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lubasha [3.4K]
2 years ago
9

Tom is throwing darts at a target. In his last 30 throws, Tom has hit the target 20 times. You want to know the estimated probab

ility that exactly
one out of the next three throws does not hit the target.
Categorize the simulations as correct or incorrect simulations of Tom's scenario.
Roll a six-sided die three times. The
numbers 1 to 4 represent hits, and
5 and 6 represent misses.
Spin a spinner with three equal sections
three times. On the spinner, one section
represents a miss and two sections
represent hits.
Generate a set of three numbers using
a number generator with numbers
between 0 and 9. The numbers 0 to 7
represent hits, and 8 and 9 represent
misses.
Generate a set of three numbers using
a number generator with numbers
between 0 and 8. The numbers 0 to 5
represent hits, and 6 to 8 represent
misses.
Spin a spinner with six equal sections
three times. On the spinner, four
sections represent hits and two
sections represent misses.

correct simulations | incorrect simulations
Mathematics
1 answer:
Musya8 [376]2 years ago
6 0

Each scenario can be used to simulate probability, and there are 3 correct scenarios and 2 incorrect scenarios in the list of options

<h3>How to categorize the simulations?</h3>

From the question, we have the following parameters:

  • Number of throws = 30
  • Number of hits = 20

This means that the probability of hit is:

P(Hit) = 20/30

Simplify

P(Hit) = 2/3

Using the complement rule,

P(Miss) = 1/3

The above means that the simulation that represents the situation must have the following parameters:

  • P(Success) = 2/3
  • P(Failure) = 1/3
  • Number of experiments = 3

Using the above highlights, the correct scenarios are:

  • Rolling a die three times with numbers 1 to 4 representing a hit
  • Spinner a spinner of 3 equal sections three times with two sections representing hit
  • Spinner a spinner of 6 equal sections three times with four sections representing hit

Read more about probability at:

brainly.com/question/25870256

#SPJ1

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3) John has decided to invest his $20,000 in two saving accounts. He decides to invest some of it at 4.5% annual interest and th
Elza [17]

The amount he invested in the account that yields 4.5% interest is $7,500.

The amount he invested in the account that yields 2.5% interest is $12,500.

<h3>What is the system of equations that represent the question?</h3>

a + b = $20,000 equation 1

0.045a + 0.025b = $750 equation 2

Where:

a = amount he invested in the account that yields 4.5% interest

b = amount he invested in the account that yields 2.5% interest

<h3>How much was invested in the account that yields 4.5% interest?</h3>

Multiply equation 1 by 0.025

0.025a + 0.025b = 500 equation 3

Subtract equation 3 from 2

250 = 0.02a

a = 12,500

<h3>How much was invested in the account that yields 4.5% interest?</h3>

Subtract 12,500 from 20,000

20,000 - 12,500 = $7,500

To learn more about simultaneous equations, please check: brainly.com/question/25875552

7 0
1 year ago
A gumball machine has various colors of gumballs. There is a 10% chance that the next
iogann1982 [59]

Answer:

It is red

Step-by-step explanation:

4 0
3 years ago
A physical education department wanted a single test of upper body strength that was easy to administer. Dips on the parallel ba
Gennadij [26K]

Answer:

24.23 ; 13.47 ; 0.782 ; p value < 0.00001 ;7.45

Step-by-step explanation:

Given that :

ΣX = 3,416, ΣY = 1,899, SDX = 8.84, SDY = 4.70, ΣZXZY = 109.416

Sample size, N = 141

Mean of X:

£X / N = 3416 / 141 = 24.23

Mean of Y:

£Y / N = 1899 / 141 = 13.47

B.) Correlation between the 2 variables :

£ZXZY / N - 1

= 109.416 / 140

= 0.782

C.)

Level of significance and p value :

T = [Rsqrt(n-2)] ÷ sqrt(1 - R²)

T = [0.782 * sqrt(139)] ÷ sqrt(1-0.782^2)

T = 14.79

P value from Tscore calculator

Df = 141 - 2 = 139 ; α = 0.05

Pvalue = 0.00001

Pvalue < α ; Hence, a significant positive relationship exists.

To obtain regression model :

Slope = £ZXZY / SDX²

m = 109.416 / 8.84^2 = 1. 4

yintercept = meanY - slope*x

yintercept = 13.47 - 1.4*24.3

yintercept = - 20.55

Equation in slope intercept form:

y = mx + c

y = 1.4x - 20.55

For x = 20

y = 1.4(20) - 20.55

y = 7.45

5 0
3 years ago
49 is 70 of what number is sopost to be here
castortr0y [4]
The answer is 70% if your trying to find the percentage if your trying to fing the of it will be 70 also
6 0
3 years ago
Read 2 more answers
The weather man predicted there would be 16 inches of snowfall. When measures, there was only 14 inches of snowfall. What percen
Crank

Answer:80%

Step-by-step explanation:

4 0
2 years ago
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