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Answer:
(-2,-1)
Step-by-step explanation:
let the number=x
its reciprocal=1/x
x+2(1/x)=-3
x+2/x=-3
x²+2=-3x
x²+3x+2=0
(x+2)(x+1)=0
x=-2,-1
A B C
X
3
В В В
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The value of ABC is 340.
The multiplication problem can be written as follows:
ABC
x 3
-----
BBBB
The product of the two numbers is a 4-digit number, so the product of the units digits must be 4. Since 3 x 4 = 12, and the product of the units digits is 4, the units digit of the product is 4, and the carryover is 1.
The product of the tens digits must be a multiple of 10, since the product of the units digits is 4 and the carryover is 1. The only possibility is 3 x B = 1B, where B is an even digit. Since B is a single digit, the only even digit that works is 4. Therefore, B = 4, and the carryover is 1.
The product of the hundreds digits must be a multiple of 100, since the product of the tens digits is a multiple of 10 and the carryover is 1. The only possibility is 3 x A + 1 = 1A, where A is a digit greater than or equal to 3. Since A is a single digit, the only digit greater than or equal to 3 that works is 3. Therefore, A = 3, and the product of the hundreds digits is 10.
The product of the thousands digits must be 0, since the product of the hundreds digits is 10 and the carryover is 0. Therefore, C = 0.
Therefore, the value of ABC is 340.
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Answer:
ABC = 148, 3*148 = 444
Step-by-step explanation:
We know that 111 = 3* 37, so all numbers of the form BBB has the factor 37.
So we need a multiple of 37 such thant when multiplied, we get three digits the same as the middle digit.
Try 4*37 = 148, 148*3 = 444, bingo, we got the right combination.
So ABC is 148.
Answers
Answer:
a. Binomial random variable (n=4, p=0.25)
b. Attached.
c. X=1
Step-by-step explanation:
This can be modeled as a binomial random variable, with parameters n=4 (size of the sample) and p=0.25 (proportion of homeowners that are insured against earthquake damage).
a. The probability that X=k homeowners, from the sample of 4, have eartquake insurance is:
The sample space for X is {0,1,2,3,4}
The associated probabilties are:
b. The histogram is attached.
c. The most likely value for X is the expected value for X (E(X)).
Is calculated as:
Answers
Answer:
d(x) = √[(x - 2)² + (3x - 1)²]
Step-by-step explanation:
The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given as
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
So, the distance between point (2,0) and a point (x,y)
d = √[(x - 2)² + (y - 0)²]
d = √[(x - 2)² + (y)²]
But the point (x,y) is on the line y = 3x - 1
We can substitute for y in the distance between points equation.
d(x) = √[(x - 2)² + (3x - 1)²]
QED!
6 tens =
9 tens =
12 tens=
10 elevens=
Answers
Answer:
see below
Step-by-step explanation:
6 tens = 6 * 10 = 60
9 tens =9* 10 = 90
12 tens=12 * 10 = 120
10 elevens=10 * 11 = 110