Answer:
The probability that the mean test score is greater than 290
P(X⁻ > 290 ) = 0.0217
Step-by-step explanation:
Step(i):-
Mean of the Population (μ) = 281
Standard deviation of the Population = 34.4
Let 'X' be a random variable in Normal distribution
Given X = 290
[tex]Z = \frac{x -mean}{\frac{S.D}{\sqrt{n} } } = \frac{290-281}{4.44} = 2.027[/tex]
Step(ii):-
The probability that the mean test score is greater than 290
P(X⁻ > 290 ) = P( Z > 2.027)
= 0.5 - A ( 2.027)
= 0.5 - 0.4783
= 0.0217
The probability that the mean test score is greater than 290
P(X⁻ > 290 ) = 0.0217
It takes a groundskeeper 35 minutes to prepare a Little League baseball field for a game. It takes his assistant 45 minutes to prepare the same field. How long will it take if they work together to prepare the field?
a) It takes a groundskeeper 45 minutes to prepare a softball field for a game. It takes his assistant 50 minutes to prepare the same field. How long will it take if they work together to prepare the field?
G does 1/45 job per minute
A does 1/50 job per minute
Together, they do 1/45 + 1/50 = 19/450 jobs/minute
--> 450/19 minutes to do the job
You can use a shortcut, product/sum
50*45/(50+45) = 2250/95
= 450/19
--------------------------------
b) It takes the owner/operator of a dog kennel 7 hours to clean all of the cages. It takes his assistant 4 hour(s) more than that to clean the same cages. How long will it take if they work together?
This is 7 and 11 hours.
7*11/(7+11) = 77/18 hours
= ~ 4.28 hours
Let R be the region bounded by a triangle whose vertices are (0,0), (0,2) and (2,2). Find the volume generated when R is revolved about the X-axis.
a. Using the Washer Method
b. Using the Shell Method
Answer:
a
Step-by-step explanation:
i think
write -90 in simplest radical form
please help or i’ll failll
Simplify
−
4
x
+
2
y
+
z
−
3
x
+
2
y
−
2
z
Answer: -7x+4y-z would be the answer
Step-by-step explanation:
Please help meeeeeeee
Answer:its not loaxibf
Step-by-step explanation:
Which fraction is less 11 out of 12 or 5 out of 12
Answer: 5 out of 12
Step-by-step explanation: GOODLUCK!
What is a number that when you multiply it by 8 and subtract 12 from the product, you get 76?
Equation:
Solution:
Answer:
11
Step-by-step explanation:
Equation: 8x - 12 = 76
Add 12 to both sides
8x = 88
Divide both sides by 8
x = 11
Hope this helped :)
A water tank leaked 14 gallons of water over eight hours at a constant rate what was the change in the amount of water in gallons in a tank each hour
Answer: the answer would be 1.75 gallons/hour
Step-by-step explanation: if you take the 14 gallons divided by the eight hours, you get 1.75
Answer:
7/4 gallons per hour
Step-by-step explanation:
We have to divide the amount of water lost by the lapse of time. So we get
14/8= 7/4
DONT ANSWER WAIT 5 MINUTES LM AO
oooooooooooooooopppppppppppppppppppppppppssssssssssss
Answer:
thankssssssssss cuhhhhhhh
Step-by-step explanation:
lm ao like if they are gonna wait lol
Find an autonomous differential equation with all of the following properties:
equilibrium solutions at y=0 and y=3,
y' > 0 for 0
y' < 0 for -inf < y < 0 and 3 < y < inf
dy/dx =
Answer:
dy/dt = y ( 3 - y )
Step-by-step explanation:
Given data:
Determine an autonomous differential equation with the following properties
y = 0 and Y = 3
y' > 0 for 0 < y < 3
y' < 0 for -∞ < y < 0 and 3 < y < ∞
considering an autonomous differential equation
dy/dt = y ( 3 - y )
y = 0 and 3 represents equilibrium solutions
if 0 < y < 3 then y ( 3 - y ) > 0 for 0 < y < 3
hence : dy / dt = y' > 0 for 0 < y < 3
y ( 3 - y ) < 0 for -∞ < y < 0 and 3 < y < ∞
hence : dy / dt = y' < 0 for -∞ < y < 0 and 3 < y < ∞
this shows that the autonomous differential equation satisfies every condition hence the autonomous differential equation is :
dy/dt = y ( 3 - y )
At a dinner party, two desserts are being served. Six of the guests choose cheesecake, and eight of the guests choose apple pie. Write two associated part-to-whole ratios for this situation, in simplest form. Then, interpret these ratios within the situation.
Answer:
6 to 2 2 to 6
Step-by-step explanation:
The ratios for the given situation are 3/7 and 4/7.
Given that, at a dinner party, two desserts are being served.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Six of the guests choose cheesecake, and eight of the guests choose apple pie.
So, the total number of guests = 6+8
= 14
Now, the ratio who chose cheesecake = 6/14
= 3/7
The ratio who chose apple pie = 8/14
= 4/7
Therefore, the ratios for the given situation are 3/7 and 4/7.
To learn more about the ratio visit:
brainly.com/question/13419413.
#SPJ2
Find the missing angle. solve for ?
PLZ HELP =<
Answer:
70 degrees
Step-by-step explanation:
180-120=60
180-(60+50)=70
Brittany is selling car magnets she purchases them for 7.50 each and marks up the price by 30% how much planning to charge
Answer:
0.25
Step-by-step explanation:
i hope this helps! :]
A car travels 1295 feet in 5 seconds. How far can the car travel in 50 seconds?
Answer:
12950
Step-by-step explanation:
what is 3(x – 6) = -12x - 9
Answer:
x = 3/5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(x−6)=−12x−9
(3)(x)+(3)(−6)=−12x+−9(Distribute)
3x+−18=−12x+−9
3x−18=−12x−9
Step 2: Add 12x to both sides.
3x−18+12x=−12x−9+12x
15x−18=−9
Step 3: Add 18 to both sides.
15x−18+18=−9+18
15x=9
Step 4: Divide both sides by 15
15x/15 = 9/15
so x = 3/5
plz mark brainly
How high would the rent have to be to qualify as an outlier
Answer:
1500+
Step-by-step explanation:
If it takes 4 years for an animal population to double, how many years will it take until the population triples?
Answer:
6 years
Step-by-step explanation:
i used a proportional approach
2 (the double)/ 4 years (the time it takes to double)
then compared it to
3(the triple)/ x amount of years
(like this)
[tex]\frac{2}{4} \ \frac{3}{x}[/tex]
then cross multipled
4 times 3= 12
then divided the 12 by the remaining 2 above the 4
Twice the sum of a number and 6 is
more than 84.
Answer:
Step-by-step explanation:
yth ok
What is the Greatest Common Factor of 12 and 28
O2
3
06
4
Answer:
The GCF of 12 and 28 is 4.
Step-by-step explanation:
hope this helps
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 28 are: 1, 2, 4, 7, 14, 28
Answer:
The GCF is 4.
Step-by-step explanation:
is -3/4 rational or irrational?
is the square root of 2 rational or irrational?
is 2π rational or irrational?
is 3.75 rational or irrational?
is 2 1/8 rational or irrational?
Amelie works on her homework for 14 hour before her soccer practice and 23 hour after her soccer practice.
How much time did Amelie spend on her homework altogether?
16 hour
37 hour
34 hour
1112 hour
Jessica walks 13 mile to the post office and then 25 mile to the library.
How far did Jessica walk altogether?
215 mile
38 mile
1115 mile
34 mile
Answer:
37 hours
38 miles
Step-by-step explanation:
14+23=37
25+13=38
Answer:
37 hours and 38 miles
Step-by-step explanation:
14+23=37
13+25=38
plzzzz help me!!!
Find the total cost to the nearest cent.
$49.95 pair of shoes; 5% tax
Answer:
49.95+2.4975(the 5% tax)
Step-by-step explanation:
=52.4475 dollars
Answer:
$52.4475
Step-by-step explanation:
5/100×49.95=249.75
249.75÷100=2.4975
2.4975+49.95=52.4475
You have 60 ft of fence to make a rectangular vegetable garden alongside the wall of your house. The wall of the house bounds one side of the vegetable garden. What is the largest possible area of the vegetable garden?
Answer:
400 ft²
Step-by-step explanation:
The maximum area of a rectangle results from it being a square. The rectangle (or square) must have 4 equal sides in order to maximize area. But in this case, one side is a wall. That means that the remaining three sides will be = 60 / 3 = 20 feet long. You formed an square that is 20 ft x 20 ft = 400 ft²
Find n from following equation
Answer:
n = [tex]\frac{ln(0.69)}{ln(1.04)-ln(0.025}[/tex] OR n =0.09953...
Explanation:
I don’t know if my answers are an option for you, but the following pictures show the explanation of it.
Hope this helps and answers you question :)
(GIVING AWAY BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME :> BTW THE SUBJECT MATH IS INNCORECT BUT I CHOSE IT BC THEY DIDNT HAVE SCIENCE AS AN OPTION LOL)
Veronica observes how the force of friction causes an object to slow down. She writes the following observation: When an object moves across a smooth surface, there is less friction created than when an object moves across a rough surface. When the object stops moving, friction is created. Which statement corrects the error(s) in Veronica's observations?
A) It is not smooth or rough surfaces that affects friction. It is the size of the push.
B) When an object moves across a rough surface, there is no friction.
C) When an object moves across a smooth surface, the friction increases.
D) When an object stops moving, there is no friction.
(Here is an image if needed) :
Answer:
C
Step-by-step explanation:
Answer:
A
number is correct answer
is 8+y=4x a linear equations
Answer:
Yes
Step-by-step explanation:
8 + y = 4x is a linear equation in two variables ( x and y) .
Factor the expression 4x + 32. Explain each step you
take in the process.
I
Answer:
4(x+8)
Step-by-step explanation:
find the GCF (which is 4 in this case)
divide by 4 but don't forget to keep it.
4x/4=x
32/4=8
4(x+8)
And thats it!
50 POINTS GIVEAWAY!!!!!
I am finally rank ambitious so I am making 50 points giveaway!
To win them you just need to solve this:
[tex] 9 - 3\div \frac{1}{3} + 1 [/tex]
If your answer is right you will get a brainliest!
GOOD LUCK!!!
Answer:
1
Step-by-step explanation:
9 - 3/(1/3) + 1 = 1
Thank you so for hosting this giveaway! The answer is 1 :3
You can buy 5 bananas for $4.25. What is the unit price per banana?
Answer: 85 cents
Step-by-step explanation:
Answer:
$0.85 per banana
Step-by-step explanation:
if you can get 5 bananas for $4.25 then you need to figure out how much you need to pay for 1. To do that you go 4.25 divided by 5 which is .85. so thats your answer, you can cha]eck it by going .85 times 5 which will get you 4.25
8)
Solve: 5x - 7x + 6 = -2(x - 3).
0)
A)
0
B)
2
infinitely many solutions
Answer:
the answer is 0 because both equations on either side cancel out thereby leaving in bare