if i have 5 blue pens and 3 black pens, What fraction of the number of black pens is the number of blue pens?

Answer:

E ( X ) = 3.5

Var ( X ) = 91 / 12

Step-by-step explanation:

Solution:-

- Let X = M (T), where M (T) is the Random variable that denotes the number of arrivals in time T for the Poisson process.  The parameter λ = rate of 7 per hour

- To find E ( X ), condition X on the random arrival time T of the next train.

- Note that if Y ~ Poisson ( μ ), then the T is defined by uniform distribution over the interval [ 0 , 1 ] :

                           E ( Y ) = Var ( Y ) = μ

                           E ( T ) = 1 / 2

                           Var ( T ) = 1 / 12

- We have, N ( T ) ~ Poisson ( λt ), where t ≥ 0 and λ = 7. Thus,

                           E ( N ( T ) / T ) =  λ*T

                           Var ( N ( T ) / T ) =  λ*T.

Therefore,

                           E ( X ) = E ( N ( T ) ) = E ( E ( N ( T ) / T ) )

                            = E ( λ*T ) = λ* E ( T ) = 7/ 2 = 3.5

- For two Random Variables U and V,

                           Var ( U ) = E ( Var ( U / V ) ) + Var ( E ( U / V ) )

Therefore,

                           Var ( X ) = E ( Var ( X / T ) ) + Var ( E ( N ( T ) / T ) )

                           =  E ( λ*T) + Var ( λ*T )

                           = λ* E ( T ) + λ^2* Var ( T )

                           = 3.5 + 7^2 / 12

                           = 91 / 12

Answer:

The proportion of sampled students that complete their degree is 0.74.

The lower bound for the 95% confidence interval is 0.659 and the upper bound is 0.819.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 115, \pi = \frac{85}{115} = 0.739[/tex]

Rounded to two decimal places, the proportion of sampled students that complete their degree is 0.74.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.739 - 1.96\sqrt{\frac{0.739*0.261}{115}} = 0.659[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.739 + 1.96\sqrt{\frac{0.739*0.261}{115}} = 0.819[/tex]

The lower bound for the 95% confidence interval is 0.659 and the upper bound is 0.819.

Answer:

standard deviation = ±0.4667

Step-by-step explanation:

In Normal distribution, approximately 68% of all the data lie within 1 standard deviation from the mean, approximately 95% of all the data lie within 2 standard deviations from the mean and approximately 99.7% of all the data lie within 3 standard deviations from the mean.

Therefore, for a confidence interval of 99.7% the standard deviation of the x¯ must be 3 standard deviations from the mean,

3σ = ±1.4

σ = ±1.4/3

σ = ±0.4667

Therefore, 0.4667 is the standard deviation that x¯ must have so that 99.7% of all samples give an x¯ within 1.4 point of μ.

The required situation could be modeled with the equation 40 ÷ 8 = 5 as "There are eight in each of the 40 groups. Which groupings are there, exactly?"

In mathematics, divides left-hand operands into right-hand operands in the division operation.

The equation is given in the question

40 ÷ 8 = 5

An equation of this kind may be used to model any situations in which 40 items are divided into 8 or 5 divisions. There are a few possibilities:

"There are eight in each of the 40 groups. Which groupings are there, exactly?"

"There are a total of 40, separated into 8 categories. In how many groups are there?"

Thus, the above situations could be modeled with the equation 40 ÷ 8 = 5.

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Answer:

Linearly independent

Step-by-step explanation:

let a,b,c be element of F. for all x element of F.

1) if a, b and c are zero then they are independent

2) if not all a,b,c are zero then it is independent.

Now lets write it as a linear combination

 i.e  8a +b Sinx +c Cosx = 0

equating the coefficients we have

: 8a =0 hence a = 0

: b Sinx = 0

b = 0

: c Cos x = 0

c is not 0

Hence it is Linearly independent

Final answer:

Linearly test the set {f(x) = 8, g(x) = sin(x), h(x) = cos(x)} for independence. If dependent, express one function as a combination of others.

Explanation:

To test for linear independence in the set ℱ = {f(x) = 8, g(x) = sin(x), h(x) = cos(x)}, we can see if the determinant of the matrix formed by the functions is zero. If it is, the set is linearly dependent. If the set is linearly dependent, we can write one function as a linear combination of the others, for example, h(x) = √(g(x)^2 + f(x)^2).

Answer:

a) 281 days.

b) 255 days

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 this problem, we have that:

[tex]\mu = 270, \sigma = 8[/tex]

​(a) What is the minimum pregnancy length that can be in the top 8​% of pregnancy​ lengths?

100 - 8 = 92th percentile.

X when Z has a pvalue of 0.92. So X when Z = 1.405.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.405 = \frac{X - 270}{8}[/tex]

[tex]X - 270 = 1.405*8[/tex]

[tex]X = 281[/tex]

(b) What is the maximum pregnancy length that can be in the bottom 3​% of pregnancy​ lengths?

3rd percentile.

X when Z has a pvalue of 0.03. So X when Z = -1.88

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.88 = \frac{X - 270}{8}[/tex]

[tex]X - 270 = -1.88*8[/tex]

[tex]X = 255[/tex]

Answer:

Check the explanation

Step-by-step explanation:

1

a) A is an Equivalence Relation

Reflexive : x is parallel to itself => x R x

Symmetric : x is parallel to y => y is parallel to x.

Therefore x R y => y R x

Transitive :  x is parallel to y and y is parallel to z then x, y, z are parallel to each other.

=> x R y and y R z => x R z

Therefore A is equivalent.

1. b)

x r y if and only if |x-y| less than or equal to 7

Reflexive : |x-x| = 0 <= 7 => x R x Satisfied.

Symmetric : let x R y => |x-y| <= 7

Consider |y-x| = |(-1)*(x-y)| = |x-y| <= 7

=> y R x => Satisfied

Transitive : let x R y and y R x

=> |x-y| <= 7 and |y-z| <= 7

but this doesn't imply x R z

Counter-Example : x = 1, y = 7, z = 10

Therefore this relation is neither Equivalent nor Partial Order Relation.

The relation x r y if and only if x is parallel to y for lines in the plane is an equivalence relation as it is reflexive, symmetric, and transitive. For the set of real numbers with the relation x r y if and only if |x - y| ≤ 7, the relation is neither an equivalence relation nor a partial ordering because it lacks antisymmetry.

When determining if a relation is an equivalence relation or a partial ordering, we must assess whether it satisfies specific properties. For a relation to be an equivalence relation, it must be reflexive, symmetric, and transitive. In the case of A = { lines in the plane } and relation r defined by x r y if and only if x is parallel to y, we can say:

Therefore, this relation is an equivalence relation.

For the set A = R and the relation r defined by x r y if and only if | x − y | ≤ 7, the relation is not a partial ordering because it is not antisymmetric (if x r y and y r x, then x must equal y, which isn't necessarily true for all real numbers within 7 units of each other). However, it is reflexive and symmetric.

Answer:

if you are trying to find the total amount of stamps its 72 stamps

Step-by-step explanation:

calculator

Answer:

Check attachment for solution

Step-by-step explanation:

Given that,

Answer:

C) ⅙

Step-by-step explanation:

Starting with A:

April, August

2/12

1/6

Answer:

a, b. c, e

Step-by-step explanation:

Hence, Justin will have to ask for 1480 from family and friends  to cover cost.

What is cost?

Amount at which any product prices , that is it can be sold or bought.

How to calculate?

I Tuition = -$2,900

Other educational expenses = -$280

Housing and living expenses =- $4,100

estimates of grants= $3,500

work-study program =$2,800

savings = $500

hence cost = 3500-2900-280-4100+2800-500=-1480

∴ Justin will have to ask for 1480 from family and friends  to cover cost.

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Answer:

x = 25

Step-by-step explanation:

[tex] \frac{5}{7} = \frac{x}{35} \\ \\ x = \frac{5 \times 35}{7} \\ \\ x = 5 \times 5 \\ \\ \huge \red{ \boxed{ x = 25}}[/tex]

Answer:

5/9

Step-by-step explanation:

Answer:

See attached files

Step-by-step explanation:

Answer:

a) π = np

π represents the number of heads that turn up in 1000 tosses of the coin.

b) The null hypothesis is represented as

H₀: p ≤ 0.50

The alternative hypothesis is given as

Hₐ: p > 0.50

c) The validity conditions that must be met to be able to perform a theory-based test to test the hypothesis is having a sample size of 20 in each group and the distribution should not be strongly skewed.

The validity conditions are met because we have 1000 tosses with 520 heads and 480 tails, indicating that we have more than 20 sample size in this sample.

The sample proportion (0.52) and the standard error of the sample proportion (0.0158) show that the distribution approximates a normal distribution and isn't skewed. So, the theory based test for this study is valid.

d) Check Explanation

e) The p-value obtained is greater than the significance level at which the test might have been performed, hence, we fail to reject the null hypothesis and conclude that there is no significant evidence that the coin is likely to turn up heads more times when tossed multiple times, starting with a first toss that gives a head.

The researchers' claim then has to be wrong.

Step-by-step explanation:

a) If p corresponds to the proportion of 1000 tosses that turn up heads,

π = np

where n = number of tosses.

b) For hypothesis testing, the first thing to define is the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question where we want to verify that the coin is likely to turn up heads more times when tossed multiple times, starting with a first toss that gives a head. That is, the proportion of heads in multiple tosses is more than 0.5 given that the first toss was a head.

The null hypothesis would be that there is no significant evidence that the coin is likely to turn up heads more times when tossed multiple times, starting with a first toss that gives a head.

That is, the coin is likely to turn up heads less than or equal to 50% of the time, when it is tossed multiple times, starting with a first toss that gives a head.

The alternative hypothesis is that there is significant evidence to conclude that the coin is likely to turn up heads more times when tossed multiple times, starting with a first toss that gives a head.

Mathematically,

The null hypothesis is given as

The null hypothesis is represented as

H₀: p ≤ 0.50

The alternative hypothesis is given as

Hₐ: p > 0.50

c) The conditions that need to be satisfied before a theory based test is used include:

The validity conditions that must be met to be able to perform a theory-based test to test the hypothesis is having a sample size of 20 in each group and the distribution should not be strongly skewed.

d) The standardized statistic shows how far away from the standard proportion (the proportion that the population proportion is being compared with) the sample proportion is in terms of the standard error of the sample proportion.

It is given mathematically as,

t or z = (x - μ)/σₓ

x = p = sample proportion of the number of heads obtained in the multiple tosses starting with a first result of a head turning up = 0.52

μ = p₀ = 0.50 (the standard being tested against.

σₓ = standard error of the sample proportion, given as σₓ = √[p(1-p)/n]

n = sample size = 100

σₓ = 0.0158

The standardized statistic is also used to obtain the p-value that indicates how significant the results of the theory based test is.

e) The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, like all other hypothesis testing, the significance level is usually at 0.05. On rare occasions, 0.01 and 0.10 are often used.

Whichever of the 3 is used,

p-value = 0.1030

0.1030 > 0.05, 0.01 or 0.10

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & conclude that there is no significant evidence that the coin is likely to turn up heads more times when tossed multiple times, starting with a first toss that gives a head.

Hope this Helps!!!

No, you do not have to buy a vehicle if you had been told that it had been driven less than 6000 miles in the past year and this can be determined by using the formula of z-score.

Given :

The following steps can be used in order to determine whether you have to buy a vehicle or not:

Step 1 - The formula of z-score can be used in order to determine whether you have to buy a vehicle or not.

Step 2 - The z-score formula is given below:

[tex]\rm z = \dfrac{x-\mu}{\sigma}[/tex]

Step 3 - Substitute the known terms in the above expression.

[tex]\rm z = \dfrac{6000-12494}{1290}=-5.0341[/tex]

Step 4 - Now, the p-value is given below:

[tex]\rm P(x < 6000)=P(z<-5.0341)[/tex]

Step 5 - Now, using the z table the value of P is:

P(x < 6000) = 0

No, you do not have to buy a vehicle if you had been told that it had been driven less than 6000 miles in the past year.

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Answer:

120 feet in total

Step-by-step explanation:

Hi there! I'm glad I was able to help you out!

We are given that one racetrack is 40 yards long in length.

We also know that there are three feet in one yard alone. In order to get the answer to this math problem, all we have to do is multiply 40 by 3, where the 40 represents the amount of yards and the 3 represents the amount of feet IN a single yard.

40 × 3 = 120

Therefore, there are 120 feet in total, in terms of the racetrack's length.

I hope I was able to help you understand this a little bit more! :)

There are 120 feet in total, in terms of the racetrack's length.

Here, we have,

a racetrack is 40 yards long.

we know that,

1 yard = 3 feet

We are given that one racetrack is 40 yards long in length.

We also know that there are three feet in one yard alone.

In order to get the answer to this math problem, all we have to do is multiply 40 by 3,

where the 40 represents the amount of yards

and the 3 represents the amount of feet IN a single yard.

40 × 3 = 120

Therefore, there are 120 feet in total, in terms of the racetrack's length.

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Answer with Step-by-step explanation:

We are given that

[tex]f(x)=-sin x[/tex]

[tex][0,\infty][/tex]]

Average value of the function is given gy

[tex]f_{avg}=\frac{1}{b-a}\int_{a}^{b}f(x)dx=\frac{1}{\pi-0}\int_{0}^{\pi}-sinx dx[/tex]

[tex]f_{avg}=\frac{1}{\pi}[cosx]^{\pi}_{0}[/tex]

Using the formula

[tex]\int sin xdx=-cos x[/tex]

[tex]f_{avg}=\frac{1}{\pi}(cos\pi-cos0)[/tex]

[tex]f_{avg}=\frac{1}{\pi}(-1-1)=-\frac{2}{\pi}[/tex]

[tex]f(x)=f_{avg}[/tex]

[tex]-sinx=-\frac{2}{\pi}[/tex]

[tex]sinx=\frac{2}{\pi}[/tex]

[tex]x=sin^{-1}(\frac{2}{\pi})=0.69radian[/tex]

The average value of the function is [tex]-\frac{2}{\pi}[/tex].

The average value of the function is given as,

                    [tex]Average=\frac{1}{\pi} \int\limits^\pi_0 {f(x)} \, dx[/tex]

Given function is, [tex]f(x)=-sinx[/tex]

Substitute values in above relation.

                [tex]Average=\frac{1}{\pi} \int\limits^\pi_0 {-sinx} \, dx\\\\Average=\frac{1}{\pi} (cosx)^{\pi} _{0}\\\\Average=\frac{1}{\pi}(cos\pi - cos 0)\\\\Average=\frac{1}{\pi}(-1-1)\\\\Average=-\frac{2}{\pi}[/tex]

The values of x in the interval for which the function equals its average value is,

              [tex]-sinx=-\frac{2}{\pi}\\ \\x=sin^{-1} (\frac{2}{\pi} )=39.56[/tex]

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Answer:

Line C

Step-by-step explanation:

I picked this answer because the slope of the line is 4, which is -12/-3.

If this answer is correct, please make me Brainliest!

Answer: 12 Centimeter

Step-by-step explanation:

3 by 4 multiplied by 2

3cm x 4cm x 2

= 12cm x 2

= 24cm

6 out of 30 times would be written as

6/30 which reduces to 1/5 which would mean the spinner is divided into 5 different colors.

There could be more than one solution. The spinner could be divided into 10 spaces and red could be 2 of the spaces, or any other multiple of 5s

Answer:

The spinner has 5 equal sections, with one section red.

It can have 5N equal sections, with N sections Red

Step-by-step explanation:

p(red) = 6/30 = 1/5

1/5 = 2/10

Out of 10 sections, 2 are Red

In general,

It can have 5N equal sections, with N sections Red

Answer:

y=2x+2

Step-by-step explanation:

To find the y intercept of the equation you add 4 beacuse the point is 2 under the y intecrept and 2*2 is 4 so -2+4=2 so the y value of the y intercept is 2 so

y=2x+2

Answer:

y=2x+2

Step-by-step explanation:

Since we have a point and a slope, we can use the point slope formula:

y-y1=m(x-x1)

where m is the slope, y1 is the y coordinate of the point, and x1 is the x coordinate of the point

We know the slope is 2, the y coordinate is -2, and the x coordinate is also -2, so we can substitute them in

y-y1=m(x-x1)

y- -2 =2(x - -2)

y+2=2(x+2)

Now we need to solve for/ isolate y

Distribute the 2

y+2=2*x+2*2

y+2=2x+4

Subtract 2 from both sides

y=2x+2

Answer:

D) The standard deviation of the residuals

Step-by-step explanation:

Answer:

The answer would be, 79.8%.

-Hope this helps! :D

Answer:

[tex]0.798\%[/tex]

Step-by-step explanation:

[tex]0.798 \times 100\% \\ 0.798 \times \frac{100}{100} \\ = \frac{0.798 \times 100}{100} \\ = 0.798\%[/tex]

Answer:

3612 - 63 m

Step-by-step explanation:

3612 – m – 62m

We cannot find the value of m, but we can simplify the expression

3612 – m – 62m

3612 - 63 m

To find the value of m, we can solve the given equation: 3612 - m - 62m. Combining the m terms, we have: 3612 - 63m. Since no other operations are indicated, we assume this is an equation and set it equal to zero. Now, let's solve for m: Subtracting 3612 from both sides, -63m = -3612. Dividing both sides by -63, m = 57.33.

To find the value of m, we can solve the given equation:

3612 - m - 62m

Combining the m terms, we have:

3612 - 63m

Since no other operations are indicated, we assume this is an equation and set it equal to zero:

3612 - 63m = 0

Now, let's solve for m:

Subtracting 3612 from both sides:

-63m = -3612

Dividing both sides by -63:

m = 57.33

Answer:

We conclude that the mean contents of cola bottles is more than or equal to the advertised 300 ml.

Step-by-step explanation:

We are given that Bottles of a popular cola drink are supposed to contain 300 ml of cola. The distribution of the contents is normal with standard deviation of 3 ml.

A student who suspects that the bottler is under-filling measures the contents of six bottles. The results are: 299.4, 297.7, 301.0, 298.9, 300.2, 297.0

Let [tex]\mu[/tex] = mean contents of cola bottles.

SO, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex]  300 ml   {means that the mean contents of cola bottles is more than or equal to the advertised 300 ml}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 300 ml   {means that the mean contents of cola bottles is less than the advertised 300 ml}

The test statistics that will be used here is One-sample z test statistics as we know about the population standard deviation;

                       T.S.  = [tex]\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean contents of cola bottle = [tex]\frac{\sum X}{n}[/tex] = 299.03 ml

            [tex]\sigma[/tex] = population standard deviation = 3 ml

            n = sample of bottles = 6

So, test statistics  =  [tex]\frac{299.03-300}{\frac{3}{\sqrt{6} } }[/tex]     

                               =  -0.792

Now at 5% significance level, the z table gives critical value of -1.6449 for left-tailed test. Since our test statistics is more than the critical value of z as -0.792 > -1.6449, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean contents of cola bottles is more than or equal to the advertised 300 ml.

Answer:

b its b i am  a  student i got good grades very goods grades

Step-by-step explanation:

Answer:

We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 14.6% or not. So we need to use a one proportion z test and the system of hypothesis are:  

Null hypothesis:[tex]p=0.146[/tex]  

Alternative hypothesis:[tex]p \neq 0.146[/tex]  

A. One-proportion z-test

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

And the conditions required are:

1) The data comes from a random sampling

2) Independence condition between observations

3) np>10 and n(1-p)>10

4) The sample size is 10 times lower than the population size.

Step-by-step explanation:

Data given and notation

n=865 represent the random sample taken

X=159 represent the housing units that are vacant

[tex]\hat p=\frac{159}{865}=0.184[/tex] estimated proportion of vacant units

[tex]p_o=0.146[/tex] is the value that we want to test

[tex]\alpha[/tex] represent the significance level

z would represent the statistic (variable of interest)

[tex]p_v[/tex] represent the p value (variable of interest)  

Solution to the problem

We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 14.6% or not. So we need to use a one proportion z test and the system of hypothesis are:  

Null hypothesis:[tex]p=0.146[/tex]  

Alternative hypothesis:[tex]p \neq 0.146[/tex]  

A. One-proportion z-test

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

And the conditions required are:

1) The data comes from a random sampling

2) Independence condition between observations

3) np>10 and n(1-p)>10

4) The sample size is 10 times lower than the population size.

Final answer:

The mortgage amount for the home is $192,000 after a 20% down payment on a $240,000 purchase price. The cost for two points at closing is $3,840, which is 2% of the mortgage amount.

Explanation:

The amount of the mortgage can be found by subtracting the 20% down payment from the purchase price of the home. For a home priced at $240,000, a 20% down payment is $48,000 ($240,000 × 0.20), leaving a mortgage amount of $192,000 ($240,000 - $48,000).

Next, the cost of the two points at closing is calculated based on the mortgage amount. Each point costs 1% of the mortgage amount, so two points would be 2% of $192,000, which comes to $3,840

Answer:

$2000

Step-by-step explanation:

biweekly is defined as every 2 weeks

assume each month has 4 weeks

there are 12 months in a year and she is paid 2x per month so there are 24 weeks she is paid

48000/24 can be used to find the biweekly pay which is 2000

Pam's gross pay per biweekly paycheck is calculated by dividing her annual salary ($48,000) by the number of pay periods in a year (26). This results in an approximate gross pay of $1,846.15 per biweekly paycheck.

The student's question pertains to calculating her gross pay per paycheck given her annual salary. To carry out this process, you need to understand that there are typically 52 weeks in a year and that being paid biweekly results in 26 pay periods (52 weeks divided by 2). Hence, you divide Pam’s annual gross pay amount of $48,000 by the 26 pay periods to get her gross pay, per paycheck.

Steps:

So, $48,000 / 26 = $1,846.15
This means Pam's biweekly paycheck would be roughly $1,846.15, before taxes and other deductions.

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