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bezimeni [28]
2 years ago
7

Solve for x.

Mathematics
1 answer:
exis [7]2 years ago
8 0

Answer:

11.2

Step-by-step explanation:

tan( <em>angle </em>) = <em>opposite / adjacent</em>

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Kaden works 5 days. The median number of hours he works is 3. The mean number of hours he works is 4.
alisha [4.7K]

Answer:

(a) 1, 2, 3, 6, 8

Step-by-step explanation:

Given

Median = 3

Mean = 4

Required

The sequence of hours worked each day

<em>See attachment for options</em>

From the question, we understand that:

Median = 3

This means that, the middle number is 3 (when sorted)

So, we can conclude that (b) and (c) cannot be true because their middle numbers are 6 and 5 respectively

Next, is to determine the mean of (a) and (d)

The mean of a data is calculated as:

\bar x = \frac{\sum x}{n}

So, we have:

(a)

\bar x = \frac{1+ 2+ 3+ 6+ 8}{5}

\bar x = \frac{20}{5}

\bar x = 4

(d)

\bar x = \frac{1+ 2+ 3+ 4+ 5}{5}

\bar x = \frac{15}{5}

\bar x = 3

Option (a) is true, because it has:

Median = 3

Mean = 4

7 0
3 years ago
A 12-foot ladder is leaning across a fence and is touching a higher wall located 3 feet behind the fence. The ladder makes an an
Svetllana [295]

Answer:

3 feet

Step-by-step explanation:

A 12-foot ladder is leaning across a fence and is touching a higher wall located 3 feet behind the fence. The ladder makes an angle of 60 degrees with the ground.

 ladder is 12 foot

The ladder makes an angle of 60 degrees with the ground.

It form a right angle triangle . ladder is the hypotenuse

cos(60)=\frac{x}{12}

0.5= \frac{x}{12}

multiply 12 on both sides

x= 6

the distance from the base of the ladder to the bottom of the fence

x-3 = 6-3=3 feet

7 0
3 years ago
36 is what percent of 200
Andrews [41]

Answer:

18

Step-by-step explanation:

I used a percentage calculator to get you the best answer possible. :) Have a nice day!

3 0
3 years ago
AC=CE and D is the midpoint of CE. If CE = 10x+18 DE = 7x-1 and BC = 9x-3 find AB
Mazyrski [523]

We know the CE = 10x + 18 and DE = 7x - 1 and D is the midpoint of CE

⇒ CE = 2 * DE

⇒ 10x + 18 = 2 * (7x - 1)

⇒ 10x + 18 = 14x - 2

⇒ -4x = -20

⇒ x = 5

Now we also know that BC = 9x - 3 and AC = CE = 10x + 18

⇒ AB = AC - BC

⇒ AB = 10x + 18 - (9x - 3)

⇒ AB = x + 21

Substituting the value of x,

⇒ AB = 5 + 21

⇒ AB = 26

Hence, the value of AB is 26 units.


8 0
3 years ago
Pablo purchased adult and touth tickets for rhe footall game. He brought x adults tickets for $74 each and y youth tickets for $
Rus_ich [418]

The equation will be made up of the cost of x number of adult tickets at 74 each which is represented by 74x and youth tickets (an unknown number y) at 35 each which is represented by 35y. We add them together and set them equal to Cost. Cost = 74x + 35y

4 0
3 years ago
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