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2 years ago

If 49x2 + 28x - 10 is rewritten as p2 + 4p -10, what is p in terms of p=

Mathematics

1 answer:

madam [21]2 years ago

6 0

Answer:

p=7x

Step-by-step explanation:

49x^[2] + 28x - 10 = p^[2] + 4p -10

This equation is in the form a^[2]x + bx + c.

The 'c' is common for both equations, this means the 'a' and 'b' must also be common.

There are two ways to find p: 'a' or 'b'

a method

49x^[2] = p^[2]

=> The square root of both sides = 7x = p

b method

28x = 4p

28x/4 = 4p/4

7x = p

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A basic cellular package costs $20 per month for 60 minutes of calling, with an additional charge of $0.20/min beyond that time.

Anika [276]

Answer: you can use 260 min, 60 min at a fixed price ($20) and extra 200.

Step-by-step explanation:

C(x) = 20 + 0.20(x − 60)

C(x) ≤ 60

20 + 0.20(x − 60) ≤ 60

0.20(x − 60) ≤ 60 - 20

0.20x - 12 ≤ 40

0.20x ≤ 40 + 12

0.20x ≤ 52

x ≤ 52/0.2

x ≤ 260

This way, you can use 260 min, 60 min at a fixed price ($20) and extra 200.

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2 years ago

Repeated student samples. Of all freshman at a large college, 16% made the dean’s list in the current year. As part of a class p

Dima020 [189]

Answer:

a) p-hat (sampling distribution of sample proportions)

b) Symmetric

c) σ=0.058

d) Standard error

e) If we increase the sample size from 40 to 90 students, the standard error becomes two thirds of the previous standard error (se=0.667).

Step-by-step explanation:

a) This distribution is called the sampling distribution of sample proportions (p-hat).

b) The shape of this distribution is expected to somewhat normal, symmetrical and centered around 16%.

This happens because the expected sample proportion is 0.16. Some samples will have a proportion over 0.16 and others below, but the most of them will be around the population mean. In other words, the sample proportions is a non-biased estimator of the population proportion.

c) The variability of this distribution, represented by the standard error, is:

$\sigma=\sqrt{p(1-p)/n}=\sqrt{0.16*0.84/40}=0.058$

d) The formal name is Standard error.

e) If we divided the variability of the distribution with sample size n=90 to the variability of the distribution with sample size n=40, we have:

$\frac{\sigma_{90}}{\sigma_{40}}=\frac{\sqrt{p(1-p)/n_{90}} }{\sqrt{p(1-p)/n_{40}}}}= \sqrt{\frac{1/n_{90}}{1/n_{40}}}=\sqrt{\frac{1/90}{1/40}}=\sqrt{0.444}= 0.667$

If we increase the sample size from 40 to 90 students, the standard error becomes two thirds of the previous standard error (se=0.667).

0 0

2 years ago

An uncooked gingerbread cookie is y centimeters long. After it is baked, the length of the

marusya05 [52]

Answer:

I think the answer is C

Step-by-step explanation:

If you have a normal ginger bread cookie, its full size would be 100%. So, if you add the first 25%, 1.25%

3 0

2 years ago

Read 2 more answers

Frankie wants to build a path from one corner of his yard to the opposite corner. His yard measures 20 ft. x 32 ft. What will be

riadik2000 [5.3K]

Frankie's yard is a rectangle with the longer side = 32ft and the shorter side = 20ft. You want to find the length of the diagonal going through the rectangle. In essence, you basically have a triangle with two sides, one 32ft, the other 20ft, and you're looking for the hypotenuse.

Let's call a=32, b=20, and you're looking for the hypotenuse c. Use the Pythagorean theorem:
${a}^{2} + {b}^{2} = {c}^{2}$
Plug the numbers in to find c, the length of your path! So
$\sqrt{{32}^{2} + {20}^{2}} = 37.7$

4 0

1 year ago

Read 2 more answers

Mirela has a rectangular piece of paper with an area of 0.35 m2. She cuts the paper into small rectangles with areas of 700 cm2.

lakkis [162]

Answer:

Step-by-step explanation:

0.35 m^2 = 0.35 * 100 * 100 = 3500 cm^2 ( as there is 100 cm in a meter).

So the maximum number of small rectangles she can cut

= 3500 / 700

= 5.

6 0

2 years ago