Answer:
[tex]Mean = 2392.5[/tex]
[tex]SD = 44.70[/tex]
Step-by-step explanation:
Given
[tex]Students = 14500[/tex]
[tex]p = 16.5\%[/tex]
Solving (a): The mean
Mean is calculated as thus:
[tex]Mean = np[/tex]
[tex]Mean = 16.5\% * 14500[/tex]
Convert % to decimal
[tex]Mean = 0.165 * 14500[/tex]
[tex]Mean = 2392.5[/tex]
Solving (b): The Standard Deviation
Standard deviation (SD) is calculated as thus:
[tex]SD = \sqrt{np(1-p)}[/tex]
[tex]SD = \sqrt{14500 * 16.5\%(1-16.5\%)}[/tex]
Convert % to decimal
[tex]SD = \sqrt{14500 * 0.165 * (1-0.165)}[/tex]
[tex]SD = \sqrt{14500 * 0.165 * 0.835}[/tex]
[tex]SD = \sqrt{1997.7375}[/tex]
[tex]SD = 44.6960568731[/tex]
[tex]SD = 44.70[/tex]
n
When plotting points on the coordinate plane below, which point would lie on the x-axis?
Answer:
wish to be in this level. But not so. hmmm
Answer:
(6,0)
Step-by-step explanation:
Got it right on Edge 2020:)
Mr. Wong was born in 1934. In what year was Mr. Wong 48 years old? Use mental math to solve.
Answer:
1982
Step-by-step explanation:
1934 + 42= 1982
Meg loves to read. Her favorite author is Dr. Seuss. For every 11 books Meg owns 8 are Dr. Seuss books. If Meg has 40 Dr. Seuss books, how many total books does she have?
Answer:
Step-by-step explanation:
if the ratio is 8:11 then 40:x
Cross multiply
8 40
11 x
8x=440
And divide by 8
x=55. She has 55 books
When Angela turned 10, her parents deposited $5,000 in a college fund for her. When Angela enrolled in college at 18, her account had $6,800 to help pay her expenses. If the account paid simple interest, what was the annual interest rate?
Answer:
4.5%
Step-by-step explanation:
Answer:
4.5%
Step-by-step explanation:
Multiply.
(−0.64)(−2.5)
Enter your answer as a decimal in the box.
Answer:
1.6
Step-by-step explanation:
Hope this helps! :-)
Trucks in a delivery fleet travel a mean of 120 miles per day with a standard deviation of 24 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives between 108 and 153 miles in a day. Round your answer to four decimal places.
Answer:
0.6069
Step-by-step explanation:
Trucks in a delivery fleet travel a mean of 120 miles per day with a standard deviation of 24 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives between 108 and 153 miles in a day. Round your answer to four decimal places.
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
For x = 108 miles
z = ( 108 - 120)/24
z = -0.5
Probability value from Z-Table:
P(x = 108) = 0.30854
For x = 153 miles
z = (153 - 120) /24
= 1.375
Probability value from Z-Table:
P(x = 153) = 0.91543
The probability that a truck drives between 108 and 153 miles in a day is
P(x = 153) - P( x = 108)
0.91543 - 0.30854
= 0.60689
Approximately = 0.6069
What is equivalent Kelvin temperature of 523 degrees Celcius?
Answer:
795.15K
Step-by-step explanation:
523+273.15=796.15K
what is the y intercept of y= -1/2x +3
Hurryplz!
Answer:
Y-intercept is 3
Step-by-step explanation:
Remember y=mx+b
b is the y-intercept
mx is the slope
Help, will give brainliest if correct!!!
A cheetah runs at an average speed of 50 mph between two jungles that are 150 miles apart. An antelope runs at an average speed of 30 mph, a lion runs at an average speed of 25 mph, and an elephant runs at an average speed of 15 mph.
How long does it take each animal to run to the second jungle?
Answer:
cheetah, 3 hours antelope, 5 lion, 6 elephant, 10
Step-by-step explanation:
The time taken by each animal to reach another jungle are:
Cheetah = 3 hours
Antelope = 5 hours
Lion = 6 hours
Elephant = 10 hours
What is speed?Speed is a scalar quantity that refers to how fast an object is moving.
Given are the speeds of different animals,
Cheetah = 50 mph
Antelope = 30 mph
Lion = 25 mph
Elephant = 15 mph
Speed = distance/time.
Time = distance/speed
Distance = 150 miles
Time taken by each :
Cheetah = 150/50 = 3 hours
Antelope = 150/30 = 5 hours
Lion = 150/25 = 6 hours
Elephant = 150/15 = 10 hours
Hence, The time taken by each animal to reach another jungle are:
Cheetah = 3 hours
Antelope = 5 hours
Lion = 6 hours
Elephant = 10 hours
For more references on speed, click;
https://brainly.com/question/28224010
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If nis the larger of two consecutive numbers, write an expression for the other number.
Answer:
n-1
Step-by-step explanation:
Consecutive means that they have a difference of one, so the expression will be n-1.
Answer:
n-1
Step-by-step explanation:
I hope you like the answer!
4+(−123). Write your answer as a fraction in simplest form.
Answer:
-119
Step-by-step explanation:
Answer:
i'm guessing u meant 1 2/3?
2.33333333333
Step-by-step explanation:
Jan used 10
yards of fabric to make 5 dresses. On average, how
much fabric did she use for each dress?
Answer:
2 yards
Step-by-step explanation:
10 divided by 5 is 2
Divide.
−1/9÷3/4
Brain Fart
Answer:
-0.14814814814
Step-by-step explanation:
Answer:
-4/27
Step-by-step explanation:
keep -1/9 the same
flip the divide symbol into multiply
flip 3/4 into 4/3
Multiply to solve
-1/9 x 4/3= -4/27
Hope this helps!!
:)
Atile installer charges $15 per soruare foot to install floor tile What is the cost to install tile in a room of the size shown?
Answer:
$330
Step-by-step explanation:
You time 15 by each squat ft
Which division problem would have an estimated quotient of 15 if the divisor and dividend were rounded to the nearest whole number?
90.24 divided by 6.3
79.85 divided by 3.99
85.01 divided by 16.77
59.87 divided by 10.21
Answer:
A. 90.24 divided by 6.3
Step-by-step explanation:
We take each option one by one and solve for it
A. 90.24 divided by 6.3
Divisor = 90.24
Dividend = 6.3
if the divisor and dividend were rounded to the nearest whole number?
= 90÷ 6
= 15
Answer:
A, I got it right on edge.
Step-by-step explanation:
Help with trigonometry homework
By definition of tangent,
tan(A - π/4) = sin(A - π/4) / cos(A - π/4)
Expand the numerator and denominator using the angle sum identities for sin and cos:
tan(A - π/4) = (sin(A) cos(π/4) - cos(A) sin(π/4)) / (cos(A) cos(π/4) + sin(A) sin(π/4))
Divide through everything on the right by cos(A) cos(π/4):
tan(A - π/4) = (sin(A) / cos(A) - sin(π/4) / cos(π/4)) / (1 + (sin(A) sin(π/4)) / (cos(A) cos(π/4)))
Simplify the sin/cos terms to tan:
tan(A - π/4) = (tan(A) - tan(π/4)) / (1 + tan(A) tan(π/4))
tan(π/4) = 1, so we're left with
tan(A - π/4) = (tan(A) - 1) / (1 + tan(A))
Replace tan(A) with -√15:
tan(A - π/4) = (-√15 - 1) / (1 - √15)
Then the last option is the correct one.
What is the completely factored form of x2 - 64/?
Answer:
(x-8)(x+8)
Step-by-step explanation:
Answer:
(x + 8)(x − 8)
Step-by-step explanation:
3^x×3^y=1
2^(2x-y)-64=0
Answer:
Step-by-step explanation:
HERE
:)
-5+5=0 is which property
Answer:
i agree about the -5+5=0 is which property
Step-by-step explanation:
Answer:
It is the inverse property of addition.
Step-by-step explanation:
George, a musician, works 35 hours in a week. If he earns $18.15 per hour, how much does he earn each week?
Answer:
$635.25
Step-by-step explanation:
He works 35 hours a week, multiply that by $18.15 and you get $635.25.
Due within next 5 minutes! Please help!
Mrs. B budgeted $175 per month for gasoline, $100 per month for
maintenance, and $150 per month for insurance. What is her weekly,
monthly, and yearly budget for owning her car?
Answer:
Weekly: $106.25
Monthly: $425
Yearly: $5,100
Step-by-step explanation:
Answer:
Step-by-step explanation:
WEEKS:
$175 divided by 4= 43.75
100 divided by 4= $25
150 divided by 4: $37.5
TOTAL: 106.25
YEARLY:
$175 times 12: $2,100
$100 times 12: $1,200
$150 times 12: $1,800
TOTAL: 5,100
MONTHLY: $425
2) What is the distance between -5 and -3?
Answer:
2
Step-by-step explanation:
-5 - (-3)
-5 plus 3
|-2|
2
If $5000 is put into a savings account that pays
3.5% interest compounded monthly, how much
money, to the nearest ten cents, would be in that
account after 6 years, assuming no money was
added or withdrawn?
Answer:
17600
Step-by-step explanation:
calculator
Based on the amount of money being saved and the amount of time it will be saved, the amount in the account after 6 years would be $6,166.51
The interest is compounded monthly which means that you need to convert the interest to a monthly figure as well as the number of years you will be investing:
3.5% / 12 months = 3.5/12%
6 years x 12 = 72 months
The amount after 6 years is:
= Amount x (1 + rate) ^ number of periods
= 5,000 x (1 + 3.5/12%)⁷²
= $6,166.51
In conclusion, the amount in the account after 6 years is $6,166.51.
Find out more at https://brainly.com/question/20883478.
How are rates ratios and proportions used in careers in the medical field
Answer:
Ratios and Proportions
Nurses do not prescribe medicine, but they administer medication to their patients. When doing so, they use ratios and proportions to help them. ... The ratios and proportions also allow the nurse to know how long the medication will stay in the body of the patient before needing another dosage.
Step-by-step explanation:
Answer:
they are used for comparing data
Step-by-step explanation:
even im the medical feild, mathematics is an impeccable way to explain phenomenons... by using mathematical formulas ratios and fraction, data can be communicated easier and help it to be easier to understand
There are 30 treasures hidden in a castle in a video game. Latoya found 80% of them. How many of the treasures did Latoya find?
Answer:
It is 24
Step-by-step explanation:
trust me
Answer: She found 24 of the treasures, hope this answers your question:)
i will give lots of points and brainly please help asap What is the equation of the quadratic of the quadratic graph with a focus of (1,3) and a directex of y= 1 show your work please
check the picture below.
now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.
the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.
the distance "p", from the vertex to either the directrix or focus, is really just 1 unit. Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.
What is the product?
(X^4)(3x^3-2)(4x^2 +5x)?
Answer:
a
Step-by-step explanation:
edge 2021
Determine the slope and y-intercept of each graph. Then, write the equation of the graph in slope-intercept form.
Answer:
-3/2=slope
y-int = (0,1)
Equation= Y=-3/2x+1
Step-by-step explanation:
A. 8
B. 32
C. 16
D. 4
NEED HELP ASAP WILL MARK AS BRAINLIEST IF THE ANSWER IS CORRECT!
Gareth believes that if he flips a coin 820 times, it will land heads up exactly 410 times. What would you tell Gareth about his prediction?
Answer:
YEs
Step-by-step explanation:
He is correct. as long as his coin has 2 sides
I answered so the other guy could get brainlest