Sierra has a recipe she wants to make. She has to use eggs and sticks of butter. The ratio for these ingredients is 12 to 4 to make 4 batches. What will the equivalent ratio be if she wants to make 2 batches?

Answer:

Javon is incorrect

Step-by-step explanation:

You have to subtract 5 both sides to move it to the other side:

5 -2x -1/3 = 4

5 - 5 - 2x - 1/3 = 4 -5

-2x - 1/3 = -1

Answer:

Javon is incorrect because he didnt subtract 5 from both sides, or add -5

Step-by-step explanation:

I had this question

Answer:

2(x² + 5)

Step-by-step explanation:

To factor 2x² + 10, we can first factor out the greatest common factor of the terms, which is 2:

2x² + 10 = 2(x² + 5)

We can't factor anymore, so the answer is:

2(x² + 5)

Answer:

2(x² + 5)

Step-by-step explanation:

To factorise this, do the distributive property backwards. In other words:

2x² + 10

2x² ÷ 2 + 10 ÷ 2

x² + 5

2(x² + 5)

∴ 2(x² + 5) is the answer

If circle with center N with m∠MNP=124 ∘ and MN=13,  the area of sector MNP is approximately equal to 194.86 square units.

To find the area of a sector of a circle, we need to use the formula:

Area of sector = (central angle/360°) x πr²

Where r is the radius of the circle.

In this problem, we know that the central angle m∠MNP is 124° and MN, which is also the radius of the circle, is 13. So we can substitute these values into the formula:

Area of sector = (124/360) x π(13)²

Area of sector ≈ 194.86

Therefore, the area of sector MNP is approximately equal to 194.86 square units.

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a. The probability that a student scored below 91 on this exam is 0.9878

b. The probability that a student scored between 65 and 89 is 0.8186.

c. A grade of 68 on the second exam is better than a grade of 81 on the first exam for the given conditions

a. To find the probability that a student scored below 91 on the exam, we need to find the area under the normal distribution curve to the left of 91. Using a standard normal distribution table or calculator, we can find the corresponding Z-score as:

Z = (91 - 73) / 8 = 2.25

The probability of scoring below 91 is then the same as the probability of a standard normal random variable being less than 2.25, which is approximately 0.9878.

b. To find the probability that a student scored between 65 and 89, we need to find the area under the normal distribution curve between these two values. Using the Z-score formula as above, we find:

Z1 = (65 - 73) / 8 = -1.00

Z2 = (89 - 73) / 8 = 2.00

Using a standard normal distribution table or calculator, we can find the probability of a standard normal random variable being between -1.00 and 2.00, which is approximately 0.8186.

c. To determine if a grade of 81 on this exam or a grade of 68 on a different exam is better if the professor grades on a curve, we need to find the Z-score that corresponds to the top 10% of the class. Using a standard normal distribution table or calculator, we can find this Z-score as:

Z = 1.28 (approximately)

For the first exam, the Z-score corresponding to a grade of 81 is:

Z = (81 - 73) / 8 = 1.00

Since 1.00 < 1.28, a grade of 81 is not in the top 10% of the class. For the second exam, the Z-score corresponding to a grade of 68 is:

Z = (68 - 62) / 3 = 2.00

Since 2.00 > 1.28, a grade of 68 is in the top 10% of the class. Therefore, if the professor grades on a curve, a grade of 68 on the second exam is better than a grade of 81 on the first exam.

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Answer:

The answer is : x>4

Step-by-step explanation:

3(5-x)<5x-17

15-3x<5x-17

-3x-5x<-17-15

-(3x+5x)<-(17+15)

3x+5x>17+15

8x>32

x>\(\frac{32}{8}\)

x>4

Answer:

1. B

2. B

3. B

4. A

5. D

6. A

7. C

8. D

9. A

10. C

The Solution.

The given function that defined the number of books left unread after reading for t months is

We shall find b(9), which is, the number of books left unread after reading consistently for 9 months.

This means that 30 books were left unread after reading consistently for 9 months.

The correct answer is 30 books unread after reading for 9 months.

The trigonometric identities indicates that the value of the expression, (1/cot²θ) + cos²θ - sec²θ is the option;

D. -sin²θ

Trigonometric identities are trigonometric equations that are true for the possible values of the input variables.

The expression can be presented as follows;

(1/(cot²θ) + cos²θ - sec²θ

The trigonometric identities for cotangents indicates that we get;

1/(cot²θ) = tan²θ

sec²θ = tan²θ + 1

Therefore;

(1/(cot²θ) - sec²θ = tan²θ - (tan²θ + 1) = -1

Therefore;

(1/(cot²θ) + cos²θ - sec²θ = (1/(cot²θ) - sec²θ + cos²θ = -1 + cos²θ

(1/(cot²θ) + cos²θ - sec²θ = -1 + cos²θ

cos²θ + sin²θ = 1

Therefore;

sin²θ = 1 - cos²θ

-sin²θ = -(1 - cos²θ) = -1 + cos²θ

Therefore;

(1/(cot²θ) + cos²θ - sec²θ = -1 + cos²θ = -sin²θ

The correct option is option D.  -sin²θ

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Answer:

Assumptions before conduction hypothesis test are mentioned below in the explanation.

Step-by-step explanation:

As this question is incomplete, and I will try my best to answer this question.

We are asked in this question to write the assumptions that  we check before conducting the hypothesis test.

Solution:

Assumptions of hypothesis test:

1. We have to make assumption that all the observations are independent.

2. Secondly, we need to take assumption that, all the parent population of the data reflects normal distribution.

3. Furthermore, we need to assume that experimental error or random error is independently identical and normally distributed with mean "0" and variance of (σ^2).

Above are the assumptions that we should check before conducting hypothesis test.

Answer:

441

Step-by-step explanation:

Get each side of the square
84/4 = 21
Multiply to get the area
21*21 = 441

Answer:

441 feet

Step-by-step explanation:

4 times s is how you find the perimeter of a square so we can put this in an equation

4s=84

/4. /4

s=21

Now to find area we multiply side by side or side squared

21x21

441

Hopes this helps please mark brainliest

Answer:

12/20

Step-by-step explanation:

\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)

The answer is:

In-depth-explanation:

The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.

We need to multiply both the numerator and the denominator by 4, so we do this:

\(\sf{\dfrac{3\times4}{5\times4}}\)

\(\sf{\dfrac{12}{20}}\)

Answer:

A

Step-by-step explanation:

Round up Rosa's time and round down Ians time.

The probability distribution of the number of customers that enter the store on a given day is described as follows:

Poisson with a mean of 70 customers.

In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:

Hence the mean is of:

8 + 16 + 18 + 28 = 70 customers.

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Answer:

$138.94

Step-by-step explanation:

The employee will get $46.31 off the purchase.

Discount = Original Price x Discount %/100

Discount = 185.25 × 25/100

Discount = 185.25 x 0.25

You save = $46.31

Final Price = Original Price - Discount

Final Price = 185.25 - 46.3125

Final Price = $138.94

Answer:

He will pay $138.94.

Step-by-step explanation:

We know he gets a 25% discount, which means we have to:

Therefore, he will pay a total cost of $138.94.

Hope this helps!

Answer:

$60

Step-by-step explanation:

2*25.50=51

25% of 16=4

16-4=12

12*2=24

51+24=75

20% of 75=15

75-15 =

60

Solution:

Given:

Shadow of the bridge = 105ft

Shadow of you = 7 ft

(a) Draw this scenario out:

(b)

The bridge is 85ft tall

(c) Let the shadow of the nearby fence be x

The length of the shadow of the nearby fence = 9.88 ft (2 decimal places)

Answer:

4x³

Step-by-step explanation:

d/dx ln(x⁴ + 7) = 1/(x⁴ + 7) × _?

To obtain the missing expression, let us simplify d/dx ln(x⁴ + 7). This can be obtained as follow:

Let y = ln (x⁴ + 7)

Let u = (x⁴ + 7)

Therefore,

ln(x⁴ + 7) = ln u

Thus,

y = ln u

dy/du = 1/u

Next, we shall determine du/dx. This is illustrated below:

u = (x⁴ + 7)

du/dx = 4x³

Finally, we shall determine dy/dx of ln (x⁴ + 7) as follow:

dy/dx = dy/du × du/dx

dy/du = 1/u

du/dx = 4x³

dy/dx = 1/u × 4x³

But:

u = (x⁴ + 7)

Therefore,

dy/dx = 1/(x⁴ + 7) × 4x³

Thus, the missing expression is 4x³

The estimated raw material Inventory balance at the end of July is $27,750.

The estimated raw material inventory balance at the end of July, we need to follow the given information and calculations:

a. Each unit of finished goods requires 5 pounds of raw materials. Therefore, the total raw materials needed for production in August can be calculated as follows:

23,000 units (budgeted unit sales for September) × 5 pounds/unit = 115,000 pounds

b. The ending raw materials inventory equals 10% of the following month's raw materials production. Based on the information provided, the estimated raw materials needed to meet production in August is 111,000 pounds.

111,000 pounds × 0.10 (10%) = 11,100 pounds

This means that the ending raw materials inventory for July should be 11,100 pounds.

c. The cost of raw materials is $2.50 per pound. To find the value of the raw material inventory at the end of July, we multiply the pounds by the cost per pound:

11,100 pounds × $2.50/pound = $27,750

Therefore, the estimated raw material inventory balance at the end of July is $27,750.

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Answer: It's true because 3+3+6 = 12 and a triangle has 3 sides and 12/3 is 4 that's why a triangle can be fored with these measurments.

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

It would be classified as an isosceles triangle.

Hope this helps!

answer:

y=(x+7/2)^2-73/4

Answer:

Step-by-step explanation:

The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000,  3,983 rounded to the nearest thousand is 4,000,  13,560 rounded is 14,000.

7,000 + 4,000+ 14,000 = 25,000

The question that is a statistical question is "How many miles did your family drive last week?"

A statistical question is a question that requires collecting and analyzing data to answer.

It involves investigating a specific variable or variables and determining patterns, trends, or relationships within the data.

The question "How many miles did your family drive last week?" is statistical, as it involves collecting and analyzing data related to a specific variable (miles driven) over a certain period of time (last week).

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Answer:

B. 7/-8

Step-by-step explanation:

it doesn't matter which number the negative sign is on, the result stays the same either way.

Answer:

3 1/24

Step-by-step explanation:

Answer:

32.5%

Step-by-step explanation:

Answer:

32.5

Step-by-step explanation:

divided by 100 to get percentage

Answer:

As points, A and B move, the slope of the two lines change but remain equal to each other. As point C moves, the slope does not change but remains equal to each other since the line through C is drawn parallel to AB.

I can canclude that slope of any two parallel lines are equal

Step-by-step explanation: