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NemiM [27]
2 years ago
11

The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the f

easibility of providing a dental insurance plan. A random sample of 12 employees in 2004 reveals the following family dental expenses (in dollars): 115, 370, 250, 93, 540, 225, 177, 425, 318, 182, 275, and 228. The sample mean is
Mathematics
1 answer:
geniusboy [140]2 years ago
7 0

Answer:

The answer is "266.5".

Step-by-step explanation:

Given value:

115, 370, 250, 93, 540, 225, 177, 425, 318, 182, 275, and\  228.

find:

Sample mean=?

=\frac{\text{total dental expenses}}{number \ of \ employees}

=\frac{115+370+250+93+540+ 225+ 177+ 425+ 318+ 182+ 275+228}{12}\\\\=\frac{3,198}{12}\\\\=266.5\\\\

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Thu wants to play “Guess My Number,"she states. “When I triple my number and add five ,I get twenty-six.what is my number?" What
AleksandrR [38]

The <em>correct answer</em> is:


Her number is 7.


Explanation:


Let x represent her number.


She triples her number; this is represented by 3x.


She then adds 5 to this; this gives us 3x+5.


She gets 26 aas her answer. This gives us the equation:

3x+5 = 26


To solve this, first subtract 5 from each side:


3x+5-5 = 26-5

3x = 21


Divide each side by 3:

3x/3 = 21/3

x = 7

5 0
3 years ago
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Hey can I have help?
Alinara [238K]
Should be -24 or 24
8x-3 equals -24. Your correct answer is -24
7 0
3 years ago
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Solve the following quadratic function
Leya [2.2K]

Answer:

x = ± 10

Step-by-step explanation:

to solve the equation let y = 0 , that is

100 - x² = 0 ( add x² to both sides )

100 = x² ( take square root of both sides )

± \sqrt{100} = x , that is

x = ± 10

8 0
2 years ago
Find the measure of the largest angle.
mihalych1998 [28]

Answer:

4x-7

Step-by-step explanation:

Solve for x:

180 = 44 + 3x - 11 + 4x - 7

Combine like terms: 180 = 26 + 7x

Simplify: 154 = 7x

Simplify: 22 = x

Substitute: 3(22) - 11 = 55 and 4(22) - 7 = 81

Create inequality: 44 < 55 < 81

8 0
3 years ago
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If csc ( x ) = 4, for 90 ∘ &lt; x &lt; 180, then sin ( x 2 ) = ? cos ( x 2 ) = ? tan ( x 2 ) = ?
svetlana [45]

Answer:

I'm assuming where you wrote x2, you meant 2x.

Anyway, if csc (x) = 2, since csc(x) = 1/sin(x), we know that 1/sin x = 2, so sin (x) = 1/2. Since sin2x + cos2x = 1, cos2x = 1 - sin2x, so cos x = √1 - sin2x. In this case, cos x = √ 1 - (1/2)2 = √(3/4) = (√3)/2. Finally, since sin x = opp / hyp , cos = adj/ hyp: sin x / cos x = (opp/hyp)/(adj/hyp) = opp/adj = tan x. So this means that tan x = sin x / cos x = 1/2 / √ 3 / 2 = 1/√3 = √3 / 3

At this point, all that is necessary is to use the double angle formulas for sin, cos, and tan.

sin (2x) = 2 sin x cos x = 2 (1/2) (√3/2) = √3 / 2

cos (2x) = cos2x - sin2x = (√3/2)2 - (1/2)2 = 3/4 - 1/4 = 1/2

tan (2x) = 2 tan x / (1 - tan2x) = 2 (√3 / 3) / ( 1 - (√3/3)2) = 2/√3 / (1 - 1/3) = 2/√3 / (2/3) = 3/√3 = √3

To sum up, sin (2x) = √4 / 2, cos (2x) = 1/2, and tan(2x) = ✓3.

Step-by-step explanation:

BRAIN LY FAST

MARK A BRAINLESS

5 0
2 years ago
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