A group of 200 people who exercise regularly reported the following exercise habits :
5 people run
65 people swim or run
30 people swim and run

If a person from this group is selected at random , what is the probability that the person swims ?

Answer:

z score = .2843

Step-by-step explanation:

25 is 2 below 27

   this is  2/3.5 = .5714  S.D. below mean

      z-score  . 2843

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

and to get it, we only need two points off a line, hmmm let's use those two points in the picture below.

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{12}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{12}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{4}}}\implies \cfrac{6}{4}\implies \cfrac{3}{2}[/tex]

The number of people who voted for Cat-urday Night Fever as the best comedy film is given by the equation A = 182 people

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of people who voted for the comedy film be = A

Now , the equation will be

The total number of people = 280 people

The percentage of people who voted for the best comedy film = 65 %

So , number of people who voted for the comedy film A = percentage of people who voted for the best comedy film x total number of people

Substituting the values in the equation , we get

Number of people who voted for the comedy film A = ( 65 / 100 ) x 280

On simplifying the equation , we get

Number of people who voted for the comedy film A = 0.65 x 280

Number of people who voted for the comedy film A = 182 people

Therefore , the value of A is 182 people

Hence , the number of people is 182 people

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Step-by-step explanation:

-1/7 = -3/2x

1/7 = 3/2x

x = 1/7×2/3

= 2/21 :")

According to the question, there are 37000 plants per hectare, the total corn plan required is 475,665.75 corn plants

The trapezium is a 2 -dimensional plane shape with the area calculated as shown below:

The formula for calculating the area of a trapezoid is expressed as:

Area = 0.5(a + b)h

Given the following parameters

Substitute the given parameters
Area = 1/2 (500 + 900) * 800
Area = 1/2 (1400) * 800
Area = 560000 square feet

Since 1 acre is equivalent to 43560 square feet, hence the total acre required is expressed as:

Total acre = 560000/43560
Total  acre = 12.856 acres

Also since there are 37000 plants per hectare, the total corn plan required is 475,665.75 corn plants

Learn more on area of trapezoid here: https://brainly.com/question/1463152

Answer:

C    y≥3

Step-by-step explanation:

Range is the y values that a function can be ...this one can be as low as 3 and up to infinity

Answer:

12

Step-by-step explanation:

Jim's currect age is x.

In 16 years, JIm will be x + 16.

In 4 years, Jim will be x + 4.

x + 16 = 3x

-2x = -16

x = 8

x + 4 = 8 + 4 = 12

Answer:

Its D I did my math

Step-by-step explanation:

Answer:

D. I worked the math out.

Answer:

39.5 in^3

Step-by-step explanation:

lol someone had the same question

The formula for a cone is (pi)(r^2)(h/3)

Since we have to use 3.14 for pi, we plug 3.14 in for pi:

(3.14)(r^2)(h/3)

The radius is 2 and the height is 8, so we plug in those numbers:

(3.14)(2^2)(8/3)

Simplify:

(3.14)(4)(2.666...)

Multiply:

(12.56)(2.666...) -> 39.49333...

Finally, we round 39.49333... to the tenths place:

39.5

Hope this helps :)

Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

so let's start ~

General term , [tex] A_{n} [/tex] = 3n + 10

let's consider certain values of n to get some information with us which will help us solve the problem further !

let's first consider , n = 1 ! then ,

[tex]3n + 10 = 3(1) + 10 \\ \dashrightarrow \: 13[/tex]

now , let's consider n = 2

[tex]3n + 10 = 3(2) + 10 = 6 + 10 \\ \dashrightarrow \: 16[/tex]

then , let's consider n = 3

[tex]3n + 10 = 3(3) + 10 = 9 + 10 \\ \dashrightarrow \: 19[/tex]

hence ,

now we've with us an AP which is as follows -

[tex]13 \: , \: 16 \: , \: 19 \: ......[/tex]

from this Arithmetic Progression ,

we can know that

a = first term = 13

d = common difference = 16 - 13 = 19 - 16 = 3

now ,

[tex]A _{n} = a + (n - 1)d \\ \implies \: A _{150} = 13 + (149)(3) \\ \implies \: A _{150} = 13 + 447 \\ \pink{\implies \: A _{150} = 460}[/tex]

hope helpful :D

Answer:

Total amount of tickets is 48

Step-by-step explanation:

Step 1:  Determine the amount of tickets they solid in all

We see that the movie theater has a ratio of 4 adult tickets for every children ticket which means that wen a child purchases a ticket there are 2 adult tickets that come along.

32 adult tickets / (2 adult tickets per child)

16 children tickets

Total tickets: 32 adult tickets + 16 children tickets = 48 tickets

Answer:  Total amount of tickets is 48

Answer:

Area (A)  0.0682

Step-by-step explanation:

The sketch for the region enclosed by the given curves can be found in the image attached below.

From the image below;

The two curves intersect in the area of tan 9x = 2 sin 9x

Recall that:

making x the subject; then:

The subdivision of the domain is in two intervals

where;

Area (A) =

Area (A) = 0.06818

Area (A)  0.0682

Answer:

A=(3.14)r²

Step-by-step explanation:

First you find your radius if it is a diameter you divide it by 2

Second you multiply the radius by pi (π=3.14)

lastly you square your answer

hope this helps!

Answer:

option A is correct.

Explanation:

Total Area of the prism: 8 + 48 + 8 + 24 + 24 + 48 = 160 ft²

Area of rectangular prism: 2(LW+HW+HL)

Option A

2(2*4+4*12+12*2)

2(8+48+24)

2(80)

160 ft²

areas of all 6 surfaces of the rectangular prism are given just add them up for finding Total surface area

TSA:-

Answer:

• No

• Yes

• Yes

• No

Step-by-step explanation:

To determine if the 4 given values of y are solutions to the inequality, start by solving the inequality. Solving an inequality is just like that of an equation, except that the direction of the sign changes when the inequality is divided by a negative number.

-2y +7≤ -5

Subtract 7 on both sides:

-2y≤ -5 -7

-2y≤ -12

Divide by -2 on both sides:

y≥ 6

This means that the solution can be 6 or greater than 6.

-10 and 3 are smaller than 6 and are not a solutions, while 7 and 6 satisfies the inequality and are therefore solutions.

_______

Alternatively, we can also substitute each value of y into the inequality and check if the value is less than or equal to -5.

Here's an example to check if -10 is a solution.

-2y +7≤ -5

When y= -10,

-2y +7

= -2(-10) +7

= 20 +7

= 27

Since 27 is greater than 5, it is not a solution to the inequality.

Answer:

Men Women Total

Exercise less than 7 hours per week

Men:108

Women:81

Exercise 7 or more hours per week

Men:84

Women:27

Step-by-step explanation:

Answer:    [tex]-\frac{240}{289}[/tex]

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

Explanation:

Use the pythagorean trig identity [tex]\sin^2(\theta)+\cos^2(\theta) = 1[/tex] and plug in the fact that [tex]\cos(\theta) = \frac{8}{17}\\\\[/tex]

Isolating sine leads to [tex]\sin(\theta) = -\frac{15}{17}\\\\[/tex]. I'm skipping the steps here, but let me know if you need to see them.

The result is negative because we're in quadrant 4, when y < 0 so it's when sine is negative.

Therefore,

[tex]\sin(2\theta) = 2\sin(\theta)\cos(\theta)\\\\\sin(2\theta) = 2*\left(-\frac{15}{17}\right)*\left(\frac{8}{17}\right)\\\\\sin(2\theta) = -\frac{240}{289}\\\\[/tex]

Answer:

True, True, True, False

Step-by-step explanation:

Answer:

[tex]y = -\frac{1}{3}x + 5[/tex]

Step-by-step explanation:

To being, slope intercept form is the infamous y = mx + b form. In which, m is equal to the slope and b is equal to the y-intercept. (1) To solve this, begin by finding two points of the line. One easy point to find is when x = 0 as it intersects with the y-axis. Two points are: (0,5) and (-3,6). (2) Next, use the slope formula to solve for the slope. The slope formula is [tex]\frac{y2-y1}{x2-x1}[/tex]. Plug in the y and x values;  [tex]\frac{6-5}{-3-0}[/tex]. Simpliify the fraction; [tex]\frac{1}{-3}[/tex] --> [tex]-\frac{1}{3}[/tex]. Therefore -1/3 is our slope. (3) To solve for b, the y-intercept, set up the slope-intercept equation with the newfound slope (y = -1/3x + b) and plug in a point for the y and x values. Doing this will isolate the b so you can solve for it.

6 = -1/3(-3) + b

6 = 1 + b

-1    -1

5 = b

Therefore the y-intercept (b) is 5. (4) The final step is to combine the information into the slope-intercept form; y = -1/3x + 5. Good luck!

Answer:

4/x-8=8/2

4/x-8=4

4=4(x-8)

4=4x-32

4+32=4x

36=4x

dividing through by 4

x=9

converting to the nearest tenth will be 9.0

therefore x=9.0

Answer:

i think. 8 times 12 = 96 times 20 = 1,920

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Since it's a right angled Triangle we can } \\ \textbf{ use Pythagoras theorem } [/tex]

[ [tex] \textsf{Cos(29°)= 0.875} [/tex] ]

[tex] \textsf{I hope you understood the procedure} [/tex]

Answer:

1 hour and 15 minutes=75 mins.

Step-by-step explanation:

Answer:

  96.76 cm²

Step-by-step explanation:

The area of a rectangle is the product of its length and width.

__

  A = LW

  A = (11.8 cm)(8.2 cm) = 96.76 cm²

Answer:

96.76 cm2

Step-by-step explanation:

Answer: No, the events are not mutually exclusive

Work Shown:

P(A and B) = P(A) + P(B) - P(A or B)

P(A and B) = 0.51 + 0.79 - 0.66

P(A and B) = 0.64

Since the result is not zero, this means the events are not mutually exclusive.

Mutually exclusive events are ones that cannot happen at the same time. Example: getting a "2" and a "3" on the same roll of a number cube.

Answer:

D) It is 1:5.

Step-by-step explanation:

[tex] \frac{4}{20} = \frac{1}{5} [/tex]

The percentage change is 204.96% and it was increasing

[tex]((y2-y1)/y1)*100[/tex] = your percentage change

(where [tex]y1=[/tex] start value and [tex]y2=[/tex] end value)

[tex]((278.123-91.199)/91.199)*100=204.96%[/tex]

Therefore, The percentage change is 204.96% and it was increasing

Learn more about Finding the Percentage here:

https://brainly.com/question/26442217