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il63 [147K]
3 years ago
12

Which polynomial is a product of (3x+2) and (x-7)

Mathematics
1 answer:
pogonyaev3 years ago
5 0

(3x+2)  (x-7)

FOIL

first 3x*x  = 3x^2

outer  3x*-7 = -21x

inner = 2*x = 2x

last  2*-7 = -14

add them together  = 3x^2 -21x+2x -14

combine like terms  3x^2 -19x -14

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The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e
marusya05 [52]

Answer:

The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

\hat p =\frac{955-812}{955}= 0.150

0.150 - 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.131

0.150 + 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.169

And the 90% confidence interval would be given (0.131;0.169).

Step-by-step explanation:

We have the following info given:

n= 955 represent the sampel size slected

x = 812 number of students who read above the eighth grade level

The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

\hat p =\frac{955-812}{955}= 0.150

The confidence interval for the proportion  would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 90% confidence interval the significance is \alpha=1-0.9=0.1 and \alpha/2=0.05, with that value we can find the quantile required for the interval in the normal standard distribution and we got.

z_{\alpha/2}=1.64

And replacing into the confidence interval formula we got:

0.150 - 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.131

0.150 + 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.169

And the 90% confidence interval would be given (0.131;0.169).

8 0
3 years ago
The inverse of f(x)=x^2 is also a function t/f
vodka [1.7K]

The Answer is false.

the function f (x) = x 2 is NOT one-to-one, and therefore cannot have an inverse.Therefore, the function f (x) = x 2 does NOT have an inverse.

3 0
3 years ago
Read 2 more answers
Ms. Bell's mathematics class consists of 12 sophomores, 8 juniors, and 9 seniors. How many different ways can Ms. Bell create a
shtirl [24]

Answer:

792

Step-by-step explanation:

It's a combination question. The order is of no consequence. Also the fact that there are juniors and seniors is not important either.

So the answer is

12C5

12!

====

(12 - 5)! * 5!

12 * 11 * 10 * 9 * 8

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

5 * 4 * 3 * 2 * 1

792

7 0
3 years ago
A __________ is a graphical summary of data previously summarized in a frequency distribution. a. box plot b. histogram c. scatt
OLga [1]

Answer: b. histogram

Step-by-step explanation:

A histogram is a graphical summary of data previously summarized in a frequency distribution. It is an accurate representation of the distribution of numerical data, the height of each bar shows how many fall into each range(the frequency of each range). Data from a frequency distribution table can be easily summarised graphically on a histogram.

An example of histogram is shown in the attachment

8 0
3 years ago
Identify the location of the point (-3, -2).<br><br> A. P<br> B. Q<br> C. R<br> D. S
docker41 [41]

Answer:

You haven't given a picture of the graph dear.

The point (-3,-2) lies in the third quadrant.

8 0
2 years ago
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