We write "3.4 cm + 4.3 cm = 7.7 cm," but the sum could be as small as --------- cm

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:

80

Step-by-step explanation:

180 - 100 = 80. 180º is required for a straight line, and 100º have already been shown from the other angles. x = 80

Answer:

c, cause yeah

Answer:

C: a quadrilateral with exactly one pair of parallel sides

Answer:

$32

Step-by-step explanation:

a dollar is 100 cents. so simply sake away the two zeros at the end.

Answer:

$32

Step-by-step explanation:

the answer is thirty two dollars because a dollar is 100 cents and 3200 ÷ 100 =32

Answer:

9x +4y

Step-by-step explanation:

step 1 : parentheses are priorities

so multiple the 6 to the parentheses

6x + 24y +3x -20y

combine the x's together

6x +3x + 24y -20y

9x + 4 y

Answer:

[tex]9x + 4y[/tex]

Step-by-step explanation:

1) Expand by distributing term.

[tex]6x + 24y + 3x - 20y[/tex]

2) Collect like terms.

[tex](6x + 3x) + (24y - 20y)[/tex]

3) Simplify.

[tex]9x + 4y[/tex]

Hence, the answer is 9x + 4y.

Answer:

71 is 10% of 710

52 is 97% of 5200/97

Step-by-step explanation:

Let’s start with 71 is 10% of what number.

basically, what this is saying, is that 71 = 10% times and unknown valu. We can set this as x.

so, 71=0.1x

divide on both sides,

710=x

now the second one.

repeat the same process.

52=0.97x

divide

5200/97 =x

Answer:

0.875

Step-by-step explanation:

have a good day/night

may i please have banilliest

thank u

sorry if wrong

Step-by-step explanation:

MULTIPLY length x width x height

Answer:

15 feet

Step-by-step explanation:

This is already factored for the zeros of the quadratic.  If x - 5 = 0 and x - 20 = 0 then x = 5 and 20.  The ball was kicked 5 feet out and landed at 20 feet down the field.  The difference is 15 feet.  That's how far the ball traveled from its initial position on the ground to its landing place.

So 15 feet from where it was kicked.

Answer:

1. 1/6 2. 80

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

r = 10.5 m

Step-by-step explanation:

Given that,

A bicycle wheel turns 15 times in covering a distance of 66 m.

We need to find the radius of the wheel.

The distance that a wheel travels in one rotation is simply the circumference of the circle.

[tex]2\pi r=66[/tex]

Where

r is the radius of the wheel

Put all the values,

[tex]r=\dfrac{66}{2\pi}\\\\r=\dfrac{66\times 7}{2\times 22}\\\\r=10.5\ m[/tex]

So, the radius of the wheel is equal to 10.5 m.  

Answer:

it will take 4 years

Step-by-step explanation:

tree one: 8+1= 9,10,11,12

tree two: 10+.5= 10.5,11,11.5,12

1) 16

2) -6 -(-17) = -6 +17= 11

3) 19 -(-2) = 19 + 2 = 21

4) -13 + 20 = 7

5) -22

6) -9

7) -19

8) -6

9) -17

10) -20

11) -15 -(-10) = -15 + 10 = -5

12) -1

13) 30

14) 11 -(-9) = 11 + 9 = 20

15) 16

16) -21

Answer:

x = 1 and y = -1

Step-by-step explanation:

Answer:

x=60

Step-by-step explanation:

(1/6)(x+6)=11

Multiply both sides by six:

(6)(1/6)(x+6)=11(6)

x+6=66

Take six from both sides:

x+6-6=66-6

x=60

Answer:

A

Step-by-step explanation:

Answer:

The LCD in 1/30 + 1/24 is 90.

Answer:

-27

Step-by-step explanation:

first add 22 to both sides

-x/9=3

then isolate x by multiplying by 9

-x=27

x can't be negative so multiply by -1

x=-27

Answer:

x = -27

Step-by-step explanation:

Solve the equation by inverse operations and you get x = - 27

Answer:

20

Step-by-step explanation:

35-55?

im not sure sorry if im wrong

Answer:

26 points

Step-by-step explanation:

Find the mean number of points by adding up all of the points and dividing it by 5

(21 + 25 + 36 + 16 + 32) / 5

130 / 5

= 26

So, the mean number of points is 26 points

Jody's team scored 21, 25, 36, 16 and 32 points at the last five football games. What is the mean number of points Jody's team scored ?

To find the mean, first of all we have to add up all the given points and then divide by how many number of points there are. So, there are total 5 points. Hence, we have to divide all the given points by 5.

So, Mean = [tex] \bf \frac{21 \: + \: 25 \: + \: 36 \: + \: 16 \: + \: 32}{5} [/tex]

Mean = [tex] \bf \frac{130}{5} [/tex]

Mean = [tex] \bf 26 [/tex]

9514 1404 393

Answer:

  B.  negative trend

Step-by-step explanation:

The sign of the slope of the best-fit line is the sign of the "trend". A line that slopes downward has a negative slope. Such a best-fit line indicates a negative trend.

Answer:

According to me it should be -6 [tex]\leq[/tex] y [tex]\leq[/tex] 2.

Step-by-step explanation:

43

if so, use the formula for sum of interior angles in a polygon to solve. 7380 = (n - 2)(180), where n is the number of sides. The number of sides of the polygon is 43.

There are 43 sides in a polygon,  if the sum of its interior angle measures is 7380°.

A Polygon is a closed figure made up of line segments (not curves) in a two-dimensional plane.

We have to find the number of sides in a polygon.

The sum of its interior angle measures is 7380°

The sum of the interior angles of a polygon can be calculated using the formula S = (n - 2) x 180°

where n is the number of sides of the polygon

7380 = (n-2)×180

We have to solve for n

Divide both sides by 180

7380/180=n-2

41=n-2

Add 2 on both sides

43 = n

Hence, there are 43 sides in a polygon,  if the sum of its interior angle measures is 7380°.

To learn more on Polygon click:

https://brainly.com/question/24464711

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Answer: 42.5%, 7.5%, Independent and Dependent

Step-by-step explanation:

A: The chance that both FDA will approve and double the value is 50%*85% or 0.50*0.85, or 85*1/2 which is 42.5%

B: 50%*(100-85)%=50%*15%=15%*1/2=7.5%

C: FDA approval is independent because nothing can effect it. However, the stock doubling is dependent, because if FDA does not approve, it will definitely not double.

Answer:

See explanation

Step-by-step explanation:

A: 50% * 85% = 42.5%

B: 50% * 15% = 7.5%

C: Dependent, because the stock price has a 0% chance of doubling if the GDA does not approve of the medicine.