Answer:
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean 490 mg and variance of 400.
This means that [tex]\mu = 490, \sigma = \sqrt{400} = 20[/tex]
What is the probability that a randomly selected pill contains at least 500 mg of minerals?
This is 1 subtracted by the p-value of Z when X = 500. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{500 - 490}{20}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915.
1 - 0.6915 = 0.3085
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
The probability is 0.3085.
Let X=the amount of minerals.
We have to find P(X≥500).
Mean = 490.
Standard deviation = [tex]\sqrt{400}=20[/tex].
z score of 500 is = [tex]\frac{500-490}{20 } =0.5[/tex].
So, P(X≥500) = P(z≥0.5) = 1 - P(z<0.5) = 1-0.6915=0.3085.
Learn more: https://brainly.com/question/14109853
what is the value of (-35) • (-5/7)
Answer:
56
Step-by-step explanation:
25
We'll start by getting rid of the negatives, because a negative times a negative equals a positive.
Multiply the whole number by the numerator first, then divide by the denominator.
35 x 5 = 175
175/7 = 25
What does this mean <_ but the line under it
Answer:
it means less than or equal to :)
Step-by-step explanation:
A fair die is rolled once. Let A be the event of rolling an even number, and let B be the event of rolling a number greater than 3. Find A ∩ B
Answer:
A ∩ B = {4, 6}
Step-by-step explanation:
A die had 6 faces
S = {1, 2, 3, 4, 5, 6}
If A be the event of rolling an even number, then;
A = {2, 4, 6}
If B be the event of rolling a number greater than 3, then;
B = {4, 5, 6}
A ∩ B are the values that are common to both sets
A ∩ B = {4, 6}
How many ways are there to fill the four committee positions?
Answer:
3 ways
Step-by-step explanation:
since the lowest # of people interested in a position is 3, there can only be 3 different ways to fill an entire 4-person committee
You borrow $225 for eight years of an interest rate of 6%. How much interest will you pay after eight years?
Answer:
You will pay $13.50 in interest and end up paying $238.50 total after the eight years
Step-by-step explanation:
225 x 0.06 = 13.5
225 + 13.5 = 238.5
Answer:
you pay 108 dollars after 8 years
vol is always measured in square units true false
PLEASE HELPPP PLEASEE
Answer:
Step-by-step explanation:
yes
Dev has 9 shells. Zoe has 55 shells. Zoe gives some shells to Dev. Now Zoe has 3 times as many as Dev.
How many shells does Zoe give to Dev?
Answer:let the initial number of shells that dev has be A, and initial number of shells that zoe has be B. let the number of shells that zoe gives to dev be x. after giiving x shells zoe is left with 3 times the number of shell as that of dev. therefore number of shells with zoe = 3×number of shells with dev.
Step-by-step explanation:
Simplify the expression. 16m - 3/5 + 4m - 2 2/5 + 4
A 20m-3
B 20m+1
C 12m+1
D 12m-3
Answer:
it is either B or C
Step-by-step explanation:
Combine Like Terms
Convert 3.12 mm into cm, m and km.
Step-by-step explanation:
to cm = 3.12×100 = 312
to m = 3.12×1000 = 3120
:) HOPE THIS HELPS YOU
Which is the equation for the graph of the limacon curve below?
[-5,5] by [-5,5]
Answer:
Answer is D.
Step-by-step explanation:
The Equation of the Graph is r= 1 + 3 sinФ .
What is Graph for Polar Coordinates?The three crucial trigonometry ratios on which functions are defined are sine, cosine, and tangent. The graphs for the three trigonometric functions sin, cos, and tan are shown below. In these trigonometry graphs, the y-axis represents the value of the function at each given angle, while the x-axis represents the angle values in radians.
here, we have,
Given:
The Graph for each function is Attaches Below.
The graph represented here shows the function r= 1 + 3 sinФ .
The graph for, r= 1 + 3 cos have the vertical graph.
and, the graph for, r= 2+ 2 sinФ have the Circular graph.
and, the graph for, r= 3 + sinФ have the Circular graph.
Learn more about Graph for Polar Coordinates here:
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sr nie wiem o co chodzi ale muszę to zrobić do 18 pani od korków mi tak przysłała lol. DAJE NAJ !!!
Answer:
(1/2)^2= 0.25 thank you
Two dice are rolled simultaneously and the difference of the numbers are
found.
(a) Draw a table to show all the possible outcomes after the rolling of the two
dice.
Answer:
Step-by-step explanation:
you can draw a table that has 7 rows and 7 columns, put the 6 numbers and their difference( 1-1=0, 1-2= -1, 1-3= -2,...)
- 1 2 3 4 5 6
1 0 1 2 3 4 5
2 -1 0 1 2 3 4
3 -2 -1 0 1 2 3
4 -3 -2 -1 0 1 2
5 -4 -3 -2 -1 0 1
6 -5 -4 -3 -2 -1 0
23/147 yd × 3/14 after reducing them by a factor of 2/147 what are the original dimensions of the playground in yards? Write your answer with mixed numbers
Answer:
So the dimensions are 11 1/2 yds × 15 3/4 { 11 whole number 1 by 2 yards multiplied by 15 whole number 3 by 4}
Step-by-step explanation:
Here multiplicative property will be used .
a*1/a= 1
1* a/1= a ( reciprocal)
23/147 yd × 3/14 will be multiplied with the reciprocal of the factor 2/147 to
get the original number.
23/147 yd*147/2 × 3/14*147/2
23/2 yds × 441/28
11 1/2 yds × 15 3/4
So the dimensions are 11 1/2 yds × 15 3/4 11 whole number 1 by 2 multiplied by 15 whole number 3 by 4.
The graph of a function is a line passes through points (6,20) and (8,42). What is the equation of this function?
Answer:
The equation would be y=mx+b so plugging in the slope which is, 11, so y=11x+b WE DO NOT KNOW THE Y INTERCEPT
When graphing the coordinate (3,4) you would...
A. first move 3 coordinates up the y axis and then 4 coordinates over the the x axis
B. first move 3 coordinates over on the x axis and then 4 coordinates up the y-axis
What is the length of the hypotenuse?
A. 10
B. 14
C. 48
D. 100
Option A= 10
ProcessUsing Pythagoras Theorem,
8²+6²= (hypotenuse)²
64+36= (hypotenuse)²
(hypotenuse)²= 100
hypotenuse= √100
hypotenuse= 10
So Option A= 10
Hope This Helps You ❤️Answer:
The hypotenuse is A. 10.
Step-by-step explanation:
To find the length of hypotenuse we can use the pythagoras theorem formula:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]=>6^{2} +8^{2} = c^{2}[/tex]
[tex]=> 36 + 64 = c^{2}[/tex]
[tex]=> 100 =c^{2}[/tex]
[tex]=> c = \sqrt{100}[/tex]
∴ [tex]c[/tex] [tex]= 10[/tex]
2.5x + 1 = 26 help hurryyyyyyyyy!!!!?!?!??!?!?!
Answer:
2.5x=26-1
x=25/2.5
x=10
Step-by-step explanation:
Answer:
I assume you're solving for x, so the answer is 10
Step-by-step explanation:
First you isolate the x, so you need to subtract one from both sides, which results in the equation 2.5x = 25, and then you divide 25 by 2.5, which gives you x = 10
PLS HELP ILL MARK BRAINLIST
Answer:
76 m²
Step-by-step explanation:
The figure has been decomposed into 3 rectangles as shown in the attachment. Therefore:
Area of the figure = area of rectangle 1 + area of rectangle 2 + area of rectangle 3
✔️Area of rectangle 1:
Area = L*W
L = 2 m
W = 4 m
Area = 2*4 = 8 m²
✔️Area of rectangle 2:
Area = L*W
L = 4 m
W = 6 - 4 = 2 m
Area = 4*2 = 8 m²
✔️Area of rectangle 3:
Area = L*W
L = 10 m
W = 6 m
Area = 10*6 = 60 m²
✅Area of the figure = 8 + 8 + 60
= 76 m²
Find the reciprocal of the numbers below: a. 1/3 b. 4/5 c. 7
Answer:
a. 1/3 = 3 b. 4/5 = 5/4 c. 7 = 1/7
Step-by-step explanation:
Reciprocal means switching the numerator to the denominator and the denominator to the numerator. Whenever you have a whole number, there is an imaginary 1 as the denominator that is why the reciprocal of 7 is 1/7.
Ayaan does push-ups and sit-ups every morning. He does p push-ups and 2p + 5 sit-ups. Which statement describes the number of sit-ups Ayaan does every morning?
The number of sit-ups is 5 more than twice the number of push-ups he does.
The number of sit-ups is 5 more than half the number of push-ups he does.
The number of sit-ups is 5 fewer than twice the number of push-ups he does.
The number of sit-ups is 5 fewer than half the number of push-ups he does.
Answer:
A. The number of sit-ups is 5 more than twice the number of push-ups he does.
Step-by-step explanation:
Expressions:
p = push-ups done
2p + 5 situps = total situps
2p means that he does twice the amount of situps than he did as pushups.
+ 5 situps means that he does an extra 5 situps
margo has 6 square tiles of equal size. each side of each tile is 0.8 inch long. if margi places all the tiles in a row with sides touching, how long is the row?
—————————————————
Margi has 6 square tiles of equal size. each side of each tile is 0.8 inch long. If Margi places all the tiles in a row with sides touching, how long is the row?
༆SOLUTION:—————————————————
[tex]\mathrm{N = 6×0.8 \: inch}[/tex]
[tex]{\boxed{\mathrm\green{N = 4.8 \: inch}}}[/tex]
༆ANSWER:—————————————————
[tex]\purple{\boxed{\boxed{\tt\pink{➢4.8 \: inch}}}}[/tex]
If Margi places all the tiles in a row with sides touching, the row will be 4.8 inch long!Rowena and Arlene are going to make a triangular path in her garden. The sides will be 20 feet, 36 feet, and 18 feet. What is the total length of the path? Answer the questions that follow using AGONSA.
Answer: 74feet
Step-by-step explanation:
In this case, to calculate the total length of the path, we have to find the perimeter of the shape which is a triangle.
It should be noted that the perimeter of a triangle is the addition of all of its sides. The sides given here are 20 feet, 36 feet, and 18 feet. Therefore, the total length will be:
= 20ft + 36ft + 18ft
= 74ft
The perimeter of a triangle is the sum of all sides of the triangle. Then the path length is 74 feet.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Rowena and Arlene are going to make a triangular path in her garden.
The sides will be 20 feet, 36 feet, and 18 feet.
The length of the path is given by the perimeter of the triangle. Then we have
Length of path = 20 + 36 + 18
Length of path = 74 ft.
More about the triangle link is given below.
https://brainly.com/question/25813512
A line segment has endpoints at (-7, 2) and (8,8). What is the x-coordinate of the point on the line segment that is the distance from (-7, 2) to (8,8)?
Answer:
Sorry dud it been long time I've not answered 0ne
Answer:
Heyy
Step-by-step explanation:
Did ya get the answer ???
Help!! Please
I need the simplified form
Answer:
1/2
Step-by-step explanation:
The yearly profits of a company are shown in the table.
Which answer describes the average rate of change from Year 2 to Year 4?
A Profits increased by an average of $10,600 per year
from Year 2 to Year 4.
B Profits increased by an average of $21,600 per year
from Year 2 to Year 4.
C Profits decreased by an average of $21,600 per year
from Year 2 to Year 4.
D Profits decreased by an average of $10,600 per year
from Year 2 to Year 4.
Answer:
Step-by-step explanation:
Hi, Emily. The average rate of change can be calculated by adding all the profits together and dividing by the different profits (4 profits all together A to D) so 10,600+21,600+-21,600+-10,600= 0
0/4= 0
So we can best describe this as 0 or nothing at all as it hasnt changed from year 2 to 4.
Many Regards,
Abdelmumen Nakoa
A fellow 8th grader.
Someone help! What is 4 1/4-5/6?
Answer:
3 5/12
Step-by-step explanation:
Answer:
3 5/12
Step-by-step explanation:
4 1/4-5/6
Get a common denominator of 12
4 1/4 *3/3 - 5/6 *2/2
4 3/12 - 10/12
Borrow from the 4
3 + 12/12 + 3/12 - 10 /12
3 15/12 - 10/12
3 5/12
How many significant figures are in 0.0624000?
Answer:
Use notes and youll get an answer
Step-by-step explanation:
What is 6 1/12 - 3 6/12? Move numbers to the boxes to show the answer. If there is no whole number put a 0 in the first box
6/12
- 1/12
= 5/12
6 - 3 = 3
= 3 5/12
the price p of an aluminum tube is jointly proportional to its radius r and the length l. if a 12-foot pipe with 5-inch radius costs 5250 pesos, how much will be the cost of a 9-foot pipe with a 6-inch radius?
Answer:
4725 pesos
Step-by-step explanation:
The price p of an aluminum tube is jointly proportional to its radius r and the length l.
For joint variation, we have the expression:
p ∝rl
Hence
p = krl
Step 1
Solving for k
if a 12-foot pipe with 5-inch radius costs 5250 pesos,
5250 = k × 12 × 5
5250 = 60k
k = 5250/60
k = 87.5
Step 2
how much will be the cost of a 9-foot pipe with a 6-inch radius
We make use of the expression:
p = krl
p = 87.5 × 9 × 6
p = 4725 pesos
Therefore, the cost is = 4725 pesos