Find the third side in simplest radical form:​

To find the missing probability for consuming two or more cups of coffee in the data scientist's distribution, subtract the sum of the probabilities of all other events from 1, ensuring that all probabilities in the distribution meet the criteria of summing to 1 and each being between 0 and 1.

The question pertains to constructing a probability distribution for a data scientist's daily coffee consumption at work. The random variable C stands for the number of cups of coffee she drinks on a given day. To calculate the missing probability for someone who has two or more cups of coffee, one must know the individual probabilities of all other events (0, 1, 2, etc., cups of coffee). The sum of all these probabilities must equal 1, since that represents the certain event that some outcome in the distribution will occur. To find the missing probability, one would subtract the sum of the probabilities for 0 and 1 cups (if those are the only other events) from 1.

For example, if the probability of drinking 0 cups is 0.1 and the probability of 1 cup is 0.3, then the probability of drinking two or more cups would be 1 - (0.1 + 0.3) = 0.6. Important characteristics of a discrete probability distribution include that the sum of probabilities is 1 and that each individual probability is between 0 and 1, inclusive.

Answer:

0

Step-by-step explanation:

The slope of the line is found by

m = (y2-y1)/(x2-x1)

    = (3-3)/(20-19)

    = 0/1

    = 0

Answer:

c

Step-by-step explanation:

the like terms are 5x and 2x

The like terms in the given equation are 5x and 2x. Therefore, option C is the correct answer.

Like terms are those terms whose variables and their exponent power are the same. The coefficient of these variables can be different. Algebraic-like terms are terms that are similar to each other.

The given equation is 5x+3y+2x+3z=27.

In the given equation like terms are 5x and 2x and unlike terms are 3y and 3z.

Therefore, option C is the correct answer.

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Answer:

6 and 3/250

Step-by-step explanation:

The whole number part is 6, obviously

Then you have the fraction part, which in decimal form is 0.012 which is 12 thousandths which is 12/1000.

Simplify by dividing both the num. and denom. by 4 and you get 3/250. ;p

Answer:

6 3/250

Step-by-step explanation:

Answer: The probability is 0.5

Step-by-step explanation:

The probability will be equal to the quotient between the area of region II, and the total area of the board (supposing that the probability of hitting in any place is equal)

The total area of the figure is equal to

Area = (15' + 35')*(8' + 20') = 50'*28' = 1400 in^2

Now, the area of region II is:

Region II = 20'*35' = 700

Then the probability is:

P = 700/1400 = 1/2 = 0.5

Answer:

Two more (+2) than three times (3) the difference between eight and a number (8-n)

Step-by-step explanation:

hope this helps

Answer:

1: "An equilateral triangle is never an obtuse triangle" & "An equilateral triangle is never an isosceles triangle."

2: Acute Isosceles Triangle

3: False! Option B.

4: D

Step-by-step explanation:

2: Isosceles Triangles have two equal sides. An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles.

3: An equilateral triangle is a triangle in which all the sides and all the angles are equal.

4: In order for a triangle to be isosceles, it has to have two same sides. For a triangle to be equilateral, all sides and angles need to be the same. Refer to reasoning in Question 2 for next explanation.

The correct equation that expresses how much each book cost is C.5x + 4 = 129, where x represents the price of one book.

The student asked which equation expresses how much each book cost if Tim bought a magazine for $4 and five books that all cost the same amount, spending a total of $129. The correct equation would account for the magazine's cost and the total cost of the five books. The equation that represents this scenario is C.5x + 4 = 129, where x represents the cost of one book, 5x represents the total cost of the five books, and 4 is the cost of the magazine. To find the cost of each book, you need to subtract the magazine's cost from the total and then divide by the number of books. The equation 5x + 4 = 129 does this correctly because when we subtract 4 (the cost of the magazine) from 129 (total amount spent), and then divide that result by 5, we find the cost of a single book.

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Answer:

All of them

Step-by-step explanation:

x² - x - 2

(x + 1)(x - 2)

x² + x - 2x - 2

x² - x - 2

(x - 0.5)² - 2.25

x² - 2(x)(0.5) + 0.5² - 2.25

x² - x + 0.25 - 2.25

x² - x - 2

Answer:

X=-2

Step-by-step explanation:

You start with adding 7 to the side with -9 to get the (x) alone. Then you have x=-2.

Answer:

x = -2

Adding two negative numbers is easy: you're just adding two "negative" arrows, so it's just like "regular" addition, but in the opposite direction. For instance, 4 + 6 = 10, and –4 – 6 = –4 + (–6) = –10.

Answer:

Option (3) is the answer.

Step-by-step explanation:

Given question is incomplete; find the complete question in the attachment.

Jewelry made by Nala is a composite figure having three fourth of a circle and two sides of a square.

Perimeter of the whole figure will give us the length of wire needed to design the jewelry.

Perimeter of three fourth of a circle P(circle) = [tex]\frac{3}{4}(2\pi r)[/tex]

Here, r = radius

P(circle) = [tex]\frac{3\pi (3)}{2}[/tex]

             = 14.14 cm

Perimeter of the complete (composite) figure = 14.14 + 3 + 3

                                                                            = 20.13

                                                                            ≈ 20.1 cm

Therefore, Option (3) is the answer.

Answer:

a = 2, b = -5,  c = 3

Step-by-step explanation:

The standard form of the quadratic equation is   a*x^2 + bx + c = 0

Looking at the equation you have, we should correspond the coefficients with the standard form I wrote above.

so.   a = 2, b = -5,  c = 3

Answer:

It is a biased because he only asked the people who left band class. He wanted the people of band class to represent his entire school's opinion. Besides, the students of that class are limited number. If he randomly asked the question, the people chosen would be of any gender, class, etc. and its all random.

Answer:

6y3+17y2+22y+15

Step-by-step explanation:

Answer:

6y³ + 17y² + 22y + 15

Step-by-step explanation:

(2y+3) ( 3y² +4y+5)

Keep the 'FOIL' method (first, outside, inside, last) when distributing and you'll end up with

(2y)(3y² ) + (2y)(4y)  +(2y)(5 ) +(3)(3y2) + (3)(4y) + (3)(5)

Now, multiply each set to get

6y³+8y²+10y+9y²+12y+15

From there, just simplify/combine like terms (8y² + 9y² and 10y + 12y) to get your final answer: 6y³ + 17y² + 22y + 15

Answer:

It's the first answer. Remember, equations like that are always y=mx+b. Y is whatever y value, m is the slope, x whatever the x value is. b is the y intercept (the y value when x equals 0). In this case, you can tell that 1/2 and 2 are the m, m is slope, so the first option should be correct.

Answer:

It is C 75.36. I hope it helps.

Step-by-step explanation:

Answer:

4^4 x 6^6= 11943936

Step-by-step explanation:

hope this helps

Answer:

3m(4-5m)

Step-by-step explanation:

1) m is common in both terms so lets take it out:

m(12-15m)

since 12 and 15 are both divisible by 3 lets take 3 out:

3m(4-5m)

Hope this helps!

The factor of the expression 12m - 15m² is 3(4 - 5m).

Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.

Given:

An expression, 12m - 15m².

To factor the expression:

Using factorization method.

12m - 15m²,

= 3(4 - 5m)

Therefore, the factor is  3(4 - 5m).

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Answer:

18 would be the GCF.

Step-by-step explanation:

18 | 36

6 |  18

36/2 = 18.

To determine the surface area of a model pyramid that has been scaled down, we must first compute the area of the original pyramid, and then multiply that area by the square of the scale factor.

To find the surface area of a square pyramid we first calculate the area of the base which is side squared (152 = 225 sq ft), and then calculate the area of the four triangular faces. For the latter we can use the formula 0.5 x base x height, where base is the side of the pyramid (15 ft) and height is the slant height. The slant height can be calculated using Pythagoras' theorem which constitutes of half of the base and the height of the pyramid, this will give us the slant height, which then can be used in the surface area formula.

Next, if the pyramid is scaled down by a factor of 0.5, both lengths and areas are reduced by that factor. Hence, multiply the original area by 0.52 = 0.25 to find the surface area of the model pyramid.

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Final answer:

To find out how much money will be in the account after 8 years with $200 initial investment and a 3% interest compounded monthly, use the compound interest formula A = P(1 + r/n)^(nt). The calculation results in approximately $256.67 in the account after 8 years.

Explanation:

To calculate how much money will be in the savings account after 8 years with an initial investment of $200 and a 3% interest rate compounded monthly, we can use the formula for compound interest:

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

Where:

In this case, P = $200, r = 0.03, n = 12 (since interest is compounded monthly), and t = 8.

The formula becomes:

A = 200(1 + 0.03/12)^(12*8)

Calculating this we get:

A = 200(1 + 0.0025)^(96)

A = 200(1.0025)^96

A = 200(1.283362)

A ≈ $256.67

After 8 years, the savings account will have approximately $256.67.

Final answer:

There are 45 students in the class.

Explanation:

If 18 girls represent 40% of a class, we can calculate the total number of students in the class using the concept of percentages. To find the total number of students, we set up a proportion, which is an equation that says two ratios are equivalent.

We know that 18 girls are to 40% what the total number of students is to 100%, since 100% would be the whole class.
We can express this relationship with the equation:

18 (number of girls) / (total number of students) = 40% / 100%
Using cross-multiplication, we can find the total number of students:
18 / x = 40 / 100
x = (18 * 100) / 40
x = 1800 / 40
x = 45
So, there are 45 students in the class list.

Answer:

[tex]\frac{1}{25}[/tex]

Step-by-step explanation:

if the picture shows 4 blue, 3 green, 5 red, and 3 yellow tiles, then the total amount of tiles is 15. Divide the number of yellow tiles by the total tiles. Remember the tile is replaced, so there will be the same 15 tiles in the bag with the same probability.

[tex]\frac{3}{15} *\frac{3}{15} = \frac{9}{225}=\frac{1}{25}[/tex]

Answer:

Vertical angles

Step-by-step explanation:

Answer: Vertical angles

Step-by-step explanation:

Pair of opposite angles made by two intersecting lines

Answer:

D and B

Step-by-step explanation:

Answer:

[tex]\frac{x^{2} }{1} +\frac{y^{2} }{2}=1[/tex]

Step-by-step explanation:

The directrices of an ellipse are defined by

[tex]x=(+-)\frac{a}{e}[/tex]

Where [tex]a >b[/tex], and [tex]e[/tex] is the eccentricity defined by [tex]e=\frac{c}{a}[/tex]

So, in the first choice, we have the equation

[tex]\frac{x^{2} }{4}+\frac{y^{2} }{1} =1[/tex]

Where [tex]a^{2}=4[/tex] and [tex]b^{2}=1[/tex], which means [tex]a=2[/tex] and [tex]b=1[/tex].

In an ellipse, we have the relation

[tex]c^{2}=a^{2}-b^{2}[/tex]

Replacing values, we have

[tex]c^{2} =4-1=3\\c=\sqrt{3}[/tex]

So, the eccentricity is [tex]e=\frac{\sqrt{3} }{2}[/tex] and the directrices are [tex]x=(+-)\frac{2}{\sqrt{3} }[/tex], which means the first choice is not the right answer. In other words, the right answer is the second choice, because third and fourth choices don't represent an ellipse, both fractions must be positive in that case.

Therefore, the right answer is

[tex]\frac{x^{2} }{1} +\frac{y^{2} }{2}=1[/tex]

Answer:

OPTION B IS CORRECT

Step-by-step explanation:

FOR A VERTICAL ELLIPSE a IS ALWAYS LARGER THAN b AND a is always right under y-squared in the equation.

Answer:

$823.2

Step-by-step explanation:

Interest = 700 × 4.4/100 × 4

= 123.2

Balance = principle + interest

700 + 123.2

823.2

Answer:

A =823.20

Step-by-step explanation:

A = P (1 + rt)

Where A is the amount in the account

P is the principle,  r is the rate and t is the time

A = 700(1+4.4% *4)

Change to decimal form

A = 700(1+.044 *4)

A = 700(1+.176)

A =823.20

Answer:

15/100= 3/20

Step-by-step explanation:

To solve the equation 1.75n = 7, divide both sides by 1.75 to isolate n, which simplifies to n = 4. Therefore, the value of n is 4.

To solve the equation 1.75n = 7 for the value of n, you need to isolate n. This can be accomplished by dividing both sides of the equation by 1.75, the coefficient of n.

Here are the steps: