whats the theoretical probability of rolling a 5 on a normal dice?

Answer:

r = - [tex]\frac{12}{7}[/tex]

Step-by-step explanation:

Given that r varies inversely as t , then the equation relating them is

r = [tex]\frac{k}{t}[/tex] ← k is the constant of variation

To find k use the condition t = - 6 when r = - 2, then

- 2 = [tex]\frac{k}{-6}[/tex] ( multiply both sides by - 6 )

12 = k, thus

r = [tex]\frac{12}{t}[/tex] ← equation of variation

when t = - 7, then

r = [tex]\frac{12}{-7}[/tex] = - [tex]\frac{12}{7}[/tex]

Answer:

x is √868, If rounded then its 29.5 inches

Step-by-step explanation:

Answer:

2 × h

Step-by-step explanation:

h = b ÷ 2   (multiply both sides by 2)

2 × h = b ÷ 2 × 2

2 × h = b

b = 2 × h

Answer:

2h

Step-by-step explanation:

Answer:

A =153.86 yd^2

Step-by-step explanation:

The area of a circle is given by

A = pir^2

We need to get the radius.  We are given the diameter

r = d/2 = 14/2 =7

A = pi (7)^2

A =49pi

Using 3.14 for pi

A = 49 (3.14)

A =153.86 yd^2

Answer: The first one is 90%.

Step-by-step explanation:

Answer:

56.3

Step-by-step explanation:

I believe it is the answer because 3×5×3.75= 56.25, and you can round that to 56.3. pls dont be mad if it's wrong. I'm like 85% confident that's the answer.

The minimum value is 19, maximum is 37, median is 28.5, first quartile is 23.5, and third quartile is 33.5. These measures are calculated by organizing the data in ascending order and finding the middle and approximated middle values of the data set and its halves.

First, let's arrange your data in ascending order: 19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37. There are 18 data points here.

The minimum value is 19 and the maximum value is 37.

To calculate the median (the middle number), since we have an even number of data points, we take the average of the 9th and 10th numbers. (28+29)/2 = 28.5.

Now, to find the first quartile (lower median), we look at the median of the lower half of the data (excluding the overall median if it's part of the data). The lower half of the data is: 19,20,21,22,23,24,26,27,28. So, we take the average of 23 and 24 which is 23.5.

For the third quartile (upper median), we look at the median of the upper half of the data. Here it is: 29,30,31,32,33,34,35,36,37. So, we take the average of 33 and 34 which is 33.5.

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Answer:

The length of the rectangle is x+5.

Step-by-step explanation:

Given : The rectangle below has an area of [tex]x^2+8x+15[/tex] square meter and a width of  [tex]x+3[/tex] meter.

To find : What expression represents the length of the rectangle?

Solution :

The area of the rectangle is given by,

[tex]\text{Area}=\text{Length}\times \text{Breadth}[/tex]

[tex]\text{Area}=x^2+8x+15[/tex]

[tex]\text{Breadth}=x+3[/tex]

[tex]x^2+8x+15=\text{Length}\times(x+3)[/tex]

[tex]\text{Length}=\frac{x^2+8x+15}{x+3}[/tex]

[tex]\text{Length}=\frac{(x+5)(x+3)}{x+3}[/tex]

[tex]\text{Length}=x+5[/tex]

Therefore, the length of the rectangle is x+5.

Final answer:

The length of the rectangle is found by dividing the area (x² + 8x + 15) by the width (x + 3), which simplifies to x + 5 meters, as the (x + 3) factor cancels out.

Explanation:

To find the length of the rectangle, we can use the area formula for rectangles, which is area = length × width.

According to the question, the area of the rectangle is given by the quadratic expression x² + 8x + 15, and the width is given by x + 3. To find the length, we divide the area by the width:

length = ²/(x + 3)

² + 8x + 15 is factorable, and its factors are (x + 5)(x + 3), which simplifies to:

length = (x + 5)(x + 3)/(x + 3)

When the polynomial is factored, we can see that the (x + 3) terms cancel each other out:

length = x + 5

So, the expression representing the length of the rectangle is x + 5 meters. It is important to note that when dealing with units, one must ensure they are consistent. However, there is no need for conversion here since the area and width are already in terms of meters and square meters respectively.

Answer:

162 mL

Step-by-step explanation:

1.Convert all volumes to millilitres

(a) Chlorpheniramine

V = 100 mL

(b) Lidocaine

V = \text{2 oz} \times \dfrac{\text{29.57 mL}}{\text{1 oz}} = \text{ 59.14 mL)

(c) Banana flavouring

V = \dfrac{1}{2}\text{ tsp} \times \dfrac{\text{4.93 mL}}{\text{1 tsp}} = \textbf{2.46 mL} }

2.Calculate the total volume

Chlorpheniramine = 100      mL

Lidocaine               =   59.14

Banana flavouring =    2.46          

TOTAL                    = 162      mL

Answer:

log 19 + log 42

Step-by-step explanation:

798 = 2* 3 *7*19

= 19 * 42

log 798 = log (19*42)

Now log ab = log a + log b

So:

log 798 = log 19 + log 42  <-- is equivalent to log 798.

Answer:

The answer is 2.356

would it be 10, I think if you divide 21/3 and 6/2 you get 7+3 is equal to 10

Answer: 12 because for each number on the die, you get 2 options: one marble or the other. So if it’s a six sided die, you have 12 possible outcomes. (2 times 6)

You roll a die and pick a marble,  12 outcomes are possible.

The possibility of an event in time is known as probability in mathematics. How frequently does the incidence occur over the course of a specific time period, in plain English?

Given:

You roll a die and pick a marble.

When you roll a die,

you'll get either one marble or another.

So, there are 2 possibilities.

When you roll a die, there 6 possible outcomes.

And the total number of possible outcomes,

= 2 times 6

= 2x 6

= 12

Therefore, 12 outcomes are possible.

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Answer:

b.The interquartile range for cars is about 7 mpg, and the interquartile range for minivans is about 3 mpg.

Step-by-step explanation:

i got it right

Answer:

The answer is B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

When you plug in one, y equals three and you have a point at hat ordered pair

When you plug in zero you get one, and you have a point at that ordered pair

the slop is going up, and in the equation the slope is positive

Answer:

59 degrees

Step-by-step explanation:

law of cosines states that

for sides A B C and angle c opposite to side C,

[tex]C = \sqrt{A^2 + B^2-2ABcos(c)} \\cos(c) = \frac{c^2-a^2-b^2}{-2ab}[/tex]

cos(b) = [tex]\frac{13^2-6^2-15^2}{-2(6)(15)} = 23/45[/tex]

cos-1(23/45) = b

b = 59

Answer:59

Step-by-step explanation:

C2=a2+b2-2ab cosC

13x13=15x15+6x6-2(15)(6)cosC

169=225+36-180cosC

169=261-180cosC

-92=180cosC

-92/-180=cosC

C=arccos92/180. On your calculator it will say cos-1

C=59.23 or m<B = 59. Rounded to the nearest degree.

Answer:A

Step-by-step explanation:

Answer:1.4

Step-by-step explanation:

Answer:

It is 1:4

Step-by-step explanation:

I got it right on ed.

Hey there!

| x + 11| < 17

Solving for your ABSOLUTE VALUE

x + 11 < 17 ; x + 11 > -17

Solving solution #1

x + 11 < 17

SUBTRACT by 11 on your sides

x + 11 - 11 < 17 - 11

Cancel out: 11 - 11 because it gives you 0

Keep: 17 - 11 because it helps us compare with x

17 - 11 = 6

Answer #1: x < 6

Solving solution #2

x + 11 > -17

SUBTRACT by 11 on your sides

x + 11 - 11 > -17 - 11

Cancel out: 11 - 11 because it gives you the value of 0

Keep: -17 - 11 because it helps us compare with x

-17 - 11 = -28

Answer #2: x > -28

Overall answer: x < 6 and x > -28

Its an OPEN circle shaded to the left

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

Should be in the pic below

Step-by-step explanation:

Answer:

x = [tex]\frac{-3+\sqrt{19} }{2}[/tex] or x = [tex]\frac{-3-\sqrt{19} }{2}[/tex]

Step-by-step explanation:

We want to factor this. In order to factor it, we need to use the quadratic formula:

[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or [tex]x=\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

Here, a = 2, b = 6, and c = -5, so plug these in:

[tex]x=\frac{-6+\sqrt{6^2-4*2*(-5)} }{2*2}=\frac{-6+\sqrt{76} }{4} =\frac{-6+2\sqrt{19} }{4} =\frac{-3+\sqrt{19} }{2}[/tex]

AND

[tex]x=\frac{-6-\sqrt{6^2-4*2*(-5)} }{2*2}=\frac{-6-\sqrt{76} }{4} =\frac{-6-2\sqrt{19} }{4} =\frac{-3-\sqrt{19} }{2}[/tex]

Thus, the answers are x = [tex]\frac{-3+\sqrt{19} }{2}[/tex] or x = [tex]\frac{-3-\sqrt{19} }{2}[/tex].

Hope this helps!

Answer:

x = 42°

Step-by-step explanation:

[tex] \angle JML \:and\:\angle LMN [/tex] Linear pair angles or straight line angles.

[tex] \therefore \: \angle JML + \angle LMN = 180 \degree \\ \therefore \: 3x + 54 \degree = 180 \degree \\ \therefore \: 3x = 180 \degree - 54 \degree \\ \therefore \: 3x = 126 \degree \\ \therefore \: x = \frac{126 \degree}{3} \\ \therefore \: x = 42\degree \\ [/tex]

Answer:

9x2 – 25 = (3x – 5)(3x + 5)

Step-by-step explanation:

(3x – 5)(3x + 5)

= 9x² + 15x - 15x - 25

= 9x² - 25

Final answer:

The correct equation is 9x² – 25 = (3x – 5)(3x + 5), as it is the factored form of the difference of squares, where 9x² is the square of 3x and 25 is the square of 5.

Explanation:

The equation we are considering is 9x² – 25. We need to determine which of the provided options is a true equality. The equation 9x² – 25 is a difference of squares, which factors as (a² – b²) = (a – b)(a + b). In this case, a is 3x and b is 5 because (3x)² = 9x² and 5² = 25.

Thus, the factored form of the equation 9x² – 25 is (3x – 5)(3x + 5). So, the correct equation from the given options is 9x² – 25 = (3x – 5)(3x + 5).

Answer:

f(12) = 28

Step-by-step explanation:

All you have to do is plug in 12 as x.

f(12) = 2(12) + 4

      = 24 +4

      = 28

And you're done! :)

Answer:

f(12)=28

Step-by-step explanation:

We want to find what y or f(x) is when x equals 12

To find f(12), substitute 12 in for x

f(x)=2x+4

f(12)=2(12)+4

Multiply

f(12)=24+4

Add

f(12)=28

n^2 + 10^2 = 26^2

n^2 + 100 = 676

n^2 = 576

n = 24

Answer:

3/20 of the pizza

Step-by-step explanation:

To find how much she eats in one minute, you have to change the fraction into a decimal, which is 0.75, and divide that by 5. Once you've done that, you get 0.15 of the pizza in a minute. this can be simplified into the fraction 3/20.

Answer:

3/20

Step-by-step explanation:

If she can do 3/4 per 5 minutes, the amount in 1 minute is 1 fifth of 3/4, so multiply 3/4 by 1/5 to get 3/20.

Answer:

B. The graph is linear and has an equation of y = -x + 18

Step-by-step explanation:

if the equation was y = -2x + 18 then the graph would look like a staircase and the graph looks linear

The statements about the box plot in Figure A2 are analyzed and determined to be true or false.

The graph in Figure A2 is a box plot. Let's go through each statement and determine if it is true or false.

A. Twenty-five percent of the data are at most five: True. The box extends from the first quartile (Q1) to the third quartile (Q3), which represents the middle 50% of the data. The line inside the box is the median, and the whiskers extend to the minimum and maximum values. In this case, the box goes up to five, indicating that 25% of the data are at most five.

B. There is the same amount of data from 4-5 as there is from 5-7: False. The box plot shows the range of values within the quartiles. In this case, the range from 4-5 is smaller than the range from 5-7, indicating that there is more data in the latter range.

C. There are no data values of three: True. The box plot does not have any outlier points at the value of three, indicating that there are no data values at that point.

D. Fifty percent of the data are four: False. The median value in the box plot is the value that divides the data into two equal halves. In this case, the median is not at four, so 50% of the data are not equal to four.

Answer:

ok thanks for telling us

Step-by-step explanation:

Answer:

The outlier is of all those number is 96 and 29

Answer:

I was on a unit test so i couldn't look at the right answer but i believe it was A but i could be wrong

Step-by-step explanation:

The given data and line of best fit (function) of y = 6.855·x + 10.215 give

the table that shows the correct residual values as follows;

[tex]\begin{array}{|c|c|c|c|}x&Given& Residual \\1&14.95&-2.12\\2&25.50&1.575\\3&32&1.22\\4&38.95&1.315\\5&42.5&-1.99\end{array}\right][/tex]

The residual values = Actual value - Predicted value

The given table is resented as follows;

[tex]\begin{array}{|c|c|c|c|}x&Given&Predicted = 6.855 \times x + 10.215& Residual = Actual - Predicted\\1&14.95&17.07&-2.12\\2&25.50&23.925&1.575\\3&32&30.78&1.22\\4&38.95&37.635&1.315\\5&42.5&44.49&-1.99\end{array}\right][/tex]

From the above completed table, the correct option is therefore;

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Answer: 29cm

Step-by-step explanation:

20^2+21^2=841

Then the square root of 841 is 29

The third straw should be 29cm long in order to form right angles triangles

The theorem states that the square of the hypotenuse is equal to the square of the other two sides

Given the following

adjacent = 20 cm
Opposite side = height = 21cm

Required

Base of the ladder

Use the theorem

c^2 = 20^2 + 21^2

c^2 =  400 + 441
c^2 = 841
c = 29cm

The third straw should be 29cm long in order to form right angles triangles

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