Answer:
0.9544 = 95.44% probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The firm found that the population mean amount that all smokers spend on cigarettes is $20 and the population standard deviation is $5.
This means that [tex]\mu = 20, \sigma = 5[/tex]
Sample of 100:
This means that [tex]n = 100, s = \frac{5}{\sqrt{100}} = 0.5[/tex]
What is the probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average?
This is the pvalue of Z when X = 21 subtracted by the pvalue of Z when X = 19. So
X = 21
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{21 - 20}{0.5}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
X = 19
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{19 - 20}{0.5}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.9772 - 0.0228 = 0.9544
0.9544 = 95.44% probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average
Laura's Burgers cooks its burgers either well done or medium. Last night, the restaurant served 57 well-done burgers and 3 medium burgers. What percentage of the burgers served were well done?
Answer:
About 95% of the burgers were well done. 57/60 = 95%
1. Find the slope of the line in the graph
Find the volume of the right triangular prism.
A) 120 cubic centimeters
B) 90 cubic centimeters
C) 60 cubic centimeters
D) 150 cubic centimeters
Answer:
A. 120
Step-by-step explanation:
For rhombus GHJK, find m21.
A candy distributor needs to mix a 10% fat-content chocolate with a 60% fat-content chocolate to create
100 kilograms of a 25% fat-content chocolate. How many kilograms of each kind of chocolate must they
use?
Answer: They must mix
Kilograms of the 10% chocolate and
Kilograms of the 60% chocolate.
Answer:
They must mix 70 kilograms of the 10% chocolate and 30 kilograms of the 60% chocolate.
Step-by-step explanation:
Given that a candy distributor needs to mix a 10% fat-content chocolate with a 60% fat-content chocolate to create 100 kilograms of a 25% fat-content chocolate, to determine how many kilograms of each kind of chocolate must they use, the following calculations must be performed:
10 x 0.5 + 60 x 0.5 = 35
10 x 0.6 + 60 x 0.4 = 30
10 x 0.7 + 60 x 0.3 = 25
100 x 0.7 = 70
Thus, they must mix 70 kilograms of the 10% chocolate and 30 kilograms of the 60% chocolate.
A rectangle has a length of 18 11/12 ft and a width of 5 1/2 ft. What is the area?
Answer:
104.04 ft.²
Step-by-step explanation:
length times width
Answer:
104.042
Step-by-step explanation:
area of rectangle=length*width
State the order and type of each transformation of the graph of the function f(x)=1/2[(x+2)^2-9] as compared to the graph of the base function
left 2 units, vertical compression by a factor of 0.5, down 9 units
left 2 units, horizontal stretch by a factor of 2, down 9 units
left 2 units, down 9 units, vertical compression by a factor of 0.5
left 2 units, down 9 units, horizontal stretch by a factor of 2
Answer:
C) left 2 units, down 9 units, vertical compression by a factor of 0.5.
Step-by-step explanation:
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis and if there is a vertical stretch.
Parent Function:
g ( x ) = x 2
Horizontal Shift: Left 2 Units
Down: 9 Units
Vertical Shift: Down 0.5 Units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: Compressed
What is the MEAN for the following set of data?
5, 7, 8, 10, 12, 12
10
7
9
12
Answer:
9
Step-by-step explanation:
Answer:
the answer is 9
Step-by-step explanation:
2. which formula should be used to find the area of the composite shape? A = 4(1/2Xbh) lw B. A=4bh+lw C. a=4bh+lw d. 2bh+bh Please select all that apply.
Answer: the answer is B and D I told the test
Step-by-step explanation:
cual seria 1/10 de $360 pesos
Answer:36 pesos porque 1/10 de 360 es como multiplicar 1/10 por 360
Step-by-step explanation:
4 + 62 + 9 ∙ 3 - 10 asap for brainliest
[tex]215.[/tex]
Step-by-step explanation:
[tex]4 + 62 = 66.[/tex]
[tex]66 + 9 = 75.[/tex]
[tex]75 \times 3 =225.[/tex]
[tex]225 - 10 = 215.[/tex]
2|m-n2|+k3 (if k=-2,m=-7, and n=4)
Answer:
correction = 24
Step-by-step explanation:
2|-7-4*2| + -2 *3
2|-7-4*2| + -6
2|-7-8| + -6
2|-15| + -6
the 15 turn positive because of the |bars|
2x 15 30 - 6
= 24
The price of a carton of eggs at Supermarket A is $2.10. The price of a carton of eggs at Supermarket Bis 40% less than the price at Supermarket A
What is the price of a carton of eggs at Supermarket B?
Can you help me please I’m desperate.
Answer:
The answer would be A, and she can make 15 bows.
Step-by-step explanation:
Answer:
A, C and she can make 15 bows.
hi, i need help with this lol, i'm bad at math
Answer:
-44
Step-by-step explanation:
Since a is -2 and y equals 7 we can plug them both into the expression to get -2 - 6(7) which after simple math results in the answer of -44.
Suppose a family has three children. Find the probability they have at
most one boy. (Enter as a decimal)?
Answer:
33.333333percent or .333333
Step-by-step explanation:
10 is 20% of which number
Answer:
50
Step-by-step explanation:
100/20 = 5
5 x 10 = 50
Line r and m are parallel. Find the value of x.
Answer:
g
Answer:
10x-3=7x+45 corresponding angle
10x-7x=45+3
3x=48
x=48/3=16
value of x is 16.
need help with question 4
Answer:
Perimeter: 18u^2
Area: 18u^2
Step-by-step explanation:
perimeter is just adding all the sides together so 6+3+6+3
area is multiplying length by width so 6•3
both give us 18
hope this helps chu <3
Oldwick High School has a population of 2345
students. A survey showed that 34% of the student
population would like to have hamburgers as a
daily choice for lunch. Which of the following is
closest to 34% of the student population?
A.340 students
B.800 students
C.1,200 students
D.1600 students
Answer:
B
Step-by-step explanation:
To find your answer, simply multiply 2345 by 0.34. As 34% in decimal form is 0.34 and to find the percentage of a number, you must multiply the number with the percentage. When you do so, you get 797.3 exactly which is closest to 800 students, resulting in B being the answer. PS. Hamburgers every day would be disgusting and boring!!!!
A game has 28 white balls and 12 red balls in a bag, and you will randomly select one ball from the bag. If
the selected ball is white, you lose $5. And, if the ball is red, you win $10. What is the expected value of
the game?
Answer:
There are 40 balls in the bag. The probability of selecting a white ball is 28/40, simplified to 7/10. The probability of selecting a red ball is 12/40, simplified to 3/10. You are more likely to get a white ball so you will most likely lose $5.
Step-by-step explanation:
Simplify the following fraction: 12/16
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{SIMPLIFY THE following FRACTION: } \mathsf{\dfrac{12}{16}}[/tex]
[tex]\large\text{FINDING the numerator GCF (Greatest Common Factor)}[/tex]
[tex]\large\text{12: 1,2,3,4,6,12}[/tex]
[tex]\large\text{16: 1, 2, 4, 8, 16}[/tex]
[tex]\large\text{GCF (Greatest Common Factor): 4}[/tex]
[tex]\large\text{So, we will DIVIDE the numerator and the denominator from 4.}\\\bullet\large\text{Numerator}\rightarrow\large\text{\bf TOP NUMBER}\\\bullet\large\text{Denominator}\rightarrow\large\text{\bf BOTTOM NUMBER}[/tex]
[tex]\mathsf{\dfrac{12\div4}{16\div4}}[/tex]
[tex]\mathsf{12 \div 4 = \bf 3}\leftarrow\large\text{NUMERATOR}[/tex]
[tex]\mathsf{16\div 4 = \bf 4}\leftarrow\large\text{DENOMINATOR}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf \dfrac{3}{4}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Please help ! I'll give brainliest as well.
Answer:
390 Millions of bacteria particles by the end of one week.
Step-by-step explanation:
The Bacteria Growth Rate Formula is: ---> N (T) = N (0) * (1 + R) ^tT
N (0) = # of bacteria present during the beginning of the experiment
Variable R= Growth rate
Variable T= Time taken / elapsed.
Substitute the #'s for N (T)
N (0) and T from the given description
We then get the value of variable R.
220 = 20 * (1+R) ^ (24 hrs)
When solving for R, we get R = 0.105074
1 week= (7 x 24 = 168) hrs
We need to plug in the solutions
Therefore
N (168 hours) = 20 * (1+0.105074) ^168
Which is around 390 millions.
So now we know that there will be 390 millions of bacteria particles at the end of 1 week
here are the approximate population of three countries, expressed in scientific notation: panama: 4 x 10^6 ; peru: 3.2 x 10^7 ; thailand: 7 x 10^7. Lin says that more than 20 times as many people live in thailand than in panama. Is this correct
Answer:
No, Lin assumption is wrong
Step-by-step explanation:
Given
Population of panama = 4 x 10^6
population of thailand = 7 x 10^7.
Taking their ratios
thailand/panama = 7x 10^7/4 x 10^6
thailand/panama = 7/4 * 10^7-6}
thailand/panama = 1.75 * 10^1
thailand/panama = 17.5
thailand = 17.5 * panama
Hence the amount of people in thailand is not up to 20times those in panama. Hence Lin assumption is wrong
Using proportions, it is found that the ratio is of 17.5, hence Lin is not correct.
What is a proportion?A proportion is a fraction of a total amount.
In this problem:
Thailand's population is of 7 x 10^7.Panama's population is of 4 x 10^6.The ratio between the populations is given by:
r = 7 x 10^7/(4 x 10^6) = 1.75 x 10^1 = 17.5.
The ratio is of 17.5, hence Lin is not correct.
More can be learned about proportions at https://brainly.com/question/24372153
Alice sells bracelets 10 for $5. How much does 1 bracelet cost?
Answer:
FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"
READ PROMPT
Step-by-step explanation:
Answer:
$2
Step-by-step explanation:
Because Alice sells 10 bracelets for 5 dollars, you have to do 10/5 which is equal to 2. Therefore, 1 bracelet cost $2.
WILL MARK BRAINLIEST WILL REPORT IF U GIVE ME A LINK TO UKNOWN THING
Answer:
I think the answer will be x⩽4
What's the distance between the points (2,4) and (10,-8)?
Answer:14.4222
Step-by-step explanation:
Interior exterior angles triangles
Answer:
The interior angles of a triangle are inside the triangle and add up to 180 degrees. The exterior angles are angles between any side of the triangle, and the line extended from the side. The sum of an exterior angle and its adjacent interior angle is also 180 degrees.
giving brainliest! <3
Find the total surface area of the cylinder below. Round to the nearest tenths place.
Answer:
Step-by-step explanation:
r = 0.9 m
h = 3.6 m
Area of two circle faces combined: 2*π(0.9)^2 = 1.62π
Lateral area = circumference*height = 2π(0.9)(3.6) = 6.48π
Surface Area = 1.62π + 6.48π = 8.1π m sq.
Solve the inequality. 4a < 52
a < 208
a < 56
a < 48
a < 13
4a<52
All you have to do is divide 4 from a and 52.
4a<52
/4 /4
a<13
a<208 √
a<56 √
a<48 √
a<13 X
So the odd one out is a<13
---
hope it helps