The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of chips and standard deviation chips.
Required:
a. What is the probability that a randomly selected bag contains between and chocolate chips, inclusive?
b. What is the probability that a randomly selected bag contains fewer than chocolate chips?
c. What proportion of bags contains more than chocolate chips?
d. What is the percentile rank of a bag that contains chocolate chips?
Answer:
Explained below.
Step-by-step explanation:
The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1262 chips and standard deviation 118 chips.
(a)
Compute the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips as follows:
[tex]P(1000<X<1400)=P(\frac{1000-1262}{118}<\frac{X-\mu}{\sigma}<\frac{1400-1262}{118})\\\\=P(-2.22<Z<1.17)\\\\=P(Z<1.17)-P(Z<-2.22)\\\\=0.87900-0.01321\\\\=0.86579\\\\\approx 0.8658[/tex]
Thus, the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips is 0.8658.
(b)
Compute the probability that a randomly selected bag contains fewer than 1000 chocolate chip as follows:
[tex]P(X<1000)=P(\frac{X-\mu}{\sigma}<\frac{1000-1262}{118})\\\\=P(Z<-2.22)\\\\=0.01321\\\\\approx 0.0132[/tex]
Thus, the probability that a randomly selected bag contains fewer than 1000 chocolate chip is 0.0132.
(c)
Compute the proportion of bags that contains more than 1200 chocolate chips as follows:
[tex]P(X>1200)=P(\frac{X-\mu}{\sigma}>\frac{1200-1262}{118})\\\\=P(Z<-0.53)\\\\=0.29806\\\\\approx 0.2981[/tex]
Thus, the proportion of bags that contains more than 1200 chocolate chips is 0.2981.
(d)
Compute the percentile rank of a bag that contains 1125 chocolate chips as follows:
[tex]P(X<1125)=P(\frac{X-\mu}{\sigma}<\frac{1125-1262}{118})\\\\=P(Z<-1.16)\\\\=0.12302\\\\\approx 0.123[/tex]
Thus, the percentile rank of a bag that contains 1125 chocolate chips is 12.3rd.
There are 20 squares and 16 triangles. What is the simplest ratio of triangles to total shapes?
Answer:
4/9
Step-by-step explanation:
20+16= 36 total shapes. 16/36 simplifys to 4/9.
The simplest ratio of triangles to total shapes is 4:7.
Given that the number of squares=20 and the number of triangles=15.
The total number of shapes=20+15=35.
We need to find the simplest ratio of triangles to total shapes.
What is the ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other.
Now, triangles: total shape=20:35
=4:7
Therefore, the simplest ratio of triangles to total shapes is 4:7.
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Could someone help a girl out?
Answer:
x = 19
Step-by-step explanation:
Trapezium area formula: [tex]\frac{a+b}{2} * h[/tex], where a & b are the two bases.
Now, if we plug in our known values, we can solve for the missing base.
[tex]\frac{5 + x}{2} * 4 = 48[/tex]
[tex]\frac{5 + x}{2} = 12\\\\5 + x = 24\\\\x = 19[/tex]
Answer:
Yes I would have to agree with Goliath, x = 19.
Step-by-step explanation:
You can mark Goliath Brainlest if you want they did the answer first.
5. Identify the type and subtype of each of the fol-
lowing problems.
a. Shawn has 15 marbles, which is 7 more mar-
bles than Kyle has. How many marbles does
Kyle have?
b. Tiffany has 12 blocks, 5 of which are cubes
and the rest cylinders. How many blocks are
cylinders?
c. Peter had some carrots. After he ate 3 of
them, he had 14 carrots left. How many car-
rots did Peter have before?
d. In a bag of 17 marbles, 9 marbles belong to
Kelly and the rest belong to Shauntay. How
many marbles belong to Shauntay?
Answer:
a) Kylie has 8 marbles
b) 7 Cylinders
c) 17 carrots
d) 8 marbles belong to Shauntay
Step-by-step explanation:
5. Identify the type and subtype of each of the fol-
lowing problems.
a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?
Shawn = 15 marbles
S = K + 7
15 = K + 7
K = 15 - 7
K = 8 marbles
Kylie has 8 marbles
b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?
T = 12 blocks
Cubes = 5
Cylinders = the rest
12 blocks = Cubes + Cylinders
Cylinders = 12 - Cubes
Cylinders = 12 - 5
Cylinder = 7
c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?
Number of carrots Peter has before
= Number of carrots he ate + Number of carrots he has now
= 14 + 3
= 17 carrots
d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?
Total number of Marbles = 17
Kelly = 9 marbles
Shauntay = ?
Total = Kelly + Shauntay
Shauntay = Total - Kelly's marbles
= ( 17 - 9) marbles
= 8 marbles
8 marbles belong to Shauntay
Answer:
a) Kylie has 8 marbles
b) 7 Cylinders
c) 17 carrots
d) 8 marbles belong to Shauntay
Step-by-step explanation:
5. Identify the type and subtype of each of the fol-
lowing problems.
a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?
Shawn = 15 marbles
S = K + 7
15 = K + 7
K = 15 - 7
K = 8 marbles
Kylie has 8 marbles
b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?
T = 12 blocks
Cubes = 5
Cylinders = the rest
12 blocks = Cubes + Cylinders
Cylinders = 12 - Cubes
Cylinders = 12 - 5
Cylinder = 7
c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?
Number of carrots Peter has before
= Number of carrots he ate + Number of carrots he has now
= 14 + 3
= 17 carrots
d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?
Total number of Marbles = 17
Kelly = 9 marbles
Shauntay = ?
Total = Kelly + Shauntay
Shauntay = Total - Kelly's marbles
= ( 17 - 9) marbles
= 8 marbles
8 marbles belong to Shauntaya) Kylie has 8 marbles
b) 7 Cylinders
c) 17 carrots
d) 8 marbles belong to Shauntay
Step-by-step explanation:
5. Identify the type and subtype of each of the fol-
lowing problems.
a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?
Shawn = 15 marbles
S = K + 7
15 = K + 7
K = 15 - 7
K = 8 marbles
Kylie has 8 marbles
b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?
T = 12 blocks
Cubes = 5
Cylinders = the rest
12 blocks = Cubes + Cylinders
Cylinders = 12 - Cubes
Cylinders = 12 - 5
Cylinder = 7
c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?
Number of carrots Peter has before
= Number of carrots he ate + Number of carrots he has now
= 14 + 3
= 17 carrots
d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?
Total number of Marbles = 17
Kelly = 9 marbles
Shauntay = ?
Total = Kelly + Shauntay
Shauntay = Total - Kelly's marbles
= ( 17 - 9) marbles
= 8 marbles
8 marbles belong to Shauntay
Step-by-step explanation:
Cara deposited $200 dollars into her savings account bringing her balance up to $450.
Which equation can be used to find, x, the savings account balance before the $200 deposit?
Answer:
$250 dollars was the original amount of money before she deposited the extra $200 dollars.
Step-by-step explanation:
450 - 200= $220 dollars
220+200= $420 dollars
220+30= $250 dollars
250+200= $450 dollars
$250 dollars is the total amount of money that was originally deposited into her savings account.
Answer:
x + 200 = 450
Step-by-step explanation:
Since clara deposited $200 into her savings account and it brought her account up to $450, to find the answer you would add "x" with 200 and you should get 450 which means x= 250. we can check our answer by solving : 450-200 and you should get 250 for your answer so the answer is
you had no answer choices so typed it out i have the same question on my test and i knew the answer so i decided to help :D :) <3
A package of markers include three box markers and nine colored markers what percent of the markers in the package are color markers
Answer:
66.666%
Step-by-step explanation:
*that is the actual answer*
*i'm not summoning Satan*
Answer:\ Yes, they are color markers.
Step-by-step explanation:
hope this helps!!
Enter the number that makes the equation true
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Find the measure of each angle indicated.
45°
?
Answer:
? = 45º
Step-by-step explanation:
top right angle = 180-45 = 135º
high middle left angle = 135º
high middle right angle = 45º
low middle left angle = 45º
low middle right angle = 135º
bottom left angle = 135º
bottom right angle = 45º
I need help with 2 questions plzzzzz
1. The two lines represented by the equations below are graphed on a coordinate plane. Which statement best describes the two lines? x + 6y = 12 and 3(x -2) =-y-4 *
The lines are parallel.
The lines are the same line.
The lines are perpendicular.
The lines intersect at an angle other than 90°.
2. Triangle Proof: Which type of triangle can be drawn using the points (-2, 3), (=2, -7), and (4, -5)? Use the distance formula to find the length of each side. *
Scalene
Isosceles
Equilateral
No triangle can be drawn
Answer:
Step-by-step explanation:
1). x + 6y = 12 ⇔ y = [tex]-\frac{1}{6}[/tex] x + 2
3(x - 2) = - y - 4 ⇔ y = - 3x + 2
There is not significant relation between slopes such as:
- "the same" for parallel or the same lines;
- "opposite reciprocals" for perpendicular lines;
Thus, there is only answer option left: "The lines intersect at an angle other than 90°."
2). A(- 2, 3), B(- 2, - 7), C(4, - 5)
AC = [tex]\sqrt{(-2-4)^2 +(3+5)^2}[/tex] = 10
AB = 10
BC = [tex]\sqrt{(-2-4)^2 +(-7+5)^2}[/tex] = 2√10
Triangle is Isosceles.
If $2,500 is invested at 12% annual interest, which is compounded continuously, what is the account balance after 3 years, assuming no additional deposits or withdrawals are made?
Answer: 3,583.32
Step-by-step explanation:
Use money chimp calculator
Wich equation describes this graph?
Answer:
The correct equation for the graph is B.) y = x- 3
Answer:
B
Step-by-step explanation:
the right answer us B is that right
What is the value of the expression?
- 16+ 12
0-28
-4
4
O 28
Five students came for after-school tutoring. Lin’s teacher assigned each of them the same number of problems to complete. Then he assigned each student 2 more problems. 30 problems were assigned in all. with a diagram
9. A kitchen sink holds 24 gallons of water. A full sink drains at 3 gallons per minute. Which of
the following tables best represents the situation?
A.
Х
1
2
3
4
B.
Х
1
2
3
4
Y
24
48
72
96
Y
21
18
15
12
C.
Х
0
2
4
6
D.
Х
1
2
3
4
Y
24
21
18
15
Y
24
21
18
15
Answer:
Umm it has no photo so we can't see the table
Step-by-step explanation:
Umm it has no photo so we can't see the table
Answer: I had the same problem and someone else gave me the answer, the answer is B :>
Name the relationship: complementary, linear pair, vertical, alternate interior, corresponding, or
alternate exterior.
Answer:
Linear pair
Step-by-step explanation:
Angle a and angle b are adjacent angles formed at the point of interception of two straight lines that intersects.
Thus, they are angles formed on a straight line. Angles on a straight line sum up to give 180°, since a straight line angle measures 180°.
Thus, angle a and angle b are regarded as linear pair angles. They are supplementary.
Simplify
92
97
1. 95
2.1/99
3.1/9-5
4. 1/95
Answer:
D : 1/9^5
Step-by-step explanation:
you would first start off by subtracting the powers ( 7-2 ), which gives us 5. That then gives you 9^5, however, 9^5 gives you 59049, and the original problem's answer was 1/59049. When you divide 1 by 9^5, you get 1/59049, which is the same as the original answer.
If the x-values of the table shown above are doubled and the y-values stay the same, it represents the function g(x). Construct the equation for g(x)
Answer:
The maximum value of the table t(x) has a greater maximum value that the graph g(x)
Step-by-step explanation:
Hope this helps :P
I need an answer quick. I am trying to finish this fast.
Answer:
D, m<4 is 137°
Step-by-step explanation:
The answer would be D, because m<4 would be supplementary with the angle that's 43 degrees. Supplementary angles add up to 180, so this could be found through the following equation.
x + 43 = 180
x would represent <4
You would now subtract 43 from both sides.
x = 137
Answer:
D. The m<4 is 137°
Step-by-step explanation:
The rest of the angles are not correct because if you add 142+56 (adjacent angles) or the unknown angles (angle 1 + angle 2), it doesn't equal 180. You can picture it as angle 3 and its adjacent angle (56°) equal to 180 sience there sharing one straight line thus being 180°
1. A machine shop has eight screw machines but only three spaces available in the production area for the machine. In how many different ways can the eight machines be arranged in the three spaces available?
2. A quality control randomly selects two of five parts to test for defects. In a group of five parts, how many combinations of two parts can be selected?
Answer:
a= 336 different ways
b= 10 possible combinations
Step-by-step explanation:
As it is a definite machine and it must have ordered combinations therefore it is a permutation question . So finding 3 out of eight
8 P 3= 336 different ways the eight machines be arranged in the three spaces available.
Since the parts are randomly selected and there is no distinct pattern therefore combinations is used to solve this.
5C2 = 10 possible combinations of two parts can be selected.
Jane gets paid $120 for 8 hours. How much does she get paid an hour?
Answer:
$15 an hour
Step-by-step explanation:
To find this, we divide 120 by 8.
120 ÷ 8 = 15
So Jane gets $15 an hour
I hope this helped, please mark Brainliest, thank you!
Consider these three squares with known area 25, 144,169
Answer:
Step-by-step explanation:
three squares with known area 25, 144,169...
1) area of the square =25
Side ×side=25
Side^2=25
Side=√25
Side =5.
Answer is 5.
2) area of the square =144
Side ×side=144
Side^2=144
Side=√144
Side =12
Answer is 12.
3)area of the square =169
Side ×side=169
Side^2=169
Side=√169
Side =13
Answer is 13.
This is the graph of f(x). What is the value of f(2)?
A. 6
B. 5
C. 2
D. 9
Answer:
D. 9
General Formulas and Concepts:
Alg I
Reading a Cartesian PlaneIdentifying CoordinatesStep-by-step explanation:
The meaning of f(2) is x = 2. The question is asking us to find the y-value when x = 2.
According to the graph, when x = 2, y is somewhere between 8 and 10. The graph looks like it intersects right in the middle of those 2, so the y-value when x = 2 would be 9.
Therefore, f(2) = 9.
Answer:
Step-by-step explanation:
9 is the correct answer
When rounded to the nearest thousand and elephant weight is 5,000 pounds. What is the least amount the elephant could weigh?
Answer:
4500
Step-by-step explanation:
As long as your number isn't less than 500, it will always round up.
The required least weight of the elephant is 4500 pounds.
Given that,
When rounded to the nearest thousand an elephant weight is 5,000 pounds. What is the least amount the elephant could weigh is to be determined.
The process in mathematics to operate and interpret the function or expression to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here, in the question, the rounded value of the elephant is given which is 5000 pounds, the least value that can be round to the nearest hundred is 4500.
Thus, the required least weight of the elephant is 4500 pounds.
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Name 3 the rays in the figure
Answer:
Where is the figure?
Step-by-step explanation:
A ray looks like this though:
I need help with this I will give you 20 points
Solve for x: (5 points)
negative 4 over 3, multiplied by x minus 6 equals negative 26
a
−27
b
−15
c
15
d
27
Answer:
the problem is like that or is showing u how are the equations ?
Six ice cream cones cost $16.50. At this rate, how much do 2 ice cream cones cost?
Answer:
$5.50
Step-by-step explanation:
One icecream cone costs $2.75, so two would cost $5.50.
Answer:
$5.5
Step-by-step explanation:
--Use division
16.50 ÷ 6 = 2.75
--Then multiplication
2.75 x 2 = 5.5
It costs $5.5 to buy 2 ice cream cones.
Help please ... thanks
Solve the equation for m. 7(m+5)=21 m = -2 m = 2 = m= 9
Answer:
I'm thinking it's 9
Step-by-step explanation:
2.1.2 Linear Tables and Graphs (Algebra 1)
The question is on the image below
Answer:
Step-by-step explanation:
1). Let the equation of a line is,
y = mx + b
Here, m = slope of the line
b = y-intercept
From the graph attached,
Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex] = [tex]\frac{1}{4}[/tex]
y-intercept = -2
Equation → y = [tex]\frac{1}{4}x-2[/tex]
2). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{3}{4}[/tex]
y-intercept 'b' = -3
Equation → y = [tex]\frac{3}{4}x-4[/tex]
3). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-5}{0.75}[/tex]
= [tex]-\frac{20}{3}[/tex]
y-intercept = 5
Equation → y = [tex]-\frac{20}{3}+5[/tex]
4). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-2}{4}=-\frac{1}{2}[/tex]
y-intercept = 4
Equation → y = [tex]-\frac{1}{2}x+4[/tex]
5). Since, line is passing through origin (0, 0)
y-intercept = 0
Slope = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{1}{1}[/tex]
Equation → y = x
6). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{1}{4}[/tex]
y-intercept = -4
Equation → y = [tex]\frac{1}{4}x-4[/tex]