Using the normal distribution, it is found that there is a 0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a randomly selected package of honeydew slices.
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 subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.In this problem, for each variable, [tex]\mu_G = 3.25, \sigma_G = 0.91, \mu_H = 4.51, \sigma_H = 2.02[/tex]
For the subtraction, we have that:
[tex]\mu_D = \mu_G - \mu_H = 3.25 - 4.51 = -1.26[/tex]
[tex]\sigma_D = \sqrt{\sigma_G^2 + \sigma_H^2} = \sqrt{0.91^2 + 2.02^2} = 2.2155[/tex]
The probability that a randomly selected package of grapes weighs more than a randomly selected package of honeydew slices is P(D > 0), which is 1 subtracted by the p-value of Z when X = 0.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-1.26)}{2.2155}[/tex]
[tex]Z = 0.57[/tex]
[tex]Z = 0.57[/tex] has a p-value of 0.7157.
1 - 0.715 = 0.284
0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a randomly selected package of honeydew slices.
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Crafts Unlimited sells ribbon by the foot. Serena needs ribbon
for an art project. The cost of the ribbon is 5 feet for $3.00.
Feet of Ribbon 1 5 10 15
Cost (in dollars) $3.00
a. Complete this ratio chart based on the information provided.
b. How many feet of ribbon can Serena buy for $12.00?
c. If Serena needs 17 feet of ribbon, how much will she pay?
How do you know?
The completed ratio chart is provided below:
Feet of Ribbon 1 5 10 15
Cost $0.60 $3 $6 $9
The amount Serena would get if she has $12 is 20 yards.
The amount Serena would pay if she wants 17 feet of the ribbon is $10.20.
The first step is to determine the unit cost of a ribbon.
Unit cost of a ribbon = $3 / 5 = $0.60
The cost of 10 feet of the ribbon = $0.60 x 10 = $6
The cost of 15 feet of the ribbon = $0.60 x 15 = $9
The feet of ribbon Serena can buy if she has $12 = $12 / $0.60 = 20 yards.
The cost of 17 feet of the ribbon = $0.60 x 17 = $10.20
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. Bobignment In what year was the LAWMA Established-
what are the solutions to the system
[tex]10+y=5x+x^2~~~~.....(i)\\\\5x+y =1~~~....(ii)\\\\\text{From (i):}\\\\10+y = 5x +x ^2\\\\\\\implies y = 5x +x ^2 -10\\\\\text{Substitute y in equation (ii):}\\\\5x+5x+x^2-10=1\\\\\implies x^2 + 10x -11 =0\\\\\implies x^2 +11x -x -11=0\\\\\implies x(x+11) -(x+11) =0\\\\\implies (x-1)(x+11) =0\\\\\implies x =1 ~~ \text{or}~~ x = -11\\\\\text{Substitute x =~1 in equation (ii):}\\ \\5+y =1 \implies y =-4[/tex]
[tex]\\\text{Substitute}~ x =-11~ \text{in equation (ii):}\\\\\ 5(-11) + y = 1 \implies y = 1 +55 = 56 \\\\\text{Hence} (x,y) = (-11,56) ~~\text{and}~~ (x,y)=(1,-4)[/tex]
SOMEONE PLEASE HELP ME
Answer:
D
Step-by-step explanation:
0.4 = 4/10 = 2/5
(5 1/4−2 1/2)+(6 2/3−3 1/2) plsss help (real answers)
Answer:
5 11/12. hope this helps
Step-by-step explanation:
Answer:
6
Step-by-step explanation: 5 1/4 - 2/12 = 3 6 2/3 - 3 1/2=3 3+3=6
Someone help me pls
Answer:
-1 = 2(-1 -1) = -4
0 = 2(0-1) = -2
1 = 2(1-1) = 0
2 = 2(2-1) = 2
Step-by-step explanation:
x = the number on the left column
for the middle colum, you need to do 2(x -1)
for the right column, you do : (x - 1) x 2)
For one English test jason correctly answered 22 questions these correct answers gave him a percent score of 50% In total how many questions were on this English test
50 point question Solve quick i will give branliest
Answer:
17
Step-by-step explanation:
x + 100 = 4x + 49
100 - 49 = 3x
3x = 51
x = 17
Each week, Christian earns $x fixing bicycles and receives $10 as his allowance.
To find how much he will earn in total over 2 weeks, Christian calculates the following:
x + 10 + x + 10
What is another way Christian can calculate how much he will earn in total over the 2 weeks?
Drag and drop the equivalent expression in the box.
Answer:
2(x+10)
Step-by-step explanation:
x + 10 + x + 10 is the same as 2 times the expression x + 10
This can be written as 2(x+10)
-Chetan K
Answer: 2(x+10)
Step-by-step explanation:
x + 10 + x + 10 is the same as 2 times the expression x + 10
This can be written as 2(x+10)
Hasan plans to choose a book from a section of the store where everything is 25%
off He writes the expression d 0.25d to find the sale price of the book if the original
price is d dollars.
Bella correctly writes another
expression. 0.75d, that will also find the sale price of the
book if the original price is
I/ dollars,
Use the drop-down menus to explain what each part of Hasan's and Bella's
expressions mean.
Hasan's Expression: d - 0.25d
d: Original price0.25: percent discount 0.25d: amount of discountd - 0.25d: sale price--------------------
Bella's Expression: 0.75d
0.75: percent of original priced: original price0.75d: sale price=============================================
Explanation:
The variable d stands for the original price. The store is offering a 25% sale, which means that Hasan will save 25% of the original price. This means 0.25d represents the amount he saves (aka the discount amount).
For instance, let's say d = 100 is the original price. 25% of this is 0.25d = 25 dollars. So if the book is originally $100, then he saves $25.
As you can probably guess, the 0.75 comes from 1 - 0.25 = 0.75; it indicates that if Hasan saves 25%, then he still has to pay the remaining 75%
Notice how d - 0.25d = 1d - 0.25d = (1-0.25)d = 0.75d which points to the sale price being 75% of the original price d.
Kenny has 8 red shirts, 12 blue shirts, and 10 white shirts in his closet. What is the probability that he would get a white shirt out of the closet?
Answer:
1/3 or 33.33 %
Step-by-step explanation:
this is because there is 30 shirts and all and 10 white. 10/30 is 1/3, or 33.33%
Answer:
likely
If there are 8 red shirts, 12 blue shirts, and 10 white shirts. The answer would be likely
(NO LINKSS PLS)(PLS ANSWER) Rayshawn is making sewing kits. Each kit gets 2 thimbles. the ratio of thimbles to spools of thread in each kit is 2:8, and the ratio of needles to thimbles is 4:2. Which statement below is always true? Explain Your reasoning.
Rayshawn needs half as many needles as spools of thread.
OR
Rayshawn needs 4 fewer needles than spools of thread.
Answer:
864 inches
12*3=36
36*24=864
Step-by-step explanation:
Hope this helps:)
Answer:
12*3=36
36*24=864
Step-by-step explanation:
How many milliliter are in 0.3grams
Answer:
0.3ml
Step-by-step explanation:
0.1 g = 0.1 ml
Help please I’ll give points help help help help
Answer:
my sample ka
Step-by-step explanation:
bigyan mu ako para masagot ko ang tanong nayan.
What function is graphed below?
Cuantos triángulos se pueden construir con un número entero de palillos
Answer:
Step-by-step explanation:
After creating an equilateral triangle using 3 toothpicks, I require 3 more toothpicks to create more 3 equilateral triangles ie.4 triangles it toto.
First place 3 toothpicks end to end on a Horizontal plane to create an equilateral triangle.
THEN erect 3 toothpicks on each corner of the triangles making other ends joined up together in space above the Horizontal plane so as to create another same THREE equilateral triangles. (I am unable to provide a pictorial presentation due to inadequacy of signs & symbols on the keyboard. )
I suppose, you must have visualised the superstructure.
Thanks.
Use a protractor to measure the
angle. Then identify it as either
acute, right, obtuse, or straight.
Name
Size
Answer:
Straight angle 180 degrees
Ellen solved the equation x2−5=59 using the following steps.
Review her work carefully, and then follow the instructions.
Line 1: x2−5=59
Line 2: x2−5+5=59+5
Line 3: x2=64
Line 4: x=8
Which statement identifies a mistake Ellen made, if any?
Answer:
c
Step-by-step explanation:
In Line 4, she forgot to take the negative square root, because squaring both 8 and −8 equals 64.
the number of decimal places after which the decimal expansion of 23 upon 2²*5 will terminate will
Answer:
Given:
⇒ \frac{23}{2^2(5)}
2
2
(5)
23
To Find:
Expansion of the given number = ?
Solution:
⇒ \frac{23}{2^2(5)}
2
2
(5)
23
By opening the squares, we get
⇒ \frac{23}{2\times 2\times 5}
2×2×5
23
⇒ \frac{23}{4\times 5}
4×5
23
⇒ \frac{23}{20}
20
23
⇒ 1.151.15
Instruction
Active
Constructing Parallel Lines through a Given Point
ty
Construct a line through P that is parallel
to the given line by following these steps.
1. Construct a line through points
Q and P
make two pair of line segment of PQ andQP and construct use of a scale and the parallel line give the point name
Which choice is equivalent to the expression below?
5 SQR7-4x SQR7-xSQR7
A. 0
B.-2xSQR7
C.-X^2
D. 5 SQR 7 -5xSQR7
I think is the B, tell me if it's correct OK i'm trying to help
Answer:
5√7-5x√7
Step-by-step explanation:
jessie works in an electronics store and earns a 7.5% commission on every item that she sells. How much commission would she earn for selling a computer that costs $1,580?
Work Shown:
7.5% = (7.5)/100 = 0.075
7.5% of $1580 = 0.075*1580 = 118.50
find the value of the angles marked 'x' and 'y'
Answer:
x=120 y=60
Step-by-step explanation:
Interior angle of a hexagon = 120
Straight line = 180
180-120=60
1
4
3
Time (h)
2
.
3
Cars
Washed
6
9
12
a. Proportional?
b. Equation:
C. Number of hours:
3. Cars washed:
Step-by-step explanation:
Proportional = time/cars washed
= 1/3
no. of hours= 90hours
cars washed = 30 cars washed
Can someone help me on theses?
The zeros of the quadratic function described by the graph below is
7. The zeros of the quadratic function described by the graph below is
1
A. 2,1
B. -2,1
C. 2,-1
D. -2,-1
Answer :CAmana Hagel earns $476 a week. She is married and claims 3 allowances. How much will
be withheld from her weekly paycheck for Federal Income Tax?
Answer:
$158.67
Step-by-step explanation:
pls help (picture) *30 points*
Answer:
perimeter = 36
Step-by-step explanation:
Each diagonal side is the hypotenuse of a right triangle with legs of lengths 6 and 8.
c² = a² + b²
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = √100
c = 10
Each horizontal side measures 8.
perimeter = 8 + 8 + 10 + 10
perimeter = 36
Anne bought an aquarium priced at $44.96. Shipping and handling cost an additional 25%of the price. What was the total cost of the aquarium, including shipping and handling?
HELP ME OUT PLEASE!!
For the formula shown, how many sulfur atoms are represented?
O 1
O 2
O 4
O 6
H₂SO₄ is Sulfuric Acid and the number of atoms Sulfur has is 4 atoms
What is a Chemical Formula?
A chemical formula is a formula that lists the constituent parts of a compound together with their relative proportions. No subscript is used if there is just one atom of a certain kind. A subscript is added to the symbol for an atom if it contains two or more of a certain type of atom.
Given data ,
The chemical is represented as H₂SO₄ which is Sulfuric Acid
Sulfuric acid has 2 atoms of Hydrogen , 1 atom of Sulfur and 4 atoms of Oxygen
As per the chemical formula , we can see that there is no subscript added to the Sulfur S in the chemical formula equation.
Therefore , The number of Sulfur atoms present in H₂SO₄ is 1
Hence , H₂SO₄ has only 1 sulfur atom
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