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jeka57 [31]
3 years ago
7

Your cell phone company charges $20 a month plus $0.50 per text message. Write an equation to find your total bill based on the

number of text messages sent.
Mathematics
1 answer:
zhenek [66]3 years ago
7 0

Answer:

S = 20 + 0.5*x (S is the total bill, x is the number of text messages)

Step-by-step explanation:

The cell phone company have a fixed value you have to pay every month, independently of the number of text messages you send, and that is $20.

For each text message, you pay an additional %0.50.

So, if you send 'x' text messages in a month, you will pay the fixed $20 plus $0.5 for each text messages: you will pay 0.5 times x for the messages.

So, we can formulate the following equation:

Being "S" the total price you will pay:

S = 20 + 0.5*x

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QUESTION 1 The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.Assume that the driving
GarryVolchara [31]

Answer:

P(X>300)

And we can find this probability with the complement rule:

P(X>300)= 1-P(X

Step-by-step explanation:

For this case we define the random variable X ="driving distance for the top 100 golfers on the PGA tour" and we know that:

X \sim Unif (a=284.7, b=310.6)

And for this case the probability density function is given by:

f(x) =\frac{1}{310.6 -284.7} =0.0386 , 284.7 \leq X \leq 310.6

And the cumulative distribution function is given by:

F(x) =\frac{x-284.7}{310.6-284.7} , 284.7 \leq X \leq 310.6

And we want to find this probability:

P(X>300)

And we can find this probability with the complement rule:

P(X>300)= 1-P(X

6 0
3 years ago
Suppose Mahkah makes a Native American lunch in a pot that is shaped like a right cylinder. If
Harman [31]

The pot can hold 5.23 quarts

Step-by-step explanation:

  • Step 1: Find the volume of the right cylinder shaped pot.

Diameter of the pot = 8 in

⇒ Radius = 4 in

Height = 6 in

⇒ Volume of the pot = πr²h = 3.14 × 4² × 6

                                   = 301.44 in³

  • Step 2: Convert inches to quarts.

1 in³ = 0.017316 liquid quarts

⇒ 301.44 in³ = 301.44 × 0.017316 = 5.23 quarts

6 0
3 years ago
The quadratic equation 2x^2 + bx + 18 = 0 has a double root. Find all possible values of b.
Doss [256]
When a quadratic equation ax^2+bx+c has a double root, the discriminant,
D=b^2-4ac=0
Here 
a=2,
b=b,
c=18
and 
D=b^2-4ac=b^2-4*2*18=0 
solve for b
b^2-144=0
=> b= ± sqrt(144)= ± 12

So in order that the given equation has double roots,  the possible values of b are ± 12.
4 0
3 years ago
Kayla drives 15 miles in 20 minutes. If she drove one hour in total at the same rate,
Rudik [331]

Answer:

45 miles

Step-by-step explanation:

first divide miles/minutes: 15 / 20 = 0.75

then multiply: 0.75 x 60 = 45

3 0
3 years ago
Write an expression with a variable m, a coefficient -3, and a constant of 17
Svetlanka [38]

Answer

-3m + 17

Step-by-step explanation:

A coefficient is a number that goes in front of the variable, so -3 would go in front of m. A constant is just a number on it's own, so it would be +17

6 0
3 years ago
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