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iragen [17]
2 years ago
6

Calculate the slope of the line passing through points (-3, 4) and (-3,-7)

Mathematics
1 answer:
Andrei [34K]2 years ago
7 0

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 3, 4 ) and (x₂, y₂ ) = (- 3, - 7 )

m = \frac{-7-4}{-3+3} = \frac{-11}{0}

Since division by zero is undefined then the slope is undefined

This indicates the line is vertical and parallel to the y- axis

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The expected number of typographical errors on a page of a certain magazine is .2. What is the probability that an article of 10
Pavel [41]

Answer:

a) The probability that an article of 10 pages contains 0 typographical errors is 0.8187.

b) The probability that an article of 10 pages contains 2 or more typographical errors is 0.0175.

Step-by-step explanation:

Given : The expected number of typographical errors on a page of a certain magazine is 0.2.

To find : What is the probability that an article of 10 pages contains

(a) 0 and (b) 2 or more typographical errors?

Solution :

Applying Poisson distribution,

N\sim Pois(0.2)

P(N=r)=\frac{e^{-np}(np)^r}{r!}

where, n is the number of words in a page

and p is the probability of every word with typographical errors.

Here, n=10 and E(N)=np=0.2

a) The probability that an article of 10 pages contains 0 typographical errors.

Substitute r=0 in formula,

P(N=0)=\frac{e^{-0.2}(0.2)^0}{0!}

P(N=0)=\frac{e^{-0.2}}{1}

P(N=0)=e^{-0.2}

P(N=0)=0.8187

The probability that an article of 10 pages contains 0 typographical errors is 0.8187.

b) The probability that an article of 10 pages contains 2 or more typographical errors.

Substitute r\geq 2 in formula,

P(N\geq 2)=1-P(N

P(N\geq 2)=1-[P(N=0)+P(N=1)]

P(N\geq 2)=1-[\frac{e^{-0.2}(0.2)^0}{0!}+\frac{e^{-0.2}(0.2)^1}{1!}]

P(N\geq 2)=1-[e^{-0.2}+e^{-0.2}(0.2)]

P(N\geq 2)=1-[0.8187+0.1637]

P(N\geq 2)=1-0.9825

P(N\geq 2)=0.0175

The probability that an article of 10 pages contains 2 or more typographical errors is 0.0175.

6 0
3 years ago
Ryan runs 1.5 miles on his first day of training for a road race. The next day he increases his distance run by 0.3 miles. The d
SVEN [57.7K]

Answer:

sorry I need points

Step-by-step explanation:

so so sorry

8 0
2 years ago
Read 2 more answers
Solve 4 brainliest xx
irga5000 [103]
C is on the line and D is not on the line.
-1/2(-40)+1=21
-1/2(20)+1≠-11
5 0
2 years ago
Which of the following statements is not correct? A every square is a parallelogram B every parallelogram is a rectangle C every
n200080 [17]
A. A square is a special type of parallelogram, so every square is a parallelogram. A. is true.

B. Every parallelogram has two sets of opposite sides parallel, but not all angles are right angles. Only some parallelograms are rectangles, not all. B. is false.

C. A parallelogram with 4 congruent sides is a rhombus. A rhombus is a special type of parallelogram, so every rhombus is a parallelogram. C. is true.

D. A rectangle is a special type of parallelogram, so every rectangle is a parallelogram. D. is true.
7 0
3 years ago
Find the missing value -3 = ? -11
maria [59]

Answer

Positive 8 is the missing value

Step-by-step explanation:

-11 + 8 = -3

6 0
2 years ago
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