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jok3333 [9.3K]
2 years ago
8

Explain what the inequality --4h <-14 represents. What value of h makes the equation true

Mathematics
1 answer:
KonstantinChe [14]2 years ago
8 0

Answer:

-4h < - 14

We solve for h by applying the inverse operations;

The inverse operation of multiplication is division, so we divide by -4 on both sides;

/-4      /-4

h < 3.5, it could be <u>3.4, 3.3, 3.2 3.123, 2.4, 2.576</u>, there are tons of numbers below 3.5.

<u>So anything below 3.5 would best be suitable for the equation.</u>

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Compute the standard deviation for the set of data.<br><br> 13.3, 14.3, 15.3, 16.3, 17.3
Gennadij [26K]
<h3>Answer: Choice A)  sqrt(2)</h3>

==========================================

Explanation:

Add up all of the values

13.3+14.3+15.3+16.3+17.3 = 76.5

Then divide by 5 as there are n = 5 values in the set given

76.5/5 = 15.3

The mean of this data set is 15.3

-------------

Subtract the mean from each value to get this list of differences

x1 - mean = 13.3 - 15.3 = -2

x2 - mean = 14.3 - 15.3 = -1

x3 - mean = 15.3 - 15.3 = 0

x4 - mean = 16.3 - 15.3 = 1

x5 - mean = 17.3 - 15.3 = 2

-------------

Square each result from the previous section

(-2)^2 = 4

(-1)^2 = 1

(0)^2 = 0

(1)^2 = 1

(2)^2 = 4

Then add up those results

4+1+0+1+4 = 10

This is the sum of the squared differences.

------------

Divide the sum of the squared differences by n = 5 to get 10/5 = 2

The population variance is 2

The population standard deviation is the square root of this, so we get sqrt(2) as our final answer.

------------

Side note: This data set was fairly small, so computing the standard deviation by hand wasnt too painful. When it comes to larger data sets, it is smarter to use a spreadsheet program to easily calculate the answer. The drawback is that you wont be able to get an exact answer in terms of radicals (then again you could always use a CAS, which stands for "computer algebra system").

6 0
3 years ago
Find p(2) for p(x)=x^4-2x^3-6x^2+5
Ede4ka [16]
(2)^4-2(2)^3-6(2)^2+5
16-64-144+5
-187
4 0
3 years ago
Please help I don't undestand
Alla [95]

By applying the law of sines and some algebraic handling, the length of the side LJ is approximately equal to 3.517 units. (Right choice: D)

<h3>What is the missing side of the triangle according to the law of sines?</h3>

The law of sines presents a relationship between sides and <em>opposite</em> angles, which is described below:

9/sin 89° = LJ/sin 23°     (1)

LJ = 9 × sin 23°/sin 89°

LJ ≈ 3.517

By applying the law of sines and some algebraic handling, the length of the side LJ is approximately equal to 3.517 units. (Right choice: D)

To learn more on law of sines: brainly.com/question/21634338

#SPJ1

3 0
2 years ago
For a consumer to obtain a 10% discount, he must spend an amount
DENIUS [597]

Answer:

the answer is 180 dollars

Step-by-step explanation:

20 is 10% of 200 so just subtract that

3 0
2 years ago
Good Morning! Easy Question!!! Please don't answer just for points!!
uysha [10]

Answer:

if i'm not wrong it should be 2.8

Step-by-step explanation:

I'm realy not sure

Sorry if i'm wrong

5 0
3 years ago
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