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3 years ago

Suppose you have 7 dark chocolates and 9 light chocolates in a box.

1 answer:

4 0

To be sure of 2 light chocolates, 9 would need to be chosen as you would first need to eliminate the 7 dark chocolates and then pick the extra 2 light ones. For the 2 dark, 11 would bee needed as, again, the 9 lights would need to be eliminated and the other 2 dark accounted for.

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Who is Pythagoras and his contributions to the world of mathematics

sergeinik [125]

In antiquity, Pythagoras was credited with many mathematical and scientific discoveries, including the Pythagorean theorem, Pythagorean tuning, the five regular solids, the Theory of Proportions, the sphericity of the Earth, and the identity of the morning and evening stars as the planet Venus.

7 0

3 years ago

A teetotum is a spinning top that has an equal probability of landing on each side. The expected value of one

Mashcka [7]

Probabilities are used to determine the chances of events

The true statement is (c) the teetotum could land on the number 10

<h3>How to determine the true statement</h3>

From the question, we understand that the spinning top is divided into 12 equal segments

This means that the possible outcomes of the spin is from 1 to 12

Hence, the true statement is (c) the teetotum could land on the number 10

Read more about probabilities at:

brainly.com/question/25870256

7 0

2 years ago

Peter is making green paint by mixing blue and yellow paint in a cuboid container, shown below. The container has width of 30cm

dusya [7]

Answer: height = 17.5cm

Step-by-step explanation: Peter mixes blue and yellow paint in the ratio 2:3, which means:

$\frac{2}{3} = \frac{8.4}{x}$

$x = \frac{8.4*3}{2}$

x = 12.6L

The container is full with the two paints, so total volume:

V = 12.6 + 8.4

V = 21L

Knowing that 1L = 1dm³ and sides of cuboid is measure in cm:

V = 21dm³ = 21000cm³

Volume of a cuboid is calculated as:

V = width*length*height

Height of the container is

height = $\frac{V}{width*length}$

height = $\frac{21000}{30*40}$

height = 17.5cm

The height of the container is 17.5cm.

4 0

3 years ago

Enter the fraction as a decimal and a percent.

vodka [1.7K]

Answer:

1/1 (a whole)

1.00/1

8/8

1.00/1

Step-by-step explanation:

Multiply

7 0

3 years ago

A simple random sample of 50 items from a population with 7 resulted in a sample mean of 35.

Vilka [71]

The 90% , 99% confidence interval for the population mean is 32.145 < $\rm \mu$ < 35.855 and 31.093 < $\rm \mu$ < 36.907

<h3>What is Probability ?</h3>

Probability is the study of likeliness of an event to happen.

It is given that

Total Population = 50

Mean = 35

The confidence interval is given by

$\rm CI = \mu + z \dfrac{s}{\sqrt n}$

$\rm \mu$ is the mean

z is the confidence level value

s is the standard deviation

n is the population width

(a) The 90% confidence interval for the population mean

90% $\rm \alpha / 2$ = 0.05

Z = 1.64

34 $\rm \pm$ 1.64 * 8 / √50

34 $\rm \pm$ 1.855

32.145 < $\rm \mu$ < 35.855

(b) The 99% confidence interval for the population mean

99% $\rm \alpha / 2$ = 0.005

Z=2.57

34 $\rm \pm$ 2.57 * 8 / √50

34 $\rm \pm$ 2.907

31.093 < $\rm \mu$ < 36.907

Therefore the confidence interval for population mean has been determined.

The complete question is

A simple random sample of 50 items from a population width =7 resulted in a sample mean of 35. If required, round your answers to two decimal places.

a. Provide a 90% confidence interval for the population mean

b. Provide a 99% confidence interval for the population mean

To know more about Probability

brainly.com/question/11234923

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8 0

2 years ago