<span>12.6≤<span>g+17.4</span></span> Flip the equation.<span><span> g+17.4</span>≥12.6</span> Subtract 17.4 from both sides.<span><span><span> g+17.4</span>−17.4</span>≥<span>12.6−17.4</span></span><span> g≥<span>−4.8</span></span> Answer: <span>g≥<span>−<span>4.8</span></span></span>
Complete question :
The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and a standard deviation of .29.Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.
Answer:
0.10868
Step-by-step explanation:
Given that :
Mean (m) = 3.02
Standard deviation (s) = 0.29
Sample size (n) = 20
Probability of 3.10 GPA or higher
P(x ≥ 3.10)
Applying the relation to obtain the standardized score (Z) :
Z = (x - m) / s /√n
Z = (3.10 - 3.02) / 0.29 / √20
Z = 0.08 / 0.0648459
Z = 1.2336940
p(Z ≥ 1.2336) = 0.10868 ( Z probability calculator)
Answer:
Becky needs approximately 3 containers to fil the vase up to 75%.
Step-by-step explanation:
In order to solve this problem we first need to calculate the volume of the container as shown below:
volume = pi*r²*h = pi*5²*10 = 250*pi = 785 cm³
Since becky wants to fill 75% of the vase capacity, she needs to fill:
goal = 2800*75/100 = 2100 cm³
Therefore Becky needs a total of
containers = goal/volume
containers = 2100/785 = 2.67
Becky needs approximately 3 containers to fil the vase up to 75%.
Answer:
11/4+3/6 =13/4or 3 1/4
Step-by-step explanation:
(11*6) + (3*4)
4*6
78/24
78/6=13
24/6=4
13/4 or 3 1/4
13/4=3 1/4
5.8 × 10⁻¹ = 0.58
7.4 × 10⁰ = 7.4
0.58 - 7.4 = -6.82
so
(5.8 × 10⁻¹) - (7.4 × 10⁰) = -6.82 × 10⁰
