Aisha drove 17 miles in 3 hours. On average, how fast did she drive, in miles per
hour? Enter your answer as a whole number, proper fraction, or mixed number in
simplest form.

probability that there was an accident = 7.5

probability that there was an no accident when it snowed = 0.28

probability that there was an accident when it snowed  = 0.72

probability that there was an accident when it no snowed = 0.846

According to the given information,

We know that,

Probability is the ratio of number of favorable outcomes and total number of outcomes. it deals with finding out the likelihood of the occurrence of an event.

Therefore,

probability that there was an accident =  total accident / total event

                                                                = 75/100

                                                                = 7.5

probability that there was an no accident when it snowed = 21/74

                                                                                                 = 0.28

probability that there was an accident when it snowed  = 1-0.28

                                                                                             = 0.72

probability that there was an accident when it no snowed = 22/26

                                                                                                 = 0.846

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Answer:

Step-by-step explanation:

tan30 = opp/adj = x/1

x = tan30 = ⅓√3 or approximately 0.577

Answer:

The solution can be defined as follows:

Step-by-step explanation:

Augmented matrix for the given system is

\(\left[\begin{array}{ccccc}2&1&-2&|&4\\4&0&2&|&10\\ -4&5&-17&|&-15 \end{array}\right]\)

Apply elementary row transformations on the matrix:

\(R_1\to R_2 (2) \sim \left[\begin{array}{ccccc}4&2&-4&|&8\\4&0&2&|&10\\ -4&5&-17&|&-15 \end{array}\right] \\\\\\R_2\to R_2-R_1\\R_3\to R_3 \frac{1}{7} \sim \left[\begin{array}{ccccc}4&2&-4&|&8\\0&-1&3&|&1\\ 0&1&-3&|&-1 \end{array}\right] \\\\R_3\to R_3+R_2 \sim \left[\begin{array}{ccccc}4&2&-4&|&8\\0&-1&3&|&1\\ 0&0&0&|&0 \end{array}\right]\)

Matrix Ranking = 2 = Matrix Ranking So the method in question is consistent

And there are endless options. To be the equation,

We're having

\(\to 4x_1+2x_2-4x_3=8 ..........(1)\\\\ \to -x_2+3x_3=1............(2)\\\\take\ x_3=s\)

from equation 2 we get \(-x_2+ 3s = 1\)  

Substituting \(x_3= 3s- 1\)in equation  1 we get  

\(\to 4x_1 +6s-2-4s=8 \\\\\to 4x_1=-2s+10\\\\\to x_1=-\frac{1}{2}s+\frac{5}{2}\)

\(\left[\begin{array}{c}X_1\\x_2\\x_3\end{array}\right]= \left[\begin{array}{c}-\frac{1}{2}s +\frac{5}{2} \\3s-1\\s\end{array}\right]\)

Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c

Answer: x = (b-c)/d

Step-by-step explanation:

xd + c = b

xd = b-c

x = b-c/d

The equivalent equations that have the value x = 3 are:

2 + x = 5, x + 1 = 4, and (-5) + x = -2.

Equations are considered equivalent if they have the same solution(s). In other words, if you solve each equation for the variable, you should end up with the same value(s).

Let's look at the options given:

2 + x = 5: This equation can be solved by subtracting 2 from both sides, leaving x = 3.

x + 1 = 4: This equation can be solved by subtracting 1 from both sides, leaving x = 3.

9 + x = 6: This equation can be solved by subtracting 9 from both sides, leaving x = -3.

x + (-4) = 7: This equation can be solved by adding 4 to both sides, leaving x = 11.

-5 + x = -2: This equation can be solved by adding 5 to both sides, leaving x = 3.

So, we can see that the first, second, and fifth equations are equivalent since they all simplify to x = 3. The third and fourth equations are not equivalent to any of the other equations, since they have different solutions.

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9514 1404 393

Answer:

  D. Graph c

Step-by-step explanation:

Replacing x in f(x) with (x -a) shifts the graph to the right 'a' units. Here 'a' = -5, so the graph is shifted left 5 units. This is shown in Graph C.

_____

Additional comment

Just to make sure you're awake, graph C is selected by choice D.

Answer:

c

Step-by-step explanation:

Let x be the first number then the second number is x+1, then we have:

Then the two numbers are 79 and 80.

Every plane, the sums of angle always 180. Based on this, we can calculate the rest of angle.

M1 = KNL angle = MNL angle = \(22^{0}\)

M2 = \(180^{0} -(90^{0} +22^{0} )=68^{0}\)

M3 = \(180^{0} -(90^{0} +40^{0} )=50^{0}\)

M4 = KM line perpendicular with LN. it means \(90^{0}\)

M5 = KMN angle = NKM angle = \(68^{0}\)

M6 = KML angle = MKL angle = \(40^{0}\)

The graph is attached below and reason is described.

The table is,

x                 (x, f(x))

-2                (-2, 4)

-1                 (-1, 1)

0                (0, 0)

1                 (1, 1)

2                (2, 4)

To graph the functions f(x) = x² and g(x) = x²-4,

Choose a set of integers for x from -2 to 2.

x = -2, -1, 0, 1, 2

Calculate the corresponding values of f(x) and g(x) for each value of x. For f(x) = x²:

f(-2) = 4

f(-1) = 1

f(0) = 0

f(1) = 1

f(2) = 4

Now For  g(x) = x²-4:

g(-2) = 0

g(-1) = -3

g(0) = -4

g(1) = -3

g(2) = 0

Plot the points on a graph with x on the horizontal axis and f(x) and g(x) on the vertical axis.

Analyze the graph of g(x) in relation to the graph of f(x).

From the graph,

We can see that the graph of g(x) is the same as the graph of

f(x) shifted down by 4 units.

In other words,

g(x) = f(x) - 4 for all values of x.

This is because the graph of g(x) is obtained by taking the graph of f(x) and shifting it down by 4 units.

Now the given function is,

f(x) = x²

Now the complete table be,

x          steps         (x, f(x))

-2          (-2)²          (-2, 4)

-1           (-1)²           (-1, 1)

0           (0)²          (0, 0)

 1           (1)²           (1, 1)

 2          (2)²          (2, 4)

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Answer: 22

Step-by-step explanation:

Add everything together (264) and divide by 12 the amount of numbers there are to find the mean or the average

Answer:

for the first question

the mean is 22

Mean is the sum of the values divided by the number of values

Step-by-step explanation:

for the second one

the median is 21

in the set of data you will get two numbers on the middle 20 and 21, add them and divide by 2 like this: 20 + 22 / 2 = 21

Answer:

it is the first one

Step-by-step explanation:

I assume you meant \(g(x)=4^x -1\).

The graph is shown in the attached image.

The two points on the graph are (0,0) and (1, 3).

The asymptote is y = -1.

The domain is (-∞,∞)

The range is (-1,∞)

Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent," it can be written as 2 2 2 2=25 for the number 32. This phrase should be understood as "two to the fifth power."

The two points on the graph are (0,0) and (1, 3).

The asymptote is y = -1.

The domain is (-∞,∞)

The range is (-1,∞)

The graph of the function is attached with the answer.

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Answer:

if the question is asking about the next numbers the it should be: 27,30,33,36

Step-by-step explanation:

the pattern is +3 so you keep on adding

Answer:

57.15

Step-by-step explanation:

22.5*2.54 is 57.15

The board is 57.15 centimeters long.

To convert the length of the board from inches to centimeters, we need to use the conversion factor of 1 inch equals 2.54 centimeters.

Given that the board is 22.5 inches long, we can multiply this value by the conversion factor to find the equivalent length in centimeters.

Length in centimeters = Length in inches × Conversion factor

Length in centimeters = 22.5 inches × 2.54 centimeters/inch

Calculating this expression:

Length in centimeters = 57.15 centimeters

Therefore, the board is 57.15 centimeters long.

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Answer:

283/10

2830/100

Step-by-step explanation:

..........

well, keeping in mind that to draw a line all we need is two points, now, the one drawn already has many points let's pick two off of it, hmmm (-1,4) and (-6,-2).

Now, let's recall that for inverse functions, the domain of the original is the range of the inverse and the range of the original is the domain of the inverse, what does that mean? heheh, well, it simple means that for any point on the original that is say (a , b), the inverse will have a point at the flipped version of it of (b , a).  So if the orginal has the points aforementioned above, then the inverse will surely have the points of (4 , -1) and (-2 , -6), and we can just draw a line through those.  Check the picture below.

Answer:

B. NRS

Step-by-step explanation:

You have to put the letters left to right.

Answer:  

The top of the ladder is 12.69 feet away from the ground

Step-by-step explanation:

Length of the ladder is given to be 15 foot

Also, The base of the ladder is 8 feet away from the wall.

Now, The height of the ladder will be perpendicular to the surface of the ground

So, It will form a right angled triangle

Now, The base of the triangle will be 8 feet

Hypotenuse of the triangle will be 15 feet

And we need to find the perpendicular height of the triangle

By using Pythagoras theorem, We have

Hypotenuse² = Base² + Perpendicular²

⇒ 15² = 8² + Perpendicular²

⇒ Perpendicular = 12.69 feet

Therefore, The top of the ladder is 12.69 feet away from the ground

Or 12.70 from rounding to your nearest tenths

Help this helps and sorry for it being long

The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.

The total number of visitors is 105 + 41 + 8 = 154.

The number of visitors who purchased one or more costumes is 41 + 8 = 49.

So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.

Answer:

6

Step-by-step explanation:

3+3=6 lolzzz ik u already knew that but im taking dem points!!!

The increase in the money supply that causes prices to rise and leads to inflation, loses purchasing power.

Inflation refers to the persistent rise in the general prices of commodities in the economy over a period of time. If the prices of goods and services increase in an economy without an increase in income of people, it reduces the purchasing power of individuals.

This follows the law of demand which states that; the higher the price, the lower the quantity demanded; the lower the price, the higher the quantity demanded.

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Answer:

b

Step-by-step explanation: