Answer:
0.4332 = 43.32% probability of a rating that is between 200 and 275.
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A bank's loan officer rates applicants for credit. the ratings are normally distributed with a mean of 200 and a standard deviation of 50
This means that [tex]\mu = 200, \sigma = 50[/tex].
Find the probability of a rating that is between 200 and 275.
This is the pvalue of Z when X = 275 subtracted by the pvalue of Z when X = 200. So
X = 275
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{275 - 200}{50}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a pvalue of 0.9332
X = 200
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{200 - 200}{50}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
0.9332 - 0.5 = 0.4332
0.4332 = 43.32% probability of a rating that is between 200 and 275.
A bag contains 3 red cubes, 4 yellow cubes, and 3 green cubes. You choose a cube without looking, note its color, and put the cube back in the bag. Suppose you do this a total of 80 times. About how many times would you expect to choose a red or yellow cube?
Answer:
is it multiple choice that would help
Step-by-step explanation:
Answer:
56 timesStep-by-step explanation:
Total cubes:
3 + 4 + 3 = 10Number of yellow or red:
3 + 4 = 7Probability of yellow or red:
7/10Same probability 80 times:
80*7/10 = 56Expected number is 56
Mark monitors the growth of a colony of bacteria in his biology lab. He begins with a colony of 100 bacteria. After 24 hours, the colony has grown to 305
bacteria. After 24 more hours, the colony consists of 897 bacteria. What is a reasonable estimate of how many bacteria he can expect to count in the colony
when he returns 24 hours later?
Answer:
After next 24 hours, bacterial population would be [tex]1433[/tex]
Step-by-step explanation:
The initial bacterial count at time = 0 was [tex]100[/tex]
At [tex]= 24[/tex] hours, the bacterial count increased up to [tex]305[/tex]
At [tex]= 48[/tex] hours, the bacterial count increased up to [tex]897[/tex]
As we know that
[tex]P = P_0 * e^{rt}[/tex]
The growth rate of bacterial population is equal to
[tex]r = \frac{log\frac{P}{P_0} }{t}[/tex]
Substituting the above values we get -
[tex]r = \frac{log\frac{897}{305} }{24}\\r = 0. 0195[/tex]
Count of bacteria after next 24 hours
[tex]P = 897 * e^{ 0.0195 * 24)\\P = 1433[/tex]
If you have two horse pastures, one is. 25 feet by 45 feet and the other is 40 feet by 60 feet, what is the perimeter of the two horse pastures together? Only the perimeter;)
What is three and 61×4 and five
Answer: 252
Step-by-step explanation:
Find Sin(r)
Answers to pick from
1.7/25
2.25/24
3.7/24
4.24/25
Dewayne read 3/8 of a chapter of his history book in 1/5 of an hour. At this rate how many chapters of his history book can he read in 1 hour
Answer:
6/8 of a chapter
Step-by-step explanation:
3/8 = 1/2 of an hour
1/2 + 1/2 = 1
Basic Fact ^^
So, we need to add 3/8 + 3/8 or 3/8 x 2
We get : 6/8
He didn't read a whole chapter but he did read 6/8 of a chapter.
Answer:
Step-by-step explanation:
There are 60 min in an hour - 1/5 of an hour=20mim
3/8 x 5 = 15/8 = 1 & 7/8 chapters
Solve the equation 52 - 3.5y - 4y = 4y + 6.
Answer:
5.04
Step-by-step explanation:
=> 52 -3.5y -4y = 4y -6
Take everything with y to left and numbers to right
=> -3.5y -4y -4y = -52 -6
=> -11.5y = -58
=> 11.5 y = 58
=> y = 58/11,5= 5.04
75% of 48 show all the work
Answer:
36
Step-by-step explanation:
75%=0.75
0.75*48=3/4*48=144/4=36
Answer:
75% of 48 is 36.
Step-by-step explanation:
So, what I did here was to first find out what 25% of 48 is, because 75% is 25% multiplied by 3.
50% of 48 = 24
Since 25% is half of 50% all we have to do is divide by 2.
24 ÷ 2 = 12.
Now, we multiply by 3.
12 * 3 = 36
So, the answer is 36.
Hope this helps! :)
Coach Jump is standing on a platform watching the football team practice. If the platform is 12 feet high and the quarterback is standing 23 feet from the base of the platform, find the angle of depression from Coach Jump to the quarterback. Round to the nearest degree.
Answer:
62 degrees.
Step-by-step explanation:
What you will have here is a right triangle. For the vertical put 12 ft and for the horizontal put 23 ft. You are trying to find the angle between the verticle and hypotenuse. This is what tangent is used for since you know the opposite and you know the adjacent lengths.
But since you are trying to find the angle you need to do an inverse tangent (also called arctangent)
ArctanФ = Adj/opposite
ArctanФ = 12/23 = 27.47 degrees. Rounded to the nearest degree is 27 degrees, if it wants rounded up its 28 degrees.
The angle of depression from Coach Jump to the quarterback is 27.6°.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
In this diagram,
C represents Coach Jump,
B represents the base of the platform,
θ represents the angle of depression from Coach Jump to the quarterback.
Now,
We want to find θ.
We can use the tangent function,
So,
tan Ф = 12/23
Ф = [tex]tan^{-1}[/tex] 12/23
Ф = 27.55°.
Thus,
The angle of depression from Coach Jump to the quarterback is 27.6°.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ2
Select two expressions that are equivalent to v.
There is not image we cannot see the picture
1. Javier scored 78% on the test. Write this
percent as a fraction in simplest form and
as a decimal.
Answer:39/50
Step-by-step explanation:
Between 10 P.M. and 7:45 A.M., the water level in a swimming pool decreased by 3/8 inches . Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answer:
0.03846154... inches/hour
Step-by-step explanation:
between 10 P.M. and 7:45 A.M. = 9.75 hours
(3/8) inches / 9.75 hours = 0.03846154... inches per hour
EDIT: in fraction form
Answer:
1/26 inches/hour
Step-by-step explanation:
between 10 P.M. and 7:45 A.M. = 9 and 3/4 hours, or 39/4 hours
(3/8) inches / (39/4) hours = 1/26 inches per hour
Today, 8 friends went out for lunch. Their total bill was $68.35, including tax and gratuity. One of them ordered only soda and needed to pay only $1.78.
The other 7 friends ordered the same daily special. How much did each of the other friends need to pay?
sil
Dan spent a total of $25 at the grocery store. Of this amount, he spent 14 on fruit. What percentage of the total did he spend on fruit?
Answer:
56%
Step-by-step explanation:
This is because the question you need to ask yourself is: 14 is what percent of 25? and the way you solve that is making it 14/25 and then all percents are out of 100 so you need to change the fraction to over 100 so just multiply by 4 (because 25 x 4 is 100) and you get 56/100, which means 56%.
Paige has 9/8 of a yard of blue thread. She only needs 3/4 of a yard of blue thread to embroider a shirt. How much thread will be left over?
A. 3/8 of a yard
B. 3/16 of a yard
C. 28/35 of a yard
D. 3/4 of a yard
There are 80 balloons used
to make 20 identical gift
baskets. What is the unit
rate in balloons per gift
baskets?
The answer your looking for is 4.
Step-by-step explanation:
This is because ⬇
80
➗ 20
4
You can check this by doing 20 * 4 if needed.
Therefore 4 is your answer.
( Sorry this is late )
HELP!!!
How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B)one solution
C)two solutions
D)infinitely many solutions
If m∠A = m∠B and m∠A + m∠C = m∠D, then
m∠B + m∠C = m∠D.
Which property is shown?
reflexive property
substitution property
symmetric property
transitive property
Answer:
B
Step-by-step explanation:
The answer is b. substitution property
write z=1-3i in exponential form
Answer:
z=re ^iθ =2e ^i 3/π
Step-by-step explanation:
hope this helps
Raquel is reading a book that has 48 pages
On Monday she read 1/8 of the book
On Tuesday she read 3/8 of the book
How many pages does she have left to read in order to finish
Answer:
24
Step-by-step explanation:
1/8+ 3/8= 1/2
1/2 od 48 is 24.
Annika saving money for a trip. She's able to save $75 a week. Her friend from Iceland Eva is also saving money. Eva is able to save 9000 Kronas (Icelandic money) each week. If $4 is equal to 509 Kronas, who is saving at a greater rate?
please show your work/steps
Answer:
Annika is saving more money than Eva
Step-by-step explanation:
first I divide 9000 by 509 and got 17.68 then I multiplied that by 4 and got 70.72 so that is what eva makes a week in us dollars
Jordan is saving up to buy a new jacket. He already has $60 and can save an additional $6 per week using money from his after school job. How much total money would Jordan have after 6 weeks of saving? Also, write an expression that represents the amount of money Jordan would have saved in ww weeks.
Answer:
Jordan will have $96 in all after 6 weeks of saving.
Expression will be f(w)= 60+ 6w
brainliest please
The revenue (in dollars) from the sale of x car seats for infants is given by the following function. R(x) =56x -0.020x^2 0less than or equal to x and 2800 is greater than or equal to x
Answer:
[tex]Rate = 15[/tex]
Step-by-step explanation:
Given
[tex]R(x) = 56 - 0.020x^2[/tex]
Required
Find the average change from 1,000 car seats to 1,050 car seats --- Missing information
This is calculated using:
[tex]Rate = \frac{R(b) - R(a)}{b-a}[/tex]
In this case:
[tex]a = 1000[/tex]
[tex]b = 1050[/tex]
Now, we have:
[tex]Rate = \frac{R(1050) - R(1000)}{1050-1000}[/tex]
[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]
Calculating R(1050)
[tex]R(1050) = 56 *1050- 0.020*1050^2[/tex]
[tex]R(1050) = 58800-22050[/tex]
[tex]R(1050) = 36750[/tex]
Calculating R(1000)
[tex]R(1000) = 56 *1000- 0.020*1000^2[/tex]
[tex]R(1000) = 56000- 20000[/tex]
[tex]R(1000) = 36000[/tex]
So:
[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]
[tex]Rate = \frac{750} {50}[/tex]
[tex]Rate = 15[/tex]
The average rate of change is 12
what factors you think determines more earthquakes will occur in an area
Answer:
Ground shaking is the primary cause of earthquake damage to man-made structures. Many factors influence the strength of earthquake shaking at a site including the earthquake's magnitude, the site's proximity to the fault, the local geology, and the soil type.
The places on the planet where one plate meets another are the most prone to earthquakes. The specific surfaces where parcels of earth slip past each other are called faults. As plates move, pressure builds up across their boundaries, while friction holds them in place
Over 80 per cent of large earthquakes occur around the edges of the Pacific Ocean, an area known as the 'Ring of Fire'; this where the Pacific plate is being subducted beneath the surrounding plates. The Ring of Fire is the most seismically and volcanically active zone in the world.
Why is the product of 9s diagonal?
Answer:
. With each 9s fact you add another 9, which means you go straight down a row and back one space. This creates a diagonal pattern in the grid.
Step-by-step explanation:
The number 99 is divisible by 9 . The number 999 is divisible by 9 , and so on. Any number that is a string of nines is divisible by 9 as it is 9 multiplied by a string of ones. This adds one to the sum of its digits, but you wind up with a number one more than a multiple of 9.
have a nice day and sorry f it is wrong >< T_T
In Michelle's homeroom, 9/15 of the students ride the bus to school, 4/12 get a car ride,
and 2/30 walk to school. Is the following statement true or false and show your work to
prove how you know. In simplest form, 3/5 of the students ride the bus to school.
Please help me I give 17 points:(
Answer:
74
Step-by-step explanation:
Help me plssssss il give brainiest
Answer:
Part A: Venti
Part B: (Check the Step-by-step explanation)
Step-by-step explanation:
The unit rate for these drinks is ounce per $.
Tall: 12 oz/$3.55 ≈ 3.38 oz/$
Grande: 16 oz/$4.25 ≈ 3.76 oz/$
Venti: 20 oz/$4.55 ≈ $4.40/oz
Out of all of these, the unit rate for the Venti is the greatest.
and please explain how you got the answer :)
Answer:
8. 548.9 9.349.3
Step-by-step explanation:
10% of 499 is 49.9
30% of 499 is 3*49.9=149.7
499+49.9=548.9
499-149.7=349.7
A fern grows 7/9 of a foot per year. How much will it grow in 5 years
Answer:
46.6 inches in 5 years
Step-by-step explanation:
Answer: 46.6 inches in five years
Step-by-step explanation:
SO you wanna multiply 7.9 by 5 to get your grand total
1 2/9 + 6 5/12 - 4 7/18
Answer:
Exact Form:
13 /4
Decimal Form:
3.25
Mixed Number Form:
3 1 /4