Two friends argue over who brushes their teeth more often. To settle the
argument, they keep track of the number of mornings and nights they brush
and calculate a probability. These are shown in the table.
Probability of brushing
in morning
Probability of brushing
in evening
Braxton
0.72
0.85
Arabella
0.82
0.79
Who is more likely to brush both morning and evening? Assume all events are
independent.

Answer: f(7) = -128

g(7) =  26

Equation of f(x):  f(x)= -11x-51

Equation of g(x): g(x)=3x+5

Step-by-step explanation:

Rate of change of a function: [tex]\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

From the table. Rate of change in f(x)= [tex]\dfrac{f(1)-f(0)}{1-0}=\dfrac{-62+51}{1}=-11[/tex]

Rate of change in g(x)= [tex]\dfrac{g(1)-g(0)}{1-0}=\dfrac{8-5}{1}=3[/tex]

Also, the rate of change throughout the function is the same, hence both are linear functions.

Equation of linear function:  [tex]f(x)=mx+c[/tex], where m= rate of change of function, c = f(x) at x=0.

From table, f(0)= -51 , g(0)=5

Equation of f(x): f(x)= -11x-51

Equation of g(x): g(x)=3x+5

f(7) = -11(7)-51 = -77-51 = -128

g(7) = 3(7)+5 = 21+5 = 26

f(7) = -128

g(7) =  26

125 x (5^4)7 as a single power of 5 is 28*5^4.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

125 x (5^4)7

Now, 125 x (5^4)7

=125x140

=17500

=28*5^4

Therefore, by algebra the answer will be 28*5^4.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ5

Answer:

x=20

Step-by-step explanation:

Well just cross multiply if its easier

x(3)=3x

12*5=60

60=3x

x=20

Answer:

2/7 is the scale factor.

Step-by-step explanation:

All you have to do is get two sides that are equal to each other. Let's say Side SR and YX. 3 and 10.5. Do 3/10.5, which is 30/105, which simplified is 6/21, which again simplified is 2/7. So, the scale factor is 2/7.

Answer:

(1/2,0) is one solution

(-4/3,0) is the other solution.

Step-by-step explanation:

i hope this helps you it might not be right

Answer:

angle 4 is congruent to angle 7

angle 8 is congruent to angle 3

angle 2 is congruent to angle 5

angle 1  is congruent to angle 6

Step-by-step explanation:

alternate exterior angles are congruent, which means identical

Answer:

17.39%.

Step-by-step explanation:

As a percentage (rounded to two decimal places):

A decrease of 17.39%.

Answer:

1300.62

Step-by-step explanation:

thank me later lolol.

Answer:

The answer is ten. Perimeter is all the sides added together. Area is length times width.

Step-by-step explanation:

Where's my cookie?

Answer:

To find perimeter, all you need to do is length times width. In this case, that's 4 + 1

Your answer is 5 in.

Answer:I think the answer is x=27

Step-by-step explanation:

.......................................................

Answer: 61.2 centimeters

Step-by-step explanation:

Since the equation given to show the amount of framing that she needs for a square frame with a side length of s centimeters is:

f = 4s

Therefore, the number of centimeters of framing needed by Paulette for a square frame that has a side length of 15.3 centimeters will be:

f = 4s

f = 4 × 15.3

f = 61.2 centimeters

Answer: 1/4 pounds

Step-by-step explanation:

Full question is:

Landon and Colin bought a 1/2 pound of peanuts. They are sharing the nuts equally. How many pounds of peanuts will each person get?​

There are 2 people here - London and Colin - and they are to share 1/2 pounds of nuts equally amongst themselves.

They should therefore divide the nuts in 2:

= Amount of nuts / Number of people

= 1/2 ÷ 2

= 1/2 * 1/2

= 1/4 pounds

Note: When dividing a fraction, multiply the inverse of the divisor.

Answer:

Number of pizza deliver on Saturday = 14 pizza

Step-by-step explanation:

Given:

Number of delivery day (Friday, Saturday) = 2

Number of pizza deliver on Friday = 8

Average of delivery (Mean) = 11 pizza

Find:

Number of pizza deliver on Saturday

Computation:

Mean = Sum of pizza / Number of delivery day

11 = [8 + Number of pizza deliver on Saturday] / 2

22 = 8 + Number of pizza deliver on Saturday

Number of pizza deliver on Saturday = 22 - 8

Number of pizza deliver on Saturday = 14 pizza

Answer:

1/18

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

I am guessing you want the area of the parallelogram.

Take the longer side to be the base.

Area = base * distance between base and opposite side

=  26 * 12.5

= 325 cm^2.

Answer:

8 + 4

Step-by-step explanation:

It is a fact family.

Answer:

12= 4+8

Step-by-step explanation:

The cost of petrol the car used in October is;

Amount spent on fuel in October = £79.76

Distance sally drove in October = 560 miles

She used 1 gallon of petrol for every 34.5 miles she drove.

Thus, number of gallons of petrol she used for the month of October on the car = 560/34.5 gallons

Now, we are told that;

1 gallon = 4.55 litres

Thus; 560/34.5 gallons = (560/34.5) × 4.55/1

Quantity of petrol she used for the month in liters = 73.855 litres

Petrol costs £1.08 per liter.

Thus;

Amount spent on fuel in October = 1.08 × 73.855

Amount spent on fuel in October = £79.7634 ≈ £79.76

Read more at; https://brainly.com/question/22940138

Answer:

14

Step-by-step explanation:

there are two days whose mean is 11.for you to get the mean of 11 you had divided by 2

multiply 11 by 2 which is 22

then minus fridays which is 8

Answer:

where is the question

Step-by-step explanation:

Answer:

The volume of the ice cream cone is 528.1 cubic centimeters.

Step-by-step explanation:

The formula for finding the volume of a cone is V = [tex]\pi r^2\frac{h}{3}[/tex].

Substitute values now:

V = [tex]\pi* 5.8^2*\frac{15}{3}[/tex]

V ≈ 528.1

Answer:

BCD

Step-by-step explanation:

I AM RIGHT

m is equal to n, there is only one vertical asymptote and -y = –1 is the horizontal asymptote are correct. Therefore, the correct option is option B,C,D.

A function in mathematics from such a set X to either a set Y allocates precisely 1 element of Y to every element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

A planet's position, for instance, depends on time. In the past, the idea was developed with both the infinitesimal calculus toward the conclusion of the seventeenth century, as well as the functions that were taken into consideration were differentiable until the 19th century. Just at end of the 18th century, set theory was used to formalize the idea of a function. m is equal to n, there is only one vertical asymptote and -y = –1 is the horizontal asymptote are correct.

Therefore, the correct option is option B,C,D.

To know more about mathematical function, here:

https://brainly.com/question/12195089

#SPJ7

Answer:

2839.4 meters

Step-by-step explanation:

Given that:

Altitude = 1200 m

Using trigonometry :

The distance from point P to the airplane :

Using trigonometric relation :

Sin θ = opposite / hypotenus

Sin θ = altitude / x

Sin θ = 1200 m / x

Sin 25 = 1200 / x

0.4226182 = 1200 / x

x = 1200 / 0.4226182

x = 2839.4423

Distance from P to airplane = 2839.4 meters

Answer:

Step-by-step explanation:

A dilation is when you have an original shape and them it shrinks/grows. One, three, and four are all dilations. They all have an original and then from what i see they grow. Two is not a dilation.