Answer:
a) P ( 1100 < X < 1400 ) = 0.755
b) P ( X < 1000 ) = 0.755
c) proportion ( X > 1200 ) = 65.66%
d) 5.87% percentile
Step-by-step explanation:
Solution:-
- Denote a random variable X: The number of chocolate chip in an 18-ounce bag of chocolate chip cookies.
- The RV is normally distributed with the parameters mean ( u ) and standard deviation ( s ) given:
u = 1252
s = 129
- The RV ( X ) follows normal distribution:
X ~ Norm ( 1252 , 129^2 )
a) what is the probability that a randomly selected bag contains between 1100 and 1400 chocolate chips?
- Compute the standard normal values for the limits of required probability using the following pmf for standard normal:
P ( x1 < X < x2 ) = P ( [ x1 - u ] / s < Z < [ x2 - u ] / s )
- Taking the limits x1 = 1100 and x2 = 1400. The standard normal values are:
P ( 1100 < X < 1400 ) = P ( [ 1100 - 1252 ] / 129 < Z < [ 1400 - 1252 ] / 129 )
= P ( - 1.1783 < Z < 1.14728 )
- Use the standard normal tables to determine the required probability defined by the standard values:
P ( -1.1783 < Z < 1.14728 ) = 0.755
Hence,
P ( 1100 < X < 1400 ) = 0.755 ... Answer
b) what is the probability that a randomly selected bag contains fewer than 1000 chocolate chips?
- Compute the standard normal values for the limits of required probability using the following pmf for standard normal:
P ( X < x2 ) = P ( Z < [ x2 - u ] / s )
- Taking the limit x2 = 1000. The standard normal values are:
P ( X < 1000 ) = P ( Z < [ 1000 - 1252 ] / 129 )
= P ( Z < -1.9535 )
- Use the standard normal tables to determine the required probability defined by the standard values:
P ( Z < -1.9535 ) = 0.0254
Hence,
P ( X < 1000 ) = 0.755 ... Answer
(c) what proportion of bags contains more than 1200 chocolate chips?
- Compute the standard normal values for the limits of required probability using the following pmf for standard normal:
P ( X > x1 ) = P ( Z > [ x1 - u ] / s )
- Taking the limit x1 = 1200. The standard normal values are:
P ( X > 1200 ) = P ( Z > [ 1200 - 1252 ] / 129 )
= P ( Z > 0.4031 )
- Use the standard normal tables to determine the required probability defined by the standard values:
P ( Z > 0.4031 ) = 0.6566
Hence,
proportion of X > 1200 = P ( X > 1200 )*100 = 65.66% ... Answer
d) what is the percentile rank of a bag that contains 1050 chocolate chips?
- The percentile rank is defined by the proportion of chocolate less than the desired value.
- Compute the standard normal values for the limits of required probability using the following pmf for standard normal:
P ( X < x2 ) = P ( Z < [ x2 - u ] / s )
- Taking the limit x2 = 1050. The standard normal values are:
P ( X < 1050 ) = P ( Z < [ 1050 - 1252 ] / 129 )
= P ( Z < 1.5659 )
- Use the standard normal tables to determine the required probability defined by the standard values:
P ( Z < 1.5659 ) = 0.0587
Hence,
Rank = proportion of X < 1050 = P ( X < 1050 )*100
= 0.0587*100 %
= 5.87 % ... Answer
What is the slope of the line that passes through the points (22,-4)(−3,-9)? Write your answer in simplest form.
Answer:
1/5
Step-by-step explanation:
We can find the slope of a line passing through two points by using the following
m = (y2-y1)/(x2-x1)
= (-9 - -4)/(-3 - 22)
= (-9+4)/(-25)
= -5/ -25
= 1/5
The slope of the line that passes through the points (22,-4) and (−3,-9) is calculated using the formula for slope. When calculated, the slope is found to be 1/5
Explanation:The slope of a line passing through two given points can be calculated using the formula: m = (y2 - y1) / (x2 - x1). Here, (x1, y1) and (x2, y2) are the coordinates of the two points.
In the given question, the points are (22,-4) and (−3,-9). When the values are entered into the formula, we obtain:
m = (-9 - (-4)) / (-3 - 22) = -5 / -25 = 1/5
So, the slope of the line passing through the points (22,-4) and (−3,-9) is 1/5.
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You roll a number cube one time
What is the probability of not rolling a number more than 62 Write your
answer as a fraction.
Answer:
6/6 or 1/1
Step-by-step explanation:
A standard number cube has 6 sides to it. Therefore there are 6 possibilities, as you can roll either a 1, 2, 3, 4, 5, or 6.
The question is asking what the probability is for not rolling a number more than 62. To reword the question to get rid of the confusing 'not', "What is the probability of rolling a number less than 62?"
All the possibilities on the dice are less than 62, therefore it is guaranteed you will not roll a number more than 62. The probability is 1, or written as a fraction 1/1, or 6/6, since 6 sides of the 6 sided cube are less than 62.
a web music store offers two versions of a popular song. the size of the standard version is 2.9 megabytes (MB). the size of the high-quality version is 4.8 MB. yesterday, the high-quality version was downloaded four times as often as the standard version. The total size downloaded for the two versions was 6188 MB. How many downloads of the standard version were there?
Answer:
280 downloads
Step-by-step explanation:
-let x denote the number of standard version downloads.
-Given that the high-quality version was downloaded four times as often as the standard version it is denoted as 4x
-This can then be expressed as:
[tex]x(2.9)+4x(4.8)=6188\\\\2.9x+19.2x=6188\\\\22.10x=6188\\\\x=280[/tex]
Hence, the number of standard version downloads is 280
The side lengths of a triangle are 12, 15, and 10 square root 3. Classify the triangle.
Answer: Scaline?
Step-by-step explanation:
The triangle having sides 12, 15 and 10√3 is a Scalene type triangle.
Thus, the triangle having sides 12, 15, and 10√3 is a Scalene type triangle.
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To divide 14 2/3 divide by 2 3/4, Erik multiplied 14 2/3 times 4/3. Explain Erik's error.
Answer:
Erik should have divided 14 2/3 by 2 3/4, but instead he multiplied causing him to have a greater answer than 5 and 1/3
(give brainliest please)
After the outbreak of a mysterious disease the average wait time at a hospital increased by 70% before the outbreak the average wait time at the hospital was m minutes
Answer:
1.7m
Step-by-step explanation:
Given that 'm' was the waiting time before the outbreak
After the outbreak, waiting time increased by 70%.
This implies that :
70% of m increase
m + 70% of m
m + 70/100 of m
m + ( 70÷100 ) × m
m + 0.7m
= 1.7m
A right triangle has legs with lengths equal to 10inches and 9x inches. It’s hypotenuse measures (x+10) inches.
What is the approximate value of the hypotenuse?
Answer:
the answer is 10.25
Step-by-step explanation:
Answer:
the approximate value of the hypotenuse is 10.25 seconds
Step-by-step explanation:
Multiply (x−3)(x+2)
We FOIL, multiply firsts, outers, inners and lasts, and add them all up.
(x-3)(x+2) = x·x + 2x - 3x + (-3)(2) = x² - x - 6
Answer: x² - x - 6
Answer:
x^2 - x - 6
Step-by-step explanation:
(x - 3) (x + 2)
you can use the distributive property and multiplyfirst, you multiply the first x by the second x.that would be x^2.then, you multiply the first x by 2.which is 2x. by now you should have x^2 + 2x.now, you multiply -3 by the second x. this equals -3x.now, you have x^2 + 2x - 3x.next, you multiply -3 by +2.this would result in -6.now combine all of the solutions you got and you should have:x^2 + 2x - 3x - 6the last step is to combine like terms.x^2 is an only term, so leave that alone.+2x and -3x are like terms. so, you want to add these.that would remain as x^2 - xnow, -6 is an only term as well. so, just leave that in the end.in conclusion, your answer is x^2 - x - 6HELP ME ASAP PLEASE!!!WILL MARK BRAINLIEST!!!
What’s x?
#3 only. But if u wanna do #5 then go ahead lol
Answer:
x=10.85
Step-by-step explanation:
you add 85 and 31 equaling 116.
13x-21=116
+21 =+21
13x=137
13x= 13x
x=10.85
PLZ HELP RIGHT NOW PLZ I WILL MARK BRAINLIEST I BEG NO SILLY ANWSER =(
anwser plz
1. 7(3-3x)=84 what is x
2. -7(-4-3m)=112 what is m
3.-182=7(2b-8)+7b what is b
4. -101 = -5(8x-5) -6 what is x
Answer:
1. x=-3
2. m=4
3. -6=b
4. x=3
Step-by-step explanation:
1. 7(3-3x)=84 what is x
- Distribute the 7 using distributive property, which will give you 21-21x=84.
- Add 21 to both sides to aim to isolate the x variable, which will give you -23x=63.
- Divide both sides by the coefficient of x, -23, to finally get x by itself: x=-3
2. -7(-4-3m)=112 what is m
- Distribute the -7 using distributive property, which will give you 28+21m=112. Be wary of negatives.
- Subtract 28 to both sides, which will give you 21m=84.
- Divide both sides by 21 (the coefficient of m) to get m by itself: m=4
3.-182=7(2b-8)+7b what is b
- Distribute the 7 using distributive property, which will give you -182=14b-56+7b
- Add like terms to get -182=21b-56.
- Add both sides by 56, which will get you -126=21b.
- Divide both sides by the coefficient of b, 21, to get b by itself: -6=b
4. -101 = -5(8x-5) -6 what is x
- Distribute the -5 using distributive property, which will give you -101=-40x+25-6. Beware of negatives.
- Add like terms to get -101=-40x+19.
- Subtract both sides by 19 to get -120=-40x.
- Divide both sides by 40 (the coefficient of x) to get 3=x.
Hope this helps!
A target survey found that 4 out of 5 customers who entered the store made a purchase. If this store recorded 22,853 purchased last week, estimate the number of customers who entered the store
In simplest terms what is the answer to 1/8added to 1/6
Answer:
7/24
Step-by-step explanation:
1/8 added to 1/6
means 1/8 plus 1/6
1/8 = 3/24,
1/6= 4/24
3/24 + 4/24 = 7/24
Answer:
7/24
Step-by-step explanation:
1/8+1/6
=(1*6)+(1*8)
------------------divide
8*6
=14/48
14/2
--------
48/2
=7/24
im sorry the math is weird my key board is small on this computer and i can only do so much but i hope that this helps you and you can do good in online school and happy quarantine stay home if you can to stop the spread of corona and help open the world again:)
A group of students is timed while sprinting 100 meters. Each student’s speed can be found by dividing 100 m by their time. Is each statement true or false? Explain your reasoning.
Speed is a function of time.
Time is a function of distance.
Speed is a function of number of students racing.
Time is a function of speed.
Answer:
True
Step-by-step explanation:
since, S= D/T the distance traveled would only be 100m, it is a consatnt variable dividing it with the time it takes to reach that distance would be its speed. Unless there is an acceleration happening in that process the speed would change depending on the situation.
Final answer:
Speed is a function of time and time is a function of speed, with these relationships demonstrated through the equations speed = distance/time and time = distance/speed. The number of students racing does not affect an individual's speed.
Explanation:
A student asked several questions related to speed, distance, and time while analyzing a 100-meter sprint. To address these questions, we will look at the relationships between these quantities.
Speed is a function of time: True. Speed can be calculated as the distance traveled divided by the time it took, so if you know the time, you can calculate the speed using the equation speed = distance/time.
Time is a function of distance: False. Time can be a function of speed and distance (time = distance/speed), but this question does not provide information indicating that time is directly dependent on distance alone.
Speed is a function of the number of students racing: False. The speed of a student is independent of the number of students racing; it is determined by the individual's performance (distance/time).
Time is a function of speed: True. Given a constant distance, time can be calculated by dividing the distance by the speed (time = distance/speed).
The graph of the function f(x) = –(x + 6)(x + 2) is shown below.
Which statement about the function is true?
a) The function is increasing for all real values of x where
x < –4.
b) The function is increasing for all real values of x where
–6 < x < –2.
c) The function is decreasing for all real values of x where
x < –6 and where x > –2.
d) The function is decreasing for all real values of x where
x < –4.
Answer:
its A
Step-by-step explanation:
i got i right
What type of transformation maps AQRS to AQ'R'S'?
O
O
dilation
reflection
O
O
rotation
translation
The type of transformation maps AQRS to AQ'R'S' is rotation.
The following information should be considered;
A rotation is a type of transformation that takes each point in a figure and rotates it a specific number of degrees. The result of a rotation represent a new figure, called the image. The image is congruent to the original figure.Learn more: https://brainly.com/question/4626564?referrer=searchResults
The City Zoo has different admission prices for adults and children. When three adults and two children went to the zoo, the bill was $77.50. If two adults and three children got in for $70.00 then what is the price of an adult's ticket and what is the price of a child's ticket?
Answer:
The price of an adult's ticket is $18.5 and price of a child's ticket is $11.
Step-by-step explanation:
We are given the following in the question:
Let x dollars be the cost of an adult's ticket and y dollars be the cost of a child's ticket.
The cost of three adults and two children tickets is $77.50
Thus, we can write the equation:
[tex]3x + 2y = 77.50[/tex]
The cost of two adults and three children tickets is $70.00
Thus, we can write the equation:
[tex]2x+3y = 70[/tex]
Solving the two equations, we get
[tex]6x+4y-(6x+9y) = 155-210\\\Rightarrow -5y = -55\\\Rightarrow y = 11\\\Rightarrow 2x + 33 = 70\\\Rightarrow x = 18.5[/tex]
Thus, the price of an adult's ticket is $18.5 and price of a child's ticket is $11.
In AABC, the measure of A is 108° and the
measure of B is 38° . What is the measure of
C?
Answer:
Should be 34
Step-by-step explanation:
Answer:
∠C=34
Step-by-step explanation:
The interior angles of a triangle add to 180 degrees, so
∠A +∠B+ ∠C=180
We know that ∠A is 108, and ∠B is 38, so we can substitute them in
108+38+∠C=180
Combine like terms by adding 108 and 38
146+∠C=180
Subtract 146 from both sides
∠C=34
What 4 out 100 in percent
Answer:
4%
Step-by-step explanation:
Answer:
4%
Step-by-step explanation:
How much is 4 out of 100 written as a percentage? Convert fraction (ratio) 4 / 100
Colin rolls a fair dice and flips a fair coin.
What is the probability of obtaining a 3 and a tail?
Give your answer in its simplest form.
The probability of Colin getting a 3 on a die and a tail on a coin simultaneously is 1/12, obtained by multiplying the individual probabilities (1/6 for the die and 1/2 for the coin).
Explanation:The probability of obtaining a 3 when rolling a fair dice is 1/6, since a dice has 6 sides and only one of them is a 3. Similarly, the probability of obtaining a tail when flipping a fair coin is 1/2, because a coin has 2 sides, heads and tails.
The probability of both events happening (rolling a 3 and flipping a tail) is the multiplication of their individual probabilities. Hence, the probability is 1/6 times 1/2 equals 1/12.
So, the final simplified form of the probability of Colin rolling a 3 on a die and flipping a tail on a coin, according to the rules of probability, is 1/12.
To find the probability of rolling a 3 and flipping a tail, we need to determine the probability of rolling a 3 on the dice and the probability of flipping a tail on the coin, and then multiply these probabilities together. A fair dice has 6 equally likely outcomes, so the probability of rolling a 3 is 1/6. Similarly, a fair coin has 2 equally likely outcomes, so the probability of flipping a tail is 1/2. Multiplying these probabilities gives us (1/6) * (1/2) = 1/12. Therefore, the probability of obtaining a 3 and a tail is 1/12 in its simplest form.
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how do u solve quadratic equations
Answer:
[tex]\frac{ -b+/-\sqrt{b^2-4ac} }{2a}[/tex]
Step-by-step explanation:
1) the equation listed above is the quadratic formula! you can solve ANY quadratic equation with it
quadratic equations in the form of:
ax^2+bx+c
just substitute a,b,and c for the numbers in the quadratic equation!
2)factoring:
my 2nd favorite method:
your equation will be in the form of:
ax^2+bx+c
where you need to find:
what*what=c
and
what+what=b
once you find those two things out then substitute those numbers in place of "b"
for example:
x^2+7x+10
factors of 10: 5,2 10,1 -2,-5 -10,-1
factors of 10 that=7
5,2
so
x^2+5x+2x+10
now group this equation:
group a) x^2+5x
group b) 2x+10
gcf of group a) x
so
x(x+5)
group b) gcf:2
so
2(x+5)
combine the numbers outside the parantheses:
(x+2)(x+5)=0
x+2=0
x=-2
x+5=0
x=-5
hence x=-2,-5
hope this helps!
2.plz answer question with explanation
The population of a town is increasing at a rate of 2.8% per year. In 2001 the town had a population of 34,229. Find the population of the town in 2013
Answer:
The population of the town in 2013 is 47,677. (to the nearest whole number)
Step-by-step explanation:
To calculate this, we will compare the increase to the increase of the present value of an amount of money invested in 2001, increasing at an annual percentage rate of 2.8%, to yield the future value worth a certain amount in 2013. To calculate, the formula below is used:
FV = [tex]PV ( 1 + \frac{i}{n}) ^{n*t}[/tex]
where:
FV = Future Value = ???
PV = present value = 34,229
i = interest in decimal = 2.8% = 0.028
n = frequency of compounding period per year = 1
t = number of compounding years = 2001 to 2013 = 12 years.
FV = [tex]34,229(1+\frac{0.028}{1} )^{(1*12)}[/tex]
FV = 34,229 × (1.028)¹²
FV = 47,677.29 = 47,677 (to the nearest whole number)
Please Help Me!! I can’t figure this out!!
Answer:
a=12 ft, b=12 ft
Step-by-step explanation:
-Length A and length B are equal since the right angle triangle is also an isosceles triangle.
-We use the Law of sines to calculate the two lengths:
[tex]\frac{a}{Sin \ A}=\frac{b}{Sin \ B}=\frac{12\sqrt{2}}{Sin\ 90\textdegree}\\\\a=b=12\sqrt{2} \ Sin \ 45\textdegree\\\\a=b=12\ ft[/tex]
Hence, length a is equal to length b which is equal to 12 ft
What is the range of y = sin θ
A. [-1, 1]
B. [0, infinite]
C. all real numbers
D. 2pi
Answer:
A
Step-by-step explanation:
range is the possible y values
sin x and cos x parent graphs all have range from [-1, 1].
factors a, b, c, d affect the graph of asin(bx+c)+d
since a and b = 1 and c and d = 0, the range is default [-1,1]
What nationality were the terrorists that blew up the Alfred P. Murrah Federal
Building in Oklahoma City?
A.Sudanese
B.Saudi Arabian
C.Syrian
D.American
which number doesn't belong?
9 16 25
43
Answer:
43
Step-by-step explanation:
Square root of 9 is 3
Square root of 16 is 4
Square root of 25 is 5
Square root of 43 is not a whole number.
Answer:
43
Step-by-step explanation:
The first three numbers are perfect squares:
9 = 3²
16 = 4²
25 = 5²
43 is not a perfect square.
Find the unknown side length, x. Write your answer in simplest radical form.
A. 24
B. 4 √ 37
C. 2 √ 154
D. 5 √ 117
PLEASE HELP!!
Answer:
b
Step-by-step explanation: i just took the test and B. is the correct answer
Answer:
(B) 4/37 is correct
Step-by-step explanation:
I got it correct on edge
Fred sold half of his comic books and then bought 7 more. He now has
11. How many did he begin with ?
Answer:
8
Step-by-step explanation:
11-7=4
4x2=8
answer=8
He has 8 comic books before he sold any of his comic books.
Barbara has a bag that contains 8 blue coins and 2 red coins. She removes one coin at random, records the color, then places it back in the bag. She does this 50 times. She finds that P(blue) = 37/50. If Barbara does 100 trials of this experiment, how many blue coins could she expect to get?
Answer:
74
Step-by-step explanation:
37/50 * 100 = 74
Answer:
Step-by-step explanation:
Help due today pleas
Answer:
Cylinder A: 603.508
Cylinder B: 602.88
Step-by-step explanation:
Cylinder A:
V=[tex]\pi[/tex][tex]r^{2}[/tex]h
v=[tex]6.2^{2}[/tex]*5*3.14
V=38.44*5*3.14
V=192.2*3.14
V=603.508
Cylinder B:
V=[tex]\pi[/tex][tex]r^{2}[/tex]h
V=[tex]4^{2}[/tex]*12*3.14
V=16*12*3.14
V=192*3.14
V=602.88