Answer:
0.005
Step-by-step explanation:
A breakfast cereal producer makes its most popular product by combining just raisins and flakes in each box of cereal. The amounts of flakes in the boxes of this cereal are normally distributed with a mean of 370\,\text{g}370g370, start text, g, end text and a standard deviation of 24\,\text{g}24g24, start text, g, end text. The amounts of raisins are also normally distributed with a mean of 170\,\text{g}170g170, start text, g, end text and a standard deviation of 7\,\text{g}7g7, start text, g, end text.
Let T=T=T, equals the total amount of product in a randomly selected box, and assume that the amounts of flakes and raisins are independent of each other.
Find the probability that the total amount of product is less than 575\,\text{g}575g575, start text, g, end text.
You may round your answer to two decimal places.
P(T<575)\approx
Using the normal distribution, it is found that there is a 0.9192 = 91.92% probability that the total amount of product is less than 575 g.
In a normal distribution 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]
It 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, which is the percentile of X.When two normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.In this problem, the product is composed by flakes and raisins, and we have that:
[tex]\mu_F = 370, \sigma_F = 24, \mu_R = 170, \sigma_R = 7[/tex]
Hence, the distribution for the total amount of product has mean and standard deviation given by:
[tex]\mu = \mu_F + \mu_R = 370 + 170 = 540[/tex]
[tex]\sigma = \sqrt{\sigma_F^2 + \sigma_R^2} = \sqrt{24^2 + 7^2} = 25[/tex]
The probability that the total amount of product is less than 575 g is the p-value of Z when X = 575, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{575 - 540}{25}[/tex]
[tex]Z = 1.4[/tex]
[tex]Z = 1.4[/tex] has a p-value of 0.9192.
0.9192 = 91.92% probability that the total amount of product is less than 575 g.
A similar problem is given at https://brainly.com/question/22934264
Help pls I have no clue what this is
Answer:
b = 76°
Step-by-step explanation:
Angle JIK is the smaller acute angle in one of four congruent right triangles. Angle GHK is the larger acute angle in those triangles, marked as 60°. The sum of the acute angles in a right triangle is 90°, so you have ...
60° +(b-46)° = 90°
14° +b = 90° . . . . . . . simplify
b = 76° . . . . . . . subtract 14°
Complete the table for the provided graph.
135 rational or irrational
Answer:
Rational
Step-by-step explanation:
I hope this helps!
-4√-32
answer it please ok thanks
Answer:
Step-by-step explanation:
4 √(-32) =
22.627417
A school wants to investigate the amount of exercise students do.
There are 1200 students at the school.
a Suggest a sensible number of students to be sampled.
Answer:
100-200 Step-by-step explanation: yes 600 is half the students most of them are going to be in class
Find the volume of a square based pyramid with a base length of 8 m and a height of 14 m.
[tex]V = \frac{1}{3} \times base \: area \: \times height \\ [/tex]
[tex]V = \frac{1}{3} \times {8}^{2} \times 14 \\ [/tex]
[tex]V = \frac{1}{3} \times 64 \times 14 \\ [/tex]
[tex]V = \frac{896}{3} \: \: \: {m}^{3} \\ [/tex]
3^4x-1=15
Need help with this log question
Answer:
x=16/81
Step-by-step explanation:
3^4x-1=15
81x-1=15
81x=15+1
81x+16
divide both sides by 81
x=16/81
a simple random sample of 60 items resulted in a sample mean of 80.
Answer:
(c) The effect of a larger sample size on the margin of error is that the margin of error will increase.
Step-by-step explanation:
An experiment is conducted examining the effects of a new type of toothpaste on reducing cavities. Individuals in the treatment condition are given the new toothpaste; individuals in the control condition are given the standard toothpaste, but are told that they're receiving the new toothpaste. At the end of the experiment, the control group participants demonstrate a slightly higher decline in cavities. This is an example of a(n):____.
a. Wording bias.
b. Voluntary response bias.
c. Over-sampling effect.
d. Placebo effect.
d. Hawthorne effect.
The experimental effect highlighted by the scenario described would most likely be an example of placebo effect.
An observed change in the control group which are being given the placebo would have been triggered due to psychological expectation based on the information given. Hence, this is called the placebo effect. The standard toothpaste was not suppose to cause decline in cavities, however, since the group have been told that they we given the new toothpaste which is said to reduce cavities, this could trigger a psychological change hence causing them to have higher cavity decline.Learn more : https://brainly.com/question/25704508
Which expressions are equivalent to (1/3x+2x−5/3x)−(−1/3x+5) ? Select all correct expressions. −4x+5+3x 5−x 4x−5−3x x−5
Answer:
its x-5 and 4x-5-3x
Step-by-step explanation:
I took the test
Find fraction and a decimal between 0.66 and 3/4 .the fraction and decimal should be two different numbers
Answer:
Step-by-step explanation:
0.66=66/100 3/4=75/100
fraction between
67/100 68/100 69/100 70/100 71/100 72/100 73/100 74/100
or or or or
17/25 7/10 18/25 37/50
decimal between
0.67 0.68 0.69 0.70 0.71 0.72 0.73 0.74
Which could be the first 4 terms of an arithmetic sequence ?
There are 13 books on a shelf. 7 of these books are new. The rest of them are used.
Answer:
6 of them are used books
Step-by-step explanation:
6+7=13. 7 new book and add 6 more book that will be used, it will equal out in addition = 13
12
rectia
14. Ne
10.) Lars has a current annual salary of $38,650.
If he gets a raise of $3,280, what percent is
the raise of his current annual salary? Round
to the nearest whole percent.
(1) 6%
(2) 7%
2 %
8%
(4) 9%
10%
Answer:
3,280/38650 x 100% = 8%
(a) A box contains 7 red balls, 6 white balls, and 7 black balls. Two balls are drawn at random from the box (with replacement of the first before the second is drawn). What is the probability of getting a red ball on the first draw and a white ball on the second
Answer:
Step-by-step explanation:
20=total marbles
7/20 × 6/20= 21/400 or 5.25%
red white
Can someone please help me
Step-by-step explanation:
it will be around $90.86
Answer:
No. of adults who answered 'yes'
= 20% × 1073
= 214.6
Total amount of money paid
= (18%×$77)+$77
= $13.86+$77
= $90.86
PLEASE HELP! I"LL MARK BRAINLIEST!!!!
△ABC is translated left 3 units to form the image ∆A′B′C′.
What are the coordinates of the vertices of ∆A′B′C′ ?
Enter your answer by filling in the boxes.
A′ =
B′ =
C′ =
Answer:
a is -1, -2
b is -1, 2
c is 2, 2
Step-by-step explanation:
i hope i helped
pls answer fast
Write an equation of the line that passes through (0, -5) and is perpendicular to the line y =-4/5x
Answer:
I am pretty sure its y={5}/{4}x-5
Step-by-step explanation:
WILL GIVE BRAINLIEST
(x + 6) in
(3x + 2) in
12 in
The perimeter of this triangle is___in.
Answer:
28 inches
Step-by-step explanation:
To find the value of x you put them into an equation of: (x+6) = (3x+2), this would let you find that x=2, since 2+6 = 6+2. Once you've plugged that in all you need to do is add together all the sides, and since side A and side B are both 8 you do 12+16 to get the perimeter of 28 inches.
The perimeter of a rectangle is 40 inches. If the width of the rectangle is 7 inches, what is the length?
Answer:
l=13in
Step-by-step explanation:
hope this helps
Answer:
13
Step-by-step explanation:
(40-7*2)/2=20-7=13
What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that apply. In addition to the Privileges and Immunities Clause, Article IV, Section 2 includes the
Hello!
-----------------------------------------------------------------------------------------------------------------
2x+5y=10
We want to turn this equation into y=mx+b form:
5y=-2x+10
Divide both sides by 5:
y=-2/5x+2
Now, the equation of the line parallel to it:
Remember, parallel lines have the same slope.
So these two lines have the same slope (-2/5)
Now, use Point-Slope form:
y-y1=m(x-x1)
y=1=-2/5(x-(-5)
y-1=-2/5(x+5)
y-1=-2/5x-2
y=-2/5x-2+1
y=-2/5-1
Hence, this is the required solution. I hope you find it helpful!
~SparklingFlower
--------------------------------------------------------------------------------------------------------------
Need helpPlzzzzzzzzzzzzzzzz
Answer:
2
Step-by-step explanation:
10. If pointer 1 is spun and then pointer 2 is spun, determine the probability of landing on a color other than red on both spins. The probability is (Type an integer or a simplified fraction.)
Answer:
Answer below
Step-by-step explanation:
1/8 is correct
in pic
_________________________________________
(Hope this helps can I pls have brainlist (crown)☺️)
H e l p this is confusing
Answer:
The answer would be 780 miles
Step-by-step explanation:
The reason that that's the answer because since it says that they will average about 65 miles per hour on a 12 hour trip, you have to multiply 65 time 12, which is 780 miles, so
65 miles x 12 hours = 780 miles :)
Hope this helped!
Domain:
Range:
HELP RQ
What is the surface of this shape
Answer:
Find the area of all of the different shapes (2D)
and then add them up together to find the surface area.
3×2
6×2
6×2
5×3
6×3
1×3
1×4
1×4
4×3
Then you add them up together.
6+12+12+15+18+3+4+4+12=ANS.
Is (1,5) a solution to this system of equations?
y=
–
3x+7
y=3x+2
Answer:
no, there is no solution
Step-by-step explanation:
put it in desmos, but the slopes are the same, so they are parallel and never touch. So, no solution.
Help help help help hell
Answer:
m = N - f
Step-by-step explanation:
The original equation:
N = m + f
if we have to solve for m, then we have to isolate it, so subtract f from both the sides and that would be the answer.
Hope this helps!
8.) The grocery store is having a sale on frozen vegetables. 4 bags are being sold for $11.96. At this rate, what is the cost of:
a) 1 bag
b) 9 bags
Answer:
a) $2.99
b) $26.91
Step-by-step explanation:
Since 4 bags cost $11.96, you can find the price of an individual bag by dividing $11.96 by 4.
Since
$11.96 / 4 = $2.99
One bag costs $2.99
To find the price of 9 bags, just multiply 2.99$ by 9:
$2.99 * 9 = $26.91