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Nadusha1986 [10]
3 years ago
6

A line with a slope of 1 passes through the point (1,6). what is its equation in slope-intercept form​

Mathematics
1 answer:
Lilit [14]3 years ago
3 0
Y-6=1(x-1)
Y-6=x-1
Y=x-1+6
Y= x+ 5
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Pythagorean Theorem is for right triangles

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Jay was reaching into her purse and accidentally spilled her coin purse. 10 pennies fell on the floor. Jay noticed that only 2 o
kompoz [17]

Answer:

4.39%

Step-by-step explanation:

There are no marking to identify the coins, so the order is not important. Since the order not important we use combination instead of permutation.

A coin have 2 possible outcome, head or tails. Assuming the coin is fair each outcome will be 50% or 0.5 chance. If heads= A and tails =B, then the probability of 2 pennies will be:

P(A=2) = 2C10 * A^2 * B^(10-2)

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3 years ago
Solve for each variable and tell how you found the value of each.
AleksAgata [21]

Answer:

A:38 c:54

Step-by-step explanation:

First off, I did the easiest which was a. i found the value of A by subtracting 180 by 142. because a flat line is 180 degrees.

For C, It was more difficult. I subtracted 88 by the value of A, since the value of A is the same as the one next to 88. So I subtracted 126 (88+38) and got 54.  

Fortunately, I couldn't figure out B though, but i think it is a similar answer to c.  

6 0
3 years ago
An electronic product contains 48 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the
BigorU [14]

Answer:

0.6173 = 61.73% probability that the product operates.

Step-by-step explanation:

For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

An electronic product contains 48 integrated circuits.

This means that n = 48

The probability that any integrated circuit is defective is 0.01.

This means that p = 0.01

The product operates only if there are no defective integrated circuits. What is the probability that the product operates?

This is P(X = 0). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{48,0}.(0.01)^{0}.(0.99)^{48} = 0.6173

0.6173 = 61.73% probability that the product operates.

5 0
3 years ago
Identify the vertex of the function, fx) = 3(x - 1)2 + 5.
madam [21]

Answer:

fx) = 3x+4

Step-by-step explanation:

1. step:

solve the bracket

fx) = 3(x - 1) 2 + 5

fx) = 3x-1+2+5

2. step:

use the BEDMAS form.

fx) = 3x-3+7

fx) = 3x+4

8 0
3 years ago
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