Answer:
the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608
Step-by-step explanation:
From the information given:
Let N represent the total number of senior students
N = 17000
and k to be the number of seniors disapproving of daily pot smoking
k = 17000 × 0.70
k = 11900
sample size n = 18
Suppose X represents the random variable...
Then,
X = 0,1,2,...,18
Thus X follows a hypergeometric distribution with parameters
(N = 17000, n = 18 & k = 11900)
Thus, the probability mass function is:
[tex]P(X =x) = \dfrac{(^k_n) (^{N-k}_{n-x} ) }{(^N_n) }; \ max \{0,(N-K) \} \le x \le min \{n,k\}[/tex]
[tex]P(X =x) = \dfrac{(^{11900}_n) (^{17000-11900}_{18-x} ) }{(^{17000}_{18}) }[/tex]
[tex]P(X =x) = \dfrac{(^{11900}_n) (^{51000}_{18-x} ) }{(^{17000}_{18}) }; \ 0\le x \le 18[/tex]
Now, the required probability is computed as:
[tex]P(9<X<14) = P(10 \le X \le13)[/tex]
[tex]P(9<X<14) = P(X =10) +P(X =11) +P(X=12) +P(X =13)[/tex]
[tex]P(9<X<14) = \left\{\begin{array}{c} \dfrac{(^{11900}_{10}) (^{5100}_{18-10}) }{(^{17000}_{18})} + \dfrac{(^{11900}_{11}) (^{5100}_{18-11}) }{(^{17000}_{18})}+ \dfrac{(^{11900}_{12}) (^{5100}_{18-12}) }{(^{17000}_{18})} + \dfrac{(^{11900}_{13}) (^{5100}_{18-13}) }{(^{17000}_{18})}\end{array}\right\}[/tex]P(9<X<14) = 0.0811 + 0.1377 + 0.1874 + 0.2018
P(9<X<14) = 0.608
Thus, the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608
Joseph loves the Tennessee Titans, so his mother decides to buy
him a Titans cake for his birthday. If the cake cost $ 35.00
before taxes and $ 37.10 after taxes, please and answer
the following questions:
$ 35
1. How much will Joseph's mom pay in taxes?
2. By setting up a percent proportion, determine the percent tax rate.
(The "of" is the price of the cake before taxes and the "is" is the amount of taxes.)
is
of
100
Answer:
Step-by-step explanation:
question one: his mom will pay $2.1 in taxes
thats all i can answer
Can someone show me how to do this problem and I need help!!
Thank you!!
Answer:
[tex] \frac{6}{19 } [/tex]
Step-by-step explanation:
6 + 5 + 7 + 1 + 0 = 19
Graph the equation by plotting three points. If all three are correct, the line will appear. 2y = 5x + 11
Answer: (-1,3) (-2, 0.5) (0,5.5)
Step-by-step explanation:
Please help this is for a grade I don’t know the answer will give brainlest
Answer:
The answer is d
Step-by-step explanation:
Answer: d
Step-by-step explanation:
Rewrite
8
as
2
3
.
x
3
−
2
3
=
0
Since both terms are perfect cubes, factor using the difference of cubes formula,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
where
a
=
x
and
b
=
2
.
(
x
−
2
)
(
x
2
+
x
⋅
2
+
2
2
)
=
0
Simplify.
Tap for more steps...
(
x
−
2
)
(
x
2
+
2
x
+
4
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
x
−
2
=
0
x
2
+
2
x
+
4
=
0
Set the first factor equal to
0
and solve.
Tap for more steps...
x
=
2
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
−
1
+
i
√
3
,
−
1
−
i
√
3
The final solution is all the values that make
(
x
−
2
)
(
x
2
+
2
x
+
4
)
=
0
true.
x
=
2
,
−
1
+
i
√
3
,
−
1
−
i
√
3Rewrite
8
as
2
3
.
x
3
−
2
3
=
0
Since both terms are perfect cubes, factor using the difference of cubes formula,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
where
a
=
x
and
b
=
2
.
(
x
−
2
)
(
x
2
+
x
⋅
2
+
2
2
)
=
0
Simplify.
Tap for more steps...
(
x
−
2
)
(
x
2
+
2
x
+
4
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
x
−
2
=
0
x
2
+
2
x
+
4
=
0
Set the first factor equal to
0
and solve.
Tap for more steps...
x
=
2
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
−
1
+
i
√
3
,
−
1
−
i
√
3
The final solution is all the values that make
(
x
−
2
)
(
x
2
+
2
x
+
4
)
=
0
true.
x
=
2
,
−
1
+
i
√
3
,
−
1
−
i
√
3
Describe a real-world example on how coordinate geometry is/can be used in the real-world. Then, create a sample question based on your example for the rest of your classmates to solve.
Answer:
Step-by-step explanation:
I think jhonnu
NUMBER 6 ONLY. Please help. Only if you are SURE
Answer:
I think it should be zero
A bag contains 100 marbles. Some are blue, and the rest are white. There are 24 blue
marbles for every 1 white marble. How many blue marbles are in the bag?
Explain your reasoning.
Answer:
there would be 96 blue marbles and 4 white ones
Step-by-step explanation:
theres 100 marbles. every 24 marbles is 1 white marble. 24+1=25 25×4=100 24×4=96 1×4=4
Answer:
96 blue
Step-by-step explanation:
There are 24 blue for every 1 white so
24+1 = 25 blue marbles
25x4 = 100 or the total amount
100(total)-4 (white)
= 96 blue marbles
Find a · b.
a = 5i + 4j − k, b = −4i + 9k
Answer
a · b= the square root of b(5i + 4j - k) divided by b
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1
Axis of symmetry: x = -0.5; Vertex: (-0.5, -0.75); f(x) = x2 - x + 1
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = -x2 + x
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + 2x + 1
Answer:
Option A: Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1
Step-by-step explanation:
1) The axis of symmetry of quadratic graph is the vertical line that divides the graph curve into two congruent halves. In this case, it is: x = -0.5
2) Vertex is the point at which the graph curve changes direction or simply coordinates of the crest or trough of the curve.
The graph given has a trough with the coordinates: x = -0.5, y = 0.75. This is (-0.5, 0.75)
3) The roots of a quadratic equation are the points where the curve crosses the x-axis. In this case, it doesn't cross and so we have imaginary roots.
Now, formula for line of symmetry is; x = -b/2a
Thus; -b/2a = -0.5 or -b/2a = -1/2
Thus, b = 1 and a = 1
Our first and second terms will now be;
x² + x
Looking at the options, the only one with x² + x as it's first 2 terms is option A.
Thus, the complete equation will be x² + x + 1
14 compact cars at 56% of cars sold that day
Answer:
4
Step-by-step explanation:
Assume the birth of a boy or a girl is equally likely. The probability that a single child is born a girl is One-half. What is the probability that the next child born to the same familiy will also be a girl?
a.
One-half
b.
One-fourth
c.
StartFraction 1 Over 8 EndFraction
d.
StartFraction 1 Over 12 EndFraction
Answer:
B
Step-by-step explanation:
EDG2021
IF CORRECT I WILL GIVE BRAINLIEST!!
Please help me do this problem!
Screenshot below!
Answer:
9
Step-by-step explanation:
Solve this 40 pointsssss
Answer:
2
Step-by-step explanation:
Answer:
6 because the pattern on the 3 rows is remove 1 on each of the starting and end point of the pattern, therefore, 6 for the 4th row, 4 for the 5th row 2 for the last row
Which is the correct answer?
Note: (if you give me a silly or absurd answer I will report you)
Answer:
D. None are true.
Step-by-step explanation:
f(x)=-2x-1
g(x)=-1/2x+1/2
perpendicular( inverse ) slope = -1
-2*-1/2 = 1, so not perpendicular.
III is wrong.
So, it can't be C.
Since they are not perpendicular, if you place x in one, the other will be wrong, same with the other, so not A or B.
The correct answer is D.
Hope this helps plz hit the crown :D
HELP HELP HELP .............
Answer:
Sorry i don't know what's the actual answer, but you can use Desmos app for graphing, hope that helps
Answer:
there you go if you want mark brainlest if not its okay with me
Step-by-step explanation:
(5x+3) - (2x-6) i need help ? ToT
Answer:
3x + 9
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
(5x + 3) - (2x - 6)
Step 2: Simplify
Distribute negative: 5x + 3 - 2x + 6Combine like terms (x): 3x + 3 + 6Combine like terms (Z): 3x + 9The graph represents the journey of a bus from the bus stop to different locations Bus Journey 4 Distance (miles) La 5 X Time (hours) Part A: Use complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey (4 points) Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points) Part C: Is the graph linear or non-linear? Explain your answer (2 points)
Answer: if the bus takes 5 hours to go the distance then it will take the y,x distances to go the 5 hours.
Step-by-step explanation:
Please answer this correctly fast!! What type of triangle is this?
Options:
- SSS
- SAS
- ASA
- AAS
- HL
- Not Possible
Answer:
Not possible
Step-by-step explanation:
These triangles are not congruent
Find the unit prices to the nearest tenth of one cent 12 oz for $2.10
Answer:
Concept: Unit Price & Algebraic Representation
You have 12 oz You have a total price of 2.10 Hence you divide 2.10/12 Your result to the nearest tenth is 0.2 Rate positively and give brainlista(7x + 3) = b + 14x?
Answer:
Step-by-step explanation:
So first add 7 +3 adn get 10, then add 14, and then you will get 24
24 is your answer.
For a sample size of 55 and a population parameter of 0.2, what is the standard error of the sampling distribution? Round your answer to three
decimal places.
A. 0.028
B. 0.054
C. 0.035
D. 0.043
The standard error of the sampling distribution is given as follows:
B. 0.054.
How to obtain the standard error of the sampling distribution?By the Central Limit Theorem, for a proportion p in a sample of size n, the standard error of the sampling distribution of sample proportions is given as follows:
[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
The parameter values for this problem are given as follows:
p = 0.2, n = 55.
Hence the standard error is given as follows:
[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]s = \sqrt{\frac{0.2(0.8)}{55}}[/tex]
s = 0.054.
Meaning that the correct option is given by option B.
More can be learned about the Central Limit Theorem at https://brainly.com/question/25800303
#SPJ1
Question
You flip a coin 10 times and get heads 6 times. Based on this experiment, what is the probability of flipping a coin and
getting heads?
Select the correct answer below:
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A figure is shown in the image. What is the measure of the
highlighted angle?
А. 30
В. 60
С. 120
D. 65
Answer:
c is the correct answer i my guest
The Precision Writing Instruments Company makes two pen designs - the Cordova design and the Savannah design. These data apply, regardless of which of two pen designs is being implemented. Materials cost per pen is $6. Labor cost per pen is $5. Production overhead is
$1,000,000. Advertising and promotion is $1,000,000. Marketing research has estimated the following demand functions for the next year of sales for the two pen designs where Q represents demand in thousands and P represents price. For the Cordova design, Q = 150 - 2.5P. For the Savannah design, Q = 175 - 2.1P. A penetration strategy is proposed for the Savannah design and a price of $25 is selected. What will be the profit or loss for the first year?
9514 1404 393
Answer:
loss of $285,000
Step-by-step explanation:
The demand for the Savannah design is estimated to be ...
Q = 175 -2.1P = 175 -2.1(25) = 122.5 . . . . thousand pens
Then the contribution margin from sales will be ...
122,500($25 -$6 -$5) = $1,715,000
Against a total of $2,000,000 in production and advertising costs, the net will be a loss of ...
$2,000,000 -1,715,000 = $285,000
The first-year loss will be $285,000.
Isabella baked 10 cookies with 2 scoops of flour. How many scoops of flour does Isabella need in order to bake 45 cookies? Assume the relationship is directly proportional
Answer:
9 scoops
Step-by-step explanation:
If 10 cookies took 2 scoops of flour, then 4 scoops would make 20 cookies, 6 scoops would make 30, 8 scoops would make 40. If you need 5 cookies, then split 2 scoops in half, which would be one scoop. 8 scoops(which is 40 cookies)+ 1 scoop(5 cookies) = 9 scoops (45 cookies)
A punch recipe requires 2 cups of cranberry juice to make 3 gallons of punch. Using the same recipe, how many cups of cranberry juice are needed for 1 gallon of punch? Use / as a fraction bar.
pls help me as fast as u can
Answer:
1.5
Step-by-step explanation:
since 2 cups equals 3 gallons you can divide 3 by 2 and get 1.5. so there are 1.5 cups per gallon hope it helps
simplify 4(x + 2y)-(3x-8y)
Answer: x + 16y
Step-by-step explanation:
multiply 4 to x+ 2y
4x + 8y - 3x + 8y (open the bracket)
x + 16y
Answer:
x+16y
Step-by-step explanation:
4(x+2y)-(3x-8y)
we open the brackets and the sign of the second bracket changes
4x+8y-3x+8y
we group x's and y's
x+16y
What is the length of x?
Answer:
The length of 'x' is 4
Step-by-step explanation:
We can use the pythagorean theorem to solve this.
The pythagorean theorem is:
[tex]a ^{2} + b^{2} = {c}^{2} [/tex]
[tex]a ^{2} + b^{2} = c^{2} \\ {3}^{2} + {b}^{2} = 5^{2} \\ 9 + {b}^{2} = 25 \\ \frac{ - 9 \: \: \: \: \: \: \: \: = - 9}{b ^{2} = \sqrt{16} } \\ b = 4[/tex]
Therefore x = 4
What is the slope of the following equation? y =- 1/2×+1
Answer:
-1/2
Step-by-step explanation:
Answer: -1/2
Reason: In the equation of y = mx + b. The m is the slope, and the b is the y intercept, so that is how I figured out the Slope of the equation. I hope this helps, and Happy Holidays! :)
You increase your walking speed from 1 m/s to 3 m/s in a period of 1 s.
What is your acceleration?
Answer:
2 m/s
Step-by-step explanation:
Answer:
2m/s²
Step-by-step explanation:
acceleration= v-u/t
=3-1/1
=2m/s²