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REY [17]
2 years ago
14

Lieutenant James made an average of 3 arrests per week for 4 weeks. How many arrests does she need to make in the fifth week to

raise her average to 4 arrests per week?
Mathematics
1 answer:
tankabanditka [31]2 years ago
3 0

Answer:

5

Step-by-step explanation:

We want the average arrests to be 4. It can be done by calculating the average between the average arrests and arrests during the 5th week, so we get:

Avg(1,2,3,4,5) = (Avg(1,2,3,4) + A(5)) / 2

Where Avg(x) is the average of arrests in given weeks, and A(x) is the number of arrests in a given week.

Solving for A(5) => A(5) = 2*Avg(1,2,3,4,5) - Avg(1,2,3,4) = 2 * 4 - 3 = 8-3 = 5

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Recall that an American Roulette wheel has 38 possible outcomes, 18 black, 18 red and 2 green. The numbers go from 1 to 36, and
weqwewe [10]

Answer:

American Roulette

1. The probability of losing a  ’1st 12’ bet on a single spin is:

= 0.67

2. The probability of winning 7 out of the 10 total bets is:

= 0.23

Step-by-step explanation:

Possible outcomes in an American Roulette wheel = 38

Make-up of the outcomes = 18 black, 18 red and 2 green

Green outcomes are numbered 0 and 00

Number of wins for this person = 12

Probability of winning = 0.33  (12/36)

Number of possible losses for this person = 24

Probability of losing = 0.67 (24/36)

1. The probability of losing a  '1st 12' bet on a single spin is:

= (36 - 12)/36

= 0.67

2. The probability of winning 7 out of the 10 total bets is:

Probability of winning = 12/36 * 7/10

= 0.23

3 0
3 years ago
Consider the quadratic function:
sdas [7]

Answer:

Step-by-step explanation:

I'm not sure how you are finding this in class, but the easiest way by far is to use the expressions for h and k:

h=\frac{-b}{2a}  and

k=c-\frac{b^2}{4a}

(Just a fun fact:  Those expressions come from the quadratic formula that help us to factor a quadratic equation.)

Filling in for h:

h=\frac{-(-8)}{2(1)}  simplifies to

h = \frac{8}{2}=4

Filling in for k:

k=-9-\frac{(-8)^2}{4(1)}  which simplifies a bit to

k=-9-\frac{64}{4}  which simplifies a bit more to

k=-9-16=-25

The vertex, then, is (4, -25).

You would also find this if you completed the square.  But again, I'm not sure how you're solving for the vertex in class.

8 0
2 years ago
good morning :) The rental car holds 22 gallons of gas and gets 20 miles per gallon. The trip to Ellis City is 1760 miles. How m
Effectus [21]
1760/ 20 = 88
88/22 = 4
answer = 4
6 0
3 years ago
It takes Ebru 131313 minutes to bike to school. If she walks, it takes her twice as long. Ebru leaves for school at 7{:}157:157,
sdas [7]

Answer: 7:41 am

Step-by-step explanation:

It takes Ebru 13 minutes to bike to school but if she walks it would take her twice at long.

= 13 * 2

= 26 minutes

If she leaves the house at 7:15 , she will arrive at:

= 715 + 26

= 7:41 hours

3 0
2 years ago
A film student wants to capture a shot of a satellite dish placed at the top of a building. The line of sight between the ground
Vlad1618 [11]

Answer:

34.78 feet

Step-by-step explanation:

1) using the cosine function, I did cos(43)=x/51

This is because cosine is equal to adjacent over hypotnuse

Once I found x, I used the pythagorean theorem to get 34.78 feet

3 0
3 years ago
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