Two professors are applying for grants. Professor Jane has a probability of 0.61 of being funded. Professor Joe has probability 0.29 of being funded. Since the grants are submitted to two different federal agencies, assume the outcomes for each grant are independent. Give your answer to four decimal places.

Required:
a. What is the probability that both professors get their grantsfunded? Give your answer to four decimal places.
b. What is the probability that at least one of the professors will befunded? Give your answer to four decimal places.
c. What is the probability that Professor Jane is funded but ProfessorJoe is not? Give your answer to four decimal places.
d. Given at least one of the professors is funded, what is theprobability that Professor Jane is funded but Professor Joe is not?

Answer:

free d ddddddd

yes fast

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Answer:

c. 6x + 15 = 39

Step-by-step explanation:

hope this helps

Answer:

y=[tex]\frac{3}{-4}[/tex]x+2

Step-by-step explanation:

Use equation M= [tex]\frac{y2-y1}{x2-x1}[/tex]

this will give you the slope of the line.

to get b which is the y intercept take the y intercept which is 2

Answer:

Step-by-step explanation:

A parallelogram can always be decomposed into two identical triangles by a segment that connects opposite vertices. Going the other way around, two identical copies of a triangle can always be arranged to form a parallelogram, regardless of the type of triangle being used.

Answer:

24

Step-by-step explanation:

3+2=5

5u-> 60

1u->12

2u-> 24

Answer:

The solution is (>)

Step-by-step explanation:

It can be said this is bigger because the number 7 is bigger than 6. The language is simple like this, for example we ignore the 2, the number 75 and 60 is clearly bigger than 75. It's the same as 2.75 with 2.6. So the number is 2.75 bigger than 2.6

Answer:

Jayden: 9t+3s=420

Carson: 1t+6s=296

Step-by-step explanation:

I hope that helps =)

Answer:

x = 3.57

Step-by-step explanation:

5.94 - 2.37 = 3.57

Hope this helped

Answer:

3.57

Step-by-step explanation:

Subtract 2.37 from both sides.

5.94 - 2.37 = 3.57

Answer:

542.5

Step-by-step explanation:

Calculate the volume of a rectangular object by multiplying the length, width and height together. For example, if the length is 80 cm, the width is 7.75 cm, and the height is 7.5 cm, the volume is 80 x 2 x 7.5, or 7.75 cm^542.5

3 (4a - 2) + 5 = 12a – 1

is true

Answer:

Step-by-step explanation:

The diameter of the circle is the length of a line going through the middle from one side to the other.

The radius is the length of a line going from the middle of a cricle to the side.

So, the radius is half of the diameter.

62.8÷2=31.4

The radius is 31.4 cm.

Answer:

there is no square

Step-by-step explanation:

Answer:

7^4 x 3

Step-by-step explanation:

D. A dashed line is used when the inequality is strict ​( < or > ​)

A linear inequality in two variables is obtained by taking a linear equation in two variables, and replacing the equality sign with any one of the four inequality signs: <,>,=<,>=.

The graphed region of points satisfying the inequality is always half of the plane bounded by the corresponding line.

When the inequality is [tex]\leq[/tex] or [tex]\geq[/tex], the line is included. Otherwise, the line is excluded.

So, A dashed line is used when the inequality is strict ​( < or > ​) is not true about the boundary line in the graph of a linear inequality in two​ variables

Therefore, the correct option is D.

Learn more:https://brainly.com/question/15816805

Answer:

The answer is below

Step-by-step explanation:

A circle is the locus of a points such that its distance from a fixed point is always constant.

Since the drone moves in a circular path, therefore the path of the drone forms a circle. The equation of a circle is given by:

(x - h)² + (y - k)² = r²;  where (h, k) is the center of the circle and r is the radius of the circle.

Danny is located at the origin. Since the drone flies in a circular path around an object that is 210 feet west and 220 feet south of his position. Hence the center of the circular path is (-210, -220).

Also, the drone's path takes it over a point that is 160 feet east and 160 feet south of him i.e. (160, -160). Therefore the radius of the circle is the distance between point (-210, -220) and point  (160, -160)

[tex]radius=\sqrt{(160-(-210))^2+(-160-(-220))^2}=\sqrt{140500}[/tex]

Using (x - h)² + (y - k)² = r²:

[x - (-210)]² + [y - (-220)]² = (√140500)²

(x + 210)² + (y + 220)² = 140500

x² + 420x + 44100 + y² + 440y + 48400 = 140500

x² + y² + 420x + 440y - 48000 = 0

Answer:

x<3

Step-by-step explanation:

5x+12+3x<36

First subtract 12 from both sides.

5x+3x<24

Next combine like terms on the left side (5x and 3x)

8x<24

Next divide 8 from both sides

x<3

Answer:

3.3467385e+33

Answer:

C=65t+55

Step-by-step explanation:

I just took the quiz

The equation for cost, C, after t months of service is C= 55t + 65.

Your internet service provider (ISP) charges a $55 installation fee and a fixed charge per month for its service. The total cost for monthly service after 6 months is $455.

Here c means the cost, t means the number of months

So,

C = 55t + 65

Learn more about the equation here: https://brainly.com/question/3914382

it would be D y=2x +2

Answer:

Step-by-step explanation:

Parallel lines have same slope.

y= mx + b

Slope = m  & b = y-intercept

y = 3/4 x - 1

m = 3/4 ;   (-4 , -1)

y - y1 = m(x - x1)

[tex]y - [-1]=\frac{3}{4}(x -[-4])\\\\y + 1 = \frac{3}{4}(x+4)\\\\y +1 = \frac{3}{4}*x + 4*\frac{3}{4}\\\\y + 1 = \frac{3}{4}x+3\\\\y =\frac{3}{4}x+3-1\\\\y =\frac{3}{4}x+2[/tex]

Answer:

224cm squared

Step-by-step explanation:

The area of the parallelogram is 32 cm².

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

The area of a parallelogram is base x height.

We have,

Area of a parallelogram.

= base x height _____(A)

Now,

Base = 8 cm ____(1)

Height = 4 cm ____(2

Now,

Substitute (1) and (2) in (A).

Area = 8 x 4

Area = 32 cm²

Thus,

The area of the parallelogram is 32 cm².

Learn more about parallelograms here:

https://brainly.com/question/1563728

#SPJ2

Answer:No answer

Step-by-step explanation: There is nothing shown below sooooooooooooooo... u set urself upfor FAILURE

Answer

P= 2L+2W

P=2(12) +2(7) =38

Step-by-step explanation:

The width of a rectangle is 5 meters less than its length. The area is 84 square meters. Find the dimensions of the rectangle and the perimeter of the rectangle.

First it helps to draw a picture so draw a rectangle

Remember that area of a rectangle =Length times width and the perimeter is P= 2 times the length plus 2 times the width

So A=LW and P=2L+2W

84= area

L=length

W= length -5

L(L-5)=84 distribute the L and you have L2 -5L=84 now subtract 84 from both sides and get L2 �5L-84 next factor to get (L+7)(L-12) next set both to =0 (L+7)=0 (L+12)=0 solve for L

L=-7 and L=12 you can�t have a negative length so -7 is out. So L=12 now plug in to the original area equation

84=LW 84= 12w now divide both sides by 12 to isolate W, this gives you W=7

L=12 and W= 7

For perimeter use 12 for the length and 7 for width Remember that P= 2L+2W

P=2(12) +2(7) =38

Answer:

3 x 7 x 7 x 7 x 7

= 3 x [tex]7^{4}[/tex]

Answer:

$0.60

Step-by-step explanation:

just divide the 2 one

what half of 120?

60

60 cents

Answer:

B

Step-by-step explanation:

The speed each day is faster than 3.5. Otherwise known as the mileage covered each day.

Answer:

9.7 cm

Step-by-step explanation:

[tex] \frac{ \sin(82) }{c} = \frac{ \sin( 55)}{8} \\ c = \frac{8 \times \sin(82) }{ \sin(55) } = \\ c = \frac{7.922}{0.819} = 9.67 = 9.7[/tex]