Find x and y

Help me please

Given:

Total number of gym members = 685

257 said they use the treadmill, 157 said they use the elliptical, and 85 said they use both.

To find:

a. The venn diagram.

b. The probability that a member uses the treadmill only?

Solution:

(a)

We have,

Total number of gym members = 685

Treadmill user = 257

Elliptical user = 157

Who use both = 85

Only treadmill user is:

[tex]257-85=172[/tex]

Only Elliptical used

[tex]157-85=72[/tex]

Therefore, the venn diagram for the given situation is shown below.

(b)

The member who use treadmill only = 172

Total user = 685

The probability that a member uses the treadmill only is:

[tex]P(\text{Only treadmill})=\dfrac{\text{Only treadmill users}}{\text{Total users}}[/tex]

[tex]P(\text{Only treadmill})=\dfrac{172}{685}[/tex]

Therefore, the probability that a member uses the treadmill only is [tex]\dfrac{172}{685}[/tex].

Answer:

[tex]x = - 59[/tex]

Step-by-step explanation:

[tex](6x + 28) = (7x + 87)[/tex]

[tex]6x + 28 = 7x + 87[/tex]

[tex]6x - 7x = 87 - 28[/tex]

[tex]1x = - 59[/tex]

[tex]x = - 59[/tex]

Given:

For two events X and Y,

[tex]P(X)=\dfrac{2}{3}[/tex]

[tex]P(Y)=\dfrac{2}{5}[/tex]

[tex]P(X|Y)=\dfrac{1}{5}[/tex]

To find:

The probabilities [tex]P(Y\cap X), P(Y)\cdot P(X)[/tex].

Solution:

Using the conditional probability:

[tex]P(X|Y)=\dfrac{P(Y\cap X)}{P(Y)}[/tex]

[tex]P(X|Y)\times P(Y)=P(Y\cap X)[/tex]

Substituting the given values, we get

[tex]\dfrac{1}{5}\times \dfrac{2}{5}=P(Y\cap X)[/tex]

[tex]\dfrac{2}{25}=P(Y\cap X)[/tex]

And,

[tex]P(Y)\times P(X)=\dfrac{2}{5}\times \dfrac{2}{3}[/tex]

[tex]P(Y)\times P(X)=\dfrac{4}{15}[/tex]

Therefore, the required probabilities are [tex]P(Y\cap X)=\dfrac{2}{25}[/tex] and [tex]P(Y)\times P(X)=\dfrac{4}{15}[/tex].

Answer:

A is the correct answer.

Answer:

(a) T = 16√x

Step-by-step explanation:

T is directly proportional to √x, so we can say,

T=k√x (where k is a constant)

now, according to the question,

400=k×√625

400=k×25

k=16

so, putting the value of k in the equation, T=16√x

Answered by GAUTHMATH

Step-by-step explanation:

Given that ,

Mathematically we can write it as ,

[tex]\implies T \propto \sqrt{x}[/tex]

Let k be the constant , therefore ,

[tex]\implies T = kx [/tex]

Now when T = 400 and x = 625 , lets find the value of k , as ,

[tex]\implies 400 = k\times 625 \\\\\implies k =\dfrac{400}{625}\\\\\implies k= 0.64 [/tex]

Therefore the required formula will be ,

[tex]\implies \underline{\underline{ T = 0.64x}} [/tex]

Answer:

A

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

s × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

s = 4 → A

Answer:

2400

Step-by-step explanation:

2244 is the final price. it includes the VAT based on the actual sale price. and that is then actually 15% lower than the originally marked price.

so, let's calculate backwards :

2244 = 100% sale price + 10% VAT = 110%

1% = 2244 / 110 = 20.40

100% (actual sale price) = 20.40×100 = 2040

now, because of the 15% discount, these 2040 are only 85% of the originally marked price.

2040 = 85%

1% = 2040 / 85 = 24.00

100% (the original marked price) = 24×100 = 2400

Answer:

The answer should be: B

I think it's B because there are 2 cups of water (2c) and 7 bottles of water (7w) which costs $16 so that would be 2c +7w=16. Also for the other one, it's 3 cups (3c) and 8 bottles of water (8W) and the cost is $19 so that would be

3c + 8w =19

Step-by-step explanation: Hope this helps and gl :))

Answer:

because internal staggal angles are equal

Step-by-step explanation:

The first reason is wrong.

Angle EGH and DEG are internal staggal angles:

the two angles are on both sides of the cut line EG, and the two angles are between the two divided lines.

{the definition of internal staggal angle}

Answer:

not sure, sorry : p

Step-by-step explanation:

Answer:

$275

Step-by-step explanation:

Find his sales by dividing 55 by 0.2:

55/0.2

= 275

So, his sales for the week were $275

Answer:

[tex]0.67x-2=0.43[/tex]

Step-by-step explanation:

2/3 = 0.6 repeating

3/7 = 0.42857

Answer:

Answer:

english pls :c

Step-by-step explanation:

Answer:

Step-by-step explanation:

-9 is greater than the value of -12 because -9 is to the right of -12 on the number line.

The question is incomplete. The complete question is :

Small Manufacturing Company has a standard overhead rate of $42 per hour. The labor rate is $15 per hour. Overhead is applied based on direct labor hours. Jobs B-1 and B-2 were completed during the month of March. Small incurred 140 hours of indirect labor during the month. Job B-1 used 82 direct labor hours and $3650 worth of direct material used. Job B-2 used 130 direct labor hours and $2,900 worth of direct material. What is the total cost of job B-2? Round to closest whole dollar (no cents).

Solution :

Particulars                                                        Job B-2

Direct material used                                        $ 2,900

Add : Direct labor cost (130 hours x $15)       $ 1,950

Add : overhead cost (130 hours x $ 42)         $ 5,460  

Total Cost of Job B-2                                      $ 10,310

Therefore, the total cost of the Job B-2 is $ 10,310.

Answer:

Step-by-step explanation:

Q(18) is a direction. It means that wherever you see a variable like x on the right, you put an 18 in for it. For example Suppose the right looked like

Q(x) = x^2 + 10 Then Q(18) would mean

Q(18) = 18^2 + 10

Q(18) = 324 + 10

Now we come to the second equation (b)

What that means is that after you do all the calculations, your answer is

27.5

So for the first question(a) Q(18) = 334

A is the direction of what to do. It is the question.

B is the answer

Answer:

- 2 and - 2

Step-by-step explanation:

let the 2 numbers be x and y , then

x + y = - 4 → (1)

x - y = 0 → (2)

Add the 2 equations term by term to eliminate y

2x + 0 = - 4

2x = - 4 ( divide both sides by 2 )

x = - 2

Substitute x = - 2 into either of the 2 equations and solve for y

Substituting into (1)

- 2 + y = - 4 ( add 2 to both sides )

y = - 2

The 2 numbers are - 2 and - 2

Answer:

y= x + 3

Step-by-step explanation:

we know that

The linear equation in slope-intercept form is equal to

y= mx + b

where

m is the slope

b is the y-intercept

step 1:

Find the slope

Take two points from the graph

see the attached figure

about (37,40) and (47,50)

The formula to calculate the slope between two points is equal to: y2-y1

                                                                                                               x2-x1              

substitute

M= 50-40/47-37

10/10 = 1

step 2:

Find the y-intercept

we have: m=1

point (37,40)

substitute in the linear equation: 40= (1) (37) + b

solve for b: 3

therefore

The linear equation is: y = x + 3

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

Explanation:

x = original amount of caster oil (in quarts)

Since 15% remains, this means you used 85% of the original amount x.

Note how 15% + 85% = 100%

So,

85% of x = 34 quarts

0.85x = 34

x = 34/0.85

x = 40

You started with 40 quarts of oil.

15% of that remains, meaning 0.15*40 = 6 quarts of oil are left over.

-----------

We could also solve like this

(amount used)/(amount total) = (percent)/(100)

34/x = 85/100

34*100 = x*85

3400 = 85x

85x = 3400

x = 3400/85

x = 40

So we end up with the same x value as before, and we follow the same set of steps at the end of the first section to end up with the answer of 6 quarts.

Answer:

The first choice, Equation A and equation C.

Step-by-step explanation:

The lines A and C are intersecting in the point (0,8). That is the solution for those lines.

Given:

The polynomial is:

[tex]p(x)=x^2-1[/tex]

To find:

Whether [tex]x=-2[/tex] is a zero of the given polynomial or not.

Solution:

If [tex]x=c[/tex] is a zero of a polynomial, then [tex]f(c)=0[/tex].

We have,

[tex]p(x)=x^2-1[/tex]

Putting [tex]x=-2[/tex] in the given polynomial.

[tex]p(-2)=(-2)^2-1[/tex]

[tex]p(-2)=4-1[/tex]

[tex]p(-2)=3[/tex]

Since [tex]p(-2)\neq 0[/tex], therefore [tex]x=-2[/tex] is not a zero of the given polynomial.

Answer:

6.5

Step-by-step explanation:

We need to solve out for x , the given Equation is ,

[tex]: \implies[/tex] x - 3x + 2 = -11

[tex]: \implies[/tex] -2x = -11 -2

[tex]: \implies[/tex] -2x = -13

[tex]: \implies[/tex] x = -13/-2

[tex]: \implies[/tex] x = 6.5

Answer:

x = 6.5

Step-by-step explanation:

[tex]x - 3x + 2 = - 11 \\ - 2x + 2 = - 11 \\ - 2x = - 11 - 2 \\ \frac{ - 2x}{ - 2} = \frac{ - 13}{ - 2} \\ x = + 6.5 [/tex]

Answer:

A, C, and D

Step-by-step explanation:

Answer:

the answer is A, C And D

Step-by-step explanation:

ADC

Answer: 31.25%

Two ways to solve this problem:

#1: Use the formula: [tex]P(X=x)={n}Cx_{} *p^{x}*(1-p)^{n-x}[/tex]

#2 Use a graphing calculator and use the function binompdf(n, p, x)

#1: Formula:

[tex]P(X=3)=_{6}C_{3}*0.5^{3} *(1-0.5)^{6-3}=\frac{6!}{3!(6-3)!} *0.5^{3} *0.5^{3}\\=\frac{6!}{3!*3!} *0.5^{3} *0.5^{3}=20*0.125*0.125=0.3125[/tex]

#2: Faster method

binompdf(6, 0.5, 3) = 0.3125

Answer: 31.3 is the real answer.

Step-by-step explanation:

Answer:

-1x - 1

Step-by-step explanation:

the factor of x is the slope of the line in the form of y/x.

it simply says how many units y changes for a given change of x.

in our diagram we can see that when x changes one unit to the right (positive), y changes 1 unit down (negative).

so, the slope or factor of x = -1/1 = -1

and when x=0, y=-1.

so, the constant offset in the line equation is -1 too.

so, it is

y = -x - 1

or as explicit factor for x

y = -1×x - 1

Answer:

6x 2 = 12

Step-by-step explanation:

Answer:

24

EXPLANATION:

there's 4 different outcomes for the Penny and Quarter combos

- P Heads and Q Heads

- P Tails and Q Heads

- P Heads and Q Tails

- P Tails and Q Tails

Each of those outcomes will have one of six numbers so I just figured

6 outcomes for number cube × 4 outcomes for P and Q (penny and quarter)

6 × 4 = 24

:)

Answer:

Step-by-step explanation:

resolver. Álgebra 1

14=4-6x-2

4-6x-2 : 2

Rpta: 2

Answer:

Multiplication

Amount Tom earns per hour = $7

Step-by-step explanation:

Amount Jeff earns per hour = $14

Amount Tom earns per hour = 1/2 × $14

Note: 1/2 = 0.5

Amount Tom earns per hour = 1/2

× $14

= 0.5 × $14

= $7

Amount Tom earns per hour = $7