<em>x =1/3</em>
- Step-by-step explanation:
<em>25ˣ⁺¹ = 125/5ˣ</em>
<em>5²⁽ˣ⁺¹⁾ = 5³/5ˣ</em>
<em>5²⁽ˣ⁺¹⁾ = 5³ : 5ˣ</em>
<em>5²⁽ˣ⁺¹⁾ = 5³⁻ˣ</em>
<em>2(x + 1) = 3 - x</em>
<em>2x + 2 = 3 - x</em>
<em>2x + x = 3 - 2</em>
<em>3x = 1</em>
<em>x = 1/3</em>
Answer:
100+0.30p
hope this helps
have a good day :)
Step-by-step explanation:
Answer: 
<u>Step-by-step explanation:</u>
Parabola Skate Rental: 4.50x + 35
Arc Hawk Skate Rental: 5.25x + 25
If you want to know when their cost will be the same, set the equations equal to each other.
5.25x + 25 = 4.50x + 35
0.75x + 25 = 35 <em>subtracted 4.50x from both sides</em>
0.75x = 10 <em>subtracted 25 from both sides</em>
<em>divided both sides by 0.75</em>
x =
<em>simplified the fraction</em>
The rate of change of the risk of down syndrome (in percentage of births per year) is
r(x) = 0.004641x² - 0.3012x + 4.9, 20≤ x ≤ 45
where
x = maternal age at delivery.
The function giving risk as a percentage of births when maternal age is x is the integral of r(x). That is,
f(x) = 0.001547x³ - 0.1506x² +4.9x + c
When x = 30, f = 0.14%. Therefore
0.001547(30³) - 0.1506(30²) + 4.9(30) + c = 0.14
41.769 - 135.54 + 147 + c = 0.14
c = -53.089
Answer:
f(x) = 0.001547x³ - 0.1506x² + 4.9x - 53.089, 20 ≤ x ≤ 45
The function is graphed as shown below.
Answer: 0.2551
Step-by-step explanation:
Given : The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean μ, the actual temperature of the medium, and standard deviation σ.
Significance level : 
The critical z-value for 95% confidence :
(1)
Since ,
(where x be any random variable that represents the temperature reading from a thermocouple.)
Then, from (1)
(2)
Also, all readings are within 0.5° of μ,
i.e. 
i.e.
[From (2)]
i.e.
i.e.
The required standard deviation : 