Step-by-step explanation:
3(2x - 5) = 4(x+3)
Distribute. Multiply 3 by 2x so the product keeps the variable, multiply 3 by 5 and keep the subtraction symbol. Multiply 4 by x so it would be 4x, multiply 4 by 3
(6x-5=4x+12) Answer
Car insurance companies want to keep track of the average cost per claim. The current data in use for Auto Insurance R Us is an average of $2,200 for each claim with a standard deviation of $500. With this average, the company can stay competitive with rates but not lose money. However, the statistician for the company believes that the cost of the average claim has increased. He pulled 40 recent claims and found the average to be $2,350. Which most restrictive level of significance would suggest that the company should raise rates? Upper-Tail Values a 5% 2. 5% 1% Critical z-values 1. 65 1. 96 2. 58 1% 2. 5% 5% 10%.
Answer:
<u>The correct answer is 3.77 strokes as the average score for the ninth hole of the Cottonwood Golf Course.</u>
Step-by-step explanation:
1. To find the average score, we need to know how many strokes the 75 golfers needed to play this ninth hole. For doing that, we will do the following addition, using the frequency data given:
1 x 1 = 1
1 x 2 = 2
32 x 3 = 96
27 x 4 = 108
8 x 5 = 40
6 x 6 = 36
1 + 2 + 96 + 108 + 40 + 36
<u>283</u>
<u>This means that all the 75 golfers scored 283 strokes for playing the ninth hole</u>
2. Now that we know that the total number of strokes was 283, we will do a division for find the average score, using also the number of golfers. For doing it, we will do the following division:
Total number of strokes/ total number of players
<u>283/75 = 3.77</u>
<u>The average score is 3.77. It means that the 75 golfers in average hit 3.77 strokes to play the ninth hole.</u>
Answer:
Explanation:
This is an exponential growing: there is a constant growing<em> factor </em>which multiplies the value number of letters sent every week.
The growing factor <em>4 letters every 9.1 weeks</em> means that every 9.1 weeks the number of letters is multiplied by 4.
Then, if the number of weeks is t, the number of times the number of letters increase is t/9.1.
Then, the exponential<em> function</em> <em>that models the number of people who receive the email t weeks since Tobias initially sent the chain letter</em>, has the form:
<em>Tobias initially sent the chain letter to 37 friends</em>; thus, the initial value is 37, and the complete function is:
, where t is the number of weeks since Tobias initially sent the chain letter.
This is a modulus inequality.
First part: when (6x + 2) is positive
6x + 2 < 10
6x < 10 - 2
6x < 8
x < 8/6
x < 4/3
Second part: when (6x + 2) is negative.
-(6x + 2) < 10 Divide both sides of inequality by -1 and change the sign.
(6x + 2) > -10
6x + 2 > -10
6x > -10 - 2
6x > -12 Divide both sides by 6.
x > -12/6
x > -2.
Combined solution: x < 4/3 and x > -2
-2 < x < 4/3.
Graph is a line on the number line between -2 and 4/3.
-2 and 4/3 are excluded from solution.
