Answer:
a) Trials are independent, and there is a fixed number of trials, which means that the binomial probability distribution can be used.
b) 0.000015 = 0.0015% probability that exactly one of the 12 seniors disapproves daily pot smoking
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
a)
For each senior, there are only two possible outcomes. Either they disapprove daily pot smoking, or they do not. The seniors are selected at random, which means that the probability of one disapproving daily pot smoking is independent of other seniors, that is, the trials are independent. There is also a fixed number of trials.
b)
70% disapprove of daily pot smoking, according to a report in Parade, which means that [tex]p = 0.7[/tex]
12 seniors means that [tex]n = 12[/tex]
The probability is P(X = 1).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{12,1}.(0.7)^{1}.(0.3)^{11} = 0.000015[/tex]
0.000015 = 0.0015% probability that exactly one of the 12 seniors disapproves daily pot smoking
How many and what type of solution(s) does the equation have?8p^2=24p−10
Answer:
2 real solutionsStep-by-step explanation:
to understand thisyou need to know about:discriminantPEMDAStips and formulas[tex]D=b^{2}-4ac[/tex]D>0 (2 real solutions)D=0 (1 real solution)D<0 (2 imaginary solutions) or (no real solutions)let's solve:move left hand side expressions to right hand side and change its sign:8p²-24p+10=0divide both sides by 2 :4p²-12p+5=0the quadratic equation standard form is
ax²+bx+c=0therefore we get
a=4b=-12c=5-------------------------------
substitute the value of a,b and c into the discriminant: D=-12²-4.4.5simplify square:144-4.4.5simplify multiplication:144-80simplify substraction:64since we got D>0
therefore
the quadratic equation has 2 real solutions
1)1/4+1/2
2)7/10-3/5
3)1/2-2/6
With lowest term
Thank you who answer my question
0 What is A U B?
Set A = 1, 2, 3, 4
Set B = 2, 3, 6, 10, 11
Answer:
A U B= 1,2,3,4,6,10,11
Step-by-step explanation:
because A union B is all number from set A and set B together without repeating
What is the factored form of X^9+27 A (x^3-3)(x^6+3x^3+9) B(x^3+3)(x^6-3x^3+9) C(x-3)^3(x^6+3x^3+9) D(x+3)^3(x^6-3x^3+9)
Answer:
D
Step-by-step explanation:
Do you guys now the answer I need it ASAP please
Answer:I think that it would be either b or c
Step-by-step explanation:
As a percentage, $9.00 is equal to
What % of $20.00.
Answer:
45%
Step-by-step explanation:
let's say 20 is 100%
10 is 50%
then 10 divided by 5 (to get 10%) is 2
so 1 is 5%
then we wanna get 9 so we do 10-1 which equals the percentages 50-5 to get 45%
SOMEONE PLEASE ANSWER AND EXPLAIN I’LL MARK BRAINLIEST THANK YOU
Answer:
20 visits.
Step-by-step explanation:
Fitness Universe has a 1 time payment of $50, and each visit will cost $5.50
Non-members pay $8 per visit. Let each visit be signified by the variable, v. Set the equation:
5.50v + 50 = 8v
Isolate the variable, v. Note the equal sign, what you do to one side, you do to the other. Subtract 5.50v from both sides:
5.50v (-5.50v) + 50 = 8v (-5.50v)
50 = 8v - 5.50v
50 = 2.50v
Isolate the variable, v. Divide 2.50 from both sides:
(50)/2.50 = (2.50v)/2.50
v = 50/2.50
v = 20
Stuart must visit 20 times to break even, in which it will become cheaper after the 20th visit.
What is the measure of each angle of a regular pentagon? If necessary, round to the nearest tenth.
Answer: Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon. Round to the nearest tenth, if necessary. 24 b 15, 345 24, 156 7.5, 172.5 15, 165
Step-by-step explanation: sum, S, of the measure of the interior angles of a polygon with n sides is: ... The sum of the interior angles of a 24 -gon is 3960. ... angles of a polygon is (n−2)⋅180 , where n is the number of sides. ... Each exterior angle measures 36024=15 . ... The sum of the 24 interior angles is then 24⋅165=3960 .
3. If a week is 7 days, what fraction of a week is 2 days?
Every Month the average number of books borrowed by a class of 24 from a library is 4.What is the total number of books borowed by the class for the month
Answer:
96
Step-by-step explanation:
24*4=96
Jack collected 18 ten dollar bills while selling tickets for a show. He gave 1 over 6 of the bills to the theater and kept the rest. How much money did he keep?
Answer:
150
Step-by-step explanation:
Collected bills: 18 * 10= 180
1/6 of 180 = 30
180-30=150
Answer:
15 ten dollar bills, 150 dollars
Step-by-step explanation:
1/6 of 18 is 3, so he gave 3 bills to the theater and kept the other 15 for himself
Sarah makes $3000 contributions at the end of each half-year to a retirement account for 8 years. For the next 20 years, she makes no additional contributions and no withdrawals. If the account earns 7.5%, compounded semi-annually, find the value of the account after the 28 years.
(b) If the above account is used to set up an annuity that pays her an amount at the beginning of each 6-month period for the next 20 years, how much will each payment be?
Answer:
I think its aa.... I think its aa.... Carrot
Step-by-step explanation:
Fine the slope of the line through (20, -8), (9, -8)
Answer: The slope is 0
Activity
Part A
Match the factors affecting cost to their definitions. Write the name of the factor next to its definition
Answer:
cost of materials - the value of all things needed to create the good or service
opportunity cost - the value of a product given up to produce or obtain another product
fixed cost - costs that are not affected by the level of production
sunk cost - past costs that cannot be recovered
marginal cost - change in total cost that arises when the quantity produced changes by one unit
Step-by-step explanation:
Answer:
cost of materials: the value of all things needed to create the good or service
opportunity cost: the value of a product given up to produce or obtain another product
fixed cost: costs that are not affected by the level of production
sunk cost: past costs that cannot be recovered
marginal cost: change in total cost that arises when the quantity produced changes by one unit
Express each decimal to fraction 0.8255555…
Answer:
08255555/10000000 this is the answer
Answer:
0.8255555 = [tex]\frac{33}{40}[/tex]
Step-by-step explanation:
Showing the work
Rewrite the decimal number as a fraction with 1 in the denominator
0.825 = [tex]\frac{0.825}{1}[/tex]
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000
[tex]\frac{0.825}{1}[/tex] × [tex]\frac{1000}{1000}[/tex] = [tex]\frac{825}{1000}[/tex]
Find the Greatest Common Factor (GCF) of 825 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25,
[tex]\frac{825/25}{1000/25}[/tex] = [tex]\frac{33}{40}[/tex]
Therefore
X= [tex]\frac{33}{40}[/tex]
In conclusion,
0.825555 = [tex]\frac{33}{40}[/tex]
Hope it helps
Please mark me as the brainliest
Thank you
mareli rides her dirt bike at 20 meters/second for 500 seconds, how far did she ride?
Answer:
25 meters
Step-by-step explanation:
500/20 = 25
25 meters
Hope that helps!
Answer:
10,000 meters
Step-by-step explanation:
20*500=10,000
p -> q is false and p is true.
q is
True
False
Answer:
q is false
Step-by-step explanation:
Answer:
q is false
Step-by-step explanation:
for a conditional statement, if the first part (if....) is true and second part is false, then p->q will be false. This is THE ONLY CASE IN CONDITIONAL STATEMENT where the truth value is false.
divide 270 in the ratio 3:2:1
3 + 2 + 1 = 6
270 ÷ 6 = 45
45 × 3 = 135
45 × 2 = 90
45 × 1 = 45
3 : 2 : 1
135 : 90 : 45
3.1 Simplify the following ratios:
3.1.1 500g: 3 kg
- 15
Answer:
1g:6g-15
Step-by-step explanation:
The proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this proportion is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents.
(a) Conduct a hypothesis test to determine if these data provide strong evidence the rate of sleep deprivation is different for the two states.
(b) It is possible the conclusion of the test in part (a) is incorrect. If this is the case, what type of error was made?
Step-by-step explanation:
We start by stating the null hypothesis
H0: p1 = p2
No difference is existent
H1: p2 not equal to p2
There is a difference
We find the z statistic using microsoft excel or using the formula in the attachment
= -1.68
From the normal table, p value = 0.099
The p value is greater than 0.05 so we fail to reject the null hypothesis and conclude there is no difference
B. If answer in part a is incorrect then we have made a type ii error. A type 2 error occurs when we accept a false null hypothesis.
Please guys help me please no links
Answer:
it's F.
Step-by-step explanation:
i used my calculator. just trust me
The tip of a 8 cm minute hand of a clock sweeps out circular arcs.
What is the length of the arc made by the tip of the minute hand between 3:12 and 3:32?
Use 3.14 for pi. Round your answer to the nearest hundredth.
Enter your answer in the box.
Answer:
16.75
Step-by-step explanation:
20/60=x/360
x=120 degree angle
120/360=x/2pi8
1/3=x/16pi
16pi/3=x
x=16.75 arc length
An element with
mass 510 grams decays by 26.3% per minute. How much of the
element is remaining after 7 minutes, to the nearest 10th of a gram?
Answer:
60.2 grams is remaining after 7 minutes.
Step-by-step explanation:
Exponential equation for amount of substance:
The exponential equation for the amount of a substance is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal, and t is the time measure.
An element with mass 510 grams decays by 26.3% per minute.
This means that [tex]A(0) = 510, r = 0.263[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 510(1-0.263)^t[/tex]
[tex]A(t) = 510(0.737)^t[/tex]
How much of the element is remaining after 7 minutes?
This is A(7). So
[tex]A(7) = 510(0.737)^7 = 60.2[/tex]
60.2 grams is remaining after 7 minutes.
3
a) The average rainfall of the last week was 35 mm. If the records of daily
rainfall from Sunday to Friday were 45 mm, 22 mm, 28 mm, 36 mm, 30 mm
and 24 mm, find the rainfall on Saturday.
Answer:
The rainfall on Saturday was of 60 mm.
Step-by-step explanation:
Average rainfall:
The average rainfall is given by the total rainfall divided by the number of days(7). So
If the records of daily rainfall from Sunday to Friday were 45 mm, 22 mm, 28 mm, 36 mm, 30 mm and 24 mm
On Saturday it was of x mm. So
[tex]35 = \frac{45 + 22 + 28 + 36 + 30 + 24 + x}{7}[/tex]
[tex]185 + x = 245[/tex]
[tex]x = 245 - 185[/tex]
[tex]x = 60[/tex]
The rainfall on Saturday was of 60 mm.
Find the vertex of the function. ill mark brainlist
Answer:
(2,-9)
Step-by-step explanation:
In this figure what is the value of v
Condense the log equation: 4 log x + log y - 5 log z
Answer:
The condensed log equation is: [tex]\log{\frac{x^4y}{z^5}}[/tex]
Step-by-step explanation:
We use these following logarithm properties to solve this question:
[tex]a\log{x} = \log{x^a}[/tex]
[tex]\log{a} + \log{b} = \log{ab}[/tex]
[tex]\log{a} - \log{b} = \log{\frac{a}{b}}[/tex]
In this question:
[tex]4\log{x} = \log{x^4}[/tex]
[tex]5\log{5} = \log{z^5}[/tex]
So
[tex]4\log{x} + \log{y} - 5\log{z}[/tex]
Becomes:
[tex]\log{x^4} + \log{y} - \log{z^5}[/tex]
Now applying the addition and subtraction properties, we have:
[tex]\log{\frac{x^4y}{z^5}}[/tex]
The condensed log equation is: [tex]\log{\frac{x^4y}{z^5}}[/tex]
state three (3) uses of graphs
Which triangle can be used to find the slope of the line shown? explain your answer
Answer:
A right triangle contains a right angle, so it must have two sides that are perpendicular. If the slopes of two sides can be shown to be negative reciprocals of each other, then it can be concluded that a right angle is formed. If a triangle contains a right angle, then it is a right triangle
Step-by-step explanation:
to determine if a triangle is a right triangle using slopes, you have to understand perpendicular slopes/negative reciprocals.
You can calculate the slope of all 3 sides of the triangle and if two of the slopes are negative reciprocals, then those two lines intersect creating a right angle/right triangle.
Let's say there's triangle ABC.
If the slope of AB is 1/2
and the slope of BC is 2/5
and the slope of CA is -2/1
then AB and CA intersect resulting in a right angle (triangle).
pls someone anwser quick