Tamara wants to know how likely her bus is to be late.
She records the data over a month and finds it was late on
7 out of 25 times that she went to catch it.
Estimate the probability of the bus being late on any given day.

If she goes for the bus 20 times in the next month,
how often would she expect the bus to be late?

Answer:

72

Step-by-step explanation:

8 x 3² = 8 x 3 x 3

          = 8 x 9

          = 72

[P.S. If you meant (8 x 3)² the answer is:

(8 x 3)² = (24)²

            = 24 x 24

            = 576     ]  

Answer:  $30

Step-by-step explanation:

So if Bob sells his fish at a profit of $1.25 and he has 24 fish to sell then 1.25*24= 30

(I'm assuming what you mean by "how much money he will have" is profit)

Answer:

The answer is $30. remove the decimal from the price and multiply it by the amount of fish. then when you finish multiplying add the decimal back in.

Step-by-step explanation:

     125

×    24

  --------

    500

+ 2500

-----------

  30.00

Answer:

10x + 332

when, x=0

Step-by-step explanation:

Please give me brainlist.

The measure of the angle x is 117 degrees

To determine the value of x in the given diagram, we will use the alternate angles theorem

The value of x is expressed as shown;

p + q= x

If the value of p = 51, then;

51 + q. = x

Determine the value of. q

q = 108 - 42

q = 66

Determine the value of x

x = 66 + 51

x = 117 degrees

Hence the measure of the angle x is 117 degrees

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The values for y are i, 0, √3 and 2√2

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Given:

F(x)= y = √(x-5) -1

At x=5,

y=  √(5-5) -1

y= i

At x= 6

y= √(6-5) -1

y=0

At x= 9

y= √(9-5) -1

y=√3

At x= 14

y= √(14-5) -1

y=√8= 2√2

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Answer:

D

Step-by-step explanation:

x = 5y²

x = 3y²

Here x is a function of y and so the parabola is open either to right or left.

The coefficient of y² is positive. So the parabola is open to right.

Both parabolas are open to right and  x = 5y² is wider than x = 3y².

The equation of the line in slope-intercept form is [tex]\bf{y= \frac{3}{2} x + \frac{9}{4}} [/tex].

The first step is to calculate the slope of the line.

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Slope

[tex] = \frac{ - 3 - 0}{ - 5 -( - 3)} [/tex]

[tex] = \frac{ - 3}{ - 5 + 3} [/tex]

[tex] = \frac{ - 3}{ - 2} [/tex]

[tex] = \frac{3}{2} [/tex]

Substitute the value of m into y= mx +c:

[tex]y = \frac{3}{2} x + c[/tex]

Next, substitute a pair of coordinates that the line passes through. Here, I will substitute (-3, 0) into the equation.

When x= -3, y= 0,

[tex]0 = \frac{3}{2} ( - 3) + c[/tex]

Find the value of c:

[tex]0 = - \frac{9}{2} + c[/tex]

[tex]c = \frac{9}{2} [/tex]

Substitute the value of c into the equation:

Thus, the equation of the line is [tex]y = \frac{3}{2} x + \frac{9}{2} [/tex].

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Answer:

6√27 + √243

6√9 x 3 + √81 x 3  

6 x 3 √3 + 9√3

18√3 + 9√3

27√3

Answer:

8x

Step-by-step explanation:

Greatest common factor is the factor of 24, 56 and 16. Since 16x only has the power of 1, then then the answer should be on power of 1.

Answer:

Given the 24x⁵ - 56x³ + 16x contains numbers and variables, there are two steps to finding the GCF. Find the GCF for the numeric part, then find the GCF for the variable part.

Steps to find the LCD of 24x⁵ - 56x³ + 16x

Find the common factors of the numerical part: 24, −56, 16

The factors for 24 are −24,−12,−8,−6,−4,−3,−2,−1,1,2,3,4,6,8,12,24.

The factors for −56  are−56,−28,−14,−8,−7,−4,−2,−1,1,1,2,2,4,4,7,7,8,8,14,14,28,28,56,56.

The factors for 16  are −16,−8,−4,−2,−1,1,2,4,8,16.

List all the factors 24,−56,16 to find the common factors.

The common factors for 24,−56,16 are −8,−4,−2,−1.−8,−4,−2,−1

The GCF of the numerical part is 8.

[tex]\bf{GCF_{Numerical}=8 }[/tex]

Then find the common factors for the variable part:

x⁵, x³, x

The factors for x⁵ are:

x · x · x · x · x

The factors for x³ are:

x · x · x

The factors for x¹ are:

x

List all the factors x⁵, x³, x¹ to find the common factors.

x⁵ = x · x · x · x · x

x³ = x · x · x

x¹ = x

The common factor of the variables x⁵, x³, x¹ is x.

The LCD of the variable part is x.

[tex]\bf{GCF_{Numerical}=x }[/tex]

Multiply the LCD of the numerical part 8 and the GCF of the variable part x.

8x

Answer:

[tex]6y^1^6[/tex]

Step-by-step explanation:

I hope this has Helped :)

By applying algebra, radical and power properties, we find that the simplified form of (√2 + √3) · (√5 - √7) is equal to √10 + √15 - √14 - √21. (Correct choice: B)

Herein we need to apply algebra and radical and power properties to simplify the expression described in the statement, whose procedure is shown below:

By applying algebra, radical and power properties, we find that the simplified form of (√2 + √3) · (√5 - √7) is equal to √10 + √15 - √14 - √21. (Correct choice: B)

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Answer:

B is correct

Step-by-step explanation:

Cus I said so

The inverse of the function f(x) = 2x - 10 is f-1(x) would be x/2 + 5.

Lets try to solve it,

We will be using the inverse function to solve this.

f(x) =[tex]2x - 10[/tex]

Replace f(x) with y.

[tex]y = 2x - 10[/tex]

Interchange x and y

[tex]x = 2y - 10[/tex]

Solve for y

[tex]y = (x + 10) / 2[/tex]

Replace y with f-1(x).

[tex]f-1(x) = x/2 + 5[/tex]

Thus, the inverse of the function f(x) = 2x - 10 is f-1(x) = x/2 + 5

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Answer

Step by step explanation

Answer:

Step-by-step explanation:

cost of 25 kg =262.50x25

                      =6562.5

The simple interest is $24.75.

The simple interest that is paid on an amount of money is a function of the amount deposited, time and interest rate.

Simple interest = amount deposited x time x interest rate

$375 x 0.022 x 3 = $24.75

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Answer:

The choice D.

[tex]f(x) = 3 {(0.2)}^{x} [/tex]

Answer:

D

Step-by-step explanation:

Order of elimination:

1. the graph is going down exponentially. This means that the base is less than 1.

A and C are eliminated.

2. When x is equal to 0, f(x) = 3.

Substitute x for 0, and you'll find out that the only one possible is D.

Answer:

Which of the following completes Ted's proof?

In square ABCD; angle ADC = angle BCD

In square ABCD; angle ADP = angle BCP

In triangles APD and BPC; angle ADC = angle BCD

In triangles APD and BPC; angle ADP = angle BCP\

Answer:

x + 6

Step-by-step explanation:

consider the x- coordinates of the right angle

x- coordinate of A = - 4

x- coordinate of B = 2

then

| 2 - (- 4) | = | 2 + 4 | = | 6 | = 6

the x- coordinate has been shifted 6 units to the right , so the rule is

x + 6

Hope this helps you

........

Answer:

D

Step-by-step explanation:

The domain are the x values. When you plug those values into the equation, you get 34, 6, 22.

3(-3²) - 2(-3) + 1                     Negative * Negative = Positive

3(9) + 6 + 1

34

3(-1²) - 2(-1) + 1

3 + 2 +1

6

3(3²) -2(3) + 1

3(9) - 6 + 1

22

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The value of f(x) when the value of x is 9 is 38.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The given data points are in a linear relation, therefore, if we find the slope of the line on which these data points will be located. Then the slope will be,

m = (17-5)/(2+2) = 3

Now, equate any point and the slope in the general equation of line, therefore, the equation will be,

y = 3x + c

17 = 3(2) + c

17 - 6 = c

c = 11

Further, the value of f(x) when the value of x is 9 will be,

f(x) = 3x + 11

f(9) = 3(9) + 11

f(9) = 38

Hence, the value of f(x) when the value of x is 9 is 38.

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Answer:

x(x - 2)

Step-by-step explanation:

x² - 2x ← factor out x from each term

= x(x - 2)

Answer:

The answer is figure A, B, C, D.

Step-by-step explanation:

Because, polygon means a shape with more then 1 side, and in your pic all of the figures have more than one side, so that's the answer.

Answer:

98

Step-by-step explanation:

There are 180 degrees in a triangle.

180 - 53 - 29 = 98

1. The range of the given function y = 3x² for the given domain: {- 2, - 1, and 0} is {12, 3, 0}.

2. The range of the given function y = 8x + 1, where x > 2 is (17, ∞).

3. The range of the given function y = 5x + 2, where x > -2 is (- 8, ∞).

We know that the range of a function is the entire set of all possible values for the dependent variable (typically y), after substituting the domain.

1. For the function y = 3x²,

Here the domain is {- 2, - 1, and 0}. So, we have to find the y values for the x values - 2, - 1, and 0 to find the range of the function.

Now, at x = - 2,

y = 3(- 2)² = 3 × 4 = 12

At x = - 1,

y = 3(- 1)² = 3 × 1 = 3

At x = 0,

y = 3(0)² = 3 × 0 = 0

So, the range of this function is {12, 3, 0}.

2. Now, for the function y = 8x + 1,

At x = 2,

y = 8 × 2 + 1 = 16 + 1 = 17

Since the domain is x > 2, we can say that the range set will contain values greater than 17.

So, the range of this function is (17, ∞).

3. For the function y = 5x + 2,

Now, at x = - 2,

y = 5 × (- 2) + 2 = - 10 + 2 = - 8

Since the domain is x > - 2, we can say that the range set will contain values greater than - 8.

So, the range of this function is (-8, ∞).

1. Therefore, the range of the given function y = 3x² for the given domain: {- 2, - 1, and 0} is {12, 3, 0}.

2. The range of the given function y = 8x + 1, where x > 2 is (17, ∞).

3. The range of the given function y = 5x + 2, where x > -2 is (- 8, ∞).

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The value of a is 1 if the area of square ABCD is 10 cm² showing that x²+6x=a where a is a constant.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

The question is incomplete.

The question is:

The area of square ABCD is 10 cm² showing that x²+6x=a where a is a constant to be found.

The missing figure is attached; please refer to the picture.

As we can see in the figure we have given a rectangle.

Area of rectangle = (3 + x)(3 + x)

10 = (3 + x)(3 + x)

or

10 = (3 + x)²

10 = 9 + 6x + x²

After rearranging:

x² + 6x = 1

We have equation:

x² + 6x = a

After comparing:

a = 1

Thus, the value of a is 1 if the area of square ABCD is 10 cm² showing that x²+6x=a where a is a constant.

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Answer:

170

Step-by-step explanation:

each little mark is adding 20 to the 100 you see there and because the arrow is pointing somewhere in between two of the marks, it means it's just adding 10. Now you have to add 100 + the marks + 10

* remember you have three marks and each one of them is equal to 20 so when you add them, you get 60.

100 + 60 + 10 = 170

Answer:

4064265.104

Step-by-step explanation:

Use PEMDAS :

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

We only have multiplication and addition/subtraction to do. Multiplication and Division can go in either order depending on which comes first reading left to right. It's the same with Addition and Subtraction: we will first subtract 918 and then add 12.5.

Let's start by Multiplying. 391.92 x 10372.45 = 4065170.604.

Now, subract 918. 4065170.604-918 = 4064252.604.

Finally, add back 12.5. 4064252.604. +12.5 = 4064265.104 !