solve for x, and explain how u did it :)

Step-by-step explanation:

Let X be a random variable with PDF given by

fX(x)={ cx2 |x|≤1 0 otherwise

Find the constant c.

Find EX and Var(X).

Find P(X≥

1

2

).

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:

AB have the length of 9

Step-by-step explanation:

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

Answer:

[tex](\frac{-11}{2},5)[/tex]

General Formulas and Concepts:

Pre-Alg

Alg I

Step-by-step explanation:

Step 1: Define

Point (-3, 8)

Point (-8, 2)

Step 2: Solve for midpoint

Answer:

The answer is (-5.5, 5)

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.

Complete question :

A study was done to investigate the population of bald eagle breeding pairs over time. The correlating regression model is shown

below, wiere x represents the number of years after 1986, and y represents the number of bald eagle breeding pairs. Interpret the y-

intercept

y = 1.772 +334x

Answer:

B. There were approximately 1.772 eagle breeding pairs in 1986

Step-by-step explanation:

Given the regression equation : y = 1.772 +334x

Recall the general form of a linear regression equation :

y = mx + c

y = predicted variable ; x = predictor Variable ; c = intercept ; m = slope

x = number of years after 1986 ; y = number of bald eagle pairs.

The intercept is a constant value at time t = 0

For x to be 0, on a graph, this this the value on the y axis where the regression line crosses the y - axis. That is in 1986; the number of y when in 1986 when x = 0 is 1.772

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:

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:

a. Yes

Step-by-step explanation:

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:

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:

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:

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:

Lol I can't help im sorry

Answer:

Probability =0.8854 (Approx)

Step-by-step explanation:

Given:

Mean μ = 100

Standard deviation σ = 15

Computation:

Z at 70

Z = (70-100)/15

Z at 70  = -2

Z at 120

Z = (120-100)/15

Z at 100 = 1.33

Probability = φ(1.33) - φ(-2.0)

Probability = 0.9082-0.0228  

Probability = 0.8854 (Approx)

Answer:

B

Step-by-step explanation:

I am learning this now and I used the equation I'm learning and I got 294.

Answer:

d

Step-by-step explanation:

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:

C)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The guy above me is correct

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

how I'm supposed to answer this

Answer:

we need the total pieces

Step-by-step explanation:

how many pieces of the ancient ceramic bowl are there

4 pieces out of what?

we need the total pieces

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.

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:

n + 8 = 62.73

the first one

Step-by-step explanation:

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