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There are 4 white and 8 red roses in a bouquet. Find the ratios. The ratio of the number of red roses to the number of white ros

pychu [463]

Given:

Number of white roses = 4

Number of red roses = 8

To find:

The ratio of the number of red roses to the number of white roses.

Solution:

Using the given information, the ratio of the number of red roses to the number of white roses is

$\text{Required ratio}=\dfrac{\text{Number of red roses}}{\text{Number of white roses}}$

$\text{Required ratio}=\dfrac{8}{4}$

$\text{Required ratio}=\dfrac{2}{1}$

$\text{Required ratio}=2:1$

Therefore, the required ratio is 2:1.

7 0

4 years ago

Add.

anyanavicka [17]

Your answer is 9 2/3

6 0

3 years ago

Help me please :) thank you

Ghella [55]

Answer:

do 10 20 20 40 50

Step-by-step explanation:

hope it helps sorry if it does not if not then try 1 2 3 4 5

6 0

3 years ago

What is the mean of this discrete random variable? That is, what is EP), the expected value of X? O A. 32.63 O B. 31.47 O C. 29.

kkurt [141]

According to this formula, we take each observed X value and multiply it by its respective probability. We then add these products to reach our expected value. You may have seen this before referred to as a weighted average. It is known as a weighted average because it takes into account the probability of each outcome and weighs it accordingly. This is in contrast to an unweighted average which would not take into account the probability of each outcome and weigh each possibility equally.

Let's look at a few examples of expected values for a discrete random variable:

Example

A fair six-sided die is tossed. You win $2 if the result is a “1,” you win $1 if the result is a “6,” but otherwise you lose $1.

The Probability Distribution for X = Amount Won or LostX+$2+$1-$1Probability1/61/64/6

E(X)=$2(16)+$1(16)+(−$1)(46)=$−16=−$0.17E(X)=$2(16)+$1(16)+(−$1)(46)=$−16=−$0.17

The interpretation is that if you play many times, the average outcome is losing 17 cents per play. Thus, over time you should expect to lose money.

Example

Using the probability distribution for number of tattoos, let's find the mean number of tattoos per student.

Probabilty Distribution for Number of Tattoos Each Student Has in a Population of StudentsTattoos01234Probability.850.120.015.010.005

E(X)=0(.85)+1(.12)+2(.015)+3(.010)+4(.005)=.20E(X)=0(.85)+1(.12)+2(.015)+3(.010)+4(.005)=.20

The mean number of tattoos per student is .20.

Symbols for Population Parameters

Recall from Lesson 3, in a sample, the mean is symbolized by x¯¯¯x¯ and the standard deviation by ss. Because the probabilities that we are working with here are computed using the population, they are symbolized using lower case Greek letters. The population mean is symbolized by μμ (lower case "mu") and the population standard deviation by σσ(lower case "sigma").

Sample StatisticPopulation ParameterMeanx¯¯¯x¯μμVariances2s2σ2σ2Standard Deviationssσσ

Also recall that the standard deviation is equal to the square root of the variance. Thus, σ=(σ2)−−−−√σ=(σ2)

Standard Deviation of a Discrete Random Variable

Knowing the expected value is not the only important characteristic one may want to know about a set of discrete numbers: one may also need to know the spread, or variability, of these data. For instance, you may "expect" to win $20 when playing a particular game (which appears good!), but the spread for this might be from losing $20 to winning $60. Knowing such information can influence you decision on whether to play.

To calculate the standard deviation we first must calculate the variance. From the variance, we take the square root and this provides us the standard deviation. Conceptually, the variance of a discrete random variable is the sum of the difference between each value and the mean times the probility of obtaining that value, as seen in the conceptual formulas below:

Conceptual Formulas

Variance for a Discrete Random Variable

σ2=∑[(xi−μ)2pi]σ2=∑[(xi−μ)2pi]

Standard Deviation for a Discrete Random Variable

σ=∑[(xi−μ)2pi−−−−−−−−−−−√]σ=∑[(xi−μ)2pi]

xixi= value of the ith outcome
μ=E(X)=∑xipiμ=E(X)=∑xipi
pipi = probability of the ith outcome

In these expressions we substitute our result for E(X) into μμ because μμ is the symbol used to represent the mean of a population .

However, there is an easier computational formula. The compuational formula will give you the same result as the conceptual formula above, but the calculations are simplier.

Computational Formulas

Variance for a Discrete Random Variable

σ2=[∑(x2ipi)]−μ2σ2=[∑(xi2pi)]−μ2

Standard Deviation for a Discrete Random Variable

σ=[∑(x2ipi)]−μ2−−−−−−−−−−−−√σ=[∑(xi2pi)]−μ2

xixi= value of the ith outcome
μ=E(X)=∑xipiμ=E(X)=∑xipi
pipi = probability of the ith outcome

Notice in the summation part of this equation that we only square each observed X value and not the respective probability. Also note that the μμ is outside of the summation.

Example

Going back to the first example used above for expectation involving the dice game, we would calculate the standard deviation for this discrete distribution by first calculating the variance:

The Probability Distribution for X = Amount Won or LostX+$2+$1-$1Probability1/61/64/6

σ2=[∑x2ipi]−μ2=[22(16)+12(16)+(−1)2(46)]−(−16)2σ2=[∑xi2pi]−μ2=[22(16)+12(16)+(−1)2(46)]−(−16)2

=[46+16+46]−136=5336=1.472=[46+16+46]−136=5336=1.472

The variance of this discrete random variable is 1.472.

σ=(σ2)−−−−√σ=(σ2)

σ=1.472−−−−√=1.213σ=1.472=1.213

The standard deviation of this discrete random vairable is 1.213. hope this helps

7 0

4 years ago

Read 2 more answers

Please someone answer

MatroZZZ [7]

Answer:

Structure of the Atom. The number of protons, neutrons, and electrons in an atom can be determined from a set of simple rules. The number of protons in the nucleus of the atom is equal to the atomic number (Z). The number of electrons in a neutral atom is equal to the number of protons.

*Simply the atomic number helps the structure of the atom because the number of protons it's equal to the atomic number.*

4 0

4 years ago