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. a) What is the probability that you will have to deal with no more than 4 incidents of identity theft in the next year (52 weeks)
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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If y varies jointly as x and z and y = 12 when x = -2 and z=3, find y when x is 4 and z is -1
A. 6
B. 9
C. 4
D. 8
Answer:
D. 8
Step-by-step explanation:
y varies jointly as x and z
y = k(xz)
-------------------------
Find k, the constant of variation
y = 12 when x = -2 and z=3
12 = k(-2 * 3)
12 = k(-6)
k = -2
-------------------------
find y when x is 4 and z is -1
using k = -2
y = -2(4 * -1)
y = -2(-4)
y = 8
The slope of the line that passes through the point (-2, -4) and (-3, -8) is ______
Answer:
4
Step-by-step explanation:
We know ,
Slope = difference of y co ordinate / difference of x coordinate
=> m = -8+4/-3+2
=> m = -4/-1
=> m = 4
Rewrite exponential expressions
Answer:
A = 48
Step-by-step explanation:
In this equation, we can factor out the expression [tex](\frac{1}{7} )^x[/tex]. If we do so, the expression becomes:
[tex](\frac{1}{7})^x((\frac{1}{7})^{-2} - 1)[/tex]
We can simplify to get:
[tex](\frac{1}{7} )^x(49 - 1)[/tex]
and get:
[tex]48*(\frac{1}{7})^x[/tex]
Therefore, A = 48
8. Multiple Choice: Which equation is the factored form of x2 + 2x - 3 = 0?
a) (x - 1)(x + 3) = 0
b) (x - 1)(x - 3) = 0
c) (x - 3)(x + 1) = 0
d) (x+3)(x + 2) = 0
Answer:
X= 1
Y= -3
Factor and set each factor equal to 0
which expression is equivalent to (7x^3)^2 (x^8)^1/2
Answer:
Step-by-step explanation:
Minimon común numtiplo de 4800 1350 y 2646
Answer:
LCM of (4800, 1350, 2646) = 2116800
Step-by-step explanation:
Factorización prima de los números:
4800 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5
1350 = 2 × 3 × 3 × 3 × 5 × 5
2646 = 2 × 3 × 3 × 3 × 7 × 7
MCM (4800, 1350, 2646)
2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7
2116800
MCM de (4800, 1350, 2646) = 2116800
using a positive and negative integer, write an addition expression that equals -9
Answer:
-13 + 4
Step-by-step explanation:
For the sum to be negative, the absolute value of the negative integer has to be 9 more than the positive integer. There are an infinite number of equations, but here is one:
-13 + 4
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answer:
increasing
Step-by-step explanation:
When Bunny and Walter came home from practice, there was a note from their mother sitting on top of a pizza box. “Had to run to a meeting. You two can share the rest of the pizza for dinner. Love ya!” When they opened the box, they saw that exactly one-fourth of the pizza was gone. If Bunny and Walter split what was left evenly, how much of the pizza will each get?
9514 1404 393
Answer:
3/8 pizza
Step-by-step explanation:
If 1/4 of the 4/4 of the pizza was gone, 3/4 remained. When that is split in half, each half is (3/4)(1/2) = 3/8 of the pizza.
Each gets 3/8 of the pizza.
Use I = PRT to find the total amount in the savings account. Type in "money fo $1555.00 at 8% for 2 years
IF YOU ANWSER IM GIVING YOU 50 POINTS!
Step-by-step explanation:
use an interest calculator it is going to be much easier
I believe its $6986.25
https://www.bankrate.com/calculators/savings/simple-savings-calculator.aspx
Round to the nearest whole dollar: $9.49
Answer: $9
Step-by-step explanation: Rounding $9.49 to the nearest dollar consider the tenths’ value of $9.49. Which is 4 and less than 5. Therefore, we have to round the amount down: the dollar ones place value of $9.49, $9, remains $9, and the decimal point and all digits (.49) are removed.
To run 12 miles, how many times must you run around a park that is 2 miles long and 1 mile wide?
Anyone with the answer to this question today?
Alaina wants to decide whether her current cell phone plan is better than the package that another company offers
Answer:
Step-by-step explanation:
look for another phone company then
Which statements are true?
Select each correct answer.
A. All triangles have 3 straight sides.
B. Only some triangles are polygons.
C. All triangles are plane figures.
D. All triangles have 3 angles.
E. All triangles have one right angle.
Answer:
C. c. c.c.c.cc.c.c.
Step-by-step explanation:
Elijah has
2
1
2
2
2
1
bags of candy. A bag of candy weighs
5
5 pounds. How many pounds of candy does Elijah have?
pounds of candy.1 in3 (3 is above inches)
Answer:
50 pounds
Step-by-step explanation:
Triangle has vertices A(-1, 3), B(-2, 1), and C(0, 4). If the triangle is reflected over the y-axis, what are the coordinates of A'?
Answer: A’ (1, 3)
Step-by-step explanation:
Reflecting in the y-axis will only reverse the x values
what is 90divided by 9??
Answer:
10 bc 9 • 10 = 90
Step-by-step explanation:
ANSWER THIS ASAP NO FILE AT ATT!! IM AT 69 I NEED A 70 JUST GET IT RIGHT
Answer:
A
Step-by-step explanation:
A shows a counterclockwise 90° rotation, so it is the correct answer.
B shows a reflection.
C shows a translation.
An electric car traveled a record of 321.8 miles in one hour. At this rate, how far would it travel in 15 minutes?
Answer:
80.45 miles
Step-by-step explanation:
Divide and multiply
Cherri filled out a deposit slip today. She deposited two checks for $56.13 and $22.10 and took out $20 in cash.
What was her net deposit?
Answer:
$58.23
Step-by-step explanation:
Let's say y is her net deposit. The equation you would want to use is y = 56.13 + 22.10 - 20.
A museum has an aquarium in the shape of a right rectangular prism that is 22.9 meters long, 7.5 meters wide, and 5.6 meters high. What is the volume, round to the nearest cubic meter, of the aquarium?
A. 280
B. 623
C. 1288
D. 962
Answer:
1288 c m 3
Step-by-step explanation:
To work out volume, you just do the simple calculation of height x width x length. So what we need to do here is 6 x 7.5 x 22.9 =
1212.5 c m 3 .
The decimal is a 5 so that is rounded up to give the nearest meter hence the answer to the question is
1288 c m 3 .
We have two urns. Urn 1 has 2 red balls and 3 yellow balls, while Urn 2 has 3 red balls and 7 yellow balls. We randomly select 75 balls form Urn 1, sampling with replacement. We independently randomly select 100 balls from Urn 2, sampling with replacement. Find the variance of the random variable defined as the number of red balls obtained from Urn 2 less the number of red balls obtained from Urn 1.
Answer:
[tex]\sigma (y_1-y_2)=39[/tex]
Step-by-step explanation:
From the question we are told that:
Urn 1 :2 Red, 3 Yellow
Urn 2:3 Red, 7 Yellow
Sample 1 [tex]n_1=75\ balls[/tex]
Sample 2 [tex]n_2=100\ balls[/tex]
Generally the Probability of Red ball drawn is mathematically given by
For Urn 1
[tex]P(R)_1=\frac{2}{5}[/tex]
[tex]P(R)_1=0.4[/tex]
For Urn 2
[tex]P(R)_1=\frac{3}{10}[/tex]
[tex]P(R)_1=0.3[/tex]
Generally the equation for Variance of two independent variables [tex]\sigma (y_1-y_2)[/tex] is mathematically given by
[tex]\sigma (y_1-y_2)=\sigma y_2 +(-1)^2 \sigma(x_1)[/tex]
Where red balls drawn from both Urn is Modeled
[tex]Urn_1\ is\ Modeled\ as (n_1=75,p_1=0.4)[/tex]
[tex]Urn_2\ is\ Modeled\ as\ (n_2=100,p_2=0.3)[/tex]
[tex]\sigma (y_1-y_2)=n_2 p_2(1_p_2)+n_1*p_1(1-p_1)[/tex]
[tex]\sigma (y_1-y_2)=100*0.3(1-0.3)+75*0.4(1-0.4)[/tex]
[tex]\sigma (y_1-y_2)=39[/tex]
Therefore the variance of the random variable defined as the number of red balls is
[tex]\sigma (y_1-y_2)=39[/tex]
Need help ASAP plz !!!!!
Answer:
yep that is correct!
Step-by-step explanation:
Theorem of Pythagoras
hopefully the picture is clear and understandable!
:)
Complementary and supplementary angles
BRAINLIST + 100 POINTS
2) Employees were asked how many times per week they exercised. The frequency table shows the results of the survey
Number of times exercised: 0,1,2,3,4,5,6,7,8
Frequency: 7,10,5,13,32,16,15,8,4
(a) Create a probability distribution table from the frequency table. Round probabilities to the nearest hundredth.
FIND
(b) P(x≥5)
(c) P(x=7)
(d) P(x<4)
Answer:
Heyaa!! My name is Pinky and im here to tell you that the answer is..
Step-by-step explanation:
!!(b) P( x < 4) = ( 5 + 10 + 2 + 9 ) / ( 5 + 10 + 2 + 9 + 33 + 12 + 15 + 3 + 1 ) = 13/45!!
!!(c) P(x = 6) = 15 / (5 + 10 + 2 + 9 + 33 + 12 + 15 + 3 + 1) = 1/6!!
!!(d) P( x ≥ 5 ) = (12+ 15 + 3 + 1) / (5 + 10 + 2 + 9 + 33 + 12 + 15 + 3 + 1) = 7/30!!
Have and Amazing Day now!!
~Pinky~

Pls someone help me
How do you make an array of 5/6 x 3/4 ?
amy runs 2 miles in 30 minutes how long will it take her to run 7 miles at this rate
Answer:
1 hour 45 minutes
Step-by-step explanation:
Time taken to cover a distance of 2 miles = 30 minutes.
Time required to cover 1 mile = 30/2 = 15 minutes.
Time required to cover 7 miles = 15×7
= 105 minutes or 1 hour and 45 minutes.