On New Year's Eve, the probability of a person having a car accident is 0.09. The probability of a person driving while intoxicated is 0.32 and probability of a person having a car accident while intoxicated is 0.15. What is the probability of a person driving while intoxicated or having a car accident

Answer:

.14

Step-by-step explanation:

The relative frequency that favors football is around 0.14, or 14%.

Given that Phoebe took a survey of her classmates' favorite sport.

We need to find the relative frequency of survey members who prefer football,

Preferred sports =

Football    baseball     basketball    tennis       others     total

     4              5                     8                 7              4          28

To calculate the relative frequency of survey members who prefer football, you need to divide the number of people who prefer football by the total number of survey respondents.

According to the table, the number of people who prefer football is 4, and the total number of respondents is 28.

Relative Frequency = Number of people who prefer football / Total number of respondents

= 4 / 28

≈ 0.14

Therefore, the relative frequency of survey members who prefer football is approximately 0.14 or 14%.

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Answer: 140°

Step-by-step explanation:

- all straight lines are 180°

- since ACD and DCB help to create the straight line they must equal 180° when combined

- so 180 - 40 = 140

- therefore, ACD is 40° and DCB is 140°

hope this helps :)

Answer: c)12.2

Step-by-step explanation:

let me show you how to answer this question

1. add all the numbers 11+11.5+12+14+12.5=61

2. then divide 61 by how many numbers we had to add in this case is 5 (the equal number doesn't count.) 61÷5=12.2

Answer:

Mean= Sum of all values ÷ Number of values

so...

the answer is 14.6

hope you are all clear with mean now just use the formula everytime when calculating MEAN

The reflexive closure of a relation on a set is the smallest reflexive relation that contains the original relation. In other words, it is the addition of pairs that ensure every element in the set is related to itself. To form the reflexive closure, we need to add pairs that relate each element in the set to itself.

To form the reflexive closure of relation r on the set {0, 1, 2, 3}, we need to add ordered pairs that ensure every element in the set is related to itself. In other words, we need to add pairs of the form (x, x) for each element x in the set that is not already present in relation r.

In this case, the reflexive closure of relation r would require adding the following ordered pairs: (0, 0), (1, 1), (2, 2), and (3, 3). These pairs ensure that every element in the set {0, 1, 2, 3} is related to itself, making the relation reflexive. These pairs ensure that every element is related to itself, satisfying the reflexivity property.

By adding these additional ordered pairs, we have modified relation r to include reflexivity, as every element now has a direct relation to itself in the set.

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The number of employees that must be included in the sample to be 95% confident that the sample mean is within 1.5 hours of the population mean is 107 employees.

To estimate the mean number of hours worked by all grocery store employees in the county with 95% confidence and a margin of error of 1.5 hours, we can use the sample size formula:

n = (Z * σ / E)²

where:
- n is the required sample size
- Z is the critical value (1.96 for a 95% level of confidence)
- σ is the population standard deviation (7.9 from the previous study)
- E is the margin of error (1.5 hours)

Plugging in the given values:

n = (1.96 * 7.9 / 1.5)²

n ≈ 106.56

Since you cannot have a fraction of an employee, you need to round up to the nearest whole number. Therefore, the researcher must include 107 employees in the sample to be 95% confident that the sample mean is within 1.5 hours of the population mean.

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Answer:

\(m = 35.65 \\ b = 17.25\)

Step-by-step explanation:

srry if its wrong but I think it's right :)

btw for the first one

p=19.53

Answer:

line plot

Step-by-step explanation:

The equation is true for any value of x! This means that no matter how many tools Victor gives to Ilay, the ratio of their tools will never be 3:4. Therefore, there is no solution to this problem.

Let's start by using algebra to represent the given information. Let's say that the number of tools Victor has is represented by the variable "v" and the number of tools Ilay has is represented by the variable "i".

According to the problem, we know two things:

The ratio of Victor's tools to Ilay's tools is 5:2, which can be written as:

v/i = 5/2

Victor has 42 more tools than Ilay, which can be written as:

v = i + 42

Now, we want to find how many tools Victor should give to Ilay so that the ratio becomes 3:4. Let's say that the amount of tools Victor gives to Ilay is represented by the variable "x".

After giving x tools to Ilay, Victor will have v-x tools, and Ilay will have i+x tools. We want to find the value of x that makes the ratio of v-x to i+x equal to 3:4.

So, we can set up the following equation:

(v-x)/(i+x) = 3/4

Now we can substitute the expression for v and the ratio of v/i to get an equation in terms of i and x:

(i+42-x)/(i+x) = 3/4

Next, we can cross-multiply to get rid of the denominators:

4(i+42-x) = 3(i+x)

Simplifying this equation:

4i + 168 - 4x = 3i + 3x

Combining like terms:

i = 7x - 168

Now we have an equation that relates the number of tools Ilay has to the number of tools Victor gives him. We can substitute this into the equation v=i+42 to get an equation that only involves x:

v = 7x - 126

Finally, we can use this equation to find the value of x that makes the ratio 3:4.

(v-x)/(i+x) = 3/4

(7x-126-x)/(i+x) = 3/4

6x-126 = (3/4)(i+x)

6x-126 = (3/4)(7x-168+x)

6x-126 = (3/4)(8x-168)

6x-126 = 6x - 126

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The ratio by mass of copper to zinc in the alloy is 3:1.

To find the ratio by mass of copper to zinc in the alloy, we need to first calculate the total mass of the alloy. We can do this by adding the mass of copper and zinc:

Total mass of alloy = 13.5 g + 4.5 g = 18 g

Now we can find the ratio of copper to zinc by dividing the mass of copper by the mass of zinc:

Ratio of copper to zinc = 13.5 g / 4.5 g = 3:1

Therefore, the ratio by mass of copper to zinc in the alloy is 3:1.

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Answer: C

Step-by-step explanation:

Answer:

Step-by-step explanation:

because if you add 18x to both sides of the equation and simplify, you get 0= -18. C.) because if you subtract 18x from both sides of the equation and simplify, you get.

There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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Answer:

(-19, 22)

Step-by-step explanation:

Let the coordinates of H be (x,y).

\(\frac{-11+x}{2}=-15 \implies x=-19 \\ \\ \frac{4+y}{2}=13 \implies y=22 \\ \\ \therefore H=(-19, 22)\)

Answer:

\(x = + - \sqrt{ \frac{y - 1}{16} } \)

Step-by-step explanation:

\(y - 1 = 16 {x}^{2} \\ \frac{y - 1}{16} = {x}^{2} \\ + - \sqrt{ \frac{y - 1}{16} } = {x} \\ x = + - \sqrt{ \frac{y - 1}{16} } \)

Answer:

\(1\frac{3}{8}\)

Step-by-step explanation:

Either you typed the question wrong, or the answers wrong. I double-checked with a calculator. The answer I got isn't one of the options :/

Answer:

5.8

Step-by-step explanation:

92.8-80.0=12.8

then 12.8-12.8=0

bold means fill that for boxes

Answer: 816, 81.6%, 0.816, or 81600

Step-by-step explanation:

552 + 264 = 816

81600 as a percent(81.6%)

0.816 as a decimal

102/125 as a fraction

Answer:

x2 - 2x - 15 = 0

(x - 5)(x + 3) = 0

x = 5 or x = -3

Since x is a positive integer, x = 5

Therefore, the sides of the triangle are 5 cm, 12 cm and 13 cm.

Answer: unit price: $.50

Step-by-step explanation: 3 ÷ 6= .50

Answer:

Step-by-step explanation:

-8(x-4)-1/4(12x-8)=

=-8x+32-1/4(4)(3x-2)=

=-8x+32-3x+2=-11x+34

-11x=-34

x=34/11=3 1/11

Answer:

\(x = \frac{1}{5} \)

Step-by-step explanation:

8-9=-5x

-1=-5x (divide both sides by -5)

x=-1/5 (since they r both negative they both become positive)

x=1/5

The function f(x) = x^4 + bx^2 + 1 has an inflection point at x = 0,

What is the inflection point?

An inflection point of a function is a point on the graph of the function where the concavity (curvature) of the graph changes. In other words, an inflection point is a point where the curve switches from being concave up to concave down, or vice versa.

The function f(x) = x^4 + bx^2 + 1 has an inflection point at x = 0, because the concavity of the graph changes at that point. To find the value of b such that the function has at least one inflection point over the interval (1,2), we can set x = 1 and x = 2 in the function and solve for b.

If we set x = 1, we get the equation f(1) = 1 + b + 1 = 0. Solving for b, we find that b = -2.

If we set x = 2, we get the equation f(2) = 16 + 2b + 1 = 0. Solving for b, we find that b = -9.

Since the function has an inflection point at x = 0 for any value of b, it will have at least one inflection point over the interval (1,2) for any value of b.

Therefore, the value of b can be any real number.

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Answer:

y = 4x + 13

Step-by-step explanation:

First of all, if they are parallel, they must have the same slope, so the 4x is the same. all we need to do now is to change the b to make it cross the point (-3, 1). Doing so, we see that the y-intercept becomes 13. Therefore, the equation is y = 4x + 13.

The case study "Multiple Regression Analysis: A Case Study" aims to address the specific questions of determining the  following:

This case study examines the application of multiple regression analysis to determine the relationship between the dependent variable (monthly rent) and several independent variables (premises size, distance to the city center, age of building, and number of amenities). The primary objective is to evaluate the goodness of the regression model used to predict the monthly rent based on these independent variables.

To assess the model's goodness, two metrics are commonly used: the coefficient of determination (R-squared) and the F-test for overall significance. The R-squared measures the proportion of the variation in the dependent variable (monthly rent) explained by the independent variables. A higher R-squared indicates a better fit of the model. The F-test determines whether the regression model, as a whole, is statistically significant.

To identify the most important predictor variable, we can examine the standardized regression coefficients or the t-statistics for each independent variable. The variable with the largest coefficient or the highest t-value is considered the most influential predictor. It signifies the variable that has the strongest impact on the monthly rent.

In terms of determining the insignificance of independent variables at an alpha level of 0.05, we can analyze the p-values associated with each independent variable's coefficient. If the p-value is greater than 0.05, the variable is considered not statistically significant and may be excluded from the model.

To determine the percentage of variation in the dependent variable accounted for by the independent variables, we look at the R-squared value. It represents the proportion of the total variation in monthly rent explained by the model. A higher R-squared implies that a larger percentage of the variation is explained by the independent variables.

Lastly, to estimate the monthly rent increase for a one-square-foot increase in premises while holding other factors constant, we examine the coefficients of the independent variables. The coefficient associated with the premises size will indicate the change in the monthly rent for a unit increase in premises size.

In conclusion, this case study aims to address various questions related to the goodness of the regression model, identification of significant predictors, determination of insignificant variables, estimation of the explained variation, and calculation of the rent increase for a change in premises size. The answers to these questions can be obtained through careful analysis of the regression coefficients, significance tests, and R-squared value.

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There are two scenarios in your question:

In this case, you can use each digit only once. There are 5 choices for the first digit, 4 choices for the second digit, 3 choices for the third digit, 2 choices for the fourth digit, and 1 choice for the last digit. So, the total number of 5-digit numbers that can be formed is 5 × 4 × 3 × 2 × 1 = 120.

In this case, you can use each digit as many times as you want. So, you have 5 choices for each of the 5 digits. the total number of 5-digit numbers that can be formed is 5 × 5 × 5 × 5 × 5 = 3,125.

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Answer:

16

Step-by-step explanation:

Answer:

£13.5.

Step-by-step explanation:

Let the share of Brendon, Asha and Julie is 3x, 2x and 6x respectively.

The total amount of money that Asha and Julie recieve is £36

i.e.

2x+6x = 36

8x = 36

x = (36/8)

Amount recieved by Brendon,

\(B=3\times \dfrac{36}{8}\\\\=\$13.5\)

So, the amount of money that brendon receives is £13.5.

Answer:

If the height is tripled and the area is 12 times larger, the base would be 8 times larger.

Step-by-step explanation:

Area of Triangle = 1/2(base × height)

If the area is 1 foot and the height is 1 foot, that means the base is 2 feet, since 1 = 1/2(2 × 1)

Now, if the height is tripled and the area is 12 times larger, then the base would have to be 8 feet, since 12 = 1/2(8 × 3)