Scooter rental company A charges an initial fee of $3 plus $1.15 for every hour. Scooter rental company B charges $1.75 for every hour. A customer finds that after h hours, the scooter rental companies will cost the same.

Which equation represents this situation?

Answer:

lowest score is 5.35531

highest score is x=5.45961

Step by step Explanation:

· A Z-score reffered to as a numerical measurement that identifies a value's relationship to the mean of a group of values. Z-score is usually measured in terms of standard deviations from the mean.

We were to Consider a value to be significantly low if its z score less than or equal to minus2 or consider a value to be significantly high if its z score is greater than or equal to 2

the z-score is given by:

z-score=(x-μ)/σ

where:

x=score

μ=mean=5.45961

σ=std deviation=0.05215

To calculate the lowest cost when the the z-score is -2, we have

\(-2=(x-5.45961)/0.05215\)

To get the value of x then we collect like terms

-0.1043 = =(x-5.45961)

x=-0.1043 + 5.45961

\(X=5.35531\)

therefore, the lowest score is 5.35531

Let us calculate the highest score when the z-score is 2 ,

then highest score will be:

\(2=(x-5.45961)/0.05215\)

To get the value of x then we collect like terms

0.1043 = =(x-5.45961)

x=0.1043 + 5.45961

\(X=5.45961\)

therefore the highest score is x=5.45961

Since line segment SP is a diameter, the measure of arc PTS is 180 degrees. 180 - 42 = 138 degrees, which is the measure of arc PT. 97 + 42 + 138 = 277 degrees for the measure of arc PTR

Answer:

32.5 feet long and 20 feet wide

Step-by-step explanation:

To solve for the length first, you have it measured as 26 in long and each 4 in is 5 ft so you can go ahead and divide 26 in by 4 in and that gives you 6.5 in so what we did was figure out how many 4 in were in 26 in and therefore we have a 6.5 and so just to match that to the 5 ft per each 4 in (in this case we have 6.5) so we multiply 6.5*5 and that equals 32.5 ft which is the length of the garden bed.

Next we are going to solve for the width which is 16 in wide in the scale and so again each 4 in is 5 ft so here again we're going to divide 16 in by 4 in and that equals 4 in and so again each 4 in is 5 ft so we're going to go ahead and multiply 4 * 5 and that gets you 20 ft which is the width of the garden bed.

The value that should be the area of the circle, B whole be = About 900 in². That is option C.

The formula that can be used to calculate the area of a circle = πr²

But area of circle B can be estimated using the dimensions provided for circle A.

That is;

circle A Diameter = 20 in

Circle A area = 300 in²

Circle B diameter = 60 in

Circle B diameter = X

If , 20 in = 300

60 in = X

Make X the subject of formula;

X = 60×300/20

= 18000/20

= 900 in²

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Answer:

At least means the least it could be is 49, so it could be 49 or more.

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

INEQUALITY:

9+8x≤49

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

subtract 9 from both sides

8x≤40

divide both sides by 8

SOLUTION:

x≤5

x is less than or equal to 5

or 5≥x

5 is greater than or equal to x

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

Step-by-step explanation:

Answer:

y=-7

Step-by-step explanation:

y=3(-4)+5

y=-12+5

y=-7

..............................50.9

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

Explanation:

A = ace

Q = queen

Theo's results are: 5, A, 2, 8, Q, 9

He got four numbers (5,2,8,9) out of 6 cards total. The empirical probability of getting a number is 4/6 = 2/3. Multiply this with the 24 trials to get (2/3)*24 = 48/3 = 16.

We expect Theo to get roughly 16 numbers if he conducted 24 trials. This is not guaranteed because of the nature of the random process. Though it should be fairly close to 16 assuming that we stick with that empirical probability (i.e. the amount of number cards is roughly 2/3 of the deck).

Although a part of your question is missing, you might be referring to this full question "Devaughn is 8 years younger than Sydney. The sum of their ages is 84. What is Sydney's age?"

Sydney is 46 years old.

Let s be the age of Sydney.

Let d be the age of Devaughn.

As Devaughn is 8 years younger than Sydney, therefore

s = d + 8  (1)

It is given that sum of their ages is 84.

s + d = 84 (2)

Substituting the value of s from equation 1 into equation (2), we get,

d + 8 + d = 84

2d + 8 = 84

2d = 76

d = 76/2 = 38 years old

Now, find the value of s by substituting the value of d in equation 1.

s = d + 8

s = 38 + 8

s = 46 years old

So, Devaughn is 38 years old and Sydney is 46 years old.

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By substitution; x = 4 and y = -31

An equation is a mathematical statement that shows that two mathematical expressions are equal. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity.

y=-6x-7 --- 1

7x+y=-3 --- 2

Substituting y as 6x - 7 in equation 2

7x + (-6x - 7) = -3

7x - 6x - 7 = -3

x - 7 = -3

x = -3 + 7

x = 4

Substitute x as 4 in equation 1

y = -6x - 7

y = -6(4) - 7

y = -24 - 7

y = -31

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Answer:

No, Sarah is incorrect. The more zeros you add the smaller the digit gets. For example, .01 is less than .1.

Answer:

Sarah is incorrect.

Step-by-step explanation:

Answer:

\(P(A_1\ n\ A_2) = 0.40\)

Step-by-step explanation:

Let:

\(A_1 \to\) An Individual likes vehicle 1

\(A_2 \to\) An Individual like vehicle 2

\(P(A_1) = 0.55\)

\(P(A_2) = 0.65\)

\(P (A_1\ u\ A_2 ) = 0.80\)

Required

\(P(A_1\ n\ A_2)\) --- probability that both vehicles are liked by the individual.

This is calculated as:

\(P(A_1\ n\ A_2) = P(A_1) + P(A_2) - P(A_1\ u\ A_2)\)

So, we have:

\(P(A_1\ n\ A_2) = 0.55 + 0.65 - 0.80\)

\(P(A_1\ n\ A_2) = 0.40\)

The number of different purchases you could make is 11440

The given parameters are:

Number of chocolate, n = 16

Kinds of chocolate, r = 9

The number of different purchases you could make is calculated using the following combination equation

Purchases = C(n, r)

So, we have

Purchases = C(16, 9)

Apply the combination formula

Purchases = 16!/(9! * 7!)

Evaluate the expression

Purchases = 11440

Hence, the number of different purchases you could make is 11440

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Answer:

\(The\ third\ term\ is\ \boxed{36a^7b^2}\\\)

Step-by-step explanation:

\(\left(\begin{array}{c}9\\ 1\end{array}\right)=\dfrac{9}{1} =9\\\\\left(\begin{array}{c}9\\ 2\end{array}\right)=\dfrac{9*8}{2*1} =36\\\\\\(a+b)^9=a^9+\left(\begin{array}{c}9\\ 1\end{array}\right)a^8b+\left(\begin{array}{c}9\\ 2\end{array}\right)a^7b^2+....+b^9\\\\\\The\ third\ term\ is\ \boxed{36a^7b^2}\\\)

The given expression is:

According to the question,

→ \(\binom{9}{1} = \frac{9}{1}\)

        \(= 9\)

→ \(\binom{9}{2} = \frac{9\times 8}{2\times 1}\)

        \(= \frac{72}{2}\)

        \(= 36\)

Now,

→ \((a+b)^9 = a^9+\binom{9}{1}a^8b+\binom{9}{2}a^7b^2+...+b^9\)

hence,

The third term is "\(36a^7b^2\)".

Thus the approach above is appropriate.

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The first equation is incorrect.

The second equation is correct.

The third equation is correct.

Let's go through each equation and determine whether it is correct or incorrect:

(b²+7b-9)+(4b-6b²) = -8b² + 14b-9

To determine if this equation is correct, we need to simplify both sides and check if they are equal.

On the left side:

(b²+7b-9)+(4b-6b²) = b² - 6b² + 7b + 4b - 9 = -5b² + 11b - 9

On the right side:

-8b² + 14b - 9

Comparing both sides, we can see that -5b² + 11b - 9 is not equal to -8b² + 14b - 9. Therefore, the equation is incorrect.

(4a+6)-(3a²-9a+1)=-3a²+ 13a +5

Again, we need to simplify both sides of the equation and check if they are equal.

On the left side:

(4a+6)-(3a²-9a+1) = 4a + 6 - 3a² + 9a - 1 = -3a² + 13a + 5

On the right side:

-3a² + 13a + 5

Comparing both sides, we can see that -3a² + 13a + 5 is equal to -3a² + 13a + 5. Therefore, the equation is correct.

(12c-8c²)+(5c²- 10c) = -3c²+2c

Again, let's simplify both sides and compare them.

On the left side:

(12c-8c²)+(5c²- 10c) = 12c - 8c² + 5c² - 10c = -3c² + 2c

On the right side:

-3c² + 2c

Comparing both sides, we can see that -3c² + 2c is equal to -3c² + 2c. Therefore, the equation is correct.

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You can use the notation P(A), read “the probability of event B, given event A” to write a conditional probability. The correct answer is C.

Conditional probability refers to the probability of one event occurring given that another event has already occurred. In this case, we are interested in the probability of event B occurring given that event A has already occurred, and we can represent this using the notation P(B|A), where '|' means 'given'.

For example, let's say we are interested in the probability of getting a head on a coin toss (event B), given that the coin was flipped and landed on heads (event A). We could represent this using the notation P(B|A). The value of P(B|A) would be 1, because if the coin already landed on heads, then the probability of getting a head on the next flip is certain.

Conditional probability is an important concept in probability theory and is often used in real-world applications, such as predicting the likelihood of a disease given certain symptoms, or the probability of an event occurring given certain conditions.

The correct answer is C.

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The solution to the amount of light bulbs Julia needs to sell to meet her quota is represented by the shaded area in graph X.

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the incandescent light bulbs and y represent the fluorescent light bulbs. Therefore:

x + y > 100   (1)

Also:

2x + 5y ≥ 350    (2)

The solution to the amount of light bulbs Julia needs to sell to meet her quota is represented by the shaded area in graph X.

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Answer:

John's Computer Software Store

A) Probability that a person who walks by the store will enter the store:

= 41%

B) The probability that a person who walks into the store will buy something:

= 45%

C) The probability that a person who walks by the store will come in and buy something:

= 18%

D) The probability that a person who comes into the store will buy nothing:

= 55%

Step-by-step explanation:

a) Data and Calculations:

Number of people who walked by the store yesterday = 137

Number of those who came into the store = 56

Number of people who came into the store and bought something = 25

Number of people who came into the store and bought nothing = 31 (56 - 25)

A) Probability that a person who walks by the store will enter the store:

= 56/137

= 0.4087

= 0.41

= 41%

B) The probability that a person who walks into the store will buy something:

= 25/56

= 0.4464

= 0.45

= 45%

C) The probability that a person who walks by the store will come in and buy something:

= 56/137 * 25/56

= 0.41 * 0.45

= 0.1845

= 0.18

= 18%

D) The probability that a person who comes into the store will buy nothing:

= 31/56

= 0.5536

= 0.55

= 55%

Answer:

I think it its 0 its called the additive identity because when you add it to a number, the result you get is the same number.

Step-by-step explanation:

For example, 5 + 0 = 5 Any two numbers whose sum is zero, such as 3 and -4, because 3 + (-3) = 0.

Answer:

4

Only answer on the x-axis

Answer:

It's 4.

Step-by-step explanation:

Did the  test on edge2021

The perimeter of the semicircle with different r values is:

So, the formula for the perimeter of the semicircle:

Now, insert values as follows:

(A) (When r = 2)

(B) (When r = 4)

(C) (When r = 12)

Therefore, the perimeter of the semicircle with different r values is:

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The correct question is given below:

2 mm. em. 4 em 12 Manam. Find the perimeter of the semicircle. Use 3.14 for it when needed.

Answer:

Area of rectangle is L*B

Lm *Bm

L*Bm²

Answer:

there is no slope, or a slope of 0.

Step-by-step explanation:

Answer:

The GPA of the student is 1.83.

Step-by-step explanation:

We use a weighted average to solve this question.

We have the following grades:

B, which is equivalent to 3, with weight 3.

D, which is equivalent to 1, with weight 8.

C, which is equivalent to 2, with weight 18.

So

\(M = \frac{3*3 + 1*8 + 2*18}{3 + 8 + 18} = \frac{53}{29} = 1.83\)

The GPA of the student is 1.83.

Answer:

31°

Step-by-step explanation:

<Y + <X = 180° [being co-interior angles ]

s + 91° + 2s - 4° = 180°

3s + 87° = 180°

3s = 180° - 87°

3s = 93°

s = 93° /3

s = 31°

Hope it will help you :)❤

Answer:

\(\displaystyle 31\)

Step-by-step explanation:

Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:

\(\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s\)

I am joyous to assist you at any time.

Answer:

og₃ (x+1) = 3

It could be written:

(x+1)= 3³==> x+1 = 27 ==> x =27-1 =26

Step-by-step explanation:

I really hope this helps

We will find the time it will take Lucy to catch up to Mandy, by solving the following system:

Here, the first expression represents Mandy's and the second expression represents Lucy's.

Now, we solve:

From this, we have that it will take 10 days to have the same number of scarves, which will be 20 scarves.

We can graph them as follows: