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postnew [5]
2 years ago
5

Distance H in feet that an object falls in T seconds is modeled by the formula H equals 16 T2 squared if you drop a rock from a

cliff 1960 above the water how long will it take the rock to hit the water
Mathematics
1 answer:
Ymorist [56]2 years ago
7 0

Answer:

after 11.07secs

Step-by-step explanation:

Given the height of an object modeled by the equation

H = 16T² - 1960

The height of the object on the surface of water is zero, hence H = 0

Substitute

0 =16T² - 1960

Swap

16T² - 1960 = 0

16T² = 1960

T² = 1960/16

T² = 122.5

T = 11.07

Hence the rock will hit the surface of the water after 11.07secs

You might be interested in
If George put $600 in a savings account at a simple interest rate for each year. What was his interest rate, r, if after 3 years
egoroff_w [7]

Answer:

  6%

Step-by-step explanation:

The multiplier on George's money is ...

  $708/$600 = 1.18

This value is ...

  1 + rt = 1.18 . . . . . for t = 3

  3r = 0.18 . . . . . . subtract 1; next divide by 3

  r = 0.06 = 6%

The simple interest rate on George's account is 6%.

8 0
3 years ago
A pair of jeans cost $32 last year this year they cost $38 what was the percent increase? PLEASE ANSWER NEED HELP!
garik1379 [7]

Answer:

18.75%

Step-by-step explanation:

percent increase = \frac{increase}{original cost} × 100%

Increase in cost = $38 - $32 = $6

percent increase = \frac{6}{32} × 100% = \frac{6(100)}{32} = 18.75%


5 0
3 years ago
An Epson inkjet printer ad advertises that the black ink cartridge will provide enough ink for an average of 245 pages. Assume t
Neko [114]

Answer:

35.2% probability that the sample mean will be 246 pages or more

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 245 \sigma = 15, n = 33, s = \frac{15}{\sqrt{33}} = 2.61

What the probability that the sample mean will be 246 pages or more?

This is 1 subtracted by the pvalue of Z when X = 246. So

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{246 - 245}{2.61}

Z = 0.38

Z = 0.38 has a pvalue of 0.6480.

1 - 0.6480 = 0.3520

35.2% probability that the sample mean will be 246 pages or more

4 0
3 years ago
Two angles in a triangle add up to 125 degrees what is the size of the third angles
MariettaO [177]
55 degrees
is the answer
7 0
3 years ago
Read 2 more answers
Need a lil help please
Georgia [21]

Answer:

  • B(2, 4)

Step-by-step explanation:

<u>Given points:</u>

  • A(-1, -9) and M(0.5, -2.5)

Let the coordinates of B are (x, y)

<u>Use midpoint formula to determine the point B:</u>

  • 0.5 = (- 1 + x)/2 ⇒ 1 = -1 + x ⇒ x = 1 + 1 = 2
  • -2.5 = (-9 + y)/2 ⇒ -5 = -9 + y ⇒ y = -5 + 9 = 4

3 0
2 years ago
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