combine like terms !-3r - 5 + 2r - 3r - 2s
HELP ASAP

The question is incomplete. The complete question is :

Suppose X and Y have a bivariate normal distribution with [tex]$\sigma_X = 0.04, \sigma_Y = 0.08, \mu_X = 3.00, \mu_Y = 7.70$[/tex] and ρ = 0.

Determine the following. Round your answers to three decimal places (e.g. 98.765).

(a). [tex]$P(2.90 < X < 3.10) =$[/tex]

(b). [tex]$P(7.60 < X < 7.80) =$[/tex]

(c). P(2.90 < X < 3.10, 9.60 < Y < 7.80) =

Solution :

We have

[tex]$X \sim N (\mu_X=3, \sigma_X^2=0.04^2)$[/tex]  and

[tex]$Y \sim N (\mu_Y=7.7, \sigma_Y^2=0.08^2)$[/tex]

a). The required probability is

   [tex]$P(2.90 < X < 3.10) =$[/tex] [tex]$P\left(\frac{2.9-3}{0.04}< Z < \frac{3.1-3}{0.04}\right)$[/tex]

  = P(-2.5 < Z < 2.5)  =  P(Z < 2.5) - P(Z < -2.5)

  = P(Z < 2.5) - [1-P(Z < 2.5)]

 = 2P(Z < 2.5) - 1

 = 2(0.99379) - 1

 = 0.98758

 ≈ 0.988

b). The required probability is

   [tex]$P(7.6 < X < 7.8) =$[/tex] [tex]$P\left(\frac{7.6-7.7}{0.08}< Z < \frac{7.8-7.7}{0.08}\right)$[/tex]

  = P(-1.25 < Z < 1.25)  =  P(Z < 1.25) - P(Z < -1.25)

  = P(Z < 1.25) - [1-P(Z < 1.25)]

 = 2P(Z < 1.25) - 1

 = 2(0.89435) - 1

 = 0.7887

 ≈ 0.789

c). Since, ρ = 0, so the X and Y are independent. Thus the required probability is :

P(2.90 < X < 3.10, 9.60 < Y < 7.80) = P(2.9 < X < 3.1) x P(7.6 < Y < 7.8)

     = (0.98758)(0.7887)

     = 0.77890

      ≈ 0.779

Answer:

C

Step-by-step explanation:

The 3 would go on the outside.

Answer:

8 5 7 1 3 2 4 6

Step-by-step explanation:

my Cashsap kinqcollin

Answer: 5/18

Step-by-step explanation: A circle is 360 degrees so if you are turning 100 degrees... you would get 100/360 of the way around the circle.

100/360 = 5/18

Answer:2 14

Step-by-step explanation:

9514 1404 393

Answer:

  135

Step-by-step explanation:

The prism is 9/4 cm = 9×(1/4 cm) = 9 cubes wide.

The prism is 3/4 cm = 3×(1/4 cm) = 3 cubes deep.

The prism is 5/4 cm = 5×(1/4 cm) = 5 cubes high.

The number of cubes that will fill the prism is ...

  9 × 3 × 5 = 135 . . . cubes to fill the prism

Answer:

6 choices

Step-by-step explanation:

Answer:

Draw a Rectangle with 3/10 at the bottom and 1/2 at the top

Step-by-step explanation:

Have a Nice Day!

Answer:

- 1 + 5 + 2 y is your answer I am the teacher

Answer:

-16

Step-by-step explanation:

(X + Y)

= (-3 + -5)

= -8

(X - Y)

= (-3 - -5)

= 2

Because  they're still in brackets in this form:

(-8) (2)

You multiply them both and you'll get the answer:

-16

hope this helped!

Answer:

3/4

Step-by-step explanation:

So remembering the length times width formula:

Put it in an equation-

(2x+1)(4x-3)

Now start to solve for x:

Multiply using 'foil' method:

(2x+1)(4x-3)

8x -6x + 4x -3

8x -2x -3

Now, factrorize 8x^2 - 2x - 3:    (Put a square since this is square measures)

8x^2 - 2x - 3   Sum = -2

                   Product = -24

                   Two numbers that give you the sum of -2 and product of -24:

                    -6 and 4

So now factor out like terms:

8x^2 -6x + 4x -3

2x(4x - 3) + 1(4x - 3)

(2x + 1) (4x-3) = 0

Solve for x in both:

2x + 1 = 0

x = -1/2

4x - 3 = 0

x = 3/4

The area cant be negative so the area in terms of x is:

x = 3/4

(Hope this helped)

Answer:1 + 1

Step-by-step explanation:because 1+1 is 1+1

Answer:

4 times larger

Step-by-step explanation:

Answer:

The annual percentage yield is of 2.78%.

Step-by-step explanation:

Annual percentage yield of an account:

The annual percentage yield of an account compounded n times during the year with a decimal interest rate of r is given by:

[tex]Y = (1+\frac{r}{n})^n - 1[/tex]

Pays 2.75% compounded quarterly

This means that [tex]r = 0.0275, n = 4[/tex]. So

[tex]Y = (1+\frac{r}{n})^n - 1[/tex]

[tex]Y = (1+\frac{0.0275}{4})^4 - 1[/tex]

[tex]Y = 0.0278[/tex]

0.0278 = 2.78%

The annual percentage yield is of 2.78%.

Answer: all of dem except for 6

Step-by-step explanation:

Step-by-step explanation:

- 35/10(2-15n/10) 145n/10 - 7 - 6n

-70/10 +35*15n/100.145n/10 -7-6n

-7 + 525n/100.145n/10 -7- 6n

-14 +5.25n .14.5n -6n

-14 +76.125n^2 -6n is final answer

Answer:

8/15

Step-by-step explanation:

In a right triangle, where B is an acute angle, the tan B is equal to the measure of the side opposite B divided by the measure of the shorter side at B

tanB = 16/30 = 8/15

Answer:

The advertisement should use 16 minutes.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.

This means that [tex]m = 3.5, \mu = \frac{1}{3.5} = 0.2857[/tex]

What number of minutes should the advertisement use?

The values of x for which:

[tex]P(X > x) = 0.01[/tex]

So

[tex]e^{-\mu x} = 0.01[/tex]

[tex]e^{-0.2857x} = 0.01[/tex]

[tex]\ln{e^{-0.2857x}} = \ln{0.01}[/tex]

[tex]-0.2857x = \ln{0.01}[/tex]

[tex]x = -\frac{\ln{0.01}}{0.2857}[/tex]

[tex]x = 16.12[/tex]

Rounding to the nearest number, the advertisement should use 16 minutes.

Answer:Interquartile Range (IQR) ... IQR: Step 1: Put the data in order from least to greatest. ... If the number of data points is even, the median is the average of the middle two data points. ... The first quartile is the median of the data points to the left of the median in the ... Is it possible for the IQR to be less than the given data points?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

1 in 144

Step-by-step explanation:

There is one 8 on a 12-sided die, so the probability of rolling an 8 once is [tex]\frac{1}{12}[/tex].

We are rolling twice, so [tex](\frac{1}{12})^{2} =\frac{1}{144}[/tex].

Answer:

Quadrilateral, square, rectangle

Step-by-step explanation:

An object have parallel sides if the sides have the same distance apart and they never meet.  

Quadrilaterals usually have parallel sides

Polygons including triangles and pentagons do not have parallel sides

the sides of a quadrilateral are also perpendicular. the sides form a 90 degree angle with each other

Opposite sides of a quadrilateral are usually equal. For example, the opposite lengths of a rectangle are equal. the four sides of a square are equal

Answer:

$551.25

Step-by-step explanation:

$450 x 7.5% = 33.75

33.75 x 3 = 101.25

101.25 + 450 = 551.25

Answer:

Step-by-step explanation:

0: -2

1: -4

2: -6

Answer:

G

Step-by-step explanation:

Answer:

its G

Step-by-step explanation:

Answer:

Hey Mate...

Step-by-step explanation:

All that the slope-intercept form (the equation to describe linear equations) is, is an equation (y=mx+b) where m (the number that multiples x) is the slope and b (the number that is not multiplying a variable on the right-hand side of the equation) is the y-intercept.

Answer:

Step-by-step explanation:

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Answer:

?

Step-by-step explanation:

Answer:

-59 + 39i

Step-by-step explanation:

Apply the Distributive Property of Multiplication:

(9)(-6) + (9)(5 i) - 6i - 5 (recall that i^2 = -1)

or:

-54 + 45i - 6i - 5, or

-59 + 39i