Answer: The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042
This outcome would warrant a replacement cup.
Step-by-step explanation:
Let x be a random variable that represents the temperature of hot chocolates.
GIven: Mean temperature = 175 degrees
standard deviation = 8.1 degrees
The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =[tex]P(x<161)[/tex]
[tex]=P(\dfrac{x-\mu}{\sigma}<\dfrac{161-175}{8.1})\\\\=P(Z<-1.7284) [Z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(Z<1.7284)\\\\=1-0.9580\\\\=0.042[/tex]
Hence, the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042 < 0.5 (unusual)
i.e. this outcome would warrant a replacement cup.
n=7, x=4, p=0.45, find p4
Answer:
1.8
Step-by-step explanation:
All you need to do is use substitution....
p4
They gave us the value of p and it is 0.45, now we need to substitute it, into the expression to find the value
p4 = (0.45)4
0.45 * 4 = 1.8
so p4 = 1.8
Hope this helped!
Have a supercalifragilisticexpialidocious day!
When the radius of a sphene is doubled what is the resulting change in volume?
Answer:
3rd power
Step-by-step explanation:
When the radius of the sphere was doubled it doubled 8 times . it raised so much because of the third power.
Glad I could help (Maybe)
Simplify 7-(3x+5y)+6(2x-3y)+8y
Answer:
Step-by-step explanation:
First get rid of the parentheses. Distribute the - sign and the +6 to each one.
[tex]7-3x-5y+12x-18y+8y\\7+9x-5y-18y+8y\\7+9x-15y[/tex]
What is the coefficient of the term 12p+9q
Answer:
The answer is 12.
Step-by-step explanation:
12 is the coefficient because it is the number multiplied by the variable p in the equation.
I hope this helps u! :D
Help plz I don’t know the answer!!
Answer:201 11/21
Step-by-step explanation:
The number 4232 is called the numerator or dividend, and the number 21 is called the denominator or divisor.
The quotient of 4232 and 21, the ratio of 4232 and 21, as well as the fraction of 4232 and 21 all mean (almost) the same:
4232 divided by 21, often written as 4232/21.
Read on to find the result of 4232 divided by 21 in decimal notation, along with its properties.We provide you with the result of the division 4232 by 21 straightaway:
4232 divided by 21 = 201.523809
The result of 4232/21 is a non-terminating, repeating decimal. The repeating pattern above, 523809, is called repetend, and denoted overlined with a vinculum.
This notation in parentheses is also common: 4232/21 = 201.(523809): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 4232 / 21 = 201.523809… .
4232 divided by 21 in decimal = 201.523809
4232 divided by 21 in fraction = 4232/21
4232 divided by 21 in percentage = 20152.38095238%
Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 4232 and 21, of course. Repetends, if any, are denoted in ().
The conversion is done automatically once the nominator, e.g. 4232, and the denominator, e.g. 21, have been inserted. No need to press the button, unless you want to start over.
Four friends are sharing 6 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?
write what mixed number you got
Answer:
1 1/2 cups
Step-by-step explanation:
I need help with this
look at picture
Complementary angles
Step-by-step explanation:
80° - x + 80° = 90° { being complementary angles }
160° - x = 90°
x = 180° - 90°
x = 70°
Please help, its due soon
Old Faithful is a geyser in Yellowstone National Park that erupts according to an arithmetic sequence. The eruptions generally happen in 46 minute intervals with a constant difference of 12 minutes. Suppose that you are in the park and you know the last eruption was at 12:22 p.m. That eruption was the 4th eruption of the day. About when can you expect the geyser to erupt again? Explain.
Answer:
1:10 AM
Step-by-step explanation:
The 4th eruption of the day as at 12:22 PM. And since the time between each eruption gets 12 minutes added, the next eruption is going to happen in 48 minutes, which is at 1:10 AM. After that eruption, the time will reset and the next eruption will happen at 1:22 AM
What is the value of the digit 9 in 71.92
Answer:
.90
Step-by-step explanation:
?
Show the prime factors for 36.
A) 4x9
B) None of these answers are correct.
C)1 x 36
D)2 x 2 x 3 X3
E)3 x 12
Answer:
D. 2x2x3x3
Step-by-step explanation:
2x2 is equal to 4
4x3 is equal to 12
12x3 is equal to 36
Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. Steve also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by f(x) = −x + 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents. (10 points)
Answer:
(1, 5)Step-by-step explanation:
Both of the graphs include infinite number of points.
The solution is the common point that belongs to both of the graphs, the intersection point.
We can see it is the point (1, 5)
This is the point when the temperature change is positive 1 degree. At this point number of visitors is equal to number of those leaving the part early.
Part B
Based on your calculations in part a, did Kelvin ski twice as long without falling as anyone else in the family?
Answer:
Yes, Kevin skied twice as long as Lori without falling.
Step-by-step explanation:
Kevin's time was 223 sec and Lori's was 110 sec.
110 x 110 = 220
Since Lori's time was 110 seconds and twice that is less than Kevin's, which was 223.
Thus we have our answer:
Yes, Kevin skied twice as long as Lori did without falling.
Hope it helps!!
316.1 -
is about 300. Which decimal, rounded to the nearest whole number, makes the equation true?
O
A. 31.6
B. 15.7
C. 6.1
D.3.16
Answer:
c
Step-by-step explanation:
anyone know which company charges the greatest rate per window?
Company B costs most per window
Step by step:
company a = 25x + 50
company b = 40x + 15
company c = 35x + 25
A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through a door is a failure, then the person will not make any further attempts. Let P denote a successful pass and F denote a failed pass. What is the sample space for this random experiment
Answer:
Sample space is [tex]\{F,PF,PPF,PPP\}[/tex]
Step-by-step explanation:
Number of security doors = 3
Let P denote a successful pass and F denote a failed pass.
Sample space refers to a set of all possible outcomes.
If the first attempt to pass through a door is a failure, then the outcome is F.
If the second attempt to pass through a door is a failure, then the outcome is PF.
If the third attempt to pass through a door is a failure, then the outcome is PPF.
If the fourth attempt to pass through a door is a failure, then the outcome is PPP.
Sample space is [tex]\{F,PF,PPF,PPP\}[/tex]
PLS HELP
What is the length, in feet, of AD in the isosceles trapezoid ABCD?
15 ft
c
1410
5 ft
A
D
F
Note: Figure is not drawn to scale.
O 3 feet
O 10 feet
O 141 feet
O 21 feet
Answer:
21 feet
Explanation:
Using pythagorean theorem to find the length of the added length of the bottom.
A^2+B^2=C^2 or 4^2+B^2=5^2 or 16+B^2=25
25-16=9 so B^2 is 9 and the square root of that is 3 so B is 3. Then you add 15+3+3 to get 21.
1 3/4 + 1/6 + x = 7 1/2
In a first-aid kit the ratio of large bandages to
small bandages is 5 to 3. Based on this ratio,
how many large bandages are in the kit if there
are a total of 80 bandages?
A. 50
B. 48
C. 16
D. 40
Last season Sarah was up to bat 48 times,and got 16 hits.what is the simplified ratio of Sara's hits to Sara's hits to Sara's at-bats
Answer:
48:16 ---> 3:1
Step-by-step explanation:
48 and 16 can both be divided by 4 which makes it 12:4 but that can still be reduced which would make it 3:1
Ples help me
IF its wrong i will report u
ill give you the best if it right and who ever is first.
Answer:
A, B, and D are equal to 75%
Step-by-step explanation:
Hope it helps!
Answer:
B., A. and D.
Because they all equal 75%!
Math nerds help me out
Answer:
the 3rd one
y= (x-1)(x-6)
Step-by-step explanation:
Answer:
y=(x-1)(x-6)
Step-by-step explanation:
from the factorised form (x-1)(x-6) we can easily derive the roots of 1 and 6
it crosses the x axes on the roots, which happens at 1 and 6 on the graph
Hi, could someone solve this parametric system?
7х+4y – 5z = 2
3х +5y +kz = 4
X+ky +7z = k
9514 1404 393
Answer:
(x, y, z) = ((7 -2k)/(-31 +7k), (-29 +7k)/(-31 +7k), 1/(31 -7k))
Step-by-step explanation:
The system can be solved by any of your favorite methods. Treat k as you would any number.
My row reduction software says the solution is ...
(x, y, z) = ((7 -2k)/(-31 +7k), (-29 +7k)/(-31 +7k), 1/(31 -7k))
__
Clearly, k ≠ 31/7.
The augmented coefficient matrix is attached.
Write an expression that is equivalent to 27e+24
ANSWER FOR 40 POINTS
Step-by-step explanation:
3(9e+8) is the correct answer of this qn
select all the sides lengths that will form a triangle?
A. 14 IN, 5 IN, 9 IN
B. 11 CM, 13, CM, 12 CM
C. 25 MM, 12 MM, 12 MM
D. 10 FT, 24FT, 26 FT
E. 5 YD, 5, YD, 5, YD
F. 18 CM, 46, CM, 26 CM
Thank you! :)
B
Step-by-step explanation:
11CM, 13CM, 12CM forms a triangle
I need help ASAP!!!!!
Answer:
3
Step-by-step explanation:
The square root of 9 is 3
If a number is decreased by 19 the result is -15 What is the number?
Answer:4
Step-by-step explanation:
A Furniture maker used 9/10 of a can of paint to paint 9 chairs. she used the same amount of paint for each chair. How many cans of paint did she use for each chair in
Answer:
The person used 1/10 (one tenth) of the can to paint one chair.
Step-by-step explanation:
If she used 9/10 of the can to paint 9 chairs using same amount with each, then for each chair she used:
9/10 divided by 9 = 9/10 * 1/9 = 1/10 of the can.
Sal wrote the statement below to represent the inequality 8 n minus 5 less-than 25. Which words should Sal use to complete the verbal statement?
The product of 8 and n decreased by 5 is _________________ 25.
less than
greater than
less than or equal to
greater than or equal to
Answer:
greater than or equal to
Answer:
the above answer is correct, it is greater than or equal to
Step-by-step explanation:
An office spends $375.00 per month on office supplies.
The manager wants the company to decrease office
supply costs by 16%. How much money would that save
each month?
Answer:
$51 saved.
Step-by-step explanation:
Well 12% of $425 is found by multiplying
(.12)(425) = $51 saved.
y=3x/5-6 in standard form
Answer:
The standard form is 3x-5y-30=0