Using the binomial distribution, it is found that:
3.1 There is a 0.5033 = 50.33% probability that he makes at most one sale.
3.2 There is a 0.8322 = 83.22% probability that he makes at least one sale.
3.3. There is a 0.4404 = 44.04% probability that he makes two or three sales.
3.4. There is a 0.0011 = 0.11% probability that he makes six sales.
What is the binomial distribution formula?
The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
1 out of 5 of consultations result is a sale, hence p = 1/5 = 0.2.8 consultations are considered, hence n = 8.Item 1:
The probability that he makes at most one sale is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.2)^{0}.(0.8)^{8} = 0.1678[/tex]
[tex]P(X = 1) = C_{8,1}.(0.2)^{1}.(0.8)^{7} = 0.3355[/tex]
Then:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.1678 + 0.3355 = 0.5033[/tex]
There is a 0.5033 = 50.33% probability that he makes at most one sale.
Item 2:
The probability that he makes at least one sale is:
P(X > 1) = 1 - P(X = 0) = 1 - 0.1678 = 0.8322.
There is a 0.8322 = 83.22% probability that he makes at least one sale.
Item 3:
The probability that he makes two or three sales is given by:
[tex]P(2 \leq X \leq 3) = 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 = 2) = C_{8,2}.(0.2)^{2}.(0.8)^{6} = 0.2936[/tex]
[tex]P(X = 3) = C_{8,1}.(0.2)^{3}.(0.8)^{5} = 0.1468[/tex]
Then:
[tex]P(2 \leq X \leq 3) = P(X = 2) + P(X = 3) = 0.2936 + 0.1468 = 0.4404[/tex]
There is a 0.4404 = 44.04% probability that he makes two or three sales.
Item 4:
The probability that he makes six sales is P(X = 6), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{8,6}.(0.2)^{6}.(0.8)^{2} = 0.0011[/tex]
There is a 0.0011 = 0.11% probability that he makes six sales.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
A random sample of people were surveyed on their favorite sport, as shown in the table below sorted by the respondent’s age.
What percent of the people between the ages of 21 and 34 prefer other sport and/or hate sports? Round your answer to the nearest tenth of a percent.
Answer:
22.5%
Step-by-step explanation:
The total of people surveyed between 21-34 is 40 and the total number who prefer other or hate sports is 9 so the percent is 9/40 which is equal to 2.25. Multiply this number by 100 to get it as a percent and you have 22.5%
22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."
What is Percentage?Percentage is a way of expressing a fraction or a portion of a whole as a value out of 100. It is denoted by the symbol "%". Percentages are used to represent proportions, ratios, or rates in a more easily understandable and comparable form.
To find the percentage of people between the ages of 21 and 34 who prefer other sports and/or hate sports, we need to calculate the proportion of the total respondents in that age group who have chosen "Other/Hate Sports."
The table shows that there are 9 people between the ages of 21 and 34 who prefer "Other/Hate Sports" out of a total of 40 respondents in that age group.
So, Percentage = (Number of people with the preference / Total number of respondents in the age group) x 100
= (9 / 40) x 100
= 22.5%
Therefore, 22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."
Learn more about Percentage here:
https://brainly.com/question/31616155
#SPJ2
find the mean absolute deviation of the data below:
7,4,7,7,2,10,12,8,7,5
Answer:
1.9
Step by step answer
step1 finding the mean
(7+4+7+7+2+10+12+8+7+5)/10 = 6.9
step2 Difference between each data
Difference between 7 and 6.9 is 0.1
Difference between 4 and 6.9 is 2.9
Difference between 7 and 6.9 is 0.1
Difference between 7 and 6.9 is 0.1
Difference between 2 and 6.9 is 4.9
Difference between 10 and 6.9 is 3.1
Difference between 12 and 6.9 is 5.1
Difference between 8 and 6.9 is 1.1
Difference between 7 and 6.9 is 0.1
Difference between 5 and 6.9 is 1.9
step3 add all the Difference
0.1 + 2.9+0.1+0.1+4.9+3.1+5.1+1.1+1.9 = 19.4
step4 divde it by n
19.4/10 = 1.9
so the answer is 1.9
A spinner and 4 cards are shown below:
A spinner with 5 equal sectors is shown in the figure. The colors Green, Blue, Purple, Yellow, and Red are marked on it. The arrow points at the purple color. Four cards are shown on the right side. The colors Red, Yellow, Blue, and Pink are marked on them.
Jane spins the spinner and selects a card without looking. What is the probability that the spinner stops at purple and a pink card is selected?
1 over 20
1 over 5
1 over 4
9 over 20
Answer:
1 over 20
Step-by-step explanation:
Given that:
a spinner and 4 cards
A Spinner ⇒ 5 equal sectors;Color: Blue,Purple,Yellow,Red,Green
Arrow point at purple
Four cards ⇒ Color : Red,Yellow,Blue,Pink
Jane spins the spinner & selects card without looking.
To Find - Probability spinner stops at purple & select pink card.
Solve:
Multiply 4 (the number of cards) with 5 (The number of equal sectors)
[tex]\frac{1}{5}\times\frac{1}{4}=\frac{1}{20}[/tex] {1 × 1 = 1} {5×4=20}
~lenvy~
Answer:
1 over 20
Step-by-step explanation:
Given the following:
1 spinner and 4 cards
A Spinner which has 5 equal sectors;Color: Green, Blue,Purple,Yellow,Red.
{Arrow point at purple}
Four cards ⇒ which color are Red,Yellow,Blue,Pink
Jane spins the spinner & selects card without looking.
To Find → Probability spinner stops at purple & select pink card.
Since, purple and pink only has one in each of Spinner/card
Thus,
Spinner (5 equal sectors - 1/5}
Card {4 cards - 1/4}
1/4 × 1/5 = 1/20
Hence, probability spinner stops at purple & select pink card is [A] 1/20
[RevyBreeze]
Clare asks Andre to play the following number puzzle:
Pick a number
Add 2
Multiply by 3
Subtract 7
Add your original number
Andre’s final result is 27.
Which number did he start with?
Answer:
The answer is 7.
Step-by-step explanation:
7 + 2 is 9.
9 x 3 =27
27 - 7 =20.
Since the original number is 7 then we add 7 to 20.
7 + 20 = 27.
So, the number he started with is 7.
im in nearpod
answer show wrk
Answer:15 boxes with 4 left over have a great day :)
Step-by-step explanation:
Can someone please help me with this questions I would really appreciate it thank you !!
Answer:
C
Step-by-step explanation:
The graph below shows the relationship between the number of pants sold and the cost. Choose two true statements.
A: The ordered pair (1, 9) represents the unit rate as cost per pair of pants.
B: The ordered pair (1, 18) represents the unit rate as cost per pair of pants.
A: The ordered pair (0,0) represents the fact that one pair of pants costs $0.
A: The ordered pair (0,0) represents the fact that zero pairs of pants costs $0.
Answer:
The ordered pair (1, 9) represents the unit rate as cost per pair of pants.
and
The ordered pair (0,0) represents the fact that zero pairs of pants costs $0.
Step-by-step explanation:
hope this helped
Question below! :)
Brainliest!
Answer:
Point C, because it is the only place on the picture where the lines cross.
Answer:
point C
Step-by-step explanation:
That is the point where they intersect
A box of breakfast cereal is 20 centimeters long, 7.5 centimeters wide, and 30 centimeters high. what is the volume of the box
Answer:
70 cubic feel. 3. Abox of oat cereal measures 24 centimeters long by 5 centimeters wide by 25 centimeters high.
Step-by-step explanation:
70 cubic feel. 3. Abox of oat cereal measures 24 centimeters long by 5 centimeters wide by 25 centimeters high.
Will give BRAINLY AND FIVE STARS and A THANKS
Answer:
7 to 49
Step-by-step explanation:
The patterns here are clear, a number times 7. 7 x 7 is 49 so this could be an equation to submit.
Answer:
k = 7h.
Step-by-step explanation:
Each value of k is 7 times the value of h.
So k = 7h.
please help its 5 questions also can u let me know if u can help me with the other ones
Answer:
[tex]1.76[/tex] days
Step-by-step explanation:
**Note this propably is not what you are looking for but it gets you the final answer.**
Given the eqaution [tex]y=9^{5x}[/tex]
Lets solve for x.
Step 1.
Rewirte the equation as [tex]y=a^{bx}[/tex]. Where [tex]a=9[/tex] and [tex]b=5[/tex].
Step 2.
Take the natural logarithm of both sides. Then rewrite the left hand side using properties of exponents/logarithms.
[tex]ln(y)=b*x*ln(a)[/tex]
Step 3.
Divide both sides of the equation by [tex]b[/tex]
[tex]\frac{ln(y)}{b} =x*ln(a)[/tex]
Step 4.
Divide both sides of the equation by [tex]ln(a)[/tex]
[tex]\frac{ln(y)}{b*ln(a)} =x[/tex]
Now we have our equation to solve for the number of days.
Step 5.
Plug [tex]9[/tex] back in for [tex]a[/tex] and [tex]5[/tex] back in for [tex]b[/tex].
[tex]\frac{ln(y)}{5*ln(9)} =x[/tex]
Step 6.
We are given 243 million for [tex]y[/tex].
Lets plug in 243 million.
[tex]\frac{ln(243,000,000)}{5*ln(9)} =x[/tex]
Step 7.
Solve for x.
[tex]x=1.7575419...[/tex]
Lets round to the hundreth's place.
[tex]x=1.76[/tex]
1.76 days
help solve this and reward is brainlist.
Answer:
[A] 20%
[B] 400%
Step-by-step explanation:
Part A:
To Find: Percentage
= Price in 1985/price in 2003
Thus,
$62000×100%=6200000÷310000=20%
Part B:
To FInd: Percentage increase
= (Price in 2003-price in 1985)/price in 1985
Thus,
$248000×100=$24800000÷62000=400%
[RevyBreeze]
HELP PLEASEE!!!
A prism is filled with 25 cubes with 1/2-unit side lengths. What is the volume of the prism in cubic units?
Answer:
3.125 cubic unit i guess
Answer:
3.125 unit cube is the answer i hope i helped u
Can you help me with this problem please
Answer:
7 units
Explanation :
Check out my work that I’ve attached
Let me know if you have any questions!
Have a nice rest of your day :)
Megan played 5 Sudoku games that were at medium
difficulty level. The mean completion time per game
was 5.9 minutes. She completed a sixth Sidoku game
in 2 minutes and 54 seconds. Which of the following
statements must be true about the changes between
Megan's completion times for the 6 games and her
completion times for the 5 games?
A) The mode of the 6 completion times decreased.
B) The median of the 6 completion times remained
the same.
C) The mean completion time per game for the
6 games increased by 2.9 minutes.
D) The mean completion time per game for the
6 games decreased by 30 seconds.
Can someone help with these questions??
Will be helpful
The smiths were just approved for a 25 year mortgage at an 11% fixed rate. if they had not filed bankruptcy in the past, they could have gotten a rate of 7%. if their loan amount is $128,000, how much more per month will the smiths be paying for their mortgage as a result of their bankruptcy? a. $349.86 b. $125,840.78 c. $904.68 d. $235.09 please select the best answer from the choices provided a b c d
The increase in monthly amortization has result of higher interest rate is $349.86.
We have given ,the smiths were just approved for a 25 year mortgage at an 11% fixed rate. if they had not filed bankruptcy in the past, they could have gotten a rate of 7%.
We have to calculate the mortage value when loan amount is,$128,000,
What is the amortization formula?[tex]A = P \times ((r(1+r)^n)/((1+r)^n-1))[/tex]
A = is the amortization
P = is the principal
r = is the rate
n = is the period
We have to compute for the amortization using the 11% interest rate.
[tex]A = $128000 \times ((0.11(1.11)^{25})/((1.11)^{25}-1))[/tex]
[tex]A = \$1,254.54[/tex]
When we solve manually, the answer should be divided by 12 because it was on a monthly basis.
Next we have to compute for the amortization using the 7% interest rate.
[tex]A = $128000 \times ((0.07(1.07)^25)/((1.07)^25-1))[/tex]
[tex]A = $904.68[/tex]
When solve manually, the answer should be divided by 12 because it was on a monthly basis.
Therefore, the increase in monthly amortization has result of higher interest rate is $349.86.
To learn more about the amortization visit:
https://brainly.com/question/10561878
three sides of a quadrilateral are the same length. q. the length of the fourth side is 7 inches. the perimeter of the quadrilateral is 40 inches. write an equation that represents the situation
Answer:
if you are trying to find the length of the other three sides then
40 = 3x + 7
Step-by-step explanation:
Solve one fourth ÷ 7 = ___. one eighth alt=one twenty fifth one twenty eighth one thirtieth
Answer:
[tex]\frac{1}{28}[/tex]
__________________________________________________________
SolveWhen doing problems like this where you have to divide fractions by whole numbers, you can try skip counting or multiplying.
So:
[tex]\frac{1/4}{7} = 28[/tex]because it skip counts 28 times.
28 as a fraction is [tex]\frac{28}{1}[/tex], which we have to flip to make [tex]\frac{1}{28}[/tex] as our answer.
__________________________________________________________
Questions?Ask in the comments box.
Find the missing angle.
Answer:
85 degrees
Step-by-step explanation:
The angles in a quadrilateral add to 360 degrees, so x+109+96+70=360.
This means that x=360-109-96-70=85 degrees
A shirt was originally priced at $80. The store is having a 25% off sale. How much will you pay for the shirt after the discount (not including tax)
$60
hope it helps...!!!
Brianna’s teacher asks her which of these three expressions are equivalent to each other. Expression A: 9x−3x−4 Expression B: 12x−4 Expression C: 5x+x−4
Answer:
expression a and c
Step-by-step explanation:
A. 9x-3x-4 = 6x-4
C. 5x+x-4 = 6x-4
hope this helps
Answer:
Expression A and C
Step-by-step explanation:
When Expression A is simplified it is 6x - 4. And for Expression C you add 5x and x, and then it’s 6x - 4. That makes them the same expression. So your answer would be Expression A and C.
I hope it helps! Have a great day!
Muffin ^^
A rectangular pool is 10 meters wide and 16 meters long.What is the area of the pool? What is asked?What are given?What is/are the operations to be used?What is the number sentence?What is the answer?
A=160 m
Solution:The formula for the Area of a rectangle is:A=LWIn the above formula, L stands for the length and W stands for the width.We are given:L=16 mW=10 mWe are asked to find the area of the rectangular pool.The operation that we're going to use here is:Multiplication.Multiply:A=16*10A=160 mHope it helps.
Do comment if you have any query.
- area: 160 m²
What is asked?- Asked to find the area of the rectangular pool.
What are given?- Given with width of the pool is 10 metres and length is 16 metres.
What is/are the operations to be used?- multiplication
What is the number sentence?- 10 * 16
What is the answer?- area: 160 m²
Additional ===========
area of rectangle = Length * WidthWhich pair shows equivalent expressions?
2x+10=-2(x-5)
-2(x+5)=2x-10
-2x-10=-2(x-5)
-2(x-5)=-2x-10
Answer:
-2(x-5)=-2x-10 = -20
or
-2(x-5)=-2x-10 = 20
Find x.
Round to the nearest tenth:
31°
у
X
400 ft
x = [ ? ]ft
Answer:
x = 466.7 fty = 240.3 ftFirst find the inner angle:
90° - 31°59°using sine rule:
[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]
[tex]\hookrightarrow \sf sin(59)= \dfrac{400}{x}[/tex]
[tex]\hookrightarrow \sf x = \dfrac{400}{sin(59)}[/tex]
[tex]\hookrightarrow \sf x = 466.6533[/tex]
[tex]\hookrightarrow \sf x = 466.7[/tex] ( rounded to nearest tenth )
====================================
using tan rule:
[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
[tex]\hookrightarrow \sf tan(59)= \dfrac{400}{y}[/tex]
[tex]\hookrightarrow \sf y= \dfrac{400}{ tan(59)}[/tex]
[tex]\hookrightarrow \sf y= 240.344[/tex]
[tex]\hookrightarrow \sf y= 240.3[/tex]
Answer:
y = 466.7 ft (nearest tenth)
Step-by-step explanation:
Using the Alternate Interior Angle Theorem
the angle inside the triangle that is opposite the side [tex]y[/tex] is 31°
Using the cos trig ratio:
[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]
where:
[tex]\theta[/tex] is the angleA is the side adjacent the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 31°A = 400 ftH = [tex]x[/tex]Substitute given values and solve for x:
[tex]\sf \implies cos(31)=\dfrac{400}{x}[/tex]
[tex]\sf \implies x=\dfrac{400}{cos(31)}[/tex]
[tex]\sf \implies x=466.7\:ft\:(nearest\:tenth)[/tex]
The image shows lines AB and CD.
Are the 2 lines parallel? Explain or show your reasoning.
No
Step-by-step explanation:To classify the lines as "parallel", the distance between both x-intercepts must be equivalent to the distance between both y-intercepts. In this case, the lines are not parallel because the distance between both y-intercepts is different than the distance of both x-intercepts.
Distance between two y-intercepts: 4 unitsDistance between two x-intercepts: 5 unitsSince 4 ≠ 5, the lines are not parallel.
Answer:
No, the lines are not parallel.
Step-by-step explanation:
Parallel lines have the same slope.
Therefore, find the slopes of both lines and compare.
Slope formula
[tex]\sf slope=\dfrac{change\:in\:y}{change\:in\:x}[/tex]
Line AB
A = (0, 6)
B = (8, 0)
[tex]\implies \sf slope=\dfrac{0-6}{8-0}=-\dfrac34[/tex]
Line CD
C = (-3, 4)
D = (0, 2)
[tex]\implies \sf slope=\dfrac{2-4}{0-(-3)}=-\dfrac23[/tex]
As the slopes of the 2 lines are different, the lines are not parallel.
In one week, a music store sold 9 guitars for a total of $3611. Electric guitars sold for $479
each and acoustic guitars sold for $339 each. Write and solve a system of equations to
determine how many of each type of guitar was sold.
Answer:
4 electric guitars and and 5 acoustic guitars were sold.
Step-by-step explanation:
Electric guitars: [tex]x[/tex]
Acoustic guitars: [tex]y[/tex]
[tex]y + x = 9\\y(339) + x(479) = 3611\\[/tex]
--------------------------------
[tex]y + x = 9\\339y + 479x = 3611[/tex]
--------------------------------
[tex](y + x = 9)339\\(339y + 479x = 3611)1[/tex]
--------------------------------
[tex]339y + 339x = 3051\\339y + 479x = 3611[/tex]
--------------------------------
[tex]-140x = -560\\x = \frac{-560}{-140} \\x = 4[/tex]
Choose any of the two equations in the first step and substitute 4 for [tex]x[/tex].
[tex]y + 4 = 9\\y = 9 - 4\\y = 5[/tex]
Therefore, there are 4 electric guitars and and 5 acoustic guitars were sold.
Note: In the elimination method of simultaneous equations, (+) + (+) = (-); (+) + (-) = (+) and (-) + (+) = (+) the signs addition or subtraction.
a phone call from a pay phone cost $3.18 for a 10 minute call. what is the cost per minute for the call?
Answer:
$0.318 per minute
Step-by-step explanation:
3.18/10 = 0.318
3.18 divided by 10 equals 0.318
Answer:
3.18 cents per minute
Step-by-step explanation:
318 cents / 10 minutes = 3.18 cents per minute
Use translation (x,y) to (x-8, y+4)
What is the image of A (2,6)
Answer:
(-6,10)
Step-by-step explanation:
This is simple, you just subtract 8 from the x value, and add 4 to the y value.
Hope this helps
simplified form of 2460−78+6884
Answer:
4502
Step-by-step explanation:
6884+78=6962
6962-2460=4502
