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Degger [83]
3 years ago
15

Determine the mean, median, mode, and range for the data set:

Mathematics
1 answer:
s2008m [1.1K]3 years ago
6 0

Answer:

Step-by-step explanation:

Mean (Average): 8

Median (Middle): 8

Mode (Most Common): 8

Range (Biggest - Smallest): 7

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You and another person are sunbathing on the beach near a lifeguard station. The other person chooses a spot that is the same di
Schach [20]

Answer: 26.8 feet

Step-by-step explanation:

In the figure attached you can see two right triangles  triangle ABD and a triangle ACD.

You are located at point B and the other person at point C.

The approximate height of the lifeguard station is <em>x</em>.

Keep on mind that:

tan\alpha=\frac{opposite}{adjacent}

Therefore:

<em>For the triangle ABD</em>:

tan(36\°)=\frac{x}{DC+11}    [EQUATION 1]

<em>For the triangle ACD:</em>

tan(46\°)=\frac{x}{DC}    [EQUATION 2]

Solve from DC from [EQUATION 2]:

DC=\frac{x}{tan(46\°)}

Substitute into [EQUATION 1] and solve for x:

tan(36\°)=\frac{x}{(\frac{x}{tan(46\°)}+11)}\\tan(36\°)(\frac{x}{tan(46\°)}+11)=x\\11*tan(36\°)=x-\frac{xtan(36\°)}{tan(46\°)}\\7.991=0.298x

x=26.81ft≈26.8ft

7 0
3 years ago
Identify which of these types of sampling is​ used: random,​ systematic, convenience,​ stratified, or cluster. To determine her
Artist 52 [7]

Answer:

achievements

Step-by-step explanation:

6 0
3 years ago
Solve the inequality and graph the solution<br> 7x ≥ -91
Alex Ar [27]

The solution is x \geq 13.

Solution:

Given inequality:

7 x \geq 91

Divide by 7 on both sides.

$\frac{7 x}{7} \geq \frac{91}{7}

x \geq 13

The solution is x \geq 13.

The image of the graph is attached below.

5 0
3 years ago
Given: p(a) =0.70, p(b)=0.60, p(a or b) =0.88. are a and b independent? (use your answer from question
allsm [11]

Answer:

Step-by-step explanation:

P(a or b) = P(a) + P(b) - P(a and b)

0.88 = 0.70 + 0.60 -  P(a and b)

P(a and b) = 1.30 - 0.88 = 0.42.

So the events a and b are not mutually exclusive.

4 0
2 years ago
Estimate 64,505+38,972
musickatia [10]
64,500+38,970, I think.
7 0
3 years ago
Read 2 more answers
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