4. Plans to vote
“yes” on issue Q
Plans to vote
“no” on issue Q Total
Plans to vote
“yes” on issue P 8 12 20
Plans to vote
“no” on issue P 14 16 30
Total 22 28 50
The table above shows a survey of 50 registered voters
in a city. Each voter was asked whether they planned to
vote “yes” or “no” on two different issues. If a voter who
plans to vote “yes” on issue P is randomly selected, what
is the probability that voter also plans to vote “yes” on
issue Q

Answer:

6pulgadas  

Step-by-step explanation:

Answer: 7.0%

Step-by-step explanation:

The probability of rolling a sum of 14 is 7.0% because 15/216 = 7.0%

The probability of rolling a sum of 14 is  \(\frac{1}{72}\)    or  0.014.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Formula of probability

Probability(Event) = \(\frac{Favorable Outcomes}{Total Outcomes}\)  

According to the question

rolling a sum of 14

As the maximum sum of two dice is 6+6 = 12

Therefore ,

we will take 3 dices

Now ,

As each dice have 6 different digits and can be repeated

i.e

Total outcomes = 6 * 6 * 6 = 216  

Favorable outcome :

(6,6,2) or (2,6,6) or (6,2,6) = 3 ways

Now,

By using the formula of probability

Probability(Event) = \(\frac{Favorable Outcomes}{Total Outcomes}\)  

Substituting the value in the formula

Probability(Event) = \(\frac{3}{216}\)

Probability(Event) = \(\frac{1}{72}\)    or  0.014

Hence, the probability of rolling a sum of 14 is  \(\frac{1}{72}\)    or  0.014

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Answer:

12

Step-by-step explanation:

In this problem the statement that the mean is greater than the median is true. So, the correct answer is option(a).

We have a histogram which shows the distribution of the annual hours of commuting delay per traveler for 46 small, medium and urban areas, fewer than one million in population. See the diagram carefully and try to draw the conclusion. The shape of the histogram showing that positive skewed or right skewed distribution since Curve increases fastly and decreases slowly. A positive skewed distribution is a type of distribution where most of the values are concentrated in the left tail of the distribution and the right tail of the distribution is longer. In positive skewed distribution,

i) Mean > Median

ii) (Q₃ - Q₂) > (Q₂ - Q₁)

iii) Sqrt(β₁) >0

Hence, The mean is greater than the median is true.

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To find the value of (f o g)' at a given value, you first need to understand the concept of composite functions and the chain rule of differentiation. Let's break it down step by step.

To find the value of (f o g)' at a given value, you need to evaluate g(x) and f(x), find their derivatives, and use the chain rule to find the derivative of (f o g) at the given value. It is important to understand the concepts of composite functions and the chain rule to be able to solve problems involving these concepts.

What are composite functions? Composite functions are functions that are formed by composing two or more functions. The notation used to denote composite functions is (f o g)(x), which means that the output of function g is used as the input for function f. In other words, we first evaluate g(x), and then use the result as the input for f(x).

What is the chain rule of differentiation? The chain rule of differentiation is a method used to find the derivative of composite functions. It states that if a function is composed of two or more functions, then its derivative can be found by taking the derivative of the outer function and multiplying it by the derivative of the inner function.

To find the value of (f o g)' at a given value, we need to follow these steps:1. Find g(x) and f(x)2. Find g'(x) and f'(x)3. Evaluate g(x) at the given value4. Use the chain rule to find (f o g)' at the given value

step 1: Find g(x) and f(x)Let's say that we have two functions: g(x) = x^2 + 3x + 1 and f(x) = sqrt(x). To find (f o g)(x), we first need to evaluate g(x) and then use the result as the input for f(x). Therefore, (f o g)(x) = f(g(x)) = sqrt(x^2 + 3x + 1)

Step 2: Find g'(x) and f'(x)To find g'(x), we need to take the derivative of g(x) using the power rule and the sum rule. Therefore, g'(x) = 2x + 3To find f'(x), we need to take the derivative of f(x) using the power rule and the chain rule. Therefore, f'(x) = 1/2(x)^(-1/2)

Step 3: Evaluate g(x) at the given valueSuppose we want to find (f o g)' at x = 2. To do this, we need to first evaluate g(x) at x = 2. Therefore, g(2) = 2^2 + 3(2) + 1 = 11

Step 4: Use the chain rule to find (f o g)' at the given value now we can use the chain rule to find (f o g)' at x = 2. Therefore, (f o g)'(2) = f'(g(2)) * g'(2) = 1/2(11)^(-1/2) * (2)(3) = 3/sqrt(11)

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Answer:

The center of this distribution is called the mean, and the measure of the dispersion of this random variable is called the standard deviation.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In a normal distribution,

We have two measures, the mean(center), and standard deviation(dispersion). So

The center of this distribution is called the mean, and the measure of the dispersion of this random variable is called the standard deviation.

9514 1404 393

Answer:

  a) 2.038 seconds

  b) 5.918 meters

  c) 1.076 seconds

Step-by-step explanation:

For the purpose of answering these questions, it is convenient to put the given equation into vertex form.

  h = -4.9t² +9.2t +1.6

  = -4.9(t² -(9.2/4.9)t) +1.6

  = -4.9(t² -(9.2/4.9)t +(4.6/4.9)²) +1.6 +4.9(4.6/4.9)²

  = -4.9(t -46/49)² +290/49

__

a) To find h = 0, we solve ...

  0 = -4.9(t -46/49)² +290/49

  290/240.1 = (t -46/49)² . . . . subtract 290/49 and divide by -4.9

  √(2900/2401) +46/49 = t ≈ 2.0378 . . . . seconds

The ball takes about 2.038 seconds to fall to the ground.

__

b) The maximum height is the h value at the vertex of the function. It is the value of h when the squared term is zero:

  290/49 m ≈ 5.918 m

The maximum height of the ball is about 5.918 m.

__

c) We want to find t for h ≥ 4.5.

  h ≥ 4.5

  -4.9(t -46/49)² +290/49 ≥ 4.5

Subtracting 290/49 and dividing by -4.9, we have ...

  (t -46/49)² ≥ 695/2401

Taking the square root, and adding 46/49, we find the time interval to be ...

  -√(695/2401) +46/49 ≤ t ≤ √(695/2401) +46/49

The difference between the interval end points is the time above 4.5 meters. That difference is ...

  2√(695/2401) ≈ 1.076 . . . . seconds

The ball is at or above 4.5 meters for about 1.076 seconds.

__

I like a graphing calculator for its ability to answer these questions quickly and easily. The essentials for answering this question involve typing a couple of equations and highlighting a few points on the graph.

_____

Additional comment

I have a preference for "exact" answers where possible, so have used fractions, rather than their rounded decimal equivalents. The calculator I use deals with these fairly nicely. Unfortunately, the mess of numbers can tend to obscure the working.

"Vertex form" for a quadratic is ...

  y = a(x -h)² +k . . . .  where the vertex is (h, k) and 'a' is a vertical scale factor.

In the above, we have 'a' = -4.9, and (h, k) = (46/49, 290/49) ≈ (0.939, 5.918)

answer:

23 is prime because it can only be divided by 1 and itself.

Answer: 23

Step-by-step explanation:

No two number can multiply into 23 besides 23 times 1

The biconditional statement for the given conditional statement would be:

2x = 18 if and only if x = 9.

The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".

To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.

If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.

Based on this, we can write the biconditional statement:

2x = 18 if and only if x = 9.

The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.

In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.

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Answer:

B $12.69

Step-by-step explanation:

Divide 84.63 by 100 to get 1% of the bill and then multiply the answer by 15 for 15% and round it:

\($\frac{84.63}{100} \times 15 = 12.6945$\)

The closest answer would be B $12.69.

The standard error for the sample mean exists

\($P(\bar{X} < 0.95)=0.0418=4.18 \%$$\).

Let the value of mean be \($P(\bar{X} < 0.95)$$\)

Normal Distribution, \($\mu=1, \sigma=0.1, n=12$\)

\($P(\bar{X} < 0.95)=$\) Area to the left of 0.95

we convert this to standard normal using

\($z=\frac{\bar{x}-\mu_{\bar{x}}}{\sigma_{\bar{x}}}=\frac{\bar{x}-\mu}{\sigma / \sqrt{n}}$\)

\($z=\frac{0.95-(1)}{0.1 / \sqrt{12}} \approx-1.732051 \approx-1.73$\)

\($P(\bar{X}\) < 0.95) = P(Z < -1.73) = 0.0418 (from z-table)

P(Z < -1.73); in a z-table having area to the left of z, locate -1.7 in the left most column. Move across the row to the right under column 0.03 and get value 0.0418.

\($P(\bar{X} < 0.95)=0.0418=4.18 \%$$\)

Therefore, the standard error for the sample mean exists

\($P(\bar{X} < 0.95)=0.0418=4.18 \%$$\).

The complete question is;

What is the probability that the sample mean will be below 0.95 centimeters?

At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter. A random sample of 12 computer chips is taken.

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Step-by-step explanation:

answer is one and half

99.73 % of the points on a process control chart to fall within the UCL and LCL.

Given that,

We have to find the percentage of the points on a control chart to fall within UCL and the LCL.

We know that,

Calculating the sample data's standard deviation,. Adding three times to that sum. For the UCL, add (3 x to the average) and for the LCL, deduct (3 x from the average).

In control chart , control limits UCL and LCL are three standard deviations either side of the mean , so 99.73% of points are within the UCL and LCL.

Therefore, 99.73 % of the points on a process control chart to fall within the UCL and LCL.

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The probability that the next ice cream cone sold is a chocolate chip ice cream cone is \(\frac{52}{997}\) .

What is probability?

The probability of an event is calculated using the concept of probability. It is solely useful for determining how likely an event is to occur. A scale from 0 to 1, with 0 signifying impossibility and 1 signifying a particular occurrence.

We are given that last week the shop sold 52 chocolate chip ice cream cones out of the total of 997 ice cream cones.

So, from this we get the probability as \(\frac{52}{997}\)  as it is the ratio of chocolate chip ice creams to the total ice cream cones.

Hence, the probability that the next ice cream cone sold is a chocolate chip ice cream cone is \(\frac{52}{997}\) .

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Answer:

2.25 feet

Step-by-step explanation:

The length of the remaining piece of board will be 2 feet 3 inches.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

It is given that Donny had a 10-foot board. He used the board to make two shelves. One shelf measured 4 feet 7 inches wide and the other shelf measured 3 feet 2 inches wide.

The length of the remaining part is calculated as below:-

10 foot = 10 x 12 = 120 inches

4 feet 7 inches = (4 x 12) + 7 = 48 + 7 = 55 inches

3 feet 2 inches = ( 3 x 12 ) +2 = 36 + 2 = 38 inches

Remaining length = 120 - 55 - 38 = 27 inches

                             = 24 + 3 = 2 feet 3 inches.

Therefore, the length of the remaining piece of board will be 2 feet 3 inches.

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A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.

Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.

Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.

Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of

To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).

First, let's convert the fractions 1/5 and 2/3 to fifteenths:

\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)

\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)

Now we can rewrite the expression using the common denominator:

\(3 + \frac{3}{15}+\frac{10}{15}\)

By using the substitution method, the value of x is equal to -1 and the value of y is equal to 1.

In order to solve the given system of equations, we would apply the substitution method. From the information provided in the image attached above, we have the following system of equations:

2x - 3y = -5      .......equation 1.

3x + y = -2          .......equation 2.

From equation 2, we have:

y = -3x - 2

By using the substitution method to substitute equation 3 into equation 1, we have the following:

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

2x + 9x + 6 = -5

11x = -5 - 6

x = -11/11

x = -1

For the value of y, we have:

y = -3x - 2

y = -3(-1) - 2

y = 1.

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Answer:

Not sure what you mean here, is this a table? If so, you need to provide the y value or a screenshot!

Answer:

24.6° (nearest tenth) .

Answer:

$4.37 is a possibility to the answer

Answer:

they ate 6 pizza

Step-by-step explanation:

༼ つ ◕‿◕ ༽つ

Answer:

14

Step-by-step explanation:

It's a probability, divide favorable outcomes to total outcomes

Answer:

14%

Step-by-step explanation:

There are 7 sections of equal size.

The total number of possible outcomes is 7.

There is one single outcome that is desired, landing on 7.

probability of an event = (number of desired outcomes)/(total number of possible outcomes)

p(7) = 1/7 = 0.142857... = 14%

Answer: 14%

Answer:.

Step-by-step explanation:.

Answer:

24°

Step-by-step explanation:

For an n-sided regular polygon, the sum of internal angles = (n-2)×180°

Since all internal angles are equal, the internal angle can is given as:

Here, it is given that the polygon has 15 sides.

So n = 15

So each internal angle is 156°.

Internal and external angles are always supplementary. So the sum of the internal and external angles is 180°.

So external angle = 180° - 156° = 24°.

The measure of each external angle is 24°.

Answer:

Type I error: Reject the claim that the proportion of settled malpractice suits is 0.18 when the proportion is actually 0.18.

Type II error: Fail to reject the claim that the proportion of settled malpractice suits is 0.18 when the proportion is actually different from 0.18.

Step-by-step explanation:

We are given the following hypothesis below;

Let p = proportion of people who write with their left hand

Null Hypothesis, \(H_0\) : p = 0.18      {means that the proportion of people who write with their left hand is equal to 0.18}

Alternate Hypothesis, \(H_A\) : p \(\neq\) 0.18      {means that the proportion of people who write with their left hand is different from 0.18}

Type I error states that we would reject the null hypothesis given the fact that the null hypothesis was actually true. Or in other words, the probability of rejecting a true hypothesis.

So, according to our question, Type I error is to Reject the claim that the proportion of settled malpractice suits is 0.18 when the proportion is actually 0.18.

Type II error states that we would accept the null hypothesis given the fact that the null hypothesis was actually false. Or in other words, the probability of accepting a false hypothesis.

So, according to our question, Type II error is Fail to reject the claim that the proportion of settled malpractice suits is 0.18 when the proportion is actually different from 0.18.

Answer:

f(1) = 1

Step-by-step explanation:

To go 1 on the x-axis and check to see where it is on the y-axis. In this case, when x = 1, y = 1.

Therefore, f(1) = 1.

The correct answer is C. Exponential growth. As the function given f(x) = ½ • (5)ª is in exponential form, its range f(x) will increase for any input x.

The given function is defined as;

f(x) = ½ • (5)ª

As, the function is written in the exponent form or power form , its is said to be exponential function.

Now, for any increasing value of x, the value of function will also increase but with increasing difference.

Thus, the function is termed as the exponential growth function.

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Answer:

7,000

Step-by-step explanation:

Rounding rules.

4 and below, round down.

5 and above, round up.

We are looking at the hundreds place in particular. Since it is a "4" we are going to round down.

7,412 -> 7,000

Best of Luck!

Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

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We know that TV = TU + UV. Let's plug the values from the picture into our equation.

x + 25 = 9 + 2x + 28.

Let's combine like terms on the right side.

x + 25 = 2x + 37

Subtract 37 and x from both sides.

-12 = x

TV = x + 25 = -12 + 25 = 13

UV = 2x + 28 = 2(-12) + 28 = -24 + 28 = 4

Answer:

.

Step-by-step explanation:

Answer:

B

Hope this helps!

explanation:

we solve the inequality and to do that we must first subtract 12 from both sides, which gets us -x<-4, then we divide both sides by -1, which gives us x>4, since we have to flip the sign when we divide by a negative. when we graph this, there will be a circle around 4 and the arrow pointing to the right, since it's greater than.

After solving the equations, we know that a total of 25 ladies attended the party.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, take dudes as x and ladies as y.

Now, form the required 2 equations as follows:
2x + y = 45 ...(1)

x + y = 35 ...(2)

Work on equation (2):

x + y = 35

x = 35 - y

Now, substitute x = 35 - y in equation (1):

2x + y = 45

2(35-y) + y = 45

70 - 2y + y = 45

-y = -25

y = 25

Since ladies were charged $1 for each ticket, then 25 ladies attended the party.

Therefore, after solving the equations, we know that a total of 25 ladies attended the party.

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