Approximately 10% of all people are left-handed. Consider a grouping of fifteen people.
Write the probability distribution
Answer:
Step-by-step explanation:
Answer:
15*.1=1.5
so either one or two people of the 15 would be left handed
a bag contain 3 black balls and 2 white balls.
1. A ball is taken from the black and then replaced, a second is taken. what is the probabilities that.
(a) there are both black,
(b)one is black one is white,
(c) at lease one is black,
(d) at most one is one is black.
2. find out if all the balls are chosen without replacement.
please kindly solve with explanation. thank you.
Answer:
Step-by-step explanation:
Total number of balls = 3 + 2 = 5
1)
a)
[tex]Probability \ of \ taking \ 2 \ black \ ball \ with \ replacement\\\\ = \frac{3C_1}{5C_1} \times \frac{3C_1}{5C_1} =\frac{3}{5} \times \frac{3}{5} = \frac{9}{25}\\\\[/tex]
b)
[tex]Probability \ of \ one \ black \ and \ one\ white \ with \ replacement \\\\= \frac{3C_1}{5C_1} \times \frac{2C_1}{5C_1} = \frac{3}{5} \times \frac{2}{5} = \frac{6}{25}[/tex]
c)
Probability of at least one black( means BB or BW or WB)
[tex]=\frac{3}{5} \times \frac{3}{5} + \frac{3}{5} \times \frac{2}{5} + \frac{2}{5} \times \frac{3}{5} \\\\= \frac{9}{25} + \frac{6}{25} + \frac{6}{25}\\\\= \frac{21}{25}[/tex]
d)
Probability of at most one black ( means WW or WB or BW)
[tex]=\frac{2}{5} \times \frac{2}{5} + \frac{3}{5} \times \frac{2}{5} \times \frac{2}{5} + \frac{3}{5}\\\\= \frac{4}{25} + \frac{6}{25} + \frac{6}{25}\\\\=\frac{16}{25}[/tex]
2)
a) Probability both black without replacement
[tex]=\frac{3}{5} \times \frac{2}{4}\\\\=\frac{6}{20}\\\\=\frac{3}{10}[/tex]
b) Probability of one black and one white
[tex]=\frac{3}{5} \times \frac{2}{4}\\\\=\frac{6}{20}\\\\=\frac{3}{10}[/tex]
c) Probability of at least one black ( BB or BW or WB)
[tex]=\frac{3}{5} \times \frac{2}{4} + \frac{3}{5} \times \frac{2}{4} + \frac{2}{5} \times \frac{3}{4}\\\\=\frac{6}{20} + \frac{6}{20} + \frac{6}{20} \\\\=\frac{18}{20} \\\\=\frac{9}{10}[/tex]
d) Probability of at most one black ( BW or WW or WB)
[tex]=\frac{3}{5} \times \frac{2}{4} + \frac{2}{5} \times \frac{1}{4} + \frac{2}{5} \times \frac{3}{4}\\\\=\frac{6}{20} + \frac{2}{20} + \frac{6}{20} \\\\=\frac{14}{20}\\\\=\frac{7}{10}[/tex]
X⁴-6x²-7-8x-x² what is the answers
Answer:
X⁴-7x²-8x-7
Step-by-step explanation:
in the past year bill watch 64 movies that he thought were very good he watched 80 movies over the whole year of the movies he watched what percentage did he rate as very good
Answer:
he rate it 16%
Step-by-step explanation:
64-80\100=16
Angela’s average for six math tests is 87. on her first four tests she had scores of 93, 87, 82, and 86. on her last tests she scored 4 points lower than she did on her fifth test what scores did Angela receive on her firth and sixth tests?
Answer:
the scores on her last test is x (x > 0)
because on her last tests she scored 4 points lower than she did on her fifth test
=> the scores in the 5th test is x + 4
because Angela’s average for six math tests is 87, we have:
[tex] \frac{93 + 87 + 82 + 86 + x + x + 4}{6} = 87 \\ \\ < = > \frac{352 + 2x}{6} = 87 \\ \\ < = > 352 + 2x = 522 \\ \\ < = > 2x = 170 \\ \\ < = > x = 85[/tex]
=> on her last test, she had 85
=> on her 5th test, she had 85 + 4 = 89
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
Evaluate 19C1 PLEASE HELP
Answer:
[tex]{19}C_1=19[/tex]
Step-by-step explanation:
We need to find the value of [tex]{19}C_1[/tex].
C stands for combination.
The formula of combination is as follows :
[tex]nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Here,
n = 19 and r = 1
So,
[tex]nC_r=\dfrac{19!}{1!(19-1)!}\\\\nC_r=\dfrac{19!}{1!\times 18!}\\\\nC_r=\dfrac{19\times 18!}{1!\times 18!}\\\\nC_r=19[/tex]
So, the value of [tex]{19}C_1[/tex] is 19.
Answer:
Your answer will be 19C1 =19
Jimmy thought he had purchased 7 folders, but purchased 6. What was his percent error?
Answer:
Step-by-step explanation:
Percent Error = | Actual Yield-Theoretical/ Theoretical Yield | *100%
Error= |-1/7|*100%= 14.29%
rotation 180 degrees about the origin.
Answer:
Take the picture you uploaded.
Click the rotate button twice.
Done
Use the relationship among the three angles of any triangle to solve. Two angles of a triangle have the same
measure and the third angle is 27° greater than the measure of the other two. Find the measure of each angle.
Please help :)
Answer:
51°,51°,78°
Step-by-step explanation:
The sum of angles in a triangle add up to 180°
The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 100 mm
Answer:
The radius is increasing at a rate of 62832 cubic millimeters per second when the diameter is of 100 mm.
Step-by-step explanation:
Volume of a sphere:
The volume of a sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
How fast is the volume increasing:
To find this, we have to differentiate the variables of the problem, which are V and r, implicitly in function of time. So
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
The radius of a sphere is increasing at a rate of 2 mm/s.
This means that [tex]\frac{dr}{dt} = 2[/tex]
How fast is the volume increasing (in mm3/s) when the diameter is 100 mm?
Radius is half the diameter, so [tex]r = \frac{100}{2} = 50[/tex]
Then
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt} = 4\pi (50)^2(2) = 62832[/tex]
The radius is increasing at a rate of 62832 cubic millimeters per second when the diameter is of 100 mm.
You are charged $9.33 total for a meal, assume the 7% sales tax, how much was the menu price of this item?
I have already tried
$8.68
$8.71
$8.67
all were wrong
Answer:
$8.71.
Step-by-step explanation:
Given that you are charged $ 9.33 total for a meal, assuming the 7% sales tax, to determine how much was the menu price of this item, the following calculation must be performed:
100 + 7 = 107
107 = 9.33
100 = X
100 x 9.33 / 107 = X
933/107 = X
8.71 = X
Therefore, the menu price of this item was $ 8.71.
Which one is a better deal?
paying $2.88 for a 12 roll package of toilet paper
paying $1.20 for a 6 roll package of toilet paper
Answer:
paying $1.20 for a 6 roll package of toilet paper
Step-by-step explanation:
to find the answer, double 6 to equal 12 and double the price as well. therefore, it is 2.40. since 2.40 is cheaper than 2.88, it is a better deal.
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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write the equation of the line shown in the graph above in slope-intercept form
Please help
Find the value of x if,
m∠5 = x-6, m∠4 = 2x+4, m∠2 = 2x-26
Answer:
Step-by-step explanation:
we are given the angles ∠5 , ∠4 , ∠3 , but with one variable, "X" :)
also we are told ∠AOC is bisected by OB , meaning that ∠1 = ∠2
and the EC is perpendicular to OD , so ∠4+∠5=90°
since we are given ∠4 & ∠5, lets use that to solve for "X"
:)
90= x-6 + 2x+4
90= 3x -2
92 =3x
30[tex]\frac{2}{3}[/tex] ° = x
30.6666666666666666 ° = x
Happy buys 5 litres of milk on Monday and uses a fifths of it. On Tuesday she uses
half of what is left. How many millilitres are left after Tuesday?
it is 2000 ml after she drank it on Tuesday
Answer:
2000 mL
Step-by-step explanation:
1. The amount of milk left after 1/5 is drank is 4 litres, which is 4000 mL.
2. She drinks half of that, so divide 4000 mL by two.
2000 mL are left after tuesday
need help asap!! (geometry)
Answer:
A. reflection.
Step-by-step explanation:
If you were to use the reflection rule, then your answer will be:
B' (Now D): (1 , 2)
A' (Now E): (4 , 2)
C' (Now F): (3 , 5)
In this case, the reflected triangle does not match the given points, therefore it cannot be reflection.
~
Please help me on this
Answer:
58.8 in²
Step-by-step explanation:
you have no calculator ?
since you clearly have a computer or smart phone - there are calculator apps on all of them.
you really just need to use the given numbers and multiply and add them following the formula. so, what is your problem ?
anyway,
2pi×r×h + 2pi×r²
h = 5.9
r = 1.3
2pi × 1.3 × 5.9 + 2pi × 1.3² = 2pi × 7.67 + 2pi × 1.69 =
= 58.8 in²
09:30 am - 4:30 pm minus 30 minutes?
Answer:
4:30
because 9:30 minus 4:30 = 5:00 and 5:00 minus 30 =4:30
slove the following systems of equations using any method. y= 3x + 7 , y= x- 9 , 3x- y= 1 , 7x + 2y = 37.
y=3× + 7 , y=×- 9 , 3×- 9 , 3×- y= 1 , 7× + 2y = 37.
ANSWER ASAP IM BEING TIMED
IF I GET AN A ON THIS I WILL DO ANOTHER POINT FREE DROP, PLEASE SHOW YOUR WORK
The lengths of three sides of a quadrilateral are shown below:
Side 1: 1y2 + 3y − 6
Side 2: 4y − 7 + 2y2
Side 3: 3y2 − 8 + 5y
The perimeter of the quadrilateral is 8y3 − 2y2 + 4y − 26.
Part A: What is the total length of sides 1, 2, and 3 of the quadrilateral? (4 points)
Part B: What is the length of the fourth side of the quadrilateral? (4 points)
Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points)
Answer:
Part A
(1y^2+3y-6)+(4y-7+2y^2)+(3y^2-8+5y)
6y^2+12y-21
You invest $15,000 into two different accounts. One of the accounts has 4% interest and the other has 3.2% interest. After one year, you have accumulated a total of $545.60 in interest. How much was initially invested in the account with 4% interest?
Answer:
(4%) ... $8200
Step-by-step explanation:
x + y = 15000
.04x + .032y = 545.60
y = 15000 - x
.04x + .032(15000 - x) = 545.60
.008x = 65.6
x=8200
The cost a company pays a lender for a loan is called interest.
The account received an initial investment of 8200 with 4% interest.
What is meant by interest?The cost of borrowing money is called interest, and it is typically expressed as a percentage, such as an annual percentage rate (APR). Lenders may charge interest to borrowers for using their funds, or borrowers may charge interest to lenders for using their funds.
The cost a company pays a lender (creditor) for a loan is called interest. Although many different arrangements are possible, interest payments are typically based on the remaining balance of a loan and paid on a monthly basis. At a predetermined interest rate, interest is typically calculated as a percentage of the loan balance.
From the given information, we get
x + y = 15000 ........(1)
0.04x + 0.032y = 545.60 ..........(2)
From (1),
y = 15000 - x
substitute the value of y in the above equation, we get
⇒ 0.04x + 0.032(15000 - x) = 545.60
simplifying the above equation, we get
⇒ 0.008x = 65.6
x = 8200
Therefore, 8200 was initially invested in the account with 4% interest.
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1-0.4^n>=0.99 howwwwwwwwwwwwwwwwwwwwwwwwww
Answer:
n>=6
Step-by-step explanation:
1-0.4ⁿ>=0.99
1-0.99>=0.4ⁿ
0.4ⁿ<=0.01
Apply log10:
Log10(0.4ⁿ)<=log10(0.01)
n×log10(0.4)<=log10(0.01)=-2
Because log10(0.4)=-0.39794 is negative we get:
n>=5.028.
Since n is integer, we have n>=6
A businessman spends 1/5 of his travel expense funds on a hotel room and 4/10 on airfare. What percentage of his travel expenses are left over?
Answer: 40%
Step-by-step explanation:
1/5=20%, 4/10=40%. 20 + 40 = 60. [ 100% - 60% = 40%]
Given right angle ABC, what the value of tan(A)?
5/13
12/13
12/5
13/12
need answer asap
Hi there!
[tex]\large\boxed{12/5}}[/tex]
tan (angle) = Opposite side / Adjacent side, so:
Tan (A) = opposite side / adjacent side
= 24 / 10
Simplify:
= 12 / 5
Is this right?? If not please tell me the answers
Answer:
TAMA PO
Step-by-step explanation:
Paki brainliest nadin po
Golf Scores In a professional golf tournament the players participate in four rounds of golf and the player with the lowest score after all four rounds is the champion. How well does a player's performance in the first round of the tournament predict the final score
Answer:
Mean scores.
Step-by-step explanation:
The golf player will score in the first round, according to these scores the golf player scores can be predicted. The golf player can perform high in first round but he may score lesser in the second round due to stress or mental pressure. The scores can be predicted taking mean of the scores and adding standard deviation to it.
Kobe is a basketball player. He is able to make a free throw 70% of the time. What is the probability that Kobe makes his 10th free throw on his 14th shot
Answer:
0.1636 = 16.36% probability that Kobe makes his 10th free throw on his 14th shot
Step-by-step explanation:
For each free throw, there are only two possible outcomes. Either he makes it, or he misses. The probability of making a free throw is independent of any other free throw, 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.
He is able to make a free throw 70% of the time.
This means that [tex]p = 0.7[/tex]
What is the probability that Kobe makes his 10th free throw on his 14th shot?
9 of his first 13(P(X = 9) when n = 13), and then the 10th with 0.7 probability.
Thus
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{13,9}.(0.7)^{9}.(0.3)^{3} = 0.2337[/tex]
0.7*0.2337 = 0.1636
0.1636 = 16.36% probability that Kobe makes his 10th free throw on his 14th shot
Indicate the method you would use to prove the triangles congruent. If no
method applies, enter "none."
O SSS
k O SAS
O ASA
© None
Step-by-step explanation:
I suspect we don't see the full information for the problem here.
all listed 3 methods are typically used to prove that triangles are congruent (= when turned to have the same orientation, they would simply cover each other completely - no overhanging parts from either triangle).
I guess there is a diagram with 2 triangles and what is known about them.
and since we cannot see them, we cannot tell you which method would apply here.
just remember
SSS means all 3 sides of one triangle are exactly the same as the 3 sides of the other triangle. if you know the lengths of all 3 sides, there is only one triangle you can create. you can only orient it differently.
SAS means two sides and the enclosed angle are the same. again, only one triangle can be created with that information.
ASA means one side and the 2 angles at the end points of that side are known. again, only one triangle can be created with that information.