Answer:
6 batches
Step-by-step explanation:
1/3*6=2 cups of paint.
so they can make 6 batches and have 1 cup of yellow paint left
Burger Queen a popular fast food restaurant among college students has undertaken a study to determine the weights of the hamburgers served in its new location in San Marcos, TX. Half pounders should weigh at least 8 ounces. The weight is assumed to be normally distributed. A sample of 500 hamburgers reveals the average precooked weight to be 8.02 ounces, with a standard deviation of .4 ounce.
1. What is the probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces?
2. What is the probability that a hamburger selected at random with less than 7.52 ounces?
Answer:
1. 0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces
2. 0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.
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.
A sample of 500 hamburgers reveals the average precooked weight to be 8.02 ounces, with a standard deviation of .4 ounce.
This means that [tex]\mu = 8.02, \sigma = 0.4[/tex]
1. What is the probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces?
This is the pvalue of Z when X = 8.02 subtracted by the pvalue of Z when X = 7.76. So
X = 8.02
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{8.02 - 8.02}{0.4}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
X = 7.76
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.76 - 8.02}{0.4}[/tex]
[tex]Z = -0.65[/tex]
[tex]Z = -0.65[/tex] has a pvalue of 0.2578
0.5 - 0.2578 = 0.2422
0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces.
2. What is the probability that a hamburger selected at random with less than 7.52 ounces?
This is the pvalue of Z when X = 7.52. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.52 - 8.02}{0.4}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a pvalue of 0.1056
0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.
This Stem-and-Leaf Plot shows the number of minutes a group of students spent talking on the phone on a particular day. If 33 and 35 are added to the data, which statement will be true?
A. The median will change; the mode will stay the same.
B. The mode will change; the median will stay the same.
C. The median and the mode will both change.
D. The median and the mode will stay the same.
Answer: correct answer is a
Step-by-step explanation:
Please help I need help
Answer:
3
Step-by-step explanation:
just get everything but the h to the other side
divide by b1 + b2
1/2h = A/b1 + b2
then multiply by 2
h = 2A/b1 + b2
Work out the area of a rectangle with base, b = 22mm and perimeter, P = 50mm.
b
The diagram is not drawn to scale.
mm2
Answer: A=22^2
Step-by-step explanation: Hope this helps
The triangle below is a right triangle. What is the length of the missing side? Round your answer to the nearest whole number? A. 8 in.B. 9 in.C. 12 in.D. 80 in.
Answer:
B=9in
Step-by-step explanation:
To find the solution to this problem we will use the Pythagoras theorem.
[tex]c = {a}^{2} + {b}^{2} \\ = \sqrt{ {8}^{2} + {4}^{2} } \\ = 8.944... \\ = 9[/tex]
Answer:
your answer would be 9 in.
Step-by-step explanation:
I hope this makes your day a bit easier!!
HELP THIS IS DUE IN 10 MINUTES!!!!!! Which ratio defines te whenr represents radius, and d represents diameter?
22
d
27
d
2пт
Ο Ο.
2r
d
Answer:
2πr/d
Step-by-step explanation:
Circumference = 2πr
Pi = circumference/diameter
=2πr/d
11. Which value makes the following inequality TRUE? 4 – 8x > 2 11
Answer:
If that number is 211, then any value below -26 will work
what is the answer to this math question 5 less than c is 47
Answer:
Answer = 52
5+47= 52
done
Find x. Please help i’m really struggling
Answer:
35 degrees
Step-by-step explanation:
the 35 degrees in blue and the orange x angle are corresponding angles
Wendy can solve a brain teaser in 15 minutes. When she works with Arby, they can solve in 5 minutes. Which statement is true
Answer:
Wheres the statements?
Step-by-step explanation:
María vende pescado en el mercado modelo ella le ha prestado dinero a Juan 800 soles con el 10% al mes Así mismo le ha prestado dinero a Juana la cantidad de 12000 soles con el 10% al mes cuánto ganará María por los dos préstamos al mes
Answer:
Creo que $1,280
Step-by-step explanation:
12,000+800=12,800
12,800 x 10% =1,280
In the isosceles trapezoid shown, GJ = 5, HI = 9, and GI = 8.6. Determine the length
of HJ.
Answer
8.6
Step-by-step explanation:
Answer:
8.6
Step-by-step explanation:I took the test
Pls HELP THANKS
A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number.
Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the
situation? Check all that apply.
X equals 1/2 Y -3
2X minus Y equals -6
2X minus Y equals -3
X equals 1/2 ( Y -3)
Y equals 10 (X -1)
Answer:
Step-by-step explanation:
Farmer Brown is tilling her field. Farmer Brown tills 2/3 of an acre in 2/7 of an hour. What is Farmer Brown's unit rate of tilling?
Answer:
2 1/3 acres per hour
Step-by-step explanation:
If you divide both numbers by 2, you get 1/3 and 1/7. If 7 makes up an hour, then you multiply 1/3 by 7, which gets you 2.333.. which is equivalent to 2 1/3.
Find a solution to the linear equation y=-2x – 12 by filling in the boxes with a valid value of x and y.
Answer: y= 4
x = 8
Step-by-step explanation:
Lena is asked to write an explicit formula for the graphed geometric sequence.
On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).
What value, written as a decimal, should Lena use as the common ratio?
1.0
1.5
2.5
2.0
Answer:
C
Step-by-step explanation:
I took the quiz and got it right
The common ratio of the geometric sequence is r = 2.5
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the terms of the GP be represented as A
Now , A = 1 , 2.5 , 6.25
where the common ratio = second term / first term
On simplifying , we get
r = 2.5 / 1
r = 2.5
Hence , the common ratio is r = 2.5
To learn more about geometric progression click :
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A population of 250 wild turkeys decreases by 2.2% per year. At the end of 8 years, there will be approximately 209 turkeys in the population. Which function can be used to determine the number of turkeys, y, in this population at the end of t years?
Answer:
b
Step-by-step explanation:
Find several points that are on the graph of the function y = x^2 + 1. Plot the points in a coordinate plane.
Is this a linear function? Explain.
Answer:
Below.
Step-by-step explanation:
Plot following points.
Calculate the point by plugging in values of x into x^2 + 1
for example When x = 0, y = 0^1 + 1 = 1.
So plot plot (0, 1),
Make a table of points to plot:
x -3 -2 -1 0 1 2 3
y 10 5 2 1 2 5 10
When you plot the points you'll see the graph is U shaped.
The function is of second degree (as it contains x^2) so it wont be linear.
Factor: 3.x2 + 7x + 2
Answer:
x= -1/3 and -2
I have made it in above picture
A set of four postcards costs $1.00. Single postcards cost $0.50. What is the least amount of money you
can spend to buy exactly 15 postcards?
Answer: 3 Sets of the 4 post cards and 3 of the single post cart sets.
Step-by-step explanation:
You buy 3 of the 4 post card set becuase that is the most you can get of those to get under 15 post cards.
You would now have 12 postcards now you have to buy 3 of the single set to get to 15 cards
640(3) + 6.25(40) + 8.75(60)
2695
Hope this helps you!
Consecutive angles in a parallelogram
are
A. supplementary
B. convex
C. congruent
D. acute
E parallel
The consecutive angles in a parallelogram are supplementary
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The sum of angles of a parallelogram is 360°
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as ABCD
Now , In a parallelogram, consecutive angles are always supplementary, which means the sum of two consecutive angles is always 180 degrees
This property holds true for all parallelograms
Hence , the consecutive angles are supplementary
To learn more about parallelogram click :
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What is the vector sum of 7, 5 and 13, −5? 20, 0 20, 10 6, 0 6, 10
Answer:
{20, 0}.
Step-by-step explanation:
Answer! If you are a bot don't even answer the question
Answer:
(x-30)/(3x-10)
Step-by-step explanation:
[tex] \frac{(x + 3)(x - 30)}{(x + 3)(3x - 10)} = \\ \frac{x - 30}{3x - 10} [/tex]
HELP PLEASE THANK U
In ΔEFG, the measure of ∠G=90°, the measure of ∠E=6°, and GE = 3.3 feet. Find the length of EF to the nearest tenth of a foot.
Answer:
EF = 3.3 ft
Step-by-step explanation:
cos 6 = 3.3/EF
0.9945 = 3.3/EF
EF = 3.32 ft
Which of the following could not be a value for x?
Answer: its B or D
Step-by-step explanation: please tell if im wrong
Michael has $1,000.95 in his checking account. He is going to spend $472.87 on a new television, and he will spend the rest on speakers that cost $48.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael can buy without spending more money than he has in his account?
A.
$1,000.95 < $48.00x + $1,000.95
B.
$472.87 + $48.00 + x < $1,000.95
C.
$48.00x + $472.87 < $1,000.95
D.
$1,000.95 + $472.87 > $48.00 + x
Answer:
C bc 48 is the cost of sneakers, x is the number of sneakers, that plus the tv has to be less than 1000.95
what is the GCF of 12a and 16ab
Answer:
4a
Step-by-step explanation:
Greatest Common Factor is the largest number that the two terms can be divided by
The largest number that these could be divided by is 4a
12a/4a=3
16ab/4a=4b
4a(3+4b)
I WILL GIVE BRAINLIEST :)
A car repair shop charges an hourly rate plus a pickup and delivery fee. The graph below represents the relationship between the total cost of the repair, including pickup and delivery fee, and the number of hours it takes the shop to complete the repairs.
Answer: I got 50x+$75 but I’m not too sure for the last step
Step-by-step explanation:
Answer:
y=50x+75
Step-by-step explanation:
y=125=225-125 Divide 3-1 (x-1)
y-125=50(x-1)
y=50x-50+125
y=50x+75