<h3>The time in fourth race is 43.04 seconds</h3>
<em><u>Solution:</u></em>
Given that,
Shelly is trying to improve her running time for a track race
She ran the first race in 43.13 seconds
Her time was 43.1 seconds in the second race and 43.07 seconds in the third race
<em><u>Therefore, pattern is:</u></em>
43.13, 43.1, 43.07 , ..
<em><u>Find the difference between each terms</u></em>
d = 43.13 - 43.1 = 0.03
d = 43.1 - 43.07 = 0.03
Thus the difference is same
<em><u>If this pattern continues what will shellys time be in the fourth race?</u></em>
Fourth race = third race - 0.03
Fourth race = 43.07 - 0.03 = 43.04
Thus the time in fourth race is 43.04 seconds
When we take the square root of each side, the equation would become:
abs (x+2) = 2
⇒ x+2 = <span>±2.
The final answer is </span><span>x + 2 = ±2.
</span>
Hope this helps~
Answer:
∠XYZ = 74°
Step-by-step explanation:
∠XYZ = 
arcXZ
∠XYZ = 148°
∠XYZ = 74°
Answer:
The company should guarantee a lifetime of less than equal to 20.95 years so that less than 3% of the television sets fail while under warranty.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 36 years
Standard Deviation, σ = 8 years
We are given that the distribution of life of television sets is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.03.
Calculation the value from standard normal z table, we have,
Thus, the company should guarantee a lifetime of less than or equal to 20.95 years so that less than 3% of the television sets fail while under warranty.
7(12 1/3) + 8(12 1/3 + 1/4) = 3(6(12 1/3) - 9) - 8
12 1/3 = 12.33
1/4 = 0.25
7(12.33) + 8(12.33 + 0.25) = 3(6(12.33) - 9) - 8
86.31 + 8(12.58) = 3(73.98 - 9) - 8
86.31 + 100.64 = 3(64.98) - 8
186.95 = 186.94 - 8
186.95 ≠ 178.94
False. The x, when 12 1/3 does not work inside this equation
hope this helps
