Estimate the area of the inregular shape. Explain your method and show your work.
Please help 100 points and brainliest

Answer:

8:56

Step-by-step explanation:

3:7

24/3=8

8 times 7=56

Answer:

a. E(X) = 0.333 minutes

b. [tex]\mathbf{\sigma_x =0.333 \ minutes}[/tex]

c.  0.9986

Step-by-step explanation:

a.

To find the mean time between counts

Let X be the random variable that illustrates the time between the successive log-ons, then X is exponential with the rate [tex]\lambda = 3[/tex] log-ons per minute.

i.e.

[tex]E(X) = \dfrac{1}{\lambda}[/tex]

[tex]E(X) = \dfrac{1}{3}[/tex]

E(X) = 0.333 minutes

b. Since X is attributed to an exponential distribution, The standard deviation between counts is:

[tex]\sigma_x = \dfrac{1}{3}[/tex]

[tex]\mathbf{\sigma_x =0.333 \ minutes}[/tex]

c.

Given that;

The average number of count per minute = 3

The value of X such that P(X < x) = 0.95 can be calculated as;

[tex]\int \limits ^x_0 \lambda e^{-\lambda t}= 0.95[/tex]

[tex]3\int \limits ^x_0 \lambda e^{3 t}= 0.95[/tex]

[tex]\bigg [ -e^{3t}\bigg ]^x_0 = 0.95[/tex]

[tex]e^{3t} = 1-0.95[/tex]

-3x = ㏑ (0.05)

-3x = - 2.9957

x = -2.9957/ -3

x = 0.9986

The value of x = 0.9986

Answer:

a) 3

b)3

c) 8.9872

Step-by-step explanation:

a) According to the question, mean is 3.

b) Since it is an exponential distribution, standard deviation equals to mean. Therefore, the answer is 3.

c) P[x<X]=0.95

f(x)= λ*e^(-λ*x)

∫f(x)dx, 0 to x

mean = 1/λ =3. So, λ= 1/3.

∫(1/3)*e^(-x/3)dx= 1/3*e^(-x/3)/(-1/3)=-e^(-x/3) 0 to x

-e^(-x/3)+1 = 0.95

-e^(-x/3)=-0.05

x/3=ln(0.05)

x=ln(0.05)*3= 8.9872

Answer:

890.908

Step-by-step explanation:

Given that :

Median weekly salary for males :

M(x) = 0.009x3 - 0.29x2 + 30.7x + 439.6

x = number of years after 1980

Median weekly salary for all employees :

T(x) = 0.012x3 - 0.46x2 + 56.1x + 732.3

Estimate the median weekly earnings of a full-time female employee with at least a Bachelor's degree in 2006

Estimated median weekly earning for a full time female employee with at least bachelor's degree ; F(x)

F(x) = T(x) - M(x)

F(x) = (0.012x3 - 0.46x2 + 56.1x + 732.3) - (0.009x3 - 0.29x2 + 30.7x + 439.6)

F(x) = (0.012 - 0.009)x3 + (-0.46 + 0.29)x2 + (56.1 - 30.7)x + (732.3 - 439.6)

F(x) = 0.003x³ - 0.17x² + 25.4 + 292.7

x = 2006 - 1980 = 26

F(26) = 0.003x³ - 0.17x² + 25.4x + 292.7

0.003(26)^3 - 0.17(26)^2 + 25.4(26) + 292.7 = 890.908

=

Answer:

A

Step-by-step explanation:

Because when you see X and Y, x multiplied by -6 is equal to y so if you check -84/-6, your correct answer should be 14 also A, hopefully this gave you the explanation you were looking for!!!!!!!!

Answer: percent is 0.53%

The ratio is 7 to 13 so you just divide 7/13

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

x=21

Step-by-step explanation:

• 8x - 7 = 9x - 28

(group like terms)

• 8x - 9x = -28 + 7

• -1x = - 21

(negative cancels out)

• x = 21

Answer:

Percent decrease is 21.7%

Step-by-step explanation:

The percent decrease is calculated as:

[tex]Decrease\ percentage = \frac{decrease}{Original\ quantity} * 100[/tex]

Given in the question that:

Cost on travel during November = $83

Cost on travel during December = $65

The percent decrease will be calculated by computing decrease(subtracting the cost of December from the cost of November.

[tex]Decrease = Travel\ cost\ in\ November - Travel\ cost\ in\ december\\Decrease = \$83-\$65\\= \$18[/tex]

Now, for percentage decrease

[tex]Percentage\ decrease = \frac{decrease}{Travelling\ cost\ in\ November} * 100\\=\frac{18}{83} * 100\\=21.686..[/tex]

Rounding off to nearest tenth of percent, we get the percentage decrease as 21.7%

Hence,

Percent decrease is 21.7%

Answer:

n + 8 = 62.73

the first one

Step-by-step explanation:

Answer:

I Meant y =  -13

Step-by-step explanation:

Answer:

y= -13

Step-by-step explanation:

-13 plus 20 is 7

plug the -13 in where the y is and do the equation

-13+20=7

Answer

answers is 267 bits oof yard

Step-by-step explanation:

Answer:

146 divided into 18 would be 8.11111111111.. and so on.

Step-by-step explanation:

Hope that helps :)

Answer:

0.98 also 98%

Step-by-step explanation:

In this question we have the Lower limit to be 0.16

We have the Upper limit to be 0.24

Such that (0.16+0.24)/2 = 0.40/2 = 0.20

Standard deviation= √(0.2x0.8/545) this gives 0.017134

Next we get margin of error

Margin of error = 0.24-0.20 = 0.04

Z multiplied by sd =0.04

Such that

Z = 0.04/0.017134 =2.33

On this z score, the Corresponding level of confidence is 0.98

Which is 98%

Answer:

AB have the length of 9

Step-by-step explanation:

5 is to short 14 is too long in between would be 9

Answer:

a) 0.00070

b) 0.00050

c) 0.00022

d) 0.00016

e) 0.00005

Step-by-step explanation:

Standard error for proportion formula

S.E = √P(1 - P)/n

Where P = proportion

n = number of samples

Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of a) 500,000

S.E = √P(1 - P)/n

= √0.46 × 0.54/500000

= √ 4.968 ×10^-7

= 0.0007048404

≈ 0.00070

b) 1,000,000

√P(1 - P)/n

= √0.46 × 0.54/1000000

= 0.0004983974

≈ 0.00050

c) 5,000,000

√P(1 - P)/n

= √0.46 × 0.54/5000000

= √ 4.968 ×10^-8

= 0.0002228901

≈ 0.00022

d) 10,000,000

√P(1 - P)/n

= √0.46 × 0.54/10000000

= √2.484 ×10^-8

= 0.0001576071

≈ 0.00016

e) 100,000,000

√P(1 - P)/n

= √0.46 × 0.54/100000000

= √2.484 × 10^-9

= 0.0000498397

= 0.00005

Answer:

50

I've attached the drawing of my number line to show my thinking.  Download to turn it in if you need to.

Have a beautiful day, and stay safe.

Answer:

C)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The guy above me is correct

Answer:

Likely, I think I havent been in this for a long time so i may be a little rusty. But anyways, I hope this helped!

Step-by-step explanation:

32% is the probability that 3 are blue and 2 are red.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

We have a bag that contains 100 balls, 50 of them red and 50 blue.

We, Select 5 balls at random.

the probability that 3 are blue and 2 are red = 50C3*50C2/50C5

solving we get,

19600*1225/75287520

=24010000/75287520

=0.32

=32%

Hence, 32% is the probability that 3 are blue and 2 are red.

To learn more on probability click:

brainly.com/question/11234923

#SPJ2

Answer:

Students use linear, quadratic, and exponential functions to model data from tables and choose the regression

most appropriate to a given context. They use the correlation coefficient to determine the accuracy of a

regression model and then interpret the function in context. They then make predictions based on their model

and use an appropriate level of precision for reporting results and solutions.  

Lesson 7 focuses on data sets that cannot be modeled accurately, and students are asked

to articulate why. Students use skills learned in Lesson 14 of Module 2 (where they used

calculators to write linear regressions) and apply similar techniques for data sets that are

better suited to modeling with quadratic or exponential regressions. Students use that

same technique to find linear regressions and use their graphing calculators to examine

the correlation coefficient and to find quadratic and exponential regressions. They

compare correlation coefficients to determine which model is best for the data.

Ultimately, students choose the regression model (linear, quadratic, or exponential) most

appropriate to a given data set and then write, verify, and interpret these models in

context. Students need a graphing calculator to complete this lesson. Graphing calculator

instructions are provided, but steps may vary slightly depending on the model of the

graphing calculator.

Refer to the following full modeling cycle during this lesson (Found on page 61 of the CCLS

and page 72 of the CCSSM).

Scaffolding:

 Students are more

engaged when working

with relevant and real data

that interests them.

Websites that provide

data sets are a good

resource for classroom

investigations.

 This lesson might need to

be divided into two days if

students need more time

to master the technology.

Step-by-step explanation:

Answer:

A.) - 0.2992

B.) Q1 = 36.75

Q2 = 38.45

Q3 = 41

C.) IQR = 4.25

D.) LOWER FENCE = 30.375

UPPER FENCE = 47.375

Yes, 49.3

Step-by-step explanation:

Given the data:

Arranged data in ascending order :

31.5, 34.2, 34.7, 35.6, 36.0, 36.2, 37.3, 37.6, 37.8, 38.1, 38.2, 38.4, 38.5, 38.7, 39.5, 39.6, 40.1, 40.6, 41.4, 41.7, 42.2, 42.5, 43.4, 49.3

Using calculator to save computation time :

Population mean (μ) = 38.88

Standard deviation (s) = 3.61

A.) The zscore for individual who obtained 37.8 miles per gallon :

Standardized score formula :

Z = (Score(x) - mean) / standard deviation

Z = (37.8 - 38.88) / 3.61

Z = - 1.08 / 3.61

Z = - 0.29916

Z = - 0.2992

B) The quartile ;

Lower quartile (Q1) :

1/4(n +1)th term

n = sample size = 24

1/4(24 + 1)

= 1/4(25) = 6.25th term

(6th + 7th) =(36.2 + 37.3) = 73.5/2 = 36.75

Upper quartile (Q3) :

3/4(24 +1) = 3/4(25) = 18.75th term

(18th + 19th) = (40.6 + 41.4) = 82/2 = 41

Median (Q2) :

1/2(24 +1) = 1/2(25) = 12.50th term

(12th + 13th) = (38.4 + 38.5) = 76.9/2 = 38.45

C.) interquartile range :

Q3 - Q1 = (41 - 36.75) = 4.25

D.) OUTLIER

LOWER : Q1 - 1.5(IQR) = 36.75 - 1.5(4.25) = 30.375 ; values less than 30.375

UPPER : Q3 + 1.5(IQR) = 41 + 1.5(4.25) = 47.375 ; values greater than. 47.375

Step-by-step explanation:

sum of internal angles of any triangle = 180 degrees

sum of an exterior angle and an interior angle = 180 degrees

Answer: 18 eggs in one carton

Step-by-step explanation:

Basically, the 15 minutes is irrelevant to solve this problem so don’t worry about it. All you have to do to solve this is doing 162/9 to get 18.

Answer:

Step-by-step explanation:

Standardizing a normal distribution is to convert a normal distribution to the standard normal distribution. In real-world applications, a continuous random variable may have a normal distribution with a value of the mean that is different from 0 and a value of the standard deviation that is different from 1.

Answer:

(7;1)

Step-by-step explanation:

The abscissa of B' is going to be the same as abscissa of B , becuse the points are simmetrical over axis x.

However the ordinate of the point B'  will have the opposite sign as ardinate  B. However the module of ordinate B'  is going to be the same as module of orrdinate B.