What is the relative frequency of ages 65 to 69? round your answer to 4 decimal places

The probability that a person chosen at random has run a red light in the last year can be calculated by taking the number of people who said “yes” to running a red light and dividing it by the total number of people in the group.

For example, if 10 people said “yes” and 20 said “no”, the probability of a person chosen at random running a red light in the last year is 10/30, or 1/3.

The probability of an event happening is calculated using the formula:

Probability = Number of Favorable Outcomes / Total Number of Outcomes

In this case, the favorable outcome is running a red light in the last year, and the total number of outcomes is the total number of people asked.

To calculate the probability, we take the number of people who said “yes” to running a red light in the last year and divide it by the total number of people in the group. In our example, 10/30 = 1/3, so the probability that a person chosen at random has run a red light in the last year is 1/3.

In conclusion, the probability of a person chosen at random having run a red light in the last year is calculated by taking the number of people who responded “yes” and dividing it by the total number of people in the group.

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We have

First we will multiply 3x by 4x, then 3x by 7, then -8 by 4x and then -8 by 7

then we sum similar terms and we obtain the answer

Answer:

1.) (x - 13)(x - 8)

2.) x(x - 11)(x + 13)

3.) (x - 2)(x - 4)(2x + 1)

4.) (3x + 2)(3x - 1)

5.) (x - 4)(3x + 13)

Step-by-step explanation:

1.) (x² - 13x - 9x + 117) + (x - 13)

2.) x(x² + x - 132) + x(x - 11)

= x(x + 12)(x - 11) + x(x - 11)

= x(x - 11)(x + 13)

3.) (2x³ - 12x² + 16x) + (x -2)(x -4)

= 2x(x² - 6x + 8) + (x -2)(x - 4)

= 2x(x² - 4x - 2x + 8) + (x -2)(x -4)

4.) 9x² - 4 + (3x + 2)

= (3x)² -2² + (3x + 2)

= (3x + 2)(3x - 2) + (3x + 2)

5.) (3x² - 48) + (x - 4)

= 3(x - 4)(x + 4) + (x - 4)

Answer:

5 or

Step-by-step explanation:

Answer:

(1, 3)

Step-by-step explanation:

The solution to these kinds of graphs is where the 2 lines intersect, in this case they intersect at (1, 3), so (1, 3) is the solution

A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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Answer:

8 in

Step-by-step explanation:

The radius of the tire is 8.00 inches

The given parameters are:

Revolution, r = 100

Distance, d = 5027

Start by calculating the circumference of the tire using:

C = d/r

This gives

C = 5027/100

Evaluate

C = 50.27

The circumerence of a circle is:

C = 2pi r

This gives

2pi r = 50.27

Make r th subject

r = 50.27/2pi

Evaluate the quotient

r = 8.00

Hence, the radius of the tire is 8.00 inches

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Answer:    the answer is $3,084

Step-by-step explanation:

The reason i got this answer is because i added $329 + $699 x 3 = $3,084

Answer:

Step-by-step explanation:

add the cost of ipad and iphone

Answer:

Dodecagon (12 sides)

Step-by-step explanation:

PLS GIVE BRAINLIEST

Based on the provided scenario, the statement can be classified as: b. This is a nonsampling error that causes bias.

Nonsampling errors refer to errors that occur in data collection, processing, or analysis that are not related to the sampling method.

The scenario described, where individuals may not provide truthful answers due to fear of their responses being shared with law enforcement officials, introduces a bias in the collected data.

This bias occurs because the reported data does not accurately represent the true prevalence of illicit drug use in the population.

The fear of legal consequences leads to a systematic deviation from the true values, which is a form of bias.

Therefore, option b is the correct classification for this scenario.

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There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of students in 5th grade = 152

Amount of pencil each student have = 18

Then, the total number of pencils altogether,

= 152 × 18

= 2,736 pencils.

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The standard deviation of the given data is  8.

Option B is the correct answer.

To calculate the standard deviation of the given data, we can use the following formula:

σ = √ [Σ(xi - μ)² / N

where σ is the standard deviation, xi is each data point, μ is the mean of the data, and N is the total number of data points.

We have,

The mean of the data:

μ = (24 + 28 + 32 + 36 + 40 + 44 + 48) / 7

  = 36

Now,

We can calculate the sum of squared differences from the mean.

Σ(xi - μ)²

= (24 - 36)² + (28 - 36)² + (32 - 36)² + (36 - 36)² + (40 - 36)² + (44 - 36)²

+ (48 - 36)²

= 144 + 64 + 16 + 0 + 16 + 64 + 144

= 448

And,

We can substitute these values into the formula for the standard deviation.

So,

σ = √ [Σ(xi - μ)² / N]

= √[448 / 7]

= 8.13

= 8

Therefore,

The standard deviation of the given data is  8.

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To find g(-2), we'll substitute -2 for x in the equation g(x) = -4x² - 5x + 9. So,g(-2) = -4(-2)² - 5(-2) + 9g(-2). The value of g(-2) is -6.

To find g(-2), substitute -2 for x in the equation

g(x) = -4x² - 5x + 9 to get

g(-2) = -6 + 9g(-2)

We are given three functions as follows:

f(x) = (1/3)x - 5, g(x)

= -4x² - 5x + 9, and

h(x) = 1/(x - 8) + 3.

We are asked to find g(-2), which is the value of g(x) when x = -2.

Substituting -2 for x in the equation g(x) = -4x² - 5x + 9, we get

g(-2) = -4(-2)² - 5(-2) + 9.

This simplifies to g(-2) = -16 + 10 + 9 = -6.

Hence, g(-2) = -6.

The value of g(-2) is -6.

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Answer:

Step-by-step explanation:

B

The surface area of a triangular prism is 288 square inches. If the triangle base is 8 inches, each rectangular face will be 8 inches broad and 10 inches long. The height of the triangular prism is 16 inches.

To find the height of the triangular prism, we need to use the formula for the surface area of a triangular prism:

Surface Area = 2(Area of the rectangular face) + (Perimeter of the base) x (Height)

We know that the rectangular face has a width of 8 inches and a length of 10 inches, so its area is:

Area of the rectangular face = 8 x 10 = 80 square inches

We also know that the surface area of the triangular prism is 288 square inches. Substituting these values into the formula, we get:

288 = 2(80) + (Perimeter of the base) x (Height)

Simplifying this equation, we get:

288 = 160 + 8(Height)

128 = 8(Height)

Height = 16 inches

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Answer:

\(-6\leq x \leq 2\)

Step-by-step explanation:

The simplest one is

\(-6\leq x\leq 2\\\\x\in N\)

if you want a more complex one you will eventually get the simple

Julian has $10,824.32 at the end of the year and $14,859.47 after 5 years.

Compound interest is the interest paid by the bank for both of principle amount and the interest the account has already earned.

Julian starts bank with principle amount $10,000.

Bank compounds the interest quarterly at an annual interest rate 8%.

Then, total amount in the end of the year.

     \(A = p(1+\frac{r}{n} )^{nt}\)

         = \(10,000(1+\frac{0.08}{4} )^{4}\)

         = $10,824.32.(at the end of the year)

After 5 years,

    \(A=10000(1+\frac{0.08}{4} )^{(4)(5)}\)

        = $14,859.47(after 5 years)

Hence, Julian has $10,824.32 at the end of the year and $14,859.47 after 5 years.

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0.578 can be expressed as a percent if we can multiply the decimal by 100%

Step 1: Multiply 0.578 by 100

To multiply by 100, we simply have to shift the decimal point by the number of zeros (twice)

0.578 x 100 = 57.8%

Answer = 57.8%

Answer:

r57

Step-by-step explanation:

Answer:

it's correct good job :)

Answer:

Step-by-step explanation:

Answer:  Fortunately, you don’t have to prove that x or y must be 1 or -1 in order for x*y to not be an element of G.

You only need to prove that x*y is an element of G for any x,y in G.  (That’s what it means for * to be an operation on G.)

I haven’t thought yet about how to prove that, but let me give you some thoughts off the top of my head.

We know -1 < x, y < 1.  We must show -1 < (x + y) / (xy + 1) and (x + y) / (xy + 1) < 1.

First, let’s show that -1 < (x + y) / (xy + 1).

I want to multiply xy + 1 to both sides, but we need to know whether it’s positive or not, so we know whether to reverse the inequality.

Well, -1 < x, y < 1 implies that xy > -1, which implies that xy +1 > 0.

So we must show that -(xy + 1) < x + y.

That is, let’s show that 0 < x + y + xy + 1.  (I don’t know if this is going anywhere useful; I’m just playing around with algebra.)

Answer:

EF = 6

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(4+2x) * 4 = (5+x) * 5

Distribute

16+8x = 25+5x

Subtract 5x

16+3x = 25

Subtract 16

3x = 25-16

3x = 9

Divide by 3

x = 9/3

x=3

We want EF

EF = 2x = 2*3 = 6

the approximate area of the base of the paint can is 53.5 square centimeters.by using Volume formula is Base Area × Height

To find the approximate area of the base of the paint can, we can use the formula for the volume of a cylinder:

Volume = Base Area × Height

We are given the volume (535 cubic centimeters) and the height (10 cm). We need to solve for the Base Area. Rearranging the formula to solve for Base Area, we get:

Base Area = Volume ÷ Height

Now, substitute the given values:

Base Area = 535 cubic centimeters ÷ 10 cm

Base Area ≈ 53.5 square centimeters

So, the approximate area of the base of the paint can is 53.5 square centimeters.

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The approximate area of the base of the can is 53.5 square centimeters

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

Volume = 535 cubic centimeters of paint

Height of container = 10 cm

The area of the base of the can is calculated as

Base area = Volume/Height

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

Base area = 535/10

Evaluate

Base area = 53.5

Hence, the base area is 53.5 square centimeters

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Answer:

second one

Step-by-step explanation:

it is the second one , it has three expression starts with 5

when n=0 :2n+5=2(0)+5=5

n=1 : 2n+5=7

n=2: 2n+5=4+5=9

n=3: 2n+5=11

Answer: B

Step-by-step explanation:

Answer:

Step-by-step explanation:

GOT IT?

Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

Given:

Payment required at the end of each year: P50,000

Number of years until the daughter starts college: 8

Interest rate: 7% (compounded annually)

We can calculate the annual savings using the formula for the present value of an ordinary annuity:

P = \dfrac{PMT \times (1 - (1 + r)^{-n}{r}

Where:

P = Present value (amount to be saved annually)

PMT = Payment amount (P50,000)

r = Interest rate per period (7% or 0.07)

n = Number of periods (8)

Let's substitute the given values into the formula:

\[ P = \dfrac{50,000 \times (1 - (1 + 0.07)^{-8}{0.07} \]

Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

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Answer:

y=x^2+6

Step-by-step explanation: Look at the vertex (0,6). We know the equation is quadratic so we know x^2. We know in the slope-interpect form equation the y-intercept is the term after the slope. The same applies in this equation. So that means the y intercept is 6 because y is 6 in the coordinate (0,6). We know the slope x^2. We need to plug that into the slope-intercept form equation.

The equation will be y=x^2+6.

Answer:

\(y = x^2 + 6\)

Step-by-step explanation:

Vertex form for a parabola is \(y = a(x-h)^2 + k\) where the vertex is \((h,k)\). Now for a vertex of (0,6), we can simply plug those values in for h and k: \(y = x^2 + 6\).

Hope this helps!! :)

The probability that none of the three adults get news from the newspaper is 0.378.

To understand why, let's break down the problem step by step.

Step 1: Calculate the total number of ways to choose 3 adults out of the 70 surveyed. This can be done using the combination formula:

C(n, r) = n! / (r!(n - r)!)

In this case, n = 70 (the total number of adults surveyed) and r = 3 (the number of adults being chosen).

C(70, 3) = 70! / (3!(70 - 3)!)

Step 2: Calculate the number of ways to choose 3 adults who don't get news from the newspaper. Since there are 12 adults who get news from the newspaper, we need to choose 3 adults from the remaining 70 - 12 = 58 adults who don't get news from the newspaper.

C(58, 3) = 58! / (3!(58 - 3)!)

Step 3: Calculate the probability by dividing the number of ways to choose 3 adults who don't get news from the newspaper by the total number of ways to choose 3 adults:

P = C(58, 3) / C(70, 3)

Step 4: Substitute the values and calculate the probability:

P = (58! / (3!(58 - 3)!)) / (70! / (3!(70 - 3)!))

P = (58! / (3!55!)) / (70! / (3!67!))

P = (58! * 67! * 3! * 3!) / (3! * 55! * 70!)

Many terms in the numerator and denominator will cancel out, leaving us with:

P = (58 * 57 * 56) / (70 * 69 * 68)

P = 0.378

So, the probability that none of the three adults get news from the newspaper is 0.378.

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Complete Question

A news organization surveyed 70 adults. Each said he or she gets news from only one source. Here is a summary of their sources of news. Source of news Number of adults 22 Radio 12 Newspaper 13 Television 23 Internet Three of the adults from the survey are selected at random, one at a time without replacement. What is the probability that none of the three adults get news from the newspaper? Do not round your intermediate computations. (Round your final answer to three decimal places)

Answer:

Equation: y=-2,000x+30,000

Slope: Plane is going down at the rate of 2,000 feet per minute

y-intercept: The intal altitude is 30,000 feet in the air

10 minute: 10,000 feet

0 altitude: 15 minutes

Step-by-step explanation: