O model the problem containing an unknown number, translate the statement into an equation. Sixteen is five less than a number. Which steps would you take to translate the statement? Replace "is" with =, "less than" with –, and "a number" with n to get 16 = 5 – n. Replace "is" with =, "less than" with +, and "a number" with n to get 16 = n + 5. Replace "is" with =, "less than" with –, and "a number" with n to get 16 = n – 5. Replace "is" with =, "less than" with ÷, and "a number" with n to get 16 = 5 ÷ n.

The percentage profit on the cost of the skirt is 11.1%

Here, the cost of gloves is £4

And the profit on gloves is 100% which will be equal to 4

The selling price of gloves will be = 8

As given in the question,

The total selling price of both items is £48

So, the selling price of a skirt will be = 48-8

= 40

Now, let the Total Cost of both items be x

Then, x*120÷5= 48

On solving the equation we get the x= 40

So, the cost price of the skirt will be = 40 - 4 = 36

Profit percentage of the skirt =( Selling price - cost price÷ cost price)*100

= (40-36÷ 36)*100

=(4÷ 36)*100

= 11.1℅

Hence, the profit percentage on the skirt will be 11.1℅

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Answer:

Option (3)

Step-by-step explanation:

Given: EF = 10x + 20

           FG = 43

           EG = 183

From the figure attached,

Length of segment EF + length of segment FG = length of segment EG

By substituting the values of each segment in the equation,

(10x + 20) + 43 = 183

10x + 20 = 183 - 43

10x = 140 - 20

x = \(\frac{120}{10}\)

x = 12

Therefore, x = 12 will be the answer.

Option (3) will be the correct option.

Answer:i think its 1.75

Step-by-step explanation

Answer: 1.5

Step-by-step explanation:

Answer: Natasha is 17 and Ravi is 25

Step-by-step explanation:

Let n = Natasha’s age and r = Ravi’s age

We can write an equation then substitute: 42=n+r

We know that Ravi is 8 years older than Natasha, so Ravi’s age is equal to n+8. We can substitute that in, so 42= n+(n+8)

Simplify:

42=n+(n+8)

42= 2n+8

42-8=2n+8-8 (subtract 8 from both sides to isolate n)

34=2n

34/2=2n/2 (divide both sides by two)

17=n

Natasha is 17, and Ravi is 8 years older. 17+8= 25, Ravi is 25. You can double check by adding 25 and 17 together, which brings you back to 42 :]

Answer:

In mathematics, a cube root of a number x is a number y such that y³ = x. All nonzero real numbers, have exactly one real cube root and a pair of complex conjugate cube roots, and all nonzero complex numbers have three distinct complex cube roots. In mathematics, an nth root of a number x is a number r which, when raised to the power n, yields x: {\displaystyle r^{n}=x, } where n is a positive integer, sometimes called the degree of the root. A root of degree 2 is called a square root and a root of degree 3, a cube root.

Answer:

ab ed

cu  can be

Step-by-step explanation:

did you got it or no

Answer:

The best estimate for her earnings is $1200

Step-by-step explanation:

Number of time spent babysitting each week = 21 hours = BBS

Number of time spent dog walking each week = 9 hours = DW

She earns $7.50 per hour for dog walking,

She earns $(7.50+1.50) = $9 for baby sitting,

There are 4 1/2 weeks = 9/2 weeks in July,

Now, for each week she earns 21(9) = $189 from baby sitting

and 9(7.5) = $67.5 from dog walking,

So, for the month of July, i.e. 9/2 weeks, she earns,

9/2(189) = $ 850.5 from baby sitting,

and (9/2)(67.5) = $303.75 from dog walking,

In total for the month, she earns,

850.5 + 303.75 = $1154.25

Hence the best estimate for her earnings is $1200

The possible values of random variable representing number of children are 1,2,3,4, 5, 6 ...

Probability of for each random variable is given by

P(1) = 0.5, P(2) = P(3) = 0.5 × 0.5 and P(4) = P(5) = P(6) = 0.5 × 0.5 × 0.5 and so on.

Probability of boys and girls is equal to,

P(B) = P(G) = 0.5

The possible values of the random variable are 1, 2, 3, 4, 5, 6, ...

To calculate the probabilities of each possible value,

Consider the different scenarios that can occur. Let's analyze the possibilities,

The first child can be either a boy (B) or a girl (G) with equal probabilities.

P(1B) = P(1G) = 0.5

If the first child is a boy (B),

Then the second child can be either a boy (BB) or a girl (BG) with equal probabilities.

P(2BB) = P(2BG) = 0.5

If the first two children are boys (BB), then the third child must also be a boy (BBB).

P(3BBB) = 1

If the first child is a girl (G), then the second child can be either a boy (GB) or a girl (GG) with equal probabilities.

P(2GB) = P(2GG) = 0.5

If the first two children are girls (GG), then the third child must also be a girl (GGG).

P(3GGG) = 1

If the first child is a boy (B), the second child is a girl (BG), and the third child is a boy (B), the family will stop having children.

P(3B) = 1

If the first child is a girl (G), the second child is a boy (GB), and the third child is a girl (GG), the family will stop having children.

P(3G) = 1

Representing the pmf of the random variable in tabular form,

Number of Children (X)   Probability (P(X))

1                                          0.5

2                                          0.5 × 0.5

3                                          0.5 × 0.5

4                                          0.5 × 0.5 × 0.5

5                                          0.5 × 0.5 × 0.5

6                                          0.5 × 0.5 × 0.5

and so on.

The pattern continues, with the probability halving for each additional child.

Therefore, possible values of random variable are 1,2,3,4, 5, 6 ...

Probability of for each possible values is equal to

P(1) = 0.5, P(2) = P(3) = 0.5 × 0.5 and P(4) = P(5) = P(6) = 0.5 × 0.5 × 0.5 and so on.

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The above question is incomplete, the complete question is:

A family decides to have children until it has three children of the same gender. Assuming P(B) = P(G) = 0.5, what is the pmf of =the number of children in the family?

a) List the possible values of random variable

b) Calculate now the probabilities of each possible value of random variable

c) Represent the pmf of random variable in tabular form.

Answer:

I believe x=18.

The type of sample in which each member of the entire population being studied has the same chance of being selected is called a random sample or a simple random sample.

A random sample, also known as a simple random sample, is a sampling method in which every member of the entire population has an equal chance of being selected to be part of the sample. This means that each individual in the population has an equal probability of being chosen, and the selection process is based purely on chance.

To conduct a random sample, researchers typically assign a unique identification number or label to each member of the population. They then use a randomization method, such as a random number generator or a random selection process, to choose the desired number of individuals for the sample.

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The probability shows sample mean differ from the true mean by less than 5.91 liters is equal to 0.9864.

Standard deviation = 24 liters

sample size = 100

The standard error of the mean is,

Standard error = σ / √(n)

where σ is the population standard deviation, n is the sample size.

Substituting the given values, we get,

Standard error

= 24 / √(100)

= 2.4

Probability that the sample mean would differ from the true mean by less than 5.91 liters,  standardize the difference using the standard error,

z = (X - μ) / (SE)

where X is the sample mean,

μ is the true population mean,

and SE is the standard error of the mean.

Substituting the given values, we get,

z = (5.91) / 2.4

  = 2.4625

Probability corresponding to this z-score,

Use a standard normal distribution attached table

The probability of the sample mean differing from the true mean by less than 5.91 liters is the probability of getting a z-score between -2.4625 and 2.4625.

This can be found by taking the difference between the cumulative probabilities corresponding to these two z-scores.

Using a standard normal distribution attached table ,

Probability of getting a z-score less than -2.4625 is 0.0068,

Probability of getting a z-score less than 2.4625 is 0.9932.

Probability of getting a z-score between -2.4625 and 2.4625 is  

0.9932 - 0.0068 = 0.9864 (Rounding to four decimal places)

Therefore, the probability that the sample mean would differ from the true mean by less than 5.91 liters is 0.9864.

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Each box will contain 1 chocolate donut, 1 strawberry donut, and 1 caramel donut, there will be a Total of 4 boxes, and each box will contain 1 chocolate donut, 1 strawberry donut, and 1 caramel donut.

The number of boxes and the distribution of donuts in each box, we need to find the greatest common divisor (GCD) of the total number of chocolate, strawberry, and caramel donuts available. The GCD will represent the maximum number of donuts that can be included in each box.

First, let's find the GCD of 36, 27, and 18. By calculating the GCD, we can determine the maximum number of donuts that can be included in each box.

GCD(36, 27, 18) = 9

Therefore, the maximum number of donuts that can be included in each box is 9.

Next, we need to determine the number of boxes. To do this, we divide the total number of each donut type by the maximum number of donuts per box.

Number of boxes for chocolate donuts = 36 / 9 = 4 boxes

Number of boxes for strawberry donuts = 27 / 9 = 3 boxes

Number of boxes for caramel donuts = 18 / 9 = 2 boxes

Since each box contains the same total number of donuts, we can conclude that there will be 4 boxes with chocolate donuts, 3 boxes with strawberry donuts, and 2 boxes with caramel donuts.

To find the distribution of donuts in each box, we divide the maximum number of donuts per box by the GCD:

Distribution in each box: 9 = 1 × 9

Therefore, each box will contain 1 chocolate donut, 1 strawberry donut, and 1 caramel donut, there will be a total of 4 boxes, and each box will contain 1 chocolate donut, 1 strawberry donut, and 1 caramel donut.

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Jill earned $207 last week for picking 370 containers.

According to the information given, Jill picks corn and is paid at a piecework rate.

She receives 55 cents per container for the first 300 containers picked, and then she receives 60 cents per container for every container picked beyond 300.

Last week, Jill picked 370 containers. To calculate how much she earned, we can break it down into two parts:

the first 300 containers and the remaining 70 containers.

For the first 300 containers, Jill earns 55 cents per container. So, the amount she earned for the first 300 containers is:

300 containers x $0.55/container = $165

For the remaining 70 containers, Jill earns 60 cents per container. So, the amount she earned for the remaining 70 containers is:

70 containers x $0.60/container = $42

To find out the total amount Jill earned, we add the amounts she earned for the first 300 containers and the remaining 70 containers:

$165 + $42 = $207

Therefore, Jill earned $207 last week for picking 370 containers.

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The  probability of event A is P(A) = 1/4 or 0.25.

The formula to find P(A) for a series of simple events is:

P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)

For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:

- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.

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Price paid for car = $23622, The loss value is $3742 and total distance the car was used for is 18000 kilometres.

Distance is a measurement of how far apart two objects or points are. It is the length of the actual route taken to get from one place to another. In physics, distance is frequently used to refer to a physical length or an estimation based on other criteria, such as "a few kilometres apart" or "some miles away."

However, the distance travelled by an object to move from its initial position to its final position will be the same as the distance travelled to move from its final position to its initial position. As a result, distance is independent of a body's motion.

a. Price paid for car = $23622

Discount = 7%

Sale price = $19880

b. The loss value is $3742

c. Let total distance travelled be d

Fuel consumption=10km per litre

Cost of fuel =1.4 per litre

Cost of fuel per kilometre =1.410= 0.14

Other cost = 938

Cost of usage =0.14*d +938

Total cost including loss = 0.14*d +938+3742

The cost per kilometre has been provided as 0.4

Total cost of the vehicle's use = 0.4*d

B=A0.4*d = 0.14*d +938+37420.26*d = 4680d = 18000

Thus, Total distance the car was used for is 18000 kilometres.

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The probability that the random variable will assume a value between 45 and 55 is given by: 0.6827

A random variable is normally distributed.

Mean μ = 50

Standard deviation σ = 5

According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

The more precise statement for 68 percent is:

\(P(\mu-\sigma < X < \mu+\sigma) = 68.27%\)

Since the interval of interest given in question is (45,55), it can be rewritten as  (50-5, 50 + 5)

Thus we have:

P(50 - 5 < X < 50+5) = 68.27%

P(45 < X < 55) = 0.6827.

Thus, 0.6827 is the probability that the random variable will assume a value between 45 and 55.

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Molly earns $2 for every cup of coffee sold.

If Molly sells 1 cup of coffee, she earns $2.

If she sells 2 cups of coffee, she earns 2*$2 = $4

If she sells 10 cups of coffee, she earns 10*$2 = $20

Now let's say she sells x cups of coffee.

Following the same rule, the earns $2*x

Putting this as an expression:

E = 2x

Where E is the earnings, and x are the number of cups of coffee Molly sells

Answer:

3x + 4y = 12

when x is 0

3×0 + 4y = 12

4y = 12

y = 12/4 = 3

y= 3

Answer:

the equation: y=2/17x+3

the slope: 2/17

Step-by-step explanation:

Using the internet is an approach to let customers solve each other's problems.

The internet has provided numerous opportunities for individuals to interact with each other and share information, and customer service is no exception. Online customer service has become an essential aspect of businesses, with the internet providing a platform for companies to interact with customers online through a variety of channels such as social media, email, and chatbots.

This approach not only improves the customer experience but also reduces the workload of customer service professionals. In addition, it is a cost-effective solution for companies that want to provide excellent customer service without increasing the number of customer service specialists. Overall, using the internet as a means of enabling customers to solve each other's problems is an excellent approach for businesses that want to improve their customer service and provide a more seamless customer experience.

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The values of x, y and z are 4, 2 and 0 respectively.

A system of equation is not possible to solve when the no. of variables are more than the no. of unknowns.

According to the given question we have to solve for x, y and z which is possible because we have same numbers of variables and equations which is 3.

4x + 4y + z = 24...(i)

2x - 4y + z = 0...(ii)

5x - 4y - 5z = 12...(iii)

Adding (i) and (ii) we get

4x + 4y + z = 24

2x - 4y + z = 0

————————

6x + 2z = 24...(iv)

Now Adding (i) and (iii)

4x + 4y + z = 24

5x - 4y - 5z = 12

————————-

9x - 3z = 36 (5)

Add (iv) and (v)

3(6x + 2z = 24)

2(9x - 3z = 36)

————————

18x + 6z = 72

18x - 6z = 72

———————-

36x = 144

x = 144/36

x = 4

Putting the value of x in eqn. (iv)

6(4) + 2z = 24

24 + 2z = 24

2z = 0

z = 0

Putting the values of x and z value in (ii)

2(4) - 4y + 0 = 0

8 - 4y + 0 = 0

-4y = -8

y = -8/-4

y = 2

∴ x = 4, y = 2 and z = 0.

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Answer:

(A) ✔ 0.45

(B) ✔ 0.06

(C) ✔ 0.39

(D) ✔ 7.77

Step-by-step explanation:

Got it right, hope this helps!

Answer:

y = 1/2x + 1.5

Step-by-step explanation:

first find the slope and then put it in y= x+b

you can see that to get from (-1,1) to (1,2) you must go up one and over two

slope is = rise over run --> rise 1 and run 2

the b is were it hit threw the y intercept

According to the given information the weight of one load of bricks is 128.5 kg.

a load of bricks is twice as heavy as a load of sticks.

So, the weight of a load of bricks would be 2x kilograms.

Let the weight of one load of sticks be x kg

Then, weight of one load of bricks = 2x kg

Total weight of 4 loads of bricks = 4 × 2x = 8x kg

Total weight of 4 loads of sticks = 4x kg

According to the question:8x + 4x = 771kg

12x = 771 kgx = 771/12 kg

= 64.25 kg

Weight of one load of sticks = x = 64.25 kg

Therefore, weight of one load of bricks = 2x = 2 × 64.25 kg = 128.5 kg

Hence, the weight of one load of bricks is 128.5 kg.

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False, An algorithm is a step-by-step procedure or set of instructions for solving a problem or performing a specific task.

It is not limited to calculating the time it takes to solve a problem, but rather it provides a systematic approach to reach the desired solution. Algorithms can be designed to solve a wide range of problems, from simple mathematical calculations to complex computer programming tasks.

Their efficiency can be measured in terms of time and space complexity, which helps in determining the performance of the algorithm. However, the primary purpose of an logarithmic  is to provide a clear and effective method for solving problems, not merely calculating the time it takes to solve them.

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The triangle has lengths of 59 feet, 66 feet, and 79 feet.

Let us represent the length of the shortest side of the triangle with x feet, and that of the other shorter side with y feet

The longest side will be (2x - 39) feet

The length of the other shorter side will give us the equation;

y + x = 2x - 39 + 46

so that by subtracting x from both sides, we have

y = 2x - x + 46 - 39

y = (x + 7) feet

From the question,

x + x + 7 + 2x - 39 = 204 feet {which is the perimeter of the triangle}

4x - 32 = 204 {collect like terms}

4x = 203 + 32

4x = 236

x = 236/4

x = 59 feet

Therefore, as the length of the shortest side of the triangle is 48 feet,

the other shorter side is;

y = 59 + 7

y = 66 feet

and the longest side is;

2(59) - 39

118 - 39

79 feet.

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