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garik1379 [7]
4 years ago
6

A true false test has 8 questions. What is the probability of guessing the correct answers to all of the questions?

Mathematics
1 answer:
givi [52]4 years ago
7 0
Each individual question has a prob of 1/2 of being correct so its
(1/2)(1/2) .... (1/2) --- (8 times)
= (1/2)^8
= 1/256

so the answer is 1/256
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Please help! A hat has the following marbles in it: 5 gray, 3 red, 6 white, 2 yellow and 4 green.
abruzzese [7]

Answer:

1/40

Step-by-step explanation:

Probability: (number of ways to achieve the desired result / number of possible results)

For example, if we want a coin to land on heads:

We know there is one way for it to land on heads and two possible outcomes. Thus, the possibility of flipping a head is 1/2.

Using this, we know that there are 5 grey marbles (the desired result) and there are  (5 + 3 + 6 + 2 + 4) total possible outcomes. The probability of drawing a grey marble is then:

5 / (5 + 3 + 6 + 2 + 4) =

5/20 =

1/4

We also know that there are 2 yellow marbles, so the probability of drawing one would be: 2 / 20 = 1/10

To find the probability of both of these events happening right after each other, multiply the probability of them each happening together.

1/4 * 1/10 = 1/40 chance of picking a grey marble and then a yellow marble.

5 0
3 years ago
Which data set has a variation, or mean absolute deviation, similar to the data set in the given dot plot?​
adelina 88 [10]

Answer:

B

Step-by-step explanation:

I just had the same question :)

8 0
3 years ago
Which sum or difference identity could be used to prove that sin(pie + q) = -sin q
Paladinen [302]

Answer:

see below

Step-by-step explanation:

<em><u>sin(a+b) = sin(a)cos(b) + cos(a)sin(b)</u></em>

sin(π+q) = sin(π)cos(q) + cos(π)sin(q)

sin(π) = 0

cos(π) = -1

therefore

sin(π+q) = 0*cos(q) -sin(q) = -sin(q)

7 0
3 years ago
Choose the ratio in simplest form. 8:2
GuDViN [60]

Answer:

4:1

Step-by-step explanation:

4 0
3 years ago
if it takes 10 minutes for 15 machines to make 5 widgets, how many minutes would it take 5 machines to make 15 widgets
pshichka [43]

The number of minutes it will take 5 machines to make 15 widgets is 90 minutes

Given that :

The time taken to make a widget is directly proportional to the number of widgets made and inversely proportional to the number of machines utilized.

Using the variation protocol defined :

Let :

n = number of widgets made

n = number of widgets made m = number of machines used

n = number of widgets made m = number of machines used t = time taken

Hence, from joint variation :

t α n α 1/m

t = kn/m

Where k = constant of proportionality :

Solving for k

When t = 10, n = 5, m = 15

10 = (k × 5) / 15

15 × 10 = 5k

150 = 5k

k = 150 / 5

k = 30

Equation becomes :

t = 30n/m

Solve for t ;

When m = 5 ; n = 15

t = (30 × 15) / 5

5t = 450

t = 450 / 5

t = 90

Hence, it will take 90 minutes.

Learn more : brainly.com/question/18796573

4 0
3 years ago
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