Given p(x) = x+7/3
if p(x) = 13, find x.

The probability that all 4 people spend more than an hour a day using the Internet is 0.053 or 5.3%.

The given problem is an example of a binomial probability distribution, where there are only two outcomes - success and failure. Here, success means spending more than an hour a day using the internet, and failure means spending an hour or less a day.

The probability of success is p = 0.48, and the probability of failure is q = 1 - p = 0.52.

To find the probability that all 4 people spend more than an hour a day using the Internet, we need to use the formula for the binomial probability distribution:

P(X = k) = (n choose k) * \(p^{k }* q^{(n-k)\)

Here, n = 4 (the number of people selected), and k = 4 (the number of people who spend more than an hour a day using the Internet).

Plugging in the values, we get:

P(X = 4) = (4 choose 4) * 0.48⁴ * 0.52⁴⁻⁴ = 0.053

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Answer:

we have only two or three acute angles in a triangle. so ima say at least 1

Step-by-step explanation:

Based on the information in the image, it can be inferred that the sides of the box measure 5 cm each.

To find the measure of the sides of the box we must carry out the following mathematical procedure:

As we know the volume of a cube is the equivalent to the length of its sides raised to the cube (raised to the 3). In this case, to identify the value of the sides we must find the cube root of the volume and the result is the length of the sides.

So this cube has a volume of 125cm³, so its sides would be the cube root of 125.

\(\sqrt[3]{125} = 5\)

According to the above, the length of the sides is 5 taking into account that all the sides are equal.

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Marcy is a real estate agent. She sold a house for $356,700. Her commission from that sale was $12,484.50. What is her commission rate?​

we have that

$356,700 represent 100%

so

applying proportion

Find out how much percentage represent $12,484.50

100/356,700=x/12,484.50

solve for x

x=(100/356,700)*12,484.50

x=3.5%

therefore

Answer:

The linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2  OR y = 0.75x + 2

Step-by-step explanation:

In the linear equation, y =mx + b

This is the equation of a straight line where m is the gradient and b is the intercept on the y-axis.

In the equation, y represents the height of the trees after x years.

m is the gradient, that is, the rate at which the trees are growing.

and b is the height at the time they were planted, that is, at time x = 0.

From the question,

Six 2-foot tall pine trees were planted during the school's observation of Earth Awareness Week in 1990, that is,

b = 2

Also, from the question,

The trees have grown at an average rate of 3/4 foot per year, that is,

m = 3/4

Hence, the equation becomes

y = 3/4x + 2  (\(y = \frac{3}{4}x + 2\))

OR

y = 0.75x + 2

Hence, the linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2  OR y = 0.75x + 2.

Equation that represents the height of the tree in terms of number of years since they were planted

\(y=\frac{3}{4}x+2\)

Given :

Six 2-foot tall pine tress were planted.

The trees have grown at an average rate of 3/4 foot per year.

We need to frame linear equation that represents the height of the tree in terms of number of years.

Linear equation is y=mx+b

where b is the initial height of the tree

m is the rate of growth of the tree

y is the final height of the tree

and x  represents the number of years

Initial height of the tree is 2 foot

rate of growth is 3/4 foot per year

x is the number of years

Replace all the values inside y=mx+b formula

\(y=\frac{3}{4}x+2\)

Equation that represents the height of the tree in terms of number of years since they were planted

\(y=\frac{3}{4}x+2\)

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Answer:

5.3333

or 5 and 1/3

Step-by-step explanation:

10 = 3x - 6

add six

16 = 3x

divide by 3

5.3333 = x

I hope this helps!!

Answer:

they each costed $2

Step-by-step explanation:

all you do is take 5 and count how many fingers u have left then u get 2

Answer:

Each book mark is 2 dollars

Step-by-step explanation:

You subtract the $5 from the $13 and that is equal to 8 dollars. Then you divide 8 by the 4 bookmarks and the answer is 2 dollars.

Answer:

86

Step-by-step explanation:

The price should be higher than the AVC and ATC in order to make a profit in the short term. Therefore, in order to achieve the requisite profit, the MR curve must rise above cost = 7.

When businesses in a cutthroat sector start making money, it opens the door for more businesses to enter the market, which leads to a shift to the right in the supply curve, a drop in price, and the return of all businesses to a state of no economic profit.

If the market price is lower than the average total cost, a company will experience positive economic profit in the short term.

In the short run, a monopolistically competitive firm optimises profits or avoids losses by producing the amount where marginal revenue equals marginal cost. If the average total cost is less than the market price, the company will make a profit.

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Answer:

Line A

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

100-46=54

The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

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The data set that best describes the histogram is

(4, 7, 11, 13, 14, 19, 22, 24, 26, 27, 29, 31, 33, 35, 36, 38, 40, 42, 42, 42)

We have,

The histogram shows that there are different intervals on the x-axis, and for each interval, there is a corresponding frequency on the y-axis.

From the given data, we can see that there are more passengers in the 11 to 20 interval than in the 1 to 10 interval, and so on.

Looking at the answer choices, we need to choose the data set that matches the histogram.

The first step is to check if the data set has the same range as the histogram.

The histogram has intervals from 1 to 10, 11 to 20, 21 to 30, 31 to 40, and 42 to 50.

Now,

The first answer choice has numbers less than 1 and greater than 50, so it cannot be the correct choice.

The second answer choice has a range from 4 to 42, which matches the histogram.

We can check if the frequencies in the data set match the heights of the bars in the histogram.

For example, the histogram has a bar for the 11 to 20 interval that stops at 4, which means there are 4 passengers in that interval.

The second data set has 4 passengers in the 11 to 20 interval, so it matches.

We can do the same for the other intervals and find that the second data set matches the histogram.

Therefore,

The data set that best describes the histogram is

(4, 7, 11, 13, 14, 19, 22, 24, 26, 27, 29, 31, 33, 35, 36, 38, 40, 42, 42, 42)

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The expression (32 ÷ (10 - 8)) ÷ 2 - 3 evaluates to 5 and includes the necessary parentheses to achieve this result.

What is an algebraic expression?

An algebraic expression is a mathematical phrase that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

To make the value of the expression equal to 5, we can use parentheses to change the order of operations. One possible way to do this is:

32 ÷ (10 - (8 ÷ 2) - 3)

First, we evaluate the expression inside the parentheses:

8 ÷ 2 = 4

10 - 4 - 3 = 3

So now the expression becomes:

32 ÷ 3

=10.67

This is not equal to 5.

To make the value of the expression equal to 5, we need to modify the expression inside the parentheses. One way to do this is:

32 ÷ (10 - (8 ÷ (2 - 3)))

Here, we use the parentheses to change the order of operations so that we subtract 3 from 2 before dividing 8 by the result. This gives us:

8 ÷ (-1) = -8

So now the expression inside the parentheses becomes:

10 - (-8) = 18

So the entire expression becomes:

32 ÷ 18 = 1.78

This is still not equal to 5.

Another way to make the value of the expression equal to 5 is:

(32 ÷ (10 - 8)) ÷ 2 - 3

Here, we use the parentheses to ensure that we divide 32 by the result of (10 - 8) before dividing the whole expression by 2 and subtracting 3. This gives us:

32 ÷ 2 - 3 = 13

So the entire expression becomes:

13

And this is equal to 5.

Therefore, one possible expression that includes a set of parentheses so that the value of the expression is 5 is:

(32 ÷ (10 - 8)) ÷ 2 - 3

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Answer:

\(Total = \$7800\)

Step-by-step explanation:

Given

\(Cost = \$32.50\) per square yard

\(Length = 432.0ft\)

\(Width = 5.0ft\)

Required

Determine the cost of carpet and installation

First, calculate the area of the carpet

\(Area = Length * Width\)

\(Area = 432.0ft * 5.0ft\)

\(Area = 2160ft^2\)

Convert to square yard

\(Area = \frac{2160yd^2}{9}\)

\(Area = 240yd^2\)

The cost is then calculated as:

\(Total= Area * Unit\ Cost\)

\(Total = 240 * \$32.50\)

\(Total = \$7800\)

The domain is A)0 \(\le x \le 12\).

What is domain?

The range οf values that we are permitted tο enter intο οur functiοn is knοwn as the dοmain οf a functiοn. The x values fοr a functiοn like f make up this set (x). A functiοn's range is the cοllectiοn οf values it can take as input.

Here in the given graph ,

Y coordinate represent the height and x coordinate represent the times.

In the given function x value is maximum 12. Then the domain is between 12.

Hence the correct option is A) 0 \(\le x \le 12\).

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1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

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Answer:

B. 7.35 inches

Step-by-step explanation:

In the triangle:

Now we know that:

\(\angle A+\angle B+\angle C=180^\circ$ (Sum of angles in a \triangle)\\63^\circ+47^\circ+\angle C=180^\circ\\\angle C=180^\circ-(63^\circ+47^\circ)\\\angle C=70^\circ\)

Using the Law of Sines

\(\dfrac{a}{\sin A} =\dfrac{c}{\sin C}\\\\\dfrac{a}{\sin 63^\circ} =\dfrac{7.75}{\sin 70^\circ} \\\\a=\dfrac{7.75}{\sin 70^\circ} \times \sin 63^\circ\\\\a=7.35$ inches (to the nearest hundredth of an inch)\)

Answer:

B.  7.35 inches

Step-by-step explanation:

just use the law of sines

Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

Answer:

Step-by-step explanation:

Formula for area of a triangle:

Height x Base /2

Base (b) = h +4

Height = h

h + 4 x h /2 = 30cm

=> h +4 x h = 60

=> h+4h =60

=> 5h = 60

=> h = 12

Height = 12

Base = 12 +4 = 16

Answer:

A

Step-by-step explanation:

The table shows that more Republicans and Democrats do not support the law than do support the law

The correct pairings are:

a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

b) Five times the difference of a number squared and six: 5(n² - 6)

c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

d) O twice the difference of nine and a number squared: 2(9 - n²)

The correct pairings of descriptions and expressions are as follows:

Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.

Five times the difference of a number squared and six: 5(n² - 6)

This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.

Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.

O twice the difference of nine and a number squared: 2(9 - n²)

This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.

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Step-by-step explanation:

138 I guess I think. this is the answer.

The expression, \((-243)^{-3/5}\) on simplification using the laws of the exponent can be written as - (1/27).

Exponents are of the form aˣ, read as " a to the power x", function as a multiplied by itself x number of times, and are used in a numerical and algebraic expression.

To simplify these expressions, we use the following laws of the exponents:

\(1. a^m.a^n = a^{m + n}\\2.\frac{a^m}{a^n} = a^{m-n}\\ 3. (a^m)^n = a^{mn}\\4. a^{-m} = \frac{1}{a^m}\\5. a^0 = 1\)

In the question, we are asked to simplify the expression, \((-243)^{-3/5}\).

The expression can be solved using the laws of exponent as follows:

\((-243)^{-3/5}\\\)

= \(((-3)^5)^{-3/5}\)

= \((-3)^{-3}\) {Using the law of exponent: \((a^m)^n = a^{mn}\)}

= \(\frac{1}{-3^3}\) {Using the law of exponent: \(a^{-m} = \frac{1}{a^m}\)}

= 1/(-27)

= - (1/27).

Thus, the expression, \((-243)^{-3/5}\) on simplification using the laws of exponent can be written as - (1/27).

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Answer:

The answer is 50 cars per hour

Step-by-step explanation:

Simply divide 400 by 8 to get your answer

Hope that helps!

Answer:

5 1/8

Step-by-step explanation:

4 + 3/4 + 3/8 =

3/4 + 3/8 = 6/8 + 3/8 = 9/8 = 1 1/8 + 4 = 5 1/8

Answer:

Step-by-step explanation:

so first you need to find the slope

you can draw the line on a graph and use a protractor

final answer=46 degrees

Answer:-5/-19

the answer is -5/-19 and can not be simplify

Answer:

both

Step-by-step explanation: