-18 ≥ 4 + 2q
Solve for me, please.

Answer:

1) Lowest temperature = -5.5 (Wednesday)

2) a. -62 is less than (colder than) -55 so the average temperature on Mars is warmer.

b. -62 < -55

3) No. -14 means that the number is 14 less than zero. -21 means that the number is 21 less than zero. Also, if you plot these numbers on a number line, -21 will be further to the left than -14. The further to the left a number is, the less it is. So, -21 is less than -14 and Anchorage is colder than Minneapolis.

The probability that the risk level is 0 irrespective of the applicant's marital status is 0.6.

The given information states that 60% of loan applicants were classified as low risk (risk level 0), and 40% were classified as high risk (risk level 1). Therefore, the probability of an applicant being classified as low risk is 0.6, and the probability of being classified as high risk is 0.4.

The question asks for the probability that an applicant is classified as low risk regardless of their marital status. This means that the probability is not affected by whether the applicant is married or not.

Since we know that the probability of an applicant being classified as low risk is 0.6, and this probability is not affected by their marital status, the answer to the question is simply 0.6.

In other words, regardless of whether an applicant is married or not, there is a 60% chance that they will be classified as low risk.

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Complete question is:

In a study, 60% of loan applicants were classified as low risk (risk level 0), while 40% were classified as high risk (risk level 1). And 40%of loan applicants were classified as low risk and married and 30% of loan applicants were classified as high risk and married. What is the probability that an applicant is classified as low risk (risk level 0) regardless of their marital status?

Answer:

A) 25 feet

Step-by-step explanation:

A sculptor uses the scale of 3 inches to represent 15 feet. Find the amount of feet represented by 1 inch by simply dividing 15 with 3:

15/3 = 5

1 inch represents 5 feet.

Next, it is given that the model of the airplane is 5 inches long. Multiply 5 inches with 5 feet to get the total measurement of the original airplane:

5 x 5 = 25 feet.

5 inches represent 25 feet.

A) 25 feet is our answer.

~

The length of the shorter piece of wire would be 22.

An electrician must divide a 49 m piece of wire into two sections, with the longer portion being 5 m longer than the shorter piece:

By using a simple Unitary Method We can solve this question

In order to calculate the required value using the unitary technique, multiply the value of one unit by the necessary number of units.

First wire - 27m

Second wire - 22m

27+22=49m

Also 27-22= 5

hence, s the length of the shorter piece of wire would be 22.

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Answer:

The ladder has 20 steps

Step-by-step explanation:

10 is the direct middle if you go down 4 that is 6, if you go back up 7 you get 13 and if you go back down 13 and you are on the first step 13-13 is 0, so the ladder has 20 steps.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to know how to determine the y-intercepts of a rational function, and their possible number.

A rational function f(x) is the ratio of two polynomial functions p(x) and q(x):

  f(x) = p(x)/q(x)

As such, both numerator and denominator have single function values for any value of the independent variable. The y-intercept of f(x) is ...

  f(0) = p(0)/q(0)

The values of p(0) and q(0) are simply the constant terms in those respective functions.

The simple way to find the y-intercept is to look at the ratio of the constant terms in the polynomial functions making up the rational function. If that is defined, there is one y-intercept. If it is undefined (q(0)=0), then there are no y-intercepts.

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To determine the change in angular momentum (ΔL) of a cylinder from t = 0 to t = t0, a student can use the equation:

ΔL = I * Δω

where ΔL is the change in angular momentum, I is the moment of inertia of the cylinder, and Δω is the change in angular velocity.

To calculate Δω, the student needs to know the initial and final angular velocities, ω0 and ωt0, respectively. The change in angular velocity can be calculated as:

Δω = ωt0 - ω0

Once Δω is determined, the student can use the moment of inertia (I) of the cylinder to calculate ΔL using the equation mentioned earlier.

The moment of inertia (I) depends on the mass distribution and shape of the cylinder. For a solid cylinder rotating about its central axis, the moment of inertia is given by:

I = (1/2) * m * r^2

where m is the mass of the cylinder and r is the radius of the cylinder.

By substituting the known values for Δω and I into the equation ΔL = I * Δω, the student can calculate the change in angular momentum (ΔL) of the cylinder from t = 0 to t = t0.

It's important to note that this method assumes that no external torques act on the cylinder during the time interval. If there are external torques involved, the equation for ΔL would need to include those torques as well.

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Subway ridership data can reveal useful patterns through calculations with multiple operators, informing decisions about infrastructure and scheduling to better serve riders' needs.

The subway ridership dataset can reveal a wealth of information through calculations with multiple operators. One such calculation is the average increase or decrease in ridership during specific time intervals. By comparing ridership during peak and off-peak hours or weekdays versus weekends, it is possible to determine when the subway system is busiest and when it is underutilized.

Another useful calculation is the average percentage change in ridership between different stations or subway lines. This can help identify the most popular stations or lines and can inform decisions about where to allocate resources and infrastructure improvements.

Additionally, it is possible to explore the correlation between ridership and other factors such as weather, events, or holidays. By analyzing how ridership fluctuates in response to external factors, transportation planners can adjust schedules and routes to better serve the needs of riders.

Calculations with multiple operators can also reveal patterns in ridership based on time of year or day of the week. By analyzing the average change in ridership on different days or months, transportation planners can make informed decisions about scheduling and staffing.

Finally, regression analysis can be used to identify the overall trend in ridership over time. By examining long-term ridership trends, transportation planners can identify areas for improvement and plan for future infrastructure projects to better meet the needs of subway riders.

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Answer:

C. (5, -3)

Step-by-step explanation:

Ordered pair just means the coordinate or the point at which both of the graphs intersect. On the x-axis, this is at point 5, and on the y-axis, this is at point -3. Since an ordered pair is in the form (x, y), the answer is therefore C.

The solution to the set of graphical equations are P ( 5 , -3 )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y = -x + 2

y = x - 8

On simplifying , we get

-x + 2 = x - 8

Adding x on both sides , we get

2x - 8 = 2

Adding 8 on both sides , we get

2x = 10

Divide by 2 on both sides , we get

x = 5

So , the value of x = 5 and y = -3

Hence , the solution is the point of intersection of lines on the graph which is P ( 5 , -3 )

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Answer:

5/8

Step-by-step explanation:

They ate 6/16 which the left is 10/16 is 5/8

The probability that the sum is 4 or higher is 11/12.

Probability in mathematics is the possibility of an event in time. In simple words, how many times does that incident is happening in any given time interval.

Given:

You rolled two fair 6 sided dice.

The total number of outcomes = 6 x 6 = 36.

The sample space that does not satisfy the condition,

S = {1 + 1, 1 + 2, 2 + 1}

The possible outcomes = 36 - 3 = 33

The probability that the sum is 4 or higher,

= 33/36

= 11/12

Therefore, 11/12 is the probability.

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Answer:

40

Step-by-step explanation:

It takes 10 apples to make a gram of fat. Multiply the 10 apples by 4 grams of fat to find that it takes 40 apples to make 4 grams of fat.

The answer is 40 apples.

This is a translation of 2 units to the left and 5 units up, so the correct option is the first one.,

Remember that a vertical translation of N units is:

g(x) = f(x) + N

if N < 0 the translation is down.

if N > 0 the translation is up.

And a horizontal translation of N units is:

g(x) = f(x + N)

If N > 0 the translation is to the right.

if N < 0 the translation is to the left.

Here we have the transformation:

f(x) = x²

g(x) = (x + 2)² + 5

So this is a translation of 2 units to the left and 5 units up.

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Answer:

\(a=\frac{5}{4}\pm\frac{\sqrt{23}}{4}i\)

Step-by-step explanation:

I assume your equation is \(2a^2-5a+6=0\):

\(\displaystyle a=\frac{-(-5)\pm\sqrt{(-5)^2-4(2)(6)}}{2(2)}\\\\a=\frac{5\pm\sqrt{25-48}}{4}\\\\a=\frac{5\pm\sqrt{-23}}{4}\\\\a=\frac{5\pm i\sqrt{23}}{4}\\\\a=\frac{5}{4}\pm\frac{\sqrt{23}}{4}i\)

The company's claim can be evaluated using a hypothesis test. The null hypothesis, denoted as H0, assumes that the true proportion of chips that do not fail in the first 1000 hours is 55% or lower.

Ha stands for the alternative hypothesis, which assumes that the real proportion is higher than 55%. This test has a significance level of 0.01.

A sample of 800 chips was taken based on the information provided, and it was discovered that 60% of them do not fail in the first 1000 hours. A one-sample percentage test can be used to verify the assertion.  The test statistic for this test is the z-score, which is calculated as:

\(\[ z = \frac{{p - p_0}}{{\sqrt{\frac{{p_0(1-p_0)}}{n}}}} \]\)

If n is the sample size, p0 is the null hypothesis' assumed proportion, and p is the sample proportion.

If we substitute the values, we get:

\(\[ z = \frac{{0.6 - 0.55}}{{\sqrt{\frac{{0.55(1-0.55)}}{800}}}} \]\)

The z-score for this assertion is calculated, and we find that it is approximately 2.86.

In order to determine whether there is sufficient data to support the company's claim, we compare the computed z-score with the essential value. At a significance level of 0.01 the critical value for a one-tailed test is approximately 2.33.

Because the estimated z-score (2.86) is larger than the determining value (2.33), we reject the null hypothesis. Therefore, the company's assertion that more than 55% of the chips do not fail in the first 1000 hours of use is supported by sufficient data at the 0.01 level.

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The standard normal distribution z-values are:

a. \(z_o\) ≈ 1.28

b. \(z_o\)  ≈ -2.75

c. \(z_o\)  ≈ -2.33

d. No specific value of z satisfies this condition.

e. \(z_o\)  ≈ 2.05

These values represent the critical z-values for the given probabilities in the standard normal distribution.

a. To find the value of z such that P(z ≥ \(z_o\) ) = 0.10, we look for the z-value corresponding to the upper tail probability of 0.10 in the standard normal distribution. Using a standard normal distribution table, we find that the z-value is approximately 1.28.

b. To find the value of z such that P(z\(z_o\) ) = 0.003, we look for the z-value corresponding to the lower tail probability of 0.003 in the standard normal distribution. Using a standard normal distribution table or a calculator, we find that the z-value is approximately -2.75.

c. To find the value of z such that P(z\(z_o\) ) = 0.01, we look for the z-value corresponding to the lower tail probability of 0.01 in the standard normal distribution. Using a standard normal distribution table, we find that the z-value is approximately -2.33.

d. To find the value of z such that P(z = \(z_o\) ) = 0.20, we look for the z-value corresponding to the probability of 0.20 in the standard normal distribution. However, since the standard normal distribution is continuous, the probability of obtaining an exact value is zero. Therefore, there is no specific value of z that satisfies this condition.

e. To find the value of z such that P(z > \(z_o\) ) = 0.02, we look for the z-value corresponding to the upper tail probability of 0.02 in the standard normal distribution. Using a standard normal distribution table, we find that the z-value is approximately 2.05.

Therefore, the standard normal distribution z-values are:

a. \(z_o\) ≈ 1.28

b. \(z_o\)  ≈ -2.75

c. \(z_o\)  ≈ -2.33

d. No specific value of z satisfies this condition.

e. \(z_o\)  ≈ 2.05

These values represent the critical z-values for the given probabilities in the standard normal distribution.

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Answer:

Step-by-step explanation:

I imagine you are in the section in math that teaches about systems! We need a system here to solve this problem...meaning we have 2 unknowns and we need to write 2 equations to solve for them. The first equation will involve the NUMBER of tickets sold, while the second equation will involve the COST of the tickets. These are 2 very different things, and we have what we need to write each equation. First the number of tickets equation:

We know that the number of student tickets (s) and the number of non-student tickets (n) totaled 15 tickets. That means the numbers equation is

s + n = 15

Now onto the money. Since s is student tickets, and each student ticket cost 12.50, the expression for that is 12.5s; since n is non-student tickets and each non-student ticket cost 18.50, the expression for that is 18.5n. That is the money expression for each type of ticket, and we know that the sales of these tickets totaled 223.50; therefore, the money equation is

12.5s + 18.5n = 223.5 (notice I dropped off the 0's since we don't need them).

Go back to the first equation and solve it for either s or n. I solve is for s:

If s + n = 15, then

s = 15 - n. Sub that into the second equation in place of s now:

12.5(15 - n) + 18.5n = 223.5 and simplify a bit by distributing to get

187.5 - 12.5n + 18.5n = 223.5 and combine like terms to get

6n = 36 so

n = 6. That means that there were 6 non-student tickets sold and

s + 6 = 15 student tickets sold:

s = 15 - 6 so

s = 9

The coordinates of T" include the following: D. (8, 10).

In Mathematics and Geometry, the translation of a geometric figure upward means adding a digit to the value on the positive y-coordinate (y-axis) of the pre-image.

(x, y)                                                    →                  (x - 1, y + 3)

Coordinate T (5, 2)                             →                  T' (5 - 1, 2 + 3) = T' (4, 5).

Next, we would dilate the coordinates of the vertices by applying a scale factor of 2 that is centered at the origin as follows:

Coordinate T' (4, 5) → (4 × 2, 5 × 2) = Coordinate T" (8, 10).

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In Bitcoin, when a merchant waits for n confirmation of a payment transaction before providing the product, there is a risk of a double-spend attack. In this situation, the network is aware of a branch crediting the merchant, which has n blocks on top of the one in which the fork started.

      By simulating m as a negative binomial variable, P(m) = (m + n - 1m)pnqm can be used to more precisely compute this probability for a given value of m.

           The attacker, on the other hand, has a branch with only m additional blocks. If we assume the honest network and the attacker have a proportion of p and q of the total network hash power, respectively, the probability of the attacker catching up when he is currently z blocks behind is given by az = paz+1 + qaz−1, where a is a constant.

          To calculate the probability more accurately, we can model m as a negative binomial variable.

          This is the number of successes (blocks found by the attacker) before n failures (blocks found by the honest network), with a probability q of success.

          The probability for a given value m is then given by P(m) = (m + n - 1m)pnqm.

         Thus, when dealing with a double-spend attack in Bitcoin, the probability that the attacker will be able to catch up is given by az = paz+1 + qaz−1, where a is a constant.

              This probability can be more accurately calculated by modeling m as a negative binomial variable, with the probability for a given value m given by P(m) = (m + n - 1m)pnqm.

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Using probability concepts, it is found that she could use a binomial distribution with \(n = 3\) and \(p = \frac{1}{3}\) to estimate the probability that the next three books she selects are all literature.

For each book she selects, there are only two possible outcomes, either it is a literature book, or it is not. The probability of a book selected being a literature book is independent of any other book, hence, the binomial distribution is used to solve this question.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

Hence, she could use a binomial distribution with \(n = 3\) and \(p = \frac{1}{3}\) to estimate the probability that the next three books she selects are all literature.

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Answer:

Number Cube

Let 1, 6= Literature

Let 2, 4= Fiction

Let 3, 5= Poetry

Roll the cube 3 times, Repeat

It has to be equal probability for all three

Answer:

The answer is B

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Answer:

1:11=11:121

5:2:1=35:14:7

1.5:1.25:2.4=6:5:9.6

Step-by-step explanation:

x/11=11/121 so x equals 1

5/2=x/14 so x equals 35

1.5/x=6/5 so x equals 1.25

1.25:2.4=5/x so x equals 9.6

35° + 60° + x° = 180°

95° + x° = 180°

x° = 180° - 95°

x° = 85°

In any triangle, the sum of its interior angles measures 180º.

The reasonableness of the estimate depends on the quality and reliability of the data sources and methodology used to arrive at the estimate.

In order to determine whether 12% is a reasonable estimate of the proportion of all Americans who eat chocolate

frequently, we would need to define what is meant by "frequently."

If we define "frequently" as "at least once a week," then 12% may or may not be a reasonable estimate, depending on

the data source and methodology used to arrive at that estimate.

For example, if the estimate is based on a small sample size or a non-representative sample of the population, then it

may not be a reliable estimate of the true proportion of Americans who eat chocolate frequently. Additionally, if the

estimate is several years old, it may not accurately reflect current trends and habits.

On the other hand, if the estimate is based on a large, nationally representative sample of the population, and is

relatively recent, then 12% could be a reasonable estimate of the proportion of Americans who eat chocolate

frequently.

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The graph of the inequality y ≥ (1/2)x - 1 and x - y > 1 is attached. Shannon's graph is correct.

An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.

Inequalities are used for the non equal comparison of numbers and variables.

Given the inequalities:

y ≥ (1/2)x - 1     (1)

and

x - y > 1     (2)

The graph of the inequality is attached. Shannon's graph is correct.

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