Answer:
(a) [tex]\bar x= 1.583[/tex] -- Population Mean
(b) [tex]s = 1.032[/tex] --- Population standard deviation
(c) See Explanation
Step-by-step explanation:
Given:
Cigarette tax for 20 regions
Solving (a): The population mean
This is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\sum x = 1.36 + 1.70 + 2.50 + 0.45 + 1.18 + 0.64 + 3.46 + 0.57 + 2.00 + 0.80 + 1.60 +0.98 + 0.36 + 2.24 + 4.35 + 0.62 + 2.70 + 1.78 + 1.53 + 0.84[/tex]
[tex]\sum x = 31.66[/tex]
[tex]n = 20[/tex]
So, we have:
[tex]\bar x= \frac{31.66}{20}[/tex]
[tex]\bar x= 1.583[/tex]
Solving (b): The population standard deviation
This is calculated as:
[tex]s = \sqrt{\frac{\sum( x - \bar x)^2}{n}[/tex]
[tex]\sum (x -\bar x)^2 = (1.36 - 1.583)^2 + (1.70 - 1.583)^2+ (2.50 - 1.583)^2+ (0.45 - 1.583)^2+ (1.18 - 1.583)^2+ (0.64 - 1.583)^2+ (3.46 - 1.583)^2+ (0.57 - 1.583)^2+ (2.00 - 1.583)^2+ (0.80 - 1.583)^2+ (1.60 - 1.583)^2+(0.98 - 1.583)^2+ (0.36 - 1.583)^2+ (2.24 - 1.583)^2+ (4.35 - 1.583)^2+ (0.62 - 1.583)^2+ (2.70 - 1.583)^2+ (1.78 - 1.583)^2+ (1.53 - 1.583)^2+ (0.84- 1.583)^2[/tex]
[tex]\sum (x -\bar x)^2 = 21.29222[/tex]
So:
[tex]s = \sqrt{\frac{21.2922}{20}[/tex]
[tex]s = \sqrt{1.06461}[/tex]
[tex]s = 1.032[/tex]
Solving (c):
Population mean tells the average amount while the standard deviation represents the spread from the calculated mean
Option (4) is correct
Screen printing a batch of shirts requires 1 minute per shirt in addition to 6.07 minutes of initial setup time. If it takes 13.07 minutes to screen-print a batch of shirts, how many shirts are in the, batch?
Answer:
7
Step-by-step explanation:
13.07 minus 6.07 is 7
7 divided by 1 is 7
ans is 7
Ypu deposit $200 in an account that earns 4% simple interest. How much interest did you earn in 3 years?
Answer:
$1200
Step-by-step explanation:
we know that,
I=PTR/100=200*4*3/100=100*4*3=400*3=$1200
Answer:
1,200
Step-by-step explanation:
Find 30% of 70 whats your right one
Answer:
21
Step-by-step explanation:
I hope this helps!
10.In an experiment , the approximate population P of a bacteria colony is given by P = 15t ^ (5/3) , where t is the number of days start of the experiment . Find the population of the colony on the 8th day .
Answer:
Step-by-step explanation:
15×8^(5/3) = 15×∛8^5 = 15×2^5 = 15×32 = 480
Population after 8 days is 480
Population after 8 days is 480.
What is exponential function?The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.
here, we have,
given that,
the approximate population P of a bacteria colony is given by
P = 15t ^ (5/3)
where t is the number of days start of the experiment .
now,
the population of the colony on the 8th day is,
15×8^(5/3)
= 15×∛8^5 ]
= 15×2^5
= 15×32
= 480
hence, Population after 8 days is 480.
To learn more on exponential function click:
https://brainly.com/question/14355665
#SPJ2
Multiplying 3 2/4 x 1 1/3 in mixed numbers
Bob bought 24 hockey tickets for 83$
Answer:
i think the answer is $3.45
Step-by-step explanation:
just had to divide the two numbers
Line A is parallel to Line B
9. In the diagram, what is the value of x?
A. 78°
B. 108°
C. 98°
D. 82
Answer:
D or A
Step-by-step explanation:
−3x−8y=−8
y=2−x
yes or no
Answer:
No
Step-by-step explanation:
-3x-8y=-8
3x+8y=8 (multiply all terms by -1)
8y=8-3x (take 3x from both sides)
y=1-(3/8)x (divide each term by 8)
1-(3/8)x ≠ 2-x
Mika rides his bike 3 miles each way to his friend's house. He leaves his house at 4 p.m. How many miles does he ride his bike there and back? What information is extra?
Answer: Mika rides his bike for 6 miles to his friend's house and back. The extra information is when the problem says "He leaves his house at 4 p.m." since we are talking about distance, not time.
Step-by-step explanation:
Find the value of x. I WILL GIVE 100 POINTS ANSWER QUICK!
Answer:0.714 not sure exactly if i need to simplify, mullitiply, or divide.
Step-by-step explanation:
1. Which numerical expression has the value of 60?
4. (12+ 4) 3 b. 12 - 14 - 3) c.** 12 + 3)
d. 12 - 4-3
Answer:
sorry but I can't really tell if any of them have 60 it kind of looks like none of them have 60 unless theres a bit multiplying then maybe I can help but other wise right no sorry
An urn contains 4 white balls and 6 red balls. A second urn contains 7 white balls and 3 red balls. An urn is selected, and the probability of selecting the first urn is 0.8. A ball is drawn from the selected urn and replaced. Then another ball is drawn and replaced from the same urn. If both balls are white, what are the following probabilities?
a. the probability that the urn selected was the first one
b. the probability that the urn selected was the second one
Answer:
a) 0.5664 = 56.64% probability that the urn selected was the first one.
b) 0.4336 = 43.36% probability that the urn selected was the second one
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
If both balls are white, what are the following probabilities?
This means that event A is both balls being white.
Probability of both balls being white:
0.8 probability of 4/10 = 0.4 squared(first urn, which each time the ball is drawn will have 4 white balls and 6 red)
1 - 0.8 = 0.2 probability of 7/10 = 0.07 squared(second urn). So
[tex]P(A) = 0.8*(0.4)^2 + 0.2*(0.7)^2 = 0.226[/tex]
a. the probability that the urn selected was the first one
Event B: First urn selected.
The intersection of events A and B is given by both balls being white and selected from the first urn, which has the following probability:
[tex]P(A \cap B) = 0.8*(0.4)^2 = 0.128[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.128}{0.226} = 0.5664[/tex]
0.5664 = 56.64% probability that the urn selected was the first one
b. the probability that the urn selected was the second one
The intersection of events A and B is given by both balls being white and selected from the second urn, which has the following probability:
[tex]P(A \cap B) = 0.2*(0.7)^2 = 0.098[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.098}{0.226} = 0.4336[/tex]
0.4336 = 43.36% probability that the urn selected was the second one
Evaluate the following: a. 4|−8| b. 2|−3| + 4(7) c. 8|−2| − 6 d. 5|−4| + 2|−6|
Step-by-step explanation:
a. 4×|-8| = 4×8 =32
b. 2×3+4×7= 6+28 = 34
c. 8×2-6 = 10
d. 5×4+2×6 = 32
Find the midpoint of the line segment with the endpoints (-6,-8) and (-2,-6)
Answer:
Step-by-step explanation:
The midpoint between two points is just the average of the coordinates.
mp=((x2+x1)/2, (y2+y1)/2)
mp=((-6-2)/2, (-8-6)/2)
mp=(-4, -7)
write the supplement of : (x+ 35)^0.
please tell fast
Answer:
179
Step-by-step explanation:
(x+35)^0=1
supplement=
180-1
179
What are the next three terms in the sequence -27, -19, -11, -3, 5, ...?
A. 13, 21, 29
B. 22, 29, 36
C. 15, 22, 29
D. 8, 15, 22
Answer:
13, 21, 29
Step-by-step explanation:
the difference is 8
so add 8 to last numbers
Answer:
A
Step-by-step explanation:
u subtract each number by 8 then once u get to 5 u start adding them all by 8
Help me pls I don't know what I'm doing
Answer:
B. 3.6
Step-by-step explanation:
I have no idea if this is right but my logic is 3.6 - 3.6 = 0
Answer:
B. 3.6
Step-by-step explanation:
The equation is
w - 3.6 = 0
That means start with some number. Then subtract 3.6 from that number. The result is 0. What number is it that when you subtract 3.6 from it you get 0? That number is 3.6 since 3.6 - 3.6 = 0. That means w, the unknown, must equal 3.6.
That is the explanation.
The way to solve the equation is to see what is being done to the unknown. The unknown here is w. On the left side, you see 3.6 being subtracted from w. In order to undo a subtraction, you must do the opposite operation which is an addition. In order to undo a subtraction of 3.6, you must add 3.6. The rule with equations is that you must do the same operation to both sides of the equation, so add 3.6 to both sides of the equation.
w - 3.6 = 0
Add 3.6 to both sides.
w - 3.6 + 3.6 = 0 + 3.6
w = 3.6
Answer: B. 3.6
A: l = h - 7.0
B: l= 9/16h
C:h = 9/16L
D:h = L - 7.0
Answer:
A
Step-by-step explanation: The answer is A
Please help!!! Will give brainliest
Answer:
option C
Step-by-step explanation:
option C is the correct answer of this question.
plz mark my answer as brainlist plzzzz vote me.
hope this will be helpful to you.
What is the great common factor between 68 and 54?
Answer:
2
Step-by-step explanation:
The solution set in interval notation is ??
Answer:
Step-by-step explanation:
Will make 1st answer brainleist
Answer:
3.1
Step-by-step explanation:
Answer:
3.1
Step-by-step explanation:
4.7(5) - 6.8(3) =
23.5 - 20.4 =
3.1
thank u it really helped
Answer:
who are you thanking? Lol
Step-by-step explanation:
PROINTERENCIAS cuyos RADIOS HIDEN 115m
225m
SON TAN GENJES EXTERIOVENTE ENTRE
OGULOS QUE SE FORAN CUANDO SE UNEN
ros
DE DICHAS CIRCUNFERENCIAS
Answer: what does this say
Step-by-step explanation:
The Venn diagram below represents the students in a particular high school.
How many female students have a part-time job and a driver's license?
Female
Part-time job
74
111
56
45
92
38
137
89
Driver's license
No
Answer:
C. 45
Step-by-step explanation:
Since the question is asking how many females have both a driver's license and a part-time job. So you need to find the number that reoresents all three of these categories. This category is shown in the very center with the number 45.
Hope it helps!
Answer:
C. 45
Step-by-step explanation:
Because its inside all three circles that you want.
pls answer fast. will give brainliest (v2)
Answer:
Account B principle for B=400, principle for A=200
Step-by-step explanation:
the beginning is 7 ÷ 3 help
10. A rectangle has a perimeter of 22 cm. If the length of the rectangle is 2 cm more than two times the
width, what are its dimensions?
Answer:
w = 3 cm
l = 8 cm
Step-by-step explanation:
let 'w' = width
let '2 + 2w' = length
P = 2l + 2w
22 = 2(2 + 2w) + 2w
22 = 4 + 4w + 2w
22 = 4 = 6w
18 = 6w
w = 3
length = 2 + 2(3) = 18
Find the area of the trapezoid
Answer:
1/2(l1+l2) is the area of trapezium
Answer:
A=a+b /2h
Step-by-step explanation:
At a football stadium, 4% of the fans in attendance were teenagers. If there were 260 teenagers at the football stadium, what was the total number of people at the stadium?
Answer:
solution
4%=260
100%=?
=(100x260)/4
=6500
Percentage of fans in the stadium who were teenagers = 4%
Number of teenagers in the match = 260
Let the total number of people at the stadium be x.
Which means :
[tex] =\tt 4\% \: \: of \: \: x = 260[/tex]
[tex] =\tt \frac{4}{100} \times x = 260[/tex]
[tex] =\tt \frac{4 \times x}{100} = 260 [/tex]
[tex] = \tt \frac{4x}{100} = 260[/tex]
[tex] = \tt4x = 260 \times 100 \\ \tt \: \: \: = 26000[/tex]
[tex] =\tt x = \frac{26000}{4} [/tex]
[tex]\color{plum} =\tt x = 6500[/tex]
▪︎Therefore, number of people at the stadium = 6500