The amount of time taken to finish a Biology exam has a normal distribution with a mean of 80 minutes and standard deviation of 15 minutes. About what percent of test takers finished the exam less than 65 minutes
Answers
Answer:
15.86552112%
Step-by-step explanation:
Approximately 15.87% of test takers completed the exam in under 65 minutes.
How to find the percentage of test takers?To find the percentage of test takers who finished the exam in less than 65 minutes, we need to use the normal distribution to find the proportion of test takers who fall within this time range.
First, we need to convert the time in minutes to a standard score, also known as a z-score.
The formula for calculating the z-score is:
z = (x - μ) / σ
where x is the value (in this case, the time taken to finish the exam), μ is the mean, and σ is the standard deviation.
Substituting the given values into the formula, we get:
z = (65 - 80) / 15 = -1
This means that the time of 65 minutes is 1 standard deviation below the mean.
Next, we can use a z-table or a calculator that can calculate the area under the normal curve to find the proportion of test takers who scored less than 65 minutes. This proportion is the same as the percentage of test takers who finished in less than 65 minutes.
Using a z-table or a calculator, we find that the proportion of test takers who scored less than 1 standard deviation below the mean is about 0.1587 × 100% = 15.87%. This is also the percentage of test takers who finished the exam in less than 65 minutes.
Therefore, about 15.87% of test takers finished the exam in less than 65 minutes.
Learn more about the z-score here:
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Related Questions
780 to 220 as a ratio
Answers
A man went on a vacation. He hiked 8 1/2 miles each
day. If he hiked a total of 68 miles, how long did
his vacation last?
Answers
Answer:
8 days
Step-by-step explanation:
if he hiked 68 miles in total you just need to divide by 8.5
Athlete J runs 2/3 of a mile in 8 minutes. Athlete H runs 2 3/4 miles in 1/2 hour.
If Athlete J continues at that speed, how long will it take to run one mile?
Answers
The speed of an athlete or a car or bicycle is given by the time it takes the athlete or car to complete a unit distance.
The time it would take runner J to complete 1 mile is 12 minutesReasons:
The time it takes athlete J to run 2/3 miles = 8 minutes
The time it takes athlete H to run [tex]2\frac{3}{4}[/tex] miles = [tex]\frac{1}{2}[/tex] hour
Required:
The time it would take athlete J to run one mile
Solution:
[tex]\displaystyle \frac{2}{3} \ mile \ takes \ runner \ J \ 8 \ minutes[/tex]
Therefore;
[tex]\displaystyle \frac{\frac{2}{3} \ mile}{\frac{2}{3} } \ takes \ runner \ J \ \frac{8 \ minutes}{\frac{2}{3} }[/tex]
[tex]\displaystyle \frac{\left(\frac{2}{3} \ mile \right)}{\left(\frac{2}{3} \right) } = 1 \ mile \ takes \ \frac{8 \ minutes}{\frac{2}{3} } = 8 \ minutes \times \frac{3}{2} = 12 \ minutes[/tex]
1 mile takes 12 minutes
It would take runner J 12 minutes to run 1 mile.
Learn more here:
https://brainly.com/question/16975251
https://brainly.com/question/24835470
someone plz help me plzzzzzz
Answers
Answer:
-12
Step-by-step explanation:
To solve for this question, you have to isolate the variable u. To do this, divide both sides by 7/4 to isolate the u. Then your equation should be u= -21 divided by 7/4. This would simplify to -21 times 4/7. This would get you -12. Hope this helps :)
the sale price of a spring break vacation package was $119.99 the travel agent said by booking early you saved $50 find the percent decrease in price round the answer to the nearest tenth of a percent if necessary
Answers
Answer:
10%
Step-by-step explanation:
$179.99+$20=$199.99
$20/$199.99=0.1000
=10%
Item 3
Tyler bought 14 tickets to a basketball game. The group rate saved him $5.25 per ticket. He paid a total of $283.50 for the tickets.
What was the regular price of a ticket to the game?
Enter your answer in the box.
$
Answers
Answer:
$25.50
Step-by-step explanation:
$5.25 savings on each ticket,
$73.50 savings on 14 tickets (5.25*14)
He paid $283.50
Original price of 14 tickets:
283.5+73.5
= 357
357/14
= $25.50 per ticket
Question 9 of 10
Which of these is a factor in this expression?
5z^4-3+8(y^3+4)
Answers
Answer:
its A edge 2021 Unti test
Step-by-step explanation:
Answer:
Step-by-step explanation:
(y^3+7)
What is 200×15x= to?
Answers
Nolan's Diner uses Super Hot Sauce when requested at their tables. Last night, 65 tables were served and 45 of those tables requested Super Hot
Sauce. What percent of the tables did not request Super Hot Sauce? (Round your percent to the nearest whole percent
Answers
Answer:
30.77%
Step-by-step explanation:
45 divided by 65 is 0.6923076923076923 (Rounded to 2 digits is 0.69). Multiply this by a hundred to get a percentage (69.23). We need to find those who didn't order hot sauce so we subtract 100-69.23 to get the answer 30.775.
The height of a rectangular prism is 15 cm the area of its base is 270 square cm. What is the volume of the rectangular prism
Answers
Answer:
4050 cm cubed
Step-by-step explanation:
15 * 270 = 4050 cm cubed
(-10-3)-(1-5) solve this equation
Answers
Answer:
-9
Step-by-step explanation:
Need help pre college
Answers
Answer:
[tex]\LARGE\mathsf{y\:=\:-\frac{7}{10}x\:-\frac{21}{10} }[/tex]
Step-by-step explanation:
Given the two points, (-3, 0) and (7, -7):
We can use these points to solve for the slope, and determine the value of the y-intercept.
Slope:Let (x₁, y₁) = (-3, 0)
(x₂, y₂) = (7, -7)
Substitute these values into the following slope formula:
[tex]\large\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\large\mathsf{m = \frac {-7\: -\:0}{7\: -\:(-3)}\:=\:\frac{-7}{7\:+\:3}\:=\frac{-7}{10}}[/tex]
Therefore, the slope of the line is: [tex]\large\mathsf{m\:=-\frac{7}{10}}[/tex].
Y-intercept:Next, we must determine the value of the y-intercept. The y-intercept is the point on the graph where it crosses the y-axis. The coordinates of the y-intercept is often represented by (0, b ), where the y-coordinate, b, is used as the value of the y-intercept on the slope-intercept form.
Using the slope, [tex]\large\mathsf{m\:=-\frac{7}{10}}[/tex] , and one of the given points, (-3, 0), substitute these values into the slope-intercept form, y = mx + b, and solve for the value of b:
y = mx + b
[tex]\large\mathsf{0\:=-\frac{7}{10}(-3)\:+\:b}[/tex]
[tex]\large\mathsf{0\:=\frac{21}{10}+\:b}[/tex]
Subtract [tex]\mathsf{\frac{21}{10}}[/tex] from both sides to isolate b :
[tex]\large\mathsf{0\:-\frac{21}{10}\:=\frac{21}{10}\:-\:\frac{21}{10}+\:b}[/tex]
[tex]\large\mathsf{\:-\frac{21}{10}\:=\:b}[/tex]
Therefore, the value of the y-intercept is: [tex]\large\mathsf{b\:=\:-\frac{21}{10}}[/tex].
Linear Equation in Slope-intercept Form:The linear equation in slope-intercept form is: [tex]\LARGE\mathsf{y\:=\:-\frac{7}{10}x\:-\frac{21}{10} }[/tex].
A rental car company charges $54.35 per day to rent a car and $0.09 for every mile
driven. Jayden wants to rent a car, knowing that:
• He plans to drive 425 miles.
• He has at most $310 to spend.
Use the drop-down menu below to write an inequality representing d, the total
number of days Jayden can rent the car while staying within his budget.
Answers
9514 1404 393
Answer:
54.35d + 0.09×425 ≤ 320
Step-by-step explanation:
The amount Jayden will spend on rental for d days and 425 miles will be ...
54.35d + 0.09×425 ≤ 320 . . . . . the basic inequality
__
This can be simplified to ...
54.35d +38.25 ≤ 320
or ...
54.35d ≤ 281.75 . . . . . . . subtract 38.25
_____
Divide by the coefficient of d to find the solution:
d ≤ 5.184
Jayden can rent the car for 5 days while staying within his budget.
7(3x-2)+4x-10 as binomial forms
Answers
Answer:
25x-24
Step-by-step explanation:
Simplify:
21x-14+4x-10
25x-24
what is the value of y?
PLS HELP
Answers
Answer:
y = 10
Step-by-step explanation:
2y+30 = 3y+20
3y-2y= 30-20
y = 10
Answer:
[tex](2y30) = ( 3y + 20)[/tex]
so its 10 bc 30-20
Compact florescent light bulbs save energy when compared to traditional incandescent bulbs. Our green energy campaign includes efforts to get local residents to change their incandescent bulbs to fluorescent bulbs. Initially 200 households make the change. Market studies suggest that, in the absence of limiting factors, we could increase that number by 25% each month. In our target area, there are 252,200 households, which we take as the limiting value.
Required:
Make a logistic model that gives the number of households converting to florescent bulbs after t months. (Use t as your variable. Round r to three decimal places.)
Answers
The logistic equation that models this situation is given by:
[tex]P(t) = \frac{252200}{1 + 1260e^{-0.25t}}[/tex]
The logistic equation for a population is given by:
[tex]P(t) = \frac{K}{1 + Ae^{-kt}}[/tex]
[tex]A = \frac{K - P(0)}{P(0)}[/tex]
In which:
K is the carrying capacity.P(0) is the initial value.k is the growth rate, as a decimal.In this problem:
Total of 252,200 households, which means that this is the maximum number of households that may make the change, hence, [tex]K = 252200[/tex].Increase of 25% each month, hence, [tex]k = 0.25[/tex].Initially, 200 households made the change, hence [tex]P(0) = 200[/tex].Then:
[tex]A = \frac{252200 - 200}{200} = 1260[/tex]
[tex]P(t) = \frac{252200}{1 + 1260e^{-0.25t}}[/tex]
A similar problem is given at https://brainly.com/question/13229117
Are the graphs of y= 1/3x-4 and y-2=-3(x-4) parallel, perpendicular, or neither
Answers
Answer:
They are perpendicular
Step-by-step explanation:
the first graph has 1/3 as its slope.
The inverse of 1/3 is the negative reciprocal, or -3/1, which is the same as -3.
Thus, as the second graph’s slope is -3, it is the inverse of the first graphs slope, which means the two graphs represent lines which are perpendicular to each other.
Answer:
12.) On opening night, a play sold 3,492 tickets. On the second night, they sold 274 fewer tickets.
Part A: How many tickets did the play sell on the second night?
Part B: How many tickets did they sell on both nights combined?
Answers
Answer:
Part A: 3218 tickets
Part B: 6710 tickets
Step-by-step explanation:
Part A: 3,492 - 274 = 3,218
Part B: 3492 + 3218 = 6,710
Answer:
Part A: 3218
Part B: 6710
Step-by-step explanation:
For Part A, you need to subtract 274 from 3492.
3492-274 = 3218.
They sold 3218 tickets on the second night.
For Part B, you need to add the number of tickets they sold on opening night AND the second night.
3492+3218= 6710.
They sold 6710 tickets in total.
Help me answer 1-3 only
Answers
Answer:
1 yes 2 yes 3 no
Please help asap! What is the slope of the line in the graph?
Answers
Answer:
1/1 or 1
Step-by-step explanation:
A book sold 36,500 copies in its first month of release. suppose this represents 8.4% of the number of copies sold to date. How many copies have been sold to date?
Answers
Answer: 434,524
Step-by-step explanation:
We know 36,500 is 8.4% of the total. To find 100%, we must divide 36500 by 8.4 to find 1% which is 4345.238...
To get from 1% to 100%, we must multiply our answer by 100 to get 434523.8 which we can then round to the nearest whole number 434524
the perimeter of a square field is 500m.find the area of field
Answers
Hope it helps.
Do comment if you have any query.
Answer:
15625 m ^ 2Step-by-step explanation:
500: 4 = 125 and find the side, Area = side by side (side ^ 2), 125 * 125 = 15625 m ^ 2
you can use this expression:
(500 ÷ 4)² = 15625 m ^ 2
what is the output when the input is (n) please help!
Answers
Subtract the output from the inputs and you find that the output is the input - 4
Output = n - 4
can anyone figure out what this is equivalent to?
Answers
Answer:
Step-by-step explanation:
[tex]\sqrt{4j^{4} } /\sqrt{9k^{8} }[/tex]
2j² / 3[tex]k^{4}[/tex]
0) Find the slope of the line that
contains (−3,5) and (3,−9).
Answers
Step-by-step explanation:
given points are,
(-3,5) and (3,-9)
we know,
slope = y2 - y1 / x2 - x1
now,
→ -9 - (5)/ 3 - (-3)
→ -4/6
→ -0.66....
therefore, slope of the line is -4/6 in fraction and in decimal it is -0.66...(non terminating).
hope this answer helps you dear! take care
cuanto es 6 dividido por 19?
Answers
Answer:
0.3157894
Step-by-step explanation:
calculator ........................... ..... .
Answer:
0.315789474
6/19= 0.315789474
Consider the function f whose graph is shown below
Answers
Answer:
domain - -9 <x < 7
range - -6 < y < 4
Step-by-step explanation:
HELP ME PLS WILL MARK BRAINLIEST
Answers
Answer:
Step-by-step explanation:
1.) 143.25 - 11.25 = $132
$132 - 22 - 22 - 22 - 22 - 22 - 22 = 132
so 6 people can go
2.) it was 18 miles which stella whent 18 miles from her house to the airport
please mark this as brainlists
Select all the expressions equivalent to (4x⁵)(5x⁶).
Answers
Step-by-step explanation:
[tex] = 4 {x}^{5} \times 5 {x}^{6} [/tex]
[tex] = (4 \times 5) {x}^{5 + 6} [/tex]
[tex] = 20 {x}^{11} [/tex]
Help me for 100 points yessir thanks you
