is ‘x’x2 + ax + b = 0 ……(1)

Let the common root is ‘x’x2 + ax + b = 0 ……(1)x2 + bx + a = 0 ……(2)

Let the common root is ‘x’x2 + ax + b = 0 ……(1)x2 + bx + a = 0 ……(2)Subtract equation (2) from (1), we get

Let the common root is ‘x’x2 + ax + b = 0 ……(1)x2 + bx + a = 0 ……(2)Subtract equation (2) from (1), we get(a – b)x + (b –a) = 0

Let the common root is ‘x’x2 + ax + b = 0 ……(1)x2 + bx + a = 0 ……(2)Subtract equation (2) from (1), we get(a – b)x + (b –a) = 0⇒ x = (a-b)/(a-b) = 1

Let the common root is ‘x’x2 + ax + b = 0 ……(1)x2 + bx + a = 0 ……(2)Subtract equation (2) from (1), we get(a – b)x + (b –a) = 0⇒ x = (a-b)/(a-b) = 1⇒ x = 1

Let the common root is ‘x’x2 + ax + b = 0 ……(1)x2 + bx + a = 0 ……(2)Subtract equation (2) from (1), we get(a – b)x + (b –a) = 0⇒ x = (a-b)/(a-b) = 1⇒ x = 1⇒ {1 + a + b = 0} (From equation (1))

Let the common root is ‘x’x2 + ax + b = 0 ……(1)x2 + bx + a = 0 ……(2)Subtract equation (2) from (1), we get(a – b)x + (b –a) = 0⇒ x = (a-b)/(a-b) = 1⇒ x = 1⇒ {1 + a + b = 0} (From equation (1))⇒ a + b = –1

Answer:

14 ft

Step-by-step explanation:

area = length * width

140 sq ft = 10 ft * width

width = (140 sq ft)/(10 ft)

width = 14 ft

42+73=115

sum of angle is 180

180-115= 65

Answer:

( ) first -8 x 4 =-32 so diagree

Answser

Disagree

Step-by-step explanation:

With the parentheses it means you multiply 4 x -8. so this means the 4-8 would not equal 4 x -8

Step 1

Given

Required: To find where the graph of both functions intersect. In other words the find the value of x and hence f(x) and g(x).

Step 2

Solve both equations simultaneously.

Subtract equation 2 from 1

Hence,

Step 3

Check

Hence the graph intersects at the point where x = 1.6 and y =6.2. Remember y = f(x) and g(x)

Brian is expected to roll a number greater than 4, 4 times

In a fair die, we have:

Faces = 6

Faces greater than 4 = 2 i.e. 5 and 6

So, the probability to roll a number greater than 4 is:

p = 2/6

When the dice is rolled 12 times, the expected value is:

Expected = 2/6 * 12

Evaluate

Expected = 4

Hence, Brian is expected to roll a number greater than 4, 4 times

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The slope of the line that contains these points is 0.75.

The slope of a line is the change in y-values divided by the change in x-values. In other words, it is the rise over the run. We can use the points given to calculate the slope.

Let's take the first two points (9, -24) and (13, -21) and use the formula for slope:

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

slope = (-21 - (-24)) / (13 - 9)

slope = (3) / (4)

slope = 0.75

We can do the same with the other two points (17, -18) and (21, -15):

slope = (-15 - (-18)) / (21 - 17)

slope = (3) / (4)

slope = 0.75

Since the slope is the same for both sets of points, we can conclude that the slope of the line that contains these points is 0.75.

The slope of the line that contains these points is 0.75.

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Answer:

Step-by-step explanation:

2/13=6 reminder 1

2/6= 3 reminder 0

2/3= 1 reminder 1

2/1= 0 reminder 1

13 becomes 1101 base two/ binary form

The conversion of number from decimal to binary:

\((13)_{10}=(1101)_{2}\)

\((121)_{10}=(1111001)_{2}\)

\((252)_{10}=(11111100)_{2}\)

\((1023)_{10}=(1111111111)_{2}\)

\((2049)_{10}=(100000000001)_{2}\)

Recursively multiplying the given decimal number by two is one way to convert a decimal number to a binary number. The remainders are then recorded until we arrive at 0 as the final quotient. The remainders are then entered in reverse order to obtain the binary equivalent of the provided decimal number.

The number is 13.

13 ÷ 2 = 6, Remainder = 1

6 ÷ 2 = 3, Remainder = 0

3 ÷ 2 = 1, Remainder = 1

1 ÷ 2 = 0, Remainder = 1

So, \((13)_{10}=(1101)_{2}\)

The number is 121.

121 ÷ 2 = 60, Remainder = 1

60 ÷ 2 = 30, Remainder = 0

30 ÷ 2 = 15, Remainder = 0

15 ÷ 2 = 7, Remainder = 1

7 ÷ 2 = 3, Remainder = 1

3 ÷ 2 = 1, Remainder = 1

1 ÷ 2 = 0, Remainder = 1

So, \((121)_{10}=(1111001)_{2}\)

The number is 252.

252 ÷ 2 = 126, Remainder = 0

126 ÷ 2 = 63, Remainder = 0

63 ÷ 2 = 31, Remainder = 1

31 ÷ 2 = 15, Remainder = 1

15 ÷ 2 = 7, Remainder = 1

7 ÷ 2 = 3, Remainder = 1

3 ÷ 2 = 1, Remainder = 1

1 ÷ 2 = 0, Remainder = 1

So, \((252)_{10}=(11111100)_{2}\)

The number is 1023.

1023 ÷ 2 = 511, Remainder = 1

511 ÷ 2 = 255, Remainder = 1

255 ÷ 2 = 127, Remainder = 1

127 ÷ 2 = 63, Remainder = 1

63 ÷ 2 = 31, Remainder = 1

31 ÷ 2 = 15, Remainder = 1

15 ÷ 2 = 7, Remainder = 1

7 ÷ 2 = 3, Remainder = 1

3 ÷ 2 = 1, Remainder = 1

1 ÷ 2 = 0, Remainder = 1

So, \((1023)_{10}=(1111111111)_{2}\)

The number is 2049.

2049 ÷ 2 = 1024, Remainder = 1

1024 ÷ 2 = 512, Remainder = 0

512 ÷ 2 = 256, Remainder = 0

256 ÷ 2 = 128, Remainder = 0

128 ÷ 2 = 64, Remainder = 0

64 ÷ 2 = 32, Remainder = 0

32 ÷ 2 = 16, Remainder = 0

16 ÷ 2 = 8, Remainder = 0

8 ÷ 2 = 4, Remainder = 0

4 ÷ 2 = 2, Remainder = 0

2 ÷ 2 = 1, Remainder = 0

1 ÷ 2 = 0, Remainder = 1

So, \((2049)_{10}=(100000000001)_{2}\)

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Answer:

Step-by-step explanation:

Let the required number is x.

If we add 1 to x, then this number will be divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10.

We need to find LCM of these

Factor the numbers and find LCM

We got x + 1 = 2520, then:

Two samples drawn from two populations are independent if the selection of one sample from a population is not related to the selection of the second sample from the same population. Option C is correct:

Independence is a fundamental concept in statistics when working with samples from different populations. It refers to the absence of any relationship or connection between the two samples. Option C correctly states that the selection of one sample from a population is not related to the selection of a second sample from the same population.

If the selection of one sample were related to the selection of the second sample from the same population (Option A), it would introduce bias and invalidate the assumption of independence. Similarly, if the two samples selected from the same population had a relationship or connection (Option B), it would violate the principle of independence.

Option D, stating that the selection of one sample from one population does not affect the selection of the second sample from the second population, is not the correct definition of independence. Independence refers to the relationship between samples drawn from the same population, rather than between samples drawn from different populations.

In summary, the independence of two samples implies that the selection of one sample from a population does not affect the selection of the second sample from the same population (Option C). This concept is crucial in statistical analysis to ensure unbiased and reliable results when working with multiple samples.

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SHDHSB SSHD EUDXD EJDJXJEX SJDJWIDIJDWN SSHWIJJSJ

Step-by-step explanation:

XJDUXIDB DUDUU

Since there are 3 friends and each friend gets 6 paintbrushes, multiply 6 times 3 to find the total amount of paintbrushes that were in the container:

The rate of consumption of fuel of Matt's car is 37 miles per gallon (mpg).

Matt's car can travel a total distance of 555 miles.
The fuel required to travel the total distance is 15 gallons by Matt's car.
Hence the rate of consumption of fuel of Matt's car can be measured in mpg (miles per gallons) as = Total distance travelled / Total gallons required to travel that distance
(that is, total distance travelled divided by the total amount of gallons to travel the same)
Thus the mpg of Matt's car is = 555 miles / 15 gallons
= 37 miles per gallon
(that is 37 mpg)

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The dimensions of the closed rectangular box with a square base and volume of 8000 cubic centimeters that can be constructed with the least amount of material are 20 cm.

Let the length and width of the rectangular box with a square base be x.

and the height is y.

The volume, V = 8000 = \(x^{2} y\)       --------(1)

The surface area, S = 2\(x^{2}\) + 4xy .   -------(2)

S =  2\(x^{2}\) + 4xy and  8000/ \(x^{2}\) =y     -------( from 1 and 2)

so, S= 2\(x^{2}\) + 4x(8000/ \(x^{2}\))

S= 2\(x^{2}\) + 32000/x

to find the least amount of material to be used, we will differentiate the surface area w.r.t x.

ds/dx= 0 = 4x - 32000/\(x^{2}\)

therefore, we have, 4x = 32000/\(x^{2}\)

                                 4\(x^{3}\) =32000

                                   \(x^{3}\) =8000

                                     x=20

Hence, The dimensions of the closed rectangular box with a square base and volume of 8000 cubic centimeters that can be constructed with the least amount of material are 20 cm.

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If a short-day (long-night) plant flowers, you know that it received more consecutive hours of darkness than its critical period.

This is because short-day plants (also known as long-night plants) require a certain period of uninterrupted darkness (usually around 12-16 hours) to trigger flowering. If the plant receives more hours of darkness than its critical period, it will flower.

If it receives fewer hours of darkness than its critical period, it will not flower. Similarly, long-day (short-night) plants require a certain period of uninterrupted light to trigger flowering. If they receive more hours of light than their critical period, they will flower, but if they receive fewer hours of light than their critical period, they will not flower.

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The statement (d) expected frequencies must be whole numbers is not a condition or assumption in statistical analysis.

Among the given options, the statement that is not a condition or assumption in statistical analysis is (d) expected frequencies must be whole numbers.

Let's discuss each statement in detail:

a. The expected frequency is found assuming that the distribution is as claimed:

This statement is correct. In statistical analysis, when conducting hypothesis tests or calculating expected values, we often assume a specific distribution for the data, such as the normal distribution. The expected frequency is then calculated based on this assumed distribution, and it represents the average number of occurrences we would expect to observe in each category or group.

b. Observed frequencies must be whole numbers:

This statement is also correct. In statistical analysis, the observed frequencies represent the actual counts or occurrences of a particular outcome or category. Since we are dealing with real-world data, the observed frequencies must be whole numbers. We cannot have fractional or decimal frequencies, as they do not make sense in the context of counting or tallying observations.

c. The observed frequency is found from sample data values:

This statement is true. The observed frequency refers to the actual count or number of occurrences of a specific outcome or category obtained from the sample data. It represents the empirical evidence collected from the sample and serves as the basis for further statistical analysis and inference.

d. Expected frequencies must be whole numbers:

This statement is not accurate. Expected frequencies are calculated based on probability distributions and assumptions made about the data. These expected frequencies can often be fractional or decimal values. The expected frequencies represent the theoretical or predicted number of occurrences we would expect to observe in each category or group based on the assumed distribution and other relevant factors.

In summary, expected frequencies can be fractional or decimal values and are derived based on probability distributions and assumptions about the data. On the other hand, observed frequencies must be whole numbers as they represent the actual counts or occurrences in the sample data.

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Answer:

Follows are the responses to this question:

Step-by-step explanation:

In this question, if both quadratic trinomials include opposite \(x^2\) terms of signs, it's indeed possible that's also possible, which is why the quadratic \(x^2+2x +1 \ and \ -x^2 + 4x -5\) cancels the  \(x^2 \ to\ 6x- 4\), which would be a linear binomial.  that's why this statement is true that the "two quadratic trinomials have \(x^2\) -terms in signs opposite".

The coefficients of the terms whose exponents are two, should be added to zero to get the linear binomial.

The general form of a quadratic equation is given as ax^2 + bx + c = 0.

Here, a ≠ 0 and b and c are integers.

The degree of a quadratic equation is 2.

Suppose the two quadratic trinomials are given as follows,

p(x) = a₁x² + b₁x + c₁

And, q(x) = a₂x² + b₂x + c₂.

The sum of these trinomials are given as,

p(x) + q(x) =  a₁x² + b₁x + c₁ + a₂x² + b₂x + c₂.

⇒ p(x) + q(x) = (a₁ + a₂)x² + (b₁ + b₂)x + (c₁ + c₂)

In order of the sum to be a linear binomial, the coefficient of x² should be zero.

Then, it can be written as,

a₁ + a₂ = 0

⇒ a₁ = -a₂

Hence, the required result can be obtained when the sum of the coefficients of x² is zero.

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Answer: 50 and 900 is correct

Step-by-step explanation:

50 and or 100

The expression 9x+8 x 10x x 8x+10 when simplified is 9x + 640x² + 10

To simplify this expression, we can first distribute the terms inside the parentheses:

9x + 8 * 10x * 8x + 10

i.e.

9x + (8 * 10x * 8x) + 10

Next, we can simplify the products

9x + (640x²) + 10

Then, we can use the distributive property again:

9x + 640x² + 10

Finally, we can combine like terms:

9x + 640x² + 10

Therefore, the simplified expression is 640x² + 809x.

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Answers:

76 inches is   4   inches below the mean

This is   1     standard deviation below the mean

=================================================

Explanation:

Subtract the two values 80 and 76 to find that 80-76 = 4, meaning 76 is 4 units below the mean. This gap width is 1 standard deviation because the given standard deviation is 4.