Steve drives an electric car. He can drive 425 kilometres before he needs to stop and re-charge his car. It takes 10 minutes to charge 50 kilometres. How long does Steve have to wait for his car to fully charge?

Answer:

5+5=10

Step-by-step explanation:

The t test statistic for the bank's claim that wait times are not longer than five minutes is 4.29.

T - test statistic

T test statistic refer an inferential statistic used to determine if there is a significant difference between the means of two groups and how they are related.

Given,

Wait times for customers once they enter the bank. wait time is defined as the time between when a customer enters the bank until they reach a teller. a random sample of customers are recorded and their wait times in minutes are as follows: (4.21, 5.55, 3.02, 5.13, 4.77, 2.34, 3.54, 3.20, 4.50, 6.10, 0.38, 5.12, 6.46, 6.19, 3.79).

Here we need to determine the t test statistic for the bank's claim that wait times are not longer than five minutes.

In order to find the t test statistic, we have to calculated the average for the given waiting time,

Here the given wait times are:

(4.21, 5.55, 3.02, 5.13, 4.77, 2.34, 3.54, 3.20, 4.50, 6.10, 0.38, 5.12, 6.46, 6.19, 3.79).

In this list there are 15 members timings are presented.

Therefore, the average is calculated as,

=> (4.21 + 5.55 + 3.02 + 5.13 + 4.77 + 2.34 + 3.54 + 3.20 + 4.50 + 6.10 + 0.38 + 5.12 +  6.46 + 6.1 + 3.79) /15

=> 64.3/15

=> 4.29.

Therefore, the t test statistic for the bank's claim that wait times are not longer than five minutes is 4.29.

To know more about T test statistic here.

https://brainly.com/question/15236063

#SPJ4

When a fair die with faces numbered 1 to 6, the probability that the number landing face up is less than 3 is 1/3.

The probability measures how likely an event to occur. The probability of an event A is defined as:

P(A) = number of ways that event A can occur / all possible outcomes

In the given problem, let x be any number of die's face, then

number of ways x will show up = 1

all possible outcomes = 6

Hence,

P(x) = 1/6

Numbers that are less than 3 is 1 and 3. Therefore,

P (x<3) = P(1) + P(2)

P (x<3) = 1/6 + 1/6 = 2/6 = 1/3

Therefore, we can conclude that the probability that the number landing face up is less than 3 is 1/3

Learn more about probability here:

https://brainly.com/question/14192140

#SPJ4

Answer:

1. Congruent, SAS

2. Congruent, SSS

3. Not congruent

4. Congruent, SAS

5. Congruent, SSS

6. Not congruent

7. Congruent, SAS

8. Not congruent

Answer: 4,5,6,7,8

Step-by-step explanation:

Let the first integer be A; then the five consecutive integers are A, A+1, A+2, A+3, and A+4.

If the sum of the first three equals the sum of the last two, then A + (A+1) + (A+2) = (A+3) + (A+4)

Combining, 3A + 3 = 2A + 7 … A =4

The five Integers are thus 4, 5, 6, 7, and 8

Answer:

The answer is C 5.735

Step-by-step explanation:

I hope this helps!

Answer:

A

Step-by-step explanation:

if the area of a rectangle is 80 square units, the perimeter must be lesser than or equal to 35. 9 units.

What is a conjecture?

A conjecture is a conclusion or a proposition that is made tentatively and without supporting evidence.

The conjecture for the given question is:

if the area of a rectangle is 80 square units, the perimeter must be lesser than or equal to 35. 9 units.

Greater than → Lesser than or equal to

To learn more about area of rectangles.

https://brainly.com/question/24813201

#SPJ4

z >1 for the given inequality for x.

To solve the following inequality for x.

-26 + 13z + 2 > 2 132

Since there is no x in this I'm assuming we are looking for z

Step 1: Simplify both sides

15r - 26 > -13z + 2

Step 2: Add 13z to both sides

15r - 26 + 13z > -13z + 2 + 13z

28 - 26 > 2

Step 3: Add 26 on both sides

28 - 26 + 26 > 2 + 26

28z > 28

Step 4: Divide both sides by 28z / 28 > 28 / 28

z > 1

Hence the answer is z >1 for the given inequality for x.

To learn more about inequality click here https://brainly.com/question/24372553

#SPJ9

Answer:

Step-by-step explanation:

33 percent of her diet is the protein

After finding the ratio for each person, Ben will get $72

A ratio  shows the relative sizes of two or more values. Ratios can be shown in different ways:

It was given that Alice, Ben and Charlie are to share $213.

Ratio of Alice's share to Ben = 4 : 3

Ratio of Ben's share to Charlie = 8 : 5

Combining these ratios, their shared item (Ben's share) must be the same in each ratio.

Taking Alice's share to Ben, 4 : 3 and multiplying both parts by 8 to get an equivalent ratio, we have:

Alice : Ben = 4(8) : 3(8) = 32 : 24

Likewise, taking Ben's share to Charlie, 8 : 5 and multiplying both parts by 3, we have:

Ben : Charlie = 8(3) : 5(3) = 24 : 15

Combining these ratios, we have:

Alice : Ben : Charlie = 32 : 24 : 15

Adding the ratios together, we have: 32 + 24 + 15 = 71

If the money to be shared is $213, Ben's share will be:

[tex]\frac{24}{71}[/tex] × [tex]$213[/tex] = 72

Therefore, Ben will get $72 from the total amount of $213

Learn more about ratios here:

brainly.com/question/2328454

#SPJ1

Yes this an example of simple random sampling.

What is simple random sampling?

Every person in the population has an equal probability of getting chosen in a simple random sampling. The entire population should be included in your sampling frame.

You might utilize instruments like random number generators or other methods that just rely on chance to carry out this kind of sampling.

Main Body:

It is uncommonly attainable to collect knowledge from each member of a gaggle of people once conducting analysis on them. In its place, you choose a sample. The population that may really participate within the study is that the sample.

As in this case we select 100 random people out of 1000 , so it is an example of simple random sampling.

To know more about sampling click on the link below

https://brainly.com/question/29348144

#SPJ4

Using system of equations to solve the problem, the coffee shop made use of a total of 91 pounds of blend A coffee for that month.

A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.

The equations in the system can be linear or non-linear.

In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.

Let;

5.60x + 4.20y = 637... eq(i)

x = 3y ... eq(ii)

Solving equation (i) and (ii)

x = 91, y = 91/3

The Coffee shop used 91 pounds of blend A

Learn more on system of equations here;

https://brainly.com/question/13729904

#SPJ1

The graph is in the image uploaded.

Given function:

y = -2x - 3

Table:

x          y

-2        0

0        -2

Learn more about the graph here:

https://brainly.com/question/17267403

#SPJ1

Answer:

The line of reflection is usually given in the form y = m x + b y = mx + b y=mx+by, equals, m, x, plus, b

Answer:

God is good, satanist are L

Answer:

0 and -6

Step-by-step explanation:

Either x=0

Or, x+6=0 i.e, x= -6

Answer:

$35.10

Step-by-step explanation:

45 x 0.22= 9.9

45-9.90= 35.10

Answer:

B

Step-by-step explanation:

I jus did this in class becaueyeah dhdjajajakaksksnsnammamanajajajjanKa

Answer:

38

Step-by-step explanation:

32 + 10 = 42         subtract 42-4 = 38

The length of the right triangle, y is 8.94 units.

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The sides of a right angle triangle can be found using trigonometric ratios or Pythagoras's theorem.

c² = a² + b²

where

Therefore,

12² - 8² = y²

144 - 64 = y²

y = √80

y = 8.94427191

y = 8.94 units

learn more on right triangle here: https://brainly.com/question/16249977

#SPJ1

Answer:

96

Step-by-Step Explanation:

1, 3, 5 and 15 are the factors of 15.

Answer:

5/8, 3/4, 1/2

Step-by-step explanation:

divide each and find out which one is the smallest to biggest :)

Answer: 7

Explain: 2x + 4 = 18 which is required an equation, so the sum of thrice a number and 7 is 25. So 3x + 7 = 25

Answer:

7

Step-by-step explanation:

Applying the centroid theorem, the missing measures are:

FM = 22

A.F = 66

CM = 36

ME = 18

MB = 46

DB = 69

The centroid theorem states that the distance from the centroid of the triangle to the opposite vertex is equal to one-third of the length of the segment that connects the midpoint of a side of a triangle to the opposite vertex.

Given:

AM = 44, CE = 54, and DM = 23, where M is the centroid of the triangle, thus:

FM = 1/3(FA) = 1/3(AM + FM)

Substitute

FM = 1/3(44 + FM)

3FM = 44 + FM

3FM - FM = 44

2FM = 44

FM = 44/2

FM = 22

A.F = AM + FM = 44 + 22

A.F = 66

CM = 2/3(CE)

CM = 2/3(54)

CM = 36

ME = CE - CM = 54 - 36

ME = 18

MB = 2/3(DB) = 2/3(DM + MB)

MB = 2/3(23 + MB)

3MB = 2(23 + MB)

3MB = 46 + 2MB

3MB - 2MB = 46

MB = 46

DB = DM + MB = 23 + 46

DB = 69

Learn more about the centroid theorem on:

https://brainly.com/question/20627009

#SPJ1

Ren will have to wait for approximately 31 years for the money compounded annually and a rate of 2.3% to double it's original investment.

Compound interest is the interest imposed on a loan or deposit amount. It is the most commonly used concept in our daily existence. The compound interest for an amount depends on both Principal and interest gained over periods. This is the main difference between compound and simple interest.

The formula of compound interest is given as

A = P(1 + r/n)^nt

Substituting the values into the equation;

It will take approximately 31 years to double the investment.

Learn more on compound interest here;

https://brainly.com/question/24924853

#SPJ1

Answer:

solving for v or your variable

v= -6

Step-by-step explanation:

getting:

v = -6

The third degree polynomial function with zeros of −3, −1, and 4, and a y-intercept of −13 is y = -13/12 (x³ - 13x + 12)

Polynomial function:

polynomial function refers a functions of single independent variables, in which variables can occur more than once, raised to an integer power.

Given,

Third-degree, with zeros of −3, −1, and 4, and a y-intercept of −13.

Here we need to construct  a polynomial function with the stated properties and reduce all fractions to lowest terms.

The standard form for the third degree polynomial function is written as,

y = K (x + zero1) (x + zero2) (x + zero3)

Here we know the values of zeros as -3, -1 and -4.

Apply it on the general form,

y = K (x -3) (x - 1) (x + 4) ----------------------(1)

And the value of y intercept is -13 then the value of x is 0.

So, it can be written as,

-13 = K(0 - 3) (0 - 1) (0 + 4)

-13 = K (-3)(-1)(4)

-13 = K (12)

K = -13/12

Now, we have to apply these value on the equation (1), then we get,

y = -13/12 (x -3) (x - 1) (x + 4)

When we expand these, then we get the polynomial function as,

y = -13/12 (x³ - 13x + 12)

To know more about Polynomial function here.

https://brainly.com/question/12976257

#SPJ1

The quadratic function that produces the area, f(x) = A = x², can be used to complete the table which is presented as follows;

Side length[tex]{}[/tex]   1     2    3    4    5     6

Area[tex]{}[/tex]              1     4     9   16   25  36

A quadratic function is a function which is of the general form;

f(x) = a·x² +  b·x  + c, where;

a, b, c, are numbers and the value of 'a' is not zero

The side lengths of a square are the same

The area of a square = Length of Side × Length of side

Therefore;

Area of a square = (Side length)²

The quadratic equation that gives the area, A, from a side length, x, is therefore;

The table in the question can completed using the following calculations

When the side length = 1, The area = 1² = 1

Therefore;

When the area = 4, the side length = √4 = 2

When the area = 9, the side length = √9 = 3

When the side length = 4, the area = 4² = 16

When the area = 25, the side length = √(25) = 5

When the side length = 6, the area = 6² = 36

The completed table is therefore;

Side length[tex]{}[/tex]   1     2    3    4    5     6

Area[tex]{}[/tex]              1     4     9   16   25  36

Learn more about quadratic functions in algebra here:

https://brainly.com/question/19030820

#SPJ1

The graph that indicates the transformation translating of the parent function to get, y = |x| + 3, created with MS Excel is attached

A function ix transformed when the graph of the function is translated, resized or reflected.

The formula for the transformation of a function, f(x) is y = a·f(b·(x + c)) + d

Where;

a indicates the graph of the function is dilated vertically

b  indicates a dilation horizontally

c indicates a translation horizontally

d indicates a vertical translation

The transformation applied to the parent function is the f(x) is an addition of a term, d = 3, which is a vertical translation

In a vertical translation of the form f(x) ± d

When d > 0, the graph of f(x) is moved up d units to get the graph of f(x) + d

When d < 0, the graph of f(x) is moved down d units to get f(x) - d

The graph of y = |x| + 3, obtained from the parent function, y = |x|, by a transformation of d = +3, therefore, the graph of y = |x| is moved up 3 units to get the graph of y = |x| + 3

Please find attached the graph that indicates the translating of the parent function, created with MS Excel.

Learn more about the transformation of a function here:

https://brainly.com/question/11943912

#SPJ1