685 gym members were asked if they use the elliptical machine or treadmill as their primary cardiovascular exercise. 257 said they use the treadmill, 157 said they use the elliptical, and 85 said they use both.

a.) Organize this using a venn diagram (2 marks)

b.) A gym member is chosen from this group. What is the probability that this member uses the treadmill only? (1 mark)

Answer:   3.3 * 10^5

This is approximate. The more accurate value is 3.333 * 10^6 but even that isn't exact because the '3's after the decimal point go on forever

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

Work Shown:

(2.5 * 10^8)/(7.5 * 10^2)

(2.5/7.5) * 10^(8-2)

0.3333 * 10^6 .... this is approximate

3.333 * 10^(-1) * 10^6

3.333 * 10^(-1+6)

3.333 * 10^5

3.3 * 10^5

Answer:

5) 4а²+8ас=4а(а+2с)

6) 3m²-6mn=3m(m-2n)

7) ab-ac+yb-yc=a(b-c)+y(b-c)=(a+y)(b-c)

8) ab+ac+xb+c=b(a+x)+c(a+1)

Answer:

6 and (2y+5)

Step-by-step explanation:

Answer:

hello,

Step-by-step explanation:

height=23*tan(30°)=0.56*23=12.88 (ft)

Answer:

a. 20h = m

b. $120

Step-by-step explanation:

We know what they charge per hour so if we didn't have the number of hours they worked we would write the equation as 20h = m (h = hours, and m = money made). Since we know the number of hours they worked, we can substitute h with 6 and find m.

20(6) = m

120 = m

Best of Luck!

Answer:

x=144°

Step-by-step explanation:

To work out x, you have to find the other angle in the triangle.

Angles in triangles always add up to 180°, so you would have to add up the 2 angles you have and take it away from 180°.

48+96=144°

180-144=36°

Then, to find x, you have to do 180-36 because angles on a straight line always add up to 180°.

180-36=144°

x=144°

Hope this helps :)

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 96 \degree \: + \: 48 \degree }}} \\ [/tex]

[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 144 \degree }}} \\ [/tex]

Answer:

[tex]{ \bf{gradient = { \boxed{ - 2}}}} \\ \\ { \bf{y - intercept = { \boxed{4}}}}[/tex]

56/11=5.09090909090.......

50/9=5.5555........

7/9=0.777777.......

Answer: Around 68.0858 m

Step-by-step explanation:

To find x                            To find y  

[tex]tan(37)=\frac{x}{35} \\\\35tan(37)=x\\\\x=26.37439...[/tex]                     [tex]tan(50)=\frac{y}{35} \\\\35tan(50)=y\\\\y=41.7113757...[/tex]

To find the height of the building, add the x-value and y-value:

[tex]x+y=26.3744+41.7114=68.0858[/tex]  

I hope this is correct o_o

Answer:

Hello,

Step-by-step explanation:

Part A:

Yes

Since

y=f(x)

f(0)=4

f(1)=7 : f(1)=f(0)+1*3

f(2)=10= 7+3 : f(2)=f(1)+3 =f(0)+2*3

f(3)=13=10+3: f(3)=f(2)+3=f(0)+3*3

...

f(9)=31=28+3=f(8)+3=f(0)+9*3

f(n)=f(0)+n*3=4+n*3

Part B: y=3x+4

Part C: slope=3 , y-intercept=4

The slope indicate the grow of the plant (how many cm does it grow in function of the height it receives)

y-intercept indicate the original height of the plant.

Answer:

Step-by-step explanation:

Answer:

Hello,

Answer :Rotation of 90° clockwise by the origin O, and translation 2 units to the left

Step-by-step explanation:

Answer:

900°

Step-by-step explanation:

The interior angles sum = 180° ( n - 2 )

~~~~~~~~

n = 7

180° ( 7 - 2 ) = 900°

Answer:

900 degrees

Step-by-step explanation:

just apply the formulas discussed in class !

The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.

The number of triangles in each polygon is two less than the number of sides.

The formula for calculating the sum of interior angles is:

(n−2)×180∘ (where n is the number of sides)

in our case we have 7 sides.

so, we could split this polygon into 5 triangles.

each of these triangles would have an angle sum of 180°.

so, the angle sum of the polygon is

5×180 = 900°

An amount of $ 5272 he will have in the account at the beginning of year 9. Option D is corect.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The expression is;

[tex]\rm A(n) = 4500(1+0.02)^{n-1}[/tex]

At the beginning of 9-year value of n is 9,substitute the value to get he amount;

[tex]\rm A(n) = 4500(1+0.02)^{n-1} \\\\ \rm A(n) = 4500(1+0.02)^{9-1} \\\\ A(n) = \$ 5272[/tex]

Hence, option D is corect.

To learn more, about equations, refer;

https://brainly.com/question/10413253

#SPJ1

Answer:

65

Step-by-step explanation:

1=5

13=x

1x=5x13

1x=65

divide both sides by 1

x=65

Answer:

a. What is the explanatory variable (independent variable)? (1 point)

Number of fans sold.

b. What is the response variable (dependent variable)? (1 point)

Outside temperature.

c. Circle the best range for the correlation coefficient. (1 point)

(–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0)

d. Based on this scatterplot, does a rise in temperature cause more fans to be sold? Why or why not? (3 points)

Yes because a rise in temperature causes fan sales to go up because people buy fans when it’s hot to cool off.

Step-by-step explanation:

I got it right on AP3X. Hope this helps!

opposite angles of a llgrm are equal.

ABCD is a llgrm.

let angle A = 63 degree

so opposite angle of A is C is also 63.

let angle B=x degree =angle D

sum of all angles of a llgrm is 360 degree

angle A + angle B + angle C + angle D=360

63+x+63+x=360

126+2x=360

2x=360-126

x= 134/2

x=67

so the other angles are

A=63 B =67 C = 63 D = 67

All credit goes to

bijaymourya8114

Answer:

if the inequality symbol is ≤ then the answer is x ≤ 6. If the inequality symbol is < then the answer is x < 6.

Step-by-step explanation:

Hope this helped

Answer:

Step-by-step explanation:

The first box is 'not closed'

Second is ' an element'

Third = 'closed' and last is 'an element'.

Answer:

6x

Step-by-step explanation:

3x/y=x/2y

Since 2y is 2X greater than y, 6x is 2X greater than 3x.

So,

The answer is 6x.

Answer:

x^8

Step-by-step explanation:

(x^2)^{4}

We know a^b^c = a^(b*c)

x^(2*4)

x^8

Answer:

x^8 <33

Step-by-step explanation:

Pepe's balance will be greater as it is increasing exponentially while Leo's is increasing linearly

(see graph, where red is Pepe and blue is Leo)

Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent [tex]y = a^x[/tex]

where a is a constant and a>1

We have:

Pepe and Leo deposit money into their savings accounts at the end of each month.

From the table, we can plot a graph on a coordinate plane.

As we can see in the graph:

Because Pepe's balance is growing exponentially and Leo's is growing linearly, it will be bigger.

Thus, Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ5

Answer:

the answer is a

Step-by-step explanation:

sory lawl

i mean e

answer e!

good luck w summer geometoery

no, more than one triangle could be made with these measures

sss

Answer:

8

Step-by-step explanation:

24 bottles = 16 dollars!

? bottles = 12 dollars

Note:

In these type of Questions, find out  any dollars you could get with 1 bottle

or in simple terms, (first find the unit Rate)

24/16 = 1.5

1 bottle = 1.5 dollars

? bottles = 12 Dollars?

12/1.5

= 8

Answer:

13 and 91

Step-by-step explanation:

(a + b)² = a² + 2ab + b² , substitute values

7² = a² + 2(12) + b²

49 = a² + 24 + b² ( subtract 24 from both sides )

25 = a² + b²

Then

a² - ab + b²

= a² + b² - ab , substitute values

= 25 - 12

= 13

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

a³ + b³ = (a + b)(a² - ab + b²) ← substitute values

a³ + b³ = 7 × 13 = 91

Answer:

The green box would be [tex]\frac{1}{8}[/tex].

Step-by-step explanation:

[tex]\frac{1}{2^{3}} = \frac{1}{8}[/tex]

Answer:

Step-by-step explanation:

R.A. = 50(1 - .5)^3

your question askes for the decay factor "green box"

that number is 1/2 (.5)

Answer:

P = 3

Step-by-step explanation:

L = 4*w

P = 27 + w

P = 2*L + 2*w = 27 + w

2L = 2*(4w) = 8w

Put that into the perimeter formula (the first one.)

P = 8w + 2w = 27 + w

10w = 27 + w                        Subtract w from both sides

9w = 27                                Divide by 9

w = 27 / 9                          

w = 3

You should find the Length just so you can check it.

L = 4w

L = 4*3

L = 12

Check

P = 2L + 2w

P = 2*12 + 2*3 = 30

P = 27 + w

P = 27 + 3

P = 30 and everything checks.

Answer:

$410

Answer From Gauth Math

Step-by-step explanation:

This the problem of compound interest

If any amount P is invested at rate of r% per year then its value after n years is given by

amount =  

______________________________

Given

p = $190

r =8%

n = 10 year then

Answer:

y<x+5

Step-by-step explanation:

Inequalities are just like equations with equals signs.

Using that y intercept you use on the graph you can input it as b in the y=mx+b slope intercept equation.

On this line, the y-intercept is 5. If it were a regular equation with the slope of 1. m=1 and b=5 the answer would be y=x+5. The inequality doesn't do much when looking at the graph (besides the shading) so the inequality is y<x+5.