Answer:
k=21
Step-by-step explanation:
x=7 X y=3 = 21
7 x 3 = 21
Answer:21
Step-by-step explanation:
xy=k
k=xy x=7 y=3
k=7 x 3
k=21
A television show tests the abilities of alleged psychics by presenting contestants with a set of
4
44 cards placed upside down,
1
11 of which has a star printed on it. Each contestant attempts to identify which card has the star on it for a series of
50
5050 trials.
Assuming that the contestants are purely guessing, what are the mean and standard deviation of the number of trials where the contestant guesses correctly?
Answer:
The mean and standard deviation of the number of trials where the contestant guesses correctly are 12.50 and 3.062.
Step-by-step explanation:
Total number of cards presented to the contestants, N = 4.
Number of cards that has a star printed on it is, x = 1.
The probability of selecting the correct card is:
[tex]P(X)=\frac{x}{N}=\frac{1}{4}=0.25[/tex]
It is provided that each contestant attempts to identify which card has the star on it for a series of n = 50 trials.
Each trial's outcome is independent of other outcomes.
The success of each trial is denoted by the correct selection of the card with a star.
The random variable X can be explained by the Binomial distribution.
So, X follows a Binomial distribution with parameters n = 50 and p = 0.25.
The mean and standard deviation of a Binomial distribution are:
[tex]\text{Mean}=np\\\\\text{SD}=\sqrt{np(1-p)}[/tex]
Compute the mean and standard deviation of the number of trials where the contestant guesses correctly as follows:
[tex]\text{Mean}=np=50\times 0.25=12.50\\\\\text{SD}=\sqrt{np(1-p)}=\sqrt{50\times 0.25\times (1-0.25)}=3.062[/tex]
Thus, the mean and standard deviation of the number of trials where the contestant guesses correctly are 12.50 and 3.062.
[tex]N = 4[/tex] is the overall number of points distributed to the contestant, [tex]x = 1[/tex] reflects the number of decks with a star on them. The probability of selecting the correct card is as follows:
[tex]\to P(X)=\frac{x}{N}=\frac{1}{4}=0.25[/tex]
For a total of n = 50 trials, each competitor must determine whichever card has the star on it.The result of each trial is different from the results of the others.A proper selection of a card with such a star shows the success of each trial.The Binomial distributions can account for such a random value of x, As a result, X has a binomial distribution having values [tex]n = 50[/tex] and [tex]p = 0.25[/tex].The Binomial distribution does have the following mean and standard deviation:[tex]\to \text{Mean =np}\\\\\to \text{SD}=\sqrt{np(1-p)}\\\\[/tex]
Determine the mean difference of the number of tests where the contender correctly guesses:[tex]\to \text{Mean =np}= 50 \times 0.25= 12.5\\\\[/tex]
[tex]\to SD=\sqrt{np(1-p)}[/tex]
[tex]=\sqrt{50 \times 0.25 \times (1-0.25)}\\\\=\sqrt{50 \times 0.25 \times (0.75)}\\\\= \sqrt{12.5 \times 0.75}\\\\=\sqrt{9.375}\\\\=3.061[/tex]
As just a result, the standard deviation of the number most right guesses by the competitor are [tex]12.50 \ \ and\ \ 3.061[/tex], correspondingly.
Learn more about the contestant guesses:
brainly.com/question/1302166
Solve 20x = 10 for x. A. x = 1/2 B. x = 1.5 C. x = 2 D. x = 10
Answer:
A. 1/2
Step-by-step explanation:
20x=10
Divide 20 on both sides of the equation to get x by itself
20x=10
___. __
20. 20
x =1/2
Answer:
A) x= 1/2
Step-by-step explanation:
20x= 10 we then divide 10 by 20 to get x= 10/20 or if we simplify x= 1/2. Thus answer choice A) is correct!
Write an inequality that best matches this description
Mary has at least 3 times the amount of cash that ashley and oscar have combined
Answer:
[tex]x \geq 3(y + z)[/tex]
Step-by-step explanation:
I am going to say that:
Mary's amount is x.
Ashley's amount is y.
Oscar's amount is z.
Mary has at least 3 times the amount of cash that ashley and oscar have combined
Ashley's and Oscar's combined amount is y + z.
3 times this amount is 3(y + z).
At least 3 times means that z is equal or greater than 3(y + z).
So
[tex]x \geq 3(y + z)[/tex]
Jess spins a pointer 25 times and finds an experimental probability of the pointer landing on 3 to be or 16%. The theoretical probability of the spinner landing on 3 is or 25%. Why might there be a significant difference between the theoretical and experimental probabilities?
Answer:
The experimental probability depends on how many times you're spinning it and theoretical probability is stating what "would" happen if you're only spinning it once. After you get the theoretical probability, you would multiply that percentage by 25 to get the experimental probability percentage.
Step-by-step explanation:
The experimental probability depends on the number of times the experiment is conducted. The result from a theoretical probability is what would happen if the experiment is done once.
What is the probability?Probability determines how likely a stated event would occur. The probability the event occurs is 1 and the probability that the event does not occur is 0. Experimental probability is based on the result of an experiment that has been carried out multiples times
To learn more about probability, please check: brainly.com/question/13234031
#SPJ2
what is 7 divided by 1/3 in multiplication is it A.1/3 multiplied by 7 =k B. 1/3 multiplied by k=7 or C. 1/3=k multiplied by 7. Please Try to give the correct answer!
Answer:
B. 1/3 multiplied by k=7
Step-by-step explanation:
7 ÷ ⅓ = k
Multiply both sides by ⅓
7 ÷ ⅓ × ⅓ = k × ⅓
7 = k × ⅓
What equations have many solutions
76x+76=76x+76
76x+76=-76x+76
-76x+76=-76x+76
-76x+76=76x+76
Answer:
[tex]76x+76=76x+76\\-76x+76=-76x+76[/tex]
Step-by-step explanation:
They have the same values and the same signs, therefore, they cancel each other giving a result of 0=0
Answer:
0
Step-by-step explanation:
This equation actually has more than one equal sign
I really need help!! HELP ASAP PLEASE!!!
Which figure has an area of 12 square units?
Answer:
Should be the bottom one
Step-by-step explanation:
You can find this by counting. It is the only one with 12 units.
Answer:
Step-by-step explanation:is number 4 i pick it and its correct
David is preparing a report to show
Answer:
cool?
who's david den
Step-by-step explanation:
Answer:
He shoud use a table or chart.
Step-by-step explanation:
I answered this question before
What is k in terms of n?
Answer:
i think its newton.
Step-by-step explanation:
Tell whether the events are DEPENDENT or INDEPENDENT.
You roll number cube and select a card from a standard deck of cards.
Event A: You roll a 3.
Event B: You select a face card.
Answer:
event A is dependent on event B since roll 3 will result if you select a face card
I really need some HELP.............
Answer:
119000
Step-by-step explanation:
The median is the middle value when placed from smallest to largest
95000, 112000, 126000, 13000
The middle is between 112000 and 126000 so take the average
(112000+126000)/2 =238000/2 =119000
tommy has a car with a 22-gallon gas tank that yields 16 miles per gallon. How far can he drive on a full tank of gas?
Answer:
On a full tank of gas, Tommy can drive a distance:
D = 22 x 16 = 352 miles
Hope this helps!
:)
Answer:352 miles
Step-by-step explanation:
1 gallons for 16 miles
22 gallons for ______
For 22 gallons 22x16=352 miles
f(x)=2x^2+x-4
find (-10)
Answer:
F(-10)=186
Step-by-step explanation:
F(-10)=2(-10)^2+(-10)-4
F(-10)=2*100+(-14)
F(-10)=200-14
Therefore, F(-10)=186
Answer:
The answer is 186
Step-by-step explanation:
On the first day of school, each student is given $0.50 to attend. On day two, each student earns $1.00. on day 3, $2.00, etc. How much do students earn on the 9th day
Answer:
255.50
Step-by-step explanation:
If each day the number is doubled, then all you must do is keep on doubling to the ninth day and then add it all together
Riley is solving a problem to find the number of tents comma sleeping bags comma and backpacks that she should order. She wrote a system of equations and solved the system. She found that her general solution was (x comma y comma z )equals (15 minus 3 z comma 20 plus 2 z comma z )How many solutions are there to her problem?
Answer:
6
Step-by-step explanation:
If we place no restrictions on the values of the variables, there are an infinite number of possible solutions.
In this scenario, it is reasonable to require all variables have non-negative integer values. That restricts the solutions to ...
(x, y, z) ∈ {(15, 20, 0), (12, 22, 1), (9, 24, 2), (6, 26, 3), (3, 28, 4), (0, 30, 5)}
There are 6 solutions to her problem.
Which description matches finding the volume of the solid ?
Answer:
As shown in the picture, the volume of solid is
V = Rectangular prism - half cylinder
Hope this helps!
:)
Answer:
Last option
Step-by-step explanation:
It's a cuboid/rectangular prism
The curve on top is due to half a cylinder being removed
Which would be used to solve this equation? Check all that apply.
p
- = 12
3
subtracting 3 from both sides of the equation
multiplying both sides of the equation by 3
dividing both sides of the equation by 3
substituting 4 for p to check the solution
substituting 36 for p to check the solution
Answer:
multiplying both sides of the equation by 3substituting 36 for p to check the solutionStep-by-step explanation:
To undo the division of p by 3, one multiplies by the inverse of 1/3. That is, one multiplies by 3.
Then you have ...
3(p/3) = 3(12)
p = 36 . . . . . simplify
To check this work, you can substitute 36 for p:
36/3 = 12 . . . . . true statement
So, the solution process is ...
multiply both sides of the equation by 3
substitute 36 for p to check the work
Answer:
multiplying both sides of the equation by 3substituting 36 for p to check the solutionStep-by-step explanation:
I took the assignment and it's correct :)
Good luck ;)
The lengths of pregnancies are normally distributed with a mean of 250 days and a standard deviation of 15 days.
a. Find the probability of a pregnancy lasting 308 days or longer?
b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature.
Answer:
a) 0.005% probability of a pregnancy lasting 308 days or longer
b) The pregnancy length that separates premature babies from those who are not premature is 229 days.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 250, \sigma = 15[/tex]
a. Find the probability of a pregnancy lasting 308 days or longer?
This is 1 subtracted by the pvalue of Z when X = 308. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{308 - 250}{15}[/tex]
[tex]Z = 3.87[/tex]
[tex]Z = 3.87[/tex] has a pvalue of 0.99995
1 - 0.99995 - 0.00005
0.005% probability of a pregnancy lasting 308 days or longer
b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature.
The 8th percentile is X when Z has a pvalue of 0.08. So it is X when Z = -1.405.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.405 = \frac{X - 250}{15}[/tex]
[tex]X - 250 = -1.405*15[/tex]
[tex]X = -1.405*15 + 250[/tex]
[tex]X = 229[/tex]
The pregnancy length that separates premature babies from those who are not premature is 229 days.
What is 9/40 as a percentage
Answer:
22.5%
Step-by-step explanation:
what is the perimeter of a parallelogram with length 26cm , 24cm and base 25cm?
Answer:
Step-by-step explanation:
P=2(a+b)
2(26+25)
=102 ans
Answer:
102 cm
Step-by-step explanation:
P=2(a+b)
P = 2(26+25)
= 2 * 51
= 102
What is the solution of the equation x2 = 64?
18
Answer:
x = ±8
Step-by-step explanation:
x^2 = 64
Take the square root of each side
sqrt(x^2) = ±sqrt(64)
x = ±8
Graph the circle (x-3)^2+(y-7)^2=4
Compute: 10:00 - 2:30
Answer:
4 hr and 30 minutes?
Step-by-step explanation:
You didnt really specify soo. 11 12 1 2 2:30
1hr 2hr 3hr 4hr 30 min
Answer:7:30
Step-by-step explanation:
100 POINTS.
PLEASE PROVIDES STEPS.
FIND THE INTEGRALS.
Answer:
10. ⅔ − ∛e
11. 79 + 3√3
Step-by-step explanation:
10. ∫ (1 + 1/x) dx
∫ dx + ∫ (1/x) dx
These are both standard integrals.
x + ln|x| + C
Evaluate between x = ∛e and x = 1.
(1 + ln|1| + C) − (∛e + ln|∛e| + C)
1 + 0 + C − ∛e − ⅓ − C
⅔ − ∛e
11. ∫₁³ (4x³ + ³/₂√x) dx
∫₁³ 4x³ dx + ∫₁³ (³/₂ x^½) dx
(x⁴ + x^(³/₂) + C) |₁³
(x⁴ + x√x + C) |₁³
(3⁴ + 3√3 + C) − (1⁴ + 1√1 + C)
81 + 3√3 + C − 1 − 1 − C
79 + 3√3
The solutions and answers are in the picture below.
Best of Luck!
[ Cuiu be made.
There are 24 boys for every 36 girls (24:36 ratio)
There are
boys for every
girls
try
Type in an equivalent ratio of boys and girls.
Answer:
24/36 = 12 x 2/12 x 3 = 2/3.
Step-by-step explanation:
Which shows the decimal 0.16 expressed as a fraction in the simplest form?
Answer:
.16 = 16/100= 8/50= 4/25
Step-by-step explanation:
Answer:
decimal: 0.16
fraction: 4/25
percentage: 16%
Step-by-step explanation:
Select two ratios that are equivalent to 7: 10.
Choose 2 answers:
Answer:
I hope this helps. Have a great rest of your day!
Do you mind showing the answer choices? I just realized you had "Choose 2 answers".
Solve 5(5x + 3) = -10
Answer: it is -1
Step-by-step explanation:
5*5x=25x
5*3=15
25x+15=-10
25x= -10-15
25x= -25
X=-25/25
= -1
uy Islari
ce Area and Volume
1
Note: Figure is not drawn to scale
If h = 8 units and r = 5 units, then what is the approximate volume of the cone shown above?
Answer:
[tex]209.43 \: \: {units}^{3} [/tex]
Step-by-step explanation:
[tex]v = \pi {r}^{2} \frac{h}{3} \\ = \pi \times {5}^{2} \times \frac{8}{3} \\ = 209.439[/tex]
Which is a solution of the system of equations shown?
A. (−4, 0)
B. (2, −4)
C. (0, −2)
D. (2, 0)
Answer:
D. (2, 0)
Step-by-step explanation:
The solutions are the two points of intersection of the graphs:
(-2, -4) and (2, 0)
The latter of these corresponds to choice D, the one you have marked.
