15 - 8x2 + 6x - 4x2 +11

Select true or false for the statements

jok3333 [9.3K]

Answer: First Question: True

Second Question: False

Third Question: False

Step-by-step explanation:

Based on the equations in the image, I used the substitution method.

4 0

2 years ago

In the Journal of Shell and Spatial Structures (December 1963), environmental researcher Vivek Ajmani studied the performance of

igomit [66]

Answer:

The standard deviation of the load distribution is of 5102.041 pounds.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 20000$

Also, the probability that the load is between 10,000 and 30,000 pounds is 0.95.

10,000 pounds and 30,000 pounds are equidistant from the mean. Due to this, and the probability of 0.95 of having a value in this range, 10000 is the (100-95)/2 = 2.5th percentile and 30000 is the (100+95)/2 = 97.5th percentile. Applying one of them, we find the standard deviation.

30,000 is the 97.5th percentile:

This means that when X = 30000, Z has a pvalue of 0.975. So when X = 30000, Z = 1.96. Then

$Z = \frac{X - \mu}{\sigma}$

$1.96 = \frac{30000 - 20000}{\sigma}$

$1.96\sigma = 10000$

$\sigma = \frac{10000}{1.96}$

$\sigma = 5102.041$

The standard deviation of the load distribution is of 5102.041 pounds.

8 0

3 years ago

Determine whether (7,9) is a solution of 7x+2y= −7.

topjm [15]

We can check by subbing in the values.

7x + 2y = -7
(7,9).....x = 7 and y = 9
now we sub
7(7) + 2(9) = -7
49 + 18 = -7
67 = -7 (incorrect)....therefore, (7,9) is NOT a solution for this equation

8 0

2 years ago

The diameter of a pizza is 14 inches. The pizza has 8 slices of equal size. Which of the following is the closest to the area of

qwelly [4]

Answer:

Step-by-step explanation:

First let us find the area of the whole pizza. Area of a circle is:

$A=\pi r^2$

Then, we have diameter as:

$diameter\div2=radius$

So, then using these formulas we would have,

$16\div2=8\\A=8\pi \text{ or }25.12$

Now, one slice is $\frac{1}{8}$ of the entire pizza. So, we would have:

$8\pi\div8=1\pi\\\text{ or }\\25.12\div8=3.14$

<h2><u><em>HOPE THIS HELPS!!!!!!!!</em></u></h2>

8 0

2 years ago

Read 2 more answers

How do I do this question folks?

horsena [70]

Answer:

Correct answer: B

Step-by-step explanation:

Syntax: in piecewise functions such as the one attached, the "if:" section shows the domain, or x-axis values which that function pertains to.

In the graph, you can see that the graph is defined for $-3\leq x < 1$ (not-including 1 because there is an open hole there, indicating it is not part of the domain), and $2\leq x\leq 4$ .

Now that we know the domain, we can attach it to the graphs that lie on those domains.

We see that the leftmost line appears to have a positive slope and a negative y-intercept, and that the second line should have a positive y-intercept and a negative slope.

At this point, you can just start crossing off answers that don't meet this criteria.

Cheers!!

7 0

2 years ago