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2 years ago

9

If 96 grams of carbon-14 are originally present in a fossilized plant at the present time, how much will remain after 17,000 yea

rs? (The half-life of Carbon-14 is 5730 years.) Use the exponential decay model for Carbon-14: A=Aoe^(-.000121)t

1 answer:

Elden [556K]2 years ago

5 0

Well, you already have the decay model, so just plug that in

$\bf A=96e^{-0.000121\cdot 17000}\implies A=96e^{-2.057}$

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The difference of two numbers is 491. The smaller of the numbers is 578. What is the other number?

ANTONII [103]

Answer:

1069

Step-by-step explanation:

x-578=491

x=491+578=1069

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3 years ago

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I need help asap:) thanks

Len [333]

Answer:

More than one triangle can be formed by three angles measuring 75°, 45° and 60°. Solution : We know that, The sum of the measures of all angles of a triangle should be equal to 180

Step-by-step explanation:

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2 years ago

A point (x,y) in the xy-plane whose coordinates satisfy xy<0 lies in quadrant(s) ____ or ____ .

lubasha [3.4K]

The possible ordered pairs whose product will be negative (less than zero) are,

$(x,-y) \: or \: (-x,y)$

That is all these products will give us,

$- xy$

$-xy< 0$

The point must be in the second quadrant where x is negative and y is positive.

Or in the fourth quadrant, where y is negative and x is positive.

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3 years ago

Antonio uses a calculator to find 38 minus StartFraction 44 minus 16 over 4 EndFraction and gets a result of –10. Which statemen

frozen [14]

Answer:

The second statement is Correct.

Step-by-step explanation:

Consider the provided information.

It is given that Antonio uses a calculator to find $38-\frac{44-16}{4}$ and gets a result of –10.

$38-\frac{44-16}{4}=38-\frac{28}{4}$

$=38-7$

$=31$

So, the first statement is incorrect.

2nd statement: Antonio found the answer for $38-44-\frac{16}{4}$

$38-44-\frac{16}{4}=-6-4$

$38-44-\frac{16}{4}=-10$

The second statement is Correct.

Third statement: Antonio found the answer for $\frac{38-44-16}{4}$

$\frac{38-44-16}{4}=-5.5$

So, the third statement is incorrect.

Fourth statement: Antonio found the answer for $38+\frac{44-16}{4}$

$38+\frac{44-16}{4}=38+7$

$38+\frac{44-16}{4}=45$

So, the fourth statement is incorrect.

Hence, the second statement is Correct.

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3 years ago

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Using traditional methods it takes 92 hours to receive an advanced flying license. A new training technique using Computer Aided

DanielleElmas [232]

Answer:

The value of the test statistic is z = 1.39.

The p-value of the test is 0.0823 > 0.05, which means that there is not evidence at the 0.05 level that the technique lengthens the training time.

Step-by-step explanation:

Using traditional methods it takes 92 hours to receive an advanced flying license.

This means that at the null hypothesis, it is tested if the mean is of 92, that is:

$H_0: \mu = 92$

Test if there is evidence that the technique lengthens the training time

At the alternative hypothesis, it is tested if the mean is more than 92, that is:

$H_1: \mu > 92$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

92 is tested at the null hypothesis:

This means that $\mu = 92$

A researcher used the technique on 70 students and observed that they had a mean of 93 hours. Assume the population variance is known to be 36.

This means that $n = 70, X = 93, \sigma = \sqrt{36} = 6$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{93 - 92}{\frac{6}{\sqrt{70}}}$

$z = 1.39$

The value of the test statistic is z = 1.39.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 93, which is 1 subtracted by the p-value of z = 1.39.

Looking at the z-table, z = 1.39 has a p-value of 0.9177.

1 - 0.9177 = 0.0823.

The p-value of the test is 0.0823 > 0.05, which means that there is not evidence at the 0.05 level that the technique lengthens the training time.

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2 years ago