For the following data set, what is the mode? Data set: A, B, A, B, C, D, E, G, E, A, B

Given:

The given values are 4, 8, 12, 13.

To find:

The mean for this list of numbers.

Solution:

We know that,

\(\text{Mean}=\dfrac{\text{sum of observations}}{\text{Number of observations}}\)

The number of observations = 4. So,

\(\text{Mean}=\dfrac{4+8+12+13}{4}\)

\(\text{Mean}=\dfrac{37}{4}\)

\(\text{Mean}=9.25\)

Therefore, the mean for the given list of numbers is 9.25.

In order to divide 2 by 1/6, proceed as follow:

Hence, the result of the given division is 12.

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given inequality expression

STEP 2: Simplify the inequality

For the second part

Combine the two results to have:

Given :

Initial velocity , u = 15 m/s .

Final velocity , v = 30 m/s .

Distance travelled , d = 40 m .

Also , this body is uniformly accelerating .

To Find :

(a) What is the acceleration .

(b) How long does this take .

Solution :

Let , acceleration be a .

By , equation of motion :

\(v^2-u^2=2ad\\\\a=\dfrac{v^2-u^2}{2d}\\\\a=\dfrac{30^2-15^2}{2\times 40}\\\\a=8.44\ m/s^2\)

Also , by equation :

\(v=u+at\\\\t=\dfrac{v-u}{a}\\\\t=\dfrac{30-15}{8.44}\ s\\\\t=1.78\ s\)

Hence , this is the required solution .

Answer:

\(\begin{aligned}SA &= 7.125\pi \text{ in}^2\\& \approx 22.4 \text{ in}^2 \end{aligned}\)

Step-by-step explanation:

We can find the Surface Area of the can by adding the areas of each of its parts:

\(SA = 2( A_{\text{base}}) + A_\text{side}\)

First, we can calculate the area of the circular base:

\(A_{\text{circle}} = \pi r^2\)

\(A_{\text{base}} = \pi (0.75 \text{ in})^2\)

\(A_{\text{base}} = 0.5625\pi \text{ in}^2\)

Next, we can calculate the area of the rectangular side:

\(A_\text{rect} = l \cdot w\)

\(A_\text{side} = (4\text{ in}) \cdot C_\text{base}\)

Since the width of the side is the circumference of the base, we need to calculate that first.

\(C_\text{circle} = 2 \pi r\)

\(C_\text{base} = 2 \pi (0.75 \text{ in})\)

\(C_\text{base} = 1.5 \pi \text{ in}\)

Now, we can plug that back into the equation for the area of the side:

\(A_\text{side} = (4\text{ in}) (1.5\pi \text{ in})\)

\(A_\text{side} = 6\pi \text{ in}^2\)

Finally, we can solve for the surface area of the can by adding the area of each of its parts.

\(SA = 2( A_{\text{base}}) + A_\text{side}\)

\(SA = 2(0.5625\pi \text{ in}^2) + 6\pi \text{ in}^2\)

\(\boxed{SA = 7.125\pi \text{ in}^2}\)

\(\boxed{SA \approx 22.4 \text{ in}^2}\)

Answer:

1728

Step-by-step explanation:

To solve this expression we must multiply 3x4:

3x4=12

Next raise 12 to the 3rd power:

12x12=144

144x12=1728

Hence, the correct answer is 1728

Answer:

1728

Step-by-step explanation:

Multiply 3x4:

3x4=12

Raise 12 to the 3rd power:

12x12=144

144x12=1728

So, the correct answer is 1728

The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;

Part A; Base length of the new deck = 7.2 feet

Height of the new deck = 2.8 feet

Part B; The area of the original deck is 63 square feet

The area of the new deck is 10.08 square feet

Part C; The ratio of the areas is the square of the scale factor

A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.

The base length of the triangular deck = 18 feet

The height of the triangular deck = 7 feet

The scale factor for the scaled version Sam intends to build = 2 : 5

Part A; The dimensions of the new deck are;

Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet

The height of the new deck = (2/5) × 7 = 2.8 feet

Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet

Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet

Part C; The ratio of the areas is; 10.08/63

Ratio of the area = 10.08/63 = 4/25 = 4 : 25

The scale factor is; 2 : 5

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The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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Answer:

Step-by-step explanation:

y = (1/2)x-3

f(-2) = (1/2)(-2)-3 => -1-3 => -4

f(-1) = (1/2)(-1)-3 => -1/2-3 => 3.5

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

f(1) = (1/2)(1)-3 => 1/2-3 => -2.5

f(2) = (1/2)(2)-3 => -1-3 => - 4

Answer:

45 + 3m = 75

Step-by-step explanation:

**You haven't provided the options for the solution in your question**

However, from the information provided, the equation representing the situation is:

45 + 3m = 75

To solve 45 + 3m = 75:

Subtract 45 from both sides:  3m = 30

Divide both sides by 3:  m = 10

Therefore he solved 10 math problems.

Answer:

7x^2 + 2x + 7

Hope this helps :)

Answer:

7x²+2x+7

Step-by-step explanation:

Hope this helps. Plz give brainliest.

Answer: SAMPLE RESPONSE FOR EDGE 2021. A drop in temperature means the temperature will decrease. That decrease is represented by a negative integer, which should be added to the previous temperature.

Step-by-step explanation: pls hit 5 star and thanks

We can Add 7 black beads to make ratio 3 : 1.

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (b meaning black)b : 3

Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

We need 9 black beads in total.

Check answer

9 : 3    

Both sides divisible by 3; reduce ratio

= 3 : 1        

Which is Correct ratio

Hence, There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore , we need to add 7 black beads.

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Answer:

The coordinates after a dilating the triangle by a factor of 1/2 would be (-1.5, 1.5), (-1.5, 1) and (0.5, -1), respectively.

Step-by-step explanation:

Since we are dilating from the origin of the graph, (0, 0), all we need to do is multiply each vertex by the given scale factor.

Answer:

Hey there!

In this expression, 5k and -6 are terms, not factors.

In this expression, 5 and k are factors, so the last option is correct.

Let me know if this helps :)

Answer:

5 and k are factors.

Step-by-step explanation:

A factor would be a value or variable which is multiplied by something else. It is 'a part' of the product.

In \(5k-6\), 5 and k are being multiplied by each other. This would mean that 5 and k are factors.

Option E should be the correct answer.

Answer:

1st one is b.  2nd one is A

Step-by-step explanation:

i did the quiz

Answer:

Step-by-step explanation:

slope for 3 is -0.6

1.525 is second 3=(1)0+3

3x-y+3

3x-y-8

Multiplying (3/10) (-3.2) (-100)​ by applying the commutative property of multiplication and/or associative property of multiplication, will give us:

\(\mathbf{(3/10)(-3.2) (-100) = 96}\)

Recall:

We can apply the Commutative Property or Associative Property to multiply (3/10) (-3.2) (-100)​.

Thus:

\((3/10) (-3.2) (-100) = 3/10 \times (-3.2 \times -100)\\\\(3/10) (-3.2) (-100) = 3/10 \times 320\\\\(3/10) (-3.2) (-100) = 3 \times 32\\\\(3/10) (-3.2) (-100) = 96\)

Therefore, Multiplying (3/10) (-3.2) (-100)​ by applying the commutative property of multiplication and/or associative property of multiplication, will give us:

\(\mathbf{(3/10)(-3.2) (-100) = 96}\)

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Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

Let's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:

Cost at Rentals Plus = $5.24 + $4.46 * m

Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:

Cost at Speedy Move = $85.24 + $0.46 * m

To find the number of miles that makes the costs equal, we can set up the equation:

$5.24 + $4.46 * m = $85.24 + $0.46 * m

By rearranging the equation, we can solve for 'm':

$4.46 * m - $0.46 * m = $85.24 - $5.24

$4 * m = $80

m = $80 / $4

m = 20

Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

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Answer:

Step-by-step explanation:

You have to use the quadratic formula

x = -b +/- \(\sqrt{(b^{2} -4ac)/2a\)

and then you can simplify both answers so the first one would be -13/2 and the second would be -27/2

you usually have to reject an answer but since there is no equal sign in the question, you should be fine

Answer:

lol the answer is the second one

Answer: The total sum of all monthly payments required to pay off this loan is $410,932.

To calculate this, we need to first find the amount of the loan that is not covered by the deposit. The deposit is 20% of $300,000, or $60,000, so the remaining amount of the loan is $300,000 - $60,000 = $240,000.

Next, we need to calculate the monthly payment on the loan. We can use the formula for a fixed-payment loan to do this:

Payment = (Loan amount x Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Number of months))

The monthly interest rate is the annual interest rate divided by 12, or 0.0394 / 12 = 0.003283.

The number of months is the number of years times 12, or 30 x 12 = 360.

Plugging these values into the formula gives:

Payment = ($247,249 x 0.003283) / (1 - (1 + 0.003283)^(-360)) = $1,151.80

Finally, we can find the total sum of all monthly payments by multiplying the monthly payment by the number of months:

Total payments = $1,151.80 x 360 = $410,932 (rounded to the nearest whole number).

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

To calculate Swornima's annual income and the amount of tax she should pay, let's break down the information provided:

Monthly basic salary: Rs 48,000

Social security tax rate: 1%

Income tax rate on income up to Rs 5,00,000: 0% (no tax)

Income tax rate on income from Rs 5,00,001 to Rs 7,00,000: 10%

Dashain allowance: 1 month's salary

Deposit in Citizen Investment Trust (CIT): 10%

Rebate on income tax: 10%

(i) Annual Income:

Swornima's monthly basic salary is Rs 48,000, so her annual basic salary would be:

Annual Basic Salary = Monthly Basic Salary x 12

= Rs 48,000 x 12

= Rs 5,76,000

Additionally, she receives 1 month's salary as the Dashain allowance, which we can add to her annual income:

Annual Income = Annual Basic Salary + Dashain Allowance

= Rs 5,76,000 + Rs 48,000

= Rs 6,24,000

Swornima's annual income is Rs 6,24,000.

(ii) Tax Rebate:

Swornima receives a 10% rebate on her income tax. To calculate the rebate, we need to determine her income tax first.

(iii) Annual Income Tax:

First, let's calculate the income tax for the range of income from Rs 5,00,001 to Rs 7,00,000. The tax rate for this range is 10%.

Taxable Income in this range = Rs 6,24,000 - Rs 5,00,000

= Rs 1,24,000

Income Tax in this range = Taxable Income x Tax Rate

= Rs 1,24,000 x 0.1

= Rs 12,400

Now, let's calculate the total annual income tax:

Total Annual Income Tax = Income Tax in the range Rs 5,00,001 to Rs 7,00,000

= Rs 12,400

Next, we calculate the rebate on income tax:

Tax Rebate = Total Annual Income Tax x Rebate Rate

= Rs 12,400 x 0.1

= Rs 1,240

Swornima's annual income tax is Rs 12,400, and she receives a tax rebate of Rs 1,240.

To summarize:

(i) Swornima's annual income is Rs 6,24,000.

(ii) Swornima's tax rebate is Rs 1,240.

(iii) Swornima should pay an annual income tax of R

Answer:

Add all cups of sugar, which would be 20 divided it by 5( the number of students in the class) 20/5=4

Answer:

4

Step-by-step explanation:

Number of students - 5 (count the number of cup of sugar

Total number of sugar cups - 3+4+5+3+5 - 20

Number of cups of sugar each student got - 5/20

= 4

Answer:

five almost 6 weeks

Step-by-step explanation:

brady is saving up to 245 but he already has 98 which means he needs to save 147 more dollars. Brady is making 25 a week so if you divide 147 by 25 you get 5.88 so in 6 weeks he can have a new skateboard with a couple extra doll hairs.

Answer:

C) P (X2 ≤ 8.2) = 0.96

Step-by-step explanation:

P value for the test is the probability of obtaining results that have been observed in the null hypothesis statement. A very small value of p indicates that there is unlikely chance of null hypothesis being true which means that we cannot accept null hypothesis based on the small p value.

Answer:

P(χ2≥8.2)=0.04

Step-by-step explanation:

Just took the test. This was correct