Brainlyist!!!! In which expression should the exponents be multiplied?

The values of p and ρˆ (p-hat) in the sample are

p = 0.48 and ρˆ (p-hat) = 0.44

From the question, we have the following parameters that can be used in our computation:

Proportion of male = 48%

Boys = 11

Girls = 14

The proportion of male represents the variable p

So, we have

p = Proportion of male = 48%

This gives

p = 48%

Express as decimal

p = 0.48

The variable ρˆ (p-hat) is then calculated as

ρˆ = x/n

In this case,

x = Boys = 11

n = Boys + Girls = 11 + 14 = 25

So, we have

ρˆ = 11/25

Evaluate

ρˆ = 0.44

Hence, the values are 0.48 and 0.44, respectively

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Answer:

The square root of 16=4, 4x2=8, x2=8.

Step-by-step explanation:

There are 4 cups of brown sugar are required for every 12 cups of white sugar.

A recipe calls for 2 cups of brown sugar for every 6 cups of white sugar. We can set up a proportion to find the relationship between the two quantities:

2 cups brown sugar / 6 cups white sugar = x cups brown sugar / 12 cups white sugar

To find the number of cups of brown sugar required for 12 cups of white sugar, we can cross-multiply and then solve for x:

2 cups brown sugar × 12 cups white sugar = 6 cups white sugar × x cups brown sugar

24 cups brown sugar = 6x cups brown sugar

x = 24/6

x = 4

So, 4 cups of brown sugar are required for every 12 cups of white sugar.

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The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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Answer:1. 6/9 2. 0.69 3. 6.7

Step-by-step explanation:i think this is correct

Answer:

It is: 6.7%, 6/9, 0.67.

Step-by-step explanation:

Convert all your numbers to decimals.

6.7% = 0.067

6/9 = 0.66... (repeating decimal)

0.67 = 0.67 (already a decimal)

Line the decimals up to make them fair to compare then order them from least - greatest.

Answer:

first one on top to the left

Step-by-step explanation:

Answer:

give it

Step-by-step explanation:

Answer:

Step-by-step explanation:

Steps to check for proportionality for scale drawing and original object or picture.

1. Find the common ratio between one side of the sketch and the sticker.

2. Make sure that it corresponds with another side.

3. Multiply everything by the scale factor.

Use a Scale Factor of 3 to create a scale drawing of the picture below.

You can do this one your self. You just have to eye it.

Exercise 3. The original dimension is 3 by 3. Multiply those dimensions by 1/18. The dimensions would be about 1/6 by 1/6.

Answer:

um i want points lol sorry hope you did the answer

Answer:

B

Step-by-step explanation:

hope i helped

A, percentages

You would see percentages on a circle graph, because it's how many parts of the whole that they take up.

Happy to help, have a great day! :)

Account Compounding Interest after 6 years

1 quarterly

A1 = -$1798.42

2 monthly $

A2 = -$1798.01

3 daily $

A3 =  -$1797.96

1) An account with quarterly compounding: After 6 years, the formula to calculate the interest is:

Interest = Principal \(\times\)(1 + (rate / \(n))^{(n * t)}\) - Principal

Substituting the given values:

Principal = $2200

Rate = 3% = 0.03

n = 4 (quarterly compounding)

t = 6 years

Interest = $2200 \(\times\) (1 + (0.03 / \(4))^{(4 \times 6)}\) - $2200

Interest = $2200 \(\times\)\((1.0075)^{(24)}\) - $2200

Interest ≈ $401.58 - $2200

Interest ≈ -$1798.42 (rounded to two decimal places).

2) An account with monthly compounding: After 6 years, the formula remains the same, but the compounding frequency changes:

   Principal = $2200

   Rate = 3% = 0.03

   n = 12 (monthly compounding)

   t = 6 years

Interest = $2200 \(\times\)(1 + (0.03 / \(12))^{(12 \times 6)}\) - $2200

Interest = $2200 \(\times\)\((1.0025)^{(72)}\) - $2200

Interest ≈ $401.99 - $2200

Interest ≈ -$1798.01 (rounded to two decimal places)

3) An account with daily compounding: Using the same formula with the compounding frequency:

   Principal = $2200

   Rate = 3% = 0.03

   n = 365 (daily compounding)

   t = 6 years

Interest = $2200 \(\times\)(1 + (0.03 / \(365))^{(365 \times 6)}\) - $2200

Interest = $2200 \(\times\)\((1.000082)^{(2190)}\) - $2200

Interest ≈ $402.04 - $2200

Interest ≈ -$1797.96 (rounded to two decimal places)

In all three cases, the interest earned is negative, indicating that the accounts would have lost money rather than gained interest.

This suggests that there might be an error in the calculations or the provided interest rates. It's important to verify the given information to ensure accurate calculations and resolve any discrepancies.

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According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Answer:

Interval notation: (-11, 9)

Step-by-step explanation:

In the given bounded inequality interval, -11 < x < 9

When a number acts as the boundary point for an interval, (also called an endpoint), we use a set of parenthesis "(  )" for boundary points that are not included. Also, the less than "<" symbol implies that the endpoints are excluded.

Therefore, we can express the given inequality statement in interval notation as: (-11, 9).

On the number line, there should be open (or empty) circles on the endpoints -11 and 9.

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Answer:

The smaller number in 0.01

Step-by-step explanation:

To find this answer, just take the fraction and find the quotient of both numbers.

1.789/178 = 0.01005056179

Now take the quotient and compare it to 0.05.

Is 0.01 larger or 0.05 - the answer is 0.01.

Answer:

51 cm²

Step-by-step explanation:

Let's ASSUME that the vertical measurements are taken perpendicular to the roughly horizontal baselines.

The three yellow triangles are all similar

the upper small triangle has height 3 and base 6 cm. The ratio of the lengths is 6/3 = 2

This means the medium (overlapping) triangle has lengths 10 - 3 = 7 and 7(2) = 14 cm

Area of the large triangle is ½(14 + 6)(10) = 100 cm²

Area of the overlapping yellow triangle is ½(7)(14) = 49 cm²

Exposed area of the blue triangle is 100 - 49 = 51 cm²

Both triangles have an area of 100 square centimeters and the area of the blue triangle showing is 51 square centimeters.

Based on the information given from statement, we can determine the missing length of the yellow triangle by means of simmilarity ratios, that is:

\(\frac{3\,cm}{6\,cm} = \frac{10\,cm}{x}\) (1)

Where \(x\) is the base of the yellow triangle, in centimeters.

Now we proceed to find the length base:

\(x = \frac{6\,cm}{3\,cm}\times 10\,cm\)

\(x = 20\,cm\)

The area of the triangle can be found by means of the following expression:

\(A = \frac{1}{2}\cdot b\cdot h\) (2)

Where:

If we know that \(b = 20\,cm\) and \(h = 10\,cm\), then the area of the triangle is:

\(A = \frac{1}{2}\cdot (20\,cm)\cdot (10\,cm)\)

\(A = 100\,cm^{2}\)

The area of the yellow triangle is 100 square centimeters and the area of the blue triangle is also 100 square centimeters due to congruency. The dimensions of the section of the yellow triangle overlapping the blue triangle are \(b = 14\,cm\) and \(h = 7\,cm\). The area of this section is:

\(A' = \frac{1}{2}\cdot (14\,cm)\cdot (7\,cm)\)

\(A' = 49\,cm^{2}\)

And the area of the rest of the blue triangle is:

\(A'' = A - A'\) (2)

\(A'' = 100\,cm^{2}-49\,cm^{2}\)

\(A'' = 51\,cm^{2}\)

In a nutshell, both triangles have an area of 100 square centimeters and the area of the blue triangle showing is 51 square centimeters.

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Sally's average annual percentage gain is approximately 5.26%.

To calculate Sally's average annual percentage gain, we can use the formula:

Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100

Profit = $2500

Initial Investment = $19000

Time = 2.5 years

Substituting the values into the formula:

Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100

= (0.1316) * (0.4) * 100

= 5.26

Therefore, Sally's average annual percentage gain is approximately 5.26%.

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Answer: Assuming a frictionless, massless pulley, the acceleration of the blocks once they are released from rest can be determined using the equation for acceleration:

a = F/m

where a is the acceleration, F is the force acting on the object, and m is the mass of the object.

In this case, the force acting on the blocks is the force of gravity, which is equal to the weight of the blocks. The weight of an object is equal to the mass of the object multiplied by the acceleration due to gravity, which is 9.8 m/s^2 on Earth. Therefore, the force acting on the blocks is equal to the mass of the blocks multiplied by 9.8 m/s^2.

The acceleration of the blocks will be equal to the force acting on them divided by the mass of the blocks. This means that the acceleration of the blocks will be equal to their weight divided by their mass.

Therefore, to determine the acceleration of the blocks once they are released from rest, you will need to know their mass and their weight. Once you have this information, you can use the equation a = F/m to calculate their acceleration.

The quantity of water left in the barrel is 5.175 gallons. The correct option is the second option 5.175 gallons

From the question, we are to determine how much water is left in the barrel

From the given information,

"The barrel is filled with 18 gallons of water"

and

"Ryan used 9.7 gallons to water his garden in June"

After this time,

The quantity of water that would be left in the barrel will be 18 gallons - 9.7 gallons

= 8.3 gallons

Then,

3 and one eighth gallons in July

3 and one eighth = 3 1/8 = 3.125 gallons

The quantity of water that would be left is 8.3 gallons - 3.125 gallons

= 5.175 gallons

Hence, the quantity of water left in the barrel is 5.175 gallons. The correct option is the second option 5.175 gallons

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Answer:

b

Step-by-step explanation:

The number of pounds of cashews should be mixed with the peanuts to ensure no change in the​ revenue is; 360 pounds

Let the number of pounds of cashews be x.

Now, we are told that A nut store normally sells cashews for​ $4.00 per pound. Thus;

Cost of x pounds of cashews = $4x

He wants to mix the above with 90 pounds of peanuts and sell the mixture for $3.5 per pound. Thus, the equation here is;

((90 * 1.5) + (4x))/(x + 90) = 3.5

135 + 4x = 3.5(x + 90)

135 + 4x = 3.5x + 315

4x - 3.5x = 315 - 135

0.5x = 180

x = 180/0.5

x = 360 pounds of peanuts

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Answer:

99.5

Step-by-step explanation:

Radius = Diameter/2

199/9

=99.5metres

Answer:

Step-by-step explanation:

[2,∞)

Answer:

it's 2

Step-by-step explanation:

t < 20.

\(8 > 3 + \frac{t}{4}\)

\(8-3 > 3 + t/4-3\\ \\5 > \frac{t}{4}\)

\(5*4 > \frac{t}{4}*4\\ \\20 > t\\ \\t < 20\)

\(8 > 3 + (20)/4\\ \\8 > 3 + 5\\ \\8 > 8\)

That's correct! Hence, t < 20 is the correct answer.

Answer:

I believe they are vertical angles

Step-by-step explanation:

Vertical angles are angles that are across from each other. They are also equal to each other.

Answer:

11

Step-by-step explanation:

2^3-(30/5)+9

First, you divide 30/5 because it is in parentheses and we are following this rule for order of operations:

P- parentheses

E- exponents

M- multiplication

D- division

A- addition

S- subtraction

so 30/5 = 6 and plugged in is:

2^3-(6)+9

Next, we do exponents:

2^3 = 2x2x2 = 8

plugged back in:

8-(6)+9

Now, we do the math from left to right so:

8-6=2

2+9=11

11 is your answer

The probability that that arrow will land on the part labelled C after the first spin would be = 1/5.

To calculate the probability of the chosen event, the formula for probability should be used which is given as follows:

Probability = possible outcome/ sample space

Where possible outcome = 2

sample space = A,B,B,B,C,C,D,D,D,E = 10

Therefore the probability that the arrow will land on the part labelled C after the first spin = 2/10 = 1/5.

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Answer:

Step-by-step explanation:

(x + 4)^2 - 2 = 7 simplifies to

(x + 4)^2 = 5

We must isolate x.  To do this, take the square root of both sides, obtaining:

x + 4 = ±√5

There are two roots/solutions.  They are:

x = -4 + √5 and x = -4 - √5            

You must include the square root operator (√).  Use "  ^  " to denote exponentiation.

The solutions to the given equation (x + 4)² - 2 = 7 when calculated are; 1 and 7

We are given the equation as;

(x + 4)² - 2 = 7

Add 2 to both sides to get;

(x + 4)² = 9

Find the square root of both sides to get;

x + 4 = ±3

Thus;

x = 3 + 4 and x = -3 + 4

x = 1 and 7

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There are no possible real values for the first term 'a' that satisfy both equations.

Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.

The sum of the first two terms can be expressed as:

a + ar = 16

To find the sum to infinity, we can use the formula:

Sum to infinity = a / (1 - r)

Given that the sum to infinity is 25, we have:

25 = a / (1 - r)

We now have two equations:

a + ar = 16

a / (1 - r) = 25

We can solve these equations simultaneously to find the possible values of 'a'.

From the first equation, we can factor out 'a' to get:

a(1 + r) = 16

Dividing both sides of the second equation by 25, we have:

a / (1 - r) = 1

We can rearrange this equation to get:

a = 1 - r

Substituting this expression for 'a' in the first equation, we get:

(1 - r)(1 + r) = 16

Expanding the equation, we have:

1 - r^2 = 16

Rearranging the terms, we get:

r^2 = -15

Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.

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