Please help simple math 50 points

Answer:

I don't know the options, but the first step would definitley be distributing the -3 over the parantheses --> -3x - 18

EXPLANATION

If the equation is 2r+10=22

Subtracting -10 to both sides:

2r = 22 - 10

Subtracting numbers:

2r = 12

Dividing both sides by 2:

r = 12/2

Simplifying:

r=6

The answer is r=6

Using first equation

y=x-6

substitute x = 5 into the equation

y = 5-6

y = -1

Or

Using second equation

-2x+3y=-13​

substitute x = 5 into the equation

-2(5) + 3y = -13

-10 + 3y = -13

3y = -13 + 10

3y = -3

y = -3/3

y = -1

The probability that the repair time for an air conditioning unit will be between 29 and 44 minutes is 0.4648

We are given:

u= 38,s = 12

We have to find P(29 < x< 44)

Using the z-score formula, we have:

P(29 <x <44) = P(-0.75 < z <0.5)

Using the standard normal table, we have:

P(29 <x<44) = P(-0.75 < z < 0.5) = 0.4648

Therefore, the probability that the repair time for an air conditioning unit will be between 29 and 44 minutes is 0.4648

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According to the picture, you can find the area of the figure by susbtracting the area of the segments of the circles to the area of the rectangle. We can observe that these segments are a quarter of a circle, together they would be a complete circle, then to find the area of the figure we can substract the area of one of the circles to the area of the rectangle.

1. Find the area of the circle:

2. Find the area of the rectangle:

To do it, you need to find the length and the width first, do it this way:

Now, find the area of the rectangle:

3. Find the area of the figure:

The area of the figure is 444.76 feet squared.

Considering the given frequency polygon, the mean of the distribution is of:

E(X) = 57.1.

The frequency polygon works similarly to an histogram, giving the number of times that each observation happens, with the dot being placed at the center of each interval.

Considering the given polygon, the absolute frequencies are given as follows:

The sum of the absolute frequencies is given as follows:

10 + 7 + 8 + 2 + 3 = 30.

Hence the relative frequencies = probabilities are given as follows:

The mean is given by the sum of each outcome multiplied by it's probability, hence:

E(X) = 40 x 0.3333 + 52.5 x 0.2333 + 65 x 0.2667 + 77.5 x 0.0667 + 90 x 0.1 = 57.1.

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Answer:

The perimeter is 12 units.

Step-by-step explanation:

The answer would be 12 units because each side is 1 unit. If you count all the sides together, you get 12 units.

Answer: 12 units

Step-by-step explanation:

       The perimeter is the length around a 2D shape. We will count the units that make up this shape's outline. See attached. Please note that as long as you count every side for this shape, it doesn't matter the order you count.

       The perimeter is 12 units, the last option.

Answer:

-7, -6, -4, -2, 7

Step-by-step explanation:

f(-4) = -4 - 3

f(-4) = -7

f(-3) = -3 - 3

f(-3) = -6

f(-1) = -1 - 3

f(-1) = -4

f(1) = 1 - 3

f(1) = -2

f(10) = 10 - 3

f(10) = 7

Using ratios, we can conclude that Chris gets 12 sweets.

So, a number of sweets Chris receive:

Now, 7:3 = x+20:x, solve as follows:

Therefore, using ratios, we can conclude that Chris gets 12 sweets.

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The correct question is given below:
Alex and Chris share sweets in the ratio Alex: Chris = 7 : 3. Alex receives 20 more sweets than Chris. Work out the number of sweets Chris receives.

The measure of the angles are 56.25° and 33.75°.

The value in a complementary angle is equal to 90°.

Let the first angle = x

The second angle will be: 1 - (40% × x) = 1 - 0.4x = 0.6x

Therefore, they'll be added together as follows:

x + 0.6x = 90°

1.6x = 90°

Divide

x = 90/1.6

x = 56.25

The second angle will be:

= 0.6x

Since x = 56.25, this will be used in the illustration below.

= 0.6x

= 0.6 × 56.25

x = 33.75

Therefore, the second angle is 33.75.

This illustrates the concept of complimentary angles.

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We need to convert 40 degrees to radians:

Then, we need to use the next equation:

Solve it:

Hence, 40 degrees is equal to 2/9π radians.

The number of DVDs that he can put side-by-side on the shelf is 19.

From the information, Mr Washington is putting his DVDs on a shelf that is 10 2⁄3 inches long and each DVD is 11⁄20 inches wide.

The number of DVDs that can be put will be the division of the numbers that are given. This will be:

= Length of shelf / Width of each DVD

= 10 2/3 ÷ 11/20

= 32/3 ÷ 11/20

= 32/3 × 20/11

= 640 / 33

= 19 13/33

= 19 approximately

He can put 19 DVD.

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Step-by-step explanation:

a table ? why? what kind ?

it is relatively simple to solve :

x liters of 1% had to be mixed with 12 liters of 4% to get 12+x liters of 2%

x×0.01 + 12×0.04 = (12+x)×0.02 = 12×0.02 + x×0.02

12×0.02 = x×0.01

x = 12×0.02/0.01 = 12×2 = 24 liters

so, 24 liters of 1% had to be added to the 12 liters of 4% to get a 2% mixture (12 + 24 = 36 liters).

a) Number of employees that prefer coffee are [tex]\frac{3}{7}[/tex].

b) Percentage of employees don't like either tea or coffee is 30.4%

c) Number of employees that prefer tea are [tex]\frac{28}{105}[/tex]

The numerical numbers that make up a fraction of the whole are called fractions. A whole can be a single item or a collection of items. When anything or a number is divided into equal parts, each piece represents a portion of the total. A fraction is represented as a/b, where a and b are the numerator and denominator, respectively. A fraction only informs us of the number of parts that make up the whole. The slash that is inserted between the two numbers identifies a fraction. The numerator is the highest number, and the denominator is the lowest number. [tex]\frac{1}{2}[/tex], for instance, is a fraction.

Given Data

In a work survey, it was found that:

28 employees preferred tea

45 employees preferred coffee

32 didn't like either

a) Number of employees that prefer coffee

= 45

Fraction:

= [tex]\frac{45}{105}[/tex]

= [tex]\frac{3}{7}[/tex]

b) Percentage of employees don't like either tea or coffee

= [tex]\frac{32}{105}[/tex] × 100

= 30.4%

c) Number of employees that prefer tea.

= 28

= [tex]\frac{28}{105}[/tex]

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Answer: 11

Step-by-step explanation:

5 + 7(6-4) - 2(5 - 1)

P E M/D A/S

5 + 7(2) - 2(4)

P E M/D A/S

5 + 14 - 8

P E M/D A/S

11

The length of the diagonal of the TV is 2500 inches

Calculating your TV size is less complicated than you might think. A TV's size refers to its diagonal length, which comes from measuring from the upper left hand corner of the actual TV screen to the lower right hand corner.

TV that is 30 inches tall and 40 inches wide.

The length of the diagonal of the TV of the equation is

[tex]30^{2} + b^{2} =40^{2}[/tex]

Then

[tex]30^{2} +40^{2} =2500[/tex]

so

The length of the diagonal of the TV is 2500 inches

Calculating your TV size is less complicated than you might think. A TV's size refers to its diagonal length, which comes from measuring from the upper left hand corner of the actual TV screen to the lower right hand corner. Most are expressed in inches.

The screen surface's diagonal length is calculated from one corner to the other corner (bottom left to top right or top left to bottom right)

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Answer:

Step-by-step explanation:

The spending is the cost plus expenses:

Net income is the difference of money made and spent:

Answer:

II. 8

III. 2

Step-by-step explanation:

Solving an inequality

9 ≤ 3x +4

Subtract 4 from each side

9-4 ≤ 3x +4-4

5 ≤ 3x

Divide each side by 3

5/3 ≤ 3x/3

5/3 ≤ x

x must be greater than or equal to 5/3

I. - 7  this is not greater than or equal to 5/3

II. 8   this is  greater than or equal to 5/3

III. 2 this is  greater than or equal to 5/3

Step-by-step explanation:

100% = $250

1% = 100%/100 = 250/100 = $2.50

the price decreased by

250 - 180 = $70

how many % are $70 ?

as many as how many times 1% ($2.50) fits into $70 :

70 / 2.50 = 28%

it changed (decreased) by 28%.

EXPLANATION

Since we know that the number of hours is represented by a periodic function, the appropriate model is the sine function.

As the average number of daylight hours is 12 with a maximum and minimum of 14.4 and 9.6 respectively.

Furthermore, the period is 365.

Thus, the period is as follows:

The appropiate model is the following:

Now, we need to compute the value of a:

Since the sine function reaches its highest value at t=90° and is represented by 14.4, when t=90°, the value of the function is asin(0.017t) = 1

Therefore,

14.4 = a + 12

Subtracting -12 to both sides:

14.4 - 12 = a

Subtracting numbers:

2.4 = a

In conclusion, the final function is the following:

Since the minimum is at t=0, we want:

In conclusion, the solution is the OPTION C)

[tex]p =( 1.5x - 3) + (1.5x - 3) + (0.75x - 1) \\ = 1.5x + 1.5x + 0.75x - 3 - 3 - 1 \\ p= 3.75x - 7[/tex]

ABOVE IS THE SIMPLIFIED PERIMETER OF THE TRIANGLE.

The probability that this person choosen only visited one of the two places is 9/20

What is Probability?

Probability is a measure of the possibility that an event to occur.

 The probability for an event to occur= Possible outcome /Total outcome

to get the possible out come we must Know the number of people that visited ET and NDC only.

using set theory;

if x is the no of people that visited both places then,

8-x =ET only

13-x= NDC only

5= none visited ET and NDC

x+13-x+8-x+5=20

collect like terms

26-x= 20

x =6

therefore ET only= 2

NDC only= 7

probability of ET = 2/20

probability of NDC= 7/20

therefore probability that the person chosen only visited one place = p(ET)+P(NDC)= 7/20+2/20

= 9/20

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The point estimate of the population mean is 9

The point estimate of the population standard deviation is 2.83

Part a

Point estimate of population mean:

Given the sample data is 5,8,10,7,10,14

Number of samples, n is 6

Population mean=[tex]\frac{\sum x }{n}[/tex]

                           =(5+8+10+7+10+14)/6

                           =54/6

                           =9

Point estimate of mean=9

Part b

Point estimate of population standard deviation:

Mean=9

Data (x)     (x-mean)^2

5                16

8                1

10               1

7                 4

10               1

14               25

Total           48

Standard deviation=√(x-mean)^2/n

                               =√48/6

                               =√8

                               =2.83

Hence, the point estimate of population standard deviation is 2.83

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The values of the vectors of AB = b - a , MN = 29a - b/2 and MP = b/2 + (k + 1)( b - a)

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

We have been given that OB = b and OA = a

From ΔAOB we have;

OB + BA + AO = 0

b + (- AB ) -a = 0

AB = b - a

Now from ΔMNO we have;

MN + NO + OM = 0

MN + ( -ON) + OB/ 2 = 0

MN - (OA + AN ) + b/2 = 0

MN - ( a + 30a) + b/2 = 0

MN = 29a - b/2

Now from ΔMBP , we have;

MB + BP + PM = 0

OB/2 + (BA - PA) + PM = 0

b/2 + ( - AP/k + AP) + PM = 0

b/2 + ( -kAB /k + kAB) + PM = 0

b/2 + ( k AB + AB ) + PM ) = 0

PM = -b/2 - (k + 1) (b - a)

MP = b/2 + ( k+1) (b - a)

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May's total profit given the revenue, fixed cost and variable cost is $250.

Profit is when the difference between revenue and total cost is positive. A loss is earned when the difference between revenue and total cost is negative.

Total cost is the sum of fixed cost and variable cost. Fixed cost is the cost that remains constant regardless of the level of output. Variable cost changes based on the level of output.

Total cost = variable cost + fixed cost

$9,000 + $300 = $9,300

Profit = revenue - total cost

$9,950 - $9,300 = $250

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The equation of a function that results in a graph that shows exponential decay is f(x) = 3(0.7)ˣ

An exponential function is represented as

f(x) = abˣ

Where

A function that represents an exponential decay would have a rate less than 1

This is represented as b <1

From the list of options, we have

f(x) = 3(0.7)ˣ

By comparing f(x) = 3(0.7)ˣ and f(x) = abˣ, we have

b = 0.7

0.7 is less than 1

Hence, the exponential decay function is f(x) = 3(0.7)ˣ

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The length of the incline of the ramp will be [h] = 12.0415 ft. The estimated length of the incline would be - 12ft

According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the base and perpendicular. Mathematically, we can write -

h² = p² + b²

Given is the installation of wheelchair ramp such that the ramp should have a base of 12 ft and height of 1 ft long.

[A]

From the data given, we can consider the ramp construction as right angled triangle. We can write -

base [b] = 12 ft

height [p] = 1 ft

Using the Pythagoras theorem -

h² = (12 x 12) + (1 x 1)

h² = 144 + 1

h = √145

h = 12.0415

[B]

For estimating the length of the incline, we will round it off to the exact value. The rounding of length for zero digits after decimal will give the desired result as 12 ft

Therefore, the exact length of the incline of the ramp will be [h] = 12.0415 ft. The estimated length of the incline would be - 12ft

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[ This answer is the answer of part B of the question whose part A is attached with the answer.]

A tall child with an arm span of 120 cm and height of 118 cm was added to the sample used in this study then the correlation will increase whereas the slope stays the same.

Correlation is a relation between two variables, by shifting one independent variable, how the dependent variable will shift, that's the degree of correlation since Correlation can be fitted in any shape or condition. It can be fitted nonlinear, straight or curvy straight, etc whereas slope is related to a straight variety of two variables, it is characterized as the rate of altering of the dependent variable in order with the independent variable. By and large you'll discover equation incline =( y2-y1)/(x2-x1).

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