Answer:
At a small savings and loan company, you have to deal with your customers being victims of identity theft. This happens unpredictably to one of your customers once every 9 weeks; and no incident seems to have any connection to any other incident.
Step-by-step explanation:
The probability that you will have to deal with no more than 4 incidents of identity theft in the next year is 30.08 %
What is a Binomial Distribution?
The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.
The formula for Binomial Distribution is given by
P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
where
n = number of trials
x = number of successes
p = probability of getting a success in one trial
q = probability of getting a failure in one trial
q = 1 - p
Given data ,
Let the probability that you will have to deal with no more than 4 incidents be P ( x ≤ 4 )
Now , the success is one of your customers once every 9 weeks
So , p = 1/9
q = 1 - p = 8/9
x = 4
Number of trials n = 52 weeks
And , the probability that you will have to deal with no more than 4 incidents be P ( x ≤ 4 ) is
P ( x ≤ 4 ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
Substituting the values in the equation , we get
P ( x ≤ 4 ) = [ 52! / ( 48 )! 4! ] ( 1/9 )⁴( 8/9 )⁴⁸
On simplifying the equation , we get
P ( x ≤ 4 ) = 0.3008
P ( x ≤ 4 ) = 30.08 %
Therefore , the value of P ( x ≤ 4 ) is 30.08 %
Hence , the probability of no more than 4 incidents is 30.08 %
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Determine the equation of the quadratic function shown below.
A 10 ft board is to be cut into three pieces, two equal- length ones and the third 9 in shorter than each of the other two. If the cutting does not result in any length being lost, how long are the pieces?
Answer:
Let x represent one of the equal length sides making the third side which is 3 inches shorter than each of the other two equal to:
Third piece = x − 3 . Knowing that the whole board is 10 feet, in inches it is:
10 feet × 12 inches / 1 foot = 120 inches
To find the length of the pieces, add them and equate it to the legth of the board in inches as shown below:
x + x + x − 3 = 120 + 3
3 x /3 = 123 /3
x = 41 inches
Third piece = x − 3 =
41 − 3
= 38 inches
Step-by-step explanation:
The area formula also works with numbers that aren’t whole. A standardpiece of paper has a height of 8.5 inches and width of 11 inches. What is the area?
Answer:
it is 93.5
Step-by-step explanation:
ok im on
Almost there! I can smell the victory
Answer:
165
Step-by-step explanation:
18 x 6 = 108
19 x 3 = 57
108 + 57 = 165
:)
Kevin rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 94 cents for each mile driven, Kevin had to pay
$214.59 when he returned the truck. For how many miles did he drive the truck?
miles
?
PLS HELP
Answer:
Owner-operators may take in over $260,000 in gross revenue, but once you deduct expenses, maintenance and all of the costs that go along with running a truck, many don’t earn much more than experienced company drivers. It costs about $180,000 per year to run a commercial truck. Operating costs in the trucking industry are about $1.38 per mile.
Step-by-step explanation:
WILL
GIVE BRAINLIST ANSWER
...
.
..
.
..
.
.
.
.
Answer:
-10, -|-8|, -(-2), |-11|, 5²
Step-by-step explanation:
Answer:
YOU POST THIS TWICE
IT'S -10, -|-8|, -(-2), |-11|, 5²
Step-by-step explanation:
I nEd the answer pls
Answer:
C
Step-by-step explanation:
[tex]SA = 2(lw) + 2(lh) + 2(wh)[/tex]
Define Hypotenus
I have forgotten what it is
In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
It is useful in different situations involving the need to find distance or the measure of an angle.
Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²)
PLZ HELP I WILL GIVE BRAINLIEST
Answer:
33 m^2
Step-by-step explanation:
Since the area of a kite can be found by h1*b1 + h2*b2, the area is
3 * 1 + 3 * 10 = 33 m^2
The Sine Function
Your sine regression model for a given problem is
y = 0.500 sin (0.222x - 1.509) + 0.521.
Use your model to predict y(95). Round your answer to the nearest hundredth.
a. y(95) = 0.27
b. y(95) = 0.47
c. y(95) = 0.17
d. y(95) = 0.85
Please select the best answer from the choices provided
Answer:
D. y(95) = 0.85
Step-by-step explanation:
I calculated it logically
Property of 10+5=5+10
Answer:
Commutative Property of Addition
Answer:
Commutative property
Step-by-step explanation:
The commutative property is when the order of the addends is changed, the sum stays the same.
Ex. 3+7 = 7+3
Both 3+7 and 7+3 = 10
Solve for x. Round your answer to the nearest tenth
Answer:
Step-by-step explanation:
sin^1(17/19)
x= 63.475 round it how u want
Please Help! Lateena solved an equation. Explain why or why not her solution is correct.
Answer:
Actually her answer is wrong because it's a quodratic equation.
evaluate the expression when a = -15 and b = -5 b+14/a
sum difference place value of 2 in 4242
Answer:
[tex]\huge\colorbox{violet}{✏﹏ \: ᴀɴsᴡᴇʀ \: }[/tex]
4242
2 = 200 ( 2 is in hundred's place )
4242
2 = 2 ( one's place )
Difference = ?
[tex] = 200 - 2 \\ = 198[/tex]
Sum = ?
[tex] = 200 + 2 \\ = 2[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
Can you construct a triangle with side lengths of 1 meter, 7 meters, and 8 meters?
Yes or no and explain
Answer:
No.
Step-by-step explanation:
No.
Each side of a triangle must have a length between the difference and the sum of the lengths of the other two sides.
Let's look at the sum and difference of lengths of 2 sides.
Side with length 1 and side with length 7; third side with length 8
sum of lengths of first two sides = 1 + 7 = 8
difference = 7 - 1 = 6
The third side would have to have a length between 6 and 8. The third side has a length of 8. For a triangle, the third side must be between the sum and difference. Here, the third side is equal to the sum, so there is no triangle.
As soon as one side does not work, there is no triangle, and you don't need to check the sums and differences of the other two sets of two sides.
1. A guitar is on sale with a 55% discount.
If it regularly sells for $270, what is the
amount of discount?
Answer:
it should be 148.5
Step-by-step explanation:
Answer:
$121.50 is the new amount! The discount is $148.50
Step-by-step explanation:
find the midpoint of (-1,2) (-4,-9)
Answer:
use this info to help answer it
Measure the distance between the two end points, and divide the result by 2. This distance from either end is the midpoint of that line. Alternatively, add the two x coordinates of the endpoints and divide by 2. Do the same for the y coordinates.
you have the following coins in your pocket five quarters six dimes two nickels and 12 pennies what is the probability as a decimal you would draw a dime.
Answer: The probability of you drawing a dime is 0.24
Step-by-step explanation:
5 quarters, 6 dimes, 2 nickels, 12 pennies
5+6+2+12= 25
6/25= 0.24 or 24%
Answer:
0.24
Step-by-step explanation:
P(dime) = 6/25 which is 0.24
Minutes No. of Homework
Problems
2 or Less
3-4
5-6
7-8
9 or more 8
4
2
0
3
What is the number of homework problems that took less than 5 minutes in the given table?
A.
4
B.
14
C.
12
D.
8
Simplify (x2y)3.
x2y3
x5y3
x6y3
Answer:
3x2^y
Step-by-step explanation:
brainleist plss
Start at the origin. Move 2 units right and 8 units up. What is the ordered pair for this point? pls help ASAP
Answer: (2,8)
Step-by-step explanation:
The origin is the point (0,0), so when you move two units right you land on the x-value of 2. From there you then add 8 units, putting you at the y-value of 8. Therefore, you end with the point (2,8) after this translation.
I would greatly appreciate if you could solve this 4 me. Thank you!
Answer:
B would be your Answer
Step-by-step explanation:
There are three 2s, one 2 1/4, three 2 1/2, two 2 3/4, and one 3 (which is all displayed on B).
Hope this helped :)
Plz help me well mark brainliest if you are correct!!.....
Step-by-step explanation:
the base is 5unit and the height is 9unit
Answer:
The base is 5 units the height is 9 units
Step-by-step explanation:
Just count the blocks in the diagram
base = 5
Height = 9
What is the midline equation of y = -4sin (2x - 7) + 3?
Step-by-step explanation:
Thank you this is your answerWhich describes how the figure below was transformed?
Answer: Rotation
Step-by-step explanation: This is a rotation because the figure is rotated 90°. This is not a translation because it isn't moved to a different position. This is not a reflection because it isn't mirrored. This is not a dilation because the size didn't change. Therefor, it is a Rotation, because this figure was rotated 90°
Examples are below if you still don't quite understand.
3. Calculate the value of x in the figure to the right: (2 Points)
Answer:
x = 12
Step-by-step explanation:
When two chords intersect each other inside a circle, the products of their segments are equal.
------------------
2x = 6 * 4
2x = 24
Divide both sides by 2
x = 12
determine the perimeter of quadrilateral CGHI
Answer:
if the sides are 2, 3, 4.2, 2.6 then the perimeter is 11.8
Step-by-step explanation:
just add them together
PLEASE ANSWER ASAP FOR BRAINESLT!!!!!!!!
Mrs. Lee randomly surveyed 25 of her 125 students about their pets. Her survey indicate that 14 students have a dog, 7 students have a cat, 2 students have another kind of pet, and 8 students have no pet. (Note that some students have more than one pet). What is Mrs. Lee's best estimate of the total number of her students who have a dog?
A. 70
B. 35
C. 10
D. 40
Answer: Hello! When I tried solving the problem and I got the answer of 70.
Step-by-step explanation:
So, 14 out of the 25 kids have a dog. If you were to have 125 kids which if 5 times the first 25 kids it would be 14 x 5 which is 70.
A circle has a diameter of 12cm. Find the arc length if the central angle is 37°.
Round to the nearest tenth.
Answer:
40
Step-by-step explanation:
37 is greater than five and the next number with a zero would be 40