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3 years ago

Write an algebraic expression with four terms, using only the variables a, b, and c.

Mathematics

1 answer:

AveGali [126]3 years ago

4 0

Answer: A squared (written as 2 in exponent place) + B squared = C Squared

Step-by-step explanation:

This is known as Pythagorean theorem

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The weights of college football players are normally distributed with a mean of 200 pounds and a standard deviation of 50 pounds

Feliz [49]

Answer:

0.3811 = 38.11% probability that he weighs between 170 and 220 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:

$\mu = 200, \sigma = 50$

Find the probability that he weighs between 170 and 220 pounds.

This is the pvalue of Z when X = 220 subtracted by the pvalue of Z when X = 170.

X = 220

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

$Z = \frac{220 - 200}{50}$

$Z = 0.4$

$Z = 0.4$ has a pvalue of 0.6554

X = 170

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

$Z = \frac{170 - 200}{50}$

$Z = -0.6$

$Z = -0.6$ has a pvalue of 0.2743

0.6554 - 0.2743 = 0.3811

0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.

6 0

4 years ago

3. You have 3 consecutive numbers, with the smallest number n.

mr Goodwill [35]

SU RE sorry okay 20 so so

3 0

3 years ago

(Past Due) Need Help

Charra [1.4K]

I would say its the second one.

the student shouldve distributed the 2^3x+3 into 2^3x+9

8 0

3 years ago

I WILL GIVE U A CROWN.......

steposvetlana [31]

<h3>Answer: Likely it's choice D) </h3>

See below for the explanation why

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

down payment = 22% of home value

down payment = 22% of $426,000

down payment = 0.22*426,000

down payment = 93,720 dollars

The remaining amount mortgaged (i.e. loaned out) is

home value - (down payment) = 426,000 - 93,720 = 332,280

----------------

The monthly payment formula is

P = (L*i)/(1 - (1+i)^(-n))

where,

P = monthly payment
L = amount loaned
i = monthly interest rate in decimal form
n = number of months

In this case,

L = 332,280 dollars
i = 0.0525/12 = 0.004375 which is exact without any rounding
n = 20*12 = 240 months (equivalent to 20 years)

Plugging those three values into the formula mentioned gets us the following:

P = (L*i)/(1 - (1+i)^(-n))

P = (332,280*0.004375)/(1 - (1+0.004375)^(-240))

P = 2,239.0493959316

P = 2,239.05

Multiply this monthly payment by the 240 months mentioned.

2,239.05*240 = 537,372

This is the total amount paid back (principal + interest)

Add on the down payment to find out how much money total is handed over: 537,372 + 93,720 = 631,092

Unfortunately $631,092 is not listed as one of the answer choices. The closest would be D) $631,057

I'm not sure if I made a rounding error somewhere, or perhaps your teacher is using an amortization table. It's also possible your teacher made a typo somewhere. I'd ask them for clarification.

5 0

2 years ago

1. The radioisotope Iodine-123 is used in thyroid therapy. The half-life of this isotope is 13.27 hours.

Mandarinka [93]

1. Answer: D. <span>A = 100 (1/2)^t/13.27

</span>Exponent equation formula would be an= a0( 1+r)^t
In this question, the radio isotopes will become half of its weight after the half-life. So, the ratio would be -0.5 (r= -0.5)
The halftime is 13.27 hours, so the time will be divided by that number. The result would look like this:
an= a0( 1+r)^t
an= a0( 1-0.5)^t/13.27
an= a0( 1/2)^t/13.27

2. Answer: x= 74°

<span>The ladder and the building will make a right triangle with the ladder as the hypotenuse.
The foot of the ladder is 2 feet from the building, so the adjacent side is 2ft.
It reaches a point 7 feet high on the building, so the opposite side is 7ft</span>
You can find the angle by using the tan equation

tan x= opposite / adjacent
tan x= 7/2= 3.5
x= 74°

7 0

4 years ago