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3 years ago

Find the missing side length. Round your answer to the nearest tenth. 12

Mathematics

2 answers:

castortr0y [4]3 years ago

8 0

4 squared+ 12 squared= c squared
16+144=160
Square root 160

so your answer would be 12.6

slamgirl [31]3 years ago

6 0

12.6 because the missing side length is c so c= 12^ 2+ 4^2 so c=144+16 so c is the square root of 160 which is 12.6 rounded to the nearest tenth

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Amy read 5/12 of the book Pocahontas last week. This week she read 1/2 of the book. What fraction of the book has she read

Roman55 [17]

Answer:

Amy has read A. 11/12ths of the book.

Step-by-step explanation:

1/2=6/12

You add that 6/12 to the 5/12, and your sum should be 11/12

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3 0

3 years ago

An oil drilling company ventures into various locations, and its success or failure is independent from one location to another.

densk [106]

Answer:

a) 18.77% probability that the driller drills at 10 locations and has 1 success

b) 75.60% probability that the driller drills at 10 locations and has at least 2 success

Step-by-step explanation:

For each drill, there are only two possible outcomes. Either it is a success, or it is not. The probability of a drill being a success is independent of other drills. So 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.

10 locations

This means that $n = 10$

Suppose the probability of a success at any specific location is 0.25.

This means that $p = 0.25$

(a) What is the probability that the driller drills at 10 locations and has 1 success?

This is P(X = 1).

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

$P(X = 1) = C_{10,1}.(0.25)^{1}.(0.75)^{9} = 0.1877$

18.77% probability that the driller drills at 10 locations and has 1 success

(b) What is the probability that the driller drills at 10 locations and has at least 2 success?

Either there are less than 2 success, or there are at least 2. The sum of the probabilities of these events is decimal 1. So

$P(X < 2) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

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

$P(X = 0) = C_{10,0}.(0.25)^{0}.(0.75)^{10} = 0.0563$

$P(X = 1) = C_{10,1}.(0.25)^{1}.(0.75)^{9} = 0.1877$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.0563 + 0.1877 = 0.2440$

$P(X < 2) = P(X = 0) + P(X = 1) = 1 - 0.244 = 0.756$

75.60% probability that the driller drills at 10 locations and has at least 2 success

8 0

3 years ago

Please help.<br> geometry unit 7 lesson 6 for connections...

RUDIKE [14]

1] Square; Rectangle; Quadrilateral.

2] All rectangles are Quadrilaterals.

3] Arrange four equal length sides, so the diagonals are equal length also.

4] As per the Isosceles trapezoid.
Base angles are equal to each other and upper both angles are equal to each other too.
So,
20x+9 = 14x+15
20x-14x = 15-9
6x = 6
x = 1°

K = M = 29°

Sum of all angles of quadrilateral equal to 360°.

360-(29+29) = 360-58 = 302°

Sum of upper both equal angles is 302°.
One of them will be 302/2 = 151°

Answer will be 151°.

8 0

3 years ago

MARKING BRANLIEST HELP PLSSS!!!! d

Alenkinab [10]

Answer:

25 inches^2

Step-by-step explanation:

The formula for the area of a triangle is A = (1/2)(base)(height).

Here the base, b, is 10 inches and the height, h, is 5 inches.

Thus, the area of this triangle is

A = (1/2)(base)(height) = (1/2)(10 inches)(5 inches) = 25 inches^2

7 0

3 years ago

Write the point-slope form of the equation for a line that passes through (6, -1) with a slope of 2

defon

ANSWER

$y + 1=2(x-6)$

EXPLANATION

The point-slope form of a line is given by;

$y-y_1=m(x-x_1)$

where

$m = 2$

is the slope of the line and (6,-1) is point.

We substitute the point and the slope into the formula to obtain:

$y + 1=2(x-6)$

Hence the b point slope form of the line with the given properties is

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4 years ago