Answer:
0.0105 = 1.05% probability that no more than 3 of the entry forms will include an order.
Step-by-step explanation:
For each entry form, there are only two possible outcomes. Either it includes an order, or it does not. The probability of an entry including an order is independent of any other entry, which means that the binomial probability distribution is used to solve this question.
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.
The Magazine Mass Marketing Company has received 16 entries in its latest sweepstakes.
This means that [tex]n = 16[/tex]
They know that the probability of receiving a magazine subscription order with an entry form is 0.5.
This means that [tex]p = 0.5[/tex]
What is the probability that no more than 3 of the entry forms will include an order?
At most 3 including an order, which is:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{16,0}.(0.5)^{0}.(0.5)^{16} \approx 0[/tex]
[tex]P(X = 1) = C_{16,1}.(0.5)^{1}.(0.5)^{15} = 0.0002[/tex]
[tex]P(X = 2) = C_{16,2}.(0.5)^{2}.(0.5)^{14} = 0.0018[/tex]
[tex]P(X = 3) = C_{16,3}.(0.5)^{3}.(0.5)^{13} = 0.0085[/tex]
Then
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.0002 + 0.0018 + 0.0085 = 0.0105[/tex]
0.0105 = 1.05% probability that no more than 3 of the entry forms will include an order.
Omgg please help right now
Answer:
64in^3
Step-by-step explanation:
6×3 = 18
18×2 = 36
4×7 = 28
36+28 = 64
Hope this helps! :)
Midsegments geometry acellus pls helppfpfpff
Answer:
BC = 28
Step-by-step explanation:
The midsegment DF is half the measure of the third side BC , then
BC = 2 × DF = 2 × 14 = 28
B
13 ft.
5 ft.
A
C
12 ft.
Find the value of Cos (B) =
Answer: the answer is 12/13
Need helppppppp please
Answer:
What do you need help with
Step-by-step explanation:
Write the range of the function using interval notation.
Answer:
[-3, -1]
Step-by-step explanation:
The minimum y value is -3.
The maximum y value is -1.
-3 and -1 are included, so we use square brackets.
Answer: [-3, -1]
Write an equation
that represents the line.
Answer:
the eq of given line is 2x+y+3=0
Parallel lines
What is the segment
Answer:
Step-by-step explanation:
Find the area of the shaded region. Round to the nearest tenth. 11.1m 130°
Area = [ ? ] m²
The area of the shaded region is 294.5 m².
What is the area of the entire circle?The area of the entire circle is calculated as follows;
A = πr²
where;
r is the radius of the circleA = π ( 11.1² )
A = 387.1 m²
The area of the sector is calculated as follows;
A = ( θ/360 ) πr²
A = ( 130/360 ) x π ( 11.1² )
A = 139.8 m²
The area of the triangle is calculated as follows;
A = ¹/₂ ( sinθ )r²
A = ¹/₂ ( sin 130 ) (11.1²)
A = 47.2 m²
Area of the unshaded region is calculated as;
A' = 139.8 m² - 47.2 m²
A' = 92.6 m²
The area of the shaded region is calculated as follow;
A'' = 387.1 m² - 92.6 m²
A'' = 294.5 m²
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Is the distance a baseball travels in the air after being hit a discrete random variable, a continuous random variable, or not a random variable?
Answer: a continuous random variable
Step-by-step explanation:
Can you count the distance it traveled? You can't, so it couldn't be discrete because you can count discrete variables.
Can you measure the distance it traveled? You sure can, that makes it a continuous random variable.
Do you know the exact distance it's going to travel? You won't, therefore it's a random variable since you don't know the value beforehand.
At any point in time, there could be bicycles, tricycles, and
cars in the school parking lot. Today, there are 53 wheels in
total.
If there are 15 bicycles, tricycles,
and cars in total, how many
tricycles could be in the parking lot? List all possible answers.
Answer:
There may be 1 or 3 tricycles in the parking lot.
Step-by-step explanation:
Since at any point in time, there could be bicycles, tricycles, and cars in the school parking lot, and today, there are 53 wheels in total, if there are 15 bicycles, tricycles, and cars in total, to determine how many tricycles could be in the parking lot, the following calculation must be performed:
13 x 4 + 1 x 3 + 1 x 2 = 57
11 x 4 + 1 x 3 + 3 x 2 = 53
10 x 4 + 3 x 3 + 2 x 2 = 53
8 x 4 + 5 x 3 + 2 x 2 = 51
10 x 2 + 1 x 3 + 4 x 4 = 39
9 x 3 + 1 x 2 + 5 x 4 = 49
Therefore, there may be 1 or 3 tricycles in the parking lot.
What is the area of the trapezoid?
176 cm2
192 cm2
208 cm2
224 cm2
Answer:A. This is the formula for the area of a trapezoid: a+b/2 x height (a and b being the bases)
Step-by-step explanation: Use the formula. 10+12=22. 22/2 is 11. 11 x 16 is 176. Therefore, the answer is A.
Question
The sum of three consecutive even integers is -312. Find the Integers.
Answer:
-105, -104, -103
Step-by-step explanation:
lets the numbers be:
x
x+1
x+2
so:
x+(x+1)+(x+2)=-312
x+x+x+1+2=-312
3x+3=-312
3x=-312-3=-315
x=-315/3=-105
Identify the transformation that occurs to create the graph of g(x). g(x)=f(x)-7
Answer:
g(x) is obtained by shift the function f(x) down 7 units by subtracting 7 units from f(x).
Step-by-step explanation:
We are given that
[tex]g(x)=f(x)-7[/tex]
We have to identify the transformation that occurs to create the graph of g(x).
To identify the transformation that occurs to create the graph of g(x)
We will subtract the 7 from f(x).
Let f(x) be any function
[tex]g(x)=f(x)-k[/tex]
It means g(x) obtained by shift the function f(x) down k units by subtracting k units from f(x).
Therefore, g(x) is obtained by shift the function f(x) down 7 units by subtracting 7 units from f(x).
Which describes the transformation applied in the figure above?
1. Quadrilateral D’E’F’G’ was shifted down 6 units.
2. Quadrilateral DEFG was shifted up 6 units.
3. Quadrilateral D’E’F’G’ was reflected about the x-axis.
4. Quadrilateral DEFG was rotated counterclockwise 180 degrees about the point (-1,4).
Answer:
2 Quadrilateral DEFG was shifted up 6 units.
Step-by-step explanation:
trust me cuz when there is ' its not the orginal shape
The length of the box is 15 centimeters, the breadth of the box is 20 centimeter, the height of a box, 20 centimeter fine its volume. Step by step
Answer:
volume=length×width×height
v=15×20×20
v=6000
Hello can anyone pls help with this multiple choice question
Answer:
The correct answer is the last one
Step-by-step explanation:
What is the coefficient of x2 in the expansion of (x + 2)??
O A.
2
OB.
3
O C.
4
OD.
6
x+2 in expansion of (x+2) ?
A
Suppose that 20° of boys opted for mathematics and 40% of girls opted for mathematics. What is the probability that a student opted for mathematics if half of the class is girls?
Answer: 30%
Step-by-step explanation:
Let A be the probability of a student opting for mathematics - it consists of either boy opting for mathematics or girl opting for mathematics. As there is "or" we need to sum these probabilities.
[tex]P(A) = P(B)* P(M|G) + P(G)*P(M|G)[/tex]
[tex]P(A) = \frac{1}{2} * \frac{20}{100} + \frac{1}{2} * \frac{40}{100}[/tex]
[tex]P(A) = 3/10 = 0.3[/tex]
=> 30%
Answer:
30% Chance
Step-by-step explanation:
This one is rather simple. If half the class is girls, split 40 into half. Do the same with 20 if half is boys. Add 10 and 20 and you get 30.
The maintenance department at the main campus of a large state university receives daily requests to replace fluorecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 54 and a standard deviation of 3. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 54 and 63?
Answer:
The approximate percentage of lightbulb replacement requests numbering between 54 and 63 is of 49.85%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 54, standard deviation = 3.
What is the approximate percentage of lightbulb replacement requests numbering between 54 and 63?
63 = 54 + 3*3
So between the mean and 3 standard deviations above the mean.
The normal distribution is symmetric, which means that 50% of the values are below the mean and 50% are above.
Of those 50% above, 99.7% are below 63. So
0.5*0.997 = 0.4985
0.4985*100% = 49.85%
The approximate percentage of lightbulb replacement requests numbering between 54 and 63 is of 49.85%.
team A ships 6 times as many as team B and one third as many as team C. if team C ships 287450 packages, how many packages does team B ships?
Answer:
95816.666667
explained
1÷3*287450
Which of the following is an x-intercept of the function, f(x) = x3 – x2 - 8x +12?
O A. -4
B. 3
C. 4
D. -3
Can someone help me please..
Answer:
linear function
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The graph is a straight line, so it's a linear function.
Answer: B
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Answer:
Slope: 2/3
Y-intercept: 6
Please help !!!! will mark brainliest !!
Answer:
the first one
Step-by-step explanation:
Which statement best compares the two functions? The minimum of function A occurs 1 unit higher than the minimum of function B. The minimum of function A occurs 3 units higher than the minimum of function B. The minimum of function A occurs 5 units lower than the minimum of function B. The minimum of function A occurs 7 units lower than the minimum of function B.
Answer: D: The minimum value of A occurs 7 units lower than minimum of function B.
Step-by-step explanation: The minimum of function A is at (3,-2), while the minimum of function B would be at (-3,5). So, you do 5-(-2) to get 7.
The minimum value of A occurs 7 units lower than the minimum of function B.
We have given that,
Statement best compares the two functions
What is the minimum and maximum function?
The maxima and minima of a function, known collectively as extrema, are the largest and smallest value of the function, either within a given range, or on the entire domain.
The minimum of function A is at (3,-2), while the minimum of function B would be at (-3,5). So, you do 5-(-2) to get 7.
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Find m angle RQH if m angle HQP=95^ and m angle RQP=152^
Answer:
[tex] \large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N : }}[/tex]
[tex] \large{ \tt{✽ \: m \: \angle \: RQP = m \: \angle \: RQH + m \: \angle \: HQP}}[/tex]
[tex] \large{ \tt{⇾ \: 152 \degree = \: m \: \angle \: \: RQH + 95 \degree}}[/tex]
[tex] \large{ \tt{⇾ \: 152 \degree - 95 \degree = m \: \angle \: RQH}}[/tex]
[tex] \boxed{ \large{ \tt{⇾ \: 57 \degree = m \: \angle \: RQH}}}[/tex]
Our final answer : 57° . Hope I helped! Let me know if you have any questions regarding my answer! :)▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Helppp and explain!!!
Please help!!! Picture included
Step-by-step explanation:
A is your answer.
You just have to solve for each function individually and see what the roots are.
9514 1404 393Answer:
(a) f(x) = 2x² -2
Step-by-step explanation:
The function has two zeros, at -1 and 1, so is not a linear or square root function. The only viable choice is the correct one:
f(x) = 2x² -2
10. Football: A kicker on a professional football
team made 45 of 48 field goal attempts.
a. What percent of his attempts did he
make?
b. What percent did he miss? Would you keep
this player on your team or trade for a new
kicker?
Answer:
a) 93.75%; 6.25%
b) Keep :)
Step-by-step explanation:
1. Made percentage[tex]\frac{45}{48}=0.9375=93.75[/tex]
93.75% made
2. Missed percentage[tex]\frac{3}{48}=0.0625=6.25[/tex]6.25% missed
Hope this helped! Please mark brainliest :)
what is the value of x
