MATHEMATICS COLLEGE

What is the slope of the line that passes through (37, -9) and (36, 81)

Answers

Answer 1

Answer:

Answer:

m= -90 is your answer

Step-by-step explanation:

For future reference, you should try using Symbolab, it works really well and I use it ALL the time!

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a rectangular parking lot has length that is greater than the width the area of the parking lot is 160 square yards find the length and the width use formula area=length*width the parking lot length

Answers

let 'w' represent the width of the parking lot, then 'w+6' represents its length

area = width * length

160 = w * (w+6)

solving for 'w' we have a positive value of w=10

10+6=16

the width of the parking lot is 10 yards, the length of the parking lot is 16 yards

Final answer:

To find the length and width of a rectangular parking lot given its area, we can use the formula Area = Length * Width. We can set up an equation using this formula and solve for the length and width by factoring or using the quadratic formula.

Explanation:

To find the length and width of the rectangular parking lot, we can use the formula for the area of a rectangle: Area = Length * Width. We are given that the area is 160 square yards. Let's assume the width of the parking lot is x yards. Since the length is greater than the width, we can say that the length is x + k yards, where k is some positive value.

Substituting the values into the formula, we get:
160 = (x + k) * x

To solve for x, we can rearrange the equation into a quadratic equation:
x^2 + kx - 160 = 0

This equation can be factored or solved using the quadratic formula to find the values of x and k, which represent the width and length of the parking lot, respectively.

Learn more about Solving for length and width of a rectangle here:

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The Range of both functions will be ?A)the set of natural numbers
B)the set of integers
C)all real numbers
D)the set of whole numbers
E)the set of rational numbers

Answers

Answer:

it is b

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Find reason and statements

Answers

Answer:

Missing reason/statements:

R1, R2, R3 - Given
S4. ∠1 ≅ ∠3
R4. Transitive property
R5. Definition of congruence
S6. m∠1 = 120°
R6. Substitution

The computer that controls a bank's automatic teller machine crashes a mean of 0.5 times per day. What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.

Answers

Answer:

0.3216 = 32.16% probability that, in any seven-day week, the computer will crash less than 3 times

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = (e^(-\mu)*\mu^(x))/((x)!)$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval

Mean of 0.5

7-day week, so $\mu = 7*0.5 = 3.5$

What is the probability that, in any seven-day week, the computer will crash less than 3 times?

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

$P(X = x) = (e^(-\mu)*\mu^(x))/((x)!)$

$P(X = 0) = (e^(-3.5)*(3.5)^(0))/((0)!) = 0.0302$

$P(X = 1) = (e^(-3.5)*(3.5)^(1))/((1)!) = 0.1057$

$P(X = 2) = (e^(-3.5)*(3.5)^(2))/((2)!) = 0.1850$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0302 + 0.1057 + 0.1857 = 0.3216$

0.3216 = 32.16% probability that, in any seven-day week, the computer will crash less than 3 times

Final answer:

To find the probability that the computer will crash less than 3 times in a seven-day week, we can use the binomial probability formula.

Explanation:

To find the probability that the computer will crash less than 3 times in a seven-day week, we can use the binomial probability formula. The formula for binomial probability is:

$P(X = k) = C(n, k) * p^k * (1-p)^{(n-k)$

Where:

P(X = k) is the probability of exactly k successes
C(n, k) is the combination function for choosing k items from a set of n
p is the probability of success for each individual trial
n is the number of trials

In this case, the mean number of crashes per day is 0.5, which means the probability of a crash in a single day is 0.5. Since we're interested in the probability of less than 3 crashes in a seven-day week, we can calculate P(X < 3) using the binomial probability formula with n = 7, p = 0.5, and k = 0, 1, 2:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

Using the binomial probability formula, we can calculate:

$P(X = 0) = C(7, 0) * 0.5^0 * (1-0.5)^(^7^-^0)\nP(X = 1) = C(7, 1) * 0.5^1 * (1-0.5)^(^7^-^1)\nP(X = 2) = C(7, 2) * 0.5^2 * (1-0.5)^(^7^-^2)$

Adding these probabilities together will give us the probability of less than 3 crashes in a seven-day week.

Rounding the final probability to four decimal places, we get the probability that the computer will crash less than 3 times in a seven-day week.

Learn more about Binomial probability here:

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Roy is 11 years old and his uncle is 59 years old. How many years ago was Roy’s uncle 7 times as old as Roy?

Answers

Answer:

answer : 3 years ago

Step-by-step explanation:

Let x years ago.

59−x=7(11−x)

59−x=77−7x

6x=18

x=3

=3 years ago

a nonagon is a nine-sided polygon, if a regular nonagon was rotated about its center point, which of the following angels of rotation would not map the figure onto itself

Answers

The angles of rotation that would not map the figure onto itself will not be the multiple of 40 and this can be determined by evaluating the possible angle of each rotation.

Given :

A nonagon is a nine-sided polygon.
A regular nonagon was rotated about its center point.

To determine angels of rotation that would not map the figure onto itself, first, evaluate the possible angle of each rotation.

To determine the possible angle of each rotation the following calculation can be used:

The possible angle of eachrotation is the ratio of the complete rotation to the number of sides.

$\rm Each \;Rotation = (360^\circ)/(9)$