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andrew-mc [135]
3 years ago
9

Please help asap.... lots of points and brainliest….

Mathematics
1 answer:
Sidana [21]3 years ago
3 0

Answer:

a)  (x/2 +3)^2

b)  (5a -3b)^2

c)  (x/3 +y/5)^2

d)  (10b -3c)^2

e)  (a/4 -2b)^2

Step-by-step explanation:

Assuming you can do that, write the terms of the quadratic in lexicographical order. (The square terms will be first and last.) Then the binomial is the "sum" of the square roots of the first and last terms with the sign of the middle term.

Using (e) as an example, the term are already in order. (In (d), they need to be rearranged.) The first term is 1/16a^2, and its square root is 1/4a = a/4. The last term is 4b^2 and its square root is 2b. The sign of the middle term is negative, so these two roots will be separated by a minus sign:

  (a/4 - 2b)^2

The expression you want is the square of the binomial.

_____

As a check, you can make sure that double the product of these terms is the middle term of the trinomial you started with.

In this example, that double product is 2·a/4·(-2b) = -ab, which exactly matches the middle term you started with.

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An education researcher claims that 58​% of college students work​ year-round. In a random sample of 400 college​ students, 232
Hatshy [7]

Answer:

The proportion of college students who work​ year-round is 58%.

Step-by-step explanation:

The claim made by the education researcher is that 58​% of college students work​ year-round.

A random sample of 400 college​ students, 232 say they work​ year-round.

To test the researcher's claim use a one-proportion <em>z</em>-test.

The hypothesis can be defined as follows:

<em>H</em>₀: The proportion of college students who work​ year-round is 58%, i.e. <em>p</em> = 0.58.

<em>Hₐ</em>: The proportion of college students who work​ year-round is 58%, i.e. <em>p</em> ≠ 0.58. C

Compute the sample proportion as follows:

 \hat p=\frac{232}{400}=0.58

Compute the test statistic value as follows:

 z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.58-0.58}{\sqrt{\frac{0.58(1-0.58)}{400}}}=0

The test statistic value is 0.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

Compute the p-value for the two-tailed test as follows:

 p-value=2\times P(z

*Use a z-table for the probability.

The p-value of the test is 1.

The p-value of the test is very large when compared to the significance level.

The null hypothesis will not be rejected.

Thus, it can be concluded that the proportion of college students who work​ year-round is 58%.

6 0
3 years ago
Help me with this problem please
gavmur [86]

Answer:

7 yards

Step-by-step explanation:

the absolute value of -2 and 2/3- 51/3 is 7

6 0
2 years ago
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Answer:

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Step-by-step explanation:

5 0
3 years ago
Jill’s room is 12 feet long and 10 feet wide. she made a scale drawing of the room with a scale of 0.5 inches = 2 feet. what is
umka21 [38]
12/2=6.
6X0.5=3
so the scale drawing is 3 inches long
10/2=5
5X0.5=2.5
so the width of the scale drawing is 2.5 inches
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3 0
3 years ago
Brainliest
Romashka [77]

Answer:

Find the product as follows 9/10 x 2/5= 18/50

Step-by-step explanation:

I had this question and got it right!

6 0
2 years ago
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