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
Help me with this question ASAPPPP!!!!!!!
Answer:
B
Step-by-step explanation:
I think its B
Hope this helps!
Among 75 students in epidemiology class, 3 are obese per their BMI on a survey. This survey also collected information about how often students eat Krispy Kreme donuts. Seven students indicated they eat donuts daily. Of those eating donuts daily, 2 are in the obese group. Calculate the appropriate measure of association for the possible association between daily donut eating and obesity and enter your calculated result.
Answer:
2/7 become obese by eating it every day.
Step-by-step explanation:
If Sarah has 30 bills in her wallet worth $240, all fives and tens, how many of each bill does she have? Show work if possible
Answer:
Step-by-step explanation:
The total number of fives bills is 12 and the total number of tens bills is 18 and this can be determined by forming the linear equations.
Given :
Sarah has 30 bills in her wallet worth $240, all fives and tens.
The following steps can be used in order to determine the total number of fives bill and tens bills:
Step 1 - Let 'x' be the total bills of fives and 'y' be the total bills of tens.
Step 2 - The linear equation that represents the total number of bill is given by:
x + y = 30
x = 30 - y --- (1)
Step 3 - Now, the linear equation that represents the total amount of the bill is given by:
5x + 10y = 240 ---- (2)
Step 4 - Substitute the value of 'x' in equation (2).
5(30 - y) + 10y = 240
150 - 5y + 10y = 240
5y = 90
y = 18
Step 5 - Substitute the value of 'y' in equation (1).
x = 30 - 18
x = 12
So, the total number of fives bills is 12 and the total number of tens bills is 18.
For more information, refer to the link given below:
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Interest of $1,632 with principal of $16,000 for 306 days (ordinary interest) results in a rate of
Answer: 12%
Step-by-step explanation:
divide and simplify 6/7÷(-13/2)
Answer: -12/91
Step-by-step explanation:
6/7 ×-2/13=-12/91
Adélie penguins in the Danger Islands represent about 55% of the total Adélie penguin population in the Antarctic Peninsula. They calculated a total of 1,503,054 penguins on the islands.
What is the total estimated Adélie penguin population in Antarctica?
Answer:
Adélie penguins= 826,680
Step-by-step explanation:
Giving the following information:
Total penguin population= 1,503,054
Adélie penguins= 55%
To calculate the number of Adélie penguins, we need to use the following formula:
Adélie penguins= total penguin polulation*proportion of Adélie penguins
Adélie penguins= 1,503,054*0.55
Adélie penguins= 826,680
The owner of a local golf course wants to examine the difference between the average ages of males and females that play on the golf course. Specifically, he wants to test if the average age of males is greater than the average age of females. If the owner conducts a hypothesis test for two independent samples and calculates a p-value of 0.0095, what is the appropriate conclusion
Answer:
Result is significant ; hence we can conclude that the average age of male is greater than that of females.
Step-by-step explanation:
Given that:
Let :
u1 = mean age of male
u2 = mean age of female
Null hypothesis : H0 : u1 = u2
Alternative hypothesis : H1 : u1 > u2
P value for hypothesis test conducted = 0.0095
Using a significant level α 0.05 or 0.01, :
The P value < α
Since, the P-value is less than α, then the result is significant and we thus we can reject the Null and conclude that the average age of males is greater Than that of females that play on the golf course.
What is the difference between -4 and 6
-10
-2
2
10
Mark brainly if ur right please help ASAP
Hey,
Answer:
2 and -2
Good luck :)
what is the difference between 75.847 and 47.964?
Answer:
27.883
Step-by-step explanation:
75.847
-47.964
27.883
if m this is so confusing
(2x+1)^2 - (x+3)^2 simplify
Answer:
Step-by-step explanation:
steps are below
step 1
(2x+1)^2 - (x+3)^2 equation
step 2
4x^2+4x+1+(-x^2)+(-6x)+(-9) distribute
step 3
4x^2+4x+1+(-x^2)+(-6x)+(-9)
(4x^2+-x^2)+(4x+(-6x)+(1+(-9) combine the like terms
3x^2-2x-8
How can I solve this?
Please use the simplest format
Answer:
option D is true.
Step-by-step explanation:
The right-angled triangle is shown.
From the right-angled triangle,
The angle Ф = 60°
We know that the trigonometric ratio
tan Ф = opposite / adjacent
opposite = 4adjacent = nThus,
tan 60 = 4 / n
√3 = 4/n
n = 4/√3
Thus,
n = 4/√3
= (4 × √3) / (√3 × √3)
= 4√3 / 3
Thus,
n = 4√3 / 3
Using Pythagorean theorem
m = √n²+4²
[tex]m=\sqrt{\left(4\cdot \frac{\sqrt{3}}{3}\right)^2+4^2}[/tex]
[tex]m=\sqrt{\frac{4^2}{3}+4^2}[/tex]
[tex]m=\sqrt{\frac{64}{3}}[/tex]
[tex]m=\frac{8}{\sqrt{3}}[/tex]
[tex]m=\frac{8\sqrt{3}}{3}[/tex]
Thus,
[tex]m=\frac{8\sqrt{3}}{3}[/tex]n = 4√3 / 3Therefore, option D is true.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number of cats.
Ο 18
Ο 21
Ο Ο Ο Ο
Ο 15
Ο 16
Answer:
15 cats
proportion 3x : 5x
in this case x= 5
Step-by-step explanation:
divide 25 by 5
=5
now you know the factor is 5
multiple 3 by 5
=15
part 1: the following formula gives the area of a circle, A, dependent on its radius, r.
A = πr²
solve the equation for the variable r.
part 2: using the answer from the previous question, ^^ state the value of ‘r’ if the area of the circle were equal to 37 square feet.
(you can use 3.14 to approximate the value of π in the equation”
Answer:
3.43ft
Step-by-step explanation:
Step one:
given data
the expression for the area is
A = πr²
make r subject of the formula
divide both sides by π
A/π =r²
square root both sides
r=√A/π
step two:
given that A= 37 ft^2
r= √37/3.142
r=√11.77
r=3.43ft
PLEASE ANSWER
Daniel works in a market. He has a large bag of potatoes that weighs 6514 pounds and he is going to sell them in smaller bags of 214 pounds each. If he uses up all the potatoes, how many smaller bags of potatoes will Daniel have filled?
Answer:
When 6514 is divided by 214, it equals approximately 30.4. So Daniel will have filled 30 smaller bags.
Dec 23, 8:45:08 PM
Find three consecutive POSITIVE ODD integers such that when you multiply the first
and third the result is nine less than six times the second integer.
Answer:
The three consecutive POSITIVE ODD integers are: 3, 5 and 7
Step-by-step explanation:
If x is an integer, then there consecutive positive odd integers are:
x , x + 2, x + 4 are three consecutive integers.
Where
First integer, a = x
Second integer, b = x + 2
Third integer, c = x + 4
We are told to:
Find three consecutive POSITIVE ODD integers such that when you multiply the first and third the result is nine less than six times the second integer.
Hence, this is represented as:
a × c = 6(b) - 9
Where
a = x
b = x + 2
c = x + 4
x (x + 4 ) = 6(x + 2) - 9
x ² + 4x = 6x + 12 - 9
x² +4x - 6x - 12 + 9= 0
x² - 2x - 3 = 0
Factorising
x² +x - 3x - 3 = 0
x (x + 1) -3(x + 1) = 0
(x - 3) (x + 1) = 0
x - 3 = 0
x = 3
x + 1 = 0
x = -1
Since, x cannot be negative for this question, x = 3
First integer, a = x = 3
Solving for:
Second integer, b = x + 2
b = 3 + 2 = 5
Solving for :
Third integer, c = x + 4
c = 3 + 4 = 7
Therefore, the three consecutive POSITIVE ODD integers are: 3, 5 and 7
A right triangle has a hypotenuse that is 9
inches long and one leg that is 4 inches long.
What is the perimeter of the triangle?
Answer:
sqrt65+17
Step-by-step explanation:
a^2+b^2=c^2
a^2+4^2=9^2
a=sqrt65
perimeter = sqrt65+97
Hope this helps plz hit the crown :D
what are the first 3 composite numbers that are multiples of 4 and greater than 10.
Answer:
12, 16, and 20
Step-by-step explanation:
These are the answers because:
1) Composite numbers mean numbers that are divisible by more than two numbers (1 and itself).
2) Multiples of 4 that are greater than 10 are: 12, 16, and 20 because they are all divisible by more than two numbers, they are greater than 10, and they are mutiples of 4. You can check if they are multiples of 4 by skip counting or multiplying: 4, 8, 12, 16, 20 or 4 x 1 = 4, 4 x 2 = 8, 4 x 3 = 12, 4 x 4 = 16, 4 x 5 = 20.
Therefore, the answers are: 12, 16, and 20
Hope this helps! :D
Answer:
12, 16, 20
Step-by-step explanation:
I answered before but for some reason, my answer was deleted. The other person deserves brainliest though, they gave the best answer.
Find the exact value of each trigonometric function tan -630
Answer:
1tan is 10sin
OK OK OK.
follow please
What is the quotient of 8,187 ÷ 24? (2 points)
341 R 3
341 R 7
409 R 3
409 R 7
What is Eight times the sum of a number and -192 gives 96?
Answer:
Step-by-step explanation:
8x-192=96
8x-192+192=96+192
8x=288
8x/8=288/8
x=288/8
36
The unknown number is 204.
Important Information:
Eight times the sum of a number and -192 gives 96Linear equation:Let [tex]x[/tex] be the unknown number.
Sum of a number and -192 is
[tex](x+(-192))=x-192[/tex]
Eight times the sum of a number and -192 gives 96.
[tex]8(x-192)=96[/tex]
Divide both sides by 8.
[tex]x-192=12[/tex]
[tex]x=12+192[/tex]
[tex]x=204[/tex]
Therefore, the unknown number is 204.
Find out more about 'Linear equation' here:
https://brainly.com/question/16848738
The solution of 5(x+2) – 3x = 2(x – 5)
Answer:
Step-by-step explanation:
5x + 10 - 3x = 2x - 10
2x + 10 = 2x - 10
0x = -20
no solution
Show that the three points whose position vectors are 7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k form an isosceles right
angled triangle.
Answer:
AB = √18 , BC=√18 and CA =4
AB²+BC² = CA² and AB=BC
ΔABC isosceles right angled triangle.
Step-by-step explanation:
Given vectors are 7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k
A( 0,7,10), B( -1,6,6) C(-4,9,6)
AB⁻ = OB-OA = -I+6j+6k-(7j+10k) = -I-j-4k
AB = [tex]\sqrt{1+1+16} = \sqrt{18}[/tex]
BC = OC-OB = -4i+9j+6k-(-I+6j+6k) = -3i+3j
BC=[tex]\sqrt{9+9} =\sqrt{18}[/tex]
CA = OA-OC = 7j+10k - (- 4i + +9j + 6k ) = 4i-2j+4k
CA = [tex]\sqrt{16+4+16} =\sqrt{36} =4[/tex]
Since AB²+BC² = CA²
And AB=BC
Therefore it follows that ΔABC is a right angled isosceles triangle
pt.2 for find tge unknown
Answer:
[tex]c = 65[/tex]
[tex]x = 158[/tex]
Step-by-step explanation:
In the first triangle, one of the angles are already given to us, the 25. But the other angle is 90 degrees because it's a right angle. A right angle measures 90 degrees. We now add both the numbers together and subtract it from 180 to find the answer. We are subtracting it from 180 because a triangle equals 180 degrees.
[tex]90 + 25 = 115 \\ 180 - 115 = 65[/tex]
In the second triangle, one of the angles are already given to us, the 68. But the other angle is 90 degrees because it's a right angle. A right angle measures 90 degrees. We now add both the numbers together and subtract it from 180 to find the answer. We are subtracting it from 180 because a triangle equals 180 degrees.
[tex]68 + 90 = 158 \\ 180 - 158 = 22[/tex]
We figured out all the angles inside the triangle.
68, 90, and 22. We need to find the exterior angle. Remmeber that Consecutive angles are supplementary. The 22 and the x are one a straight line. A straight line equals 180 degrees. You are going to subtract 22 from 180 to get your answer.
[tex]180 - 22 = 158[/tex]
If you wanted to write it as an equation and solve it, it would be:
[tex]22 + x = 180[/tex]
Write the equation of a line that passes through (-2,6) and 1,-6)
Answer: y=−2−4x
Check: Put 1,6 in the equation, -6 = -2-4(1). After solving, you get -6 (Check) So this equation is correct. Stay safe, and Happy Holidays!
QUESTION 8 of 10: You have a gross lease of $1,000 per month. Taxes and maintenance total $500 per month. What is your total rent payment?
Answer:
1500
Step-by-step explanation:
just took the test
Your total monthly payment would be; 1,500 dollars.
What is Monthly Rent?Monthly Rent means the monthly installments of the Annual Minimum Rent and the estimated annual utility bills payable by the Lessee under this Rental Agreement.
The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
We are given that You have a gross lease of $1,000 per month. Also, Taxes and maintenance total $500 per month.
we need to calculate the your total rent payment.
Therefore, we know that;
Rent= base payment + percent of revenue
= 1,000 + 500
= 1500
Hence, we can conclude that the monthly rent should be 1500 dollar.
Learn more about rent here:
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How do you know whether two quantities x and y are proportional?
Answer: first one
Step-by-step explanation:
Answer:
First one
Step-by-step explanation:
There are 32 carpenters in a work crew. On a certain day, 24 were present. What
percent showed up for work?
Answer:
75%
Step-by-step explanation:
24/32 = .75 move decimal twice to the right to change to %
= 75%
find the value of x that make it true
Answer:
Step-by-step explanation:
1). 10 = [tex]\frac{1+7x}{7+x}[/tex]
10(7 + x) = 1 + 7x
70 + 10x = 7x + 1
10x - 7x = 1 - 70
3x = -69
x = -23
2). 0.2 = [tex]\frac{6+2x}{12+x}[/tex]
0.2(12 + x) = 6 + 2x
2.4 + 0.2x = 6 + 2x
2.4 - 6 = 2x - 0.2x
1.8x = -3.6
x = -2
3). 0.8 = [tex]\frac{x}{x+0.5}[/tex]
0.8(x + 0.5) = x
0.8x + 0.4 = x
x - 0.8x = 0.4
0.2x = 0.4
x = 2
4). 3.5 = [tex]\frac{4+2x}{0.5-x}[/tex]
3.5(0.5 - x) = 4 + 2x
1.75 - 3.5x = 4 + 2x
-3.5x - 2x = 4 - 1.75
-5.5x = 2.25
x = -[tex]\frac{2.25}{5.5}[/tex]
x = - [tex]\frac{9}{22}[/tex]
Molly shot 20 baskets in 4 minutes. Nico shot 42 baskets in 6 minutes. How many more baskets did Nico shoot per minute?
Answer:
2
Step-by-step explanation:
Molly:
20 baskets / 4 minutes = 5 baskets/minute
Nico:
42 baskets / 6 minutes = 7 baskets/minute
7 - 5 = 2
Answer: 2
Answer:
Step-by-step explanation:
Ratio....
M = 20:4
N = 42:6
Slope....
M = 5 shots per minutes
N = 7 shots per minutes
Nico shot 2 more baskets per minute than Molly did
Hope this helped!