What would x equal for these equations of the triangle

Answer:

The probability that the value of the second die is higher than the first

\(P(E) = \frac{15}{36} = \frac{5}{12}\)

Step-by-step explanation:

Explanation:-

In a single throw with two dice total number of sums = 6 X 6 = 36

Let 'E' be the event of the second die is higher than the first

Total number of cases

= {( 1,1), (1,2 )( 1,3), (1,4) , (1,5) ,(1,6)

  ( 2,1), (2,2 )( 2,3), (2,4) , (2,5),(2,6)

   ( 3,1), (3,2 )( 3,3), (3,4) , (3,5),(3,6)

( 4,1), (4,2 )( 4,3), (4,4) , (4,5),(4,6)

( 5,1), (5,2 )( 5,3), (5,4) , (5,5),(5,6)

( 6,1), (6,2 )( 6,3), (6,4) , (6,5),(6,6)}

The favourable cases

      n(E) = {(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)} = 15

The probability that the value of the second die is higher than the first

\(P(E) = \frac{15}{36} = \frac{5}{12}\)

Answer:

a. x = 1.2, b. A = 32.1°

Step-by-step explanation:

1.41²-.75²=x²

a. x = 1.2

sin A = 0.75/1.41

b. A = 32.1°

Answer:

A = 78.5 cm²

Step-by-step explanation:

Area = π · radius²

if diameter is 10 then radius is 5

A = 5²·π

A = 25 × 3.14

A = 78.5 cm²

Answer: 1/-4

Step-by-step explanation:

Find your initial y and x points (-2y and 0x) and then find another point that is equivalent (-1y and -4x) and use m=rise/run = y2-y1/x2/x1 to get your answer of 1/-4

Answer:

a. 4×9=36

glad to help!!

Step-by-step explanation:

Answer:

So first we need to determine what the exponential growth function would look like.  Exponential growth functions look like \(P(t) = P_0*e^{r*t}\) and in our case \(P_0\) would be the initial population which is 6.63 million.  R is the next variable that we need to fill out which is the rate of change which in our case is 3.01% or 0.0301.

This is how our function should look now \(P(t)=6.63*e^{0.0301*t}\)

Moving onto part b, we need to estimate the population of the city in 2018 which 6 years from 2012 and we plug that into t and solve.

\(P(t) = 6.63 * e^{0.0301*6}\)

\(P(t) = 6.63*e^{0.1806}\)

\(P(t) = 6.63 *1.1979\)

\(P(t) = 7.9423\ million\)

Moving onto part c, we need to find when the population of the city will be 11 million which will be done by setting P(t) to 11 million and solving for t.

\(11 = 6.63*e^{0.0301*t}\)

\(\frac{11}{6.63} = \frac{6.63*e^{0.0301*t}}{6.63}\)

\(1.659=e^{0.0301*t}\)

\(ln(1.659)=ln(e^{0.0301*t})\)

\(\frac{0.506}{0.0301}=\frac{0.0301*t}{0.0301}\)

\(16.818\ years = t\)

Moving onto part d, we need to find the doubling time.  This will be similar to the previous part but we will be finding the time it takes to double our population.  So instead of putting 11 million for P(t) we put 6.63 * 2 in there which is 13.26.

\(13.26 = 6.63*e^{0.0301*t}\)

\(\frac{13.26}{6.63} = \frac{6.63*e^{0.0301*t}}{6.63}\)

\(2=e^{0.0301*t}\)

\(ln(2)=ln(e^{0.0301*t})\)

\(\frac{0.693}{0.0301}=\frac{0.0301*t}{0.0301}\)

\(23.028\ years = t\)

Hope this helps!  Let me know if you have any questions

Answer:

-3e/2

Step-by-step explanation:

The lateral area of the pyramid is 320 inches squared.

The pyramid above is a square base pyramid. Therefore, the lateral area of the pyramid can be found as follows:

Lateral area of the pyramid = 2al

where

Therefore,

a = 16 inches

Using Pythagoras's theorem,

8² + 6² = l²

l = √64 + 36

l = √100

l = 10 inches

Therefore,

Lateral area of the pyramid = 2 × 16 × 10

Lateral area of the pyramid = 2 × 160

Lateral area of the pyramid = 320 inches²

learn more on pyramid here:https://brainly.com/question/17230130

#SPJ1

Answer:

333 minutes

Step-by-step explanation:

Let us represent

The number of minutes as = x

The football team has an orange water jug and a blue water jug.

The orange container is full with 3,000 mL of water and leaks 8 mL per minute.

3000ml - 8ml× x

= 3000 - 8x ........ Equation 1

The blue container only has 2,000 mL of water and leaks 5 mL per minute.

2000ml - 5ml× x

= 2000 - 5x ........ Equation 2

We solve this question by equating both Equations together

Orange container = Blue container

3000 - 8x = 2000 - 5x

Collect like terms

3000 - 2000 = 8x - 5x

1000 = 3x

x = 1000/3

x = 333.33333333 minutes

Therefore, approximately to the nearest whole number, the two containers have the same amount of water after 333 minutes

Answer:

16% is the answer.

Answer:

16%

Step-by-step explanation:

$6 divided by $5.04 = 0.84

0.84 x 100 = 84%

100 - 84 = 16

6 - 5.04 = 0.96

0.96 divided by 6 = 0.16

0.16 x 100 = 16

The only statement that must be based on the quadrilateral properties is; Option B: Base angles of quadrilateral Z are congruent

Some of the properties of a quadrilateral are;

1) They have four vertices.

2) They have four sides.

3) The sum of all interior angles is 360°.

4) They have two diagonals.

5) A quadrilateral can be regular or irregular.

Now, from the description of Quadrilaterals T and Z, we can say that;

- The base angles of quadrilateral T are not congruent since at least one pair of parallel side is congruent.

- Base angles of quadrilateral z are congruent since opposite sides are congruent.

- Consecutive angles of quadrilateral Z are not congruent

- Opposite angles of quadrilateral T are not supplementary.

Read more about quadrilateral properties at; https://brainly.com/question/21927684

#SPJ1

Using proportions, the number of pounds that will be needed for a single serving is: one and three seventh pounds.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The number of pounds for 3 people is given by:

\(3 \frac{3}{7} = 3 + \frac{3}{7} = \frac{24}{7}\)

Hence, for one person, the number of pounds can be divided by three(multiplied by 1/3), hence:

\(\frac{24}{7} \times \frac{1}{3} = \frac{24}{21}\)

24 divided by 21 has a quotient of 1 and remainder of 3, hence as a mixed number, the amount is:

one and three seventh pounds.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

Step-by-step explanation:

the awnser is cerrot.

The Laplace domain equation X(s) is found to be X(s) = (s + 2)/(s^2 + 5s + 6). The time domain equation x(t) can be obtained by applying the inverse Laplace transform to X(s), resulting in x(t) = e^(-t) - e^(-2t).

Given the Laplace domain equation X(s), we need to substitute the given parameters and find its expression in terms of s. The equation provided is X(s) = (s + 2)/(s^2 + 5s + 6).

To obtain the time domain equation x(t), we need to apply the inverse Laplace transform to X(s). The inverse Laplace transform of X(s) will give us x(t) in terms of t.

Applying the inverse Laplace transform to X(s) involves finding the inverse transform of each term separately. The inverse Laplace transform of (s + 2) is simply 1, representing the unit step function. The inverse Laplace transform of (s^2 + 5s + 6) is e^(-t) - e^(-2t), which can be obtained through partial fraction decomposition.

Therefore, the time domain equation x(t) is given by x(t) = e^(-t) - e^(-2t), where t represents time.

Learn more about Laplace transform here:

https://brainly.com/question/30759963

#SPJ11

Answer:

You can go 19.33 miles for $20.00 if you give the driver a $2.00 tip.

Step-by-step explanation:

From the information provided, you can say that the total cost of the taxi is equal to the cost of the first mile plus the price for each additional mile for the number of additional miles, which can be expressed as:

c=1.50+0.90(x-1), where

c is the total cost

x is the number of miles

Now, if you want to determine how far you can go for $20 if you give the driver a $2.00 tip, first you have to subtract the tip from the amount you have:

20-2=18

Then, you know that you have $18 for the cost of the taxi and you can replace c with this value and solve for x to find the number of miles:

18=1.50+0.90(x-1)

18-1.50=0.90x-0.90

16.5+0.90=0.90x

17.4=0.90x

x=17.4/0.9

x=19.33

According to this, the answer is that you can go 19.33 miles for $20.00 if you give the driver a $2.00 tip.

Answer:

You can go 19.33 mile

There may or may not exist a basis for mathbb{R}^2 consisting of eigenvectors for matrix A. Whether or not such a basis exists depends on the matrix A itself. If matrix A is diagonalizable, then it has a basis consisting of eigenvectors. However, not all matrices are diagonalizable. For example, a matrix with only one eigenvalue may not be diagonalizable. Therefore, it is not possible to say for certain whether or not a basis for mathbb{R}^2 consisting of eigenvectors for A exists without more information about A.

If something went wrong in part (b) of the question, it may be due to the fact that the matrix A is not diagonalizable and therefore does not have a basis consisting of eigenvectors. In such cases, the Jordan normal form can be used to find a generalized basis consisting of eigenvectors and generalized eigenvectors. This may be more complicated than simply finding a basis consisting of eigenvectors, as it involves finding additional vectors to complete the basis. If the problem in part (b) assumed that a basis for mathbb{R}^2 consisting of eigenvectors for A exists, then it would not be a valid assumption if A is not diagonalizable.

To learn more about eigenvectors : brainly.com/question/31043286

#SPJ11

Answer:

Sample Response: The y-values of equivalent ratios increase at the same rate as their x-values. The vertical distance between points is constant, and the horizontal distance between points is constant. This forms a straight line.

Step-by-step explanation:

The normal approximation for the distribution of (outcome - point spread is (np(1 - p)0.5

What is Normal Distribution?

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.

Reason:

The number of trials n in the binomial setting and the constant success probability p for each of these trials decide the proper normal distribution to choose. Our binomial variable has a mean of np and a standard deviation of (np(1 - p)0.5, which approximates a normal distribution.

It can be demonstrated using simple mathematics that there are a few circumstances in which we must apply a normal approximation to the binomial distribution. To ensure that both np and n(1 - p) are higher than or equal to 10, the number of observations n must be sufficient, as must the value of p. This is a generalization that is supported by statistical theory. The standard approximation can always be used, however it may not be a very accurate approximation if these requirements are not met.

The normal approximation for the distribution of (outcome - point spread is (np(1 - p)0.5

To learn more about Normal Distribution visit:

brainly.com/question/28030494

#SPJ4

Answer:

$38

Step-by-step explanation:

$10 × 2= $20

Therefore the first two lines cost $20

$3 for each additional line of text

since the total lines are 8 lines therefore 8 -2=6

$3 × 6=$18

Tolat cost: First two lines + additional lines

$20+$18= $38

Answer:

y = -8

Step-by-step explanation:

2x2 - 12

4 - 12 = -8

hope this helps

Answer:

6

Step-by-step explanation:

60 = 12+8 divided 2 times height

60 = 20/2 x H

60 = 10 x H

60/10 = h

6 = H

Answer: the population density is approximately 121.75 people/km^2.

Step-by-step explanation: Assuming a scenario whereby the island in question is entirely populated and encompasses a total expanse of 100 square kilometers, it follows that the resulting population density would be as follows:

The formula for population density can be expressed as the ratio of total population to a given geographic area. Mathematically, it is written as Population density = Population / Area.

The metric for measuring population density yields a value of 121.75 individuals per hectare.

The metric expressing the number of individuals residing in a given geographic area is referred to as population density. In this specific instance, the population density is calculated to be 121.75 persons per square kilometer.

Assuming a complete occupancy of the island and a cumulative surface area of 100 square kilometers, it can be posited that...

Answer:

0.54

Step-by-step explanation:

6 divided by 11 is 0.54-non-terminating therefore we get 0.54

Answer:

0.5455

Step-by-step explanation:

Plz choose mine as brainliest

Answer:

The amount made that year is $121,000

Step-by-step explanation:

Here, we are interested in knowing the amount of money made by the literary agent given the amount the amount of sales he made

The total sale made is 175,000 * 4 = 700,000

13% of this will be;

13/100 * 700,000 = $91,000

Let us add this to the fixed amount made yearly

That would be $91,000 + $30,000 = $121,000

Question

A literary agent makes $30,000 a year plus 13% commission on the sales of her clients' books to publishers. The agent sold 4 books for $175,000 each for her clients this year.

Answer:$121000

Step-by-step explanation:  Here, we are interested in knowing the amount of money made by the literary agent given the amount the amount of sales he made

The total sale made is 175,000 * 4 = 700,000

13% of this will be;

13/100 * 700,000 = $91,000

Let us add this to the fixed amount made yearly

That would be $91,000 + $30,000 = $121,000

Answer:

no

Step-by-step explanation:

he left the line at the origin, so he didn't translate anything

Answer:

Step-by-step explanation:

Arithmetic Sequence

Answer:

  (a)  Arithmetic Sequence

Step-by-step explanation:

You want to know if the graph of a straight line represent an arithmetic, geometric, or neither sequence.

An arithmetic sequence is characterized by a common difference between terms that are 1 unit apart. A graph of an arithmetic sequence is points that lie on a straight line.

The graph shows an Arithmetic Sequence.

__

Additional comment

A graph of a geometric sequence would show points that lie on an exponential curve.

Answer:

B) 7/25

Step-by-step explanation:

sin M = opposite/hypotenuse = 7/25

Answer:

2x + 4 = 4x - 4

Step-by-step explanation:

when negative it shows red and that's why the -4 at the end is connected to the 4 red cubes

On solving the provided question, we can say that the probability it is back or female is  55/6 and P( 1 or 6) = 12/7

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

1 gray female, 2 gray males, 2 black male and 2 black males

picked one random kitten

the probability it is back or female is \(^7C_4 + ^6C_3\) = 7!/4!*3! + 6!/3!*3!

= 7*6*5/6+6*5*4/6 = 55/6

A jar contain 7 balls numbered from 1 to seven. You randomly pick a ball. It is numbered 1or 6.

P( 1 or 6) = 12/7

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1