Answer:
a) 0.1769 = 17.69% probability that both professors get their grants funded.
b) 0.7231 = 72.31% probability that at least one of the professors will be funded.
c) 0.4331 = 43.31% probability that Professor Jane is funded but Professor Joe is not.
d) 0.5989 = 59.89% probability that Professor Jane is funded but Professor Joe is not
Step-by-step explanation:
a. What is the probability that both professors get their grants funded?
Jane has a 0.61 probability of being funded.
Joe has a 0.29 probability of being funded.
So
[tex]p = 0.61*0.29 = 0.1769[/tex]
0.1769 = 17.69% probability that both professors get their grants funded.
b. What is the probability that at least one of the professors will be funded?
None:
Jane has a 1 - 0.61 = 0.39 probability of not being funded.
Joe has a 1 - 0.29 = 0.71 probability of not being funded.
0.39*0.71 = 0.2769
At least one:
1 - 0.2769 = 0.7231
0.7231 = 72.31% probability that at least one of the professors will be funded.
c. What is the probability that Professor Jane is funded but Professor Joe is not?
Jane has a 0.61 probability of being funded.
Joe has a 1 - 0.29 = 0.71 probability of not being funded.
0.61*0.71 = 0.4331
0.4331 = 43.31% probability that Professor Jane is funded but Professor Joe is not.
d. Given at least one of the professors is funded, what is the probability that Professor Jane is funded but Professor Joe is not?
0.4331/0.7231 = 0.5989
0.5989 = 59.89% probability that Professor Jane is funded but Professor Joe is not
A manager uses the following equation to predict monthly receipts: Y-450-10 Lt time in weeks and y = receipts.) What is the forecast for July 14th ift=4 is the fourth week in January and t = 6 is February 14th of the same year (assume there are 4 weeks in each month)?
a. 690
b. 710
c. 730
d. 750
A major reason that decision making is often not such a rational process is that there are: Suppose we have H0:µ1= µ2 versus HA: µ1 ≠ µ2, with level of significance of α =.05 and critical values of zα/2 = ± 1.96, and the computed Test Statistics value of Z = -1.07. What is our decision?
Answer:
b. 710
Fail to reject H0
Step-by-step explanation:
Forecast for July 14 :
Assume there are 4 wwwks in each month :
January to June = ( 4 * 6 months) = 24 weeks in 6 months ;
July - July 14 = 2 weeks :
2 + 24 = 26 weeks
The model given :
Y = 450 + 10t
Y = 450 + 10(26)
Y = 450 + 260
Y = 710
2.)
Test is a 2 tail test :
Zstatistic = - 1.07
At 95% confidence = ±1.96
Zcritical = - 1.96
Hence,
Reject H0 if ;
Zstatistic < Zcritical
-1.07 > 1.96
Hence, fail to reject H0.
Fred earns $ 45 mowing the lawn. He spends $ 5 on music, and puts half of what's left in a savings account. He then gets another $ 10 for washing his neighbor's car. First, write the expression that represents the number of dollars Fred keeps (and does not put in his savings account), and then simplify.
Answer:
$30
Step-by-step explanation:
Given that :
Amount earned for mowing = $45
Amount spent on music = $5
Amount earned for washing neighbor's car = $10
Amount saved = half or remaining amount
Amount of dollars Fred keeps =
Amount Fred keeps:
[(Amount earned - amount spent) / 2] + $10
[($45 - $5) / 2] +
($40 / 2) + $10
= $20 + $10
= $30
karl can flip 3 water bottles in 1/8 of a minute at that rate how many bottles can we expect him to flip in 1 minute
Answer:
Step-by-step explanation:
x/1=3/(1/8)
x=3(8/1)=24 bottles per minute
Read and choose the correct option to answer the question.
El doctor receta las gotas a Felipe para el picor en la garganta y los ojos y para no estornudar.
For which scenario would the text above best apply?
A person with a twisted ankle
A person with itchy eyes
A person who has an open wound
A person who needs assistance
Answer:
A person with itchy eyes
Step-by-step explanation:
The doctor prescribes the drops to Felipe for his itchy throat and eyes and to keep him from sneezing.
Answer:
A person with itchy eyes
Step-by-step explanation:
I took the exam and got it right
3. What is a reasonable r-value for the scatterplot below?
O r=1
or=0.333
O r=0.972
or= -0.976
Answer: r= 0.972
Step-by-step explanation:
What is an equation of the line that passes through the points (4, 3) and (-6, 3)?
Answer:
Step-by-step explanation:
(4,3)(-6,3)
3-3/-6-4
m=0
y=3
Answer:
y=3
Step-by-step explanation:
Something that I notice about this is that the 2 y coordinates are the same
This means that the line isn't increasing nor decreasing, it's constant
if we look at the y=mx+b
we have, so far,
y=0x+b
we just need be
we know that when x=4 y=3 so we have
3=(0)(4)+b
b=3
so the answer is just y=3
Answer this question
Identify the property: 6m + 2p = 2p + 6m
A: Assocciative
B: Communitave
C: Distributive
D: Identity
Answer:,
Step-by-step explanation:,
Write the rate as a fraction in simplest form.
6 shrubs every 24 feet
Answer:
1/4
Step-by-step explanation:
6/24 simplifies to 1/4. 1 shrub every 4 feet.
What is
3 1/2 + 3/4 =
Point A is located at (-3, 4) and is translated 3 units down. What are the coordinates of point A'?
(-6, 4)
(-3, 7)
(0, 4)
(-3, 1)
Answer:
(-3,1)
Step-by-step explanation:
(-3,4-3) = (-3,1)
mel and chris share some money in the ratio of 2:5. chris gets £45 more than mel. how much did mel get?
Answer:
mel gets £18
Step-by-step explanation:
5*9=45
and what ever you do to one side you do to the other so then you do
2*9=18
so therefore mel gets £18
Across
A 35 degree angle and a 55
degree angle add together
what
angles?
Answer:
20
Step-by-step explanation:
ahaja8ququqqu8qyq8
Ally collects stickers as a hobby. She gives her sisters of her stickers.
She then gives her cousin of the remainder.
Ally says that she has 3/5 of the stickers in the end because 1-1/5-1/5=3/5
• Explain why Ally's reasoning is incorrect.
What should the correct answer be?
Explain how you arrived at your answer.
Answer:
[tex]\frac{16}{25}[/tex]
Step-by-step explanation:
Ally gives her sister = 1/5 stickers
Ally gives her cousin = 1/5 of the remainder stickers
Assume Number of sticker Ali has = 1
Remainder after giving stickers to her sister = 1 - 1/5 = 4/5
Number of stickers she gave her sister = [tex]\frac{1}{5}\times\frac{4}{5}[/tex]
=[tex]\frac{4}{25}[/tex]
Sticker she has = [tex]1-\frac{1}{5}-\frac{4}{25}[/tex]
=[tex]\frac{25-5-4}{25}[/tex]
=[tex]\frac{16}{25}[/tex]
Sticker left with Ally is equal to [tex]\frac{16}{25}[/tex].
Can someone help me, please??
Answer:
im gonna say its the last one
Step-by-step explanation:
all of the graphs and histograms ive seen have a 0 at the y
What shape is this cross-section?
A. Rectangle
B. Pyramid
O C. Trapezoid
D. Triangle
If you're referring to the actual 3D shape, that would be a rectangle. If you're referring to the shape in the middle, it would be a Trapezoid.
Answer:
A. Rectangle
Step-by-step explanation:
It is a rectangle, not any of the other shapes listed in the other answer choices.
Hope this helps! :)
When paying for a restaurant order, a customer gave a $3 tip on a $20 meal. What percent was the tip?
Answer:
.15 or 15%
Step-by-step explanation:
20 × .15 = 3
hope this helps, good luck :)
A triangle with side lengths of 15, 18, and 25 is a right triangle. True or False
un numero entero y racional
Answer:
Los números racionales son aquellos números que pueden ser expresados como una relación entre dos enteros. Por ejemplo, las fracciones 1/3 y –1111/8 ambas son números racionales. Todos los enteros están incluídos en los números racionales, ya que cualquier entero z puede ser escrito como la relación z /1.
Step-by-step explanation:
SOMEONE HELPPPPPPPP
WITH WHAT THE SCREEN MAD BLURRY
Which is the graph of the function f(x) = 1/2x^2 + 2x – 6?
What is -2(5x -12)>54
Answer:
x < - 3 i guess I'm not sure
Answer:
x=13.6
Step-by-step explanation:
-2(5x-12)>54
5x-12>54+2
5x-12>56
5x>56+12
5x>68
x>68/5
x>13.6
A survey is taken to figure out the average temperature across all cities in the United States on a particular day. In 10 randomly chosen states, 40 cities are chosen to record the temperature. Which sampling method describes this situation?
a. convenience
b. cluster
c. random
d. stratified
Answer: Random
Step-by-step explanation:
Answer:
systematic sampling
Step-by-step explanation:
Aka, C random selection
Is this theorem AA, SSS, or SAS? If so how do you know?
Find the m<1
69
71
111
86
Answer:
69
Step-by-step explanation:
m1 = 180 - (180 - 39 - 30) = 180 - 111 = 69
PLEASE HELP!!!!
Which equations could be used to solve
for x? Circle all that apply.
A. x – 58 = 129
B. x + 58 = 129
C. 180 – 129 − 59 = x
D. 129 – 58 = x
E. (180 – 129) – 51 + x = 180
Answer:
dang
Step-by-step explanation:
A. x – 58 = 129 yes
B. x + 58 = 129 no
C. 180 – 129 − 59 = x yes
D. 129 – 58 = xyes
E. (180 – 129) – 51 + x = 180no
hope this helps
Answer:
E
Step-by-step explanation:
Help please i am stuck
Answer:
it is because so you can evenly add it
Step-by-step explanation:
because it is easyer to add 5/10 + 2/10
than 5/10 + 1/5 isnt it?
Plz help me!
-12 - 58 - (-34) =
-36 would be the answer
hope that helped :)
Answer:
-36
Step-by-step explanation:
-12-58-(-34) or -12-58+34
-70+34 or 34-70
subtract 70 from 34
-36
Hope this helps. Have a nice day you amazing bean child.
HELP ASAP PLEASE!
An airplane cuts through the morning sky. For every 1,000 feet that it climbs, the outside temperature drops 20 degrees Fahrenheit. What is the rate of temperature change in degrees Fahrenheit per foot? Complete the steps below to answer the question.
part A: Write the change in elevation and the change in temperature as rational numbers.
part B: Write a numerical expression to represent the rate of temperature change in degrees Fahrenheit per foot.
part C: What is the rate of temperature change in degrees Fahrenheit per foot?
part D: Now, consider the reverse situation: as the airplane descends, or drops, 1,000 feet in the air, the temperature rises 20 degrees Fahrenheit. Write a numerical expression representing the rate of temperature change in degrees Fahrenheit per foot.
part E: What is the rate of temperature change in degrees Fahrenheit per foot?
part F: How is the rate you found in part E related to the rate you found in part C? What does this mean?
Please answer each question separately! :(
Step-by-step explanation:
The air plane is rising so the change in elevation is +1000 feet. The temp dropped and is -20 degrees fahrenheit.
1 degree per 50 ft
For every 1,000 feet that it climbs, the outside temperature drops 20 ... What is the rate of temperature change in degrees Fahrenheit per foot.
Hope I helped
Answer:
Step-by-step explanation:
part A=The airplane is rising, so the change in elevation is +1,000 feet. The temperature is dropping, so the change in temperature is -20 degrees Fahrenheit.
Part B= -20 degrees fehrenheit/1,000 feet
Part C= -20 degrees fehrenheit/1,000 feet= -1 degrees fehrenheit/50 feet
The answer can also be written as -1 degrees fehrenheit/50 per foot.
Part D = The airplane is descending, so the change in elevation is -1,000 feet. The temperature is rising, so the change in temperature is +20 degrees Fahrenheit.
The rate of temperature change in degrees Fahrenheit per foot is 20/-1000
Part E= The answer can also be written as-1/-50
Part F= The rate in part E is equal to the rate in part C. It means that -1/50=1/-50=-1/-50
please please mark as brainliest.!!!
60 ft/s= how many km/h
Show work please
Answer:
65.837 kilometers per hour
Step-by-step explanation:
hope this help:))
multiply the speed by 1.097
Which numbers are integers?Check all that apply.
.
A) 15
B) -9
C) 6
D) 9
E) 0
F) ООО
G) -3,128
H) 4.76
Answer:
a to e
Step-by-step explanation: