Assume your gross pay per pay period is $2,850 and you are in the 26 percent tax bracket (ignore provincial taxes). Calculate your net pay and spendable income in the following situations: a. You save $200 per pay period in a TFSA after paying income tax on $2,850. (Omit the "$" sign in your response.) Spendable Income $ b. You save $200 per pay period in an RPP. (Omit the "$" sign in your response.) Spendable Income

In a four-candidate race with 107 votes cast, the smallest number of votes a winning candidate can have is 28.

In a four-candidate race decided by plurality, the winning candidate is the one who receives the most votes, regardless of whether that number of votes constitutes a majority (more than 50%) of the total votes cast.

To determine the smallest number of votes a winning candidate can have in a four-candidate race with 107 votes cast, we can assume that the other three candidates each receive an equal number of votes, say x. Then, the winning candidate must receive more votes than each of the other three candidates.

So, the minimum number of votes the winning candidate can receive is x + 1.

The total number of votes cast in the election is:

x + x + x + (x + 1) = 4x + 1

Since we know that 4x + 1 = 107, we can solve for x:

4x + 1 = 107

4x = 106

x = 26.5

Since x must be a whole number, we can round up to x = 27.

Then, the minimum number of votes the winning candidate can have is:

27 + 1 = 28

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Answer:

3x^2+14x-5

Step-by-step explanation:

Use the foil method. Multiply 3x by (x+5) first, then multiply -1(x+5). This produces 3x^2+15x-x-5, reduce to get 3x^2+14x-5.

The product of the factors (3x - 1) and (x + 5) will be 3x² + 14x - 5.

Given that:
Factors, (3x - 1) and (x + 5)

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed.

The product of the factors (3x - 1) and (x + 5) will be given as,

⇒ (3x - 1)(x + 5)

⇒ 3x² + 15x - x - 5

⇒ 3x² + 14x - 5

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The university administration should not trust the results from this study as it did not take a random sample.

The appropriate question to ask in order to assess the evidence provided by the sample data is, "How likely is it to observe a difference of 0.09 or more extreme if there is no difference in the mean GPA for male and female scholarship athletes?"

This is because the sample data shows a difference of 0.09, so we want to find out how likely it is to observe a difference of this size or greater, given that there is no actual difference between the GPA of male and female scholarship athletes.
Based on the investigation that the professor conducted which revealed that the study was given to all of the athletes on the basketball teams exclusively, the university administration should not trust the results from this study.

This is because the study was not taken from a random sample of scholarship athletes, meaning that the sample did not accurately reflect the population. If the sample does not accurately reflect the population, then the results may be biased and should not be trusted.

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The z-values for the given situations are approximate:

a. The area to the left of z is 0.1827. z = -0.90

b. The area between −z and z is 0.9830. z = 2.17

c. The area between −z and z is 0.2148. z = 0.85

d. The area to the left of z is 0.9997. z = 3.49

e. The area to the right of z is 0.6847. z= -0.48

a. For an area of 0.1827 to the left of z, the corresponding z-value can be found using a standard normal distribution table or a statistical calculator. The z-value is approximately -0.90.

b. To find the z-value for an area between -z and z equal to 0.9830, we need to find the value that corresponds to (1 - 0.9830)/2 = 0.0085 in the upper tail of the standard normal distribution. Using the table or calculator, the z-value is approximately 2.17.

c. Similarly, for an area between -z and z equal to 0.2148, we find the value that corresponds to (1 - 0.2148)/2 = 0.3926 in the upper tail. The z-value is approximately 0.85.

d. For an area of 0.9997 to the left of z, we find the value that corresponds to 0.9997 in the upper tail. The z-value is approximately 3.49.

e. To find the z-value for an area to the right of z equal to 0.6847, we find the value that corresponds to 1 - 0.6847 = 0.3153 in the upper tail. The z-value is approximately -0.48.

In summary, the z-values for the given situations are approximate:

a. -0.90

b. 2.17

c. 0.85

d. 3.49

e. -0.48

These values can be used to determine the corresponding percentiles or probabilities for the standard normal distribution. The values are typically found using standard normal distribution tables or statistical calculators that provide the cumulative probability distribution function (CDF) for the standard normal distribution.

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Answer:

21

Step-by-step explanation:

7 is the largest prime number of 28

3 us the smallest prime number of 15

7 × 3 is 21

Answer:

21.

Step-by-step explanation:

Factors of 28=1,2,4,7,14,28 so largest prime number is 7.

Factors of 15=1,3,5,15 so smallest prime number is 3.

7x3=21(Ans)

In the Poisson distribution, the probability that x = 0 is 0.0150.

The probability that x > 1 is 0.9220.

The Poisson probability mass function is given by:

P(x; μ) = e^(-μ) * (μ^x)/ x!

where x is the number of events, and μ is the average number of events in a given interval.

For this problem, μ = 4.20.

To find the probability that x = 0, we plug in x = 0 and μ = 4.20:

P(x= 0) = e^(-4.20) * (4.20^0) / 0!

                         = e^(-4.20) * 1 / 1

                         = 0.0150

To find the probability that x > 1, we need to use the complement rule. That is:

P(x > 1) = 1 - P(x ≤ 1)

To find P(x ≤ 1), we can use the Poisson cumulative distribution function:

P(x ≤ 1) = P(x=0) + P(x=1)

           = [e^(-4.20) * (4.20^0) / 0!] + [e^(-4.20) * (4.20^1) / 1!]

           = 0.0150 + 0.0630

           = 0.0780

Therefore,

P(x > 1) = 1 - P(x ≤ 1) = 1 - 0.0780 = 0.9220

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Answer:

Step-by-step explanation:

-7x + 4 + 3x

-4x + 4

3x + 5x + 8

8x + 8

4x + 4x + 4x + 4x

4x * 4

16x

4x + 4x

8x

Answer:

Al evento entraron 82 adultos y 18 menores de edad.

Step-by-step explanation:

De acuerdo a la información proporcionada, puedes plantear las siguientes ecuaciones:

x+y=100 (1)

90x+45y=8190 (2), donde:

x es el número de adultos

y es el número de menores de edad

Puedes despejar x en (1):

x=100-y (3)

Después, puedes reemplazar (3) en (2):

90(100-y)+45y=8190

9000-90y+45y=8190

9000-8190=90y-45y

810=45y

y=810/45

y=18

Ahora, puedes reemplazar el valor de y en (3) para encontrar x:

x=100-y

x=100-18

x=82

De acuerdo a esto, la respuesta es que al evento entraron 82 adultos y 18 menores de edad.

Answer:

u = 21

Step-by-step explanation:

\(\frac{u-5}{8}\) = 2 ( multiply both sides by 8 to clear the fraction )

u - 5 = 16 ( add 5 to both sides )

u = 21

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=8 \end{cases}\implies 8\theta =180(8-2) \\\\\\ 8\theta =1080\implies \theta =\cfrac{1080}{8}\implies \theta =135^o\)

Check the picture below.

CI = 6.76 ± 1.96 × (2.67/√50)
CI = 6.76 ± 0.96
Therefore, the 95% confidence interval for the population means rating for Miami is: (5.80, 7.72)

We can be 95% confident that the true mean rating for Miami International Airport falls within this interval.
To develop a 95% confidence interval for the population means rating for Miami International Airport, we need to follow these steps:

1. Calculate the sample mean (x) by adding up all the ratings and dividing by the sample size (n=50).
2. Calculate the sample standard deviation (s).
3. Use a t-distribution to find the t-score for a 95% confidence interval with (n-1) degrees of freedom.
4. Calculate the margin of error (ME) using the t-score, standard deviation, and sample size.
5. Add and subtract the margin of error from the sample mean to find the lower and upper limits of the confidence interval.

To calculate the 95% confidence interval, we need to use the formula:
CI = x ± Z' (s/√n)
Where:
x = sample mean
Z' = z-score for the desired confidence level (in this case, 95%, so

Z' = 1.96)
s = sample standard deviation
n = sample size

Step 1: Calculate the sample mean (x)
Sum of ratings = 346
Sample size (n) = 50
x = 346/50 = 6.92

Step 2: Calculate the sample standard deviation (s)
Variance = [(Sum of (rating - x)^2) / (n-1)] = 88.48
Standard deviation (s) = √(88.48) = 9.41

Step 3: Find the t-score
For a 95% confidence interval with 49 (n-1) degrees of freedom, the t-score is approximately 2.01.

Step 4: Calculate the margin of error (ME)
ME = t-score × (s / √n) = 2.01 × (9.41 / √50) = 2.01 × 1.33 = 2.67

Step 5: Find the confidence interval
Lower limit: x - ME = 6.92 - 2.67 = 5.80
Upper limit: x + ME = 6.92 + 2.67 = 7.72

Thus, the 95% confidence interval for the population mean rating for Miami International Airport is approximately

(5.80, 7.72)

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The standard thermometer reads 50°C, the reading of the thermocouple is  0.3922.

To find the reading of the thermocouple when the standard thermometer reads 50°C substitute T = 50 into the equation e = 0.4T - e(T - 100). Let's calculate it:

e = 0.4(50) - e(50 - 100)

e = 20 - e(-50)

e = 20 + 50e

to solve this equation for e. Let's rearrange it:

50e + e = 20

51e = 20

e = 20/51 ≈ 0.3922

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P(A) = (4/36) * (3/6) = 1/18. Rounded to four decimal places, P(A) is 0.0556.  P(B) is 0.1111.  A and B are mutually exclusive because they cannot occur at the same time. If event A occurs (rolling a 4 or 5 first followed by an even number), then the sum of the two dice will be either 6 or 8. A and B are mutually exclusive because they cannot occur at the same time.  the lowest possible sum for event A is 6. Therefore, the two events are not independent.

a. To calculate P(A), we need to find the probability of rolling 4 or 5 first (which can occur in 4 out of 36 ways) and then rolling an even number (which can occur in 3 out of 6 ways). The probability of both events occurring is the product of their probabilities: P(A) = (4/36) * (3/6) = 1/18. Rounded to four decimal places, P(A) is 0.0556.

b. There are only 4 ways to get a sum of 5 or less: (1,1), (1,2), (2,1), and (1,3). There are a total of 36 possible outcomes when rolling two dice, so P(B) = 4/36 = 1/9. Rounded to four decimal places, P(B) is 0.1111.

c. A and B are mutually exclusive because they cannot occur at the same time. If event A occurs (rolling a 4 or 5 first followed by an even number), then the sum of the two dice will be either 6 or 8. But if event B occurs (the sum of the two dice is at most 5), then the sum of the two dice will be either 2, 3, 4, or 5. These two events cannot occur together because their outcomes are mutually exclusive.

d. A and B are not independent events. The occurrence of one event affects the probability of the other event. For example, if we know that event A has occurred (rolling a 4 or 5 first followed by an even number), then the probability of event B (the sum of the two dice is at most 5) is zero, since the sum of the two dice will be either 6 or 8. Similarly, if we know that event B has occurred (the sum of the two dice is at most 5), then the probability of event A (rolling a 4 or 5 first followed by an even number) is zero, since the lowest possible sum for event A is 6. Therefore, the two events are not independent.

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Answer:

c

Step-by-step explanation:

Answer:

explain yourself

Step-by-step explanation:

explain yourself, rather than writing the answer as x=88 explain why it is, for example we can say that

"since a four sided shapes total interior angles are 360⁰ we can add up the angles that we know, here 156, 69 and 47, giving us 272, subtracting that from 360 gives us 88 which is the answer for x"

Answer:

answer below

Step-by-step explanation:

angles in quadrilateral add up to 360°

Complement of set A is the set of all elements in the universal set that are not in the set .

If there is a subset of the universal set (U) called A, then the complement of set A, denoted by the symbol A', is different from the elements of set A and contains the elements of the universal set but not the elements of set A.

In this case, A' = x U: x A.

In other words, the complement of a set A is the difference between the universal set and set A.

For example: U = {1, 2, 3, 5, 7, 9, 15 ,14, 13}, A = {1, 2, 3, 5,7,9}, find the complement of A.

A' = U - A = {1, 2, 3, 5, 7, 9, 15,14,13} - {1, 2, 3, 5,7,9} = {15,14, 13}

A set that contains items from all related sets, without any repetition of elements, is known as a universal set (often symbolised by the letter U). If A and B are two sets, for example, A = 1, 2, 3 and B = 1, a, b, c, then U = 1, 2, 3, a, b, c is the universal set that these two sets belong to.

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Answer:

\( - 12xy {}^{2} \)

Step-by-step explanation:

A coefficient is a rational number in front of multiple consecutive terms.

The probability that an individual resulting from a cross between a true-breeding tall pea plant and a true-breeding dwarf plant will be true-breeding is 50%, while the probability that it will be a true-breeding tall plant is 25%.

When a true-breeding tall pea plant is crossed with a true-breeding dwarf plant, all the offspring in the first generation, or F1 generation, will be heterozygous and have one allele for tallness and one allele for dwarfness. Since the allele for tallness is dominant over the allele for dwarfness, all the F1 plants will be tall. However, none of the F1 plants will be true-breeding because they all carry one allele for tallness and one allele for dwarfness.

When two F1 plants are crossed with each other, the resulting offspring in the F2 generation will have a 3:1 ratio of tall to dwarf plants. However, only one-third of the tall F2 plants will be true-breeding, meaning they will have two alleles for tallness and will always produce tall offspring when self-fertilized.

Therefore, the probability that an individual resulting from this cross will be true-breeding is 50%, while the probability that it will be a true-breeding tall plant is 0%.

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stores revenue = $12,400

35 % of 12,400 = revenue for good advertising

= 35 / 100 × 12,400

= $4,340

so from $12,400 $4,340 was earned due to good advertising

ik its late but the correct answer is C:(2,-2)

Step-by-step explanation:

I got the answer correct on Edge 2020.

Hope this helps!!

There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8

Answer:

Approximately 0.0121 will be left after 15 days.

Step-by-step explanation:

We can write an exponential function to model the situation. The standard exponential function is given by:

\(y=a(b)^x\)

Let x represent the amount of days. Since the initial amount is 3,820 pounds, a = 3820. It decays at a rate of 57% per day. So, after one day, it will only have 100% - 57% = 43% or 0.43 of its previous amount. So, b = 0.43.

Hence, our function is:

\(y=3820(0.43)^x\)

After 15 days, x = 15. Substitute and evaluate:

\(y(15)=3820(0.43)^{15}\approx 0.0121\text{ pounds}\)

Answer:

23mm

Step-by-step explanation:

\(area = \frac{1}{2} bh\)

\(184 {mm}^{2} \: = \: \frac{1}{2} \times 16mm \: \times \: b\)

\(184 {mm}^{2} = \frac{16}{2} mm \times b\)

\(184 {mm}^{2} = \: 8mm \: \times \: b\)

\( \frac{184 {mm}^{2} }{8mm} = \: \frac{8mm}{8mm} \times b\)

\(b = 23mm\)

hope it helps

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A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.

Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now

has a sibling: 5

possesses no sisters: 2

has an 18-year-old brother

possesses no brothers: 4

We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.

No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.

As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:

Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.

Probability equals 2/4

Probability equals 0.5 or half.

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Answer:

38.5 is the volume

Step-by-step explanation:

3.5x4=14

14x5.5=77

now you divide by two because it's a triangle

The given points are (-1,2) and (3,-6).

We use the midpoint formula

Where,

Replacing all these values, we have

True, if Στ = 0 in a single-factor experiment, then all treatment means must be equal.

In single-factor experiments, if the sum of the treatment effects (Στ) is equal to zero (Στ = 0) for all levels (i=1 to n), then it implies that all treatment means (Ti) must be equal.

In a single-factor experiment, a single independent variable (factor) is manipulated, and its effect on the dependent variable is studied across different levels or treatments.

The treatment effects (τ) represent the differences in the mean response between each treatment level and the overall mean of the dependent variable.

If the sum of these treatment effects (Στ) is equal to zero (Στ = 0), it means that the positive and negative differences cancel each other out, resulting in a net effect of zero.

If Στ = 0, it implies that the total treatment effect across all levels is balanced, indicating that there are no systematic differences between the treatment means.

Consequently, if all treatment effects cancel out and Στ = 0, it implies that the means of all treatment levels (Ti) must be equal since any deviations from the overall mean are offset by equal and opposite deviations in other treatment levels.

Therefore, if Στ = 0 in a single-factor experiment, it indicates that all treatment means must be equal.

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Answer:

3.

Step-by-step explanation:

If there were 20 hats, and 4 of them were fedoras, we can conclude that 1/5 of the sent hats are going to be fedoras.

If there are 15 hats, we multiply 15 by 1/5 to get 3.

Hope this helps!

The final volume of the ideal gas is 10.02 liters.

Given Initial volume V₁=10 liters

Initial temperature T₁=404K

Initial pressure P₁ = 36 pascals

Final volume = V₂

Final temperature T₂ = 450K

Final pressure P₂ =40 pascals

The ideal gas equation with usual notations is given by:

\(\frac{P_1V_1}{T_1} =\frac{P_2V_2}{T_2}\)

So, \(\frac{36*10}{404} =\frac{40*V_2}{450}\)

\(V_2=\)10.02 liters

Hence, the final volume of the ideal gas is 10.02 liters.

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Answer:

10 liters

Step-by-step explanation:

Answer:

6 bghyjy UC Houston post Getty photo Getty hide and the new Yorker