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4 years ago

HURRRY!!!

Mathematics

2 answers:

marshall27 [118]4 years ago

5 0

The variance of the set is 579

The population standard deviation for this data set is 24

Aleksandr-060686 [28]4 years ago

4 0

Answer:

579

This is correct

Step-by-step explanation:

You might be interested in

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round y

tino4ka555 [31]

Answer:

0.8762 or 87.62%

Step-by-step explanation:

Since our mean is μ=14.3 and our standard deviation is σ=3.7. If we're trying to figure out what percentage is P(10 ≤ x ≤ 26) equal to we must first calculate our z values as such:

$z=\frac{x-\mu}{\sigma}$

Our x value ranges from 10 to 26 therefore let x=10 and we obtain:

$z=\frac{10-14.3}{3.7} =-1.16\\$

If we look at our z-table we find that the probability associated with a z value of -1.16 is 0.1230 meaning 12.30%.

Now let's calculate the z value when x = 26 and so:

$z=\frac{26-14.3}{3.7}=3.16\\$

Similarly, we use the z-table again and find that the probability associated with a z value of 3.16 is 0.9992 meaning 99.92%.

Now we want to find the probability in between 10 and 26 so we will now subtract the upper limit minus the lower limit in P(10 ≤ x ≤ 26) therefore:

0.9992 - 0.1230 = 0.8762

or 87.62%

7 0

3 years ago

What fraction is equivalent to 4/6 and has a denominator of 3

gulaghasi [49]

Answer:

2/3

Step-by-step explanation:

3 0

3 years ago

If m < c = 147 , determine m < e a) 147 b) 57 c) 33 d) 180

sveticcg [70]

Answer:

c) 33

Step-by-step explanation:

We can calculate supplementary angles by subtracting the given angle from 180°. To find the other angle (in your case, ∠e), use the ∠y = 180° – ∠x where ∠x is the given angle.

5 0

3 years ago

On a test, Leo is asked to completely factor the polynomial 3x3 – 3x + 5x2 – 5. He uses double grouping to get (x2 – 1)(3x + 5).

Step2247 [10]

Answer:

Leo does not factored the polynomial completely.

3x^3-3x+5x^2-5=(x+1)(x-1)(3x+5)

Step-by-step explanation:

Given: On a test, Leo is asked to completely factor the polynomial

3x^3-3x+5x^2-5.

also, he uses double grouping to get (x^2- 1)(3x+5)

We have to explain whether he factored the polynomial completely or not.

Consider the given polynomial 3x^3-3x+5x^2-5.

after double grouping he get (x^2- 1)(3x+5)

Also, we can simplify further ,

Using algebraic identity a^2-b^2=(a+b)(a-b)

We get,

(x^2- 1)=(x+1)(x-1)

We get, (x^2- 1)(3x+5)=(x+1)(x-1)(3x+5)

Thus, 3x^3-3x+5x^2-5=(x+1)(x-1)(3x+5)

Thus, He does not factored the polynomial completely.

8 0

3 years ago

Read 2 more answers

The vertices of triangle ABC are A(2, -5), B(-3, 5), and C(3, -3). The triangle is reflected over the x-axis. Use arrow notation

sergiy2304 [10]

Okay, here goes. Notice that since the line of reflection was the x-axis, the x-coordinate of each vertex stays the same and the y-coordinate of each vertex is the opposite of the original vertex, so in that case the answer is 4 or D.

7 0

3 years ago