If a fair, six-sided die is rolled twice, what is the probability it will land on 1 and then 6?
O 3.57%
O:33.33%
O 16.67%
O2.78%

Answer:

$35.70

Step-by-step explanation:

small package: 2.10×6=12.60

large package: 3.30×7=23.10

total: 23.10+12.60=35.70

Answer:

c. $324

Step-by-step explanation:

The solution is,

A) 83/400= 0,2075

B) 100/400=0,25

C) 42/400= 0,105

D) 42/100= 0,42

E) The special training program was effective.

Division can be stated as the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Explanation:

Total population= 400 salespeople

Received a bonus last year= 83 salespeople

Attended a special sales training program= 100 salespeople

Both attended sales training and received a bonus= 42 salespeople

a) You need to calculate the number of salespeople that receive a bonus over total population

83/400= 0,2075 The proportion of salespeople that receive a bonus is 0,2075

b) You need to calculate the number of salespeople that attended a special program over total population

100/400= 0,25 The proportion of salespeople that attended a special program is 0,35

c) 42/400= 0,105  The proportion of salespeople that receive a bonus and attended a special program is  0,105

d) You need to calculate the proportion of people that having attended received a bonus.

42/100= 0,42  The proportion of salespeople that receive a bonus having attended a special program is  0,42

e) The special training program was effective. The proportion of people that receive a bonus over the total population that didn't attend the program (41/300=0,14) is inferior to the proportion of salespeople that attend the program and receive a bonus. Meaning that there are more chances of receiving a bonus taking a training program.

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Complete question:

A company employs 400 salespeople. Of these, 83 received a bonus last year, 100 attended a special sales training program at the beginning of last year, and 42 both attended the special sales training program and received a bonus. (Note: the bonus was based totally on sales performance.) a) What proportion of the 400 salespeople received a bonus last year? b) What proportion of the 400 salespeople attended the special sales training program at the beginning of last year? c) What proportion of the 400 salespeople both attended the special sales training program and received a bonus? d) What proportion of the salespeople who attended the special sales training program received a bonus? e) Based on your answers to parts a and d, does the special sales training program seem to have been effective? Explain your answer.

Answer:

\( - \frac{11}{3} \: \: » \: \: 90\% \: » \: \: 2 \: \: » \: \: \frac{89}{4} \)

Answer:

Where is the question, mate?

Step-by-step explanation:

1. The trigonometric ratios are given as follows:

2. The equation to solve for x is given as follows: sin(52º) = x/13.

3. Two equations to solve for m are given as follows:

4. The length of the hypotenuse of the triangle is given as follows: 7.9 inches.

5. The lengths are given as follows:

The three trigonometric ratios are given as follows:

In the second problem, we have that the side x is opposite to the angle of 52º, while the hypotenuse is of 13, hence the equation to solve for x is given as follows:

sin(52º) = x/13.

In item 3, the Pythagorean Theorem is used to solve for m, as follows:

n² + m² = l².

m² = l² - n²

m = square root (l² - n²).

In item 4, we have that the angle opposite to the leg of length 7 inches is of 62º, hence the hypotenuse is given as follows:

sin(62º) = 7/h

h = 7/sin(62º)

h = 7.9 inches.

The length BD in item 5 is obtained as follows:

cos(30º) = BD/5

BD = 5 x cos (30º)

BD = 4.3 cm.

Then the length BC is calculated as follows:

sin(22º) = 4.3/BC

BC = 4.3/sin(22º)

BC = 11.5 cm.

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Answer:

z = 3/31

Step-by-step explanation:

5z + 3 = 36z

subtract 5z on both sides

3 = 31z

divide by 31 on both sides

z = 3/31

Answer:

32332

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Angles 8x - 12 and 6x + 8 are adjacent angles.

Adjacent angles are equal.

8x - 12 = 6x + 8

8x - 6x = 8 + 12

2x = 20

x = 20 / 2

x = 10

Answer:

8x-12=6x+8

[corresponding angle]

8x-6x=12+8.

x=20/2

x=10

Answer:

21

Step-by-step explanation:

use PEMDAS

multiplication first

120-20×5+1 =

120-100+1=

20+1= 21

Answer: y-4=-3(x-3) in standard form is - 3x+y=13

Step-by-step explanation:

Hope this helps!

Answer:

3x+y=13 hope this helps dont have the work:)

16 avocados costs = $8, 20 avocados costs = $10 and 9 avocados costs = $4.5

The amount of money that a company spends on the creation or production of goods or services.

Given that, Eight avocados cost $4.

Therefore, each of them costs = 4/8 = 1/2

So, 16 avocados = 16*1/2 =$8

20 avocados = 20*1/2 =$10

9 avocados = 9*1/2 =$4.5

Hence, 16 avocados costs = $8, 20 avocados costs = $10 and 9 avocados costs = $4.5

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For f to be continuous at x=2, b must be equal to 6.  That is, when b=6, there is no break in the function at x=2, and the function is continuous.

To determine the value of b for which f is continuous at x=2, we need to first find the limit of f(x) as x approaches 2 from the left and from the right. From the left, the limit is 4b-4. From the right, it is 2b+2. To make the function continuous at x=2, we need to make sure that the left- and right-hand limits are equal. Setting the two limits equal to each other, 4b-4 = 2b+2, and solving for b yields b=6. Therefore, for f to be continuous at x=2, b must be equal to 6.

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Answer:

error in Step 2

Step-by-step explanation:

2(x - 3) + 3x = 19

Step 1 : 2x - 6 + 3x = 19 ← simplify left side by collecting like terms

Step 2 : 5x - 6 = 19 ← add 6 to both sides

Step 3 : 5x - 6 + 6 = 19 + 6

Step 4 : 5x = 25 ← divide both sides by 5

Step 5 : x = 5

Error was made by student in Step 2 who should have added 2x and 3x, not multiplied 2 × 3

Yes , it is true that two pairs of adjacent sides of a kite are equal .

A quadrilateral with two pairs of adjacent sides equal in length is called a kite. Kites also have one pair of opposite angle equal as shown in the figure below.

Hence , the given statement is true .

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Answer:

Condition of vectors collinearity 1. Two vectors a and b are collinear if there exists a number n such that

a = n · b

Condition of vectors collinearity 2. Two vectors are collinear if relations of their coordinates are equal.

N.B. Condition 2 is not valid if one of the components of the vector is zero.

Condition of vectors collinearity 3. Two vectors are collinear if their cross product is equal to the zero vector.

N.B. Condition 3 applies only to three-dimensional (spatial) problems.

The proof of the condition of collinearity 3

Let there are two collinear vectors a = {ax; ay; az} and b = {nax; nay; naz}. We find their cross product

a × b = i j k = i (aybz - azby) - j (axbz - azbx) + k (axby - aybx) =

ax ay az

bx by bz

= i (aynaz - aznay) - j (axnaz - aznax) + k (axnay - aynax) = 0i + 0j + 0k = 0

Examples of tasks

Examples of plane tasks

Example 1. Which of the vectors a = {1; 2}, b = {4; 8}, c = {5; 9} are collinear?

Solution: Since the vectors does not contain a components equal to zero, then use the condition of collinearity 2, which in the case of the plane problem for vectors a and b will view:

ax = ay .

bx by

Means:

Vectors a and b are collinear because 1 = 2 .

4 8

Vectors a and с are not collinear because 1 ≠ 2 .

5 9

Vectors с and b are not collinear because 5 ≠ 9 .

4 8

Step-by-step explanation:

Answer:

They can go on 14 rides the maximum.

Step-by-step explanation:

First, you have to set up the equation. Basically, Aiko and Kendra only carry $60 with them. They cannot go over that limit. Furthermore, the entrance free is $17. Each ride is $3.

(x = the amount of rides)

17 + 3x ≤ 60

17 represents the entrance fee which only has to be paid one time. 3x represents the cost of each ride (x equals to the amount of rides).

Now you solve.

Isolate the variable, which is 3x.

3x ≤ 60 - 17

3x ≤ 43

Now, divide 43 by 3 to find the value of x.

x ≤ 43 ÷ 3

x ≤ 14.3333333333

They can go on a max of 14 rides. Anymore, and they will go over budget. Normally, with problems like this one, if you have a decimal, you should round down unless your instructor says otherwise.

After all, who would you be able to go on a third of a ride? It isn't possible, so generally, they just have you round down.

The function which represents the charge will be a piecewise function.

The concept used in this question is that of a piecewise function. A piecewise function is a mathematical function that is defined by multiple sub-functions, each of which applies to a certain interval of the function's domain.

In this case, the function that represents the monthly cost charged by CellFirst has two sub-functions: one for the fixed monthly fee and one for the additional fee charged for each additional GB of data used.

Here we have

CellFirst, a cellular company, charges each customer a monthly fee of d dollars for data usage up to x GB.

For each additional GB of data that a customer uses during the month, the company charges an additional fee of dollars.  

Let 'f(x)' be the function that is the cost that the company charges  

When the customer uses x GB for a month then the cost is d

f(x) = d, if 0 ≤ x ≤ x

When the customer uses more x GB for a month then the additional cost will be added to 'd'.

=> d + a(x - x), if x > x  

This function has two different linear parts: the first one represents the fixed monthly fee, which is charged regardless of the data usage, and the second one represents the additional fee charged for each additional GB of data used.

Therefore, The function which represents the charge will be a piecewise function.

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Answer:

150

Step-by-step explanation:

srry if incorrect but thats what i got

Answer:

I think that's either a Rhombus or a Square.

I think it's more of a Rhombus.

Step-by-step explanation:

If all the sides are equal then its either a Rhombus or a Square. Then look if all the angles are equal and are right angles, Yes? then it's a Square. If only the angles opposite from each other are equal, then it's a Rhombus.

Answer:

Step-by-step explanation:

So for the fewest days it would be 3 days. The reason for that is because she has 254 pound coins. And she can inly take 5 bags to the bank a day, all of those 5 bags have 100 pound coins in them. If she take 2 days and get 200 pound coins to the bank. Then on the third day she would only have to bring three bags. So your answer for the fewest days possible is three days!

Hope it helps

Answer:

2

Step-by-step explanation:

2

The statements DF=EG, EF=DG and ∠DEG ≅ ∠FGE are true for parallelogram DEFG.

a quadrilateral is a four-sided polygon, having four edges and four corners.

DEFG is a parallelogram.

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

DF=FG is a true statement.

The diagonal passing through a parallelogram are equal in length.

EF=DG is a true statement

The opposite sides of a parallelogram are equal.

∠DEG ≅ ∠FGE are congruent angles.

Because the opposite angles of a triangle are equal in meausure.

Hence, the statements DF=EG, EF=DG and ∠DEG ≅ ∠FGE are true for parallelogram DEFG.

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Answer:

37/50

Step-by-step explanation:

So 37 out of 50 who finished the class, so 37/50 .

And you can't simplify it.

The original dimensions of the piece of metal were 15 inches by 20 inches.

To solve this problem, we can use the given information to set up an equation. Let's assume that the width of the rectangular piece of metal is x inches. According to the problem, the length of the piece of metal is 5 inches longer than its width, so the length would be (x+5) inches.

When squares with sides 1 inch long are cut from the four corners, the width and length of the resulting box will be reduced by 2 inches each. Therefore, the width of the box will be (x-2) inches and the length will be ((x+5)-2) inches, which simplifies to (x+3) inches.

The height of the box will be 1 inch since the flaps are folded upward.
Now, let's calculate the volume of the box using the formula Volume = length * width * height.

Substituting the values, we have:

234 = (x+3)(x-2)(1)

Simplifying the equation, we get:

234 = x^2 + x - 6

Rearranging the equation, we have:

x^2 + x - 240 = 0

Now, we can solve this quadratic equation either by factoring or by using the quadratic formula. Let's use factoring to find the values of x.

Factoring the equation, we have:
(x+16)(x-15) = 0
Setting each factor equal to zero, we get:
x+16 = 0 or x-15 = 0
Solving for x, we have:
x = -16 or x = 15
Since the width cannot be negative, we take x = 15 as the valid solution.
Therefore, the original dimensions of the piece of metal were 15 inches in width and (15+5) = 20 inches in length.

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Notice that there are 12 units between -8 and 4:

In order to get 4 by adding or substracting a number from -8, we must add 12 units. Nevertheless, the sign that is set before the blank box is a negative sign. Remember that substracting a negative number is the same as adding its positive equivalent:

Therefore, the answer is:

Irene bought 13/16 flour because you add 9/16 to 4/16 the denominator always stays the same when adding. 9+4=13 so the answer is 13/16

Answer:

15

Step-by-step explanation:

2/3 of 30 is 20, so 1/2 of 30 is 15

the answer is in the image above

Answer:

0.2%

Step-by-step explanation:

2,000 people tested the new shampoo.

4 people had a mild allergic reaction.

4 is what percentage of 2,000?

0.2 percent.

(2,000 = %99.8)

Answer:

Inverse Property (B)

Step-by-step explanation:

As we can see multiplication of 5 and 1/5 is 1. It is obtained by inverse property of multiplication because according to this if number multiply by its reciprocal is equal to one.

And we can say 1/5 is a reciprocal of 5

Answer:

look at the sceenshot how you put the graph in

Step-by-step explanation: