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
HELP!!!!! need the answer
Answer:
Solution,
Radius(r)=6 cm
Height(h)=20 cm
Volume of cylinder= pi (r)^2 h
=3.14*(6)^2*20
=3.14*36*20
=2260.8 cm^3
Hope it helps
Good luck on your assignment
HELP ASAP
Find x to the nearest hundredth.
Answer:
x = 10.28
Step-by-step explanation:
sin = opp/hyp
sin 40 = x / 16
multiply both sides by 16
16 * sin40 = x
x = 10.284601754984629
Rounded
x = 10.28
75 is 24% of what number?
I WILL GIVE BRAINLIEST!!!!
Answer:
312.5
Step-by-step explanation:
Is means equals and of means multiply
75 = 24% * n
Change to percent form
75 = .24 n
Divide each side by .24
75/ .24 = .24n/.24
312.5 = n
I NEED HELP ON THIS PLS I WILL MARK BRAINLIEST
Answer:
56.5
Step-by-step explanation:
To find the perimeter of circle (circumference), we multiply Pi and our radius (half the length across the circle) and then multiply that by 2. perimeter = 2 · π · r
Multiply 18x2 to get 36. Multiply that by pi to get 56.54866776 ( just round to nearest tenth for simplicty ;) ) Therefore, our answer is 56.5
Need help thanks :)
Answer:
Answer 1= 2 square
Answer 2= 33
-3x+10=21 solve for x
Answer:
Step-by-step explanation:
-3x+10=21
-3x=21-10
-3x=11
x=11/-3
x=- 11/3
what is the area of this octagon
Answer:
59cm^2
Step-by-step explanation:
first you can do 8x9 to get 72 then you can subtract 4x2 from 72 to get 64 and lastly you have to subtract 4 from 9 to get the area of the small rectangle on the left so you get 5 and then you have to get the width which is 4+3 from the top and subtract that from 8 on the bottom which is 1 so now you have 5x1 which is 5 and subtract that from 64 to get 59cm^2
hope this helps
A box contains 60 identical marbles where x of them are red while the rest are yellow. If a marble is drawn and the probability that it is white is 1/12, find the value of x.
b: How many white marbles must be added to the box so that the probability of choosing a white marble is 5/16?
Please answer I will make brianliest!!
Answer:
a. x is 55
b. 20 white marbles
Step-by-step explanation:
Question: A box contains 60 identical marbles where 'x' of them are red while the rest are white; (given that in the original question, the box only contains red and yellow marbles, the yellow can be replaced by white to explain the question idea)
a. The number of identical marbles in the box, n = 60
The number of red marbles = x
The number of white marbles = The rest of the marbles which are not red
The probability that a marble drawn is white, P(y) = 1/12
Let 'y' represent the number of white marbles
From probability theory, we have;
The number of white marbles, y = n × P(y) = 60 × 1/12 = 5
The number of red marbles, x = n - y = 60 - 5 = 55
x = 55
b. The number of white marbles that must be added to make the probability of choosing a white marble = 5/16 is given as follows;
Let Δy represent the number of white marbles added, therefore;
P(y) = (y + Δy)/(y + Δy + x)
∴ P(y) = (5 + Δy)/(5 + Δy + 55) = 5/16
5 × (60 + Δy) = 16 × (5 + Δy)
300 + 5·Δy = 80 + 16·Δy
16·Δy - 5·Δy = 300 - 80
11·Δy = 220
Δy = 220/11 = 20
The number of white marbles that must be added, Δy = 20 white marbles
PLS HELP THIS IS URGET ILL GIVE 100 POINTS
BOTH OR ONE QUESTION ANSWER WILL DO
36% in its simplest fraction
Answer:
9/25
Step-by-step explanation:
Find the area of this circle. Use 3.14 for . A circle has diameter 62 feet. 62 ft
PLS HELP
Answer:
3017.54
Step-by-step explanation:
Volume for area of circle is A = Pie ( Or in this case 3.14 ) * radius ^ 2
Plug in the numbers 3.14 * 31 ^2
31 is half the diameter or the radius
Answer = 3017.54
An amount of $45,000 is borrowed for 13 years at 6.75% interest, compounded annually. If the loan
paid back
Use the calculator provided and round your answer to the nearest dollar,
Answer:
$104850
Step-by-step explanation:
Given data
Principal= $45,000
Time = 13 years
Rate= 6.75%
the compound interest expression is
A= P(1+r)^t
A=45000(1+0.0675)^13
A= 45000(1.0675)^13
A= 45000*2.33
A= $104850
Hence the final amount will be $104850
One leg of a right triangle is 24. What is the length of the other leg if the hypotenuse is 25?
Answer:
Hello! answer: 7
Step-by-step explanation:
24 × 24 = 576
7 × 7 = 49
576 + 49 = 625
√625 = 25
therefore the missing leg is 7
Charlotte recorded the number of minutes she spent exercising in the past ten days: 9, 9, 5, 2, 7, 1, 14, 3, 5, 6. Find the median of the data.
The price of an article is increased from Rs 75 to Rs 78. Find the percentage increase in the price of the article.
( 78 -75 / 75 ) × 100 =
(3/75 )× 100 =
( 3 / 3 × 25 ) × 100 =
(1/25) × 100 =
100/25 =
% 4
Find BC in ABC round to the nearest 10th PLEASE ROUND TO THE NEAREST THENTH
Answer:
The measure of angle A is 48.4 degrees
Step-by-step explanation:
To find the measure of angle A, we are going to use the cosine rule
We have this as;
a^2 = b^2 + c^2 - 2bc Cos A
a^2 = 11^2 + 13^2 -2(11)(13) cos A
100 = 121 + 169- 286cos A
286 cos A = 290-100
286 cos A = 190
cos A = 190/286
cos A = 0.6643
A = arc cos 0.6643
A = 48.4 degrees
Can someone help me please
Answer:
51
Step-by-step explanation:
The range is the largest number minus the smallest number
The largest number is 54 and the smallest number is 3
54-3 = 51
is 4.083 rational number
 Jamila earns $14,$11,$20,$15,$20 from babysitting 7 times. Find the interquartile range or IQR
Answer:
I have not done this math in a while but I think it is -8
Step-by-step explanation:
Of a group of 200 workers, 15 are chosen to participate in a survey about the number of miles they drive to work each week. What is the sample size?
A) 200
B) 15
C) 185
D) 0
Answer:
15 works were choosen to be the sample size. that means the answer is B.(BRAINLEST!!!)
Step-by-step explanation:
Ms. Potter bought x number of shirts for the new members of her chorus. The cost for x numbers of shirts, including $6.99 shipping, was $195.99. Each shirt costs $18.25. There was no sales tax on this purchase. Which equation could be used to find x?
Answer:
instead of finding x find an ps4
Step-by-step explanation:
like what
HELP!!! im running out of time
student is selected at random what is the probability the student is a female junior
Answer:
20%
Step-by-step explanation:
total male = 14
total female = 16
total students 30
there are only 6 females that are juniors so the probability of picking one would be 6/30
and 6/30 is equal to 0.2 (divide)
and 0.2 is equal to 20% (move the decimal right two spaces)
its about quartiles
No links
Answer: See the attached image for the answers. I've arranged the tiles in the proper order.
minimum = 2lower quartile = 4second quartile = 8upper quartile = 19maximum = 21This is known as a five number summary.
=========================================================
Explanation:
The first thing to do is to sort the numbers from smallest to largest
You should get this set {2, 4, 7, 8, 16, 19, 21}
The middle most value is 8. So this is the median or the second quartile.
--------------
Split the data set into two lists like so
L = {2,4,7}
U = {16,19,21}
Everything in set L represents the lower set of values smaller than the median. Set U represents the upper set of values larger than the median.
Find the median of sets L and U to get 4 and 19 respectively. These represent the values of Q1 and Q3
Q1 = first quartile = lower quartile = 4
Q3 = third quartile = upper quartile = 19
--------------
As you can probably guess, the min and max are the smallest and largest values of the set. We can see that min = 2 and max = 21.
A ball is launched out of a cannon that is 24 feet off the ground. The height of the ball after "t" seconds is represented by
h(t) = -16t² + 20x + 24
How many seconds will it take for the to reach the ground?
Given:
The height of ball is represented by the below function:
[tex]h(t)=-16t^2+20t+24[/tex]
To find:
The number of seconds it will take to reach the ground.
Solution:
We have,
[tex]h(t)=-16t^2+20t+24[/tex]
At ground level, the height of ball is 0, i.e., [tex]h(t)=0[/tex].
[tex]-16t^2+20t+24=0[/tex]
Taking out greatest common factor.
[tex]-4(4t^2-5t-6)=0[/tex]
[tex]4t^2-5t-6=0[/tex]
Splitting the middle term, we get
[tex]4t^2-8t+3t-6=0[/tex]
[tex]4t(t-2)+3(t-2)=0[/tex]
[tex](t-2)(4t+3)=0[/tex]
Using zero product property, we get
[tex](t-2)=0[/tex] and [tex](4t+3)=0[/tex]
[tex]t=2[/tex] and [tex]t=-\dfrac{3}{4}[/tex]
Time cannot be negative, so [tex]t=2[/tex].
Therefore, the ball will reach the ground after 2 seconds.
Simplify for ez fast points!
Answer:
-81
Step-by-step explanation:
-3 ^4
The negative is not included in the exponent
- (3)^4
- 3*3*3*3
-81
grade 9 maths pls help
Find the zeroes of i) ( x-31) (x+2) ii) 3x +5
Answer:
ok i will help .........
whats the answer to 876 + 17.2638
893.2638
is this what you mean?
This is the question I am gonna write it here pls help Yum-Yum restaurant has just increased the wages they pay their employees. To help afford this,Yum-Yum-Yum must mark up their meals by 12%. If the meal cost 7.99, how much will as meal cost after the markup
Answer:
8.95
Step-by-step explanation:
Convert 12% into a decimal by dividing 12 by 100 to get 0.12. To find 12% of 7.99, multiply it by 0.12. However, since we want to know the total cost of the meal after the markup, an eaiser way is to multiply 7.99 x 1.12 (the 1 represents the original price of meal, since we are adding on to it). This is the more effective way to solve this, but another way would just be to take the result of 7.99 x 0.12 and add it to 7.99.
Note that the actual answer is 8.9488, but I rounded to the nearest hundreth.
If cost price of 10 calculators is equals to selling price of 16 calculators .find profit or loss percentage......... tell me
Answer:
37.5%
Step-by-step explanation:
10 × cost price = 16 × selling price
cost price : selling price = 16 : 10
=8:5
loss % = (3/8)×100
=37.5%
Answer:
It's a loss
Step-by-step explanation:
A township supervisor hopes to improve the current recycling program by having residents separate their recycled
materials by type. For example, glass and plastic materials would be placed into separate recycling containers. To
measure community support for a change to the recycling program, the supervisor visits a busy shopping area and
asks randomly selected residents to respond to the following question: "Do you agree that responsible citizens
would separate their recycled items by type of material?” What type of bias could be present in the survey results
and what is a likely direction of the bias in estimating community support for the change to the recycling program?
This is question wording bias. The survey overestimates community support for change to the recycling program.
This is question wording bias. The survey underestimates community support for change to the recycling
program
This is voluntary response bias. The survey overestimates community support for change to the recycling
program
This is voluntary response bias. The survey underestimates community support for change to the recycling
program
Answer:
B
Step-by-step explanation:
It is necessary and the strategic way to collect the waste materials and separate them by material type before recycling. Hence, this is voluntary response bias. The survey overestimates community support for change to the recycling program.
What is recycling?Recycling is the process regenerating new products from the decomposed materials such as broken plastics, fuel from biowastes, glasses from broken glass parts etc.
Recycling technology is a nature genuine strategy and it helps to reduce the accumulation of wastes on earth surface. Not all people are aware of the significance of this method.
Therefore, the bias possible to be occur for the question is from voluntary response and the survey underestimates community support for change to the recycling program.
To find more on recycling, refer here:
https://brainly.com/question/11861824
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