The sum of the present ages of a son and his father is 60 years. Six years ago, father's

age was five times the age of the son. After 6 years, what will be son's age?​

Using the uniform distribution, there is a 0.6667 = 66.67% probability that it takes a randomly selected customer more than 30 seconds to connect to the internet.

It is a distribution with two bounds, given by a and b, in which each possible outcome is equally as likely.

The probability of finding a value above x is:

\(P(X > x) = \frac{b - x}{b - a}\)

For this problem, the connection time has parameters a = 20 sec and b = 50 sec, as stated in the problem.

The probability that it takes a randomly selected customer more than 30 seconds to connect to is P(X > 30).

Hence, applying the formula, with the bounds, we have that:

P(X > 30) = (50 - 30)/(50 - 20) = 2/3 = 0.6667.

The measure above is the desired probability.

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when retail cost of the computer is 37% of the wholesale price then Retail price is 1.37times wholesale price

Retailers who acquire products in bulk are subject to wholesale pricing.

Selling products at a greater price than what it costs to produce them allows businesses to turn a profit.

Retail pricing is what merchants decide to charge customers as their ultimate selling price.

Consumers are the primary focus of retail pricing.

According to the question,

The retail cost of a computer is 37% more than its wholesale cost

Let Retail cost be "x" and wholesale cost be "y"

So , x = y + 0.37y

=> x = 1.37y

Therefore , The retail price is 1.37times the wholesale price

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Answer:

he Pressure-Volume Law. Boyle's law or the pressure-volume law states that the volume of a given amount of gas held at constant temperature varies inversely with the applied pressure when the temperature and mass are constant.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

We know that function h represents an object's height in feet after x seconds.

In that case, option A) h(15) = 100 means that after 15 seconds, the object's height is 100 feet.

Option B) h(100) = 15 means that after 100 seconds, the object's height is 15 meters.

Therefore, neither A nor B are correct.

Option C) h(15) - h(0) = 100 means that between the zeroth and 15th second, their difference is 100 feet.

In other words, the object's height increased by 100 feet over the first 15-second period.

Option C is correct.

For Option D), it gives us the average rate of change. (h(15) - h(0)) / (15) = 100 means that for the first fifteen seconds, the height of the object increased at an average rate of 100 feet per second.

Answer:

c.

28.3

Step-by-step explanation:

If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

so

(x+34)*x=42^2

x^2+34x=1764

x^2+34x-1764=0

D=b^2-4ac

D=34^2-4*1*(-1764)

D=1156+7056

D= 8212

x=(-b+√D)/2a=(-34+90.6)/2=56.6/2=28.3

Answer:

I Think it is C. RS = 28.3

Step-by-step explanation:

Because look at R and Q its 42 its more than half as long but its not as long so the answer would be a little more than half.

So the answer is C. RS = 28.3

It’s true for all right triangles.

Indeed, at x = 2, the function f(x) = 4x + 7 is continuous.

Real valued functions are defined as having as their range either R or one of its subsets. It is also referred to as a real function if its domain is R or a subset of R.

If the following criteria are met, a function at x = an is said to be continuous:

The function is established at x = a.

As x gets closer to a, the function has a limit.

The limit is the value of the function at the point where x = a.

In this instance, we must determine whether the function f(x) satisfies the aforementioned requirements at x = 2.

Including x = 2, the function f(x) is defined for all real values of x.

By evaluating the function as x randomly approaches 2 from both sides, the limit of the function as x approaches 2 can be discovered. This is,

The formula for lim (x 2+) f(x) is lim (x 2+) (4x + 7) = 15.

f(x) = lim (x 2 ) (4x + 7) = lim (x 2 ) = 15

We may infer that the function's limit as x approaches 2 exists and that it is equal to 15 because the right-hand limit and the left-hand limit are both equal to 15.

Finally, we must determine whether f(2) equals the limit we just discovered. The equation in this instance is f(2) = 4(2) + 7 = 15.

We can infer that the function f(x) is continuous at x = 2 since f(2) is identical to the limit of the function as x approaches 2.

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ANSWER and EXPLANATION

We are given the division:

6499 ÷ 7

a. That is, how many 7s can we find in 6499 and what would be the remainder after finding all the possible 7s.

The division is therefore:

6499 ÷ 7 = 928 R 3

b. Jim said there is a remainder of 7.

This is not possible, because the divisor is 7.

So, if the remainder is 7, then we would have:

7 ÷ 7 = 1

So, the mistake Jim made is assuming that 7 can be a remainder of the division.

The 95 percent confidence interval is (0.20, 0.32).

a. We can construct a 95% confidence interval to estimate the percentage of yellow peas as follows:

Let p = proportion of yellow peas = 155/595 = 0.26

Sample size = n = 595

Standard error = SE = √(p × (1-p) / n) = √(0.26 × (1-0.26) / 595) = 0.03

95% confidence interval = p ± 1.96 × SE

= 0.26 ± 1.96 × 0.03

= 0.26 ± 0.06

So, the 95% confidence interval is (0.20, 0.32).

b. Yes, the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow, as the 95% confidence interval does not include the expected value of 0.25.

Therefore, the 95 percent confidence interval is (0.20, 0.32).

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Expression for given numerical is: 9+ (2/x)

Given that we have an word equation that is 9 more than the quotient of 2 and  x

A quotient is a quantity produced by the division of two numbers.

Quotient of 2 and x is \(\frac{2}{x}\).

Nine(9) more  than 2/x is = 9+ (2/x)

So we have an expression that is:

              9+ (2/x)                          

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The calculated value of the probability of B is (c) 0.25

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

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

Substitute the known values in the above equation, so, we have the following representation

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

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Answer:

C. 7°F

Step-by-step explanation:

Answer:

If g(x) = f(x) + k, what is the k value?

The answer The value of k is 6

I'm very bad in geometry. Sorry mom I failed geometry .

The solution for the given expression is 16.

There are different power rules, see some them:

1. Multiplication with the same base: you should repeat the base and  add the exponents.

2. Division with the same base: you should repeat the base and  subctract the exponents.

3.Power. For this rule, you should repeat the base and multiply the exponents.

4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.

First, you apply the Power Rules - Power for  \((\frac{2^2x^2y}{xy^3} )^2}\). For this rule, you should repeat the base and multiply the exponents. Thus, the result will be:\(\frac{16x^4y^2}{x^2y^6}\).

After that, you should apply the  Power Rules - Division . For this rule, you should repeat the base and  subctract the exponents. Thus, the result will be:\(\frac{16x^2}{y^4}\).

Now, you should replace the variable x by 4 and the variable y by 2. Thus, the result will be:\(\frac{16*4^2}{2^4}=\frac{16*16}{16} =16*1=16\)

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Answer:

48°

Step-by-step explanation:

All the angles in a triangle sum up to 180°.

Therefore,

x°+74°+58°=180°

→x°+132=180°

x°=180-132=48°

The computer can occupy a maximum of 1200 bytes of memory.

To determine the maximum memory capacity of a computer that can execute 300 instructions, we need to consider the representation of integers and the storage requirements for instructions.

If each instruction is stored in the entire memory word, it implies that each instruction occupies one memory word. Therefore, the number of instructions executed (300) directly corresponds to the number of memory words required.

The memory capacity of a computer is typically measured in bytes. However, since we are assuming each instruction occupies one memory word, we can consider the memory capacity in terms of memory words.

Hence, the maximum memory capacity this computer can occupy would be 300 memory words.

To convert this capacity into bytes, we need to know the size of a memory word. If we assume the computer uses a 32-bit word size, which is common in many systems, each memory word would consist of 4 bytes (32 bits / 8 bits per byte). Therefore, the maximum memory capacity in bytes would be:

300 memory words * 4 bytes per word = 1200 bytes.

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Solution:

Given:

The situation that best describes the expression is;

This is because going below sea level shows the negative (-27 4/5), and going up indicates the positive (+50)

Therefore, OPTION A is correct.

To find out if the fraction terminates or repeats, we have to solve the long division and see what happens with the residue:

notice that each time we divide we will get 2 as the residue, therefore, the fraction 5/6 repeats.

Next, for 3/12 we have the following:

in this case, we have that the residue is 0, then, the fraction 3/12 terminates.

Doing the same as the previous cases, we have the following for the last fractions:

then, the fractions 8/18 and 1/11 repeat

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

First, let's calculate the mean value of each one. The mean is given by the sum of all values divided by the number of values.

So we have:

The mean value of Jordan is greater, therefore the first option is not correct.

Now, let's calculate the median of each set of values:

Jordan has a greater median, therefore the third option is not correct.

The range of values from Jordan is 85 - 60 = 25, and the range of values from Alex is 79 - 63 = 16.

The range from Jordan is greater, therefore the second option is the correct one.

The values of the expressions are;

z³³

d⁻¹⁶

Note that index forms are described as forms used in the representation of numbers or variables too large or small.

Some rules of index forms are;

Then, from the information given, we have that;

(z⁻⁴/z⁶  × z⁵/z⁻⁶)⁻¹¹

Subtract the exponents, we have;

(z⁻² × z⁻¹)⁻¹¹

expand the bracket

z²² ⁺ ¹¹

z³³

(d⁴)⁻³/(d⁶)⁻²  ÷  (d⁴/d⁶)⁻⁸

expand the brackets

d⁻¹²/d¹²  ÷    (d⁻²)⁻⁸

subtract the exponents

d⁰  ÷  d¹⁶

d⁻¹⁶

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Answer:

7 servings

Step-by-step explanation:

If you can make the spice rub with 2 tbsp, then divide 14 by 2 to get 7.

If you need reassurance multiply 7 x 2.

Answer:

KL = 5.3

Step-by-step explanation:

Base on proportionality theorem, we have the following equation showing the relationship between the segments:

4/6 = KL/8

Cross multiply

6*KL = 8*4

6*KL = 32

DIvide both sides by 6

KL = 32/6

KL ≈ 5.3

\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

Answer: $21.75

Bowler World charges $3.00 to rent shoes and $3.75 games

Let the number of games be = x

Total cost = Charges to rent shoes + charges per game x number of games

Total cost = 3 + 3.75 * x

Total cost = 3 + 3.75x

Total cost of renting shoes and bowling 5 games at Bowler world can be calculated as follows

Total cost = 3 + 3.75 x 5

Total cost = 3 + 18.75

Total cost = $21.75

Therefore, the total cost of renting shoes and bowling 5 games at Bowler World is $21.75

The expenditure on rent as a percentage of the employee's take-home pay is approximately 17.9%.

What is an expenditure?

we need to calculate the actual expenditure in Ghana cedis (GHS) for each item using the percentages given in the table:

Social security: 5% of GHS 1800 = GHS 90

Income tax: 25% of GHS 1800 = GHS 450

Food: 40% of GHS 1800 = GHS 720

Transport: 10% of GHS 1800 = GHS 180

Rent: 12.5% of GHS 1800 = GHS 225

Others: 7.5% of GHS 1800 = GHS 135

The total actual expenditure is GHS 1800, which matches the gross monthly salary.

To calculate the expenditure on rent as a percentage of the employee's take-home pay, we need to subtract the social security and income tax from the gross salary to get the net salary:

Gross salary: GHS 1800

Social security: GHS 90

Income tax: GHS 450

Net salary: GHS 1800 - GHS 90 - GHS 450 = GHS 1260

Then, we can calculate the percentage of the net salary spent on rent:

Rent: GHS 225

Percentage of net salary: (GHS 225 / GHS 1260) x 100% ≈ 17.9%

Therefore, the expenditure on rent as a percentage of the employee's take-home pay is approximately 17.9%.

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Complete question is: The expenditure on rent as a percentage of the employee's take-home pay is approximately 17.9%.