I need this on khan academy.

9514 1404 393

Answer:

  c.  $0.08

  fee = $50

Step-by-step explanation:

We are given two ordered pairs:

  (minutes, charges) = (150, 62) and (175, 64)

The slope of the graph of charges is ...

  m = (y2 -y1)/(x2 -x1) = (64 -62)/(175 -150) = 2/25 = 0.08

The charge for each minute is $0.08.

__

The y-intercept of the graph can be found from ...

  b = y -mx

  b = 62 -150(0.08) = 62 -12 = 50

The fixed monthly fee is $50.

Answer:

The point estimate is 5,617.

The margin of error of a confidence interval for the difference between the two population means is 454.18386 .

The 98% confidence interval for the difference between the two population means is (5163, 6071).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.  

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Compound 1:

127 brakes, average brake life of 42,814 miles, population standard deviation of 1819 miles. This means that:

[tex]\mu_1 = 42814[/tex]

[tex]s_1 = \frac{1819}{\sqrt{127}} = 161.41[/tex]

Compound 2:

163 brakes, average brake life of 37,197 miles, population standard deviation of 1401 miles. This means that:

[tex]\mu_2 = 37197[/tex]

[tex]s_2 = \frac{1401}{\sqrt{163}} = 109.73[/tex]

Distribution of the difference:

[tex]\mu = \mu_1 - \mu_2 = 42814 - 37197 = 5617[/tex]

The point estimate is 5,617.

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{161.41^2 + 109.73^2} = 195.18[/tex]

Confidence interval

The confidence interval is:

[tex]\mu \pm zs[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = zs[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].  

Margin of error:

[tex]M = zs = 195.18*2.327 = 454.18386 [/tex]

The margin of error of a confidence interval for the difference between the two population means is 454.18386 .

For the confidence interval, as we round to the nearest whole number, we round it 454. So

The lower bound of the interval is:

[tex]\mu - zs = \mu - M = 5617 - 454 = 5163[/tex]

The upper bound of the interval is:

[tex]\mu + zs = \mu + M = 5617 + 454 = 6071[/tex]

The 98% confidence interval for the difference between the two population means is (5163, 6071).

Answer:

Hello,

P=(30,6)

Step-by-step explanation:

[tex]x=6t^2+6\\y=t^3-2\\\\\dfrac{dx}{dt}= 12t\\\dfrac{dy}{dt}= 3t^2\\\\\dfrac{dy}{dx} =\dfrac{\dfrac{dy}{dt} }{\dfrac{dx}{dt} } =\dfrac{3t^2}{12t} =\dfrac{t}{4} \\\\\dfrac{t}{4} =\dfrac{1}{2} \Longrightarrow t=2\\\\\\x=6t^2+6=6*2^2+6=30\\\\y=t^3-2=2^2-2=8-2=6\\\\\\Tangence\ point=(30,6)\\[/tex]

The point on the curve x = 6t² + 6, y = t³ - 2 where the tangent line have slope 1/2 is (30, 6).

From the information given, x = 6t² + 6, y = t³ - 2. We'll find the first order derivative of x and y which will be:

dx/dt = 12t

dy/dt = 3t²

Therefore, 3t²/12t = t/4, t = 2.

We'll put the value of t back into the equations.

x = 6t² + 6,

x = 6(2)² + 6

x = 24 + 6 = 30

y = t³ - 2.

y = (2)³ - 2

y = 8 - 2 = 6

In conclusion, the correct options is (30, 6).

Learn more about slope on:

https://brainly.com/question/3494733

Answer:

ascending order} an order of numbers from least to greatest like 1 2 3 4

descending order} an order of numbers from greatest to least like 4 3 2 1

Answer:

-42/11

Step-by-step explanation:

x = y - 8

5x = 6 - 6y

So now solve the system of equations, divide everything in the second equation by 5 to get it to x = 6/5 - 6y/5

Now...

x = y - 8

x = 6/5 - 6y/5

Now substitute first equation into the second and x is gonna be -42/11 or the first number

square meter is the SI unit of area.

Step-by-step explanation:

interest=90

principal=600

rate=5%

time = I × 100/p×r

= 90×100/600×5

= 3 years.

Answer:

Should be (B)

01-1020

ED2021

The correct label for the population is 1 - 1020,

Option A is the correct answer.

It is the way of choosing a number of required items from a number of population given.

Each items has an equal probability of being chosen.

We have,

The population in this case refers to the entire group of interest, which is the entire student body of the school.

The total number of students is 1,020.

The population is usually labeled with a range or interval that includes all the possible values of the variable of interest.

In this case, the variable of interest is whether or not a student has an opinion on parking.

The correct label for the population is 1-1020, as this range includes all possible student identification numbers at the school.

The other options (01-1020, 001-1020, and 0001-1020) are not correct because they suggest that there are leading zeros in the student identification numbers, which is not usually the case.

Thus,

The correct label for the population is 1-1020,

Learn more about random sampling here:

https://brainly.com/question/12719656

#SPJ7

Answer:

SA = 52 square meters

Step-by-step explanation:

First, the equation I'll be using for this problem is SA=2(wl+hl+hw)! Our width is 4m, our length is 3m, and our height is 2m. To begin to solve this problem we are going to input these values in to the equation above.

SA = 2(4 × 3 + 2 × 3 + 2 × 4)

Next, we are going to multiply our values inside the parenthesis based on the PEMDAS strategy (if you have any questions about this, feel free to ask below :).

SA = 2(12 + 6 + 8)

Now, we can add our values inside the parenthesis.

SA = 2(26)

Finally, all we have to do is distribute the 2 outside of the parenthesis to inside the parenthesis.

SA = 52 square meters

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

9514 1404 393

Answer:

  C. y is 6 less than x

Step-by-step explanation:

It is not hard to check.

  A. 6 times x is 6×8 = 48, not 2

  B. 6 times y is 6×2 = 12, not 8

  C. 6 less than 8 is 2; 6 less than 9 is 3

  D. 6 more than 8 is 14, not 2

__

The relation described in C matches the table.

Answer:

The answer is below

Step-by-step explanation:

Let x represent the length of each of the equal piece of yarn. Since they are 4 equal pieces of yarn, then the total length of the equal pieces of yarn = 4x.

Also, besides cutting the 4 equal pieces of yarn Julie further cuts a yarn 7.75 inches long, therefore if y represent the total length of all the yarn that she ends up cutting, hence:

y = 4x + 7.75

Since the graph produced by this equation have all points connected to each other, hence this is a continuous graph.

Answer:

A. x = 3

Step-by-step explanation:

5x - 3 = 12

5x = 12 + 3

5x = 15

x = 15/5

= 3

Answer:

34.013%

0.36693 - 0.0268 = 0.34013

Step-by-step explanation:

z=.34 and z=1.93

0.34  0.36693

1.93           0.0268

Option 3 is not possible

-60.2 + 32 = -60.2 + 60

And these are not equal

Rest all options have x and are solvable

Must click thanks and mark brainliest

Answer:

a.) 11:8

b.) 3:11

Step-by-step explanation:

a)

Add all marbles

8 + 3 = 11

Blue marbles = 8

So, the ratio will be 11:8

b)

Red marbles = 3

All marbles = 11

So, the ratio will be 3:11

Hope this helps.

Answer:

Step-by-step explanation:

ccccccccccccccccccccccc

Answer:

Option B

-13°c-2°c= 15°c

hope it helps

Answer:

$11.25

Step-by-step explanation:

Total money given to the taxi driver=36+25% of 36=45

Each person will pay (45/4)=11.25

Answer:

15

Step-by-step explanation:

Complementary angles add to 90 degrees

8x+27 + 6x-21 = 90

Combine like terms

14x+6 = 90

Subtract 6 from each side

14x+6-6 = 90-6

14x = 84

Divide by 14

14x/14 = 84/14

x=6

We want angle B

B = 6x-21 = 6*6-21 =36-21 = 15

Answer:

Your credit report contains personal information, credit account history, credit inquiries and public records. This information is reported by your lenders and creditors to the credit bureaus. Much of it is used to calculate your FICO® Scores to inform future lenders about your creditworthiness.

Answer:

The Poisson's ratio for the material is 0.0134.

Step-by-step explanation:

The Poisson's ratio ([tex]\nu[/tex]), no unit, is the ratio of transversal strain ([tex]\epsilon_{t}[/tex]), in inches, to axial strain ([tex]\epsilon_{a}[/tex]), in inches:

[tex]\nu = -\frac{\epsilon_{t}}{\epsilon_{a}}[/tex] (1)

[tex]\epsilon_{a} = l_{a,f}-l_{a,o}[/tex] (2)

[tex]\epsilon_{t} = l_{t,f}-l_{t,o}[/tex] (3)

Where:

[tex]l_{a,o}[/tex] - Initial axial length, in inches.

[tex]l_{a,f}[/tex] - Final axial length, in inches.

[tex]l_{t,o}[/tex] - Initial transversal length, in inches.

[tex]l_{t,f}[/tex] - Final transversal length, in inches.

If we know that [tex]l_{a,o} = 61.2\,in[/tex], [tex]l_{a,f} = 61.235\,in[/tex], [tex]l_{t,o} = 2.7\,in[/tex] and [tex]l_{t,f} = 2.69953\,in[/tex], then the Poisson's ratio is:

[tex]\epsilon_{a} = 61.235\,in - 61.2\,in[/tex]

[tex]\epsilon_{a} = 0.035\,in[/tex]

[tex]\epsilon_{t} = 2.69953\,in - 2.7\,in[/tex]

[tex]\epsilon_{t} = -4.7\times 10^{-4}\,in[/tex]

[tex]\nu = - \frac{(-4.7\times 10^{-4}\,in)}{0.035\,in}[/tex]

[tex]\nu = 0.0134[/tex]

The Poisson's ratio for the material is 0.0134.

Answer:

Hello,

Step-by-step explanation:

(x-3)*(x+4)=0 or x²+x-12=0

Answer:

Step-by-step explanation:

[tex]\displyastyle \Large \boldsymbol{} (x-x_1)(x-x_2) \ \ x_1 \ ; \ x_2 -roots \\\\(x-3)(x-(-4))=(x-3)(x+4)=\boxed{x^2+x-12}[/tex]

Solution :

Two sample T-test and CI : Conventional methods, New methods

Two sample T for conventional method Vs new method

                                                  N        Mean           StDev     Se Mean

Conventional mean                 30        35.3              20.8         3.8

New methods                          30         35.1              22.3          4.1

Difference = μ (conventional method) - μ (new method)

Estimate for difference : 0.17

95% CI for difference : (-10.976, 11.309)

T-Test of difference = 0(vs <): T-value = 0.03   P-value =0.5119  DF = 57

95% confident that the true mean difference in mean crying time after being given a vitamin K shot between infants using conventional methods and infants held by their mothers is between -10.976 and 11.309. In other words, the mean crying time of infants given vitamin K shot using conventional methods is anywhere from -10.976 less than to 11.309 more than the mean crying time of infants given vitamin K shot using new methods.

9514 1404 393

Answer:

Step-by-step explanation:

f(x) is copied from the problem statement.

g(x) is a symbolic representation of the English wording, using x to represent "a number."

h(x) is the exponential function that corresponds to the geometric sequence in the table. It has a common ratio of 3, and a multiplier of 1 at x=0.

No piece of information is supplied to choose from ; However, the requirements for the test statistic of the hypothesis in question is given below.

Answer:

Kindly check explanation

Step-by-step explanation:

The hypothesis in the question above which is to be tested is a one sample proportion test ;

The test statistic formula for a one sample proportion test is given as :

Test statistic = (Phat - P) / √[P(1 - P) / n] ;

Where;

Phat = sample proportion

P = population proportion

n = sample size

Sample proportion = x / n ;

Therefore, once the parameters (Sample proportion, population proportion and sample size are given) then obtaining the test statistic is possible.

Answer:

Step-by-step explanation:

Let's solve your inequality step-by-step.

y - 6 > 2y - 4

y - 2y > -4 + 6

-y > 2

now divide by -1 and inequality sign changes

-y/-1 < 2/-1

y < -2

Answer:

6/15.

14/42.

Step-by-step explanation:

2/5 = 6/x

Cross multiply:

2x = 5*6

x = 15

Similarly:

10/30 = 14/x

10x = 30*14

x = 420/10

x = 42.

Answer:

see explanation

Step-by-step explanation:

Using the Sine rule in all 3 questions

(1)

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] , substitute values , firstly calculating ∠ B

[ ∠ B = 180° - (78 + 49)° = 180° - 127° = 53° ]

[tex]\frac{a}{sin78}[/tex] = [tex]\frac{18}{sin53}[/tex] ( cross- multiply )

a sin53° = 18 sin78° ( divide both sides by sin53° )

a = [tex]\frac{18sin78}{sin53}[/tex] ≈ 22.0 ( to the nearest tenth )

(3)

[tex]\frac{c}{sinC}[/tex] = [tex]\frac{a}{sinA}[/tex] , substitute values

[tex]\frac{35}{sinC}[/tex] = [tex]\frac{45}{sin134}[/tex] ( cross- multiply )

45 sinC = 35 sin134° ( divide both sides by 35 )

sinC = [tex]\frac{35sin134}{45}[/tex] , then

∠ C = [tex]sin^{-1}[/tex] ( [tex]\frac{35sin134}{45}[/tex] ) ≈ 34.0° ( to the nearest tenth )

(5)

Calculate the measure of ∠ B

∠ B = 180° - (38 + 92)° = 180° - 130° = 50°

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] , substitute values

[tex]\frac{BC}{sin38}[/tex] = [tex]\frac{10}{sin50}[/tex] ( cross- multiply )

BC sin50° = 10 sin38° ( divide both sides by sin50° )

BC = [tex]\frac{10sin38}{sin50}[/tex] ≈ 8.0 ( to the nearest tenth )

Answer:

1 kilometer in 1 hour

Step-by-step explanation:

unit rate is km(kilometer) per hour(hr)

1/3 km = 1/3 hr

multiply both sides by 3

1 km in 1 hour