Kristan helped her father build an addition to the deck at the back of their house. The addition was 7 feet 11 inches on one side and 8 1/2 feet on the other. They want to put a saftey rail on these 2 sides. What is the total length of saftey rail they should buy?

Let x represent the "smallest number" of a set of three unknown numbers.

• The greatest os 4 times the smallest, symbolically: 4x

• The middle number is three more than the smalles, symbolically x+3

• The sum of the smallest and the greatest is the same as 2 times the middle number, symbolically: x+4x=2(x+3)

Using the last expression you can clear the value of x (the smallest number)

x=2 → The smallest number of the set of three is 2

Now using this value and the given equivalencies we can calculate the midle and greatest number:

Middle number

x+3= 2+3= 5

Greatest number

4x=4*2=8

The set of three numbers is (2, 5, 8)

The correct answer is D. $2.75 / $3.24

To determine how much you should expect to pay for gas in Philadelphia versus Cleveland, we need to compare the transportation expenses in both cities. Based on the given data, the transportation expenses are as follows:

Philadelphia: $117

Cleveland: $106

To calculate the expected gas prices, we need to consider the transportation expenses relative to the national average. The formula to find the expected gas price is:

Expected Gas Price = National Average * (Transportation Expense / National Average)

National Average for gas = $2.59

For Philadelphia:

Expected Gas Price in Philadelphia = $2.59 * ($117 / 92) ≈ $3.30

For Cleveland:

Expected Gas Price in Cleveland = $2.59 * ($106 / 78) ≈ $3.51

Comparing the expected gas prices, we find that:

A. $3.03 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

B. $1.95 / $2.59: This option does not match the expected gas prices in Philadelphia and Cleveland.

C. $2.34 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

D. $2.75 / $3.24: This option matches the expected gas prices in Philadelphia and Cleveland.

Therefore, the correct answer is:

D. $2.75 / $3.24

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The probability that Nishi will be scoring zero points would be = 0.09.

Probability can be defined as the possibility of an outcome of an event

Nishi has a 70% chance of making a free-throw. This means that out of 100%, Nishi will miss the free-throw 30% of the time.

Zero points means that Nishi will have to miss the free-throw twice. To calculate this occurrence, we must multiply the chances of Nishi missing twice.

This occurrence asks for a 30% chance to happen the first free throw, and a 30% chance to happen on the second free throw.

30/100 ×30/100

= 9/100

Convert the percentages to a decimal:

= 0.09

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Answer:

f(x) = { 3, 1, -1, -3 }

Step-by-step explanation:

f(x) = −2x + 5

when

x=1

f(1) =−2 * 1 + 5 = -2 + 5 = 3

x=2

f(2) = −2 * 2 + 5 = -4 + 5 = 1

x=3

f(3) = −2 * 3 + 5 = -6 + 5 = -1

x=4

f(4) = −2 * 4 + 5 = -8 + 5  = -3

Answer:

f(x) = { 3, 1, -1, -3 }

Step-by-step explanation:

Have a great day <3

No, based on the given diagonal measures of 3 and 7, ABCD is not a parallelogram.

Based on the diagonal measures given, we can determine if ABCD is a parallelogram by comparing the lengths of its diagonals.

In this case, the given diagonal measures are 3 and 7.

For a quadrilateral to be a parallelogram, its diagonals must have equal lengths.

However, in this case, the given diagonal measures of 3 and 7 are not equal.

Therefore, based on the information provided, we can conclude that ABCD is not a parallelogram.

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

It is also known for having opposite angles that are equal.

While we have only been given the diagonal measures in this case, they are not sufficient to determine if ABCD satisfies the properties of a parallelogram.

To determine if ABCD is a parallelogram, we would need additional information such as the lengths of its sides or the measures of its angles. Without this additional information, we cannot definitively classify ABCD as a parallelogram based solely on the given diagonal measures of 3 and 7.

In summary, based on the given diagonal measures of 3 and 7, we cannot conclude that ABCD is a parallelogram.

Further information is needed to determine its classification accurately.

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Answer:

I cant see the problem sorry

Answer:this question is confusing but it's probably the last one, must be the one passing through

x=1

y=-1

Answer:

20

Step-by-step explanation:

After 40 hours:

After another 40 hours(80 hours):

Answer:

3.7

Step-by-step explanation:

Answer:

yes clearly

Step-by-step explanation:

using rules of divisibility it is divisible

using your calculator it is divisible

the answer is 44

Answer:

points are free?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

clockwise is rotating it to the right. And then 180 rotation would cause the image to be flipped upside down

Answer:

12 / 2.4 = 5

Step-by-step explanation:

So the man is filling the bucket at 5 gallons per minute.

Dont trust me I just did the math and that is what I got....

Sorry if it's wrong

Answer:

To determine how many miles Naomi's car can go on one gallon of gas, we first need to determine how many gallons of gas the car used to travel 15\tfrac{1}{2}15 2 1 ​ miles. We are told that the car used \frac{2}{5} 5 2 ​ of a gallon to travel this distance, so we can multiply this value by 15\tfrac{1}{2}15 2 1 ​ to get the total number of gallons used:

\frac{2}{5} \cdot 15\tfrac{1}{2} = 9

Therefore, the car used 9 gallons of gas to travel 15\tfrac{1}{2}15 2 1 ​ miles. To determine how many miles the car can go on one gallon of gas, we need to divide the total number of miles traveled by the number of gallons used:

15\tfrac{1}{2} \div 9 = \frac{31}{18}

This means that the car can go 31/18 miles on one gallon of gas. Since this fraction is not in simplest form, we can further simplify it by dividing the numerator and denominator by the greatest common factor, which is 3:

\frac{31}{18} \div \frac{3}{3} = \frac{31}{18} \cdot \frac{3}{3} = \frac{31 \cdot 3}{18 \cdot 3} = \frac{93}{54}

Therefore, the car can go 93/54 miles on one gallon of gas. This fraction can be further simplified by dividing the numerator and denominator by the greatest common factor, which is 1:

\frac{93}{54} \div \frac{1}{1} = \frac{93}{54} \cdot \frac{1}{1} = \frac{93 \cdot 1}{54 \cdot 1} = \frac{93}{54}

Therefore, the final answer is that the car can go 93/54 miles on one gallon of gas.

The correct statement is B. The center of the circle is the midpoint of the given endpoints of the diameter.

In a circle, the center is located at the midpoint of any diameter. A diameter is a line segment that passes through the center of the circle and has its endpoints on the circle. Therefore, if we are given the endpoints of a diameter, we can determine the center of the circle by finding the midpoint of these endpoints. This means that the x-coordinate of the center will be the average of the x-coordinates of the endpoints, and the y-coordinate of the center will be the average of the y-coordinates of the endpoints.

Option A is not necessarily true because the x-coordinate of the center may or may not be the same as the x-coordinates of the given endpoints.

Option C is incorrect because the center of the circle can be found by determining the midpoint of the diameter.

Option D is not necessarily true because the y-coordinate of the center may or may not be the same as the y-coordinates of the given endpoints.

Therefore, the correct statement is B. The center of the circle is the midpoint of the given endpoints of the diameter.

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The mean absolute deviation of 22, 14, 24, 20, 36, 28, 43, 35 is 7.75.

Consider the numbers,

22, 14, 24, 20, 36, 28, 43, 35

The formula for mean absolute deviation is given as:

MAD = ( ∑ | x_{i} - x | ) / n

Therefore, the mean of 22, 14, 24, 20, 36, 28, 43, 35 is:

mean = ( 22 + 14 + 24 + 20 + 36 + 28 + 43 + 35) / 8

mean = 222 / 8 = 27.75

Now,

Data point                         Distance from mean

   22                                  | 22 - 27.75| = 5.75

   14                                  | 14 - 27.75| = 13.75

   24                                  | 24 - 27.75| = 3.75

   20                                  | 20 - 27.75| = 7.75

   36                                  | 36 - 27.75| = 8.25

   28                                  | 28 - 27.75| = 0.25

   43                                  | 43 - 27.75| = 15.25

   35                                  | 35 - 27.75| = 7.25

Now,

5.75 + 13.75 + 3.75 + 7.75 + 8.25 + 0.25 + 15.25 + 7.25 = 62

Therefore,

MAD = 62 / 8 = 7.75

Therefore, the mean absolute deviation is 7.75.

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The vector (5, -1, -6) is perpendicular to the plane that passes through the points P(1,2,-3), Q(2,-1,5), and R(-1,2,2).

To find a vector perpendicular to the plane that passes through the points P(1,2,-3), Q(2,-1,5), and R(-1,2,2), we can use the cross product of two vectors on the plane. By calculating the cross product of the vectors formed by PQ and PR, we can determine a vector that is perpendicular to the plane.

The vectors formed by the points P, Q, and R are PQ = (2-1, -1-2, 5-(-3)) = (1, -3, 8) and PR = (-1-1, 2-2, 2-(-3)) = (-2, 0, 5). To find a vector perpendicular to the plane, we take the cross product of PQ and PR.

The cross product of two vectors u = (u1, u2, u3) and v = (v1, v2, v3) is given by the vector w = (u2v3 - u3v2, u3v1 - u1v3, u1v2 - u2v1). Applying this formula, we have:

w = (1 * 5 - (-3) * 0, (-3) * (-2) - 1 * 5, 1 * 0 - (-3) * (-2))

= (5, -1, -6)

Therefore, the vector (5, -1, -6) is perpendicular to the plane that passes through the points P(1,2,-3), Q(2,-1,5), and R(-1,2,2).

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Answer:

x = 2

Step-by-step explanation:

subtract both sides by 5. left with 14=7x. divide both sides by 7. x=2

Answer:

Step-by-step explanation:

\(\sf 19 =5+7x\)

First, let's swap sides so that all variable terms are on the left hand side.

\(\sf 5+7x=19\)

Subtract 5 from both sides:

\(\sf 7x=19-5\)

Subtract 5 from 19:

\(\sf 7x=14\)

Divide both sides by 7:

\(\sf \cfrac{7x}{7} =\cfrac{14}{7}\)

\(\sf x=2\)

_____________________________________

Answer:

no photo

Step-by-step explanation:

we need a photo to decide if answer is correct or not

The formula for Permutation is,

The expression given is,

Given:

Plug in n = 9, r = 4

Simplify

Hence, the answer is 3,024.

The height of a cylinder with a 36-square-foot base and a 189-square-foot volume is 6.

The formula for the volume of a cylinder is given by V = \(\pi\)\(r^{2}\)h, where V is the volume, r is the radius of the base, and h is the height of the cylinder.

The area of the base of the cylinder is given by A = \(\pi\)\(r^{2}\), where A is the area of the base, r is the radius of the base.

We are given that the area of the base is 36, so we can write:

\(\pi\)\(r^{2}\)= 36

Solving for r, we get:

\(r^{2}\) = 36/\(\pi\)

r = \(\sqrt{36}/\pi\)

r ≈ 3.02

We are also given that the volume of the cylinder is 189, so we can write:

V = \(\pi\)\(r^{2}\)h = 189

\(\pi 3.02^{2} h\) = 189

h = 189 / \(\pi 3.02^{2}\)

h ≈ 6

Therefore, the height of the cylinder is approximately 6 units.

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The 95% confidence interval for the difference between the proportion of the population who would survive at least 15 years can be used to estimate the range within which the true difference lies.

It provides a measure of uncertainty around the point estimate. The confidence interval can be interpreted as follows: we are 95% confident that the true difference in proportions of the population who would survive at least 15 years falls within the calculated interval. To construct the confidence interval, we first need to obtain sample data from the population. Let's assume we have collected data from two independent samples. From Sample 1, we find that out of n1 individuals, x1 survive at least 15 years. Similarly, from Sample 2, we have n2 individuals, with x2 surviving at least 15 years. To calculate the confidence interval, we use the formula: CI = (p1 - p2) ± Z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)) Where p1 = x1 / n1 and p2 = x2 / n2 are the sample proportions, and Z is the critical value corresponding to the desired confidence level (in this case, 95%). The critical value is determined based on the standard normal distribution. Once we have the confidence interval, let's say [lower limit, upper limit], we can interpret it as follows: We are 95% confident that the true difference in proportions between the two populations who would survive at least 15 years lies between the lower limit and the upper limit. In other words, there is a high likelihood that the actual difference falls within this range. The confidence interval allows us to make inferences about the population based on our sample data. It provides a range of plausible values for the difference in proportions, taking into account the variability of the sample. The wider the confidence interval, the greater the uncertainty in our estimate. Conversely, a narrower interval indicates a more precise estimation.

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A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time. The speed of the car is 50 km/h. The speed of truck is 70 km/h.

You can determine an object's speed if you know how far it moves in a given amount of time. For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour (miles per hour).

Given,

A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time.

Let s represent the truck's speed and (s+20) represent the car's speed.

to determine each vehicle's time

Time = Speed / Distance

truck time = 350/s

Time in an automobile is 350/(s+20)

Truck time - car time = 2 hours

So,

(350/s) - [350/(s+20)] = 2

LCM is s(s+20)

[350(s+20) - 350s]/s(s+20) = 2

Cross multiplying,

350(s+20) - 350s = 2s(s+20)

Simplifying the equation,

350s + 7000 - 350s = 2s² + 40s

Now, we have quadratic equation to simplify,

2s² + 40s - 7000 = 0

Dividing the equation by 2

s² + 20s - 3500 = 0

Factorizing,

s= 50

s= -70 (impossible because of the sign)

Hence the truck's speed is s = 50 km/h.

The speed of the car is s + 20 = 70 km/h.

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Answer:a is the answer

Step-by-step explanation:

Answer:

25 workmen

Step-by-step explanation:

C = work completion

Half the number of days

6/5 (= 12/10) the hrs/day

½ × 6/5 × C = ⅗C

C/(⅗C) = 5/3

5/3 × 15 = 25

Answer:

\(\sqrt{29}\)

Step-by-step explanation:

\(\sqrt{(-3-2)^{2} + (4-6)^{2} } \\ -5^{2} + -2^{2} \\25 + 4 \\\sqrt{29}\)

Answer:

17 - 6j / 5

Step-by-step explanation:

19-12=7

19=100%

7=X

X=7×100/19

x=36,84

rounded 37%

Answer:

638 miles

Step-by-step explanation:

Key skills needed: Proportions, Unit Rates

1) The car can go 464 miles with 16 gallons of gasoline. We need to find how many miles each gallon gasoline results in.

To find the miles per gallon, we would do 464 miles/16 gallons --> 29 mpg

This means each gallon lets the car run 29 miles.

2) To find out how many miles 22 gallons is, we then do 29 x 22, which is 638 miles.

Therefore, your answer is 638.

Hope you understood and have a nice day!!

The quadratic equation does not have solutions where both x and y are integers.

Here we have the following quadratic equation:

2x^2 + 5y^2 = 14

We want to check that we can't solve this equation with x and y integers, to see that, we can start by isolating one of the variables:

2x^2 + 5y^2 = 14

5y^2 = 14 - 2x^2

y^2 = (14 - 2x^2)/5

y = ±√((14 - 2x^2)/5)

Now, trivially:

(14 - 2x^2)/5

Is not an integer for any integer value of x, and this happens because 5 is not a factor of 14, thus, for any integer value of x the value of y that we get is non integer, then there aren't two integers that solve the quadratic equation.

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