When rolling two fair 6 sided dice, what is the probability that the difference between the scores is more than 3?

Answer:

Step-by-step explanation:

As of today, Chase has won 18 out of 30 games against his brother. The percentage of games that he has won as of today is

18/30 × 100 = 60%

In order to get 75% wins, let the number of games would be x. Then

(18 + x)/(30 + x) × 100 = 75

100(18 + x) = 75(30 + x)

1800 + 100x = 2250 + 75x

100x - 75x = 2250 - 1800

25x = 450

x = 450/25 = 18

chase has to win 18 games in a row.

In order to get 90% wins, let the number of games would be y. Then

(18 + x)/(30 + x) × 100 = 90

100(18 + x) = 90(30 + x)

1800 + 100x = 2700 + 75x

100x - 75x = 2700 - 1800

25x = 900

x = 900/25 = 36

chase has to win 36 games in a row in order to have a 90% winning record.

(18 + x)/(30 + x) × 100 = 100

100(1800 + x) = 100(30 + x)

1800 + 100x = 3000 + 100x

100x - 100x = 3000 - 1800

Therefore, it is impossible to for chase to reach a 100% winning record because he has already had some losses.

2) for a wining record of 90, the total number of games played is

30 + 36 = 66 games and the total number of wins was 18 + 36 = 54

In order to get 55% losses, let the number of games would be z. Then

(54 + z)/(66 + z) × 100 = 55

100(54 + z) = 55(66 + z)

5400 + 100z = 3630 + 55z

100z - 55z = 3630 - 5400

45z = - 1770

z = - 1770/45 = - 40

chase has to lose 40 games in a row in order to drop down to a winning record below 55% again.

Chase would need to win 6 more games for a 75% win record, 108 more games for a 90% win record. He could never achieve a 100% win record due to past losses. If he reached a 90% win record and then lost, he would need to lose 20 games to drop below a 55% record.

To calculate how many games Chase needs to win to achieve a 75% winning record, a solution is needed for the equation (18 + x) / (30 + x) = 0.75, where x represents the additional games won. The solution is x = 6. Therefore, Chase must win an additional 6 games without losing to reach a 75% win record.

For a 90% winning record, we solve the equation (18 + x) / (30 + x) = 0.9. The solution is x = 108. Therefore, Chase must win an additional 108 games without losing to reach a 90% winning record.

Chase is unable to reach a 100% winning record because he has already lost some games and it isn't possible to change those past results.

In the event that Chase reaches a 90% winning record and then begins to lose, we need to find out the number of games he would need to lose to drop to a win rate below 55%. We can solve this by calculating the equation (126) / (138 + y) = 0.55, where y is the lost games. Solving for y, we get y = 20, so Chase would have to lose 20 games in a row.

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The number line to model the expression 1/8 - (-3/4) would start at 1/8, and move 6/8 steps to the right to reach 7/8 because subtracting a negative is the same as adding a positive.

To solve the mathematical expression 1/8 - (-3/4), we need to understand that subtracting a negative number is equivalent to adding a positive number. Hence, we rewrite the expression as 1/8 + 3/4.

Before you can add these two fractions, they must have a common denominator. The least common denominator (LCD) for 8 and 4 is 8, so we rewrite 3/4 as 6/8 to match the denominator of 1/8.

Now, you can add 1/8 + 6/8 to get 7/8.

A number line that models this expression would start at 1/8 and go forward 6/8 (equivalent to 3/4) steps to end at 7/8.

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To model the expression 1/8 - (-3/4) on a number line, you would first convert the expression to 1/8 + 3/4 by changing the minus negative to a plus. Then, find a common denominator and add the fractions to get 7/8. This result is represented on a number line by starting at 1/8 and moving right to reach 7/8.

To model the expression 1/8 - (-3/4) on a number line, we need to understand that subtracting a negative is the same as adding its positive counterpart. Therefore, the expression simplifies to 1/8 + 3/4. To add these fractions together, they must have a common denominator. The least common denominator for 8 and 4 is 8. So, we convert 3/4 to 6/8, since 3 multiplied by 2 gives us 6, and 4 multiplied by 2 gives us 8. Adding 1/8 to 6/8 gives us 7/8.

On a number line, we would start at the point representing 1/8 and then move to the right by 6/8 (which represents 3/4) to arrive at 7/8. This portrays the answer to our initial expression, 1/8 - (-3/4) = 7/8.

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Answer: [tex]5766.503\ \text{wolves}[/tex]

Step-by-step explanation:

Given

Current Population of wolves is [tex]P_o=100[/tex]

If the growth rate is [tex]=0.5[/tex]

So the population in next year is

[tex]P_1=100+100\times 0.5[/tex]

[tex]P_1=100(1+0.5)[/tex]

similarly [tex]P_2=100(1+0.5)^2[/tex]

So population after n years is [tex]P_n=P_o(1+r)^n[/tex]

Population after 10 years is

[tex]P_{10}=100(1+0.5)^{10}[/tex]

[tex]P_{10}=5766.503\ \text{wolves}[/tex]

Answer:

100 inches square

Step-by-step explanation:

The surface is a trapezoid

Area = ½ × (sum of // sides) × height

= ½ × (5+15) × 10

= ½ × 20 × 10

= 100 in²

Answer:

Check the explanation

Step-by-step explanation:

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: μ = 300000

Alternative Hypothesis, Ha: μ < 300000

Test statistic,

z = (xbar - mu)/(sigma/sqrt(n))

z = (288000 - 300000)/(80000/sqrt(25))

z = -0.75

P-value Approach

P-value = 0.2266

As P-value >= 0.05, fail to reject null hypothesis.

The parameter of interest is the average net worth of families living in the city. Hypothesis testing can be used to evaluate the mayor's claim using a random sample of households. The test statistic can be calculated using the sample mean, sample standard deviation, and sample size.

The parameter of interest in this question is the average net worth of families living in the city. The mayor claims that the average net worth is at most $300,000. To determine if this claim is true, a random sample of 25 families is selected. The mean net worth of this sample is $288,000. This mean is an estimate of the population mean net worth.

Based on the information given, the population standard deviation of net worth for all families in the city is $80,000. This information allows us to perform hypothesis testing to evaluate the claim made by the mayor.

Test Statistic = (Sample Mean - Population Mean) / (Sample Standard Deviation / sqrt(Sample Size))

Plugging in the values:

Test Statistic = (288,000 - 300,000) / (80,000 / √25)

After calculating the test statistic, we can compare it to the critical value of the test (based on the desired significance level) to determine if we reject or fail to reject the null hypothesis. If the test statistic is less than the critical value, we reject the null hypothesis and conclude that there is evidence to support the claim that the average net worth of families living in the city is less than $300,000.

By providing a random sample from the population, we can use hypothesis testing to evaluate the mayor's claim and determine if there is evidence to support it.

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Answer:

We need a sample size of at least 383.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

85% confidence level

So [tex]\alpha = 0.15[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.15}{2} = 0.925[/tex], so [tex]Z = 1.44[/tex].

How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 85% confidence level with an error of at most 0.03

We need a sample size of at least n.

n is found with [tex]M = 0.03, \pi = 0.21[/tex]

Then

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.44\sqrt{\frac{0.21*0.79}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.44\sqrt{0.21*0.79}[/tex]

[tex]\sqrt{n} = \frac{1.44\sqrt{0.21*0.79}}{0.03}[/tex]

[tex](\sqrt{n})^{2} = (\frac{1.44\sqrt{0.21*0.79}}{0.03})^{2}[/tex]

[tex]n = 382.23[/tex]

Rounding up

We need a sample size of at least 383.

To estimate the proportion of tenth graders reading at or below the eighth grade level with an 85% confidence level and a 0.03 margin of error, a sample size of 550 students is needed.

To estimate the fraction of tenth grade students with reading skills at or below the eighth grade level with an 85% confidence interval and a margin of error of at most 0.03, we use the following formula for sample size:

⇒ n = (Z² × p × (1 - p)) ÷ E²

Where:

For an 85% confidence level, the z-value is approximately 1.44. Plugging in the values:

⇒ Z² × p × (1 - p) = 1.44² × 0.21 × (1 - 0.21)

≈ 0.494668.

⇒ E² = 0.03²

= 0.0009.

⇒ 0.494668 ÷ 0.0009 ≈ 549.63.

Therefore, the required sample size is 550 students.

Complete question:

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.21. How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 85% confidence level with an error of at most 0.03? Round your answer up to the next integer.

Answer:B

Step-by-step explanation:

Given

There are total of 500 stickers

Each sheet has 20 stickers out of which 25 % is Hearts and remaining are stars

So in each sheet 5 are hearts and 15 are stars

therefore in [tex]\frac{500}{20}=25[/tex] sheet

There are [tex]25\times 5=125[/tex] heart stickers

and [tex]25\times 15=375[/tex] star stickers

So statement B is true

Answer:

u+v= -13i-9j

Step-by-step explanation:

u=-7i - 5j and v= -6i - 4j

u+v=-7i-5j+(-6i-4j)=-7i-5j-6i-4j

u+v=-13i-9j

Answer:

U + V​= i-9j

Step-by-step explanation:

hello :

U=-7i - 5j and V= -6i - 4j so :  U + V​=(7i-6i)+(-5j-4j)

U + V​= i-9j

Answer:

spinning a 1 or 2

Step-by-step explanation:

less than 3 is 1 or 2

Answer:

B

Step-by-step explanation:

taking the test too

Answer:

Hay 375 vacas y 125 ovejas

Step-by-step explanation:

Para resolver este problema simplemente tenemos que plantear una igualdad entre vacas y ovejas

b = oveja

v = vaca

v = 3b

b + v = 500

reemplazamos la b por (3v) en la segunda ecuacion

b + v = 500

b + 3b = 500

4b = 500

b = 500/4

b = 125

reemplazamos este valor en la primer ecuacion

v = 3b

v = 3(125)

v = 375

Hay 375 vacas y 125 ovejas

Answer:

Only 0.0668 of the candidates, or 6.68%, have a GPA above 3.9.

Step-by-step explanation:

The GPA, according to the question, is a random variable normally distributed. A normal distribution is determined by its parameters. These parameters are the population mean, [tex] \\ \mu[/tex], and the population standard deviation, [tex] \\ \sigma[/tex]. The normal distribution for GPA has a [tex] \\ \mu = 3.3[/tex], and [tex] \\ \sigma = 0.4[/tex].

To find probabilities related to normally distributed data, we can use the standard normal distribution. To use it, we first need to find the corresponding standardized score or z-score for the value we want to obtain the probability. This value, in this case, is x = 3.9. The related z-score or standardized value is given by the formula:

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex] [1]

A z-score tells us the distance from the mean in standard deviations units. A negative value indicates that the value is below the mean. A positive value is, conversely, above the mean.

And we already have all the necessary data to use [1].

Thus

[tex] \\ z = \frac{3.9 - 3.3}{0.4}[/tex]

[tex] \\ z = \frac{0.6}{0.4}[/tex]

[tex] \\ z = 1.5[/tex]

This value for z tells us that the "equivalent" raw score, x = 3.9, is above the mean, and it is at 1.5 standard deviations units from the population mean.

We can find the probabilities for standardized values in the cumulative standard normal table, available on the Internet or in Statistic books (we can also use statistical packages or even spreadsheets).

To use the cumulative standard normal table, we have the z-score as an entry. With this value, we find the z column on this table, and, since it is z = 1.5, we only need to select the first column (which has two decimal places, that is, .00). Then, the cumulative probability for P(z<1.50) = 0.9332.

However, we are asked for the percent of candidates that have a GPA above 3.9 (z-score = 1.50). This probability is the complement of P(z<1.50) or 1 - P(z<1.50). Mathematically

[tex] \\ P(z<3.9) + P(z>3.9) = 1[/tex]

[tex] \\ P(z<1.50) + P(z>1.50) = 1[/tex] (standardized)

[tex] \\ P(z>1.50) = 1 - P(z<1.50)[/tex]

[tex] \\ P(z>1.50) = 1 - 0.9332[/tex]

[tex] \\ P(z>1.50) = 0.0668[/tex]

That is, only 0.0668 of the candidates, or 6.68%, have a GPA above 3.9.

We can see this probability in the graph below.

Answer:

by the way what grade are you in? If you are more than 7th grade can you help me? https://brainly.com/question/16233847

35 mph

Step-by-step explanation:

7 times 5

Answer:

pretty sure y should equal 15

The solution of the linear equation (3 + 5) × 2Y = (5 × 8) - (2 × 4) will be 2.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given below.

(3 + 5) × 2Y = (5 × 8) - (2 × 4)

Simplify the equation, then the value of the variable y will be

8 × 2Y = 40 - 8

    16Y = 32

        Y = 32 / 16

        Y = 2

The solution of the linear equation (3 + 5) × 2Y = (5 × 8) - (2 × 4) will be 2.

More about the solution of the equation link is given below.

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Answer:

B) the flow of goods and services

Step-by-step explanation:

Balance of payments (BOP) is a statement of all transactions made between one country and the rest of the world at a particular period of time. It is also called balance of international payment. BoP is divided into current and capital account.

1. The current account: This is account of country's net trade in goods and services, net earnings on cross-border investments, and its net transfer payments. The current account measures the flow of goods and services.

2. The capital account: This is a country's imports and exports of capital and foreign aid. It can also be called financial account.

The sum of all transactions recorded in the balance of payments should be zero.

Balance of payment deficit is when a country's import is higher than its export.

Balance of payment surplus is when a country's export is greater than its import.

Answer:

We define the random variable X as the walking age and we are interested if American children learn to walk less than 15 months so then that would be the alternative hypothesis and the complement would be the null hypothesis.

Null hypothesis: [tex]\mu \geq 15[/tex]

Alternative hypothesis: [tex]\mu <15[/tex]

And for this case the best answer would be:

H 0 : μ ≥ 15 vs. Ha : μ < 15

Step-by-step explanation:

We define the random variable X as the walking age and we are interested if American children learn to walk less than 15 months so then that would be the alternative hypothesis and the complement would be the null hypothesis.

Null hypothesis: [tex]\mu \geq 15[/tex]

Alternative hypothesis: [tex]\mu <15[/tex]

And for this case the best answer would be:

H 0 : μ ≥ 15 vs. Ha : μ < 15

And the data given from the sample is:

[tex]\bar X = 13.2[/tex] represent the sample mean

[tex]\sigma[/tex] represent the population deviation

[tex] n = 40[/tex] represent the sample size

And the statistic would be given by:

[tex] z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

Answer:

Yes.

Step-by-step explanation:

9/10 is equal to 18/20, which is evidently greater than 3/20.

The correct sentence is: Kino said that if play practice does not start on time, the director "will be mad."

The correct sentence is: Kino said that if play practice does not start on time, the director "will be mad."

In this sentence, the verb "will" is correctly written in lowercase, as it is not a proper noun or the start of a sentence. Additionally, the punctuation marks, such as the quotation marks and the comma, are correctly placed.

It is important to use proper capitalization and punctuation to ensure clear and effective communication in writing.

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Answer:

2.833  BTUs per cubic foot were produced.

Step-by-step explanation:

BTU's produced by one person = 800

No. of students = 34

Therefore no. of  BTU's produced by 34  person = 800 * 34 = 27,200 BTU

Dimension of class  25 feet by 32 feet by 12 feet

Volume of class = length * width * height = 25 * 12 * 32 = 9,600 cubic feet

________________________________________________

BTUs per cubic foot  produced = Total  BTU's produced by 34  person/ Volume of class

Substituting the value of Total BTU produced and volume of class

BTUs per cubic foot  produced =  27,200 BTU/  9,600 cubic feet

                                                    = 2.833 BTUs per cubic foot

2.833  BTUs per cubic foot were produced.

Answer:X= 19/2

Step-by-step explanation:

Find the given attachment for complete answer and solution

Answer:

The correct option is (C).

Step-by-step explanation:

A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.  

It is a hypothesis of no difference.

It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.

Whereas the alternative hypothesis is a contradicting statement tot he null hypothesis. It is denoted by Hₐ.

In this case we need to test whether the average age of online consumers has increased or not.

From previous data we know that the average age of online consumers a few years ago was 24.1 years.

A one-sample mean test can be used to determine whether the mean age has increased or not.

The hypothesis for the test can be defined as follows:

H₀: The average age of online consumers is 24.1 years, i.e. μ = 24.1.

Hₐ: The average age of online consumers is more than 24.1 years, i.e. μ > 24.1.

Thus, the correct option is (C).

Answer: 78.5 feet squared for short answer

Step-by-step explanation:

If the diameter is 10 feet, then the radius is half of that, or 5 feet. feet squared is the EXACT answer, and we surely didn't need a calulator for this one. However, a real world answer is probably more appropriate if you were trying to measure the area. So the area of our trampoline is about 78.5 feet squared.

Answer:

78.54 square feet

Step-by-step explanation:

The formula to find the area of a circle is πr², and since we know the diameter is 10 ft we know the radius is 5 feet, so π5²=78.54

To calculate the time it takes for the car to travel 169 miles at an average speed of 52 mph, divide the distance by the speed. The car would take approximately 3.25 hours.

To calculate the time it takes for the car to travel 169 miles, we can divide the distance by the average speed. The formula for speed is:

Speed = Distance / Time

Rearranging the formula to solve for time, we get:

Time = Distance / Speed

Plugging in the values, we have:

Time = 169 miles / 52 mph

Calculating this, the car would take approximately 3.25 hours to travel 169 miles.

Answer:

-1, 0,1

Step-by-step explanation:

Hope this helps.

Answer:

$9.33

Exponential growth.

Step-by-step explanation:

The formula for an exponential function is:

abˣ = y OR

a(1 + r)ˣ = y

a is the initial value (4.22)

r is the rate of increase (3.1% or 0.031 in dec. form) where 1 + r is b

x is the time (26 years)

y is the ending value.

If we plug those values in, the equation will turn out to be 4.22(1 + 0.031)²⁶ = y

Plug it into a calculator and you will get 9.333354216

This is exponential growth because x, the initial value, increases to get to y, the ending value.

1/2 : the probability of getting an even  number when a six-sided die is  rolled.

1/6 : the probability of getting a six when a six-sided die is rolled.

1/7 :  the probability of randomly picking a vanilla-scented candle from a set of 3 vanilla-scented candles, 8 rose-scented candles,  and 10 lavender-scented candles.

1/8 : the probability of selecting a girl named Maria to be line leader from a class of 32 girls in which 4 students are named Maria.

Answer:

-13

Step-by-step explanation:

used a calculator ._.

Answer:

$2375.70

Step-by-step explanation:

5.68x=13,494

x=2375.70

Corrected Question

These are the given probabilities. The Venn diagram is also attached. are (A) P(A|C) = 2/3

(B) P(C|B) = 8/27

(C) P(A) = 31/59

(D) P(C) = 3/7

(E) P(B|A) = 13/27

Answer:

A and C

Step-by-step explanation:

[tex]P(A|C)=\dfrac{P(A\cap C)}{P(C)}= \dfrac{14/59}{21/59}=\dfrac{14}{21}=\dfrac{2}{3}[/tex]

[tex]P(C|B) =\dfrac{P(C\cap B)}{P(B)}= \dfrac{11/59}{27/59}=\dfrac{11}{27}\neq \dfrac{8}{27}\\\\P(A) = \dfrac{31}{59}\\\\P(C) =\dfrac{21}{59}\neq \dfrac{3}{7}\\\\P(B|A)=\dfrac{P(B\cap A)}{P(A)}= \dfrac{13/59}{31/59}=\dfrac{13}{31}\neq\dfrac{13}{27}[/tex]

From the above, only A and C are correct.

Answer: A and C

Step-by-step explanation:

Edg 2021

Answer:

Yes, right triangle

Step-by-step explanation:

Since it is a right triangle, we can use Pythagorean Theorem.

a^2+b^2=c^2

a and b are the legs, or shorter sides, and c is the hypotenuse, or the longest side.

We have 3 side lengths: 6, 8 and 10

6 and 8 are the shorter legs, so they are a and b.

10 is the longest leg, so it is c

Substitute the values into the equation, and see if it is true.

6^2+8^2=10^2

Evaluate the exponents

36+64=100

100=100

Since this is a true statement, these sides can make a right triangle.