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2 years ago

Can someone help for brainliest

Mathematics

1 answer:

const2013 [10]2 years ago

6 0

Answer:

hypotenuse is 34

Step-by-step explanation:

a²+b²=c²

16²+30²=c²

256+900=1156

√1156 =34

hypotenuse =34

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53% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the

faltersainse [42]

Answer:

$P(X = 5) = 0.2423$

$P( X \ge 6 )= 0.4516$

$P( X < 4 )= 0.12694$

Step-by-step explanation:

From the question we are told that

The population proportion is p = 0.53

The sample size is n = 10

Generally the distribution of the confidence of US adults in newspapers follows a binomial distribution

i.e

$X \~ \ \ \ B(n , p)$

and the probability distribution function for binomial distribution is

$P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}$

Here C stands for combination hence we are going to be making use of the combination function in our calculators

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is exactly five is mathematically represented as

$P(X = 5) = ^{10}C_5 * 0.53^5 * (1- 0.53)^{10-5}$

=> $P(X = 5) = 252 * 0.04182 * 0.023$

=> $P(X = 5) = 0.2423$

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is at least six is mathematically represented as

$P( X \ge 6 )= P( X = 6) + P( X = 7) + P( X = 8) + P( X = 9) + P( X = 10)$

=> $P( X \ge 6 )= [^{10}C_6 * [0.53]^6 * (1- 0.53)^{10-6}] + [^{10}C_7 * [0.53]^7 * (1- 0.53)^{10-7}] + [^{10}C_8 * [0.53]^8 * (1- 0.53)^{10-8}] + [^{10}C_9 * [0.53]^9 * (1- 0.53)^{10-9}] + [^{10}C_{10} * [0.53]^{10} * (1- 0.53)^{10-10}]$

=> $P( X \ge 6 )= [0.227] + [0.1464] + [0.0619] + [0.0155] + [0.00082]$

=> $P( X \ge 6 )= 0.4516$

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is less than four is mathematically represented as

$P( X < 4 )= P( X = 3) + P( X = 2) + P( X = 1) + P( X = 0)$

=> $P( X < 4 )= [^{10}C_3 * 0.53^3 * (1- 0.53)^{10-3}] + [^{10}C_2 * 0.53^2 * (1- 0.53)^{10-2}] + [^{10}C_1 * 0.53^1 * (1- 0.53)^{10-1}] + [^{10}C_0 * 0.53^0 * (1- 0.53)^{10-0}]$

=> $P( X < 4 )= 0.09051 + 0.03 + 0.0059 + 0.000526$

=> $P( X < 4 )= 0.12694$

5 0

2 years ago

After a hike, a group of s students equally share 5 boxes of granola bars. Each box has 8 granola bars. Which algebraic expressi

marissa [1.9K]

Answer:

40/s

Step-by-step explanation:

Number of granola boxes = 5

Number of granola per box = 8

Total granolas = 8 * 5 = 40 granola bars

Number of students = s

If each students takes equal share : Number if granola bars taken by each :

Total number of granola bars / number of students

= 40 ÷ s

40/s

8 0

2 years ago

Which function represents the graph of y=10(4)x ? f g h j

Marat540 [252]

Ok, i understand now. Your answer should be G.

If you ever have a graphing question got to desmos.com
it helps me a lot. If you plug in any equation, like this one, life will be even easier. lol

7 0

3 years ago

Read 2 more answers

X= a) 37 b) 74 c) 143

nordsb [41]

The answer is c 143.ok bye

7 0

2 years ago

Read 2 more answers

Given: ∠A is a straight angle. ∠B is a straight angle.

choli [55]

Given: ∠A is a straight angle. ∠B is a straight angle.

We need to Prove: ∠A≅∠B.

We know straight angles are of measure 180°.

So, ∠A and <B both would be of 180°.

It is given that ∠A and ∠B are straight angles. This means that both angles are of 180° because of the the definition of straight angles. Using the definition of equality, m∠A=m∠B . Finally, ∠A≅∠B by definition of congruent. 

7 0

3 years ago

Read 2 more answers