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Gamers: Two dollars for every game downloaded.
Game World: $15 per month and $0.50 per game downloaded.

a) How much money would it cost if you downloaded 6 games from Gamers? Show your work, using the equation c=2d, where c is the cost and d is the number of downloads.

b) Write an equation for the cost per month at Game World, using c for cost and d for downloads.

c) Which equation is represented in the graph below, Gamers or Game World? Justify your answer using mathematical reasoning.



d) If you plan on downloading 8 games per month, which would be the best plan to buy? Justify your answer using mathematical reasoning.

e) Justin has a membership to Gamers and he says his plan is better than Game World’s. Kenny, who has a membership to Game World, disagrees. Who is correct? Justify your answer using mathematical reasoning.

f) How many games would Justin and Kenny have to download to make the same monthly payment? How do you know?

Answer:

Balance will be £3.92

Step-by-step explanation:

Cost of  1 loaf = £1.52

Therefore, cost of 4 loaves = 4 x 1 . 52 = £6.08

So if you pay with £10 your balance will be = 10.00 - 6.08 =  £3.92

The solution is  £ 3.92

The amount of money after the purchase of 4 loaves of bread is given by the equation A = £ 3.92

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 equation be represented as A

Now , the value of A is

The total amount of money = £ 10

The cost of one loaf of bread = £ 1.52

Now , the number of loaves of bread = 4 loaves

So , the cost of 4 loaves of bread = 4 x cost of one loaf of bread

Substituting the values in the equation , we get

The cost of 4 loaves of bread = 4 x 1.52

The cost of 4 loaves of bread = £ 6.08

The amount of money after the purchase A = total amount of money - cost of 4 loaves of bread

Substituting the values in the equation , we get

The amount of money after the purchase A = £ 10 - £ 6.08

The amount of money after the purchase A = £ 3.92

Therefore , the value of A is £ 3.92

Hence , the amount is £ 3.92

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Answer:

PE/SE = 5.02×10¹

Step-by-step explanation:

Sun-Earth (SE) = 93×10⁶ miles

Pluto-Earth (PE) = 4.67×10⁹ miles

so, PE/SE = (4.67×10⁹) / (93×10⁶) = (4.67×10³)/93 =

= 50.215053763440860215... =

= 5.02×10¹ / 1 or simply 5.02×10¹

in other words, Pluto is a little bit more than 50 times farther away from Earth, than Earth is from the Sun.

Answer:

$1827

Step-by-step explanation:

Since Cheryl is said to be paid an exempt salary. Then it can be said that Cheyk does not qualify for minimum wage or overtime pay, Hence, exempt payment is in terms or salary rather than wage. Similarly. Gross earning refers the amount a worker receives as income over a certain period of time. The gross income has not been subjected to tax charges or any form of deduction. Hence, it could be said to be the outright earning paid to an employee before any deduction is made.

Hence, Cheryl's gross weekly earning is $1827 per week.

Answer: Hello your question has some missing data that I was able to find and attach below

A recent 10-year study conducted by a research team at the Great Falls Medical School was conducted to assess how age, systolic blood pressure, and smoking relate to the risk of strokes. Assume that the following data are from a portion of this study. Risk is interpreted as the probability (times 100) that the patient will have a stroke over the next 10-year period. For the smoking variable, define a dummy variable with 1 indicating a smoker and 0 indicating a nonsmoker.

answer :

The condition : Client age ≤ 31.26 years

Step-by-step explanation:

First step : perform a regression analysis via excel ( result attached below )

P-value = 2.06E-07

Next determine the condition on which the company will sell its policy

Y = - 91.7595 +  1.0767x1 + 0.2518x2 + 8.7399x3

1  < -91.7595 + 1.0767x1 + 0.2518*200 + 8.7399*1

make X1 subject of equation above

X1 < 31.26

Answer:

-

Null hypothesis             H₀ : σ² ≤ 0.02

Alternative hypothesis Hₐ  : σ² > 0.02

- Chi Square = 51.2

- p-value = 0.1104

- since the calculated p-value ( 0.1104 ) is greater than the level of significance ( 0.05 ).

We fail to reject null hypothesis.

- So at, 5% level of significance, there is no evidence to support that the variance in the cereal box fillings is designed to be 0.02 or less.

Step-by-step explanation:

Given the data in the question;

filling variance for boxes of cereal is designed to be .02 or less

sample size n = 41 boxes

standard deviation S = 0.16 ounces

level of significance = 0.05

Hypothesis;

Null hypothesis             H₀ : σ² ≤ 0.02

Alternative hypothesis Hₐ  : σ² > 0.02

{ Upper tail test }

Test statistics;

Chi Square = [ ( n-1 ) × S² ] / σ²

Chi Square = [ ( 41-1 ) × (0.16)² ] / 0.02

Chi Square = [ 40 × 0.0256 ] / 0.02

Chi Square = 1.024/ 0.02

Chi Square = 51.2

Degree of freedom df = n - 1 = 41 - 1 = 40

Chi square value at 0.05  and df of 40 = 55.7585

p-value = 0.1104

since the calculated p-value ( 0.1104 ) is greater than the level of significance ( 0.05 ).

We fail to reject null hypothesis.

So at, 5% level of significance, there is no evidence to support that the variance in the cereal box fillings is designed to be 0.02 or less.

Answer:

24

Step-by-step explanation:

diff is 12

12x2 is 24

Step-by-step explanation:

10x-3(x-6)=x+30

10x-3x+18=x+30

7x+18=x+30

6x=12

x=2

Answer:

x=2

Step-by-step explanation:

10x-3(x-6)=x+30

Distribute

10x -3x+18 = x+30

Combine like terms

7x +18 = x+30

Subtract x from each side

7x-x +18 = x+30-x

6x +18 = 30

Subtract 18

6x+18-18 = 30-18

6x = 12

Divide by 6

6x/6 = 12/6

x=2

Answer:

A = -1

B = -3

Step-by-step explanation:

you need to do all the multiplication on both sides and then simply compare the factors of the various powers of x.

so,

-9x² - 9×A×x + 2 = 3×B×x² + 6x -Bx - 2 + 4

-9x² - 9×A×x + 2 = 3×B×x² + (6-B)x + 2

the x-less constants 2 = 2 are correct. now we need to compare the factors for the other parts of x.

we have left and right only one expression of x²

-9x² on the left

3×B×x² on the right

therefore,

-9 = 3×B

=> B = -3

otherwise the equation would not be correct for all values of x.

the only other parts remaining are

-9×A×x = (6-B)x = (6 - -3)x = (6+3)x = 9x

=>

-9×A = 9

-A = 1

A = -1

remember, all parts of the left and of the right side must be equal for the equation to be true in all cases.

Answer:

What does it mean?

explain properly i will answer your question.

Answer:

Answer:

the answer is c. 300

Step-by-step explanation:

18+32×12÷2

base 1 + base 2 × height ÷ 2

Answer:

Step-by-step explanation:

abcdefghijklmnopqrstuvwxyz

Answer:

Step-by-step explanation:

2x − y = 4

2x − 4 = y

y = 2x - 4

negative inverse of slope is perpendicular

y = -1/2 x - 4

~~~~~~~~~~~~~~~~~~~~~~~

point slope form  of a line

(-5, 1) & m = -1/2

1 = -1/2 (-5) + b

1 = 5/2 + b

b = -3/2

Final answer:  y = -1/2 x - 3/2

or if you prefer: 2y + x = -3

Answer : A,D,G

Step-by-step explanation:

A factor of experiment is the controlled independent variable.

The factor of experiments are,

Hence option d,e,f and g is the factor of experiment.

A factor of experiment is the controlled independent variable.

Given information

The experiment is conducted on the basis of age.

The experiment is not conducted on the basis of gender.

In the experiment the relation between watching TV a lot or playing video game and child's academic success at school and/or their success at sports tried to obtained.

Factors of this experiment-

Thus the factor of experiments are,

Hence option d,e,f and g is the factor of experiment.

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Answer:

The 95% confidence interval is ( 27.126 , 34.674)

Step-by-step explanation:

Given

The t critical value at 0.05 level = 2.023 for the df = 39

Confidence interval = 95%

Mean  

[tex]\bar{x} - t * \frac{s}{\sqrt{n} } < \mu < \bar{x} + t * \frac{s}{\sqrt{n} }[/tex]

Substituting the given values we get -

[tex]\30.9 - 2.023 * \frac{11.8}{\sqrt{40} } < \mu < \30.9 + 2.023 * \frac{11.8}{\sqrt{40} }\\27.126 < \mu < 34.674[/tex]

Hence, the 95% confidence interval is

( 27.126 , 34.674)

Answer:

b) f(x) = x + 6

Step-by-step explanation:

The coordinate (0, 6) makes the y-intercept = 6. Only one of these functions has that intercept: f(x) = x + 6. If you plug in each coordinate the outputted y-value matches up, making this the right answer.

Problem 22

a)

The face cards are Jack, Queen, King. We have four copies of each.

There are 3*4 = 12 face cards total.

12/52 represents the probability of picking a face card.

4/52 represents the probability of picking an ace, since we have 4 aces out of 52 cards. We don't drop to 51 since we put the first card back.

Multiplying the fractions gives (12/52)*(4/52) = 48/2704 = 3/169

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

b)

We do the same steps as before, but the 4/52 will be changed to 4/51. This is because the first card is not put back.

(12/52)*(4/51) = 48/2652 = 4/221

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

Problem 23

a)

4/52 represents the probability of picking a '2', and it also represents the probability of picking a '10' if we put the first card back

(4/52)*(4/52) = 16/2704 = 1/169

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

b)

We'll change the second instance of 4/52 into 4/51 because that first card isn't put back

(4/52)*(4/51) = 16/2652 = 4/663

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

Problem 24

a)

4/52 = probability of picking an ace

12/52 = probability of picking a face card

4/52 = probability of picking '7'

Each denominator is 52 because we are putting the cards back

(4/52)*(12/52)*(4/52) = 192/140608 = 3/2197

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

b)

We do the same thing as before, but we decrease the denominator by 1 each time we pull out another card

(4/52)*(12/51)*(4/50) = 192/132600 = 8/5525

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

Problem 25

a)

The probability of picking a king is 4/52. This is the same whether we're on the first king, second or third. This is because we're putting the card back.

(4/52)*(4/52)*(4/52) = 64/140608 = 1/2197

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

b)

Now that the cards aren't put back, we'll have the denominators drop by 1 each time (52,51,50)

So the probability is

(4/52)*(4/51)*(4/50) = 64/132600 = 8/16575

Answer:  First Number Line

Step-by-step explanation:

Answer:

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Step-by-step explanation:

sorry di ko po alam godbless po

Answer:

The correct answer is "7,239".

Step-by-step explanation:

Given values:

Standard price,

SP = $1.90

Actual quantity purchased,

AQP = [tex]5.08\times 9500[/tex]

        = [tex]48,260 \ Yards[/tex]

Actual price,

AP = $2.05

Now,

The material price variance will be:

= [tex](AQP\times AP)-(AQP\times SP)[/tex]

By substituting the values, we get

= [tex](48260\times 2.05)-(48260\times 1.90)[/tex]

= [tex]98933-91694[/tex]

= [tex]7,239[/tex]

Answer:

C

Step-by-step explanation:

The absolute value of |13| and |-13| is always 13. It never goes negative unless there is a minus sign outside the absolute value |  |   symbol. A is wrong

B: Not correct. Read the explanation for A. The answer to B is - 13

C: Correct. See the remark the was made about A

D: Incorrect as well. The minus is outside the absolute value symbol. The answer is - 13

Answer:

C .////.

Step-by-step explanation:

When you have /13/ its always positive even if there's a negative in there. If there was the negative symbol on the outside its a negative number :)

Answer:

If we define W as the width:

12m  ≤ W  ≤  22m

Step-by-step explanation:

We have a rectangle with length L and width W.

We know that:

"The length of a rectangle should be 9 meters longer than 7 times the width"

Then:

L = 9m + 7*W

We also know that the length must be between 93 and 163 meters long, so:

93m ≤ L ≤ 163m

Now we want to find the restrictions for the width W.

We start with:

93m ≤ L ≤ 163m

Now we know that L = 9m + 7*W, then we can replace that in the above inequality:

93m ≤  9m + 7*W ≤ 163m

Now we need to isolate W.

First, we can subtract 9m in the 3 sides of the inequality

93m - 9m  ≤  9m + 7*W  -9m ≤ 163m -9m

84m ≤ 7*W ≤ 154m

Now we can divide by 7 in the 3 sides, so we get:

84m/7 ≤ 7*W/7 ≤ 154m/7

12m  ≤ W  ≤  22m

Then we can conclude that the width is between 12 and 22 meters long.

Answer:

A) (2x+3)(x+7) B) (3x-2)(x-5)

Step-by-step explanation:

A) 2x^2+17x+21=(2x+3)(x+7)

B) 3x^2-17x+10=(3x-2)(x-5)

Answer:

The missing angle is 120

Step-by-step explanation:

Given

See attachment

Required

The missing angle (?)

Let the missing angle be x

So:

[tex]x + 60 = 180[/tex] --- angle on a straight line

Collect like terms

[tex]x = 180-60[/tex]

[tex]x = 120[/tex]

Step-by-step explanation:

For the first one, you have the -2 step right, but now we're at

f(x) -2 = x³

We have to take the cube root of each side to solve for x, which looks like

∛(f(x)-2) = x or (f(x)-2)^(1/3) = x. This makes our inverse function ∛(x-2) Putting a 3 to the side multiplies the value by 3, and doesn't cube root it.

For your next incorrect answer, you simply need to plug the inverse function that I just gave in.

For the one after that, the question is asking to plug in f(x). We know that our inverse is ∛(x-2) , and the question is asking to plug f(x) in for x here. Thus, in the box, simply put down x³+2

For the last incorrect answer, we need to find the cube root of something, and by plugging in f(x) into the previous one, we are left with ∛(x³+2-2). Therefore, in the box, simply put down x³ as that is what's left

Answer:

6

Step-by-step explanation:

1) A B C

2) B A C

3) C A B

4) A C B

5) B C A

6) C B A

(I probably understood it incorrectly)

Step-by-step explanation:

everything can be found in the picture

As per the given angle values, the value of sin θ = √19 / 10, cot θ = 9 / √19 and csc θ = 10 / √19.

Let's begin by labeling the sides of the right-angled triangle. The hypotenuse is the side opposite the right angle and has a length of 10 units. The adjacent side, which is the side adjacent to the angle θ, has a length of 9 units.

Using these side lengths, we can apply the trigonometric definitions to find the required values:

Sine (sin θ):

The sine of an angle θ in a right-angled triangle is defined as the ratio of the length of the side opposite the angle (opposite side) to the length of the hypotenuse. The formula for sine is: sin θ = opposite / hypotenuse.

In our case, the opposite side is the side we want to find, and the hypotenuse is 10 units. Therefore, sin θ = opposite / 10.

Using the Pythagorean theorem:

opposite² + 9² = 10²

opposite² + 81 = 100

opposite² = 100 - 81

opposite² = 19

opposite = √19 (taking the positive square root as the length cannot be negative)

Now, we can calculate sin θ:

sin θ = √19 / 10

Cotangent (cot θ):

The cotangent of an angle θ in a right-angled triangle is defined as the ratio of the length of the adjacent side to the length of the opposite side. The formula for cotangent is: cot θ = adjacent / opposite.

In our case, the adjacent side is 9 units, and we have already found the length of the opposite side, which is √19. Therefore, cot θ = 9 / √19.

Cosecant (csc θ):

The cosecant of an angle θ in a right-angled triangle is defined as the ratio of the length of the hypotenuse to the length of the opposite side. The formula for cosecant is: csc θ = hypotenuse / opposite.

Again, the hypotenuse is 10 units, and the opposite side is √19. Thus, csc θ = 10 / √19.

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Answer: The Last Choice- D. 2/3 x 2/5

Step-by-step explanation:

I guessed the answer............ JK

1/3 x 1/5 = 1/15

1/3 x 2/5 = 2/15

2/3 x 1/5 = 2/15

2/3 x 2/5 = 4/15

So, the last choice is correct.

Step-by-step explanation:

jnx-avkj-uup p.l.z join

Answer:

<3=75°

Step-by-step explanation:

Angle 3 and angle 2x+95 are supplementary( supplementary angles add up to 180°)

So <3+2x+95=180

<3+2x=180-95

<3+2x=85( let's call this equation 1)

Next, angle 5 and angle 8x+71 are opposite angles (opposite angles are equal) therefore <5=8x+71

Now, <3 and <5 are co-interior angles(co-interior angles are supplementary)

So <3+8x+71=180

<3+8x=180-71=109

Thus, <3+8x=109(let's call this equation 2)

Now solving equation 1 and 2 simultaneously:

Make <3 the subject of equation 1

<3=85-2x

Put <3=85-2x into equation 2

85-2x+8x=109

6x=24

x=24/6=4

Now, remember that angle 2x+95 becomes

2(4)+95

8+95=103°

Therefore<3=180-105=75°