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3 years ago

Rachel has a bag containing 3 red marbles, 5 purple marbles, and 10 blue marbles.

Mathematics

1 answer:

tankabanditka [31]3 years ago

7 0

Answer:

5/18, 13/18

Step-by-step explanation:

The basic probability of anything is Specific Outcome / Total Outcomes

The specific outcome here is pulling a purple marble. We see there are 5 purple marbles therefore there are 5 ways to get them. The total outcomes are the total number of marbles which is 18. Therefore, the answer is 5/18

The complement of a probability is 1 minus the original probability, so, it would be 1 - 5/18 here getting us 13/18 as the answer.

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What is the area of the trapezoid below pls help lol

Irina18 [472]

Gotchu

Trapezoid formula is
A + b over 2 (h)

46 + 26 over 2 times 19 = 684

7 0

3 years ago

Read 2 more answers

Please help! Does anyone know how to work this surface area question out???

Alik [6]

Surface area of a cylinder=(2xxradiusxheight)+(xradius^2x2)

Radius=Diameter/2
Radius=6/2
=3 m
Height=14 m
Surface area=(2xx3x14)+(x3^2x2)
Surface area=263.8937829+56.54866776
Surface area=320.4424507 m^2
=320.4 m^2

Tin of paint: 90 m^2/3.70 euros
Number of tins needed=320.4/90
=3.56 cans of paint
Price=3.56x3.70
Price=13.172 euros

Hope this helps!
P.S. the “^” sign means “to the power of”
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6 0

3 years ago

Three coins are flipped.

Darina [25.2K]

Step-by-step explanation:

when 3 coins are flipped the following outcomes are possible

h = heads, t = tails

h h h

h h t

h t h

h t t

t h h

t h t

t t h

t t t

yes, there have to be 8 options, because we have 3 positions with 2 possible outcomes. that means

2×2×2 = 2³ = 8 possibilities.

at least 2 tails means 2 or 3 t in the list item :

h t t

t h t

t t h

t t t

so, 4 out of the 8 possible outcomes. the probability is then therefore

4/8 = 1/2 = 0.5

8 0

2 years ago

Suppose 46% of politicians are lawyers. If a random sample of size 662 is selected, what is the probability that the proportion

Svet_ta [14]

Answer:

0.9606 = 96.06% probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 4%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$