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2 years ago

Solve the inequality.

Mathematics

2 answers:

user100 [1]2 years ago

8 0

Answer:

k < 28

Step-by-step explanation:

Given inequality :-

k + 4 - 2( k - 12 ) > 0
k + 4 - 2k + 24 > 0
-k + 28 > 0
28 > k
k < 28

Last Option is correct .

Nataly [62]2 years ago

4 0

k<28

Step 1: Simplify both sides of the inequality.

−k+28>0

Step 2: Subtract 28 from both sides.

−k+28−28>0−28

−k>−28

Step 3: Divide both sides by -1.

−k /−1 > −28 /−1

k<28

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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 44 o

Cerrena [4.2K]

Answer:

a) No 95% of values will fall between (24;64); 68,27% will fall between (34;54)

b)71,83 % will fall between 34 and 64 ounces

Step-by-step explanation:

Empirical rule establishes, for a normal distribution with mean μ and σ as standard deviation:

In interval μ ± σ or ( μ + σ ; μ - σ) we should find 68.27 % of all values of the population, and by simmetry 68.27/2 = 34,14 % should be over the mean and the other half would be values below the mean

Therefore in our case

μ + σ = 44 + 10 = 54

And

μ - σ = 44 - 10 = 34

a) Then 68,34 % of values will fall in this interval

We know now that value 34 is 1* σ below the mean, and is at the limit of 34,14 %

b) μ + 2*σ = 44 * 2*10 = 44 + 20 = 64

64 is the upper limit for the interval μ + 2*σ and we know that 95.45 % of all values will fall between ( μ - 2*σ ; μ + 2*σ ) and by simmetry just one side of this interval (the right side ) will have 95.45/2 = 47;73 %

Then in interval going from ( 34 ; 64 ) we shoud find 47.73 + 34,14

71,83 % of all values will fall between 34 and 64

7 0

3 years ago

What is the retail price of the original price $60 markup : 15%

Nataly [62]

I think the original price is either $51 or $69

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3 years ago

Read 2 more answers

The probability of a tornado occurring in a subdivision in Tornado Alley in the United States has been estimated to be 0.2 for o

hoa [83]

Answer:

Probability is 0.831727

Step-by-step explanation:

The probability can be calculated as below

There are multiple scenarios

Scanerio 1

0 occurance & No damage = 1 - 0.2 - 0.03 - 0.001 = 0.769

Scanerio 2

1 occurance & No damage = 0.2 x ( 1 - 0.7 ) = 0.06

Scanerio 3

2 occurance & No damage = 0.03 x ( 1 - 0.7 )^2 = 0.0027

Scanerio 4

3 occurance & No damage = 0.001 x ( 1 - 0.7 )^3 = 0.000027

P(structure will not suffer any damage) = Scanerio 1 + Scanerio 2 + Scanerio 3 + Scanerio 4 = 0.769 + 0.06 + 0.0027 + 0.000027 = 0.831727

8 0

3 years ago

Please help thank you.

alina1380 [7]

Hello!

To solve this we use the equation sin60 = (s/2) / (d/2)

s is a side of the triangle
d is the diameter

sin60 = s/d

$\sqrt{3/4} =s/d$

$d=s/ \sqrt{3/4}$

$d = s \sqrt{4/3}$

$d = 2s/ \sqrt{3}$

put 6 in for s

$d=12/ \sqrt{3}$

$d = \sqrt{48}$

d = 6.9

The answer is C) 6.9

Hope this helps!

5 0

3 years ago

Mr. Morales owns a warehouse that is 56,000 cubic feet. He wants to build an addition that will increase the size of the warehou

Gennadij [26K]

Answer:

62,160 cubic feet

Step-by-step explanation:

To solve this problem, we can use a percentage formula as shown below:

$P(1+r)$

P = initial value

r = rate

Now lets plug in the values given in the question:

$56,000(1+.11) =$ 62,160

This means that the volume of the warehouse after the addition will be 62,160 cubic feet.

5 0

3 years ago