The following 10 scores were input in the gradebook for Prof. Thompson's class.74, 75, 78, 79, 80, 81, 82, 84, 84, 87Identify all values that are outliers.

Answer:

He rode his bike\(\frac{36}{5}\) mi

Step-by-step explanation:

\(\frac{7}{4}\) x \(\frac{4}{5}\) Simplify

7 x \(\frac{1}{5}\) = \(\frac{36}{5}\)

Answer:7/6

Step-by-step explanation:7/8 * 4/3=1 1/6       Simplest form would be 7/6

Answer:

1.25

Step-by-step explanation:

you have to take the 9 pages and divide by 7 and then divide that by 60 and u get 1.25

Answer:

4.25 $

Step-by-step explanation:

2.75 × 3 = 8.25

8.25 + 7.50 = 15. 75

30 - 17.75 = 14.25

14.25 - 10 = 4.25

The bag of candy costs $4.25

Answer:

The Answer Is A/3.82

Step-by-step explanation:

i got it by subtracting the sum of 3 and 17.8 off 24.62. Hope this helps!

Answer:

Sinx = c/b

cosx = a/b

tanx = c/a

Step-by-step explanation:

B is hypotenuse, a is adjacent, c is opposite of angle x.

Sin = opposite/hypotenuse

cos = adjacent/hypotenuse

tan = opposite/adjacent

Answer:

4/1 = 2240/x

Step-by-step explanation:

students : parking spaces = 4 : 1

4/1 = 2240/x

Answer:

4/1 = 2240/x

Step-by-step explanation:

pls tell me if wrong have a good day/night<3

Answer:

D

Step-by-step explanation:

I had this question on a test and D was right

it's worded the exact same way

Answer:

a.

providing a force to propel the snowboarder down a slope to gain speed

The guy above me is a fool

Step-by-step explanation:

After making payments for 15 years, the amount still owed on the mortgage would be approximately $145052.36.

To determine how much will still be owed after making payments for 15 years, we can use the formula for the remaining balance on a mortgage:

Remaining balance = P ((1 + r)ⁿ - (1 + r)ᵇ) / ((1 + r)ⁿ - 1)

where:

P = the initial loan amount (in this case, $219,000)

r = the monthly interest rate (which is the annual interest rate divided by 12)

n = the total number of monthly payments (which is 30 years times 12 months per year, or 360 months)

b = the number of monthly payments made so far (which is 15 years times 12 months per year, or 180 months)

First, we need to calculate the monthly interest rate:

r = 4.5% / 12 = 0.00375 = 0.375%

Next, we can plug in the values to get:

Remaining balance = $219,000 ((1 + 0.00375)³⁶⁰- (1 + 0.00375)¹⁸⁰) / ((1 + 0.00375)³⁶⁰ - 1)

= $145052.36

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Answer:

Answer: 2b+3 = 7

=================================================

Work Shown:

b = unknown number

2b = 2 times a number

2b+3 = the sum of 2 times a number and 3

2b+3 = 7, since the expression above is set equal to 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the cannonball is fired at an angle of 45°, it will have the same horizontal and vertical velocities.

Let x be the distance it travels before it is 600 feet above ground. At this point, its vertical displacement will be 600 feet, and we can use the formula for vertical displacement:

y = v0*t + (1/2)at^2

Since there is no initial vertical velocity and we are ignoring gravity, a = 0 and the equation simplifies to:

y = 0*t + 0 = 600

Solving for t, we get:

t = sqrt(2y/a) = sqrt(2*600/0) = undefined

This means that the cannonball will never be 600 feet above ground if we ignore gravity. Since this is not realistic, we cannot answer this question without additional information or by assuming that gravity is acting on the cannonball.

a) The probability that the computer will be fixed by either A or B is 58%.

b) The probability that it was fixed by B is 57.14%

Given data:

a)

To find the probability that the computer will be fixed by either A or B, we can use the principle of addition for probabilities.

The probability that A can fix the computer is 30% or 0.30, and the probability that B can fix the computer if A cannot is 40% or 0.40.

Therefore, the probability that either A or B can fix the computer is the sum of these probabilities:

P(A or B) = P(A) + P(B if A cannot) = 0.30 + (0.70 * 0.40) = 0.30 + 0.28 = 0.58

Therefore, there is a 58% probability that the computer will be fixed by either A or B.

b)

Let's denote event A as A fixing the computer and event B as B fixing the computer.

P(A) = 0.30 (probability A can fix the computer)

P(B|A') = 0.40 (probability B can fix the computer given that A cannot)

To find P(B|A), the probability that B fixes the computer given that it was fixed, use Bayes' theorem:

P(B|A) = (P(A|B) * P(B)) / P(A)

Since the computer is fixed, P(A) + P(A') = 1, so P(A) = 1 - P(A') = 1 - 0.30 = 0.70

P(B|A) = (P(A|B) * P(B)) / P(A)

P(B|A) = (1 * 0.40) / 0.70

P(B|A) = 0.40 / 0.70

P(B|A) ≈ 0.5714

Hence, if the computer is fixed, there is a 57.14% probability that it was fixed by B.

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The maximum value of the original data set is 109.

To determine the maximum value of the original data set from the given stemplot, we need to look at the rightmost digits in each stem and identify the highest value.

Looking at the stemplot:

O 10 | 0 0 8 9 8 9 0 0 0

0 20 | 5 4 7 9 6

0 30 | 1 4 6 7 7 9 7

0 40 | 0 0 2 5 5 7 7 9 9 8

0 50 | 1 2 2 2 3 4 5 5 7 8 9 9

0 60 | 0 0 0 3 3 3 3 6 8

The rightmost digits in each stem represent the original data values. We can see that the highest value occurs in the stem "10" with a rightmost digit of "9".

Therefore, the maximum value of the original data set is 109.

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1598 cm square is the area of the container.

According to the statement

we have given that the container is rectangular prism

And Length of rectangular prism is 34cm

Width of rectangular prism is 17 cm

Height of rectangular prism is 20 cm

we use the below written formula to find the surface area

Surface area formula A=(wl+hl+hw)

To find the surface area of the container.

Substitute the values of Length, width and height in the formula then

A=(wl+hl+hw)

A=((17)(34)+(20)(34)+(20)(17))

After solving the values

A=(578+680+340)

A= 1598

So, 1598 cm square is the area of the container.

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l x -5 l ≤ 8

There are two results:

x-5 ≤ 8 and x-5 ≥ -8

Solve each inequality

x-5 ≤ 8

x ≤ 8+5

x≤ 13

x-5 ≥ -8

x ≥ -8+5

x ≥ -3

Solution:

-3 ≤ x ≤ 13

To find the tangent line of the graph:

 ⇒ must find:

Let's find the point at which the tangent line touches the graph:

   At x = -1,

           \(y = ((-1)^3+2)^5=(-1+2)^5=1^5=1\)

     Point: (-1,1)

Let's find the slope of the tangent line

  ⇒ get the derivation of function than plug (-1) in the x-position to get

       the exact slope

          \(\frac{d}{dx}(x^3+2)^5=5(x^3+2)^4*\frac{d}{dx}(x^3+2)=5(x^3+2)^4*3x^2\\ \\ 5((-1)^3)+2)^4*3(-1)^2=5(-1+2)^4*3*1=5*(1)^4*3=5*1*3=15\)

    Slope of tangent line: 15

Now put all the calculated value into the point-slope form:

    \((y-y_{0})=m(x-x_{0} )\)

   So:

     \((y-1)=15(x+1)\\y - 1= 15x + 15\\y = 15x + 15 + 1\\y = 15x + 16\)

Thus the tangent line's equation is y = 15x + 16

Answer: y = 15x + 16

Hope that helps!

Answer: 0.02655

Step-by-step explanation:

Explanation: The formula for finding the probability of no successes in a binomial experiment is given by (1 - p)^n, where p is the probability of success in a single trial and n is the number of trials. In this case, p = 0.30 and n = 6. So, the probability of no successes is (1 - 0.30)^6 = 0.02655.

The solution for x in the equation 3 = 5/(2 - x) is 11/3

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

3 = 5/(2 - x)

Cross multiply the equation

so, we have the following representation

3(2 - x) = 5

This gives

2 - x = 5/3

So, we have

x = 2 + 5/3

Evaluate the sum of the like terms

x = 11/3

Hence, the solution for x in the equation is 11/3

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Using the Pythagoras theorem, the longest leg has the length of 24 feet.

Given that,

A ladder of length (2x+6) feet is positioned x feet from a wall.

Height of the ladder = (2x + 6) feet

Distance of ladder from the wall = x feet

Height of the wall that the ladder is placed = (2x + 4) feet

These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.

Longest leg is (2x + 4) feet

Using the Pythagoras theorem,

(2x + 6)² = (2x + 4)² + x²

4x² + 24x + 36 = 4x² + 16x + 16 + x²

4x² + 24x + 36 = 5x² + 16x + 16

x² - 8x - 20 = 0

(x - 10) (x + 2) = 0

x = 10 or x = -2

x = 2 is not possible.

So x = 10

Longest leg = 2x + 4 = 20 + 4 = 24 feet

Hence the length of the longest leg is 24 feet.

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Answer:

(x + 4)^2 + (y + 7)^2 = 36

Step-by-step explanation:

The given information describes a circle with its center at (-4, -7) and tangent to the vertical line x = 2. To determine the radius of the circle, we need to find the distance between the center and the tangent line.

The distance between a point (x1, y1) and a line Ax + By + C = 0 is given by:

d = |Ax1 + By1 + C| / sqrt(A^2 + B^2)

In this case, the equation of the line is x = 2, which can be written as 1x + 0y - 2 = 0. Therefore, A = 1, B = 0, and C = -2. The center of the circle is (-4, -7), so x1 = -4 and y1 = -7. Substituting these values into the formula, we get:

d = |1*(-4) + 0*(-7) - 2| / sqrt(1^2 + 0^2)

d = |-6| / sqrt(1)

d = 6

Therefore, the radius of the circle is 6 units. The equation of a circle with center (h,k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values we have found, we get:

(x + 4)^2 + (y + 7)^2 = 36

This is the equation of the circle that satisfies the given conditions.

The growth constant is 1.0986 and the trout population will increase to 14600 after 2.1 years. The result is obtained by using the logistic equation.

The increase of population can be found by using the logistic equation. It is

\(P(t) = \frac{K}{1 + Ae^{-kt} }\)

Where

Sunset Lake is stocked with the rainbow trout. We have

Find the growth constant k and time t when P(t) = 14600!

A = (K - P₀)/P₀

A = (28000 - 2800)/2800

A = 25200/2800

A = 9

After 1 year, we have 7000 rainbow trout. The growth constant is

\(7000 = \frac{28000}{1 + 9e^{-k(1)} }\)

\(1 + 9e^{-k} = 4\)

\(9e^{-k} = 3\)

\(e^{-k} = \frac{1}{3}\)

k = - ln (1/3)

k = 1.0986

Use k value to find the time when the population will increase to 14600!

\(14600 = \frac{28000}{1 + 9e^{-1.0986t} }\)

\(1.9178 = 1 + 9e^{-1.0986t}\)

\(0.9178 = 9e^{-1.0986t}\)

\(\frac{0.9178 }{9} = e^{-1.0986t}\)

\(t = \frac{ln \: 0.10198}{-1.0986}\)

t = 2.078

t ≈ 2.1 years

It is in another 1.1 years after t = 1.

Hence, the growth constant k is 1.0986 the population will increase to 14600 when t is 2.1 years.

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Answer:

ummm the answer is very simple

The answer is 0/6

Step-by-step explanation:

\( \frac{1}{2 \times 3} - \frac{1}{6} \)

\( \frac{1}{6} - \frac{1}{6} \)

\(1 - 1 = \frac{0}{6} \)

Answer:

a^2 + b^2 = c^2

8^2 + 15^2 = c^2

64 + 225 = c^2

289 = c^2

17 = c

The hypotenuse is 17.

Brainliest? ;)

The solution of the equation 4x - 3  = 5 is not extraneous .

Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.

Therefore, let's solve the equation to know whether it is extraneous solution.

Hence,

4x - 3  = 5

add 3 to both sides of the equation

4x - 3 + 3 = 5 + 3

4x = 8

divide both sides of the equation by 4

4x / 4 = 8 / 4

x = 2

Therefore, it is not extraneous solution.

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The values of {m} that is greater than 4.6 represent the solution of the given inequality.

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

The given inequality is -

5m - 7 > 16

Adding 7 on both sides, we get -

5m - 7 + 7 > 16 + 7

5m > 23

m > 23/5

m > 4.6

Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.

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Answer:

Store A is 2 dollars greater than store B

Step-by-step explanation:

Store A                        Store B

1 : 0.70                           1 : 0.60

20 :  14                            20: 12

Hope that helps!

Answer:

The smaller number in 0.01

Step-by-step explanation:

To find this answer, just take the fraction and find the quotient of both numbers.

1.789/178 = 0.01005056179

Now take the quotient and compare it to 0.05.

Is 0.01 larger or 0.05 - the answer is 0.01.

Answer:

85/100*x=51

Step-by-step explanation:

85x=5100

The mistake is on the second line of her work.

She wrote -2x + 4 when it should have been -2x -4 because she multiplied -2 by 2 the 4 would be negative: -2 x 2 = -4

Then adding 4 to the 7, x would be 11

Answer: She’s wrong because on the second line, she should’ve put -2x-4 instead of -2x+4 . X equals 11 because if you add 4 to 7 that’s what you’ll get ,

Step-by-step explanation:

The total amount that Latoya ended up paying for the machinery, was $ 13, 080 .96

The amount of interest that Latoya paid was $ 980.96

The total amount paid by Latoya for the machinery can be found as :

= Down payment of the machinery + ( Monthly payments x Number of months per year x Number of years )

= 1, 800 + ( 313. 36 x 12 x 3 )

= $ 13, 080 .96

The total interest paid on the loan was :

= ( Monthly payments x Number of months per year x Number of years ) - Worth of the machine - down payment

= ( 313. 36 x 12 x 3 ) - 12, 100 - 1, 800

= $ 980.96

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The cross-sectional area of the cylinder with a base diameter of 44cm is approximately 1520.5 cm².

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The cross-sectional area of a cylinder is expressed as;

Cross-sectional area A = πr²

From the diagram:

The dameter of the base of the base of the cylinder is 44cm.

We can determine the radius by dividing the diameter by 2:

Radius r = 44 cm / 2

Radius r = 22 cm

Now, plug the value of the radius into the formula to find the cross-sectional area:

Cross-sectional area A = πr²

Cross-sectional area A = π(22 cm)²

Cross-sectional area A = 484π cm²

Cross-sectional area = 1520.5 cm²

Therefore, the cross-sectional area is approximately 1520.5 cm².

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