Two professors are applying for grants. Professor Jane has a probability of 0.64 of being funded. Professor Joe has probability 0.28 of being funded. Since the grants are submitted to two different federal agencies, assume the outcomes for each grant are independent.

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

Answers

Answer 1
I think the answer is d I believe snsnjsjssk

Related Questions

I need you guy’s help answer thanks so much

Answers

Answer:

(c) (f-g ) (x) = 6x*3 -2x*2 +4x -8

William sold tooth pick for €2 a pack.On Selling 60% of his ware he still had 200 left.How much money did he collect from his entire sales?

Answers

Answer:

.......................

Which inequality represents all values of x which the product below is defined Square root 4x Square root x+2

Answers

Answer:

Option (D) x≥ 0 is absolutely correct

Step-by-step explanation:

The reason is that the square root function is defined for only non negative numbers.

Answer: x is greater than or equal to 0

Step-by-step explanation:

Supervisor: "I need you to increase the number of customers you talk to daily by
20%."
Employee: "I talk to an average of 8 customers per hour during an 8 hour shift so
now I'll need to talk to customers per day."
68
77
85
97
160
NEXT

Answers

Answer:

77

Step-by-step explanation:

Currently:

Talk to 8 customers per hour, work 8 hours, so:

Talk to 8*8 = 64 customers.

With the increase:

Has to increase by 20%, so 64 is multiplied by 1 + 0.2 = 1.2. Then

64*1.2 = 76.8

Rounding up, 77 is the answer.

the point a(2,-5) is reflected over the origin and its image is point b. what are the coordinates of point b

Answers

Answer:

b(-2,-5)

Step-by-step explanation:

How do I solve this?

Answers

The question is somewhat poorly posed because the equation doesn't involve θ at all. I assume the author meant to use x.

sec(x) = csc(x)

By definition of secant and cosecant,

1/cos(x) = 1/sin(x)

Multiply both sides by sin(x) :

sin(x)/cos(x) = sin(x)/sin(x)

As long as sin(x) ≠ 0, this reduces to

sin(x)/cos(x) = 1

By definition of tangent,

tan(x) = 1

Solve for x :

x = arctan(1) +

x = π/4 +

(where n is any integer)

In the interval 0 ≤ x ≤ 2π, you get 2 solutions when n = 0 and n = 1 of

x = π/4   or   x = 5π/4

Find the product:
1 -1 2
12 1 0] -1 -2 1 [a b c
0 1 1
a
12
b=0

Answers

Answer:

[tex][1, -4 ,5][/tex]

Step-by-step explanation:

In this question we are multiplying together two matrices. When we multiply a (1 x 3) matrix with a (3 x 3) matrix, we get a (1 x 3) matrix.

To compute each value, all you need to do is take the each value in each row in the first matrix, and multiply it by each value in each column of the second matrix and add up the result. So let's do that.

[tex]a = (2 * 1) + (1 * -1) + (0 * 0) = 2 - 1 + 0 = 1[/tex]

[tex]b = (2 * -1) + (1 * -2) + (0 * 1) = -2 -2 = -4[/tex]

[tex]c = (2 * 2) + (1 * 1) + (0 * 1) = 4 + 1 + 0 = 5[/tex]

Suppose v1 , v2 , v3 ,v4 are vectors in R3.
(a) These four vectors are dependent because_________ .
(b) The two vectors v1 and v2 will bedependent if_________ .
(c) The vectors v1 and (0, 0, 0) are dependent because________ .

Answers

Answer:

a. These four vectors are dependent because there are columns of 3 by 4 matrix with one free variable.

b. If one is a multiple of other

c. c1v1 + c20 = 0 has nontrivial solution.

Step-by-step explanation:

Any set of 4 or more vectors must be linearly dependent. The non trivial combination of vector may produce zero as the set is linearly dependent. The vector v1 and v2 will be dependent if one is the multiple of the other.

Find the distance across the lake, assume the triangles are similar

Answers

Answer:

C

Step-by-step explanation:

Since the triangles are similar, the scale factor is 100/5=20. So L/15=20, L=300

I really need the help please and thank you

Answers

Answer:

Answer is D.

Step-by-step explanation:

Let the inverse be m:

[tex]{ \sf{m = \sqrt{x} - 8 }} \\ { \sf{m + 8 = \sqrt{x} }} \\ { \sf{x = {(m + 8)}^{2} }} \\ { \bf{f {}^{ - 1} (x) = {(x + 8)}^{2} }}[/tex]

Domain:

[tex]{ \sf{x \geqslant - 8}}[/tex]

Help only #31,33, please thank you

Answers

Answer:

31) 4d + 28            33) 10 + 5

Step-by-step explanation:

31) 4 ( d + 7) = 4 x 7 = 28 = 4d + 28

33) 5 ( 2m + 1 ) = 5. 2m + 5 . 1: 10m + 5

Convert the following numbers into scientific notation. ( i did them but I feel like they wrong can y’all correct them if they are?)

Answers

Answer:

only 4 is incorrect...

1,450,000 = 1.45 x [tex]10^{6}[/tex] NOT

1,450,000 = 1.45 x [tex]10^{7\\}[/tex]

Step-by-step explanation:

(2√8)(√2) =
Select one:
a. 128
b. none of these
c. 6√10
d. 32
e. 8√16

Answers

the answer is B none of these the real answer is 8. hope this helps :)

Please Help! I will give you the brainiest and a lot of points!

Answers

Ok so I am gonna help you with this question I hope it helps you okay!

There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.08 cm. The second machine produces corks with diameters that have a normal distribution with mean 3.04 cm and standard deviation 0.04 cm. Acceptable corks have diameters between 2.9 cm and 3.1 cm.
1. What is the probability that the first machine produces an acceptable cork?
2. What is the probability that the second machine produces an acceptable cork?
3. Which machine is more likely to produce an acceptable cork?

Answers

Answer:

Step-by-step explanation:

Describe what is the most difficult part of solving equations, for you personally.

Answers

What do you personaly feel like is most dificult.

For me its rembering minus signs

Getting everything in the proper spot. Like forming them as according to the formula because after that it’s pretty simple

What is the solution to the equation fraction 1 over 3x = 6?

x = 18
x = 2
x = fraction 1 over 2
x =

Answers

Hi there!

[tex]\large\boxed{\frac{1}{18}}[/tex]

1/3x = 6

Begin by multiplying both sides by 3 to cancel the fraction:

1/x = 18

Take the reciprocal of both sides:

x = 1/18

Answer:

1/18

Step-by-step explanation:

I N E E D P O I N T S :O)

Please help me with this someone

Answers

9514 1404 393

Answer:

   79 23/24 yards

Step-by-step explanation:

  10 5/8 +24 5/6 +44 1/2 = (10 +24 +44) +(5/8 +5/6 +1/2)

  = 78 +(15/24 +20/24 +12/24) = 78 +47/24 = 79 23/24 . . . yards

_____

Express the fractions over a common denominator, add, and convert back to a mixed number. Here, the fraction cannot be reduced.

47/24 = 1 23/24

This is Some next level Geometry

Answers

Step-by-step explanation:

Measure of Angle 1 is 115 due to corresponding angles postulate

Measure of Angle 2 is 65 is linear pair postulate.

1 is 115 degrees and 2 is 65 degrees

f(x)=|x| to the graph of g(x)=∣∣4+x∣∣?

Answers

For this set the inside equal to 0.

4+x=0
x=-4

So from the original function, the graph shifts over 4 units to the left.

Functions f and g are defined for all real
numbers. The function f has zeros at -2, 3, and 7:
and the function g has zeros at -3, -1, 4, and 7.
How many distinct zeros does the product
function f g have?

Answers

9514 1404 393

Answer:

  6

Step-by-step explanation:

The number of distinct zeros in the product will be the union of the sets of zeros. Duplicated values are not distinct, so show in the union of sets only once.

  F = {-2, 3, 7}

  G = {-3, -1, 4, 7}

  F∪G = {-3, -2, -1, 3, 4, 7} . . . . . . a 6-element set

The product has 6 distinct zeros.

_____

As you may notice in the graph, the duplicated zero has a multiplicity of 2 in the product.

The cost of three pants and four shirts is $68.45 if a pant costs $6.85 more than a shirt find the cost of a pant and a shirt estimate to the nearest whole number.

Answers

Which of the following statements is generally true about change in the workplace ? a ) Most people accept change easily . b) Smart companies can avoid change altogether. c) Change in the workplace fairly infrequently d) Individuals can learn to manage the change in their lives.

Answer:

3 pants are $20.55

4 shirts are $47.9

Step-by-step explanation:

a pant is $6.85 × 3= $20.55

68.45 - 20.55 = $47.9

$47.9 ÷ 4 = $11.98 a shirt

Help? Thanks!!!!!!!! If possible show work please!

Answers

Answer:

[tex]B =102[/tex]

[tex]Y = 32[/tex]

Step-by-step explanation:

Solving (47):

To solve for B, we have:

[tex]B + 50 + 28 = 180[/tex] --- sum of angles in a triangle

This gives

[tex]B + 78 = 180[/tex]

Collect like terms

[tex]B =- 78 + 180[/tex]

[tex]B =102[/tex]

Solving (48):

To solve for Y, we have:

[tex]X + Y+ Z = 180[/tex] --- sum of angles in a triangle

This gives

[tex]Y = 180 - X - Z[/tex]

Where

[tex]W+ X=180[/tex] -- angle on a straight line

Solve for X

[tex]X=180 -W[/tex]

[tex]X=180 -100 = 80[/tex]

So, we have:

[tex]Y = 180 - X - Z[/tex]

[tex]Y = 180 - 80 - 68[/tex]

[tex]Y = 32[/tex]


Write an equation in slope-intercept form for the line with slope -3/2
and y-intercept 5.

Answers

Answer: y = -3/2x + 5

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope = -3/2b = y-intercept = 5

y = -3/2x + 5

Answer:

y = -3/2x + 5 totally

Step-by-step explanation:

the
Calculate the consumer Surplus, if the
demand function is given as pdf=Q²-3q-4 at
the equilbrum
Price of
6.00

Answers

Answer:

2

Step-by-step explanation:

33

2 that should be it i think

If the nominal rate of interest is 10% per annum and there is quarterly compounding, the effective rate of interest will be: a) 10% per annum b) 10.10 per annum c) 10.25%per annum d) 10.38% per annum​

Answers

9514 1404 393

Answer:

  d) 10.38%

Step-by-step explanation:

The multiplier for four quarters of quarterly compounding is ...

  (1 +10%/4)^4 = 1.025^4 = 1.103812890625

This is about 1 + 10.38%.

The effective rate of interest is about 10.38% per annum.

Determine whether the following polygons are similar. If yes, type 'yes' in the Similar box and type in the similarity statement and scale factor. If no, type 'None' in the blanks. For the scale factor, please enter a fraction. Use the forward dash (i.e. /) to create a fraction (e.g. 1/2 is the same as 12
1
2
).

Answers

Answer:

Step-by-step explanation:

No because the measurement of their angles are different. If the angle measurements were the same, they would have been similar.
You see in the smaller triangle, the given angle is 55 degrees while in the bigger triangle the given angle is 30 degrees.
The angles are in the same place in both triangles. So we will get to the conclusion that they are DIFFERENT.

A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective.

a. Suppose a sample of 865 floppy disks is drawn. Of these disks, 112 were defective. Using the data, estimate the proportion of disks which are defective.
b. Suppose a sample of 865 floppy disks is drawn. Of these disks, 112 were defective. Using the data, construct the 95% confidence interval for the population proportion of disks which are defective.

Answers

Answer:

a) 0.1295

b) The 95% confidence interval for the population proportion of disks which are defective is (0.1071, 0.1519).

Step-by-step explanation:

Question a:

112 out of 865, so:

[tex]\pi = \frac{112}{865} = 0.1295[/tex]

Question b:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 865, \pi = 0.1295[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1295 - 1.96\sqrt{\frac{0.1295*0.8705}{865}} = 0.1071[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1295 + 1.96\sqrt{\frac{0.1295*0.8705}{865}} = 0.1519[/tex]

The 95% confidence interval for the population proportion of disks which are defective is (0.1071, 0.1519).

Solve for x.
2(3x - 7) = 16
Simplify your answer as much as possible.
X =

Answers

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

2(3x - 7) = 16

Step 2: Solve for x

[Division Property of Equality] Divide 2 on both sides:                                  3x - 7 = 8[Addition Property of Equality] Add 7 on both sides:                                     3x = 15[Division Property of Equality] Divide 3 on both sides:                                  x = 5

Answer:

X=5

Step-by-step explanation:

divide by 2 on both sides first then you have

3x-7 = 8

take 7 to the other side so that you have an X factor on one side, thus

3x =15

then divide by 3 to remain with X

X = 5

write
the following numbers using Roman numerals 20​

Answers

Step-by-step explanation:

xx is the Roman number of 20

X= 10
(one x equal 10)
XX= 20
(two x’s (10+10) equals 20)
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