Answer:
8
Step-by-step explanation:
The probability that Jaclyn wins exactly 2 times is 0.073
What is binomial probability?Binomial probability is the probability of exactly x successes on n repeated trials in an experiment with two possible outcomes. If the probability of success on an individual trial is p, then the binomial probability is ⁿCₓ⋅pˣ⋅(1−p)ⁿ⁻ˣ. Here ⁿCₓ indicates the number of different combinations of x objects selected from a set of n objects.
Given here:
She plays 16 times and the probability of her winning is 0.3
Thus applying the formula we get
= ¹⁶C₂× 0.3²× 0.7¹⁴
= 120×0.09×0.7¹⁴
=0.073
Hence, The probability that Jaclyn wins exactly 2 times is 0.073
Learn more about binomial probability here:
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What is the range of the relation below?
{(-4,1), (-2,0), (8, -1)}
Answer:
Range: {-1, 0, 1}
General Formulas and Concepts:
Math
Number LineAlgebra I
Range is the set of y-values that are outputted by function f(x){Set Builder Notation}Step-by-step explanation:
Step 1: Define
[Relation] {(-4, 1), (-2, 0), (8, -1)}
Step 2: Identify
According to the relation, our y-values are 1, 0, and -1. These values would encompass our range.
the cookie diameter is 14 cm how my much is the radius
Eight notebooks cost $10. At this rate, how much would 12 notebooks cost?
two number are in the ratio 5:6 if sum of three number is 132 . find the number.
I hope this help you
.........
In the following problem, Emily tried to calculate EG. However, she has made a mistake in her work. You need to identify and explain the mistake. Then, you must provide the correct solution.
Answer:
x = 66
Step-by-step explanation:
Emily's mistake is that part of the line is only x - 6, but she put 6x - 6
The first 6 shouldn't be there.
x - 6 = 72
x = 66
The actual correct answer is:
x = 78
Step-by-step explanation:
Although the explanation above is correct, the answer is wrong. It's not 66 because you are subtracting 6 from x. This means x needs to be 6 above 72.
Here is my step-by-step solution:
x - 6 = 72 <-- Given; Corrected Equation
x - 6 + 6 = 72 + 6 <-- Addition Property of Equality
x = 78 <-- Result from Solution
The amount of a radioactive substance remaining as it decays over time is A = A0(0.5)t/h ,where a represents the final amount
Ao represents the original amount, t represents the number of years, and h represents the half-life of the sibstance.
The half-life of the radioactive isotope carbon-14 is 5,730 years. Approximately how many years will it take a 50-gram mass of
carbon-14 to decay to 5 grams?
Carbon-14 will take 19,035 years to decay to 10 per cent.
What is the time of decay?
A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay.
An exponential decay can be described by the following formula:
[tex]N(t)=N_oe^{-\lambda t}[/tex]
Where:
No = The quantity of the substance that will decay.
N(t) = The quantity that still remains and has not yet decayed after a time t
[tex]\lambda[/tex] = The decay constant.
One important parameter related to radioactive decay is the half-life:
[tex]t_{1/2}=\dfrac{Ln(2)}{\lambda}[/tex]
If we know the value of the half-life, we can calculate the decay constant:
[tex]\lambda =\dfrac{ln(2)}{t_{1/2}}[/tex]
Carbon-14 has a half-life of 5,730 years, thus:
[tex]\lambda =\dfrac{ln(2)}{5730}[/tex]
[tex]\lambda[/tex] = 0.00012097
The equation of the remaining quantity of Carbon-14 is:
[tex]N(t)=N_oe^{-0.00012097t}[/tex]
We need to calculate the time required for the original amount to reach 10%, thus N(t)=0.10No
[tex]0.10N_o=-N_oe^{-0.00012097t}[/tex]
Simplifying:
[tex]0.10=e^{0.00012097t}[/tex]
Taking logarithms:
ln(0.10) = -0.00012097t
Solving for t:
[tex]t=\dfrac{Log0.10}{-0.00012097}[/tex]
t = 19035 years
Carbon-14 will take 19,035 years to decay to 10 per cent.
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real answer or i will report you if you give me a right aswer i will give brainest
Answer:
0 and the second one
Step-by-step explanation:
integers are whole numbers they are NOT a fraction
Answer:
0, 21/7
Step-by-step explanation:
fraction is not an integer so is square root
and 10^-1 is 0.1 which is not a integer
Any help would be nice
Answer:
<CPB
Step-by-step explanation:
Because the rest make obtuse angles or a right angle, only angle CPB is less than 90 degrees.
Which expression has the greatest value?
A: -2 x -2 divided by 1/2
B: -2 x -1/2 divided by 2
C: -2 x 1/2 divided by 1/2
D: -2 x 2 divided by 2
Answer:
A. -2 × -2 divided by 1/2
Step-by-step explanation:
-2 × -2 ÷ 1/2 =8
Jillian bought 2 3/4 pounds of flour. Victoria bought 1 1/2 times as much as Jillian. How many pounds of flour did Victoria buy?
Answer: 4.125
Step-by-step explanation:
2+3/4= 2.75
2.75•1.5= 4.125
Evaluate: 63 + 7 X 4
Answer:
91
Step-by-step explanation:
Multiplication first, so 7x4 = 28
28+63=91
Answer:
91
Step-by-step explanation:
multiply the numbers
7×4=28
63+28=91
add the numbers
91
A sportswriter wishes to see if a football filled with helium travels farther, on average, than a football filled with air. To test this hypothesis, the writer uses 18 male subjects, randomly divided into two groups of 9 subjects each. Group 1 kicks a football filled with helium to the recommended pressure, while Group 2 kicks a football filled with air to the same pressure. The sample mean yardage for Group 1 was barx2 = 30 yards with a standard deviation of s1 = 8 yards. The mean yardage for Group 2 was barx2 = 25 yards with a standard deviation of s2 = 6 yards. Assume that the two groups of kicks are independent. Let μ1 and μ2 represent the mean yardage we would observe for the entire population represented by the volunteers if all members of this population kicked, respectively, a helium-filled football and an air-filled football. Let σ1 and σ2 be the corresponding population standard deviations. Assuming two-sample t procedures are safe to use, what is a 99% confidence interval for μ1 – μ2?
A) 4 ± 7.7 yards.B) 4 ± 11.2 yards.C) 4 ± 4.7 yards.D) 4 ± 6.2 yards.
Answer:
5 ± 9.74
Step-by-step explanation:
Confidence interval, two - sample, t procedure ;
μ1 - μ2 = (x1 - x2) ± Tcritical*S
S = sqrt[(s1²/n1) + (s2²/n2)]
n1 = 9 ; n2 = 9 ; s1 = 8 ; s2 = 6 ; x1 = 30 ; x2 = 25
S = sqrt[(8^2/9) + (6^2/9)]
S = sqrt[11.111111]
S = 3.333
Tcritical at 99% confidence interval
df = 18 - 2= 16
Tcritical = 2.92
(30 - 25) ± 2.92*(3.333)
5 ± 9.74
Ohique earns $750 in the span of 25 days. How many days does he have to work if he wants to earn $1500?
Answer:
50
Step-by-step explanation:
750+750=1500 so 25+25=50 so the ansewer is 50
If 12 men or 15 women can finish a piece of work in 66 days, how long will 24 men and 3 women take to finish the work? Pls helppp thank you :)
Answer:
30 days
Step-by-step explanation:
Find the value of y.
Answer:
y = 6
Step-by-step explanation:
This is a special right triangle with angle measures 90° 60° 30°
the side length that sees angle measure 30 is represented with x
the side length that sees angle measure 90 is represented with 2x
and the side length that sees angle measure 60 is represented with x√3
the side length that sees angle measure 90 is given as 4√3 which means 2x = 4√3 divide both sides by 2
x = 2√3 now to find y, we need to multiply this value by √3
2√3 × √3 = 2 × 3
Ms.Johnson wants to buy donuts for her science class, she wants to buy 8 glazed donuts, 12 chocolate donuts, and 16 jelly donuts. What is the ratio of the number of glazed donuts to the total number of donuts?
Answer:
8/36
Step-by-step explanation:
7.
Mr. Aamodt bought a new lawn tractor for $3,350.
a.
The state sales tax on the lawn tractor purchase will be 6.5%. How much state
sales tax will Mr. Aamodt pay on the tractor? (2 points)
b.
Mr. Aamodt has applied for a 2-year loan at the bank for $3,350 to pay for
the new lawn tractor. The bank will charge him 8.4% simple interest on the
loan. What amount of interest will Mr. Aamodt pay on the loan? (2 points)
C.
What is the total cost of Mr. Aamodt's new lawn tractor, including the purchase
price, the loan interest, and the sales tax? (2 points)
Answer:
7. Mister as an umbrella a new lawn tractor for 3035 $0 a the state sales tax the lawn tractor purchase will be 6. 5% how much states sells tax will mr. pay for the tractor two points? mister I can apply for 2 years loan for the bank for new tra
A farmer has harvested 1.6 tons of sweet potatoes from one-quarter of an
acre. How many tons will he harvest from one acre
Answer: there is no pic
Step-by-step explanation:
Answer:
6.4 tons
Step-by-step explanation:
Please help Me I gotta finish and no lying please. (NO LINKS) Please help mee
15) Max has his eye on a new pair of sneakers that cost $120. He decided
he would not purchase the shoes until there was at least a 30% discount.
What was the cost Max was willing to pay for the sneakers?
What happens to the pitch you hear when two sound waves constructively
interfere?
A. It increases due to the Doppler effect.
B. It decreases due to the Doppler effect.
C. The pitch does not change.
D. You hear the pitch of the louder sound.
Answer: D
Sound waves with higher amplitudes sound louder than sound waves with lower amplitudes. Constructive interference will make a sound louder while destructive interference will make a sound quieter. Two waves that add together may have different frequencies.
There are 20%, percent more goblins than wizards in magic club. There are 120 goblins in magic club.
How many wizards are in the magic club?
Answer:
100
Step-by-step explanation:
Here is your answer
Let the number of wizards is x
20% more gobins than wizards.
ATQ
Hence Numbers of wizards are 100 in a magic club.
Answer:
480
Step-by-step explanation:
120 ------ [tex]\frac{20}{100}[/tex]
x ----------[tex]\frac{100}{100}[/tex]
x·[tex]\frac{20}{100} = 120\frac{100}{100}[/tex]
x= [tex]\frac{120}{0,2}[/tex]
x=600
600- 120= 480 wizards in the club
Which expression is equivalent to 10x2y + 25x2?
5x2(2y + 5)
5, x, 2, (2, y, + 5)
10x2(y + 25)
10, x, 2, (, y, + 25)
5x2y(5 + 20y)
5, x, 2, y, (5 + 20, y, )
10xy(x + 15y)
Answer:
12
Step-by-step explanation:
because i said so
HELP! WILL GIVE BRANLIEST + EXTRA POINTS!!!!
Answer:
130.25 ft.
Step-by-step explanation:
The semi circle has a length 1/2 of the circumference of the circle with a diameter of 25
C = πd = 3.14(25)
So, the semi circle has a length = 1/2(3.14)25) = 39.25
The distance for the rectangle = 33 + 25 + 33 = 91
Therefore, the total perimeter = 91 + 39.25 = 130.25
please help me need answers
Answer:
I think there is no solution
Step-by-step explanation:
What is the value of t in the following equation?
Kaitlyn buys 3 T-shirts for $14.95 each. What is the total cost
Answer: $44.85
Step-by-step explanation:
$14.95x3
is x=5 a solution to the equation 3b+3=38
yes or no
Answer:
no
Step-by-step explanation:
substitute b with 5
3(5)+3=38
Multiply
15+3=38
Add
it does not equal up
18=38
Answer:
yes Hgggggggggf the centergegge-eghrhtrhhhghgebbgegebeeebbe
Find the area of a quarter of a
circle (radius = 6)
9514 1404 393
Answer:
9π ≈ 28.27 square units
Step-by-step explanation:
The formula for the area of a circle is ...
A = πr² . . . . . radius r
For a radius of 6 units, the area is ...
A = π·6² = 36π . . . . . square units
The area of a quarter-circle is 1/4 of this:
quarter-circle area = (1/4)(36π) = 9π ≈ 28.27 . . . square units
I took a photo of the question.
Answer:
f(f(5)) = 11
Step-by-step explanation:
[tex]f(f(5)) \\ from \: the \: table \: f(5) = 9 \\ so \: f(f(5)) = f(9) \\ also \: from \: the \: table f(9) = 11 \\ so \: f(f(5)) = 11[/tex]
I hope that is useful for you
The area of the missing face is