The odds against an event are 7:8. Find the probability that the event will occur.
A) 7/15
B) 8/15
C)7/8
D) 8/7

Answer:

5+7t

Step-by-step explanation:

3t and 4t add together bc they are like terms

Answer:

9+2t

Step-by-step explanation:

5+4=9

3t-t=2t

Answer:

15/17

Step-by-step explanation:

15^2+8^2=c^2

c=hypotenuse. Sin is opposite side/hypotenuse

Answer:

B

Step-by-step explanation:

Use SOHCAHTOA

We are given the opposite side and the agacent side

Therefore we use TOA

tan(x)= 15/8

tan^-1(15/8)=  61.93

sin(61.93)=  15/17

Hope this Helped :)

Recall that

cos²(x) + sin²(x) = 1

for all x, so that

sin(x) = ± √(1 - cos²(x))

Given that cos(θ) = 4/9 > 0, and

tan(θ) = sin(θ) / cos(θ) < 0

it follows that sin(θ) < 0, so

sin(θ) = - √(1 - cos²(θ)) = - √(1 - (4/9)²) = - √(65)/9

The value of sinθ is √(65)/9.

The sine function in trigonometry is the ratio of the hypotenuse's length to the opposite side's length in a right-angled triangle. To determine a right triangle's unknown angle or sides, utilize the sine function.

Since cos(theta) = 4/9 and tan(theta) < 0, we know that theta is in the second quadrant of the unit circle, where cosine is positive and sine is positive.

We can use the Pythagorean identity to find sin(theta):

sin²(theta) + cos²(theta) = 1

Substituting in the given value of cos(theta), we get:

sin²(theta) + (4/9)² = 1

sin²(theta) + 16/81 = 1

sin²(theta) = 1 - 16/81

sin²(theta) = 65/81

Taking the square root of both sides, we get:

sin(theta) = ± sqrt(65)/9

Since theta is in the second quadrant where sine is positive, we can take the positive root:

sin(theta) = sqrt(65)/9

Therefore, sin(theta) = sqrt(65)/9.

To learn more about the sine function;

https://brainly.com/question/12015707

#SPJ2

Answer:

Concept: Engineering Statistics

Answer:

Please check the attached graph.

The solution will be:

Hence, option (B) is correct.

Step-by-step explanation:

Given the system of equation

[tex]\begin{bmatrix}y=\frac{2}{3}x-12\\ y=2x-32\end{bmatrix}[/tex]

Please check the attached graph,

From the attached graph, it is clear that both the lines meet at the point (15, -2).

In other words,

at x = 15, y = -2

Thus, the point of intersection will be: (x, y) = (15, -2)

We already know that the point of intersection is the solution of the two lines on a coordinate plane.

Therefore, the solution will be:

(x, y) = (15, -2)

Hence, option (B) is correct.

Answer:

the best interest rate would be a minimum of 3.5% annual interest

Step-by-step explanation:

An inflation rate of 3.5% would mean that the buying power of Lydia's money would decrease by 3.5% every single year. Therefore, the best interest rate would be a minimum of 3.5% annual interest. That way she would at least maintain the same buying power with her money as the day that she first placed it in the account. Any interest rate higher than 3.5% would be even better as Lydia will begin to make a profit from her savings.

Answer:

19

Step-by-step explanation:

Answer:

Graph B (bottom left)

Step-by-step explanation:

Let's eliminate answers by reading the prompt:

Jaelene drains some of the water from a pool at a constant rate.

These are two big clues. Since Jaelene drains water, she is losing water, and at a constant rate. Therefore, we can eliminate A and C because you would be gaining water in the pool and not draining.

She stops draining water to fix the hose and then fills the pool up with water again.

Also important clues. If you stop draining water, the water level does not change. Also, since the pool is filling up, that means we are gaining water. Therefore, we can eliminate option D because that would mean we're still draining water but we're not in this case.

Therefore, the only correct answer is graph B (bottom left)

Answer:

The correct anwser is 2x+5<4

Step-by-step explanation:

Answer:

d. nq / q - 1

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

q = d / (d + n)

Step 2: Solve for d

Answer:

For the first one:

416/96

For the second one:

270/180

Step-by-step explanation:

Given that,

The interest of sum of money is 6 yrs in 3/8 of the principal.

To find,

The rate of interest.

Solution,

Let P is the principal. It means interest will be :

I=3/8 P

The formula for the interest is given by :

[tex]I=\dfrac{PRT}{100}\\\\\dfrac{3}{8}P=\dfrac{PR\times 6}{100}\\\\\dfrac{3}{8}=\dfrac{6R}{100}\\\\R=\dfrac{300}{8\times 6}\\\\=6.25\%[/tex]

Hence, the rate of interest is 6.25%.

Answer:

(1,-1)

Step-by-step explanation:

pls don't forget to mark brainliest, thanks! message me for any more questions :)

Answer:

43

Step-by-step explanation:

The range of the data is 14.

A boxplot is defined as a common method for visualizing data distribution based on a five-number summary. (minimum, first quartile (Q1), median, third quartile (Q3), and maximum).

Given that,

The box-and-whisker plot shows the number of books read by history students during the last school year.

The box extends from 4 to 15 on the number line.

There is a vertical line at 8, median = 8.

The whiskers end at 4 and 15,

So, minimum of data = 4 and maximum of data = 15.

∵ Range = maximum of data - minimum of data

Range = 15 - 4

Range = 11

Hence, the range of the data is 14.

Learn more about boxplot here :

https://brainly.com/question/24834228

#SPJ2

Answer:

a.

Step-by-step explanation:

The area for this is 

A= 7x9/2+3x9+9x6

    =   31.5+27+54

     =      112.5

Answer:

[tex]y = 320x +2080[/tex]

Step-by-step explanation:

Given

Population in 1995 = 2400

Population in 2000 = 4000

Required

Determine the linear equation

Let the years be represented with x.

In 1995, x = 1 i.e. the first year

In 2000, x = 6

Let y represents the population

When x = 1; y = 2400

When x = 6; y = 4000

First, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{4000 - 2400}{6 - 1}[/tex]

[tex]m = \frac{1600}{5}[/tex]

[tex]m = 320[/tex]

Next, we calculate the line equation as follows:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 2400 = 320(x - 1)[/tex]

[tex]y - 2400 = 320x - 320[/tex]

[tex]y = 320x - 320 + 2400[/tex]

[tex]y = 320x +2080[/tex]

Answer:

x = 9

Step-by-step explanation:

2x - 9 = x

2x - x = 9

x = 9

Answer:

The correct answer is 9.

Step-by-step explanation:

2x – 9= x <----- Here is the original problem.

2(9) – 9 = 9 <----- Replace the variables.

18 - 9 = 9 <----- Simplify the multiplication.

9 = 9 <----- This is a true statement.

Therefore, the correct answer is 9.

Hope this helps! :D

Answer:

Cluster random sampling

Step-by-step explanation:

Answer:

As per your defention, horses are the only thing considered "not small".  To find the percentage, you take the number of what you are trying to find the percentage of divided by the total number.

So, 7 dogs + 13 cats + 3 ferrets = 23 Small animals

7 dogs + 13 cats + 3 ferrets + 4 horses = 27 total animals.

So,

23/27 * 100

The reason we multiply by 100 is because the division gives us a decimal, and a percentage is a part out of 100.

So by doing the calculation we get

85.18%

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

Here is a very high quality picture

Answer:

4

Step-by-step explanation: If you had 2 crayons and your friend had 2 crayons and you added them together it would equal 4!

Answer:

we need to see the product to be able to help you!

Answer:

The answer is D

Step-by-step explanation:

I would give an explanation but it would take to long. The original answer is 21, there is no other equation that equals 21.

A) the initial population is 30, which is given in the equation.

B) replace t with the number of years and solve:

5 years = 60

10 years = 120

15 years = 241

C) the population is doubling every 5 years

Answer:2

Step-by-step explanation:

Answer:

The answer is [tex]125.64[/tex]

Step-by-step explanation:

hope this helps :)

Nitrogen (N) has a molar mass of about 14.007 g/mol, so you have

100.0 g N₂ = (100.0 g) • (1/28.014 mol/g) ≈ 3.570 mol N₂

Hydrogen (H) has a molar mass of about 1.008 g/mol, so

100.0 g H₂ = (100.0 g) • (1/2.016 mol/g) ≈ 49.60 mol H₂

In the balanced reaction, 1 mole of N₂ reacts with 3 moles of H₂ to make 2 moles of NH₃. We have

3.570 • 3 ≈ 10.71

so the reaction would use up all 3.570 mol N₂ and 10.71 mol H₂ to produce about 7.139 mol NH₃.

(A) H₂ is the excess reactant. There is an excess of 49.60 - 10.71 ≈ 38.89 mol H₂.

(B) N₂ is the limiting reactant. All of the N₂ gets consumed in the reaction.

(C) NH₃ has a molar mass of (14.007 + 3 • 1.008) g/mol = 17.031 g/mol. This reaction would theoretically yield about 7.139 mol NH₃, or

7.139 mol NH₃ = (7.139 mol) • (17.031 g/mol) ≈ 121.6 g NH₃

Step-by-step explanation:

y=mx+ C

to find m (slope )

m= 10 _ 4 / 1- ( -2 )

m = 6 / 3 = 2

( I,10 ) Satisfy eq.

10 =2 x I + C

C= 5

. so, equation of Line is \

y= 2x +5