Answer:
b
Step-by-step explanation:
A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1. If the distribution is approximately normal, find the probability that there will be fewer than 69 broken pretzels in a run.
Answer:
0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.
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.
A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1.
This means that [tex]\mu = 73.5, \sigma = 5.1[/tex]
Find the probability that there will be fewer than 69 broken pretzels in a run.
This is the p-value of Z when X = 69.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{69 - 73.5}{5.1}[/tex]
[tex]Z = -0.88[/tex]
[tex]Z = -0.88[/tex] has a p-value of 0.1894
0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.
If we attempt to create a square using the tiles that represent the algebraic expression x^2 +bx,
1. How many x-tiles would you add to the length of the x-square tile?
2. How many unit tiles would you need to complete the square?
I dont understand the question
8. 3x + 5 > 16, x is an integer. Find
the smallest value of x.
9514 1404 393
Answer:
4
Step-by-step explanation:
Undo what is done to x.
3x > 11 . . . . . subtract 5
x > 11/3 = 3 2/3 . . . . divide by 3
The smallest value of x is 4.
How to graph 5a-6b=18
Answer:
[tex]a = \frac{ - 6}{5} b + \frac{18}{5} [/tex][tex]b = \frac{ - 5}{6} a + 3[/tex]Step-by-step explanation:
Let's solve for a .
[tex]5a+6b=18[/tex]
Step 1: Add -6b to both sides.
[tex]5a+6b+−6b=18+−6b[/tex]
[tex]5a=−6b+18[/tex]
Step 2: Divide both sides by 5.
[tex] \frac{5a}{5} = \frac{ - 6b + 18}{5} [/tex][tex]a = \frac{ - 6}{5} b + \frac{18}{5} [/tex]Let's solve for b.
[tex]5a+6b=18[/tex]
Step 1: Add -5a to both sides.
[tex]5a+6b+−5a=18+−5a[/tex]
[tex]6b=−5a+18[/tex]
Step 2: Divide both sides by 6.
[tex] \frac{6b}{6} = \frac{ - 5a + 18}{6} [/tex][tex]b = \frac{ - 5}{6} a + 3[/tex]Hope it is helpful....thirty years later the washington monument was finally completed, and the angle of elevation to the top of the monument from the same marker was 70o. to the nearest foot, how many feet were added to the phase 1 structure of the washington monument?
Answer:
Congress immediately tabled its expected contribution of $200,000 to the Society, effectively halting the appropriation. During its tenure, the Know-Nothing Society added only two courses of masonry, or four feet, to the monument using rejected masonry it found on site, increasing the height of the shaft to 156 feet
Step-by-step explanation:
What is the real number of ∞?
Answer:
Infinity is not a real number, its an idea.
Step-by-step explanation:
An idea of something without an end. Infinity cannot be measured. Even these faraway galaxies can't compete with infinity.
Adam borrowed $16,780 at 12.5 percent for 10 years. What is his monthly payment?
A: $240.31
B: $245.83
C: $230.12
D: $229.81
ANSWER:
245.83
Step-by-step explanation:
16,780/100=167.8
167.8 x 1.465= 245.827
Using unitary method, Adam's monthly payment is 245.83 dollar.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Monthly payment with 12.5% interest rate for 10 years per 100 dollar is 1.465 dollar.
Monthly payment with 12.5% interest rate for 10 years per 1 dollar is 0.01465 dollar.
Monthly payment with 12.5% interest rate for 10 years per 16780 dollar is 1.465 * 16780 dollar = 245.83 dollar.
Learn more about unitary method here
https://brainly.com/question/22056199
#SPJ2
4. For his garden, Clay has a mixture of 12
white corn seeds, 24 yellow corn seeds, and
16 bicolor corn seeds. If he reaches for a
seed without looking, what is the probability
that Clay will plant a bicolor corn seed first?
Answer:
I believe about 30.8%
Click on the graph below to create a triangle with vertices at the following points.
(-5,0), (-5,9), (0,9)
I need help! :) +no links please and thank you!
Answer:
Step-by-step explanation:
(14×2)+(14×4)
7×(3+5)
c, e and g
can anyone help with this problem?
Answer:
The numerator factors to
[tex](x + 2)(x - 1)[/tex]
The denomenator factors to
[tex](x + 4)(x - 1)[/tex]
Find the area of each figure. Round to the nearest tenth if necessary.
Answer:
1. semicircle=14.1372mm
parallelogram=40 mm
54.1372 mm^2
2. 180 ft
hope this helps
have a good day :)
Step-by-step explanation:
Robyn can rent an unfurnished apartment for $850 per month. The landlord requires first and last months' rent, plus a security deposit of $350. How much will Robyn have to pay before she can rent this apartment?
Answer:
2,050 dollars is how much she will have to pay
Step-by-step explanation:
if sin= 3/4 what are the values of cos 0 and tan 0
Answer:
Your choice is correct
Step-by-step explanation:
The first choice
HELP ME WITH THIS PLEASE. THANK YOU
Answer:
I think it's 2
Step-by-step explanation:
Answer:
1/11 is correct.
Step-by-step explanation:
You can see that the 3 is spun 2 times, but we need to know how many times he spun in total.
2 + 3 + 2 + 4 + 5 + 2 + 1 + 3 = 22
2/22 = 1/11
Have a nice day!
About 0.34 of the length of a cat is its tail. Write this decimal as a percent.
what is the estamate 1/4 of 16
Answer:
4
Step-by-step explanation:
1/4 of 16 is the same as 16 divided by 4. 16 divided by four is 4.
What is the sum? Complete the equation.
-5 + (20)
Answer: The answer is 15
HOPE THIS HELPS AND HAVE A VERY GOOD DAY
simplify the expression 9n+1/4+6y+4n-4y
Answer: =13n+2y+1/4
Step-by-step explanation: Hope this help :D
Let simplify step by step
9n+1/4+6y+4n-4y
=9n+1/4+6y+4n-4y
combine like terms:
=9n+1/4+6y+4n+-4y =(9n+4n) +(6y+-4y) +(1/4)
=13n+2y+1/4 Hope
∫eˣ²dx find integral show all steps
Answer:
[tex] \int \: e {}^{x {}^{2} } dx \\ y = {e}^{ {x}^{2} } \\ ln(y) = {x}^{2} \\ \frac{dy}{y} = 2xdx \\ dy/2x = {e}^{ {x}^{2} } dx \\ \int \: d( {e}^{ {x}^{2} } ) = \int {e}^{ {x}^{2} } .2xdx \\ \frac{{e}^{ {x}^{2} } }{2x} = \int \: {e}^{ {x}^{2} } dx \\ \int \: {e}^{ {x}^{2} } dx \: = \frac{1}{2x} {e}^{ {x}^{2} } + c[/tex]
sonya got 8 out of 10 questions right on a quiz.she got the same score on a quiz that had 20 questions. how many questions did sonya get right on the second quiz? how many questions did she get wrong on the second quiz?
MUST SHOW WORK
Answer:
Sonya got 16 questions correct.
Step-by-step explanation:
8/10=80%
80%×20=16
(To check)
16/20=80%
Give the coordinates of point D.
A. (-2,-4)
B. (-4,2)
C. (-4,-2)
D. (4, -2)
A sewing class has 185 yards of fabric to make quilts. Each quilt requires 8 yards of fabric. How much fabric will remain after all the quilts are made?
Jared has some birds and dogs in his backyard. He counts a total of 12 heads and 30 legs. How many birds and dogs are in Jared's garden?
Answer:
12, because both dogs and birds only have 12 heads
Lexi is hiking a trail that is 7.5 miles long. She stops to take a break after hiking 3.8 miles of the trail. Which equation can be used to find how many miles, m, Lexi has left to hike
Answer:
7.5 - 3.8 = m
Step-by-step explanation:
The equation can be used to determine the number of miles (m) Lexi has left to hike will be m + 3.8 = 7.5.
What is subtraction?It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.
Lexi is hiking a trail that is 7.5 miles long. She stops to take a break after hiking 3.8 miles of the trail.
Then the equation can be used to determine the number of miles (m) Lexi has left to hike will be
Let m be the number of miles left. Then we have
m + 3.8 = 7.5
Subtract 3.8 on both sides, then we have
m = 3.7
More about the subtraction link is given below.
https://brainly.com/question/4319655
#SPJ2
1. What is the slope of the line through the points (-4, 2) and (—16,-6) PLEASE HELP
Answer:
2/3
(-4, 2) and (-16, -6)
slope = m = (y2 - y1) / (x2 - x1) = (-6 - 2) / (-16 - -4) = -8 / -12 = 2 / 3 = 0.667
I hope you got it right :)
Solve using square roots: (x-6)^2=144
x^2-12x+36-144=0
x^2-12x-108=0
(x-18)(x+6)
X=18,-6
Find five consecutive odd numbers where the sum of the first three numbers is 15 greater than the sum of the final two numbers.
Answer:
the consecutive numbers are: 23, 25, 27, 29, 31.
Step-by-step explanation:
23+25+27 is 75
29+31 is 60
75-60 is 15
The owner of a restaurant wants to collect data to find out the customers' opinions on the variety of appetizers offered on the menu. Which group should she survey to collect the best data? ANSWERRR QUCIKK A.
thirty customers who asked to share their opinions of the appetizers with the chef
B.
fifty randomly selected customers who dined at the restaurant
C.
sixty members of the local community
D.
the first fifty customers who dine at the restaurant without ordering an appetizer
Fifty randomly selected customers who dined at the restaurant will be best to collect the data thus, option (B) is correct.
What is sampling?Sampling is collecting some items in a lot randomly to predict opinions about the lot.
For example; the Selection of goods, selection of people
Sampling is a useful technique because if we do it for all samples then it will take time and cost as well.
As per the given,
To find out the customers' opinions on the variety of appetizers offered on the menu we need to take randomly customers and the customers who dine at the restaurant because if they did not dine then they didn't know the verities.
The random selection gives the exact results.
Hence "Fifty randomly selected customers who dined at the restaurant will be best to collect the data".
To learn more about sampling,
https://brainly.com/question/13287171
#SPJ1
Plz help me well mark brainliest if correct.....?
Answer:
B. 8 x 12
Step-by-step explanation:
First of all, it has an area of 96
So lets find the multiplication pair that equals 96.
10 x 10 = 100 NO
6 x 16 = 96 YES
8 x 12 = 96 YES
Now we have two equations: 8 x 12 and 6 x 16
Perimeter of 40 means:
2(a+b) = 40
Lets input the two equations:
2(8+12) = 2 x 20 = 40
2(6+16) = 2 x 22 = 44
So the dimensions that works is 8 x 12
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K