Complete question :
An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.
a. What is the probability that exactly 3 of these 15 crimes will be solved? b. What is the probability that at most 3 of these 15 crimes will be solved? c. What is the probability that more than 11 of these 15 crimes will be solved?
Answer:
0.17
0.29686
0.000092
Step-by-step explanation:
Given that :
Probability of success (p) = 0.3
Number of cases (n) = 15
1 - p = 1 - 0.3 = 0.7
Usung binomial distribution formula :
a. What is the probability that exactly 3 of these 15 crimes will be solved?
P(x = 3)
Recall:
P(x = x) = nCx * p^x * (1 - p)^(n-x)
P(x = 3) = 15C3 * 0.3^3 * 0.7^12
P(x = 3) = 455 *
P(x = 3) = 0.17
B.) What is the probability that at most 3 of these 15 crimes will be solved?
P( X ≤ 3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)
To save computation time, we can using the binomial probability calculator :
P( X ≤ 3) : 0.00474 + 0.03052 + 0.09156 + 0.17004 = 0.29686
c. What is the probability that more than 11 of these 15 crimes will be solved?
P( X > 11) = P(x = 12) + p(x = 13) + p(x = 14) + p(x = 15)
P( X > 11) = 0.000092
How many square feet of outdoor carpet will
we need for this hole?
?
ft?
3 ft
I ft
2 ft
4 ft
2 ft
12 ft
Answer:46
Step-by-step explanation:
The amount of outdoor carpet needed is 40 ft².
What is the Area of a Rectangle?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
Area of a rectangle = length × width.
The amount of square feet of outdoor carpet needed
= area of the largest rectangle in the image - (area of medium rectangle + area of the smallest rectangle)
The amount of square feet of outdoor carpet needed
= 12 × 4 - (3 × 2 + 2 × 1)
= 48 - (6 + 2)
= 40 ft²
Thus, 40 ft² outdoor carpet needed.
Learn more about area of a rectangle here:
brainly.com/question/25292087
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A truck carries 45 crates of water. Each crate holds 24 bottles of water. How many bottles of water does the truck hold?
A. 1,008
B. 1,080
C. 1,808
D. 1,888
Answer:
answer is 1,080
Step-by-step explanation:
45×24=1,080
please tell fast plzzzzzzzzzzz
Answer:
100
Step-by-step explanation:
73+26=99 and the nearest 10 to 99 is 100
100 because 73±36=99 and 100 is more
near to 99 then 140
i hope you this answer may help you to do your exercise
Based on experience, the probability that an incoming email is spam (an undesired message of solicitation) is 38%. If three emails are in my inbox, what is the probability that:A. All three messages are spam.B. At least one of the three messages are spam.C. None of the three messages are spam.
Answer:
0.0549
0.7617
0.2383
Step-by-step explanation:
Given that:
Probability that incoming email is spam ;
P(spam) = 0.38
If three emails are in my inbox, what is the probability that:
A. All three messages are spam.
P(1st message being spam) * p(second message being spam) * p(3rd message being spam)
= (0.38) * (0.38) * (0.38)
= 0.054872
= 0.0549
B. At least one of the three messages are spam.
1 - p(none of the 3 messages are spam)
P(none of the 3 messages are spam)
P(not spam) = 1 - p(spam) = 1 - 0.38 = 0.62
1 - [P(not spam) * p(not spam) * p(not spam)]
1 - (0.62 * 0.62 * 0.62)
= 1 - 0.238328
= 0.761672
= 0.7617
C. None of the three messages are spam.
P(not spam) = 1 - p(spam) = 1 - 0.38 = 0.62
P(not spam) * p(not spam) * p(not spam)
(0.62 * 0.62 * 0.62)
= 0.238328
= 0.2383
If g(x) = 4x - 6, find g(5).
What does this equal? [1+(7-2)]2=
Answer: 12
Step-by-step explanation: caculator
I need help please...
Answer:
[tex]a_n=11-10\,n[/tex]
Step-by-step explanation:
Notice that in the sequence :
1, -9, -19, ... one term differs from the following by a constant number that is subtracted from the first one. There is what is called a "common difference" (d = -10)
the first term is "1", and we can apply the formula for the nth term of an arithmetic sequence for which we know the first term , and the common difference:
[tex]a_n=a_1+(n-1) * d\\a_n=1\,+\,(n-1)*(-10)\\a_n=1-10\,n+\,10\\a_n=11-10\,n[/tex]
The zoom feature on a camera lens allows you to dilate what appears on the display. When you change from 100% to 600%, the new image on your screen in an enlargement of the original image with a scale factor of 5. If the new image is 36 millimeters wide, what was the width of the original image?
A: 6 mm
B: 2mm
C: 12 mm
D:5 mm
Answer:6mm
Step-by-step explanation:
So we know that you started with 100% and ended with 600% to get from 100 to 600 you would need to multiply by 6
100 * 6 = 600
So you know that to get back to your original number you would need to divide by 6
If you are trying to figure out what the original width is you would divide your current number by 6 to get the original number
36 / 6 = 6
Complete the equations to show the relationships between the numbers.
write you answers in the blanks.
1. 4 = blank × 10
2. 0.04 = blank × 10
3. 0.4 = blank × 10
4. 40 = blank × 10
Answer:
1)0.4, 2) 0.004, 3) 0.04, 4) 4
Which best describes how to solve the equation for x.
x/c = d
A. Multiply both sides by d.
B. Multiply both sides by c.
C. Divide both sides by d.
D. Divide both sides by c.
Answer:
B. multiply both sides by c.
Step-by-step explanation:
To solve the equation for x, you have to isolate the x variable on one side of the equation. To do this, do the opposite of any operation applied to x to remove other variables from the x's side of the equation:
x/c = d
multiply both sides of the equation by c to isolate x:
(x/c) * c = d * c
x = dc
Now x can be solved for.
Hope this helps :)
Rosa climbs a 16-meter tower to ride a straight water slide. After landing in the slash pool, she walks 9 meters back to the base of the tower. What is the length of the slide
Answer:
The length of slide is 18.36 meters
Step-by-step explanation:
The given scenario forms a right-angled triangle where
The height of tower id perpendicular, the distance between slash pool and base of tower is base and the length of slide will be hypotenuse.
Height of tower = h = 16 meters
Distance between slash pool and base of tower = b = 9 meters
Length of slide = s = ?
As it is a right angled triangle, we can use Pythagoras theorem to find the length of slide
Pythagoras theorem states that:
[tex](Hypotenuse)^2 = (Base)^2+(Perpendicular)^2\\s^2 = b^2+h^2\\s^2 = (9)^2+(16)^2\\s^2 = 81+256\\s^2 = 337\\s^2 = 18.36\ meters[/tex]
Hence,
The length of slide is 18.36 meters
HELP ME PLEASEEEEEEEEEE
Answer:9/10 L
Step-by-step explanation:
The points A(15, 8) and B(10,7) are on a straight line. Which of the following is the slope of the line?
Answer:
The slope of this line is 0.2
Step-by-step explanation:
m = -1 / -5 = 0.2
Answer:
1/5
Step-by-step explanation:
(7 - 8) / (10 - 15) = - 1 / ( - 5) = 1/5
PLEASE HELP I WILL MARK BRAINLIEST
Find the area of a square with side length x when x is equal to the given value. Is the area of a square and the length of its side directly proportional? Justify your answer.
1. x=15 ft.
2. x=10 in.
3. x=3 in
Answer:
x = 3 in
Step-by-step explanation:
Since it's a square, to find the area, all you have to do is multiply one side of the square by another. Since this is a square, all the sides are equal. so 3x3 = 9. 9 sq. in.
GIVING BRAINLY. Nine hundred light bulbs are packaged and shipped to a retail store. Thirteen percent of the light bulbs arrive broken. Which equation can be used to find the number of light bulbs that were broken?
StartFraction 13 times 9 Over 100 times 9 EndFraction = StartFraction 117 Over 900 EndFraction
StartFraction 13 times 9 Over 900 times 9 EndFraction = StartFraction 117 Over 8100 EndFraction
StartFraction 100 divided by 9 Over 900 divided by 9 EndFraction = StartFraction 11.1 Over 100 EndFraction
StartFraction 900 divided by 9 Over 13 divided by 9 EndFraction = StartFraction 100 Over 1.4 EndFraction
Answer:
c
Step-by-step explanation: sorry I'm late but I got a 100
Answer:
900*0.13
Step-by-step explanation:
I'm not sure exactly what your answer choices are saying (I'm sorry ab that!), but I do know for a fact this will get you the correct answer!
Nate has $30.50. He wants to buy his dog a sweater that costs $15, a toy that costs $3.79, and a leash that costs $14.79. How much more money does he need? Question: what do you need to find before yoi can solve the problem?
Answer:
jjjjjjjjjjjj
jjjjjjjjjjjjjj
A 2-quart carton of pineapple juice costs $6.48. What is the price per cup?
Please hurry
$0.81 per cup.
There are 4 cups in a quart, so there are 8 cups in total . $6.48 ÷ 8 = $0.81
Answer:
$0.81 per cup
Step-by-step explanation:
Find the value of x in the given parallelogram. Only write the number value of x. *
Answer:
10
Step-by-step explanation:
Please help please I need your help please
Answer:
6
Step-by-step explanation:
Use the variable, h, to write an expression representing the difference of three times a number and two.
Answer:
3h - 2
Step-by-step explanation:
......................
A cheese can be classified as either raw-milk or pasteurized. 82% of cheeses are classified as pasteurized.
a. Two cheeses are chosen at random. What is the probability that both cheeses are pasteurized?
b. Four cheeses are chosen at random. What is the probability that all four cheeses are pasteurized?
c. What is the probability that at least one of four randomly selected cheeses is raw-milk? Would it be unusual that at least one of four randomly selected cheeses is raw-milk?
Answer:
Step-by-step explanation:
A cheese is said to be classified as either raw-milk or pasteurized.
Given that: 82% is pasteurized,
Then:
Supposed two cheeses are chosen at random;
P(both cheeses are pasteurized) = 0.82 × 0.82
= 0.6724
If four cheeses are chosen at random;
P(that all four cheeses are pasteurized) = 0.82 × 0.82 × 0.82 × 0.82
P(that all four cheeses are pasteurized) = 0.452
The required probability for at least one of the four randomly selected cheeses is raw milk is:
P(at least one of the randomly selected cheese is raw milk) = 1 - P(that all four cheeses are pasteurized)
P(at least one of the randomly selected cheese is raw milk) = 1 - 0.452
P(at least one of the randomly selected cheese is raw milk) = 0.548
However, since the probability that at least one of the randomly selected cheese is raw milk is greater than one; then we can conclude that;
It is not unusual that at least one of four randomly selected cheeses is raw-milk.
question 1 please !!!
Answer:
Yes
Step-by-step explanation:
Well, this is a powers of powers problem. So the rule is that we always add our exponents and it will equal the same thing.
So therefore x3*x3*x3=x9=x9
what number is 33 1/3% of 66
Answer: 22
22 should be the correct answer
The time (in number of days) until maturity of a certain variety of tomato plant is Normally distributed with mean μ. You select a simple random sample of four plants of this variety and measure the time until maturity. The four times, in days, are as follows: 63 69 62 66 with standard deviation 3.16.
Required:
Calculate the 99% confidence interval for population mean μ. Find the closest answer
Answer: 60.93 < μ < 69.07
Step-by-step explanation: The true mean of a set of data is between an interval of values with a percentage of precision, e.g., a 99% confidence interval means we are 99% confident the true mean is between the lower and upper limits.
To find the interval, use
x±[tex]z\frac{s}{\sqrt{n}}[/tex]
z is z-score related to the % of confidence level
In this case, a 99% confidence interval is 2.576
x is sample mean
Calculating:
[tex]x=\frac{63+69+62+66}{4}[/tex]
x = 65
65±[tex]2.576\frac{3.16}{\sqrt{4}}[/tex]
65±4.07
Confidence Interval: 60.93 < μ < 69.07
Meaning that we are 99% sure the population means is between 60.93 and 69.07.
Solve:
3/x-4 >0
X-4
x<4
x>-4
X>4
x<-4
DONE
Answer:
x > 4
Step-by-step explanation:
3/x-4 >0
x-4>0
x>0
Hope you got it
please mark as Brainliest.
Answer:
C. x > 4
And the second part is:
B. –2 < x < 4
Step-by-step explanation:
Just took it. Edg 2021. Hope this helps :)
If the reserve requirement is 20%, and total deposits are $1,500,000.00, how much must a bank maintain in
reserves?
a. What is the money multiplier?
b. How large is the money supply created from these deposits?
plz help ill mark you brainliest
just two promblems
Which statement proves that F(x) is an exponential function
A.All values of f(x) are odd
B.The functions of f(x) grows by equal differences over equal intervals
C.All values of f(x) are multiples of three
D.The functions of f(x) grows by equal factors over equal intervals
Answer:
Y=a*b^x
If xponent is a variable
Step-by-step explanation:
Convert 4.27
4.27 to
improper fraction
Answer:
[tex]\frac{427}{100}[/tex]
Step-by-step explanation:
4.27 * 100 = 427
[tex]\frac{427}{100}[/tex]
Answer:
427/100
Explanation:
As a proper fraction it would be 4 and 27/100, so to make it improper you multiply 4 times 100 and add that to 27.
Dillon read 1/5 of a book on Monday and 2/5 of the book on Tuesday. What fraction of the book did he read on Monday and Tuesday?
Answer:
Fraction of Book Dillon Read on Monday and Tuesday is [tex]\mathbf{\frac{3}{5} }[/tex]
Step-by-step explanation:
Dillon read book on Monday = [tex]\frac{1}{5}[/tex]
Dillon read book on Tuesday = [tex]\frac{2}{5}[/tex]
We need to find fraction of the book did he read on Monday and Tuesday
So, Fraction of Book Dillon Read on Monday and Tuesday= Book read on Monday + Book read on Tuesday
Fraction of Book Dillon Read on Monday and Tuesday= [tex]\frac{1}{5}+\frac{2}{5}[/tex]
[tex]=\frac{1+2}{5} \ (Taking \ LCM \ of \ 5 \ and \ 5 \ we \ get \ 5) \\=\frac{3}{5}[/tex]
So, Fraction of Book Dillon Read on Monday and Tuesday is [tex]\mathbf{\frac{3}{5} }[/tex]