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.
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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HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answer:
increasing
Step-by-step explanation:
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
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
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
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.
How do you make an array of 5/6 x 3/4 ?
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:
4 × 7/8 = ? 4 × 6/8 =?
Answer:
4 × 7/8 = 3.5
Step-by-step explanation:
4 × 6/8 = 3
Answer:
3.5 and 3
Step-by-step explanation:
which expression is equivalent to (7x^3)^2 (x^8)^1/2
Answer:
Step-by-step explanation:
ANSWER ASAP! WILL MARK BRAINLIEST!
Select all the correct answers.
Which two tables represent the same function?
х|у
4|8
6|7
х|у
4|5
6|4
х|у
2|8
8|5
x|y
2|10
6|14
x|y
2|9
8|6
Answer:
The first and last set
y = (-1/2) + 10
Step-by-step explanation:
Two points form a line
The first and last set have a slope of -1/2
and b intercept of 10
х|у
4|8
6|7
y = (-1/2) + 10
and
x|y
2|9
8|6
y = (-1/2) + 10
The requried, tables that represent the same function are tables 1 and 3.
What is function?In mathematics, a function is a relationship between two sets of numbers, known as the domain and range, in which each element in the domain is associated with exactly one element in the range.
Here,
The tables that represent the same function are:
x|y
4|8
6|7
x|y
2|8
8|5
For two tables to represent the same function, they must have the same output for the same input. In the first table, input 4 gives output 8 and input 6 gives output 7. In the second table, input 2 gives output 8 and input 8 gives output 5. Therefore, these two tables represent the same function.
The other tables do not represent the same function, as they have different outputs for the same input values.
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Theorem: In any circles the same ratio of arc length to radius determines a unique central angle that the arcs subtend:
and conversely, equal central angles determine the same ratio of arc length to radius.
Prove the theorem above using the definition of the radian measure of an angle.
Complementary and supplementary angles
The radius of a semicircle is 4 millimeters. What is the semicircle's perimeter?
Answer:
20.57
Step-by-step explanation:
Find the value of x or y so that the line through the points has the given slope.
Answer:
x= -6
Step-by-step explanation:
(-1+5)/(x+3) = -4/3
4/(x+3)= -4/3
-4(x+3)= 3(4)
-4x-12= 12
-4x= 24
x= -6
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
What is the volume of the cube
Answer:
the answer should be V = a³=2³=8cm³
Answer:
8cm
Step-by-step explanation:
The volume of a cube is length x width x height. If it a equal cube, all sides should be the same. Meaning that 2 x 2 x 2, equaling 8 would be the answer.
what is 90divided by 9??
Answer:
10 bc 9 • 10 = 90
Step-by-step explanation:

Pls someone help me
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
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:
Need help ASAP plz !!!!!
Answer:
yep that is correct!
Step-by-step explanation:
Theorem of Pythagoras
hopefully the picture is clear and understandable!
:)
-7(-2y-x+3)
7(-2y-x+3)
Answer:
14y+x-21
-14y-x+21
Step-by-step explanation:
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
The measure of an angle is 61.3 degrees. What is the measure of its complementary angle?
Answer:
118.7
Step-by-step explanation:
180-61.3
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.
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
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.