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ruslelena [56]
3 years ago
7

The positions of two divers from the water’s surface after a dive are shown:

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
4 0
Sal: −38 feet
Sam: −45 feet
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According to the U.S. Department of Education. Institute of Education Sciences, National Center for Education Statistics 1,026,0
Andreyy89

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,

\mu_{\bar x}=\mu\ and \ \sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

Therefore

\mu_{\bar x}=21.1

\sigma_{\bar x}=\frac{4.8}{\sqrt{50}}

\sigma_{\bar x}=0.68

Hence, the correct option is C) 21.1 and 0.68

7 0
3 years ago
You can represent an odd integer with the expression 2n+1, where n is any integer. write and solve an equation to find three con
Igoryamba
<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>
5 0
3 years ago
Isolate the variable to solve 4x + 4 &gt; –20. Which number line shows the solution set?
sdas [7]

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,∞).

3 0
3 years ago
Read 2 more answers
Point A is located at (-23, -2). Point B is located at (-23,23). What is the distance
vaieri [72.5K]

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

5 0
2 years ago
In ΔEFG, the measure of ∠G=90°, FG = 5.1 feet, and GE = 7.7 feet. Find the measure of ∠F to the nearest tenth of a degree.
BlackZzzverrR [31]

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

8 0
3 years ago
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