(c) Katrina recorded the average rainfall amount, in inches, for two cities over the course of 6 months. City A: {5, 2. 5, 6, 2008. 5, 5, 3} City B: {7, 6, 5. 5, 6. 5, 5, 6} (a) What is the mean monthly rainfall amount for each city? (b) What is the mean absolute deviation (MAD) for each city? Round to the nearest tenth. (c) What is the median for each city?

Answer: +24

Step-by-step explanation: To multiply (-8)(-3), remember that a negative times a negative is always a positive. So (-8)(-3) is +24.

Answer:

+24

Step-by-step explanation:

took quiz

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as Micah's workings is not attached. So, there's no way to determine where Micah's error is.

However, I'll solve for the vertex of the given function.

Given

\(y = -9.5x^2 + 47.5x + 63\)

Vertex, V is of the form:

\(V= (h,k)\)

Where

\(h = -\frac{b}{2a}\)

and

\(k = f(h)\)

Solving for h:

\(y = -9.5x^2 + 47.5x + 63\)

\(y = ax^2 + bx + c\)

So:

\(a = -9.5\)

\(b = 47.5\)

\(c = 63\)

\(h = -\frac{b}{2a}\)

\(h = -\frac{47.5}{2 * -9.5}\)

\(h = -\frac{47.5}{-19}\)

\(h = \frac{47.5}{19}\)

\(h = 2.5\)

Solving for k

\(k = f(h)\)

\(k = f(2.5)\)

Substitute 2.5 for x in \(y = -9.5x^2 + 47.5x + 63\)

\(k = -9.5 * 2.5^2 + 47.5* 2.5 + 63\)

\(k = -59.375+ 118.75 + 63\)

\(k = 122.375\)

Hence:

The vertex is

\(V = (2.5,122.375)\)

Answer:

if ur doing savvas

Step-by-step explanation:

answer for the first one is:
Micah used the wrong sign for b in the formula x=-b/2a

answer for the second one is:
vertex is = (-2.5, 122.375)

Answer:

Step-by-step explanation:

12/13=0.92307692307

Answer:

Step-by-step explanation:

37

Answer: 37

Step-by-step explanation:

To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode. All you have to do is look for the number that occurs in any of those the lists the most and that number is the mode.

Answer:

good luck :)

Step-by-step explanation:

Step-by-step explanation:

the answer is a

Answer:

3/2

Step-by-step explanation:

The formula for this is y= mx+b, where m= slope and b= y-intercept

y= mx+b

m= 3/2

b= 9

Therefore, the slope is 3/2

Answer:

100

Step-by-step explanation:

its impossable

The new volume of the cylinder is $100$ cubic feet.

Let the original radius and height of the cylinder be $r$ and $h$, respectively. Therefore, the original volume of the cylinder is given by $\pi r^2 h = 100$. After the radius decreases by $10%$ and the height increases by $10%$, the new radius and height become $0.9r$ and $1.1h$, respectively. The new volume of the cylinder can be calculated as $\pi (0.9r)^2 (1.1h) = 0.891\pi r^2 h$. Since $0.891\pi r^2 h = 100$, the new volume of the cylinder is $100$ cubic feet.

Therefore, the new volume of the cylinder is the same as the original volume, i.e., $100$ cubic fee

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The following statements are true: Shipping cost is 12.99 if the customer's order is less than or equal to $40.

Free shipping if the customer's order is $1000.By spending more than $500, customers save on shipping costs by paying the least.

The table rate module calculates the shipping rate depending on the order's destination and cart weight.

The shipping rate is calculated using the shipping table and the calculation type used in the module.

Therefore, the following statements are true:

Shipping cost is 12.99 if the customer's order is less than or equal to $40.

If the customer's order is less than or equal to $40, the shipping cost will be 12.99, as per the given shipping table.

Shipping cost is 9.99 if the customer's order is $50.

If the customer's order is $50, the shipping cost will be 9.99, as per the given shipping table.

Shipping cost is free if the customer's order is $1000.

If the customer's order is $1000, the shipping cost will be free, as per the given shipping table.

By spending more than $500, customers save on shipping costs by paying the least.

If the customer spends more than $500, they save on shipping costs by paying the least, as per the given shipping table.

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The probability that a computer will not crash in a period of 4 months is 0.632.There is a 75% chance that the computer will not crash in a period of 4 months.

To solve this problem stepwise, first calculate the probability that the computer will crash in a given month. This can be done by using the Poisson distribution. The probability that the computer will crash in a given month is 0.0333.

Next, calculate the probability that the computer will not crash in a given month. This is simply 1 - 0.0333, or 0.9667.

Now, to calculate the probability that the computer will not crash in a period of 4 months, simply take the probability of not crashing in a given month and raise it to the 4th power. This gives us a probability of 0.632.

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The correct missing statement and the reason is NP = NO + OP by Segment Addition Property

Given: MONP

Prove: MN = OP

The Segment Addition Property states that,

When three locations A, B, and C are on the same line and point B is located between points A and C, the length of the line segment AC is equal to the sum of the lengths of the three line segments AB and BC.

In mathematical notation, this property can be represented as:

AB + BC = AC

Statements                                                  Reasons

1. MO = NP                                                     1. Given

2. MO = MN+ NO                                     2. Segment Addition Property

3. NP = NO + OP                                      3. Segment Addition Property

4. MN+NO = NO+ OP                              4. Substitution Property

5. MN = OP                                              5. Subtraction Property of Equality

Hence the correct option is 2nd.

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Answer:

0.9144 or 0.9 (rounded)

Step-by-step explanation:

0.3048*3= 0.9144  (0.9 rounded up)

or

0.305*3= 0.915   (0.9 rounded up)

Hope this helped! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

Have a nice day! ( ﾟдﾟ)つ Bye

The fraction 1/5 as a percentage is 20 %.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Start by changing the fraction to a decimal by diving the numerator by the denominator 1 divided by 5 Which equals 0.2

Change the decimal to a percent by multiplying it by 100%, or moving the decimal to two places. That gives you 20%.

Another way of thinking about it is multiplying the numerator by 100%, then dividing that by the denominator 100%, 1 divided by 5

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On a scale drawing of a basketball court, 1 inch equals 8 feet the actual area of the basketball court if the scale drawing is 11. 75 inches by 6. 25 inches will be 4,700 square feet.

Given:

To solve the given question we will assume the court is rectangular in shape so we will solve by using formula of Area of rectangle

\(\rm Area \;of\;rectangle\;= l\times b\)

Where, l=length

            b=breadth

According to the given question,

    \(\rm Area = 94\; feet \times 50\; feet\\\\ = 4,700 \;square\; feet.\\\)

Therefore, Area of the basketball court will be 4,700 square feet.

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9514 1404 393

Answer:

  y = (x + 7)(x − 7)

Step-by-step explanation:

If 'a' is a zero, then (x -a) is a factor.

If 7 and -7 are zeros, then (x -7) and (x +7) are factors. The appropriate choice is ...

  y = (x + 7)(x − 7)

Answer:

D

Step-by-step explanation:

y = (x+7) (x-7)

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

40/50

The method that cannot be used to show congruency of two triangles is the method of "angle-angle-angle" (AAA).

The AAA method states that if the corresponding angles of two triangles are congruent, then the triangles themselves are congruent. However, this method is not valid for proving congruency because it does not take into account the lengths of the sides of the triangles.

To prove congruency, we typically use one of the following valid methods:

Side-Side-Side (SSS): If the three sides of one triangle are congruent to the corresponding three sides of another triangle, then the triangles are congruent.

Side-Angle-Side (SAS): If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Angle-Side-Angle (ASA): If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Side-Angle-Angle (SAA): If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are not necessarily congruent. This method alone is not sufficient to prove congruency.

Therefore, the method that cannot be used to show congruency of two triangles is the Angle-Angle-Angle (AAA) method.

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Answer:

The area of a semicircle is half of the area of the circle. As the area of a circle is πr2. So, the area of a semicircle is 1/2(πr2 ), where r is the radius. The value of π is 3.14 or 22/7.

Answer:

-7

Step-by-step explanation:

(x-5)/2=-6

x-5=-12

x=-7

Answer:

x = -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

(x - 5)/2 = -6

Step 2: Solve for x

Answer:

1/18

Step-by-step explanation:

1/6 * 1/3

1 *1 = 1

6 * 3 = 18

1/18

Answer:

0.05555555555555

Step-by-step explanation:

You can try rounding it

Answer: The equation of a line in slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Nolan’s line has a slope of 2 and a y-intercept of 3, so the equation is y=2x+3

Step-by-step explanation: To graph a line using the slope and the y-intercept, we can start by plotting the point (0,b) on the y-axis, where b is the y-intercept. This is the point where the line crosses the y-axis. Nolan’s line has a y-intercept of 3, so he plots the point (0,3) on the y-axis.

Next, we can use the slope to find another point on the line. The slope is the ratio of the change in y to the change in x, or m=y/x. Nolan’s line has a slope of 2, which means that for every unit increase in x, there is a 2-unit increase in y. To find another point on the line, we can move one unit to the right from (0,3) and then two units up. This gives us the point (1,5). We can draw a line through these two points to graph Nolan’s line. To find the equation of Nolan’s line, we can use the slope-intercept form: y=mx+b. We already know that m is 2 and b is 3, so we can substitute these values into the equation: y=2x+3. This is the equation that represents Nolan’s line.

Hope this helps, and have a great day! =)

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

Explanation:

Subtract the second equation from the first one

\(\ \ \ \ 3x+3y-5z = 4 \ \ ... \text{ eq 1}\\-(4x-4y+z = -1) \ \ ... \text{ eq 2}\\---------\\\ \ -x+7y-6z = 5\)

Let's call that result equation 4.

Now focus on equation 3 and equation 4

equation 3 is   -x+7y-6z = 2

equation 4 is   -x+7y-6z = 5

Note how the left hand sides are identical, but the right hand sides are different. This means that we have an inconsistent system with no solutions. No matter what numbers we pick for x,y,z, there is no way to make all three given original equations to be true.

The monthly interest rate you will be paying is approximately $2,583.33, and (b) the alternative loan is less attractive than the one from the car dealer, with the lender needing to charge an interest rate of approximately 2.31% to match the car dealer's rate.

(a) Calculation of the interest rate you will be paying every month:

Given:

The car will cost = $150,000

Amount to be paid upfront = 40%

Interest rate per annum = 2%

Loan tenure (no of years) = 5 years

Loan tenure (no of months) = 5 x 12 = 60 months

Using the formula to calculate the interest rate you will be paying every month:

Interest Rate = (Loan amount x interest rate per annum x Loan tenure (no of years) + loan amount) / Loan tenure (no of months)

Substituting the given values in the formula:

Interest Rate = (150000 x 2 x 5 / 100 + 150000) / 60

Interest Rate = (15000 + 150000) / 60

Interest Rate ≈ $2,583.33

Therefore, the interest rate that you will be paying every month is approximately $2,583.33.

(b) (i) You are able to secure financing for your car from another source. You will have to pay 3% per annum on this loan. The lender requires you to pay monthly for 5 years. Is this loan more attractive than the one from the car dealer?

Given:

Interest rate per annum = 3%

Loan tenure (no of years) = 5 years

Loan tenure (no of months) = 5 x 12 = 60 months

Using the formula to calculate the interest rate you will be paying every month:

Interest Rate = (Loan amount x interest rate per annum x Loan tenure (no of years) + loan amount) / Loan tenure (no of months)

Substituting the given values in the formula:

Interest Rate = (150000 x 3 x 5 / 100 + 150000) / 60

Interest Rate = (22500 + 150000) / 60

Interest Rate ≈ $2,916.67

The monthly payment amount is higher than the car dealer's, so this loan is not more attractive than the one from the car dealer.

(ii) Suppose the lender requires you to set aside $10,000 as security to be deposited with the lender until the loan matures and repayment is made. What interest rate must the lender charge for it to be equivalent to the interest rate charged by the car dealer?

Let x be the interest rate that the lender must charge.

Using the formula of compound interest, we can find the interest charged by the lender as follows:

150000(1 + x/12)^(60) - 10000 = 150000(1 + 0.02/12)^(60)

150000(1 + x/12)^(60) = 150000(1.0016667)^(60) + 10000

(1 + x/12)^(60) = (1.0016667)^(60) + 10000/150000

(1 + x/12)^(60) = (1.0016667)^(60) + 0.066667

Taking the natural logarithm on both sides:

60(x/12) = ln[(1.0016667)^(60) + 0.066667]

x ≈ 2.31%

Thus, the lender must charge approximately a 2.31% interest rate to be equivalent to the interest rate charged by the car dealer.

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Answer:

mijjujihnnijnihnknijnlkuhiy7g7ygi7yygub7tgiuhguyg

Step-by-step explanation:

So, the last three digits of m*n is 001.

Let p be the probability that Alfred wins given that he goes first. Then, the probability that Bonnie wins given that she goes first is 1-p. Therefore, the probability that Alfred wins the second game given that Bonnie went first in the first game is 1-p. Similarly, the probability that Alfred wins the third game given that he went first in the second game is p, and so on.

Therefore, the probability that Alfred wins the sixth game given that he went first in the first game is:

p(1-p)(1-p)(p)(p)(p) = p^4 (1-p)^2

Since m and n are relatively prime, the last three digits of m*n are the last three digits of p^4 * (1-p)^2, which is the last three digits of p^4 and the last three digits of (1-p)^2. Since p is the probability of winning given that you go first, it is a number between 0 and 1. Therefore, the last three digits of p^4 and (1-p)^2 are 001, resulting in the last three digits of the final answer being 001.

Therefore, the last three digits of m*n is 001.

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Check the picture below.

since the triangle is equilateral, is also equiangular.

\(a\sqrt{3}=\sqrt{6}\implies a=\cfrac{\sqrt{6}}{\sqrt{3}}\implies a=\cfrac{\sqrt{2\cdot 3}}{\sqrt{3}}\implies a=\cfrac{\sqrt{2}\sqrt{3}}{\sqrt{3}}\implies a=\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ 2a=x\implies {\Large \begin{array}{llll} 2\sqrt{3}=x \end{array}}\)

The wind speed and plane speed is 11 and 96  mph.

It is required to find the speed of the plane in still air and the speed of the wind.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Let plane speed be "p".

Let wind speed be "w".

According to given question we have,

p + w = 107 mph

p - w =  85 mph

By the method of elimination we get,

2p = 192

p = 96 mph

The plane speed is 96 mph.

Solve for "w":

p + w = 107

96 + w = 107

w = 11 mph

The wind speed is  11 mph.

Therefore, the wind speed and plane speed is 11 and 96  mph.

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Answer:

almost! for the ones you're missing:

for y=1/2x-3 slope is 1/2, y intercept is -3, x intercept 1/2, and it is linear.

for y=-2x the slope is 2, y intercept would be zero

for the ones who don't have any y intercept defined, it would automatically be zero by the way your teacher might take points off for that