A license plate has two letters followed by three digits.What is the probability that the license plate are all odd numbers?

In triangle ABC and DCB

AB=DC

Hypotenuse of both the triangles are equal

BC = CB

Both of you come to school.

According to the HL triangle congurency

Two right triangles are congruent if the hypotenuse and one corresponding leg are equal in both triangles.

Thus, triangles are congurent by HL method

Part a.

From the given infomation, the mean is equal to

and the standard deviation

Then, the distribution of X is:

Part b.

In this case, we need to find the following probability:

So, in order to find this value, we need to convert the 2.6 hours into a z-value score by means of the z-score formula:

Then, by substituting the given values into the formula, we get

Then, the probability we must find in the z-table is:

which gives

Therefore, by rounding to 4 decimal places, the answer for part b is: 0.4152

Part c.

In this case, we need to find the following probability

Then, by converting 2.5 to a z-value, we have

So, we need to find on the z-table:

which gives

Then, by multiplying this probability by 100% and rounding to the nearest hundreadth,

the answer for part c is: 61.25 %

Part d.

In this case, we have the following information:

and we need to find Z. From the z-table, we get

Then, from the z-value formula, we have

and we need to isolate the amount of hours given by X. Then, by multiplying both sides by 1.4, we obtain

Then, X is given by

So, by rounding to 4 decimal places, the answer is: 2.0840 hours.

Explanation:

The commutative property said that:

a + b = b + a

The associative property said that:

a + b + c = (a + b) + c

So, in the first step, you apply commutative property when you reorganize the terms, and then, you apply associative property when you add the brackets

Finally, on the second step, you combined like terms because 6x, -x, and 2x are like terms.

Let's solve the last inequality

First, we subtract 5 from each side

Then, we divide the inequality by -2

The solution to this inequality is all the real numbers greater than 4.

Solve (300/m) + 44n where m = 15 and n = 4

The solution to the expression is 196

Given:

length of side = 8 cm

Area of square is:

so area of square is 64.

EXPLANATION

Given the inequality

-15 < -4x - 3

Adding +4x to both sides:

-15 + 4x < -4x + 4x -3

Adding +15 to both sides:

-15 + 15 + 4x < -3 + 15

Simplifying:

4x < -15 - 3

Adding like terms:

4x < -15 - 3

Dividing both sides by 4:

x < -18/4

Simplifying the fraction:

x < -4.5

The solution is x<-4.5

The equation is given as

14 + 35 = 7 (2 + _)

We shall represent the dash as letter y (the unknown variable)

14 + 35 = 7 (2 + y)

49 = 7 (2 + y)

Divide both sides of the equation by 7 (to eliminate it from the right side of the equation)

N 5

we have that

Triangle ABC is a right triangle

so

Applying the Pythagorean Theorem

AB^2=AC^2+BC^2

substitute given values

AB^2=^2+9^2

AB^2=36+81

AB^2=117

1) Perpendicular lines have reciprocal and opposite slopes. But to properly check it, we need to rewrite the Standard form to the Slope-intercept

So let's rewrite it:

2) Now, we can clearly see the slope. So now, we can tell that a perpendicular line would be reciprocal and opposite to the slope so we can tell that a perpendicular line will be:

Question:

Solution:

Since it is a right triangle, and the side opposite the angle is unknown, we can use the following trigonometric identity:

solving for x, we get:

then the correct solution is:

The points on a graph are frequently used to represent the relationships between two or more objects.

The filled out table exists as follows:

Row 1 = 2, 4, 8

Row 2 = 6, 36, 216

A graph is a visual representation or diagram used in mathematics that displays data or values in an organized manner. The points on a graph are frequently used to represent the relationships between two or more objects.

In the first row we have x² = 4. Apply the square root to both sides to get x = 2. It appears your teacher is making x positive.

So we'll have 2 in the first box of row 1.

If x = 2, then x³ = 8 after cubing both sides.

In other words, x³ = 2³ = 2 × 2 × 2 = 8

The value 8 goes in the other box of row 1.

For row 2, we use x = 6 to square that to get x² = 6² = 6 × 6 = 36.

36 will go in the blank box for row 2.

The filled out table exists as follows:

Row 1 = 2, 4, 8

Row 2 = 6, 36, 216

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The data presented by a pie chart is best used when comparing significantly different groups of data.

The correct option would be the one in which all the relative frequencies are different, and they show a significant difference or variation between one another.

From the options provided, the group of relative frequencies that satisfies the problem is:

OPTION A is correct.

Problem

[tex] \frac{1}{6} (x + 12) = - 4[/tex]

Solution

For this case we have the following equation given:

We can multiply both sides by 6 and we got:

Now we can subtract 12 in both sides and we got:

And the solution for this case would be x=-36

Here, we want to solve an expansion

To get this, we simply multiply the terms in the first bracket with the terms in the second, before we proceed to collect like terms

We have this as follows;

EXPLANATION.

1.Find the number of sides in the polygon with an interior angle of 160 degrees.

The exercise is as follows:

Let

x ----> original amount

Part A

1) 10% raise

that means

100%+10%=110%=110/100=1.1

so

1.1x ---> final amount

2) 5% raise

100%+5%=105%=105/100=1.05

so

1.05(1.1x)=1.155x

therefore

1.155=115.5% ------> 115.5-100=15.5%

part B

we have

First, raise ------> 1.1x

second raise

1.1x(a)=1.15

a=1.15/1.1

a=23/22---------> a=1.04545

1.04545-1=0.04545

therefore

We were given a table that describes teh relationship between the year of an art contest entry, and the number of entries for that year. From these datapoints we need to calculate the rate of change between the years of 2013 and 2014.

The rate of change describes how the function is increasing or decreasing for a particular point. For our case, since the two datapoints are only one year apart, we can subtract the number of entries, and that should give us the desired result. This is done below:

The function rate of change between 2013 and 2014 was -5 entries per year.

If PQRS is a parallelogram, we know that:

- PS and QR have the same length.

-

Then, we can calculate x as:

And we can calculate y as:

Answer: x=4 and y=15

Answer:

Step-by-step explanation:

8 :)

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1  = 8

:0

Given:

Number of pages Rita can read every minute = 5

Pages already read = 25 pages

To find the equation that represents this scenario, use the slope intercept form:

y = mx + b

Where, m is the rate of change.

m = 5

x represents the number of minutes

b represents the number of pages already read.

b = 25

Now, input values into the equation.

We have:

y = 5x + 25

From the choices given, let's rewrite the equation.

Subtract 25 from both sides:

y - 25 = 5x + 25 - 25

y - 25 = 5x

Therefore, the equation from the list that matches the scenario is:

y - 25 = 5x

ANSWER:

B. y - 25 = 5x

We need to count the units to go from A to A'

ANSWER

7 units to the left

Answer:

(a) It increases by 8

(b) It stays the same

Explanation:

First, we need to calculate the mean and median of the original data. This data is

335, 393, 425, 453, 489, 542, 556, 563, 623, 661

Then, the mean is the sum of all the values divided by the number of values, so

The median is the value that divides the set into two sets of equal sizes. In this case, these numbers are 489 and 542 because there are 4 numbers before 489 and 4 numbers after 542

335, 393, 425, 453, 489, 542, 556, 563, 623, 661

Then, the median is

Now, we need to calculate the mean and median when 335 is changed to 415. So, the new data set is

393, 415, 425, 453, 489, 542, 556, 563, 623, 661

Then, the mean is

And the median is 515.5 because the numbers in the middle are the 489 and 542

393, 415, 425, 453, 489, 542, 556, 563, 623, 661

Therefore, we can say that:

The mean increased by 8 because 512 - 504 = 8

The median stays the same

So, the answers are

(a) It increases by 8

(b) It stays the same

Given data:

The given expression is 5=g/8.

The given expression can be written as,

Thus, the value of g is 40.

The value of a quantity after reducing it to some percentage can be found by taking the difference of the old value and the percent of the old value. The original price is $226.27.

A percentage is a value that indicates 100th part of any quantity.

To convert percentage into a fraction it is divided by 100.

Given that,

The percentage of decrease in price = 81%

The new price is $24.89.

Since the new price is obtained by substracting the decrease percentage from the original price. The expression for the original price is given as,

Suppose the original price be P.

P - 81% of P = 24.89

=> P - (89 / 100) × P = 24.89

=> (11 / 100) × P  = 24.89

=> P = 226.27

Hence, the original price is given as $ 226.27.

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To multiplicate two fractions, you have to multiply their numerator and denominator, like this:

answer: B

Given,

The equation of the parabola is y^2+6y+8x+1=0

Required:

The vertex of the parabola.

The equation of the parabola is taken as:

The standard form of the equation is,

Here, h and k are the vertex of the parabola.

On comparing the standard form with given vertex form of the parabola.

Hence, the vertex of the parabola is (1, -3).

The sum of the two expressions is given as:

Expanding the parentheses using the symbols:

Collecting like terms,

Simplifying:

The simplest term is given as (4x + 7y)