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Lelu [443]
3 years ago
13

Jacob’s daily tips this work week were $99, $78, $58, $91, $90, and $68. Is Jacob correct in thinking that the mean best represe

nts how much money he makes in daily tips?
A. Yes, Jacob is correct. The mean amount he makes is $80.70 in a day.
B. Yes, Jacob is correct. The mean amount he makes is $85.20 in a day.
C. No, Jacob is not correct. The median amount he makes is $90.00 in a day.
D. No, Jacob is not correct. The median amount he makes is $84.00 in a day.
Mathematics
2 answers:
777dan777 [17]3 years ago
8 0

Answer: the answer is D

Step-by-step explanation:

i did the test

Neko [114]3 years ago
6 0

Answer:

D. No, Jacob is not correct. The median amount he makes is $84.00 in a day.

Step-by-step explanation:

In this case, the mean is not the best measure of this data.

We can see that there is one value lower than the rest, $58.  This brings the mean down.

With the value of $58, the mean is $80.70.  If we were to take this value out, the mean would be $85.20, which is higher.

Since the mean is brought down by this value, we should use the median.  The median of this data set is $84.

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From where Kiana is standing, she must look up at a 50° angle to see the top of a building. If she backs up 50 feet, she will ne
Morgarella [4.7K]
For this case, what we must do is solve the following system of equations:
 tan (50) = h / x
 tan (40) = h / (x + 50)
 Solving the system we have:
 (x + 50) * tan (40) = h
 (x) * tan (50) = h
 Matching:
 (x + 50) * tan (40) = (x) * tan (50)
 Rewriting:
 x (tan (50) - tan (40)) = 50 * tan (40)
 x = 50 * tan (40) / (tan (50) - tan (40))
 x = 118.9692621
 Substituting:
 h = (x) * tan (50)
 h = (118.9692621) * tan (50)
 h = 141.7820455
 Answer:
 
The height of the building is:
 
h = 141.7820455 ft
5 0
3 years ago
Read 2 more answers
PLEASE HELP!!!
pav-90 [236]

Answer:

45

Step-by-step explanation:

Have a nice day :)

3 0
3 years ago
Given the conditional statement ~p -> q which statement is logically equivalent?​
icang [17]

Any implication is logically equivalent to its contrapositive. In other words,

¬<em>p</em> ⇒ <em>q</em>   ⇔   ¬<em>q</em> ⇒ <em>p</em>

(¬ means the same thing as ~, "not")

To prove this: recall that

<em>p</em> ⇒ <em>q</em>   ⇔   ¬<em>p</em> ∨ <em>q</em>

This is because <em>p</em> ⇒ <em>q</em> is true if <em>p</em> is false, or both <em>p</em> and <em>q</em> are true, i.e.

<em>p</em> ⇒ <em>q</em>   ⇔   ¬<em>p</em> ∨ (<em>p</em> ∧ <em>q</em>)

Disjunction (∨ or "or") distributes over conjunction (∧ or "and"), so that

<em>p</em> ⇒ <em>q</em>   ⇔   (¬<em>p</em> ∨ <em>p</em>) ∧ (¬<em>p</em> ∨ <em>q</em>)

but ¬<em>p</em> ∨ <em>p</em> is always true, or a tautology, so we're just left with ¬<em>p</em> ∨ <em>q</em>.

Then

¬<em>p</em> ⇒ <em>q</em>   ⇔   <em>p</em> ∨ <em>q</em>

…   ⇔   <em>q</em> ∨ <em>p</em>

…   ⇔   ¬(¬<em>q</em>) ∨ <em>p</em>

…   ⇔   ¬<em>q</em> ⇒ <em>p</em>

4 0
3 years ago
A car travels 350 miles on 20 gallons of gasoline how many gallons will be used to travel 875 miles under the same conditions
slega [8]
1 mile in  0.0571 gallon

so, 875 mile in  0.0571 * 875 = 50 gallons

hope it helped


6 0
3 years ago
Read 2 more answers
1) a) Factorize: G(x) = (x+5)2 – 3x(x+5).
Arada [10]

Answer:

In bold.

Step-by-step explanation:

a.  (x+5)^2 – 3x(x+5)     x+5 is common

= (x + 5)(x + 5 - 3x)

= (x + 5)(5 - 2x)

b.  (x + 5)(5 - 2x) = 0

x = -5, 2.5.

2a.   Area of the square = (x + 5)^2

Area of triangle AEB

= 1/2 * base * height  

I am assuming that  H is the centre of AB , so

Area = x*x

= x^2.

2b

6x^2 = (x + 5)^2

6x^2 = x^2 + 10x + 25

5x^2 - 10x - 25 = 0

x^2 - 2x - 5 = 0

x = [-(-2) +/- sqrt(2^2 - 4*1*-5)] / 2

x = -1.45, 3.45.

 (we ignore the negative).

8 0
3 years ago
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