The accompanying table describes probabilities for the California Daily 4 lottery. The player selects four digits with repetition allowed, and the random variable x is the number of digits that match those in the same order that they are drawn (for a "straight bet). Use the range rule of thumb to determine whether 4 matches is a significantly high number of matches. Select the correct choice below and, if necessary, fill in the answer box within your choice or less. Since 4 is greater than this value, 4 matches is not a significantly high number of matches or more. Since 4 is at least as high as this value, 4 matches is a significantly high number of matches OA. Significantly high numbers of matches are (Round to one decimal place as needed.) OB. Significantly high numbers of matches are (Round to one decimal place as needed.) OC. Significantly high numbers of matches are (Round to one decimal place as needed.) OD. Significantly high numbers of matches are (Round to one decimal place as needed.) OE. Not enough information is given. or more. Since 4 is less than this value, 4 matches is not a significantly high number of matches or less. Since 4 is at least as low as this value, 4 matches is a significantly high number of matches. 1 I-lalalalal 1

Answer:

Sides of the triangular birdcage are 37 cm, 38 cm, 39 cm.

Step-by-step explanation:

In the given triangular birdcage, sides of the triangle are consecutive integers.

Let sides of the triangle are x, (x + 1), (x + 2) cm.

Perimeter of a triangle = Sum of all sides of the given triangle

114 = x + (x + 1) + (x + 2)

114 = 3x + 3

3x = 111

x = \(\frac{111}{3}\)

x = 37

Therefore, sides of the triangular birdcage are 37 cm, 38 cm, 39 cm.

We can actually deduce here that the type of measurement scale that is used for operating system is: Nominal scale.

A nominal scale is actually known to be a measurement scale whereby numbers are used as “tags” or “labels” only in order to identify, locate or classify an object.

This measurement scale actually deals only with non-numeric variables. It can be used where numbers have no value.

Other measurement scales include:

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Answer: 100 dollars before passengers. 25 is the price per person. 225 for 5 people to fly

Step-by-step explanation:

Evaluating all the information thats provided the measure of the angle CEB in the rectangle which is equal to m is 50°.

The parameteres that are given here are:

AB = 6 feet, AD = 2 feet,

Angle DAE = 65°

Our aim to to find the angle CEB which is M, to find that we need to start with measuring the angle EAB.

Therefore the angles at the right angle are:

∠EAB = 90°-∠DAE

We have the information:

∠EAB = 90°- 65°

∠EAB = 25°

The measure of the angle CEB is calulcated by using the formula:

∠CEB= 2 ×∠EAB

After substituting ∠EAB = 25° We get:

∠CEB=2×25

∠CEB=50°

And hence the ∠CEB = M is 50°.

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The amount that remains after the attorney's fee and immediate expenses is $1.2 million / 3 = $400,000. This is the amount that will be used to set up the annuity. To calculate the annuity payments, we need to use the formula for the future value of an annuity:

FV = PMT x [(1 + r)^n - 1] / r

Where FV is the future value, PMT is the payment amount, r is the interest rate per period, and n is the number of periods.

In this case, we want to solve for PMT, so we rearrange the formula:

PMT = FV x r / [(1 + r)^n - 1]

Plugging in the values we have:

FV = $400,000
r = 0.019 (7.6% annual rate divided by 4 quarters)
n = 20 (5 years x 4 quarters per year)

PMT = $400,000 x 0.019 / [(1 + 0.019)^20 - 1] = $11,207.88

Therefore, the annuity will pay $11,207.88 at the beginning of each quarter for the next 5 years.

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The equation of a polynomial function, R, with rational coefficients will be;

P (x) = x² - (3i + √5 + 4)x + (12 + 3√5) i

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The zeroes of the polynomial function are;

⇒ 4 + √5 and 3i

Now,

Since, The zeroes of the polynomial function are;

⇒ 4 + √5 and 3i

So, The factor of the polynomial function are;

(x - (4 + √5)) and (x - 3i)

Hence, We can formulate the polynomial function as;

P (x) = (x - (4 + √5)) (x - 3i)

       = (x - 4 - √5) (x - 3i)

       = x² - 3ix - 4x + 12i - √5x + 3√5i

       = x² - (3i + √5 + 4)x + (12 + 3√5) i

Thus, The equation of a polynomial function, R, with rational coefficients will be;

P (x) = x² - (3i + √5 + 4)x + (12 + 3√5) i

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Answer:

x−y+4=8

4x−5+y=0

7x+y=0

OR

6x−3y=12

6x+2y=8

x+6y=5

Step-by-step explanation:

honestly idrk what the question is here but there are some examples as if on a table! Hope this helped!!

Answer:

3:8

Step-by-step explanation:

15:40

Work out the same by simplifying which they both go in 5

then doing that you can get 3/8 Or 3:8.

Hope it helps!


Spanish:

Resuelve lo mismo simplificando lo que ambos van en 5

luego haciendo eso puedes obtener 3/8 o 3: 8.

Answer:

monthly cost with 20 slices:

5 + (1.75 x 20)

5+35

40

monthly cost with x slices:

1.75x + 5

Hope this helps!

The three-point technique, also known as the three-point estimation or the PERT (Program Evaluation and Review Technique), is a project management tool used to estimate the duration or effort required for completing a task or project.

It involves estimating three values for a specific task - the optimistic estimate (O), the most likely estimate (M), and the pessimistic estimate (P).

These   three estimates are thenused to calculate the expected estimate (E) using the formula: E = (O + 4M + P) / 6.

The three-point technique   is important because it provides a more realistic andreliable estimate by considering both best-case and worst-case scenarios, leading to better planning and decision-making in project management.

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We need to remember that the area of a figure is given in square units. We have these small squares indicating that each of them is equivalent to 1 square centimeter.

Then, we have 5 square centimeters on one side, and then 3 square centimeters on the other side. Then, we need to put:

5 cm x 3 cm = 15 cm^2

Answer:

x = 65.38°

using cosine rule:

Answer:

x > 7

Step-by-step explanation:

Let x be the unknown number

x+3 > 10

Subtract 3 from each side

x+3-3 > 10-3

x > 7

\(\huge\textsf{Hey there!}\)

\(\large\textsf{\underline{The sum of a number and 3 is greater than 10.}}\)

\(\large\textsf{Well, the word sum simply means add. The word number}\\\large\textsf{ is unknown so we will label it as x.}\)

\(\large\textsf{We will make this your equation: x + 3 } \mathsf{ > } \large\textsf{ 10}\)

\(\large\textsf{Now lets solve for your answer.}\downarrow\)

\(\large\textsf{x + 3 }\mathsf{>}\large\textsf{ 10}\)

\(\large\textsf{SUBTRACT 3 to BOTH SIDES}\)

\(\large\textsf{x + 3 - 3 } \mathsf{>} \large\textsf{ 10 - 3}\)

\(\large\textsf{CANCEL out: 3 - 3 because that gives you 0}\)

\(\large\textsf{KEEP: 10 - 3 because that helps what is being compared to the x-value}\)

\(\large\textsf{x } \mathsf{>} \large\textsf{ 10 - 3}\)

\(\large\textsf{10 - 3 = \bf 7}\)

\(\large\textsf{\bf x } \mathsf{\bf >\ } \large\textsf{ \bf 7}\)

\(\boxed{\boxed{\large\textsf{Therefore, your answer is: \bf x}>\textsf{\bf 7}\huge\textsf{ (Option B.)}}}\huge\checkmark\)

\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The correct answer is a. the average distance between M and µ that would be expected if H0 was true.

The denominator of the z-score test statistic measures the average distance between the sample mean (M) and the population mean (µ) that would be expected if the null hypothesis (H0) was true.

Option a. "the average distance between M and µ that would be expected if H0 was true" is the correct description of what is measured by the denominator of the z-score test statistic. It represents the standard error, which is a measure of the variability or dispersion of the sample mean around the population mean under the assumption of the null hypothesis being true.

Option b. "the actual distance between M and µ" is not accurate because the actual distance between M and µ is not directly measured by the denominator of the z-score test statistic.

Option c. "the position of the sample mean relative to the critical region" is not accurate because the position of the sample mean relative to the critical region is determined by the numerator of the z-score test statistic, which represents the difference between the sample mean and the hypothesized population mean.

Option d. "whether or not there is a significant difference between M and µ" is not accurate because the determination of a significant difference is based on comparing the calculated test statistic (z-score) to critical values, which involve both the numerator and the denominator of the z-score test statistic.

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P(3 to 7) = P(3) + P(4) + P(5) + P(6) + P(7).To solve the given probabilities, we can use the binomial probability formula:

P(x) = C(n, x) * p^x * (1 - p)^(n - x)

Where:

- P(x) is the probability of exactly x successes

- C(n, x) is the number of combinations of n items taken x at a time

- p is the probability of success for each trial

- n is the number of trials

Given that 8% (0.08) of all Americans live in poverty, and we are selecting 36 Americans randomly, we can calculate the following probabilities:

a) Probability that exactly 1 of them live in poverty:

P(1) = C(36, 1) * (0.08)^1 * (1 - 0.08)^(36 - 1)

b) Probability that at most 2 of them live in poverty:

P(at most 2) = P(0) + P(1) + P(2)

             = C(36, 0) * (0.08)^0 * (1 - 0.08)^(36 - 0) + C(36, 1) * (0.08)^1 * (1 - 0.08)^(36 - 1) + C(36, 2) * (0.08)^2 * (1 - 0.08)^(36 - 2)

c) Probability that at least 1 of them live in poverty:

P(at least 1) = 1 - P(0)

d) Probability that between 3 and 7 (including 3 and 7) of them live in poverty:

P(3 to 7) = P(3) + P(4) + P(5) + P(6) + P(7)

Using the formula and the provided values, we can calculate these probabilities.

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on using  disjunctive syllogism to derive Q from the second premise and the derived value of A. if P is true, then Q must also be true..

In logic, a compound statement is made up of two or more simple statements, known as premises or assumptions, that are combined using logical operators such as "and," "or," and "not." To prove a compound statement, we use rules of inference to derive a conclusion based on the given premises.

In the first proof question, we are given three premises: P, P or R, and not S or A. We need to prove the statement Q using these premises. To do so, we use the disjunctive syllogism rule, which states that if one of two disjunctive statements is false, then the other must be true. By assuming ~P, we derive ~S from the third premise using the rule of disjunction. Then, using modus ponens, we derive A from the assumption of ~P and the third premise. Finally, we use disjunctive syllogism to derive Q from the second premise and the derived value of A.

In the second proof question, we are given three premises: not P or S, not S, and R or Q. We need to prove the statement P implies Q using a conditional world proof. We assume P is true and derive S using the first premise. Using the second premise and modus tollens, we derive not R. Finally, using disjunctive syllogism, we derive Q from the third premise and the derived value of not R. Therefore, we show that if P is true, then Q must also be true..

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Answer:

There's no A so I'm going to assume you meant X

X = 23

Step-by-step explanation:

X is equal to 23, because 23 - 18 = 5

or 5 + 18 = 23

The percentage of the people that were satisfied with the bus company's  performance is: B. 38.5%

Given the following data:

To determine the percentage of the people that were satisfied with the bus company's  performance:

In this exercise, you're required to find the number of the people that were satisfied with the bus company's  performance as a percentage of the total population in this survey.

Thus, we would use this formula:

\(Percentage = \frac{Satisfied\;people}{Population} \times 100\)

Substituting the given parameters into the formula, we have;

\(Percentage = \frac{77}{200} \times 100\\\\Percentage = \frac{77}{2}\)

Percentage = 38.5%

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The independent set in a graph is a set of vertices that contain no edges. So, no neighboring vertices are included. The max independent set problem is to get an independent set of maximum size in graph G.

The solution for this question is discussed below:

a) The integer linear program for the max independent set problem is as follows:

maximize ∑x_i Subject to: x_i+x_j ≤ 1 {i,j} ∈ E;x_i ∈ {0, 1} ∀i. The variable x_i can represent whether the ith vertex is in the independent set. It can take on two values, either 0 or 1.

b) The LP relaxation for the max independent set problem is as follows:

Maximize ∑x_iSubject to:

xi+xj ≤ 1 ∀ {i, j} ∈ E;xi ≥ 0 ∀i. The variable xi can take on fractional values in the LP relaxation.

c) The family of graphs is as follows:

Consider a family of graphs G = (V, E) defined as follows. The vertex set V has n = 2^k vertices, where k is a positive integer. The set of edges E is defined as {uv:u, v ∈ {0, 1}^k and u≠v and u, v differ in precisely one coordinate}. It can be shown that the size of the max independent set is n/2. Using LP, the value can be determined. LP provides a value of approximately n/4. Therefore, the ratio LP-OPT/OPT is at least c/4. Therefore, the ratio is in for a constant c>0.

d) The size of a max-independent set is equivalent to the number of vertices minus the minimum vertex cover size.

e) The 2-approximation algorithm for vertex cover implies a 2-approximation algorithm for the max independent set.

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Answer:

$308.49

Step-by-step explanation:

The function must has at least one solution to the equation in the interval (1, 2).

To use the Intermediate Value Theorem to show that there is a solution to the equation \(4x^3 - 6x^2 + 3x - 2\) = 0 in the interval (1, 2), we need to show that the function changes sign on the interval.

Let's evaluate the function at the endpoints of the interval:

\(f(1) = 4(1)^3 - 6(1)^2 + 3(1) - 2 = -1\\f(2) = 4(2)^3 - 6(2)^2 + 3(2) - 2 = 12\\\)

Since f(1) = -1 is negative and f(2) = 12 is positive, we have a sign change of the function on the interval (1, 2).

According to the Intermediate Value Theorem, if a continuous function changes sign on an interval, there must exist at least one solution to the equation within that interval.

In this case, since the function changes sign from negative to positive on the interval (1, 2), there must be at least one solution to the equation \(4x^3 - 6x^2 + 3x - 2 = 0\) in the interval (1, 2).

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The area of Kite PQRS at the right is concave. If we have PQ = QR = 20, PS= SR= 15, and QS = 7 is  220 square units

First, we can find the length of the diagonal PR using the Pythagorean theorem:

PR² = PQ² + QR² = 20² + 20² = 800

PR = sqrt(800) ≈ 28.28

Similarly, we can find the length of the diagonal QS:

QS² = QR² + RS² = 20² + 15² = 625

QS = sqrt(625) = 25

Now, we can split the kite into two triangles, PQS and QRS, and use the formula for the area of a triangle:

area of PQS = (1/2) * PQ * QS = (1/2) * 20 * 7 = 70

area of QRS = (1/2) * QR * RS = (1/2) * 20 * 15 = 150

So the total area of the kite is:

area of PQRS = area of PQS + area of QRS = 70 + 150 = 220

Therefore, the area of kite PQRS is 220 square units

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Answer:

Step-by-step explanation:

We need to cut each side of 10 in cake to:

It is possible by 4 cuts. In total the number of cuts is:

Total length of the cuts is:

It took 40 seconds to cut 80 in so each inch of cut takes:

Now, total length of cuts of 12 in x 12 in cake is:

Time required to cut this cake is:

If the null hypothesis is rejected, we can conclude that there is evidence to suggest that the population mean length of stay is significantly different from 6 days.

If the null hypothesis is not rejected, we do not have sufficient evidence to conclude a significant difference.

What is Hypothesis?

A hypothesis is an assumption, an idea that is proposed for the purpose of argumentation so that it can be tested to see if it could be true. In the scientific method, a hypothesis is constructed before any applicable research is done, other than a basic background review.

To conduct a formal hypothesis test to determine if the population mean length of stay is significantly different from 6 days, we can set up the null and alternative hypotheses and perform a statistical test.

Null Hypothesis (H0): The population mean length of stay is equal to 6 days.

Alternative Hypothesis (H1): The population mean length of stay is significantly different from 6 days.

We can perform a t-test to compare the sample mean with the hypothesized population mean. Let's denote the sample mean as x and the sample standard deviation as s. We will use a significance level (α) of 0.05 for this test.

Collect a random sample of length of stay data. Let's assume the sample mean is x and the sample standard deviation is s.

Calculate the test statistic t-value using the formula:

t = (x - μ) / (s / √n)

Where μ is the hypothesized population mean (6 days), n is the sample size, x is the sample mean, and s is the sample standard deviation.

Determine the degrees of freedom (df) for the t-distribution. For a one-sample t-test, df = n - 1.

Find the critical t-value(s) based on the significance level and degrees of freedom. This can be done using a t-distribution table or a statistical software.

Compare the calculated t-value with the critical t-value(s). If the calculated t-value falls within the rejection region (i.e., outside the critical t-values), we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Calculate the p-value associated with the calculated t-value. The p-value represents the probability of obtaining a test statistic as extreme or more extreme than the observed data, assuming the null hypothesis is true. If the p-value is less than the chosen significance level (α), we reject the null hypothesis.

Make a conclusion based on the results. If the null hypothesis is rejected, we can conclude that there is evidence to suggest that the population mean length of stay is significantly different from 6 days. If the null hypothesis is not rejected, we do not have sufficient evidence to conclude a significant difference.

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Answer:

correct answer 176

Step-by-step explanation:

Answer:

\(80 \: c = 176 \: f\)

Step-by-step explanation:

\(f = ( \frac{9}{5} \times c) + 32 \\ f = ( \frac{9}{5} \times 80) + 32 \\ f = (\frac{720}{5} ) + 32 \\ f = 144 + 32 = 176\)

The answer  is that with 95% confidence, we can say that the value of the true mean proportional limit stress of all such joints is centered around a certain value. This means that we are fairly certain that the true value lies within a certain range.

This bound is based on statistical analysis and assumes that the sample observations were taken from a normally distributed population. This means that the data follows a bell curve shape, with most of the values falling near the mean and fewer values falling farther away from the mean. The 95% confidence level means that if we were to repeat the experiment multiple times, we would expect the true value to lie within this range 95% of the time.

We cannot say for certain whether the true mean proportional limit stress is greater or less than the value we have calculated, but we can say that it is centered around this value with a high degree of confidence.

It is important to note that this bound is based on certain assumptions about the data and the population it represents. If these assumptions are not met, the bound may not be accurate or valid.

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5/6x + 7 = 17

Subtract 7 from both sides:

5/6x = 10

Divide both sides by 5/6:

X = 10/ 5/6

When dividing a number by a fraction flip

The fraction over and multiply:

X = 10 x 6/5

Simplify

X = (10x6)/5

X = 60/5

X = 12

The answer is x = 12

Answer:

\(\boxed {x = 12}\)

Step-by-step explanation:

Solve for the value of \(x\):

\(\frac{5}{6}x + 7 = 17\)

-Subtract both sides by \(7\):

\(\frac{5}{6}x + 7 - 7 = 17 - 7\)

\(\frac{5}{6}x = 10\)

-Multiply both sides by \(\frac{6}{5}\), which is the reciprocal of \(\frac{5}{6}\):

\(x = 10 \times (\frac{6}{5})\)

\(x = \frac{10 \times 6}{5}\)

\(x = \frac{60}{5}\)

-Divide \(60\) by \(5\):

\(x = \frac{60}{5}\)

\(\boxed {x = 12}\)

Therefore, the value of \(x\) is \(12\).

Given;

To Determine: The future value after 2 years if the compounded daily

Solution:

The future value of a compound interest is calculated using the formula

Substitute the given into the formula

Hence, the future value is $79,429.00