34 and 1012 equivalent not equivalent

2. When a person is selected at random from a very large population, the probability that the selected person is righthanded is

raketka [301]

Answer:

a) 0.5514

b) 0.0058

Step-by-step explanation:

Data provided in the question:

Probability that the the selected person is righthanded, P(R) = 0.82

Therefore,

Probability that the the selected person is not righthanded, P(R') = 1 - 0.82

= 0.18

Now,

a. They are all right-handed

P (They are all right-handed) = P(R) × P(R) × P(R)

= 0.82 × 0.82 × 0.82

= 0.5514

b) None of them is right-handed

P (None of them is right-handed) = P(R') × P(R') × P(R')

= 0.18 × 0.18 × 0.18

= 0.0058

4 0

3 years ago

A bucket is leaking. After 3 hours the bucket has leaked 3/4 of an ounce. How many ounces per hour is the bucket leaking?

Bogdan [553]

The bucket leaks 1/4 ounce per hour. Because the numerator is 3 and it took 3 hours, you can give 1/4 to every hour (3/4 divided by 3).

6 0

3 years ago

Two consecutive integers have a sum of 195. Find the integeres

natta225 [31]

Hey ! there

Answer:

First Integer is 97

Second Integer is 98

Step-by-step explanation:

The question says that two consecutive Integer have a sum of 195 . And we are asked to find the integers.

For finding integers we are assuming them . So ,

Let the first integer be x .

Let the second integer be x + 1 ( This is because in question it's given that they are consecutive integers )

Solution : -

According to question ,

First Integer + Second Integer = 195

So ,

$\dashrightarrow \qquad \: x + x + 1 = 195$

Step 1 : Adding like terms ( x and x ) on left side :

$\dashrightarrow \qquad \: 2x + 1 = 195$

Step 2 : Subtracting 1 on both sides :

$\dashrightarrow \qquad \: 2x + \cancel{1} - \cancel{1} = 195 - 1$

Simplifying it ,

$\dashrightarrow \qquad \: 2x = 194$

Step 3 : Dividing with 2 on both sides :

$\dashrightarrow \qquad \: \dfrac{ \cancel{2}x}{ \cancel{ 2}} = \cancel{\dfrac{194}{2} }$

On further calculations , We get :

$\dashrightarrow \qquad \: \purple{\underline{\boxed{\frak{ x = 97}}}} \quad \: \bigstar$

We know that ,

x = first number

✰ Therefore , first number is 97 .

x + 1 = second number
97 + 1
98

✰ Therefore , second number is 98. 

Verifying : -

Now , we are verifying our answer by substituting value of first and second number and equating it with 195 . So ,

97 + 98 = 195

195 = 195

L.H.S = R.H.S

Hence , Verified .

Therefore , our solution is correct .

<h2>#Keep Learning</h2>

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2 years ago

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Which phrase best defines a trapezoid? A. congruent diagonals B. exactly one pair of parallel sides C. exactly two congruent sid

Tems11 [23]

It would be B because the two bases of the trapezoid go in the same direction but are not the same length

8 0

3 years ago

PLEASE HELP I NEED TI GO TO BED AND ITS 12 am! Select the ordered pairs that are solutions to the inequality 2x-3y greater than

max2010maxim [7]

(8,1);((-2,-6)

2•8-3•1>=12
16-3>=12
13>=12

2•(-2)-3(-6)>=12
-4+18>=12
14>=12

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3 years ago

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