The fuel costs for an electric bike can be represented by the equation y=0.1x for y dollars and x miles. The graph below shows the cost of fuel used to drive a scooter.
a. What is the rate of change for the electric bike?
[ Select ]

b. What is the rate of change for the scooter?
[ Select ]

c. Which means of transportation is the better choice, financially?
[ Select ]

d. If a graph was drawn for the bike, which of the two means of transportation would have a steeper slope?
[ Select ]

e. Which of these two relationships is proportional?
[ Select ]

Answer:

0.1875

Step-by-step explanation:

Let A be the event that  class two has been chosen . So the probability of A would be P (A) = 1/2= 0.5

Now class two has 9 girls out of total 24 students . So the probability of chosing the girl would be= P (B=) 9/24= 0.375

So the probability that Classroom #2 was chosen at random, given that a girl was chosen is given by = P(A) . P(B)= 0.5 * 0.375= 0.1875

Another way of finding the probability that Classroom #2 was chosen at random, given that a girl was chosen is by drawing a tree diagram.

P (1/2) Class 1 ------------------------5 boys

                      -------------------------11 girls  (11/16)

P (1/2)  Class 2 -------------------------15 boys

                     -----------------------9 girls  P (9/24)   Class 2 was chosen (0.5) *9/24

the answer is 153.86 ft squared

= the formula for the area of a circle is A=πr2

= area = pi x radius squared

= the radius is 7 feet, square that to get 49

= multiply 49 by pi to get the area: 153.86 square feet

153.86 ft squared

Answer:

153.86 ft squared

Step-by-step explanation:

As per given question we have provided that :

We need to find :

Here's the required formula :

\({\dashrightarrow\sf{A = \pi {r}^{2}}}\)

Substituting all the given values in the formula to find the area of circular pool :

\({\dashrightarrow{\sf{Area = \pi {r}^{2}}}}\)

\({\dashrightarrow{\sf{Area = 3.14{(7)}^{2}}}}\)

\({\dashrightarrow{\sf{Area = 3.14{(7 \times 7)}}}}\)

\({\dashrightarrow{\sf{Area = 3.14{(49)}}}}\)

\({\dashrightarrow{\sf{Area = 3.14 \times 49}}}\)

\({\dashrightarrow{\sf{Area = 153.86}}}\)

\(\star{\underline{\boxed{\sf{\red{Area = 153.86 \: {ft}^{2}}}}}}\)

Hence, the area of circular pool is 153.86 ft².

\(\rule{300}{1.5}\)

The solution is x > 3. The values of x are greater than 3.

It is a mathematical symbol that represent the non-equal comparison between different terms as well as other mathematical expressions. Inequality is various types such as greater than >, less than <, greater than or equal ≥ and less than or equal ≤.

Given, 0.3 (x -4) > -0.3

at first, we will remove the parenthesis and multiply by the given factor

0.3 × x - 0.3× 4 > -0.3

0.3x - 1.2 > - 0.3

now we add 1.2 to both side in order to isolate the variable terms

0.3x - 1.2+1.2 > - 0.3 + 1.2

0.3x > 0.9

in the next both side is divided by 0.3

0.3x/ 0.3 > 0.9/ 0.3

x > 3

the above is the result

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Given capacities

We need HCF of 403,434,465

Maximum capacity 31L

Answer:

46 boxes

Step-by-step explanation:

1012 / 22 = 46

Step-by-step explanation:

Given: To make smallest 3-digit number of 825.

To find: The smallest 3-digit number of 825.

Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...

Final answer: The smallest 3-digit number of 825 is 258.

hope it helps

Answer:

258

Step-by-step explanation:

We are given 3 numbers:

8 2 5

And we are asked to find the smallest 3 digit number using those 3 digits above.

To make the smallest number, place the numbers in value from least to greatest:

2 5 8

This is your 3 digit number: 258.

Hope this helps! :)

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

44

Step-by-step explanation

4c + d

this is an expression and since they provided c and d it is easy to solve

c = 9 and d = 8. You need to plug in c and d into the expression to solve the problem.  

4(9) + (8)

4 times 9 is 36 so it leaves you with 36 + 8

36 + 8 = 44

I hope this helps but basically the concept is just plugging in the numbers in place of the variables. For future problems plug in the numbers given where the variables are.

Answer:

Step-by-step explanation:

Let the amount of rent is R

Calculate the value of R in reverse order of spending

Correct choice is B

Answer:

B. $466

Step-by-step explanation:

\(\textsf{let}\: x= \textsf{Lydia's salary}\)

\(\implies \textsf{rent}=\dfrac{1}{2}x\)

Modelling the given information to find the total salary:

\(\implies \left(x-\dfrac{1}{2}x-168\right)-\dfrac{x-\frac{1}{2}x-168}{2}-57=92\)

\(\implies \dfrac{1}{2}x-168-\dfrac{\frac{1}{2}x-168}{2}-57=92\)

\(\implies \dfrac{1}{2}x-\dfrac{\frac{1}{2}x-168}{2}=317\)

\(\implies x-(\frac{1}{2}x-168)=634\)

\(\implies x-\frac{1}{2}x+168=634\)

\(\implies \dfrac{1}{2}x=466\)

\(\implies x=932\)

Therefore, Lydia's total salary was $932

\(\implies \textsf{rent}=\dfrac{1}{2}(932)=\$466\)

im only in 6th grade

Step-by-step explanation:

Answer:

81

Step-by-step explanation: A square has all sides the same so you just multiply 9×9

Have a great day and a awsome thanks giveing brake :)

Answer:

1,208.92613

Step-by-step explanation:

this is the answer

Rollaway Skates is cheaper when the number of people is less than or equal to 4. For example, the cost for 2 people at Rollaway Skates is $10, while the cost for 2 people at Wheelie's Skates and Stuff is $106.

Wheelie's Skates and Stuff is cheaper when the number of people is greater than or equal to 5. For example, the cost for 6 people at Rollaway Skates is $30, while the cost for 6 people at Wheelie's Skates and Stuff is $118.

I hope this helps! Do you have any other questions?

Answer:

x= 30

y= 88

z= 22

Step-by-step explanation:

x= z+8

y= 4z

x + y + z = 140

we substitute to the third equation (z+8) + (4z) + z= 140 so we obtain 6z+8= 140. Z is then equal to 140-8/6= 22.

Then x= 22+8= 30, y=22(4)= 88

30+88+22= 140

Answer:

Step-by-step explanation:

Begin the solution by squaring both sides of the given equation.  We get:

(3x - 4)^2 = 2x^2 - 2x + 2, or:

9x^2 - 24x + 16 = 2x ^2 - 2x + 2

Combining like terms results in:

7x^2 - 22x + 14 = 0

and the coefficients are a = 7, b = -22, c = 14, so that the discriminant of the quadratic formula, b^2 - 4ac becomes (-22)^2 - 4(7)(14) = 92

According to the quadratic formula, the solutions are

       -b ± √discriminant           -(-22) ± √92             22 ± √92

x = ------------------------------- = ----------------------- = ------------------------

                   2a                                   14                            14

Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°

The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.

Now, for the transverse line theorem we can say that:

Angle 1 will be composed of two angles namely:

48 degrees and (180 - 153) degrees.

Thus:

m∠1 = 48° + 27°

m∠1 = 75°

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Answer:

d)The midline is y=1.5

Step-by-step explanation:

Because you can see in the graph that the midline is 1. So only c is no correct.

The amplitude is measured between the midline and the pik(highest or lowest value) of the function. This case is 2. True

The period is the distance between “equivalent” points. pi in this case. True.

The phase shift occur when the function is shifted on the x-axis. There is no phase shift. True.

Answer:

True

Step-by-step explanation:

The reduced model and complete are the two models that can be used to determine test the hypothesis. The best way to determine which model fits the data set is to determine the F-test. The Full model is unrestricted model whereas reduced model is restricted model. F-test determines which model to choose for hypothesis testing for better and accurate results.

Answer:

9e+97

Step-by-step explanation:

She should divide both sides by -5 while multiplying the other side by -5. She also did not replace the > symbol with a symbol.

An inequality in mathematics is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions. It is most commonly used to compare the sizes of two numbers on a number line.

From given question :

-5x-3.5>6.5

-5x > 10

X > -50

Since, we have to solve for x

so, we will isolate x on anyone side

step-1:

Add both sides by 3.5

- 5x - 3.5 + 3.5 > 6.5 + 3.5

- 5x > 10

step-2:

Divide both sides by -5

we know that whenever we divide both sides by negative sign , it's inequality gets revered

so, we get

- 5x / -5 < - 50 / -5

we get

x < 10

so,

She should divide both sides by -5 while she multiplied by -5 on other side

and she also did not change the > symbol to a < symbol

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Answer:

D.$104.01

Explanation:

Here is what we are told

Harrison got the following amount from his paychecks.

Paycheck 1: $38. 97

Paycheck 2: $65.04

Therefore total amount Harrison saved on his paychecks was

$38. 97 + $65.04 = $104.01

Now looking at the answer choices we see that choice D gives the correct answer.

Therefore choice D is the correct answer.

Answer:

it’s D sir =)

Step-by-step explanation:

The function is odd, and the graph would be shifted downward. option(2)

The statement "f(x) - 4" represents a transformation applied to the original function f(x). This transformation involves subtracting 4 from the values of the function f(x) for all x. In other words, it shifts the entire graph of f(x) downward by 4 units along the y-axis.

Specifically, each y-value of the original function f(x) is reduced by 4. For example, if the original function had a point (x, y), the transformed function f(x) - 4 would have the corresponding point (x, y - 4). This means that every point on the graph is shifted downward by 4 units.

This transformation affects the overall shape, position, and properties of the function. The new graph will have the same general shape as the original, but it will be translated downward. If there were any intercepts or turning points in the original function, they will also be shifted downward by 4 units.

The statement "f(x) - 4" represents a transformation applied to the original function f(x). This transformation involves subtracting 4 from the values of the function f(x) for all x. In other words, it shifts the entire graph of f(x) downward by 4 units along the y-axis.

Specifically, each y-value of the original function f(x) is reduced by 4. For example, if the original function had a point (x, y), the transformed function f(x) - 4 would have the corresponding point (x, y - 4). This means that every point on the graph is shifted downward by 4 units.

This transformation affects the overall shape, position, and properties of the function. The new graph will have the same general shape as the original, but it will be translated downward. If there were any intercepts or turning points in the original function, they will also be shifted downward by 4 units. Option(2)

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Answer:

We conclude that older people are more likely to be victimized.

Step-by-step explanation:

We are given that a survey shows that 10% of the population is victimized by property crime each year.

A random sample of 527 older citizens (65 years or more of age) shows a victimization rate of 12.35%

Let p = population proportion of people who are victimized.

So, Null Hypothesis, \(H_0\) : \(p \leq\) 10%      {means that older people are less likely to be victimized or remains same}

Alternate Hypothesis, \(H_A\) : p > 10%      {means that older people are more likely to be victimized}

The test statistics that would be used here One-sample z-test for proportions;

                             T.S. =  \(\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }\)  ~  N(0,1)

where, \(\hat p\) = sample proportion of older people who are victimized = 12.35%

            n = sample of older citizens = 527

So, the test statistics  =  \(\frac{0.1235-0.10}{\sqrt{\frac{0.10(1-0.10)}{527} } }\)  

                                       =  1.798

The value of z-test statistics is 1.798.

Since in the question, we are not given with the level of significance so we assume it to be 5%. Now at 5% level of significance, the z table gives a critical value of 1.645 for right-tailed test.

Since our test statistics is more than the critical value of z as 1.798 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that older people are more likely to be victimized.

Answer:you just have to mutlkplaye 5 and 12 like what’s nine plus ten 21

Step-by-step explanation:

The answer is D: conjecture

The key words in the description are "look for a pattern and then form an educated guess." This suggests making a hypothesis or assumption based on the observed pattern, which is the definition of a conjecture.

The other answer choices are defined as follows:

A. conjugation - the act of changing a verb to agree with its subject

B. conjunction - a connecting word

C. congruence - the state of agreeing, matching, or coinciding

D. conjecture - an opinion or conclusion formed on the basis of incomplete information

So option D, conjecture, is the best match for forming an educated guess based on an observed pattern in induction.

Answer:

A) 715 ways

B) 715 ways

C) (1/715)

Step-by-step explanation:

This is a permutation and combination problem.

Since we want to select a number of people from a larger number of people, we use combination as the order of selection isn't important now.

A) How many different ways can the officers be appointed?

There are 4 officer positions.

There are 13 people in total.

We want to select 4 people from 13

Number of ways to select 4 people from 13 = ¹³C₄ = 715

B) How many different ways can the committee be appointed?

Number of committee members = 4

Total number of people available = 13

Number of ways to select 4 people from 13 = ¹³C₄ = 715

C) What is the probability of randomly selecting the committee members and getting the four youngest of the qualified candidates?

Selecting a group of the youngest candidates is just 1 amongst the total number of ways the 4 committee members can be picked,

Hence, the required probability = (1/715)

Hope this Helps!!!

In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.

The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.

In general, the choice of significance level depends on the specific application and context of the statistical analysis.

The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.

The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.

A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.

A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.

For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.

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Answer:

समानार्थी शब्द लिखित। 1) धनिक:। 2) भृतय: ।

Answer:

im thinkin its 29

Step-by-step explanation: