Plz help again. I can't do math lol.

To determine the assignment of employees to jobs that minimizes the total time required to perform the four jobs, we need to consider the time taken by each person to complete each job. Using the given Table 50, we can analyze the data and identify the optimal assignment.

By examining Table 50, we can identify the minimum time taken by each person for each job. Starting with Job 1, we see that Person 4 takes the least time of 16 hours. Moving to Job 2, Person 2 takes the least time of 18 hours. For Job 3, Person 1 takes the least time of 25 hours. Lastly, for Job 4, Person 4 takes the least time of 14 hours.

Therefore, the optimal assignment would be:

- Person 4 for Job 1 (16 hours)

- Person 2 for Job 2 (18 hours)

- Person 1 for Job 3 (25 hours)

- Person 4 for Job 4 (14 hours)

This assignment ensures that the minimum total time is required to perform the four jobs, resulting in a total time of 16 + 18 + 25 + 14 = 73 hours.

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The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°

From the question, we have the following parameters that can be used in our computation:

The transversal lines and the other lines

So, we have

∠1 = 180 - 53

Evaluate

∠1 = 127°

Also, we have

∠5 = 53°

By vertical angles, we have

∠2 = 53°

∠3 = 127°

Next, we have

∠4 = 127 - 90°

∠4 = 37°

Solving further, we have

∠6 = 90°

By corresponding angles, we have

∠7 = 37°

∠9 = 180 - 90 - 53°

∠9 = 37°

∠10 = 90 + 53°

∠10 = 143°

∠8 = 143°

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The two equations that have the same Solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p

To rewrite the equation 2.3p – 10.1 = 6.5p – 4 – 0.01p, we can combine like terms on the right-hand side:

2.3p – 10.1 = 6.5p – 4 – 0.01p

2.3p – 10.1 = 6.49p – 4

Next, we can simplify the expression on the right-hand side by rounding 6.49 to 6.5:

2.3p – 10.1 = 6.5p – 4

Now, we can use the properties of equations to find which equations have the same solution as the given equation. We can simplify each equation and check whether they are equivalent to the equation above.

Let's check the options:

2.3p – 10.1 = 6.4p – 4: This equation is not equivalent to the given equation because the constant term on the right-hand side is different.

2.3p – 10.1 = 6.49p – 4: This equation is equivalent to the given equation because it is obtained by simplifying the expression on the right-hand side.

230p – 1010 = 650p – 400 – p: This equation is not equivalent to the given equation because the coefficients of p on both sides are different.

23p – 101 = 65p – 40 – p: This equation is not equivalent to the given equation because the constant term on the right-hand side is different.

2.3p – 14.1 = 6.4p – 4: This equation is not equivalent to the given equation because the constant term on the right-hand side is different.

Therefore, the two equations that have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p

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The probability distribution for Y, the number of blue candies out of 5 chosen, follows the hypergeometric distribution, and the probability of exactly 2 of the 5 selected candies being blue is approximately 0.319.

The problem involves sampling without replacement from a finite population of candies, where the number of blue candies is fixed at 20 and the total number of candies is 120.

The probability distribution for Y, the number of blue candies out of 5 chosen, follows the hypergeometric distribution. This distribution is used when sampling without replacement from a finite population.

To calculate the probability that exactly 2 of the 5 selected candies are blue, we use the hypergeometric probability formula:

\(P(Y = k) = (C(k, m) * C(n-k, N-m)) / C(n, N)\)

where:

k is the number of blue candies (2 in this case),

m is the number of blue candies in the population (20),

n is the number of candies selected (5), and

N is the total number of candies in the population (120).

Plugging the values into the formula:

\(P(Y = 2) = (C(2, 20) * C(5-2, 120-20)) / C(5, 120)\)

Calculate the combinations using the formula: C(n, r) = n! / (r! * (n-r)!).

Evaluate the expression and compute the probability. The result is approximately 0.319.

Therefore, he probability distribution for the number of blue candies follows the hypergeometric distribution. The probability of exactly 2 of the 5 selected candies being blue is approximately 0.319, indicating that there is a relatively high chance of picking 2 blue candies out of the 5 selected.

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Hey there!

ORIGINAL EQUATION

x + x + x = 56

CONVERT/COMBINE the LIKE TERMS

1x + 1x + 1x = 56
2x + 1x = 56

NEW EQUATION

3x = 56

DIVIDE 3 to BOTH SIDES

3x/3 = 56/3

SIMPLIFY IT by canceling out 3/3 because it give you 1 & KEEP 56/3 because help solve for the x-value (it also give you the x-value result)

x = 56/3

x = 18.666667

x = 18 2/3

EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE ALL EQUIVALENT TO EACH OTHER

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Use the volume of a sphere formula and then multiply it by .5 to get half of it, since a hemisphere is half of a sphere. Doing that gives us the formula:

\(V=\frac{4}{3}\pi r^3\frac{1}{2}\) which simplifies to

\(V=\frac{2}{3}\pi r^3\) . Now, filling in what we were given:

\(45729=\frac{2}{3}\pi r^3\) which simplifies a bit to

\(137187=2\pi r^3\). We divide by 2π to get

\(2183.98918=r^3\) and take the cubed root on your calculator to get that

r = 27.9"

\(Volume= 45729in^3\\\\\)

\(Radius=r\)

\(2/3\pi r^3=45729\)

\(r^3=3*45729\\~~~~------\\~~~~~~2*3.14\)

\(r^3=21845.06\)

\(r=27.95~in\)

hope it helps...

have a great day!!

A LOD score is the ratio of probabilities that two genes are linked to the probability that they are not linked, expressed as a log10. This measure is commonly used in linkage analysis, a statistical method used to determine whether genes are located on the same chromosome and thus tend to be inherited together.

In linkage analysis, the LOD score is used to determine the likelihood that two genes are linked, based on the observation of familial inheritance patterns. A LOD score of 3 or higher is generally considered to be strong evidence for linkage, indicating that the likelihood of observing the observed inheritance pattern by chance is less than 1 in 1000.

The LOD score is also used to estimate the distance between two linked genes, with higher LOD scores indicating that the two genes are closer together on the chromosome. In general, the LOD score is a useful tool for identifying genetic loci that contribute to complex diseases or traits.

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QUESTION:

What is the slope of y=7x-2

ANSWER:

\(\green{{m = 7}}\)

EXPLANATION:

The slope-intercept form is \(\blue{{y = mx + b}}\) where \(\blue{{m}}\) is the slope and \(\blue{{b}}\) is the y-intercept

\(\green{{y = mx + b}}\)

Using the slope-intercept form, the slope is \(\blue{{7}}\)

\(\green{\boxed{m = 7}}\)

hope it's helps

Using the critical values of t=+/-2.201 is less likely to lead to rejection of the null hypothesis than using the critical values of +/-2.093.

Critical Value Definition -

Critical value can be defined as a value that is compared to a test statistic in hypothesis testing to determine whether the null hypothesis is to be rejected or not.

If the value of the test statistic is less extreme than the critical value, then the null hypothesis cannot be rejected.

Critical values are essentially cut-off values that define regions where the test statistic is unlikely to lie; for example, a region where the critical value is exceeded with probability \alpha if the null hypothesis is true.

Using the critical values of t=±2.201 is more "conservative" than using the critical value of ±2.093 because it is more likely to reject the null hypothesis using the greater value i-e t=±2.201.

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Answer:

the odds against Zahra climbing to the top are,

B. 4:1

Step-by-step explanation:

Since she has climbed 7 times in 28 attempts,

the probability of a successful climb is,

P = 7/28

P = 1/4

So, the odds against Zahra climbing to the top are 4:1

The numerical probability of Flora picking out a blue sock is 1 out of 6, or approximately 0.1667, or 16.67%.

To calculate the numerical probability of Flora picking out a blue sock, we need to consider the total number of socks and the number of blue socks in the drawer.

Given:

Total number of socks = 12

Number of red socks = 9

Number of blue socks = 2

Number of green socks = 1

The probability of Flora picking a blue sock can be calculated as the ratio of the number of blue socks to the total number of socks:

Probability of picking a blue sock = Number of blue socks / Total number of socks

Probability of picking a blue sock = 2 / 12

Simplifying the fraction, we get:

Probability of picking a blue sock = 1 / 6

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A binomial is a factor of a polynomial has been determined by using the

polynomial division method.

To determine if a binomial is a factor of a polynomial, you can use the polynomial division method. The basic idea is to divide the polynomial by the binomial and check if the remainder is zero. If the remainder is zero, then the binomial is a factor of the polynomial. Here's the step-by-step process:

Write the polynomial and the binomial in standard form, with the terms arranged in descending order of their exponents.

Perform the long division of the polynomial by the binomial, similar to how you would divide numbers. Start by dividing the highest degree term of the polynomial by the highest degree term of the binomial.

Multiply the binomial by the quotient obtained from the division and subtract the result from the polynomial.

Repeat the division process with the new polynomial obtained from the subtraction step.

Continue dividing until you reach a point where the degree of the polynomial is lower than the degree of the binomial.

If the remainder is zero, then the binomial is a factor of the polynomial. If the remainder is non-zero, then the binomial is not a factor.

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Answer:

The cost of a loaf of bread in 1983 to the nearest cent is  $0.89  

Step-by-step explanation:

The cost of the loaf of bread in 1983 can be computed using the below formula:

cost of a loaf of bread in 1983=$2.89/current CPI *100

cost of a loaf of bread in 1983=$2.89/323*100=$ 0.89  

It is obvious that the cost of a loaf of bread in the year 1983 is $0.89  

The function h(t) = (2t-3t^2)/(1+t^3) is continuous at a=1 because the limit of h(t) as t approaches 1 is equal to h(1).

First, we need to show that the limit of h(t) as t approaches 1 is equal to h(1).

Since h(t) = (2t-3t^2)/(1+t^3), we can rewrite the limit of h(t) as t approaches 1 as:

lim t->1 (2t-3t^2)/(1+t^3) = lim t->1 (2-3t)/(1+t^3)

We can now use the properties of limits to evaluate the limit.

Substituting t=1 into the expression for the limit, we have:

lim t->1 (2-3t)/(1+t^3) = (2-3(1))/(1+(1)^3) = -1/(2)

Now, we can use the definition of continuity to show that h(t) is continuous at a=1.

Since the limit of h(t) as t approaches 1 is equal to h(1), then h(t) is continuous at a=1.

Thus, we have successfully shown that the function h(t) = (2t-3t^2)/(1+t^3) is continuous at a=1.

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Answer:

60

Step-by-step explanation:

55+5 because y-axis rotate clockwise ; angle 1= angle 2

(suggest u to do an experiment on this ques )

Answer:

a(n)= 4*n+1

a(n+1)=5+4*n

Step-by-step explanation:

The sequence   5, 9, 13, 17 is the ariphmetic progression where a(1)=5 is the first member of the progression and the diference is d=9-5=4 (the distance between the neighboring members)

For ariphmetic progression is known that n- term is equal to

a(n)=a(1)+d*(n-1)

So for our case

a(n)=5+4(n-1)=5+4n-4=4n+1

a(n+1)= 5+4(n+1-1)= 5+4n

Answer:

$3.2

Step-by-step explanation:

We have to determine the price per mile. To do this divide $0.60 by 15

$0.60 / 15 = 0.04

Cost of driving on an 80 mile stretch = price per mile x total miles ddriven

$0.04 x 80 = $3.2

We will try to leave the letter \(r\) alone by modifying the given equation.

This equation is defined with the following expressions.

Ans: \(r=\frac{3t}{t-1}\)

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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Based on the provided information of speed, A) Beth gets to San Francisco first. B) The first to arrive has to wait for 20 minutes for the second to arrive.

A) To find out who gets to San Francisco first, we need to calculate the time it takes for each of them to travel the distance of 400 miles.

For Brian, we use the formula time = distance / speed:

time = 400 miles / 50 mph = 8 hours

So Brian will arrive in San Francisco at 4:00 p.m. (8:00 a.m. + 8 hours).

For Beth, we use the same formula:

time = 400 miles / 60 mph = 6.67 hours

So Beth will arrive in San Francisco at 3:40 p.m. (9:00 a.m. + 6.67 hours).

Therefore, Beth gets to San Francisco first.

B) To find out how long the first to arrive has to wait for the second, we subtract the arrival time of the first from the arrival time of the second:

wait time = 4:00 p.m. - 3:40 p.m. = 0.33 hours = 20 minutes

So the first to arrive has to wait for 20 minutes for the second to arrive.

Note: The question is incomplete. The complete question probably is: Brian leaves Los Angeles at 8:00 a.m. to drive to San Francisco, 400 miles away. He travels at a steady speed of 50 mph. Beth leaves Los Angeles at 9:00 a.m. and drives at a steady speed of 60 mph. A) Who gets to San Francisco first? B) How long does the first to arrive have to wait for the second?

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The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

Answer:

a + h + f + 344 = 2f +3 + 333h

Step-by-step explanation:

(Even though that equation has no sense that is what you would get.)

Answer:

Step-by-step explanation:

h =1                  86

---------- Sa + ------------

332 .                83

Answer:4 1/6

Step-by-step explanation:

The natural log-transformation is among the common transformations of variables to accommodate non-linear relationships in a linear regression model.

There are several transformations of variables to accommodate non-linear relationships in a linear regression model. Three of the common ones are: The natural log-transformation.For a given predictor X, we can create an additional predictor X² to accommodate a quadratic relationship between X and Y.For a given predictor X, we can create an additional predictor X³ to accommodate a cubic relationship between X and Y.Therefore, the natural log-transformation is among the common transformations of variables to accommodate non-linear relationships in a linear regression model. The natural log transformation is the one that's most frequently employed. It changes the distribution of a variable to make it more normal and decrease the impact of outliers. It is common for continuous predictors with right-skewed or exponential distributions, such as income, expenditures, or time. This transformation is most frequently used to help correct non-normal distributions and to correct heterogeneity of variance.

So, the natural log-transformation is among the common transformations of variables to accommodate non-linear relationships in a linear regression model.

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The normal approximation to the binomial distribution also implies that the sampling distribution of p is roughly bell-shaped, as the normal distribution is. Therefore, the answer is A) The shape.

The sampling distribution of the proportion is the distribution of all possible values of the sample proportion that can be calculated from all possible samples of a certain size taken from a particular population in statistical theory. The state of the examining dispersion of p is generally chime molded, as it is an illustration of a binomial conveyance with enormous n and moderate p.

The example size (n=900) is sufficiently enormous to legitimize utilizing an ordinary guess to the binomial dissemination, as indicated by as far as possible hypothesis. In order for the binomial distribution to be roughly normal, a sample size of at least 30 must be present, which is achieved.

Subsequently, the examining dispersion of p can be thought to be around ordinary with a mean of 0.532 and a standard deviation of roughly 0.0185 (involving the equation for the standard deviation of a binomial distribution).The typical estimate to the binomial dissemination likewise infers that the inspecting conveyance of p is generally chime molded, as the ordinary circulation is. As a result, A) The shape is the response.

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Answer:

if its 8 to 5 then 16 is 10

answer: 10 miles

Answer:

10 miles

Step-by-step explanation:

8 km = 5 miles

So, Let's use the unitary method

1 km = \(\frac{5}{8}\) miles

Multiplying both sides by 16, we get

16 km = \(\frac{5}{8} * 16\) miles

16 km = 5 × 2 miles

16 km = 10 miles

Using compound interest formula when the CD matures on Melissa's 14th birthday, there will be $3187.69 available.

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

Use the formula for compound interest to calculate the amount of money that will be available when the CD matures -

\(A = P(1 + r/n)^(nt)\)

Where A is the amount of money available when the CD matures, P is the initial principal, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, the initial principal is $2000, the interest rate is 6%, and the CD will be held for 8 years (from Melissa's 6th to 14th birthday).

It is not given how many times per year the interest is compounded, so assume it is compounded annually.

Using these values in the formula -

\(A = $2000(1 + 0.06/1)^(1*8)A = $2000(1.06)^8A = $3187.69\)

Therefore, the value is obtained as $3187.69.

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Answer:

Step-by-step explanation:

See the steps below:

Find the LCM of 14, 21, 18 and 27:

Solve the fractions:

The answer is:

\(\\ \sf\longmapsto \dfrac{-ab^2}{14}+\dfrac{ab^2}{21}+\dfrac{ab^2}{18}-\dfrac{ab^2}{27}\)

\(\\ \sf\longmapsto \dfrac{-27ab^2+18b^2+21ab^2-14ab^2}{378}\)

\(\\ \sf\longmapsto \dfrac{-2ab^2}{378}\)

\(\\ \sf\longmapsto \dfrac{-ab^2}{189}\)

Answer:

Step-by-step explanation:

I hope you want the area.

Area = L * W

L = 24x^3

W = 5x^2

Area = 24x^3 * 5x^2

Area = 120 * x^(3 + 2)

Area = 120 * x^5

Note

When you multiply numbers or letters that have powers, if the base for both of them is the same, the powers are added.

The above answer is an example x^2 * x ^3 are letters (x) that are raised to the 2nd power and the 3rd power. You add the powers.

Numbers can do the same thing

64 * 8 = 256

The equation of the tangent plane to the given sphere at (3, 2, 1) is 2x + 4y + 6z - 24 = 0.

To find the equation of the tangent plane to a sphere at a given point, we need to first find the gradient vector of the sphere's equation at that point. The gradient vector represents the direction of steepest ascent of the sphere's equation at that point.

The equation of the given sphere is x^2 + y^2 + z^2 + 2x + 4y + 6z - 34 = 0. Taking the partial derivatives with respect to x, y, and z, we get the gradient vector as (2x + 2, 2y + 4, 2z + 6).

Substituting the coordinates of the given point (3, 2, 1) into the gradient vector, we get (2*3 + 2, 2*2 + 4, 2*1 + 6) = (8, 8, 8).

Therefore, the equation of the tangent plane is of the form 8(x - 3) + 8(y - 2) + 8(z - 1) = 0, which simplifies to 2x + 4y + 6z - 24 = 0.

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