Answer:
The correct option is C) 21.1 and 0.68
Step-by-step explanation:
Consider the provided information.
The mean composite score was 21.1 with a standard deviation of 4.8. The ACT composite score ranges from 1 to 36, with higher scores indicating greater achievement in high school.
Therefore μ = 21.1 and σ = 4.8
It is given that the sample of 50 students;
Thus, sample size ( n ) = 50
According to the central limit theorem,

Therefore



Hence, the correct option is C) 21.1 and 0.68
<span>I : 2n + 1
II : 2n + 3
III : 2n +5
(2n + 1) + (2n + 3) +(2n+5)=63
6n+9=63
n=9
I : 2n+1=9*2+1=19
II : 2n+3=9*2+3=21
III : 2n+5=9*2+5=23
19+21+23=63
</span>
Answer:
the solution to this inequality is: (-6,∞).
Step-by-step explanation:
<em> " Isolating the variable means rewriting an equivalent equation in which the variable is on one side of the equation and everything else is on the other side of the equation ".</em>
<em>Here we are given an inequality as:</em>
<em> 4x + 4 > –20</em>
<em>so subtracting both side by 4 we have:</em>
4x>-20-4
4x>-24
x>-6 (dividing both side by 4)
Hence we get the solution on the number line as:
all those real number which are strictly greater than -6; In intervals we can write this as:
(-6,∞).
Answer:
25
Step-by-step explanation:
Since the x values are the same
the distaance is simply the difference in the y values
23 - (-2) = 25
Answer:
∠F=56.5⁰
Step-by-step explanation:
It forms a right angled triangle.
The base of the triangle is given as 7.7 feet
The perpendicular of the triangle is given as 5.1 feet.
Find ∠E where
tan∠E=perpendicular/base
tan∠E=7.7/5.1
∠E=33.518
Find ∠F by substracting ∠G and ∠E from 180,
∠F=180-90-33.518
∠F=56.482
Round off to nearest tenth
∠F=56.5