Answer:
a) 0.2578 = 25.78% probability that the amount of collagen is greater than 60 grams per mililiter.
b) 0.9994 = 99.94% the probability that the amount of collagen is less than 90 grams per mililiter.
c) 68.26% of compounds formed from the extract of this plant fall within 1 standard deviation of the mean
Step-by-step explanation:
Normal Probability Distribution:
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.
The collagen amount was found to be normally distributed with a mean of 65 and standard deviation of 7.7 grams per mililiter.
This means that [tex]\mu = 65, \sigma = 7.7[/tex]
a. What is the probability that the amount of collagen is greater than 60 grams per.
This is 1 subtracted by the pvalue of Z when X = 60. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 65}{7.7}[/tex]
[tex]Z = -0.65[/tex]
[tex]Z = -0.65[/tex] has a pvalue of 0.2578
0.2578 = 25.78% probability that the amount of collagen is greater than 60 grams per mililiter.
b. What is the probability that the amount of collagen is less than 90 grams per.
This is the pvalue of Z when X = 90.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{90 - 65}{7.7}[/tex]
[tex]Z = 3.25[/tex]
[tex]Z = 3.25[/tex] has a pvalue of 0.9994
0.9994 = 99.94% the probability that the amount of collagen is less than 90 grams per mililiter.
c. What percentage of compounds formed from the extract of this plant fall within 1 standard deviation of the mean?
Between Z = 1 and Z = -1, so the proportion is the pvalue of Z = 1 subtracted by the pvalue of Z = -1
Z = 1 has a pvalue of 0.8413
Z = -1 has a pvalue of 0.1587
0.8413 - 0.1587 = 0.6826
0.6826*100% = 68.26% of compounds formed from the extract of this plant fall within 1 standard deviation of the mean
Find the arithmetic mean of the sales per day in a fair price shop in a week.
Rs 10000, Rs 10250, Rs 10790, Rs 9865, Rs 15350, Rs 10110.
Answer:
11060.83
Step-by-step explanation:
Sum = 10000 + 10250 + 10790 + 9865 + 15350 + 10110
= 66365
No. of days (N) = 6
Arithmetic mean = Sum/ N
= 66365/6
= 11060.83
Step-by-step explanation:
sum =Rs 10000+ Rs 10250+ Rs 10790+Rs 9865+ Rs 15350+Rs 10110.=rs66365
n=6
mean=sum/n=rs66365/6=11060.833
A square pyramid is shown below.
Which shapes could be formed by slicing the square pyramid by a plane? Select all that apply.
A. circle
B. triangle
C. rectangle
D. trapezoid
E. square
Answer:
B and e
Step-by-step explanation:
The shape is a square.
What is a Square Pyramid?'A square pyramid is a three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called vertex) is called a square pyramid.'
According to the given problem,
If a square pyramid is cut along the plane, then the cross-section of the solid is square. Because it is a square pyramid.
Hence, we concluded that square could be formed by slicing the square pyramid by a plane.
Learn more about square pyramid here: https://brainly.com/question/27350043
#SPJ2
You were planning to spend $12 on a
pizza. Write and solve an inequality to represent
the additional amount you must spend to get
free delivery.
Answer:
x+12
Step-by-step explanation:
I belive some part of this may be missing. I feel like their should be more info maybe on how much you have to buy but this in general is technically correct. x is the amount you must spend to get free delivery + 12 bucks
What is the recursive formula for the geometric sequence 2, 12, 72, 432,.. ?
[tex]a_{1}=2\\a_{n}=6a_{n-1}[/tex]
The recursive formula is aₙ = 2(6)ⁿ⁻¹.
What is recursive formula?A recursive formula for a geometric sequence with common ratio r is given by aₙ = a₁ rⁿ⁻¹ for n≥2.
Given: 2, 12, 72, 432,..
r= 12/2= 6
a= 2
The recursive formula for the nth term,
aₙ = a₁ rⁿ⁻¹
aₙ = 2(6)ⁿ⁻¹
Hence, the recursive formula is aₙ = 2(6)ⁿ⁻¹
Learn more about this concept here:
https://brainly.com/question/11813228
#SPJ1
Rewrite the radical as a rational exponent.
Hi hi dude I just don’t want to play anymore I just don’t want to play
9514 1404 393
Answer:
equation: 8 = v + 5solution: v = 3Step-by-step explanation:
The green line is shown as having a length of 8.
The black line is shown as having two parts that add up to the total length of the black line: v + 5.
The problem statement tells you these are the same length. An equation that says they are equal is ...
8 = v + 5
__
This is solved by subtracting 5 from both sides of the equation.
8 -5 = v +5 -5
Combining like terms gives ...
3 = v
The solution is v = 3.
In the figure, angle D measures 31 degrees and angle A measures 27 degrees.
The measurement of angle B is:
59, 63, or 90
Angle F is:
59, 63, or 90
Answer:
Angle B = 63° Angle F = 59°Step-by-step explanation:
C = 90° (right angle)
A = 27°
3 angles are added to result in 180° (property of triangle)
Therefore B =
180 - (90 + 27) =
180 - 117 =
63°
Angle B = 63° ✅E = 90° (right angle)
D = 31°
3 angles are added to result in 180° (property of triangle)
Therefore F =
180 - (90 + 31) =
180 - 121 =
59°
Angle F = 59° ✅____________________
#IndonesianPride - kexcvi
Answer:
B= 63
F= 59
Step-by-step explanation:
a+ b+ c= 180
27+b+ 90=180
117+b=180
180-117=b
B= 63
D+E+F=180
31+ 90+ F=189
121 +F=180
180-121= F
F= 59
What is her average?
Answer:
95
Step-by-step explanation:
88 + 95 + 97 + 100 = 380
380 ÷ 4 = 95
To find the average you add all the numbers together and then divide that answer depending on how many numbers there are for example there were 4 numbers in this problem so I divided by 4.
Hoped this helped you!! If you have any other questions about what I said you can ask me :) Have a great day!
Hao bought a 16-pound bag of dog food. If his dog eats pound of food every day, for how many days will the bag of dog food last?
Answer:
uh 1 pound per day 16 pounds so 16 days, i guess
Step-by-step explanation:
classify the following based on sides and angles.
Answer:
D. right; scalene
Step-by-step explanation:
As you can see in the diagram you have a 90, 50, and 40 degrees angles. Because one of the angles is equal to 90 degrees (a right angle) this triangle can be classified as a right triangle.
No congruent sides are shown.... That means it's a scalene.
solve for x please help asap! 20 points
Answer:
25x-21 would be my best guess!
A seller has a house that is 1800 square feet. The neighborhood comps show
the line of best fit to be y = 0.074x +50 48. What is a fair price for this house?
A. $150,000
B. $183.68
C. $150.00
D. $184,000
SUBMIT
A fair price for this house is $183.68. Therefore, option B is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Given that, a seller has a house that is 1800 square feet.
The neighborhood comps show the line of best fit to be y = 0.074x+50.48.
Substitute x=1800 in the given equation, we get
y=0.074×1800+50.48
y=$183.68
Therefore, option B is the correct answer.
To learn more about the equation of a line visit:
https://brainly.com/question/2564656.
#SPJ1
Which equation matches this graph ?
Answer:
Wheres the graph??
Step-by-step explanation:
Discount, markup, and commission word problems
You might need: Calculator
A store has a 40% off sale on headphones. With this discount, the price of one pair of headphones is $36.
What is the original price of the pair of headphones?
$
Show Calculator
Stuck? Watch a video or use a hint.
Report a problem
Answer:
90$
Step-by-step explanation:
X(40%) = 36$
X(40/100) =36
40X = 3600
X = 90$
(recheck: 90$ x 40%= 36$)
may someone please help me find the area of this parallelogram? thank you!
8x + 9y - 6x - 3y i forgot how to do these lol
2. Which pair of angles is not congruent? F. ∠1 and ∠7 G. ∠3 and ∠5 H. ∠4 and ∠6 I. ∠2 and ∠5
Answer:
I) ∠2 and ∠5
Step-by-step explanation:
WILL GIVE BRAINLIEST
Find the measure of 61.
{
839
41
{ K
41 = [?]
Enter
Answer:
m<1 = 97°
Step-by-step explanation:
<1 and 83° are same-side interior angles. Same-side interior angles are supplementary. This implies that:
m<1 + 83° = 180°
Therefore:
m<1 + 83° - 83° = 180° - 83° (subtraction property of equality)
m<1 = 97°
Answer:
<1=97°
steps:
<1+83=180 co interior angle
<1=180-83=97°
Which of the following lines is perpendicular to the line 8x + 6y = 12 and passes through the point (-12,-2)?
Answer:
y = 3/4x + 7
Step-by-step explanation:
8x + 6y = 12
6y = -8x + 12
y = -4/3x + 2
Perpendicular slope: 3/4
y - y1 = m(x - x1)
y + 2 = 3/4(x + 12)
y + 2 = 3/4x + 9
y = 3/4x + 7
If an image was translated 8 units to the left and 2 units down, what would its rule be?
A. (X,Y-> (X + 8, y - 2)
B. (x, y) --> (X - 8, y - 2)
C. (x, y) --> (X + 8, y + 2)
D. (x, y) --> (X - 8, y + 2)
ill give brainliest! plsss help
Answer:
B
Because u r going -8 units on the x-axis and 2 units down on the y-axis
if 25,m+1,35 are arithmetic sequence then find the value of m
Answer:
m = 29
Step-by-step explanation:
You are counting by fives.
25, 30, 35
m + 1 = 30
m + 1 - 1 = 30 - 1
m = 29
25, (29 + 1), 35
25, 30, 35
The value of m is equal to 29
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.
We are counting by fives.
m + 1 = 30
Now subtract 1 on both sides;
m + 1 - 1 = 30 - 1
m = 29
Thus substituting the value to find other terms;
25, (29 + 1), 35
The sequence is
25, 30, 35
Learn more about arithmetic sequence here:
https://brainly.com/question/3702506
#SPJ2
Susie is paying $568.97 every month for her $150,000 mortgage. If this is a 30 year mortgage, how much interest will she pay over the 30 years of payments?
Answer:
Step-by-step explanation:
Take the paying multiply by months then take the years - the total loan
so you'd have 568.97(12)30-150000=54829.20
Finding the area of each
Answer:
C.
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
2*2=4
Find a coterminal angle between 0 and 360 degrees.
525°
A) 35°
C) 145°
B) 165°
D) 285°
I need help with this
Answer:
i need help with this so you can ready
this dot plot is symmetric, and the data set has no extreme values
Answer:
Where is the plot?
Step-by-step explanation:
x:1≤x≤9,x is a prime
Answer:
1≤x≤9
0,1,0,1,2,3,4,5,6,7,8,9
x is a prime number 2,3,5,7
HELP PLS WUICK! GIVING OUT BRAINLIST
Answer:
27
reason:
did it recently
POSSIBLE POINTS: 15
A can of soda contains 0.355 liters of soda. How many milliliters of soda are in one can?