According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.38. Suppose a random sample of 112 traffic fatalities in a certain region results in 52 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the a= 0.05 level of significance? Because npo (1-P) - 710, the sample size is 5% of the population size, and the sample the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? (Type integers or decimals. Do not round.) Find the test statistic, 20. Zo = (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Determine the conclusion for this hypothesis test. Choose the correct answer below. O A. Since P-value a, reject the null hypothesis and conclude that there is sufficient evidence that the region has a higher proportion of traffic fatalities involving a positive BAC than the country. O C. Since P-value > a, do not reject the null hypothesis and conclude that there is not sufficient evidence that the region has a higher proportion of traffic fatalities involving a positive BAC than the country. OD. Since P-value

Answer:

-8>x>6

Step-by-step explanation:

I 5x+5I +22> 57subtract 22 on both sides

I5x+5I >35

                                    SPLIT

5x+5>35                                              5x+5< -35 ( flip sign and 35 negative)

5x>30                                                   5x< -40

x>6                                                         x< -8

  Draw a number line Write  zero in the middle

From zero count  to the  left until- 8  make an open circle because- 8  is not included  From -8 draw  an arrow to the left (because x  is less than -8)  

From zero  count to the right until  6  Make an open circle bc 6     is not included.  From 6 draw an arrow to the right   (because x is more than 6)

PART 2 is not already solved?  

If you need to solve fot t

Divide both parts by pr

t= (l/ pr)                                      

The probability the mean age at heart attack after using cocaine is greater than 42 is 0.9192. Hence, the correct option is D. 0.9192.

The standard deviation of the age of people who suffered heart attacks soon after using cocaine was 10 years. In a random sample of size 49, what is the probability the mean age at heart attack after using cocaine is greater than 42?We are given the following details:

The mean age of people in the study who suffered heart attacks soon after using cocaine was only 44.

Standard deviation = 10

Sample size = 49

Now we need to find the z-score using the formula:

z = (x - μ) / (σ / √n)

wherez is the z-score

x is the value to be standardized

μ is the mean

σ is the standard deviation

n is the sample size.

Substitute the values in the formula as given,

z = (42 - 44) / (10 / √49)z = -2 / (10/7)

z = -1.4

Probability of z > -1.4 can be found using the standard normal distribution table or calculator.

P(z > -1.4) = 0.9192

Therefore, the probability the mean age at heart attack after using cocaine is greater than 42 is 0.9192. Hence, the correct option is D. 0.9192.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

Answer:

5x +35

Step-by-step explanation:

you woul use the distrubitive property

so multiply  by x and and 7

so it becomes 5x +35

Answer:

first blank= 1

second blank= -5

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

m=1

b=-5

y=1x-5

y=x-5

In the question given that :he​ reasoned, the probability of rolling a nine must be one eleventh but bob is wrong because the probability is 1/36 which is not equal to 1/11

From the question, we have the information available is:

Bob is asked to construct a probability model for rolling a pair of fair dice. He lists the outcomes as​ 2, 3,​ 4, 5,​ 6, 7,​ 8, 9,​ 10, 11, 12.

and, there are 11​ outcomes, he​ reasoned, the probability of rolling a nine must be one eleventh.

To write the what is wrong with  Bob's reasoning.

Now, According to the question:

In the probability:

He rolled 11 times:

So, we can represent the \(w_2\) is the outcome with the sum of pints in two die are 2.

Then the probability is:

\(P(w_2 = 2) = (\frac{1}{6} ).(\frac{1}{6} )=\frac{1}{36}\neq \frac{1}{11}\)

So, in the question given that :he​ reasoned, the probability of rolling a nine must be one eleventh but bob is wrong because the probability is 1/36 which is not equal to 1/11.

Learn more about Probability at:

https://brainly.com/question/30034780

#SPJ4

Answer:

-2.5

Step-by-step explanation:

-36= -12y+(-48)+(-12y)+(-48)

-36= (-24y)+(-96)

+96             +96

60= -24y

divide 60 by -24y and you get -2.5

Answer:

18,400m^2

Step-by-step explanation:

To evaluate the given integral, the most helpful substitution is x = 15 sec θ. The rewritten integral will be dx = 15 sec θ tan θ dθ / (225 + 225 sec² θ)².

In trigonometric substitution, we choose a substitution that simplifies the integral by transforming it into a form that can be easily evaluated using trigonometric identities. In this case, the most helpful substitution is x = 15 sec θ.

To rewrite the integral, we need to express dx in terms of θ. Since x = 15 sec θ, we can differentiate both sides with respect to θ to find dx. The derivative of sec θ is sec θ tan θ, so we have dx = 15 sec θ tan θ dθ.

Substituting this expression for dx and rewriting (225 + x²)² in terms of θ, we obtain:

∫(x² dx) / (225 + x²)² = ∫[(15 sec θ)² (15 sec θ tan θ dθ)] / (225 + (15 sec θ)²)².

Simplifying further, we get:

∫(225 sec² θ tan θ dθ) / (225 + 225 sec² θ)².

This is the rewritten form of the integral using the substitution x = 15 sec θ.

Learn more about trigonometric substitution here:

https://brainly.com/question/32150762

#SPJ11

Complete question :

Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store the soup for later, she'll pour it into ice cube molds where each cube has edges that are 7cm long. How many whole cubes can Sharon make?

Answer:

About 51 ice cubes

Step-by-step explanation:

Given the following :

Height (h) of cylindrical pot = 25

Diameter = 30cm

Edge of ice cube = 7cm long

Volume of cylinder (v) = πr^2h

V = π * (30/2)^2 * 25

V = π * 15^2 * 25

V = 17671.458cm^3

Therefore, the soup occupies 17673.75cm^3

Volume of cubes to store the soup for later:

The volume of a cube is given by the formula:

V = a^3

Where a is the length of it's edge

V = 7^3

V = 343cm^3

Number of cubes required to store soup:

(Volume of cylinder / Volume of ice cube)

17671.458cm^3 / 343cm^3

= 51.520287

This is about 51 whole cubes

Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

The surface area of the solid obtained by rotating of (18+) (18+) y - 1x1 < 2 about X-axis is: 2π (18+)

To determine the surface area of the solid obtained by rotating the region defined by y = (18+) (18+) and 1 ≤ x ≤ 2 about the X-axis, we can use the Surface Area of Revolution formula.

Here's a step-by-step explanation:
1. Identify the function: y = (18+) (18+)
2. Determine the interval: 1 ≤ x ≤ 2
3. Use the Surface Area of Revolution formula for rotating around the X-axis: S = 2π ∫[a,b] y * sqrt(1 + (dy/dx)^2) dx
4. Calculate the derivative of y with respect to x: dy/dx = 0 (since the function is a constant)
5. Substitute the function and its derivative into the Surface Area formula: S = 2π ∫[1,2] (18+) * sqrt(1 + 0^2) dx
6. Simplify the integrand: S = 2π ∫[1,2] (18+) dx
7. Integrate with respect to x: S = 2π [(18+)x] | (from 1 to 2)
8. Apply the limits of integration: S = 2π [(18+)(2) - (18+)(1)]
9. Simplify the expression: S = 2π (18+)

The surface area of the solid obtained by rotating the region about the X-axis is 2π (18+).

To know more about "Integrand" refer here:

https://brainly.com/question/29115420#

#SPJ11

A class BinaryTree. A class that implements the ADT binary tree using java programming is as follows:

import java.util.Iterator;

import java.util.NoSuchElementException;

import StackAndQueuePackage.*;

public class BinaryTree<T> implements BinaryTreeInterface<T> {

   private BinaryNode<T> root;

   public BinaryTree() {

       root = null;

   }

   public BinaryTree(T rootData) {

       root = new BinaryNode<>(rootData);

   }

  public BinaryTree(T rootData, BinaryTree<T> leftTree, BinaryTree<T> rightTree) {

       initializeTree(rootData, leftTree, rightTree);

   }

   public void setTree(T rootData, BinaryTree<T> leftTree, BinaryTree<T> rightTree) {

       initializeTree(rootData, leftTree, rightTree);

   }

   private void initializeTree(T rootData, BinaryTree<T> leftTree, BinaryTree<T> rightTree) {

       root = new BinaryNode<>(rootData);

       if (leftTree != null)

           root.setLeftChild(leftTree.root);

       if (rightTree != null)

           root.setRightChild(rightTree.root);

   }

   public T getRootData() {

       if (isEmpty())

           throw new NoSuchElementException();

       return root.getData();

   }

   public boolean isEmpty() {

       return root == null;

   }

   public void clear() {

       root = null;

   }

   protected void setRootData(T rootData) {

       root.setData(rootData);

   }

   protected void setRootNode(BinaryNode<T> rootNode) {

       root = rootNode;

   }

   protected BinaryNode<T> getRootNode() {

       return root;

   }

   public int getHeight() {

       return root.getHeight();

   }

   public int getNumberOfNodes() {

       return root.getNumberOfNodes();

   }

   public Iterator<T> getPreorderIterator() {

       return new PreorderIterator();

   }

   public Iterator<T> getInorderIterator() {

       return new InorderIterator();

   }

   public Iterator<T> getPostorderIterator() {

       return new PostorderIterator();

   }

   public Iterator<T> getLevelOrderIterator() {

       return new LevelOrderIterator();

   }

   private class PreorderIterator implements Iterator<T> {

       private StackInterface<BinaryNode<T>> nodeStack;

       public PreorderIterator() {

           nodeStack = new LinkedStack<>();

           if (root != null)

               nodeStack.push(root);

       }

       public boolean hasNext() {

           return !nodeStack.isEmpty();

       }

       public T next() {

           BinaryNode<T> nextNode;

           if (hasNext()) {

               nextNode = nodeStack.pop();

               BinaryNode<T> leftChild = nextNode.getLeftChild();

               BinaryNode<T> rightChild = nextNode.getRightChild();

               if (rightChild != null)

                   nodeStack.push(rightChild);

               if (leftChild != null)

                   nodeStack.push(leftChild);

           } else {

               throw new NoSuchElementException();

           }

           return nextNode.getData();

       }

   }

   private class InorderIterator implements Iterator<T> {

       private StackInterface<BinaryNode<T>> nodeStack;

       private BinaryNode<T> currentNode;

       public InorderIterator() {

           nodeStack = new LinkedStack<>();

           currentNode = root;

       }

       public boolean hasNext() {

           return !nodeStack.isEmpty() || currentNode != null;

       }

       public T next() {

           BinaryNode<T> nextNode = null;

           while (currentNode != null) {

               nodeStack.push(currentNode);

               currentNode = currentNode.getLeftChild();

           }

           if (!nodeStack.isEmpty()) {

               nextNode = nodeStack.pop();

               currentNode = nextNode.getRightChild();

           } else {

               throw

Read more about Binary class at: https://brainly.com/question/22212334

#SPJ4

Answer:

1&3

1&4

2&3

2&4

are all supplementary angles

Answer:

The answer is:

1&3

1&4

2&3

2&4

Step-by-step explanation: did it on edge 2022.

Answer:

R= - 95/7

Step-by-step explanation:

{(5, 2), (4, 2), (3, 2), (2, 2), (1, 2)}, {(−8, −3), (−6, −5), (−4, −2), (−2, −7), (−1, −4)} and {(−6, 4), (−3, −1), (0, 5), (1, −1), (2, 3)} are the sets of ordered pairs considered as a function.

{(−4, −2), (−1, −1), (3, 2), (3, 5), (7, 10)} is not a function.

In mathematics, ordered pair is a pair of numbers that are written in a specific order. They are generally written in (x, y) form. For example (3, 5) is an ordered pair.

The function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have the same value of x coordinate.

Option (a) : {(5, 2),(4, 2),(3, 2),(2, 2),(1, 2)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (b) : {(-4, -2),(-1, -1),(3, 2),(3, 5),(7, 10)}

Two ordered pairs have the same value of x coordinate (3, 2) and (3, 5).

So, it can not be considered a function.

Option (c) : {(-8, -3),(-6, -5),(-4, -2),(-2, -7),(-1, -4)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (d) : {(-6, 4),(-3, -1),(0, 5),(1, -1),(2, 3)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Therefore, Options (a), (c), and (d) are the functions.

Option (b) is not a function.

For more questions on ordered pairs as function

https://brainly.com/question/11267211

#SPJ4

Answer:

blank one: -1 blank two: -15

Step-by-step explanation:

I'm not sure but I think its correct

Answer:

The interval [25, 35] has the slowest average rate of decay.

Step-by-step explanation:

The number of grams in a sample of radium is represented by the function \(r(t) = 50\cdot e^{-0.013\cdot t}\), which is a monotonous decreasing function. Hence, the greater the values of \(t\), the slowest the average rate of decay, represented by a secant line. The interval [25, 35] has the slowest average rate of decay.

Answer:

B. ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since  ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6

Step-by-step explanation:

The given parameters are;

= 5

= 10

=  +  = 15

= x - 3

= x + 1

A two column proof is presented as follows;

Statement          Reason

∠L ≅ ∠L             By Reflexive property of congruency

║           Given

∠LOP ≅ ∠LMN   By the Corresponding angles Postulate

Therefore

ΔLOP ~ ΔLMN   By AA similarity Postulate

Where we have that ΔLOP and ΔLMN, we get;

/  = / = 5/15 = 1/3

∴ (x - 3)/(x + 1) = 1/3

3·(x - 3) = 1·(x + 1)

3·x - 9 = x + 1

3·x - x = 1 + 9 = 10

2·x = 10

x = 10/2 = 5

x = 5

= (x - 3) = 5 - 3 = 2

= 2

= x + 1 = 5 + 1 = 6

=  6

Therefore, the correct option is ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since  ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.

/TO/ and /US/ are parallel so the angles at TOS (©)and the external angle at OSU (©) are equal ( Z angles) therefore the internal angle at OSU will be 180 - © similarly the angle at POT is also 180 - ©

Answer:

18 x 6 = 108 so 108

Step-by-step explanation:

Answer:

Step-by-step explanation:

For the first question the answer is 50(0.2 + 1)^2 = 72

For the second question it is y = 32

Step-by-step explanation:

In case you need to see how i got it...it's below

For number 1, y is proportional to (x + 1)^2

The equation would be y(x +1)^2 = k(the constant). Then I substituted numbers you gave me in the equation which was : 50(0.2 + 1)^2 = k(72)

For number 2 I used this equation: y (x + 1)^2 = 72. I substituted x for 0.5. The equation will be: y(0.5 + 1)^2 = 72. Then I got 32 for y.

Hope this helps:) i am the best lil kissman

Answer:

x-int: B.

y-int: C.

Step-by-step explanation:

The x-intercepts are when the line crosses at the x-axis when y=0

The y-intercepts are when the line crosses at the y-axis when x=0

(1) The length of side BC is 9 cm.

(2) The length of side PQ is 5.385 m.

(3) The length of side UW is 6.71 mm.

(4) The length of side XZ is 14.32 mm.

(5) The length of side EF is  6 cm.

The missing lengths of the right triangle is calculated by applying the Pythagoras theorem formula.

(1) The length of side BC is calculated as;

BC = √ (15² - 12² )

BC = 9 cm

(2) The length of side PQ is calculated as;

PQ = √ (5² + 2² )

PQ = 5.385 m

(3) The length of side UW is calculated as;

UW = √ (9² - 6² )

UW = 6.71 mm

(4) The length of side XZ is calculated as;

XZ = √ (14² + 3² )

XZ = 14.32 mm

(5) The length of side EF is calculated as;

EF = √ (10² - 8² )

EF = 6 cm

Learn more about lengths of right triangles here: https://brainly.com/question/30413094

#SPJ1

Answer:

-4

Step-by-step explanation:

divide -24 by 6

x= -4

Answer:

x= -4

Step-by-step explanation:

6x = -24

transpose

x= -24/6

x= -4

The series ∑(from n = 2 to infinity) 1/n^(1/n^a) converges only when "a" is greater than 1.

To determine the values of "a" for which the series ∑(from n = 2 to infinity) 1/n^(1/n^a) converges, apply the limit comparison test with the harmonic series.

Let's consider the harmonic series ∑(from n = 1 to infinity) 1/n, which is a well-known divergent series.

compare the given series with the harmonic series by taking the limit as n approaches infinity of the ratio of the nth term of the given series to the nth term of the harmonic series:

lim(n→∞) [1/n^(1/n^a)] / [1/n]

To simplify the expression, rewrite the ratio as follows:

lim(n→∞) n / n^(1/n^a)

Now, let's consider the exponent in the denominator, which is 1/n^a. As n approaches infinity, the exponent approaches zero since 1/n^a will become very large and tend to infinity.

Therefore, we have:

lim(n→∞) n / n^(1/n^a) = lim(n→∞) n / n^0 = lim(n→∞) n / 1 = ∞

Since the limit of the ratio is infinity, it means that the given series behaves similarly to the harmonic series. Therefore, if the harmonic series diverges, the given series will also diverge.

The harmonic series diverges when the exponent "a" is equal to or less than 1.

Hence, the series ∑(from n = 2 to infinity) 1/n^(1/n^a) converges only when "a" is greater than 1.

Learn more about harmonic series here:

https://brainly.com/question/32338941

#SPJ11

Margin of error = 1.96 * 0.038 = 0.0745 ≈ 0.075 (to 3 decimal places)

a) To calculate the margin of error for the first high school student, we can use the formula:

Margin of error = z* (standard error)

where z* is the critical value of the standard normal distribution corresponding to the desired level of confidence, and the standard error is given by:

standard error = sqrt[(p-hat * (1-p-hat))/n]

where p-hat is the sample proportion, and n is the sample size.

Given that the sample size is n=178, and the sample proportion is p-hat = 0.69, the standard error is:

standard error = sqrt[(0.69*0.31)/178] = 0.042

To find the critical value z* for a 95% confidence interval, we can look up the value in the standard normal table. Since we want a two-tailed confidence interval, we need to divide the level of significance (1 - 0.95 = 0.05) by 2, resulting in an alpha level of 0.025. Looking up the corresponding z-score, we find:

z* = 1.96

Therefore, the margin of error for the first high school student is:

Margin of error = 1.96 * 0.042 = 0.0828 ≈ 0.083 (to 3 decimal places)

b) To calculate the margin of error for the second high school student, we can follow the same procedure as above, using the sample size n=178 and the sample proportion p-hat = 0.83. The standard error is:

standard error = sqrt[(0.83*0.17)/178] = 0.038

The critical value z* for a 95% confidence interval is still 1.96, so the margin of error is:

Margin of error = 1.96 * 0.038 = 0.0745 ≈ 0.075 (to 3 decimal places)

To know more about Margin Error refer here:

https://brainly.com/question/29419047

#SPJ11

Answer:

6/36  

Step-by-step explanation:

Trust me I got it right on Khan academy :)

Answer:

6/36

Step-by-step explanation:

I got it right too on khan academy

The linear optimization technique for allocating constrained resources among different products is linear programming.

In mathematics, linear programming is a technique for maximizing actions under certain restrictions. Maximize or minimize the numerical value is the main goal of linear programming. It is made up of linear functions that are subject to restrictions in the form of inequalities or linear equations.

A mathematical model whose requirements are expressed by linear connections can be optimized using a technique known as linear programming. A particular type of mathematical programming is linear programming.

Learn more about linear programming here

https://brainly.com/question/24038519

#SPJ4

Answer:

From A you go down to E, then to the right to F, down to J, to the right to K, up to G, up to C, right to D, down to H, and then the escape box dsvfhwvhvwhr,vhf

Answer:

Step-by-step explanation:

Step one:

given data

diameter= 10ft

radius = 10/2= 5ft

height = 11ft

Step two:

Required

the volume of the cylinder

The expression for the volume of the cylinder is

v= πr^2h

substituting our given data

v= 3.142*5^2*11

v=3.142*25*11

v=864.05ft^2

The probability of passing a 10-question multiple-choice quiz by random guessing is about 2.4%.

A quiz consists of 10 multiple-choice questions, each with 6 possible answers. for someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 50 %.

The probability of a random guess being correct for a single multiple-choice question with 6 options is 1/6, or approximately 0.17.

To find the probability of passing the quiz with a minimum passing grade of 50%, we need to calculate the probability of getting 5 or more correct answers out of 10.

This can be calculated as the sum of the probabilities of getting exactly 5, 6, 7, 8, 9, or 10 correct answers:

P(pass) = P(5) + P(6) + P(7) + P(8) + P(9) + P(10)

where P(x) is the probability of getting exactly x correct answers.

This can be calculated using the binomial distribution and its cumulative distribution function (CDF). The result is approximately 0.024, or 2.4%.

Learn more about probability at:

https://brainly.com/question/25870256

#SPJ1