3^2 + 2^3
It’s looks so easy but I can’t figure it outttt

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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Answer:

8-10 feet

Step-by-step explanation:

If the length of the carpet is two more than the width, the width can be expressed as x and the length can be expressed as x+2. This means that the area(x^2+2x) must be greater than 48 but no less than 80.

Now we can solve for both the maximum and minimum cases:

x^2+2x=48, x^2+2x-48=0, now we can factor, (x+8)(x-6)=0, and now we can use the Zero Product Property to find x=-8;x=6. Since we cant have negative width, x at least has to be equal to 6.

x^2+2x=80,x^2+2x-80=0, now we can factor, (x+10)(x-8), and now using the Zero Product Property to find x=-10;x=8, and since it must be positive, at most x can equal 8.

Now since the length is two more than the width, x, you add two to both of these values and get a range of 8-10 feet.

Answer:

The value of x is 8

Step-by-step explanation:

In the given triangle

∵ A line segment joining points on two sides and parallel to the 3rd side

→ That means this line segment divided the two sides into equal ratios

∵ It divided the 1st side into 10 and 3x + 1

∵ It divided the 2nd side into 22 and 7x - 1

∴ \(\frac{10}{3x+1}\) = \(\frac{22}{7x-1}\)

→ By using cross multiplication

∵ 10(7x - 1) = 22(3x + 1)

∴ 10(7x) - 10(1) = 22(3x) + 22(1)

∴ 70x - 10 = 66x + 22

→ Subtract 66x from both sides

∵ 70x - 66x - 10 = 66x - 66x + 22

∴ 4x - 10 = 22

→ Add 10 to both sides

∴ 4x - 10 + 10 = 22 + 10

∴ 4x = 32

→ Divide both sides by 4

∴ x = 8

∴ The value of x is 8

The negative values to get a positive number:100101.1101 + 64 = 1100101.1101 and −100101.1101 + 64 = −100010.1101

Thus, the biased representation of 37.8125 and −37.8125 in binary with k = 7 and m = 4 is as follows:37.8125 = 1100101.1101 and −37.8125 = 100010.1101

In a biased representation, a fixed bias amount is added to the value of the number being represented to ensure that it is always positive.

By making the most significant digit always 1, the representation can handle signed numbers.

The biasing scheme used in this problem is 64.

Using the biased representation of k = 7 and m = 4, represent the decimal numbers (37.8125)10 and (−37.8125)10 in binary.

We first write the decimal values in binary:37.8125 = 100101.1101 and −37.8125 = −100101.1101

Next, we will add the bias value of 64 to both the positive and negative values to get a positive number:100101.1101 + 64 = 1100101.1101 and −100101.1101 + 64 = −100010.1101

Thus, the biased representation of 37.8125 and −37.8125 in binary with k = 7 and m = 4 is as follows:37.8125 = 1100101.1101 and −37.8125 = 100010.1101

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The largest number of fence post that can possibly be cut from the log is 23.8( nearest tenth)

A word problem in math is a math question written as one sentence or more. This statements are interpreted into mathematical equation or expression.

For us to know the number of fence post that can be obtained from the log, we need to convert the length of the log into cm

Therefore;

1m = 100cm

16m = 16× 100 = 1600 cm

Therefore the maximum number of fence post that can be obtained is

1600/70 = 160/7

= 23.8 ( nearest tenth)

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Answer:

25/81 is already in the simplest form. It can be written as 0.308642 in decimal form (rounded to 6 decimal places).

BD is the Perpendicular bisector of AC.

To complete the flowchart proof, we have to prove that BD is the perpendicular bisector of AC. Here's the proof:

Given D is the midpoint of Line AC and Line AC ⊥ BD, we need to prove that BD is the perpendicular bisector of AC.

1. Draw a diagram of the given situation. Let D be the midpoint of Line AC and Line AC ⊥ BD.

2. Draw Line BD.

3. Since AC is perpendicular to BD, angle ABD and angle CBD are right angles.

4. Since D is the midpoint of AC, AD = DC.

5. Since angle ABD and angle CBD are right angles, triangle ABD and triangle CBD are both right triangles.

6. By the Pythagorean Theorem, AB² + BD² = AD² and BC² + BD² = CD².

7. Since AD = DC, then AD² = DC². Therefore, AB² + BD² = BC² + BD².

8. Subtracting BD² from both sides of the equation, we get AB² = BC².

9. Therefore, triangle ABC is an isosceles triangle, since AB = BC.

10. Since triangle ABC is isosceles, then angle ABD and angle CBD are congruent.

11. Since angle ABD and angle CBD are congruent, then BD is the perpendicular bisector of AC.

Hence, BD is the perpendicular bisector of AC.

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Answer:

2,3,4

Step-by-step explanation:

The probability that a student scores between 450 and 600 on the SAT math section is approximately 0.4147 or 41.47%.

To find the probability that a student scores between 450 and 600 on the SAT math section, we need to use the properties of the normal distribution. We know that the mean is 511 and the standard deviation is 110.

First, we need to standardize the values of 450 and 600 using the formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.

For 450:

z = (450 - 511) / 110 = -0.55

For 600:

z = (600 - 511) / 110 = 0.81

Next, we need to find the area under the normal curve between these two standardized values. We can use a table or a calculator to find that the area between z = -0.55 and z = 0.81 is approximately 0.4147.

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Answer:

Number 1: -8.7. Number 2: -2

Step-by-step explanation:

To find the first one, subtract 11 from 2.3.

2.3-11= -8.7 , so that's the answer for the first one.

To find the answer to the second one, just do -4+-2=-2, so that's the answer for the second one.

Answer:

225 m³ or 225 cubic meters

Step-by-step explanation:

Actually it has 5 sides, the 2 bases, the 3 lateral faces.

The formula for the volume of a triangular prism is: \(\frac{h*b*l}{2}\)

Using the given measurements, we get:

\(\frac{9*5*10}{2} =\\\\\frac{450}{2} =\\\\225\)

The volume of the prism is 225 m³

For all the dogs: you have 2.65+2.46+3.67+2.91 = 11.69%

Now, the probability of getting a chihuahua would be 3.44/11.69=0.2942= 24.92

Step-by-step explanation:

there ya go!!

Answer:

The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is 11.71% .

The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is 29.37% .

Step-by-step explanation:

2.76% + 2.86% + 3.44% + 2.65% = 11.71%

11.71 / 3.44 = .2937

.2937 = 29.37%

Answer:

The population is everyone listed in the city phone directoy; the sample is the 75 people selected

Step-by-step explanation:

(A) If Two independent events, A and B, are such that P(A) = 0. 2 P(A U B) = 0. 8, then probability P(B) =  5/8.

The possibility of the result of any random event is referred to as probability. This term refers to determining how likely an event is to occur. What are the chances of getting a head when we toss a coin in the air, for instance? The quantity of outcomes depends on the response to this question. Here, the outcome could be either head or tail. Thus, there is a 50% chance that the result will be a head.

The probability serves as a gauge for the likelihood that an event will occur. It gauges how likely an event is to occur. The probability equation is given by;

P(E) = Number of Favourable Outcomes/Number of total outcomes

We know that

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = P(A) + P(B) - P(A).P(B)

0.8 = 0.2 + P(B) - 0.2.P(B)

0.5 = P(B)  - 0.2.P(B)

0.5 = 0.8.P(B)

P(B) = 0.5/0.8

P(B) = 5/8

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The steps to evaluate an exponential expression include:

First, you need to identify the base which is the number being raised to a power, and the exponent is the power to which the base is being raised. Then replace this base with the value that is needed to be used.

Use this exponent such that you can find out the number of times the base will multiply itself and then do the multiplication and simplify the expression.

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Answer:

THANK YOUUU for those who can't see the image its answer choices B , C , and E

Step-by-step explanation:

By using distance formula, JH=VU=√13 units. Therefore, option B, C and E are the correct answers.

Given that, JH=VU.

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x1, y1) and (x2, y2) is Distance = √[(x2-x1)²+(y2-y1)²].

From the triangle UVW, we have V(5, 2) and U(2, 4).

From the triangle JKH, we have J(-5, -3) and H(-3, 0).

Now,

VU = √[(2-5)²+(4-2)²]

= √13 units

JH = √[(-3-(-5))²+(0-(-3))²]

= √[(-3+5)²+(0+3)²]

= √13 units

By using distance formula, JH=VU=√13 units. Therefore, option B, C and E are the correct answers.

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The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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Answer:

8 1/3 %

Step-by-step explanation:

Since he bought for 240 and sold for 220, decrease is 20 Rupees.

20/240 = 1/12

100/12 = 8.33333 (Repeated)

0.33333 (repeated) = 1/3

8 1/3 %

Hope this helps!

Answer:

Given :

By selling an article for rupees 144, a man loses 17

of his outlay. It is sold for rupees 189.

To do :

We have to find the gain or loss percent.

Solution :

Let the cost price of article be Rs. x

.

This implies,

SP =CP −Loss

=x−x7

=6x7

Therefore,

6x7=144

x=144×76

x=Rs. 168

If the article is sold for Rs. 189, then,

SP =Rs. 189

Profit =

SP − CP

=189−168

=Rs. 21

Gain %=GainCP×100%

=21168×100%

=12.5%

The gain percent is 12.5%

.

Step-by-step explanation:

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The equation y = 0.15x allows us to model the relationship between the number of minutes and the price of a service or product that has a fixed cost per unit time.

The equation y = 0.15x represents a linear relationship between the two variables x and y, where y is the dependent variable (the price) and x is the independent variable (the number of minutes).

This equation tells us that for every additional minute (increase in x), the price (y) will increase by a fixed proportionality constant of 0.15, which is the slope of the line. In other words, if we plot the values of x and y on a coordinate plane, with minutes on the x-axis and price on the y-axis, then the line formed by the equation y = 0.15x will have a slope of 0.15.

For example, if a service charges $0.15 per minute, then the equation y = 0.15x can be used to calculate the total cost (y) of using the service for a certain number of minutes (x). If a customer uses the service for 30 minutes, then the total price would be:

y = 0.15 * 30 = $4.50

Similarly, if the customer uses the service for 45 minutes, then the total price would be:

y = 0.15 * 45 = $6.75

Thus, the equation y = 0.15x allows us to model the relationship between the number of minutes and the price of a service or product that has a fixed cost per unit time.

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The vertical velocity of the string at the origin at time t would be zero, as the origin is a fixed point.

The origin is a fixed point, so it does not move. This means that the vertical velocity of the string at the origin at time t would be zero.

The origin of the string is a fixed point, meaning that it does not move. This implies that the vertical velocity of the string at the origin at time t would be zero, as the origin does not move or change its position. Since the origin is a fixed point, the vertical velocity of the string at the origin at time t would remain constant, and would be equal to zero. Thus, the vertical velocity of the string at the origin at time t would be zero.

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To solve these probability questions, we'll use the standard normal distribution since the per capita consumption of soft drinks is assumed to be approximately normally distributed.

a) To find the probability that someone in the United States consumed more than 750 eight-ounce servings, we need to calculate the area under the standard normal curve to the right of the z-score corresponding to 750 servings.

We'll use the formula:

P(X > 750) = 1 - P(X ≤ 750)

First, we need to standardize the value 750 using the z-score formula:

z = (x - μ) / σ

where x is the value (750), μ is the mean (642), and σ is the standard deviation (100).

z = (750 - 642) / 100

z = 1.08

Using a standard normal distribution table or a calculator, we can find the cumulative probability for z = 1.08. The area to the left of z = 1.08 is approximately 0.8599.

P(X > 750) = 1 - 0.8599

P(X > 750) ≈ 0.1401

Therefore, the probability that someone in the United States consumed more than 750 eight-ounce servings is approximately 0.1401.

b) To find the probability that someone in the United States consumed between 450 and 500 eight-ounce servings, we need to calculate the area under the standard normal curve between the z-scores corresponding to 450 and 500 servings.

First, we standardize the values 450 and 500:

z1 = (450 - 642) / 100

z1 = -1.92

z2 = (500 - 642) / 100

z2 = -1.42

Using the standard normal distribution table or a calculator, we can find the cumulative probabilities for z = -1.92 and z = -1.42. The area to the left of z = -1.92 is approximately 0.0274, and the area to the left of z = -1.42 is approximately 0.0778.

P(450 ≤ X ≤ 500) = P(X ≤ 500) - P(X ≤ 450)

P(450 ≤ X ≤ 500) = 0.0778 - 0.0274

P(450 ≤ X ≤ 500) ≈ 0.0504

Therefore, the probability that someone in the United States consumed between 450 and 500 eight-ounce servings is approximately 0.0504.

c) To find the probability that someone in the United States consumed less than 450 eight-ounce servings, we need to calculate the area under the standard normal curve to the left of the z-score corresponding to 450 servings.

Using the z-score formula:

z = (450 - 642) / 100

z = -1.92

Using the standard normal distribution table or a calculator, we can find the cumulative probability for z = -1.92. The area to the left of z = -1.92 is approximately 0.0274.

P(X < 450) ≈ 0.0274

Therefore, the probability that someone in the United States consumed less than 450 eight-ounce servings is approximately 0.0274.

d) To find the value where 99% of the people in the United States consumed less, we need to find the z-score that corresponds to a cumulative probability of 0.99. This value will be the number of standard deviations from the mean.

Using the standard normal distribution table or a calculator, we can find the z-score that corresponds to a cumulative probability of 0.99. This z-score represents the number of standard deviations from the mean.

The z-score corresponding to a cumulative probability of 0.99 is approximately 2.33.

Now, we can use the z-score formula to find the corresponding value of soft drink consumption:

z = (x - μ) / σ

We rearrange the formula to solve for x:

x = z * σ + μ

Substituting the values:

x = 2.33 * 100 + 642

x = 233 + 642

x = 875

Therefore, 99% of the people in the United States consumed less than 875 eight-ounce servings of soft drinks in 2016.

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The amount of money an adolescent makes, whether from a job, their own business, or investments, determines their tax liabilities and whether they must file a tax return.

The selling price and taxpayers' income are factors in the mathematical calculation of taxes. It is a fee levied by the government on residents in order to raise money for public spending and welfare programmes. Direct tax and indirect tax are the two different forms of taxes.

Although the number of teenagers in the United States who are employed has been declining since the late 1970s, many still work and earn money. 1 As a result, the IRS continues to process millions of teen-filed tax returns.

Despite their youth, teens who earn a specific amount of money must pay taxes, just like everyone else. Teenagers and their parents should be aware of the laws that pertain to young people, as well as how various forms of teen income are taxed.

Hence, the amount of money an adolescent makes, whether from a job, their own business, or investments, determines their tax liabilities and whether they must file a tax return.

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Answer:

\(y = \frac{2}{7} x\)

Step-by-step explanation:

The slope is

\(slope = \frac{rise}{run} = \frac{2}{7} \)

The y-intercept is 0

The equation of line between the points is y = ( 2/7 )x

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 7 , 2 )

Let the second point be Q ( 0 , 0 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2/7 )

Now , the equation of line is y - y₁ = m ( x - x₁ )

y - 0 = ( 2/7 ) ( x - 0 )

y = ( 2/7 )x

Hence , the equation of line is y = ( 2/7 )x

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The value of  x of chord = 5

By definition of circle,

The chord of a circle is defined as the line segment connecting any two locations on the circle's perimeter; nevertheless, the diameter is the longest chord of a circle that goes through the centre of the circle.

The chord is one of the several line segments that may be made in a circle, and its endpoints are on the circumference.

⇒ 6 (6 + x) = 7 (7 + 11)

Solve for x;

⇒ 36 + 6x = 7 × 18

⇒ 36 + 6x = 126

⇒ 6x = 126 - 36

⇒ 6x = 90

⇒ x = 15

Thus, The value of x = 5

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Therefore, the volume of the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is 96 cubic units.

To find the volume of the solid bounded by the coordinate planes (xy-plane, xz-plane, and yz-plane) and the plane 6x + 4y + z = 24, we need to determine the region in space enclosed by these boundaries.

First, let's consider the plane equation 6x + 4y + z = 24. To find the x-intercept, we set y = 0 and z = 0:

6x + 4(0) + 0 = 24

6x = 24

x = 4

So, the plane intersects the x-axis at (4, 0, 0).

Similarly, to find the y-intercept, we set x = 0 and z = 0:

6(0) + 4y + 0 = 24

4y = 24

y = 6

So, the plane intersects the y-axis at (0, 6, 0).

To find the z-intercept, we set x = 0 and y = 0:

6(0) + 4(0) + z = 24

z = 24

So, the plane intersects the z-axis at (0, 0, 24).

We can visualize that the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is a tetrahedron with vertices at (4, 0, 0), (0, 6, 0), (0, 0, 24), and the origin (0, 0, 0).

To find the volume of this tetrahedron, we can use the formula:

Volume = (1/3) * base area * height

The base of the tetrahedron is a right triangle with sides of length 4 and 6. The area of this triangle is (1/2) * base * height = (1/2) * 4 * 6 = 12.

The height of the tetrahedron is the z-coordinate of the vertex (0, 0, 24), which is 24.

Plugging these values into the volume formula:

Volume = (1/3) * 12 * 24

= 96 cubic units

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Answer:

\( {y}^{2} - 9 = 0\)

Step-by-step explanation:

as both 3 and - 3 are possible values of y;

\(y = 3 \: or \: y = - 3\)

\(y - 3 = 0 \: or \: y + 3 = 0\)

therefore;

\((y - 3)(y + 3) = 0\)

by expanding;

\( {y}^{2} - {3}^{2} = 0\)

\( {y }^{2} - 9 = 0\)

Answer:

6. is H

7. is B

Explanation:

the communitive property states that if: a+b=c, then b+a=c

if each ballon costs 2 dollars, that would b 2x or $2 (aka the 2) for 1 balloon (aka the x) and since he has a 10$ off coupon, you have to subtract 10$ so y=2x-10