I will give extra points please help

\(s = \frac{cardinality(s)}{cardinality( \omega)} = \frac{15}{100} = \frac{1.5}{100} \)

The shaded region represents 1.5 grids

\(1.5 = 1 \frac{0.5}{1} = 1 \frac{5}{10} = 1\frac{1}{2} \)

Answer:

D

Step-by-step explanation:

The answer and work is in the attached screenshot! :)

Answer:

18 is the correct answer to this

Step-by-step explanation:

18/9=2

Answer:

You need 443.2 square inches of wrapping paper to completely cover the prism.

Step-by-step explanation:

Calculate the area of each side.

Triangles:

Base * Height * 1/2

10 in. * 8.7 in. * 1/2

87 in.^2 * 1/2

43.5 in.^2

There are two sides with the triangle so we multiply the 43.5 in.^2 by two

(43.5 in.^2) * 2

87 in.^2

Side Rectangles:

Length * Width

13 in. * 8.7 in.

113.1 in.^2

There are two sides with this size rectangle so we multiply the 113.1 in.^2 by two

(113.1 in.^2) * 2

226.2 in.^2

Bottom Rectangle

Length * Width

13 in. * 10 in.

130 in.^2

There is only one side with the bottom rectangle.

Add up all the calculate areas.

Triangles + Side Rectangles + Bottom Rectangle

87 in.^2   +     226.2 in.^2      +     130 in.^2

443.2 in.^2

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

Work Shown:

i = P*r*t

84 = 500*0.028*t

84 = 14t

t = 84/14

t = 6

It takes 6 years to yield $84 in simple interest, when you deposit $500 at a simple interest rate of 2.8%

Answer:

$-185

Step-by-step explanation:

If Johns bank account is at $-141, and he continues to use money, then the equation would look something like this:
-141 + -29 + -15 =?

It's simple! Just add the numbers together!

141 + 29 = 170

170 + 15 = 185

Johns bank account status is now $-185.

Answer:

hope this help

if anything is not clear send me a message

The equation for the street (which can be thought of as a line ) which is parallel to the neighbourhood street is y = 2x + 10.

If a line has a slope of m then a line which is perpendicular to a given line has a slope of -1/m.Negative reciprocal.

According to the given question A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (6, 4) and (5, 2).

We know equation of a line in slope intercept form is y = mx + b,Where m is slope and b is y intercept.

Slope = (y₂-y₁)/(x₂-x₁).

Slope = (2-4)/((5-6).

Slope = -2/-1

slope = 2.

∴ The equation of the line with slope 2 can be written as y = 2x + b.

Putting pair of any given coordinates we get

4 = 2(6) + b

b = -8.

So, the required equation of the line is

y = 2x - 8.

Given a line passes through (-2,6) and it is parallel to the previous line (street).

We know parallel lines have same slope so this line also have a slope of 2 and can be written in the same form y = mx + b.

6 = 2(-2) + b

6 = -4 + b

b = 10.

So, the required equation of the line is y = 2x + 10.

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Answer:

Step-by-step explanation:

we know that 34 is 100%

we need to find 160%

divide 34 by 10 and x it by 16

=54.40

now to find the price of 2 jackets do

54.40 x 2

=108.80

Answer:

the other person is right

Step-by-step explanation:

Answer:

(x,y)=(0,4)

Step-by-step explanation:

write as systems as equations, multiply both sides of the equation by -1, sum the equations vertically to eliminate at least one variable, divide both sides of the equation by -19, substitute the given value of x into the equation 5x+y=4, The possible solution of the system is the ordered pairs (x,y) =(0,4), then you're done. whew. ;)

Hello.

Parallel lines have the same slope.

If the given line has a slope of \(\displaystyle-\frac{8}{9}\), then the line parallel to it has the same slope.

Thus, line r has a slope of \(\displaystyle-\frac{8}{9}\).

I hope it helps.

Have a great day.

\(\boxed{imperturbability}\)

Therefore , the solution of the given problem of standard deviation comes out to be $3.22 per gallon of milk serves as the situation's constant of proportionality.

Statistics uses variance as a technique to measure variation. The image of the result is used to compute the average deviation between the collected data and the mean. In contrast with several other valid measures of variability, it takes into account each individual piece of data by connecting each value to the mean.

Here,

Let x represent the price per gallon of milk.

To determine the proportionality constant, we can set up the following proportion:

=> $1 gallon x $2 gallons = $6.44

When we multiply both sides by x, we obtain:

=> 1 gallon = 2 gallons * x / $6.44

If we simplify, we get:

=> x = $6.44 / 2

=> x = $3.22

Hence, $3.22 per gallon of milk serves as the situation's constant of proportionality.

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Answer:

0 liters

Step-by-step explanation:

The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:

Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³

Since the tank was filled up to of its height, the volume of water in the tank at this point is:

Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³

To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):

Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height

= 384,000 cm³ - 1,200,000 cm³

= -816,000 cm³

Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.

Therefore, the answer to the problem is 0 liters or 0 cm³.

Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.

Solution:

Given that the mean weights of 26 dogs is 59 ounces, and the standard deviation is 14 ounces, this implies that

If the confidence level is 99%, this implies that the critical value is evaluated as

The margin of error is expressed as

thus, the margin of error is evaluated to be

Hence, the limits of confidence interval are given by:

H

Answer: 4.8%

Step-by-step explanation: the total amount of pens in the drawer is (10+12+3)  = 25

the amount of red pens in the drawer is 3

the probability of picking out a red pen from the drawer = 3/25

the amount of blue pens in the drawer is 10

the probability of picking out a red pen from the drawer = 10/25

the probability of picking out a red pen then a blue pen afterwards = (10/25 x 3/25) = 4.8%

Answer:

A&B

Step-by-step explanation:

Answer:

5 meters

Step-by-step explanation:

4m^2+3m^2= C^2

16m+9m=C^2

25=C^2

5=C

Answer:

PART A: An absolute value equation that could be used to determine the maximum and minimum value of w is:

|w - 7.21| ≤ 0.04

PART B: To determine the maximum and minimum value of w, we can solve the inequality in part A.

Adding 7.21 to both sides of the inequality, we get:

-0.04 ≤ w - 7.21 ≤ 0.04

Adding 7.21 to all three parts of the inequality, we get:

7.17 ≤ w ≤ 7.25

Therefore, the maximum value of w is 7.25 cm, and the minimum value of w is 7.17 cm.

Answer:

n = 24

Step-by-step explanation:

60= n/3 + 52

-52. -52

8= n/3

You then take 3/1 times 8 therefore you leave n by itself

n = 24

The side of the cubical box is 1/2 foot, so its volume is given by,

Given that the container can be filled with 378 boxes.

So the volume of the container is given by,

Thus, first option is the correct choice.

The rearranged formula with the x as subject is x = 2y - 10

Formula

Formula refers a fact or a rule written with mathematical symbols. It usually connects two or more quantities with an equal sign.

Given,

Here we have the formula y = 1/2x + 5

Now, we have to rearrange the given formula in order to make x as the subject.

Here we we need to find the formula, as x the subject,

So, the given formula,

y = 1/2 x+ 5

We have to move the number 5 to the left hand side, then the sign of the number changes into negative,

So, it can be written as,

=> y - 5 = 1/2x

Here we need the value of x alone, so move the number that is in division to the LHS, then it will be changed as multiplication, then we get,

=> 2 (y - 5)  =x

When we expand it, then we get,

=> 2y - 10 = x

Therefore, the formula that has x as subject is 2y - 10.

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The range of the function f(x) is [-2, 3)

For a function y = f(x), the range is the set of the possible outputs of the function.

In this case, we have a a graph, so to find the range, we need to look at the horizontal axis.

We can see that the minimum is at y = -2, with a closed circle (a closed circle means that the value belongs to the range)

And ends at y = 3 with an open circle, so that value does not belong to the range.

then the range of f(x) is [-2, 3)

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Answer:

m= -29/18

Step-by-step explanation:

The cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.

To find the cost per pound of each type of meat, we can set up a system of equations based on the given information.

Let's denote the cost per pound of rib steak as 'x' and the cost per pound of hamburger meat as 'y'.

From the first statement, we know that:

2x + 6y = 12.30 ---(Equation 1)

From the second statement, we know that:

3x + 2y = 9.70 ---(Equation 2)

Now we can solve this system of equations to find the values of 'x' and 'y'.

Multiplying Equation 1 by 3 and Equation 2 by 2 to eliminate the 'x' term, we get:

6x + 18y = 36.90 ---(Equation 3)

6x + 4y = 19.40 ---(Equation 4)

Subtracting Equation 4 from Equation 3, we get:

14y = 17.50

Dividing both sides by 14, we find:

y = 1.25

Substituting the value of 'y' back into Equation 1, we can solve for 'x':

2x + 6(1.25) = 12.30

2x + 7.50 = 12.30

2x = 4.80

x = 2.40

Therefore, the cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.

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Using basic operations, it is found that the integer 5 represents that the Giants have gained 5 yards.

-----------------------------------------

Using basic operations, we find the integer that represents the Giants yardage, as follows:

\(Y = -3\times5 + 20 = -15 + 20 = 5\)

The integer 5 represents that the Giants have gained 5 yards.

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Answer:

Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).

Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).

Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes

Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes

After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.

So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.  

If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.

Step-by-step explanation:

Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).

Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).

Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes

Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes

After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.

So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.  

If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.

Answer:

Yes

Step-by-step explanation:

Divide 12.75 by 3 to get the amount Machine A makes in 1 minute, 4.25 ounces.

Divide 18 by 4 to get the amount Machine B makes in 1 minute, 4.5 ounces

Multiply 4.25 by 10 for a total from Machine A, 42.5 ounces.

Multiply 4.5 by 10 for a total from Machine B, 45 ounces.

Add 42.5 to 45 totalling 87.5

Eight 9-ounce bags require 72 ounces of popcorn. So if both Machines made a total of 87.5 ounces they would have enough popcorn.

Using the unit circle to find sin 240 and cos 240, without using a calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

To find sin 240 and cos 240 without a calculator, we can use the unit circle, which is a circle with radius 1 centered at the origin in a two-dimensional coordinate system. The unit circle provides a convenient way to define the sine and cosine of an angle in terms of their coordinates on the circle.

The sine of an angle is the y-coordinate of the point on the unit circle corresponding to that angle, and the cosine of an angle is the x-coordinate of the point on the unit circle corresponding to that angle.

For an angle of 240 degrees, we can find the corresponding point on the unit circle by constructing a line from the origin to the point on the circle.

we can see that the y-coordinate of the point is negative, so sin 240 = -sin (240 - 180) = -sin 60 = -1/2.

The x-coordinate of the point is also negative, so cos 240 = -cos (240 - 180) = -cos 60 = -√3/2.

We can use a calculator to check our answers by entering sin(240) and cos(240) with parentheses around the 240, as requested by the calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

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Answer:

Step-by-step explanation:

You run a train station that sells children tickets for 2 dollars and adult tickets for 4 dollars

The total tickets sold on Saturday was 50

The train station made 120

How many adult tickets and kid tickets did they sell?

(40 kids, 10 adults)

A pen cost $40 and the book cost $10

The word problem that can be represented by the equation is: John bought one pen and one book for $50. He went the next day and bought 2 pens and 4 books for $120.

x + y = 50 ....... i

2x + 4y = 120 .... ii

Let x = pen

Let y = book.

From equation i, x = 50 - y

Since 2x + 4y = 120

2(50 - y) + 4y = 120

100 - 2y + 4y = 120

Collect like terms

-2y + 4y = 120 - 100

2y = 20

y = 10

Therefore, a book cost $10

Since x + y = 50

x + 10 = 50

x = 50 - 10

x = 40

A pen cost $40

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Answer:

-2x-8-2x<8

-4x<16

whenever you divide by negative the sign will change

x>-4

Answer:

(i)Here ∠HGB=∠AGE(vertically opposite angles)

∠HGB=110

∘

Now, for parallel lines l and m, with transversal t.

∠HGB+∠GHD=180

∘

(Angles on the same side of the transversal are supplementary)

110

∘

+∠GHD=180

∘

∠GHD=180

∘

−110

∘

=70

∘

(ii)For parallel lines l and m with transversal a

∠AIE=∠CJI (corresponding angles)

⇒x=100

∘