A recipe for chocolate cake calls for 1 1/2 cups cups of sugar for every 2 1/4 cups of flour. If a baker has only 1/2 cup of sugar on hand, how much flour should he add to it to make chocolate cake batter?

Answer:

0.27 is the answer

I wish you luck in your assignments.

Answer:

Step-by-step explanation:

0.27

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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The area of the shaded region is 3915 units².

We have,

Area of the sector.

= 13.08 units²

Now,

To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.

Area = √[s(s - a)(s - b)(s - c)]

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case,

The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:

Calculate the semi-perimeter:

s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units

Use Heron's formula to find the area:

Area = √[7(7 - 5)(7 - 5)(7 - 4)]

= √[7(2)(2)(3)]

= √[84]

≈ 9.165 units (rounded to three decimal places)

Now,

Area of the shaded region.

= Area of the sector - Area of the isosceles triangle

= 13.08 - 9.165

= 3.915 units²

Thus,

The area of the shaded region is 3915 units².

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As the triangles are similar to each other, using congruent theorem, we get the value of side JK = 63.8.

Comparable triangles are those that resemble one another but may not be precisely the same size. Comparable items are those that share the same shape but differ in size.

This shows that when shapes are amplified or demagnified, they superimpose one another. This feature of similar shapes is often known as "similarity".

As per the triangles,

Let JK be = x.

GF/GH = JI/JK

⇒ 11/18 = 36 /x

⇒ x = 36 × 18/11

⇒ x = 63.8.

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Answer:

y = -1

Step-by-step explanation:

the x always has to be 0 so when you look at the point it is (0, -1 ) therefore the y = -1

Answer:

The coordinates are (3,1)

Step-by-step explanation:

Answer:

52, 53, 54, 55, 56, 59, 60, 61, 62, 88

Step-by-step explanation:

You need to start from 52 to 88 (least to greatest) and then you will get answer.

It will take kangaroo 7.5 minutes to travel 5 kilometers.

The kangaroo will travel 1.33 kilometers in 2 minutes.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Kangaroo hopes 2 kilometers in 3 minutes.

To find the time taken by kangaroo to travel 5 kilometers,

Use ratio property,

2 kilometers = 3 minutes,

1 kilometer = 3/2 minutes

5 kilometer 15/2 minutes.

In 15/2 or 4.5 minutes, kangaroo will travel 5 kilometers.

The distance travelled by kangaroo in 2 minutes,

In 3 minutes = 2 kilometers covered

in 1 minute = 2/3 kilometers covered

in 2 minutes = 4/3 kilometers will be covered.

So in 2 minutes the kangaroo will cover 4/3 or 1.33 kilometers.

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Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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Answer:

Step-by-step explanation:

The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.

Answer:

2 cups

Step-by-step explanation:

If 1/2 makes 1/4 of the recipe, all you have to do is times 1/2 by 4:)

Answer:

the LCD is a) (2x+1)(x-3)

Step-by-step explanation:

step 1.)

factorise: 2x²+1- 5x-3 becomes (2x+1)(x-3) when you factorise it and the 2x+1 stays (2x+1).

step 2.)

since 2x+1 are in both denominators you only write it once and don't forget to include x-3 as an LCD

therefore (2x+1)(x-3) is the LCD.

Answer:

156 M

Reasoning you add How far He has walked from his starting point

Step-by-step explanation:

Answer: 156 m here u go

The effective interest rate of the simple discount note is 6%.

The effective interest rate (EIR) of a simple discount note can be calculated using the following formula:

EIR = (Discount ÷ Face Value) x (360 ÷ t)

Where Discount is the difference between the face value and the discounted value, t is the time in days from the issuance of the note until its maturity, and 360 is the number of days in a year used for interest rate calculations.

In this case, the face value is $3,500, the bank discount rate is 11%, and the time to maturity is 24 months or 720 days.

Discounted value = Face value x (1 - Bank discount rate x t ÷ 360)

Discounted value = $3,500 x (1 - 0.11 x 720 ÷ 360)

Discounted value = $3,080

Therefore, the discount is $420 ($3,500 - $3,080).

Using the formula for EIR, we get:

EIR = ($420 ÷ $3,500) x (360 ÷ 720)

EIR = 0.06 or 6%

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Using the above property:

Given the following sample of three data points: 3, 6, 9, calculate the (estimated) standard error for the sample mean. Round to 3 decimal places.

s = √((3 - 8)² + (6 - 8)² + (9 - 8)²) / (3 - 1) = 4

2. Calculate the standard error of the sample mean:

SE = s / √n = 4 / √3 = 2.45

3. Round the standard error to three decimal places:

SE = 0.567

The standard error of the sample mean can be calculated by first finding the standard deviation of the sample (s). This is done by taking the sum of the squared differences between each data point and the mean, divided by the number of data points minus one. In this case, the standard deviation is 4. The standard error is then calculated by dividing the standard deviation by the square root of the number of data points, which is 3. The result is 2.45, which can be rounded to 0.567.

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Applying the inscribed angle theorem, the value of x in the given circle is: x = 35.

In the circle given, angle NWT is an inscribed angle in the given diagram and arc NT is the intercepted arc. According to the inscribed angle we have the following equation which we would use to solve for the value of x:

m<NWT = 1/2(measure of arc NT)

Plug in the values:

54 = 1/2(x + 2x + 3)

2(54) = x + 2x + 3

108 = 3x + 3

Solve for x:

108 - 3 = 3x

105 = 3x

105/3 = x

x = 35

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Answer:

Step-by-step explanation:

You'd use tangent for this.

opposite / adjacent

tan 60* = x/16

multiply both sides by 16

tan 60* = 1.73

tan 60* (1.73 x 16) = x

1660.8 = x

Your answer should be 1660.8

I don't know I think this is the answer

Answer:

27.712812921102

Step-by-step explanation:

To find the outcomes in the complement you have to subtract the given event from the total outcomes

Since the total outcome is 266 books

Since there are 180 mysteries, then

The complement of mysteries = 266 - 180 = 86

The complement of mysteries is 86 books

Answer:

m∠A = 78°

Step-by-step explanation:

The question tells us these angles are supplementary meaning they will add up to 180°. We can use the information to make an equation.

m∠A + m∠B = 180

3x + 18 + 5x + 2 = 180

8x + 20 = 180

8x = 160

x = 20

Now we can substitute the solution for x to find the measure of ∠A.

m∠A = 3(20) + 18

m∠A = 60 + 18

m∠A = 78

Answer:

0.5000

Step-by-step explanation:

According To The Question,

The Area under the Standard Normal Curve, We Can Use the Statistical Tables , That Reported Area As P(z < a) .  

Thus, We need to use the following Relationship.

Now solve, P(z > 0) = 1 - P(z < 0) ⇔ 1 - 0.5000 ⇔ 0.5000

(Diagram, Please Find in Attachment)

Answer:

A. is 99.9 which is greater than 90 and less than 100.

C. is 97.8 which is greater than 90 and less than 100.

D. is 95.2 which is greater than 90 and less than 100.

Step-by-step explanation:

Calculators are your bestfriend.. ^-^

Answer:

B. 38°

Step-by-step explanation:

The angles of a triangle add up to 180.

So, 62 + 80 + b will add up to 180.

First, we add 62 =80, which gives us 142.

The we subtract 142 from 180, which gives us 38.

Answer:

Step-by-step explanation:To calculate the savings percentage, we first need to find out the cost of the cardboard required for each box.

For the larger box:

Total Surface Area = 2 * (1926 + 1934.5 + 26*34.5) = 2 * (494 + 655.5 + 897) = 4093 cm²

Cost of cardboard for larger box = 0.502 * 4093 = 2055.986 cents = 20.55986 dollars (rounded to 5 decimal places)

For the smaller box:

Total Surface Area = 2 * (2517 + 2526 + 1726) + 6 * (25-21)* (17-2*1) = 3034 cm²

Note that the additional term in the equation is the surface area of the six sides of the lid and base of the box.

Cost of cardboard for smaller box = 0.502 * 3034 = 1522.268 cents = 15.22268 dollars (rounded to 5 decimal places)

The difference in cost between the larger and smaller boxes is:

20.55986 - 15.22268 = 5.33718 dollars (rounded to 5 decimal places)

The percentage savings can be calculated as follows:

Percentage savings = (difference in cost / cost of larger box) * 100%

= (5.33718 / 20.55986) * 100%

= 25.98%

Therefore, using the smaller box will result in a savings of approximately 26% on cardboard costs for Bathu Sneakers compared to using the normal larger box.

Answer:

Apne see kar Bsdk. Is Bais bano aur desh ko sangali warna patak ke chod denge XD

Answer: 42.26

Step-by-step explanation:

Answer:

42.26

Step-by-step explanation:

50.00

- 5.99

44.01

44.01

- 1.75

42.26

x and y have the values 7 and 7√2, respectively.

The sides of a right triangle with 45-degree acute angles have a unique ratio of 1:1:2.

We can use this information to determine the values of x and y because the base is specified as being 7.

Let's give the perpendicular side the value of x, and the hypotenuse the value of y.

The perpendicular side (x) and the base (7) have the same length because the acute angles are both 45 degrees.

Consequently, x = 7.

We can determine that x:y:2x using the ratio of 1:1:2.

When we enter the value of x, we may calculate y:

7:y:√2(7)

Simplifying even more

7:y:7√2

Given that the hypotenuse (y) equals 72, we can write:

y = 7√2

Thus, x and y have the values 7 and 7√2, respectively.

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Hubble's constant in units of km/s/million LY is approximately 21.47.

what is  approximately ?

Approximately means close to or nearly, but not exactly. It is used to indicate that a value or number is an estimation or approximation, rather than an exact value. It is often used when a precise value is not necessary or when the exact value is unknown or difficult to determine.

In the given question,

To convert Hubble's constant from km/s/Mpc to km/s/million LY, we need to multiply it by a conversion factor that accounts for the difference in distance units. We can use the fact that 1 Mpc is equal to 3.26 million LY:

1 Mpc = 3.26 million LY

Therefore, to convert Hubble's constant from km/s/Mpc to km/s/million LY, we can use the following conversion factor:

1 Mpc / 3.26 million LY

Multiplying Hubble's constant by this conversion factor gives:

H = 70 km/s/Mpc x (1 Mpc / 3.26 million LY) = 21.47 km/s/million LY

Therefore, Hubble's constant in units of km/s/million LY is approximately 21.47.

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