University degree requirements typically are different for Bachelor of Science degrees and Bachelor of Arts degrees. Some students get a Bachelor of Arts and Science degree, which requires meeting graduation criteria for both degrees. A student advisor needs to know the probability a newly admitted student is interested in such a program, so that the student can be properly advised. A study of previous years finds that the probability a student gets a Bachelor of Science degree is P(Science)=0.3 and the probability a student gets a Bachelor of Arts degree is P(Arts)=0.6 . The study also shows that the probability a student gets no degree is P(no)=0.2 .
A - The probability a student gets a Bachelor of Arts and Science degree is:
a) 0.3.
b) 0.6.
c) 0.1.
d) 0.2.
B - The probability a student gets a Bachelor of Arts degree or a Bachelor of Science degree is:
a) 0.9.
b) 0.3.
c) 0.6.
d) 0.8.
C - The probability a student gets only a Bachelor of Arts degree is:
a) 0.1.
b) 0.5.
c) 0.3.
d) 0.6.
D - The probability a student gets a Bachelor of Arts and Science degree is:
a) 0.5.
b) 0.1.
c) 0.3.
d) 0.2.
E - If getting a Bachelor of Science degree is independent of getting a Bachelor of Arts degree, the probability of getting a Bachelor of Arts and Science degree is:
a) None of the answer options are correct.
b) 0.18.
c) 0.1.
d) 0.2.

It takes 10 weeks to empty the lake.

To solve this problem, we can set up a rate equation.

Let's denote the rate at which the officials are releasing water as R and the rate at which the river is replenishing the lake as F.

We are given that the officials are releasing water at a rate that would empty the lake in 6 weeks, so we can say:

\(R=\frac{1}{6}\)

Similarly, we are given that the river can fill the lake in 15 weeks, so:

\(F= \frac{1}{15}\)

Now, let's find the net rate of change of the water level in the lake.

The officials are releasing water, so the rate of change is negative.

The river is replenishing the lake, so the rate of change is positive.

Therefore, the net rate of change is:

\(Net Rate = F - R\)

\(Net Rate =\frac{1}{15} -\frac{1}{6}\)

\(Net Rate = \frac{(2 - 5)}{30}\)

\(Net Rate = \frac{-3}{30}\)

\(Net Rate = \frac{-1}{10}\)

The negative sign indicates that the water level is decreasing.

Now, we need to find the time it takes to empty the lake, which is the time it takes for the water level to decrease from full to zero.

Let's denote this time as T.

Since the net rate of change is given by \(\frac{-1}{10}\), we can write:

\((\frac{-1}{10} )\times T=1\)

Solving for T, we find:

\(T= \frac{-1}{\frac{-1}{10} }\)

\(T = 10\)

Therefore, it takes 10 weeks to empty the lake.

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Answer:

The age of the person who entered the room is 15

Step-by-step explanation:

We are given:

Ages of 5 people in a room are:

17, 16, 15, 17, 22

A person enters room, and then the mean age of 6 people is 17.

We need to find the age of person who entered the room.

The formula to calculate mean is: \(Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}\)

Now, in question we are given mean of 6 people that is 17

The age of 5 people are given while age of one person who enters the room is unknown.

Let age of person whose age is unknown= x

Now finding x using mean formula

\(Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}\\17=\frac{17+16+ 15+ 17+ 22+x}{6}\\17=\frac{87+x}{6}\\17*6=87+x\\102=87+x\\x=102-87\\x=15\)

So, The value of x: x=15

Hence, the age of the person who entered the room is 15

The size of a triangle side is proportional to its opposite angle. The largest side is opposite to the largest angle while the smallest side is opposite to the smallest angle.

An equation is an expression that shows the relationship between two or more numbers and variables.

The size of a triangle side is proportional to its opposite angle. The largest side is opposite to the largest angle while the smallest side is opposite to the smallest angle.

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The reason why  she have a mean smirk when accusing you is that she was sending a suggestive message to the teacher because she felt self-satisfied about it.

You got accused by her because you were laughing and it was suspicious.

You felt feel self conscious about my butt after the whole class started laughing because you were now the prime suspect, and all attention is on you making you uncomfortable and guilty.

The reason why you were being suspected was that you laughed, and this invoke the emotional judgement of the members of the class on you.

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Since the calculated F-value of 7.098 is greater than the critical value of 5.79, we reject the null hypothesis and conclude that the population variance of total sales during active price competition is higher than during duopoly and tacit collusion at the 5% level of significance.

For the above issue, the null and alternate hypotheses are as follows:

The population variations of total sales under duopoly, active price competition, and tacit cooperation are all identical.

In contrast to duopoly and implicit collusion, total sales population variance is larger under active price competition.

To test the null  hypothesis, we must use a two-tailed F- test with a 5 % threshold of significance. The ratio of the sample variances is used to determine the F- statistic.

F = s1² / s2²

Where:
s1² - Sample Variance (Active price competition)

s2² -  SAmple variance (Duopoy and Tacit collusion)


Since n1-1 = 3
and n2-1 = 6

F = 114.09 / 16.08
F = 7.098

Having derived same, we know that the critical values of F for a two-tailed test with 3 and 6 degrees of freedom at 5% level of significance are:

Critical Value (3) = 5.14
Critical Value (6) = 5.79

Therefore, since the F-value > Critical Value in both cases, we must reject the null hypothesis.

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The rate of change of the simple index over one day is approximately 12.78%.

To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.

On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:

Total value of Stock A on Monday = 5000 * $2.75 = $13,750

Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:

Total value of Stock B on Monday = 3000 * $4.30 = $12,900

The total value of the index on Monday is the sum of the values of Stock A and Stock B:

Total value of the index on Monday = $13,750 + $12,900 = $26,650

On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.

The total value of Stock A on Tuesday is:

Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500

The total value of Stock B on Tuesday is:

Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550

The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:

Total value of the index on Tuesday = $15,500 + $14,550 = $30,050

To calculate the percent change in the index, we use the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%

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Answer:

B

Step-by-step explanation:

Maria has $5.00 more than José

Maria, M

Jose, j

M = j + $5

j + M = $37.50

j + j + $5 = $37.50

The amount of money José has is $16.25.

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Maria has $5.00 more than José.

Together they have. $37.50.

Let, the amount of money José has be x.

Based on the given conditions, formulate:

\(\rm 5+2\times x=37.50\\\\5+2x=37.50\\\\2x=37.50-5\\\\2x=32.50\\\\x=\dfrac{32.50}{2}\\\\x= 16.25\)

Hence, the amount of money José has is $16.25.

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Radius: 6√3 inches. Perimeter: 72 inches.

The exact length of the perimeter of regular hexagon ABCDEF:

To find the perimeter of a regular hexagon, we need to multiply the length of one side by 6 since a hexagon has six equal sides. The length of one side can be determined using the formula:

Side length = 2 * apothem * tan(π/6)

Substituting the given apothem length of 6√3 inches, we have:

Side length = 2 * (6√3) * tan(π/6)

Simplifying the equation:

Side length = 12√3 * √3/3

Side length = 12 inches

Now, we can calculate the exact length of the perimeter:

Perimeter = Side length * 6

Perimeter = 12 inches * 6

Perimeter = 72 inches

Therefore, the exact length of the perimeter of regular hexagon ABCDEF is 72 inches.

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Answer:

i didnt see a screenie

Step-by-step explanation:

To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:

Refer to the attachment below.

There are three pairs of faces on a rectangular prism:

8 cm × 3 cm = 24 cm²

Since there are two of these faces, the total area is:

2 × 24 = 48 cm²

8 cm × 6 cm = 48 cm²

Since there are two of these faces, the total area is:

2 × 48 = 96 cm²

3 cm × 6 cm = 18 cm²

Since there are two of these faces, the total area is:

2 × 18 = 36 cm²

Now, add up the areas of all six faces:

Surface Area = 48 + 96 + 36 = 180 cm²

So, the surface area of the rectangular prism is 180 cm².

________________________________________________________

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Answer:

Step-by-step explanation:

28/100 = 14/50= 7/25

Answer:

28% = 7/25

Step-by-step explanation:

Percent means "per hundred"

Then:

28% = 28/100

= 14/50

= 7/25

Answer:

\( x = 5 \)

Step-by-step explanation:

Given that segment EJ bisects angle DEF, it implies that angle DEF is divided into two equal angles, namely, angle DEJ = 5x + 7, and angle JEF = 8x - 8.

To find the value of x, let's derive an equation by setting m<DEJ equal to m<JEF, since both are equal parts of angle DEF bisected by segment EJ.

Thus:

\( 5x + 7 = 8x - 8 \)

Solve for x

\( 5x + 7 - 8x = 8x - 8 - 8x \) (subtracting 8x from both sides)

\( -3x + 7 = - 8 \)

\( -3x + 7 - 7 = - 8 - 7 \) (Subtracting 7 from both sides)

\( -3x = -15 \)

\( \frac{-3x}{-3} = \frac{-15}{-3} \) (dividing both sides by -3)

\( x = 5 \)

Eu faço a mínima ideia fico

Answer:

la respuesta es la letra B amigo mio

The data from lowest to highest is,

There are 9 number of observations in the data. So median value of the data is, (n+1)/2, which is equal to

The 5th term from starting is 25. So median value is 25.

The upper Quartile (or third quartile) is median value of upper half of the data. The upper half of data is, 32,40,44,48.

There are 4 observations in upper half. So median value of upper half is average value of (n/2)th term and (n/2 + 1)th term.

The value of n/2 and n/2 + 1is,

The second and third term of upper half of data is 40 and 44.

Determine the average value of 40 and 44.

Answer:

4/25 foot²

Step-by-step explanation:

Refer to attachment*

Consider the attachment first for a better understanding, now after considering the attachment you will gotta know that, the height of the parallelogram is just same as the width of the rectangle i.e (2/5) foot and but for the base of the parallelogram we can subtract the base of one triangle from the length of the rectangle, so it will give us (3/5) - (1/25) = (2/5), so now we have breadth as well as height of the parallelogram, so now, as area of a parallelogram is given by it's height times it's base, so we will be having

\({:\implies \quad \sf Area_{(Parallelogram)}=\dfrac{2}{5}\times \dfrac25}\)

\({:\implies \quad \boxed{\bf{Area_{(Parallelogram)}=\dfrac{4}{25}\:\: sq.\:\:foot}}}\)

Hence, Option D) is correct

Well, we have another method for it, we can subtract the area of both the triangles from the area of rectangle, and now,as their base of the triangle is (1/5) foot and height is same as the width of rectangle i.e (2/5) foots, so its area will be (1/2) times base times height, but as here are two triangles, so multiplying the area of one triangle by 2 will vanish 2, so now we just have

\({:\implies \quad \sf Area_{(Parallelogram)}=\bigg(\dfrac{2}{5}\times \dfrac{3}{5}\bigg)-\bigg(\dfrac{1}{5}\times \dfrac{2}{5}\bigg)}\)

\({:\implies \quad \sf Area_{(Parallelogram)}=\dfrac{6}{25}-\dfrac{2}{25}}\)

\({:\implies \quad \boxed{\bf{Area_{(Parallelogram)}=\dfrac{4}{25}\:\: sq.\:\:foot}}}\)

This also, proves that the correct answer is D)

C, 80 square feet.

Have a nice day!

y > 9 1/3

Explanation:

Let the number = y

Two times a number = 2y

half the number = 1/2 (y) = y/2

half that number and 14 = y/2 + 14

Two times a number is greater than half that number and 14:

2y > y/2 + 14

we solve for y:

2y > y/2 + 14

2y - y/2 > 14

3y > 28

y > 28/3

y > 9 1/3

Answer:

L = ½ × pedestal × tall

L = ½ × ( 10 × 10 ) × ( 10 × 10 )

L = ½ × 100 × 100

L = 100/2 × 100

L = 10.000/2

L = 10.000 ÷ 2

L = 5.000 Cm³

here's half of them:

1: 15 - (3r) = 6

2: q + 4f = 29

3: \(n^{2}\) + 12 = p/4

4: 0.5j - 5 = k + 13

for the rest, just know that:

sum means addition

times/product means multiplying

quotient means division

less than means subtraction

Pressure is force per unit area. If the block is sitting at rest on the surface, it applies a pressure of mg/A, where mg is the block's weight and A is the area of the face that makes contact with the surface.

The smaller the value of A, the larger the pressure. So the highest pressure the block can exert is achieved when it's resting on the face with the smallest dimensions.

If the block is a cube with side length 95 cm, then the pressure exerted by each face is the same.

Answer:

0.00793650794 or 8/7 in fraction form

Step-by-step explanation:

Find the reciprocal of the divisor

Answer:

Step-by-step explanation:

The general form of an absolute value function is

It opens up if a> o and opens down if a < 0

From the given functions:

see attached for reference

The revised Doubtful Debts Provision should be, $4,555.

Now, Using a net debtors value of $91,100 and a provision rate of 5%, use the calculation to get the adjusted Provision for Doubtful Debts (PDD):

Net Debts x Provision Rate equals Adjusted PDD.

The computation would then be:

= $91,100 x 0.05

= $4,555 is the adjusted PDD.

Because of the additional $550 in bad debt and the revised net debtors value of $91,100, the Provision for Doubtful Debts must be raised by ,

= $4,555 - $3,500

= $1,055

Hence, The revised Doubtful Debts Provision should be $4,555.

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A graph of the piecewise function is shown on the coordinate plane in the image attached below.

In Mathematics and Geometry, a piecewise-defined function is a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce the following inequality rules for its domain;

x < 1 represents a hollow dot.

x = 1 represents a solid dot.

x > 1 represents a hollow dot.

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Answer:

y=11x

Step-by-step explanation:

we use formula y2-y1/x2-x1 with 2 of the order pairs

22-11/2-1

11/1

11 is the slope

We find y intercept by finding when x is equal to zero and we subtract 11 until we find the 0 x unit since it goes down 11 every time

When x is zero y is zero so we write it like this

Y=11x

Hopes this helps please mark brainliest

Answer:

13

Step-by-step explanation:

2+1=21-13=13

Inequalities are used to represent unequal expressions.

The inequality that represents the situation is \(p \ge 150\)

The amount Celia has is at least $150.

The term "at least" in inequalities means "greater than or equal to"

So, the inequality would be:

\(p \ge 150\)

Hence, the inequality that represents the situation is \(p \ge 150\)

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Answer:

Second, third, and fourth lines listed

Step-by-step explanation:

We check which lines give y = 0 when x = 6

First option does not FALSE

Second option: y = 2 (6) - 12 = 0 TRUE

Third line: 4 (6) - 6 y = 24 , then 24 - 6y = 24 Then -6 y = 0, then y = 0 TRUE

Fourth line: y + 10 = 2((6) - 1) then y + 10 = 2 * 5 then y = 10 - 10 = 0  TRUE

Fifth line: 2 (6) - y = 6 then 12 - y = 6 then 6 = y  FALSE

Sixth line: 9 (6) - 6 y = 36  then 54 - 6 y = 36 then 6 y = 18 and y = 3  FALSE

Answer:

Step-by-step explanation:

Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

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