Express the ratio below in it’s simplest form

3.5:2.5

The company's ending inventory on March 20, using the averaging method, would be $75.

Based on the information given, the company purchased a total of 20 footballs - 10 for $5 each and 10 for $7 each. The total cost of these purchases would be (10 * $5) + (10 * $7) = $50 + $70 = $120.

Since the company sold 9 footballs on March 20, the cost of the sold footballs would be 9 * $5 (as per the averaging method). Therefore, the cost of the sold footballs is $45.

To calculate the ending inventory, we subtract the cost of the sold footballs from the total cost of the purchases. Thus, the ending inventory would be $120 - $45 = $75.

In conclusion, the company's ending inventory on March 20, using the averaging method, would be $75.

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To find when half of the population of bacteria will be left given a decay rate of -17% per hour, you can use the formula for exponential decay:

Final Population = Initial Population * (1 + Decay Rate)^Time

In this case, you want to find the time when half of the population is left, so:

0.5 * Initial Population = Initial Population * (1 - 0.17)^Time

Now, you can solve for Time:

0.5 = (1 - 0.17)^Time
0.5 = 0.83^Time

To solve for Time, you can take the logarithm of both sides of the equation:

log(0.5) = log(0.83^Time)

Using the logarithm property, you can move Time to the front of the equation:

log(0.5) = Time * log(0.83)

Finally, solve for Time by dividing both sides by log(0.83):

Time = log(0.5) / log(0.83)

After calculating, you'll find that Time ≈ 3.94 hours. So, it will take approximately 3.94 hours for half of the bacterial population to be left, given a decay rate of -17% per hour.

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The blanks are filled as follows

Step one

Equation 2x + y = 18 Isolate y,

y = 18 - 2x

Step Two:

Equation 8x - y = 22, Plug in for y

8x - (18 - 2x) = 22

Step Three: Solve for x by isolating it

8x - (18 - 2x) = 22

8x - 18 + 2x = 22

8x + 2x = 22 + 18

10x = 40

x = 4

Step Four: Plug what x equals into your answer for step one and solve

y = 18 - 2x

y = 18 - 2(4)

y = 18 - 8

y = 10

So the solution to the system of equations is x = 40 and y = 10

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By answering the presented question, we may conclude that I used the following procedures to produce this graph.

Mathematicians use graphs to visually display or chart facts or values in order to express them coherently. A graph point usually represents a connection between two or more items. A graph, a non-linear data structure, is made up of nodes (or vertices) and edges. Glue the nodes, also known as vertices, together. This graph contains vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical graphs (bar graphs, pie graphs, line graphs, and so on) are graphical representations of exponential development. a logarithmic graph shaped like a triangle.

I used the following procedures to produce this graph:

I classified the personnel as full-time, part-time, and temporary.

I estimated the proportion of employees who assessed the company's work-life balance as "very good" or "excellent" for each employee category, as well as the percentage who rated it as "good" or "fair/poor."

I used the following procedures to produce this graph:

I classified the personnel as full-time, part-time, and temporary.

I estimated the proportion of employees who assessed the company's work-life balance as "very good" or "excellent" for each employee category, as well as the percentage who rated it as "good" or "fair/poor."

I made the segmented bar graph using these percentages.

The graph was made using Excel technology. You may make a similar graph with Excel or any other software that supports segmented bar graphs.

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The value of x in the trapezoid is 117°.

A trapezoid is a quadrilateral a four-sided polygon with two parallel sides and two non-parallel sides. The parallel sides are called the bases of the trapezoid, and the non-parallel sides are called the legs.

In a trapezoid, the opposite angles are supplementary. Therefore, we can set up an equation:

x + 63° = 180°

Solving for x, we get:

x = 180° - 63° = 117°

Therefore, the value of x in the trapezoid is 117°.

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Answer:

\(\displaystyle 12 + w\)

Explanation:

Just combine like-terms to arrive at your answer:

\(\displaystyle \boxed{12 + w} \Rightarrow [w + 9] + 3\)

I am joyous to assist you at any time.

The expected value of the continuous random variable V is 5. The expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.

To calculate the expected value of a continuous random variable V with a given probability density function (PDF), we integrate the product of V and the PDF over its entire range.

The PDF of V is defined as:

f(v) = 6/24 = 0.25 for 3 ≤ v ≤ 7, and 0 otherwise.

The expected value of V, denoted as E(V), can be calculated as:

E(V) = ∫v * f(v) dv

To find the expected value, we integrate v * f(v) over the range where the PDF is non-zero, which is 3 to 7.

E(V) = ∫v * (0.25) dv, with the limits of integration from 3 to 7.

E(V) = (0.25) * ∫v dv, with the limits of integration from 3 to 7.

E(V) = (0.25) * [(v^2) / 2] evaluated from 3 to 7.

E(V) = (0.25) * [(7^2 / 2) - (3^2 / 2)].

E(V) = (0.25) * [(49 / 2) - (9 / 2)].

E(V) = (0.25) * (40 / 2).

E(V) = (0.25) * 20.

E(V) = 5.

Therefore, the expected value of the continuous random variable V is 5.

The expected value represents the average value or mean of the random variable V. It is the weighted average of all possible values of V, with each value weighted by its corresponding probability. In this case, the expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.

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a) X is an unbiased estimator of p. b) The Var(X) is p(1-p)/n. c) The E[X(1-X)] is (n-1)[p(1-p)/n]. d) The value of c is c = 1/(n-1).

(a) To show that X = Y/n is an unbiased estimator of p, we need to show that E[X] = p.

Since Y is a sum of n iid Bern(p) random variables, we have E[Y] = np.

Now, let's find the expected value of X:

E[X] = E[Y/n] = E[Y]/n = np/n = p.

Therefore, X is an unbiased estimator of p.

(b) To find the variance of X, we'll use the fact that Var(aX) = a^2 * Var(X) for any constant a.

Var(X) = Var(Y/n) = Var(Y)/n² = np(1-p)/n² = p(1-p)/n.

(c) To show that E[X(1-X)] = (n-1)[p(1-p)/n], we expand the expression:

E[X(1-X)] = E[X - X²] = E[X] - E[X²].

We already know that E[X] = p from part (a).

Now, let's find E[X²]:

E[X²] = E[(Y/n)²] = E[(Y²)/n²] = Var(Y)/n² + (E[Y]/n)².

Using the formula for the variance of a binomial distribution, Var(Y) = np(1-p), we have:

E[X²] = np(1-p)/n² + (np/n)² = p(1-p)/n + p² = p(1-p)/n + p(1-p) = (1-p)(p + p(1-p))/n = (1-p)(p + p - p²)/n = (1-p)(2p - p²)/n = 2p(1-p)/n - p²(1-p)/n = 2p(1-p)/n - p(1-p)²/n = [2p(1-p) - p(1-p)²]/n = [p(1-p)(2 - (1-p))]/n = [p(1-p)(1+p)]/n = p(1-p)(1+p)/n = p(1-p)/n.

Therefore, E[X(1-X)] = E[X] - E[X²] = p - p(1-p)/n = (n-1)p(1-p)/n = (n-1)[p(1-p)/n].

(d) To find the value of c such that cX(1-X) is an unbiased estimator of p(1-p)/n, we need to have E[cX(1-X)] = p(1-p)/n.

E[cX(1-X)] = cE[X(1-X)] = c[(n-1)[p(1-p)/n]].

For unbiasedness, we want this to be equal to p(1-p)/n:

c[(n-1)[p(1-p)/n]] = p(1-p)/n.

Simplifying, we have:

c(n-1)p(1-p) = p(1-p).

Since this should hold for all values of p, (n-1)c = 1.

Therefore, the value of c is c = 1/(n-1).

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Answer: $79.95

Step-by-step explanation:

65 × 0.18 = 11.7

65 × 0.05 = 3.25

11.7 + 3.25 = 14.95

14.95 + 65 = $79.95

Answer: to scale the base units so that they can represent anything from a very large numeric value

Step-by-step explanation:

to scale the base units so that they can represent anything from a very large numeric value

Using hypothesis test, the professor's finding of an average of 2.7 classes supports the belief that the number is less than 3, contradicting the president's claim.

To determine if the data confirms or denies the president's claim, a hypothesis test can be conducted. The null hypothesis (H₀) would state that the average number of classes taught by professors in the U.S. is 3, while the alternative hypothesis (H₁) would state that it is less than 3.

Using the sample data, a one-sample t-test can be performed with a significance level (α) chosen, such as 0.05. If the test statistic falls within the critical region (rejecting the null hypothesis), it would suggest that the professor's finding of an average of 2.7 classes supports the belief that the number is less than 3, contradicting the president's claim.

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Answer:

Yes

Step-by-step explanation:

\(6\) × \(5 = 30\)

\(4\) × \(5 = 20\)

\(30 + 20 = 50\)

\(84-50=34\)

Yolanda can purchase 5 pairs of mittens and 5 scarves and still have $34 leftover.

Answer:

Dependent

Step-by-step explanation:

Two events are said to be dependent when the outcome of the first event is  related to the other.

When two events, A and B are dependent, the probability of occurrence of A and B is:

P(A and B) = P(A) · P(B|A)

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Two events are dependent if the occurrence of one is related to the probability of the occurrence of the other.

If two events A and B depend on each other, then the probability  of A and B occurring is

P(A and B) = P(A)  P(B|A)

Two events are dependent if the occurrence of one is related to the probability of the occurrence of the other.

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Answer:

So the slope would equal 2

The y  intercept would be 3

the equation is y = 2x+3

Step-by-step explanation:

hoped that helped

Answer: undefined

Step-by-step explanation:

Answer:

um.. the answer is "0"

Step-by-step explanation:

Answer:

Janet uses less than 4 cups of flour because is less than 4.

Step-by-step explanation:

She is using 3/8 of 4 so less than. Then you use 4 not 1 because there is 4 cups.

Answer:

She uses less than four cups because 3/8 (1.5) is less than 4.

Step-by-step explanation:

the awnser is                          X = 7                     imple numerical terms are commonly written last.

In order to solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation.

In our example,

- term , will be moved to the right side.

Notice that a term changes sign when it 'moves' from one side of the equation to the other.

We need to get rid of expression parentheses.

If there is a negative sign in front of it, each term within the expression changes sign.

Otherwise, the expression remains unchanged.

In our example, there are no negative expressions.

X = 7

Answer:

c) 7

Step-by-step explanation:

Given that,

→ 12 - x = 5

Let's solve the problem,

→ 12 - x = 5

→ x = 12 - 5

→ [ x = 7 ]

Hence, the value is 7.

(a) the general solution of the nonhomogeneous ODE is y(x) = c1e^(-3x) + c2e^x + 2 + (3x + 4)e^x, where c1 and c2 are arbitrary constants.

(b) the weight of the original mass on the spring was 72 lb.

a) To find the general solution of the nonhomogeneous ODE y" + 2y' - 3y = 1 + xe^x, we first find the general solution of the associated homogeneous equation, which is y_h'' + 2y_h' - 3y_h = 0. The characteristic equation is r^2 + 2r - 3 = 0, which has roots r = -3 and r = 1. Therefore, the general solution of the homogeneous equation is y_h(x) = c1e^(-3x) + c2e^x, where c1 and c2 are arbitrary constants.

To find the particular solution, we assume a particular form for y_p(x) based on the nonhomogeneous terms. For the term 1, we assume a constant, and for the term xe^x, we assume a polynomial of degree 1 multiplied by e^x. Solving for the coefficients, we find y_p(x) = 2 + (3x + 4)e^x.

Thus, the general solution of the nonhomogeneous ODE is y(x) = c1e^(-3x) + c2e^x + 2 + (3x + 4)e^x, where c1 and c2 are arbitrary constants.

b) To find the weight of the original mass on the spring, we can use the formula for the period of an undamped spring/mass system, T = 2π√(m/k), where T is the period, m is the mass, and k is the spring constant.

Initially, with the original weight on the spring, the period is 3 seconds. Let's denote the original mass as m1. Therefore, we have 3 = 2π√(m1/k).

When 8 lb is removed from the spring, the period becomes 2 seconds. Denoting the new mass as m2, we have 2 = 2π√((m1 - 8)/k).

Dividing the second equation by the first, we get (2/3)² = [(m1 - 8)/k] / (m1/k), which simplifies to 4/9 = (m1 - 8) / m1.

Solving for m1, we have m1 = 72 lb.

Therefore, the weight of the original mass on the spring was 72 lb.


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Answer:

5

Step-by-step explanation:

angles in a triangle will alwasy equal 180*

75+69=144

180-144=36

now you need to find what number subed for x will = 36  

7(5)+1=       35+1=36

good luck and hoped this helped

Answer:

4.20

Step-by-step explanation:

hope this helps

Answer:

13/24

Step-by-step explanation:

3/8 + 1/6

We need to get a common denominator of 24

3/8 *3/3 + 1/6*4/4

9/24 + 4/24

13/24

Answer:

6)180-99=81

81+43=124

180-124=56

b=56

The median is the value that separates the higher half from the lower half of a data set.

To find the median, first, write the number in ascending order.

22, 43, 100, 102, 108

Since there are 5 numbers in the data set, the median is the 3th number.

Then, the median is 100.

Answer: 100.

The answer to the question is A: 0.96 centimeters

\(\frac{2}{5}\) of 1.6 is 0.64

If you subtract 0.64 from 1.6 you get 0.96, \(\frac{3}{5}\) of 1.6

Answer:

Step-by-step explanation:

we find the area of ​​the rectangle with the formula WxL

7 x 4 = 28 m^2

we find the area of ​​the triangle with the formula 1/2 b x h

1/2 7 x 4 =

3.5 x 4 = 14 m^2

we add the two areas

28 + 14 = 42m^2   (your answer)

Answer:

An easy way to understand math easily is to study math more and do it more.

Answer:

More practice & write down every step.

Step-by-step explanation:

Answer:

Step-by-step explanation:

ratio and proportion:

28 photos    =    21  photos

8 min                     x min.

21 (8) = 28 (x)

x = 168 / 28

x = 6 min.

Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

Step-by-step explanation:

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