MARKING BRAINLY ASAP

Answer:

$340

Step-by-step explanation:

$215 after 7 months including initial membership fee

$25 per month

A year has 12 months, so it's 5 months more than 7 months.

You need to find the price of 5 months and add to the price of the first 7 months that already includes the initial membership fee.

$25/month * 5 months = $125

The extra 5 months cost $125.

$215 + $125 = $340

Answer: $340

Answer:

D. 2(x - 1)(x – 3)

Step-by-step explanation:

4(x2 – 2x) – 2(x2 – 3)

We would first of all expand the expression given

This becomes

= 4x2 - 8x - 2x2 + 6

Rearrange to enable us simplify

4x2 - 2x2 - 8x + 6

= 2x2 - 8x + 6

Factorize

2 (x2 - 4x + 3)

factorizing further using the factors of 3 that add up to -4

2(x2 - x - 3x + 3)

pick out the common factors

2(x(x-1) -3(x-1)

2(x-1)(x-3)

Option D. 2(x - 1)(x – 3) is right

Using the Factor Theorem, the factored form equivalent to this expression is:

[tex]2(x - 1)(x - 3)[/tex], given by option D.

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In this problem, the expression is:

[tex]4(x^2 - 2x) - 2(x^2 - 3) = 0[/tex]

[tex]4x^2 - 8x - 2x^2 + 6 = 0[/tex]

[tex]2x^2 - 8x + 6 = 0[/tex]

Which is a quadratic equation with coefficients [tex]a = 2, b = -8, c = 6[/tex].

Hence:

[tex]\Delta = b^2 - 4ac = (-8)^2 - 4(2)(6) = 16[/tex]

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{8 + 4}{4} = 3[/tex]

[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{8 - 4}{4} = 1[/tex]

Hence, the expression is:

[tex]2(x - 1)(x - 3)[/tex], given by option D.

You can learn more about the Factor Theorem at https://brainly.com/question/24380382

Answer and explanation:

Null hypothesis: p is not 54%

Alternative hypothesis : p is equal 54%

First find standard deviation

Standard deviation is:

σ = √[ P ( 1 - P ) / n ] = √[ 0.54×0.46/220 ] =0.033

The z score is calculated p-P/σ = (0.54-0.50)/0.033 = 1.2121

Therefore we can conclude that proportions are not same and fail to reject the null hypothesis

Answer:

55% of 880= 484

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Take the biggest value and smallest value, and subtract the smallest value from the biggest value:

9-1=8

The range is 8

The numbers provided are 1, 2, 3, 4, and 9. Subtract the greatest from least,

9 - 1, and your answer is 8

Answer:

1/4

Step-by-step explanation:

3/12 ÷3= 3÷3=1 and 12÷3=4

Answer:

20x?

Step-by-step explanation:

Answer:

it will = 17+3x. hope it helps

Answer:

About 159 weigh more than 165 g and about 159 g weigh less Than 135 g

Step-by-step explanation:

Given that :

Mean, μ = 150

Standard deviation, σ = 15

Using the Zscore formula :

Zscore = (x - μ) / σ

For x > 165

P(x > 165)

Z = (165 - 150) / 15

Z = 15 /15 = 1

P(Z > 1) = 0.15866 (Z probability calculator)

1000 * 0.15866 = 158.66 = 159

For x < 135

P(x < 135)

Z = (135 - 150) / 15

Z = - 15 /15 = - 1

P(Z > - 1) = 0.15866 (Z probability calculator)

1000 * 0.15866 = 158.66 = 159

Answer:

160 and 160

Step-by-step explanation:

each section is 16% of the whole.

Answer:

The answer is <

Answer:

607.23

Step-by-step explanation:

Answer:

6723

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

18 × 2 = 36

Because 1/2 is half of 1 kg so multiply by 2 it makes 1 kg

Answer:

x=7.5

Step-by-step explanation:

Since AD II EH, ∠CBD=∠BFH (alternate angles)

2x+60=10x

8x=60

x=7.5

Answer:

x = 7.5

each angle measures 75°

Step-by-step explanation:

the two angles are corresponding, meaning they are equal

10x = 2x + 60

8x = 60

x = 7.5

Answer:

2670

Step-by-step explanation:

4500/300 = 15

178*15=2670

Answer:

Step-by-step explanation:

A salt solution contains 10% salt and weights 80g.

Salt content of the solution is:

4% solution has 8 g salt, total solution is:

Water to be added:

Answer:

f(x) = 3.25x + tips

x = hours

Step-by-step explanation:

Step-by-step explanation: We know how much Alexander gets paid ($3.25) but we don't know how many hours he works. So, the equation will contain a variable.

H will be our variable, it will represent hours.

Therefore, the answer is: f(h) = 3.25 + tips

Definitions:

Variable: A letter representing the unknown.

Equation: A mathecial setence.

Answer:

The answer is

1052

Answer:

Charles will have $1,052 after 30 weeks

Step-by-step explanation:

Charles has $54.50 saved.

He plans to save $33.25 each week.

This means that the first week he will have $54.50 + $33.25 = $87.75

When 30 weeks have passed, he will have:

$54.50 + $33.25 * 30 = $54.50 + $997.50 = $1,052

Charles will have $1,052 after 30 weeks

Answer:

$26280

Step-by-step explanation:

Cuz i said so

Answer:

g=15.04

Step-by-step explanation:

g=4.7×3.2=15.04

Answer:

g/=15.03

Step-by-step explanation:

i hope it's correct in sorry if not

Answer:

in order

y=0

y=1

y=2

y=3

y=4

y=5

Answer:

You need two equations: one for solution amounts and one for alcohol amounts.

Step-by-step explanation:

90 = X + Y

45 = (0.6)/X + (0.3)Y

Here X = amount of 60 % solution and Y = amount of 30 percent solution. Note that percentages have been converted to decimal amounts in the second equation.

From here you have to solve two equations with two unknowns. Easiest to solve first equation for X = 90 - Y, then substitute into second equation. this get you one equation in one unknown. Solving you you will get

X = 30 liters and Y = 60 liters.

Answer:

approximately 7 CDs for her bonus

Answer:

Toris can buy about 7 CDs

Step-by-step explanation:

63 Divided by 9 = 7

The relation which is a function is given by the set relation

A = { ( 0 , 4 ) , ( 1 , -4 ) , ( 2 , 4 ) , ( 3 , 4 ) , ( 4 , -4 ) }

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

Let the values of x be x = { 0 , 1 , 2 , 3 , 4 }

Now , the values of y = { 4 , -4 , 4 , 4 , -4 }

And , relation is a function if and only if there exists one value in the range for every domain value.

So , the domain are all having significant and definite ranges

Therefore , the relation is A = { ( 0 , 4 ) , ( 1 , -4 ) , ( 2 , 4 ) , ( 3 , 4 ) , ( 4 , -4 ) }

Hence , the function is denoted by A = { ( 0 , 4 ) , ( 1 , -4 ) , ( 2 , 4 ) , ( 3 , 4 ) , ( 4 , -4 ) }

To learn more about function rule click :

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) c/8

b) 16+5p

c) (x+5)-5

Answer:

9. 80

Step-by-step explanation: ssssssse

[tex]6(2x - 5) = - (x + 4)[/tex]

[tex]12x - 30 = - x - 4[/tex]

[tex]13x = 26[/tex]

[tex]x = 2[/tex]

Answer:

x = 2

Step-by-step explanation:

Solve for x:

6(2x - 5) = -(x + 4)

Use the distributive property.

12x - 30 = -(x + 4)

12x - 30 = -x - 4

Add x to both sides.

13x - 30 = -4

Add 30 to both sides.

13x = 26

Divide both sides by x.

x = 2

Your final answer would be x = 2

Answer:

99 / 324,870 or 3%

Step-by-step explanation:

there are 12 face cards out of a total of 52 cards

probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]

The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Since 5 cards are drawn at random from a standard deck

Also, we know that

there are 12 face cards out of a total of 52 cards

So here the probability be like

[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]

= [tex]99 / 324,870[/tex]

Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Learn more about probability here: https://brainly.com/question/21102470

Answer:

d. t-test for means

Step-by-step explanation:

Options are "a. z-test for proportions, b. z-test for means, c. none of the other three answers, d. t-test for means"

Sample size = n = 120

Sample mean = x = 0.8

Sample standard deviation = s = 2

Claim: A particular diet helps loss weight.

Hypothesis test

The null and alternative hypothesis is

H0 : μ = 0

Ha : μ < 0

Now, when population standard deviation is unknown we use t-test otherwise use z-test. So, the kind of hypothesis testing that we use is t-test for means.