The average scores on Mrs. Wilson's test and Mr. Lewandowski's test were normally distributed on the last Algebra 2 test they gave. The average in my class Mrs. Wilson's class, was 86 with a standard deviation of 2. The average in my friend's class, Mr. Lewandowski's class was an 82 with a standard deviation of 2. If I made an 88 on the test and my friend made an 85 on their test, who had the better score relative to the rest of their class?

Answer: 49Watt

Step-by-step explanation:

The formula for power is:

Power = Work/Time

where,

Work = 245 Joules

Time = 5 seconds

Power = Work / Time

= 245/5

= 49Watt

Therefore, the power required to lift the rock is 49W.

Answer:

c

Step-by-step explanation:

given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition y = 6.5 when x = 1.3

6.5 = 1.3k ( divide both sides by 1.3 )

5 = k

y = 5x ← equation of variation

Answer: The measure of a central angle is twice as big as the measure of an inscribed angle IF they intercept the same arc on a circle

Step-by-step explanation: See photo. A central angle’s vertex is at the center of the circle. The measure of a central angle is equal to the measure of the included arc. An inscribed angle’s vertex lies on the circle. The measure of an inscribed angle is equal to half the measure of the included arc. Therefore the measure of the central angle is double the measure of the inscribed angle that intercept the same arc on a circle

The measure of a central angle is twice the measure of an inscribed angle, they intercept the same arc on a circle.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

A central angle’s vertex is at the center of the circle. The measure of a central angle is equal to the measure of the included arc.

An inscribed angle’s vertex lies on the circle. The measure of an inscribed angle is equal to half the measure of the included arc.

Therefore, the measure of the central angle is double the measure of the inscribed angle that intercept the same arc on a circle.

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Answer: x= 23

Step-by-step explanation:

Answer:

x=176.78

y=262.28

z=176.77

When the four -  digit numeral is divisible by nine is given by 3AA1 the digit A represents 7

A number itself is divisible by 9 if its digit's sum is also divisible by 9.

In mathematics, multiples are the results of multiplying an integer by a given number. number divisible by 9 is multiple of 9

using the above property we have that

3 + A + A + 1 = 9, OR 18, OR 27

4 +2A = 9, OR 18, OR 27

assuming 18

2A = 18 - 4

2A = 14

A = 7

hence the number is 3771

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Answer:

151/6

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

12 more tells you that this adds 12 dollars and 6 times tells you that it is 6x so 12+6x=252

The length of the guy wire is 48.87 m.

To find the length of the guy wire, you can use the formula for the length of a side of a right triangle (the Pythagorean theorem): [tex]c = sqrt(a^2 + b^2)[/tex]. In this case, c is the length of the guy wire, a is the distance from the base of the tower to the point where the guy wire is attached to the ground (48 m), and b is the distance from the point where the guy wire is attached to the ground to the top of the antenna.

To find b, you can use the tangent function: [tex]tan(14°) = b / 48.[/tex]

Solving for b gives b = 6.78 m

Then, length of wire can be calculated as

[tex]c = sqrt(48^2 + 6.78^2)[/tex]

[tex]c = 48.87 m (approx)[/tex]

Rounding it to the nearest hundredth of a meter, the length of the guy wire is 48.87 m.

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a)  The maximum mortgage amount they could afford to borrow from the bank, if all the other conditions were the same =  $369,181.93.

b)  The total amount that would be paid to the lender over 25 years = $540000

To find the maximum mortgage amount they could afford to borrow if they could only pay $1800.

Here, future value = 0

number of periods = 25 years

                                = 25 × 12 months per year

                                = 300

payment amount = -1800 dollars

interest rate = 4.25% per year

                    = 0.3542% per month

the maximum mortgage amount they could afford = $369,181.93.

And the total payments would be equal to 300 × 1800 = 540000

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The complete question is:

Aya and Harumi would like to buy a house and their dream house costs $500,000. They have $50,000 saved up for a down payment but would still need to take out a mortgage loan for the remaining $450,000 and they're not sure whether they could afford the monthly loan payments. The bank has offered them an interest rate of 4.25%, compounded monthly.

What if Aya and Harumi could only afford a monthly payment of $2,000?

What would be the maximum mortgage amount they could afford to borrow from the bank if all the other conditions were the same?

What is the total amount that would be paid to the lender over 25 years?

Answer:

B. 11/16

Step-by-step explanation:

tossing a coin 4 times, with 2 possible outcomes each time: 2 x 2 x 2 x 2 = 16 total possible outcomes. All but 5 have at least 2 tails.

If the ratio of cars to truck in Main Street Auto Leasing  Company is 9 to 4 and in the airport Auto Leasing Company is 5 to 3 , then the Main Street Auto Leasing Company has more number of cars .

The Ratio of cars to truck in Main Street Auto Leasing Company is = 9:4 ;

the ratio of cars to truck in Airport Auto Leasing Company is = 5:3 ;

the number of trucks in each Leasing Company is = 24 trucks ;

Case (i)  : Main Street Auto Leasing Company  ;

Since the ratio is = 9:4 ,

So , the number of cars is = 9x   and

the number of trucks = 4x ;

That means , [tex]4x = 24[/tex] ;

[tex]x = 6[/tex] ;

the number of cars in Main Street company is = [tex]9 \times 6[/tex] = 54 cars .

Case (ii) : Airport Auto Leasing Company ;

the ratio is = 5:3 ;

So , the number of cars is = 5x   and

the number of trucks = 3x ;

That means , [tex]3x = 24[/tex] ;

[tex]x = 8[/tex] ;

the number of cars in Airport Auto company is = [tex]5 \times 8[/tex] = 40 cars .

Therefore , the Main Street Auto Leasing Company has more  number of Cars .

The given question is incomplete , the complete question is

Main Street Auto Leasing has a ratio of cars to trucks that is 9 to 4. Airport Auto Leasing has a ratio of cars to trucks that is 5 to 3. If each leasing center has 24 trucks, which auto leasing company has more cars ?

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The slope of the linear equation that passes through the points (-6, -2) and (3, -2) is 0.

We can write a linear equation using the sope-intercept form as:

y = m*x + b

Where m is the slope and b is the y-intercept.

For any linear equation, if we know that the line passes through two known points (x₁, y₁) and (x₂, y₂), then the slope is given by:

m = (y₂ - y₁)/(x₂ - x₁).

In this case we know that the line passes through the points (-6, -2) and (3, -2).

Then the slope will be:

m = (-2 + 2)/(3 + 6) = 0

m = 0

The slope is zero, meaning that this is an horizontal line.

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Answer:

7

Step-by-step explanation:

There are total 30 positive 3-digit palindromes are multiples of 3.

The numbers are as follows,

111, 141, 171, 222, 252, 282, 303, 333, 363, 393, 414, 444, 474, 525, 555, 585, 606, 636, 666, 696, 717, 747, 777, 828, 858, 888, 909, 939, 969, 999.

Palindrome numbers

A palindromic number is a number that remains the same when its digits are reversed. In other words, it has reflectional symmetry across a vertical axis.

A palindrome number is a number that is same after reverse.

For example - 121, 34543, 343, 131, 48984 are the palindrome numbers.

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Answer:

$30.66

Step-by-step explanation:

The value of a perfect square is either a positive number or zero. They cannot be neutral.

Perfect squares are generated when you square an integer. For instance, the number 81 is a perfect square since it can be derived by squaring 9: 99=81. 144 is a perfect square since 12 is squared to produce it. 169 is a perfect square since 13 may be squared to obtain it. Mathematical language Informally: When an integer (a "whole") number, whether positive, negative, or zero, is multiplied by itself, the outcome is referred to as a square number, a perfect square, or simply "a square." Therefore, all square numbers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.

given

The value of a perfect square is either a positive number or zero. They cannot be neutral.

Square differences can be positive, negative, or zero depending on the order in which the numbers are obtained.

One squared term will be added to the difference of squares, and another squared term will be subtracted.

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Answer:

#1

Step-by-step explanation:

boxes   apples

3            6

6           12

9          18

10         20

ratio of apples to boxes is 2:1.   2 apples each box.  Divide the number of apples by 2 to get the number of boxes.  multiply boxes by 2 to get apples.

#2

boxes    cherries

3             12

5           20

6            24

7            28

if you divide cherrie by 4 you get the number of boxes.

Multiply boxes by 4 to get cherries.

Ratio of cherries to boxes is 4 to 1.

Answer:

12 cups oats, 4 cups raisins, 8 cups nuts

Step-by-step explanation:

For this problem, just multiply each ingredient by 4

Answer:

12 cups of oats, 4 cups of raisins, and 8 cups of nuts. Or, all together, she will need 24 cups in total.

Step-by-step explanation:

3 x 4 = 12

1 x 4 = 4

2 x 4 = 8

        = 24

Answer:

Calculate the number of whole years it takes for the population to decrease from 2180 to less than 1000

Step-by-step explanation:

Answer:

28.875

Step-by-step explanation:

If you have a calculator on hand, then this kind of problem will be easy. If you multiply 10.5 by 2.75, then you would get 28.875.

Hope that this helps!

Answer:

13.6 in

Step-by-step explanation:

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7

r = radius

5320 = 2/3 x r^3 x 22/7

r^3 = 5320 x 3/2 x 7/22

find the cube root of both sides

r = 13.6

Answer:

9 units^2

Step-by-step explanation:

The area of a triangle is 1/2hxb. 1/2(6)(3)=9.

Answer:

9

Formula for area - 1/2 times base times height

base - 3

height - 6

1/2 times 6 times 3

= 9

The number of concrete masonry units needed to construct a foundation wall is 102.

The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Given, a foundation wall 104" high with a 120" perimeter.

Since, perimeter of square =  4 * side

120 = 4 * side

side  = 30"

Hence area of the foundation wall = side²

area of the foundation wall = 30² = 900

volume of the foundation wall  = area * height

the volume of the foundation wall  = 104 * 900 = 93,600"

The volume of the concrete masonry whose length, width, and depth are 16, 8, and 8 respectively is

Volume of masonry = 8 * 8 * 16

The volume of masonry = 1024

since 10 % of masonry goes to waste.

Thus the effective volume of the masonry  = 1024*0.9 = 921.6

total masonry required = 93600/ 921.6 = 101.56

therefore, To build a foundation wall, 102 concrete masonry units are required.

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[tex]2 \times 2 \times 4 \sqrt{5} [/tex]

[tex]16 \sqrt{5} [/tex]

final answer is this

plz mark as brainliest

Answer:

..........

Step-by-step explanation:

m = the unknown value

4m = four times that unknown value

4m = 4/3

m = (4/3)*(1/4)

m = 4/12

m = 1/3

Therefore, we multiply 4 with 1/3 to end up with 4/3.