4. Randall's monthly water bill from April to July is listed in the table below. What was the percent
increase in his bill from May to July?

Formula for permutation is:

[tex] \boxed{ \tt^{n} C_{r} = \frac{n!}{r!(n - r)!} }[/tex]

Plug in the values:

Required number of ways = ²C7

[tex] \sf \frac{7!}{5!(7 - 5)!} [/tex]

[tex] \sf \frac{7 \times 6 \times \cancel{5!}}{ \cancel{5! }\times 2!} [/tex]

[tex] \sf \frac{7 \times 6 }{ 2!} [/tex]

[tex] \sf \frac{42 }{ 2!} [/tex]

[tex] \sf \frac{42 }{ 2} = 21[/tex]

Thus, The players can be selected in 21 different ways!!~

Here one player cannot be repeated so repeating is not allowed.

Total ways

[tex]\\ \rm\hookrightarrow ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

[tex]\\ \rm\hookrightarrow ^7C_5[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{7!}{5!(7-5)!}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{7!}{5!2!}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{7\times 6\times 5!}{5!(2)}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{7(6)}{2}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{42}{2}[/tex]

[tex]\\ \rm\hookrightarrow 21ways[/tex]

Answer:B $630 Per Month So B

Step-by-step explanation: $22,500-$10,000=$12,500-$4,400=$8,100-$1,800=$6,300/10Months=$630

Answer:

$690

Step-by-step explanation:

If the student will need to save every month in order to pay off the remaining costs in 10 months, the amount she will need to save per month is $690

Amount and interest

Given the following information from the question

The total cost of fee =  $23,500

Amount got as help;

An academic scholarship of $8,200.

Other scholarships and grants of $7.400.

Grandparents pay $1,000

Amount she had = 8200 + 7400 + 1000

Amount she had = $16600

Amount remaining = 23500 - 16600

Amount remaining = $6900

If the student will need to save every month in order to pay off the remaining costs in 10 months, the amount she will need to save per month is $690

https://brainly.com/question/22112075

Answer:

D

Step-by-step explanation:

There is only one vertical asymptote, x = 1.

Only D has vertical asymptote, x = 1.

Answer:

-6 is the correct answer

Step-by-step explanation:

x is the number of bags of chips

1.05x means "1.05 times x". You could write 1.05*x or omit the multiplication symbol all together.

For example, if he bought x = 100 bags then he would spend 1.05*x = 1.05*100 = 105 dollars.

Answer:

False

Step-by-step explanation:

9x0=0

0^1=0

0x9=0

0=9

The numbers don't match.

Hence, the equation is false.

Answer:

False

Step-by-step explanation:

9*0=0

0^1 =0

0*9 = 0

0≠9

Answer:

5/9, 9/12, 6/7, 6/9 are the ones I believe so far

Step-by-step explanation:

Answer:

16. L

17. I

18. H

Step-by-step explanation:

Answer:

LIH

16. L

17. I

18. H

Step-by-step explanation:

[tex]16. \sqrt{45a^{2}b } =\sqrt{(9)(5)a^{2} b} =3a\sqrt{5b}[/tex]    

[tex]17. \sqrt{54a^{2}b^{3} } =\sqrt{(9)(6)a^{2}b^{2}b } =3ab\sqrt{6b}[/tex]

[tex]18. \sqrt{45ab^{4} } =\sqrt{(9)(5)ab^{2}b^{2} } =3b^{2} \sqrt{5a}[/tex]

Hope this helps

Answer:

Put a point on (4, -4)

Count 1 down from the purple point, then go four points to the right.

Step-by-step explanation:

y=[tex]-\frac{1}{4}[/tex]x-3

the -1/4 is what tells you how much to move the point from the given one. In this case, it is one down (-1), and four to the right (4).

Answer:

9.24

Step-by-step explanation:

Step-by-step explanation:

please mark me as brainlist please

Answer:

512

Step-by-step explanation:

the number of subsets of the set {1, 2, 3, ..., 9} is : 2^9 = 512

Solution:

The solution to the given system of equation is the intersection point created with the 2 lines. The solution must satisfy all equations. We can see the intersection. To identify the solution, plot the solution on the graph.

Option C is correct.

~Refer to image for plotted solution~

Answer:

(x-3)(x+3)

Step-by-step explanation:

We are given the expression [tex]\displaystyle \large{x^2-9}[/tex]:—

To factor this expression, we have a formula for it which is difference of two squares:—

[tex]\displaystyle \large{a^2-b^2=(a+b)(a-b)}[/tex]

You can also swap from [tex]\displaystyle \large{(a+b)(a-b)}[/tex] to [tex]\displaystyle \large{(a-b)(a+b)}[/tex] via multiplication property.

From the expression, factor using the formula above:—

[tex]\displaystyle \large{x^2-9=(x^2)-(3)^2}\\\displaystyle \large{x^2-9=(x-3)(x+3)}[/tex]

Therefore, the factored expression is:—

[tex]\displaystyle \large{\boxed{(x-3)(x+3)}}[/tex]

__________________________________________________________

If you have any questions regarding the problem or need clarification of my answer/explanation, do not hesitate to ask in comment!

The market equilibrium is the point where the demand and supply functions are equal

The producer's surplus at market equilibrium for a product is #105

The functions are given as:

[tex]p = 121 - x^2[/tex]

[tex]p = x^2 + 6x + 65[/tex]

Equate both functions

[tex]x^2 + 6x + 65 = 121 - x^2[/tex]

Collect like terms

[tex]x^2 + x^2 + 6x + 65 - 121 = 0[/tex]

Evaluate the like terms

[tex]2x^2 + 6x -56 = 0[/tex]

Divide through by 2

[tex]x^2 + 3x -28 = 0[/tex]

Expand

[tex]x^2 + 7x - 4x - 28 = 0[/tex]

Factorize

[tex]x(x + 7) - 4(x +7)= 0[/tex]

Factor out x + 7

[tex](x - 4)(x +7)= 0[/tex]

Solve for x

x = 4 or x = -7

The number of units cannot be negative,

So, we have:

x = 4

Substitute 4 for x in [tex]p = 121 - x^2[/tex]

[tex]p = 121 - 4^2[/tex]

p = 105

Hence, the producer's surplus at market equilibrium for a product is #105

Read more about equilibrium at:

https://brainly.com/question/110832

Answer:

15 : 13

Step-by-step explanation:

Girls : Boys

15 : 13

Answer:

x=112

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Diagonals  of a isosceles trapezoid are congruent

3x - 16 = 10x - 86  Subtract 3x from both sides and add 86 to both sides

70 = 7x     Divide

x = 10

Step-by-step explanation:

We have to find what one share is

we have 3 shares + 2 shares + 5 shares

so he have a total of 10 shares

next, we divide 50 by total shares to get what one share is

50 ÷ 10 = 5

5 is one share

fins what each is

for 3

3 shares so 3 fives

3 × 5 = 15

for 2

2 shares so 2 fives

2 × 5 = 10

and for 5

can you work it out and leave in the comments i will say if it is correct

b. You're looking for the probability

Pr [72,972 ≤ X ≤ 90,043]

Transform X to Z ∼ Normal(0, 1) using the rule

X = µ + σ Z

with µ = 64,436 and σ = 17,071. Then the probability is

Pr [(72,972 - µ)/σ ≤ (X - µ)/σ ≤ (90,043 - µ)/σ]

≈ Pr [0.5000 ≤ Z ≤ 1.5000]

You probably have a z-score table available, so you can look up the probabilities to be about

Pr [Z ≤ 0.5000] ≈ 0.6915

Pr [Z ≤ 1.5000] ≈ 0.9332

and then

Pr [0.5000 ≤ Z ≤ 1.5000] ≈ 0.9332 - 0.6915 = 0.2417

c. The 75th percentile word count that separates the lower 75% of the distribution from the upper 25%. In other words, its the count x such that

Pr [X ≤ x] = 0.75

Transforming to Z and looking up the z-score for 0.75, we have

Pr [(X - µ)/σ ≤ (x - µ)/σ] ≈ Pr [Z ≤ 0.6745]

so that

(x - µ)/σ ≈ 0.6745

x ≈ µ + 0.6745σ

x ≈ 75,950

d. Because the normal distribution is symmetric, the middle 60% of novels have word counts between µ - k and µ + k, where k is a constant such that

Pr [µ - k ≤ X ≤ µ + k] = 0.6

Also due to symmetry, we have

Pr [µ - k ≤ X ≤ µ + k] = 2 Pr [µ ≤ X ≤ µ + k]

⇒   Pr [µ ≤ X ≤ µ + k] = 0.3

Transform X to Z :

Pr [(µ - µ)/σ ≤ (X - µ)/σ ≤ (µ + k - µ)/σ] = 0.3

⇒   Pr [0 ≤ Z ≤ k/σ] = 0.3

⇒   Pr [Z ≤ k/σ] - Pr [Z ≤ 0] = 0.3

⇒   Pr [Z ≤ k/σ] - 0.5 = 0.3

⇒   Pr [Z ≤ k/σ] = 0.8

Consult a z-score table:

Pr [Z ≤ k/σ] ≈ Pr [Z ≤ 0.8416]

⇒   k/σ ≈ 0.8416

⇒   k ≈ 14,367

Then the middle 60% of novels have between µ - k = 50,069 and µ + k = 78,803 words.

Answer:

[tex]\bold{K = 5n {}^{2} + w} [/tex]

Given ,

value of n = 4

value of w = - 6

Then ,

[tex]\bold{K = 5(4) {}^{2} + ( - 6)} \\\bold{ K = 5(16) - 6} \\\bold{ K = 80 - 6} \\ \fbox\pink{K = 74}[/tex]

hope helpful~

Answer:

Step-by-step explanation:

Here we have been provided with the values of n and w that is 4 and -6 respectively.

Equation that we have,

Substituting the values of n and w in the equation,

[tex] \implies \: \sf{k \: = \: 5(4) {}^{2} \: + \: ( - 6)}[/tex]

[tex]\implies \: \sf{k \: = \: 5(4 \times 4) \: + \: ( - 6)}[/tex]

[tex] \implies \: \sf{k \: = \: 5 \: (16) \: + \: ( - 6)}[/tex]

Multiplying 16 by 5,

[tex]\implies \: \sf{k \: = \: 5 \: \times 16 \: + \: ( - 6)}[/tex]

[tex]\implies \: \sf{k \: = \: 80 \: + \: ( - 6)}[/tex]

[tex]\implies \: \sf{k \: = \: 80 \: - \:6)}[/tex]

Subtracting 6 from 80,

[tex]\implies \: \red{\bf{k \: = \: 74}}[/tex]

Therefore, value of k is 74..!!

Answer:

The answer is 3

Step-by-step explanation:

I did this quiz before

[tex]Answer: y =\dfrac{1}{2}(x +2)^{2}+[/tex]Answer:

Step-by-step explanation:

Vertex form of quadratic function: y =a(x -h)² + k

Where (h,k) is the vertex

vertex (-2 , 6)

y = a(x -[-2])² + 6

y = a(x + 2)² + 6

This is passing through (-4,8)

8 = a(-4 + 2)² + 6

8 = a(-2)²+ 6

8  = 4a  +6

8 - 6 = 4a

4a = 2

a = 2/4

a = 1/2

[tex]Answer: y =\dfrac{1}{2}(x +2)^{2}+6[/tex]

Answer:

Money received = $(75 + 500.t)

Answer:

It is more probable that he pick two red apples than green. Because their are more red apples thank green so the chances of him picking green apples are very slim.

Have a nice day/night!

This is an example of probability without replacement and can simply be done using the formula.

The probability that both apples he ate will be green is 1/12

This is done when we pick a value from a data set and does not replace it and hence affects the value of the original data set.

Data;

Jeremy ate two apples from the basket and the probability this is green would be

[tex]8 + 4 = 12\\[/tex]

The number of green apples are = 4

[tex]\frac{4}{12} * \frac{3}{12} = \frac{12}{144} = \frac{1}{12}[/tex]

The probability that both apples he ate will be green is 1/12

Learn more on probability without replacement here;

https://brainly.com/question/11405286

#SPJ2

Answer:

360 fans were sitting in that section.

Step-by-step explanation:

multiply 24 by 15