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3 years ago

How to find the missing length?

Mathematics

2 answers:

alexira [117]3 years ago

5 0

I think it has to do with complimentary angles

Nata [24]3 years ago

3 0

To find the missing length you must break this shape into two other shapes. A square, and a right triangle. To do this you take the top value and subtract the bottom. 8-5=3. So one value of the triangle is 3, and the side is 5 since it is parallel and equal to the sides of the square. To find the missing value, you will use the formula "a^2+b^2=c^2." Side A will be our side value of 5. 5x5=25. Side B will be the value of 3. 3x3=9. 25+9=34. And now we find the square root of 34. This is 5.830951895.

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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

Write the number 66,190,000 using the number word "million" and then round to one decimal place

Vera_Pavlovna [14]

Answer:

66,190,000 = 66.19 million

round to 66.2 million

Step-by-step explanation:

6 0

3 years ago

HELP!! <br> 9. What is the area of triangle AOB?

Akimi4 [234]

Angles ∠ACD and ∠CAB are congruent because they are alternate angles. Then the area of the triangle AOB will be 22.53 square cm.

<h3>What is the area of the right-angle triangle?</h3>

The area of the right-angle triangle is given as

A = 1/2 x B x H

Where B is the base and H is the height of the right triangle.

We know that angles ∠ACD and ∠CAB are congruent because they are alternate angles.

α₁ = 40°

AO = OC = 7.8 cm

Then the area of the triangle will be

Area = 1/2 x 7.8 x 7.8 x tan40°

Area = 22.53 square cm

More about the area of the right-angle triangle link is given below.

brainly.com/question/16653962

#SPJ1

5 0

2 years ago

Find m<1 <br> Please please

enyata [817]

Answer:

it should equal 68 degrees.

Step-by-step explanation:

if you are looking for the value of m<1, you would first need to find the value of the missing angle on the left triangle. the angles in triangles are equal to 180 degrees, so the equation would be 180 = 50 + 80 + x, and x = 50.

Then move to the middle triangle. The angle you solved for has an angle "connected" to it, its vertical pair, which also equals 50. Then you solve for the last angle, the angle on the right. 180 = 50 + 62 + x, and x = 68.

m<1 is equal to its vertical angle, which is the angle you just solved for. its value should be 68 degrees.

if that wasn't what you were looking for, sorry. hope this helped :)

6 0

3 years ago

Drag a graph to each category based on the slope of the graph - help me plz

OleMash [197]

Answer:

for the first picture: less than zero (the slope is negative because it's going down)

for the second picture: slope is greater than 1 (the slope is positive because it's going up)

for the third picture: slope is greater than 1 (the slope is positive because it's going up)

for the fourth picture: slope is 0 (it's a horizontal line)

5 0

3 years ago