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xz_007 [3.2K]
3 years ago
11

Josiah cell phone plan allows a number of minutes of air time for $20 a month each minute costs 0.02 $ how many minutes of air t

ime is he allowed?
Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0

Given parameters:

Cost of cell phone plan per minute  = 0.02$/min

Amount in a month  = $20

Unknown:

Number of minutes allowed per month?

Solution:

 The number of minutes = \frac{amount per month}{rate per call}

     Input the parameters and solve;

                                         = \frac{20}{0.02}

                                         = 1000min

The number of minutes allowed per month is 1000min

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Which ordered pair makes both inequalities true? y > –2x + 3 y < x – 2 On a coordinate plane, 2 straight lines are shown.
ivolga24 [154]

Answer:

(3,0)

Step-by-step explanation:

6 0
2 years ago
Assume you are planning a picnic for lunch, but when you woke up there were rain clouds in the sky. If 50% of rainy days start w
Tasya [4]

Answer:

0.25 = 25% probability that it will rain today and ruin your picnic

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Cloudy skies

Event B: Rain

20% of all days start with clouds in the air

This means that P(A) = 0.2

50% of rainy days start with rain clouds in the air

50% of 10%. So

P(A \cap B) = 0.5*0.1 = 0.05

What is the probability that it will rain today and ruin your picnic

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.2} = 0.25

0.25 = 25% probability that it will rain today and ruin your picnic

3 0
3 years ago
A survey was taken of 100 potential voters, asking them which candidate they would vote for in a local election. The results are
In-s [12.5K]
Candidate X won 63 out of the 100 "votes" of the poll participants.

So candidate X won 63% of the votes in the poll. 


This means that candidate X is expected to win the elections by a percentage close to 63%.

63% of the voters is (63/100)*5000=63*50=3150 voters


Answer: 3150


7 0
3 years ago
A local salesman receives a base salary of $975 monthly. He also receives a commission of 7% on all sales over $1250. How much w
slava [35]

Answer:

  $17,321.43

Step-by-step explanation:

The amount of monthly income from commissions would have to be ...

  $2100 -975 = $1125

This is 7% of sales over $1250, so the sales (s) would need to be ...

  1125 = 0.07(s -1250)

  1125 = .07s -87.50 . . eliminate parentheses

  1212.50 = 0.07s . . . . add 87.50

  17,321.43 = s . . . . . . . divide by 0.07

He would have to sell $17,321.43 in a month if he needed an income of $2100.

8 0
3 years ago
A satellite dish is shaped like a paraboloid of revolution. The signals that emanate from a satellite strike the surface of the
allochka39001 [22]

Answer:

The receiver must be placed at a distance of 6.125 ft from the center.

Step-by-step explanation:

The dish is of parabola shape with the length of 14 feet and 2 feet deep from the center.

A parabola is a curve which is a set of all points in the plane which are at equal distance away from a given point called focus and given line called directrix.

We have to find out the point at which all the waves comes to one point where the receiver must be placed is the focus of the parabola.

The above scenario is shown in the image which can be converted in mathematical graphical representation of the parabolic curve.

The extreme two end points becomes, (-7,2) and (7,2)

The general equation for such parabola is:

x² = 4ay

where, a is the distance from the center and the focus.

Since, (7,2) satisfy the equation so,

7² = 4a×2

a = 49 /8

Thus,

<u>The receiver must be placed at a distance of 6.125 ft from the center.</u>

5 0
3 years ago
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