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2 years ago

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The amount of a radioactive isotope decays in half every year. The amount of the isotope can be modeled by f(x) = 346(one half)x

and f(1) = 173. What does the one half represent?

1 answer:

Leno4ka [110]2 years ago

8 0

It means the first iteration of decay would be 1/2 of 346, which is 173

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A sample of men's heights was taken and the mean was 68.8 inches. The standard deviation is 2.8 inches. What percent of the men

jarptica [38.1K]

Answer:

87.29%

Step-by-step explanation:

Given: Mean= 68.8 inches

Standard deviation= 2.8 inches

Now, finding the percent of the men in the sample were greater than 72 inches.

We know, z-score= $\frac{x-mean}{standard\ deviation}$

z-score= $\frac{72-68.8}{2.8}$

⇒ z-score= $\frac{3.2}{2.8} = 1.14$

∴ z-score= 1.14

Next, using normal distribution table to find percentage.

Coverting 0.8729 into percentage= $0.8729\times 100$

We get the percentage as 87.29%

Hence, 87.29% of the men in the sample were greater than 72 inches.

6 0

2 years ago

What 34.1 divided equals 22

Artyom0805 [142]

34.1 ÷ __ = 22
So lets think if we wanna find the missing number we have to divide 34.1 and 22 to get 1.55
So, the final answer is
34.1 ÷ 1.55 = 22
I hope this has helped!

6 0

2 years ago

Read 2 more answers

Simplify 4 to the 7th over 5 squared all raised to the 3rd power.

Radda [10]

First write out your original equation.
${(\frac{ {4}^{7} }{ {5}^{2} } ) }^{3}$
Then use the law of exponents(power of a power) to simplify.
$\frac{ {4}^{21} }{ {5}^{6} }$
(Multiply the numerator and denominator exponents by the outside power.)

The answer is 4 to the 21st over 5 to the 6th.

6 0

2 years ago

Process control is nothing more or less than monitoring quality as the work is being performed. Perhaps the most widely adopted

ella [17]

Answer:

a. Grand Mean = 2.799

b. Standard Deviation = 0.01387

c. Standard Error = 0.0016

d. The range with a Z score of 3 = (2.75739, 2.84061)

Step-by-step explanation:

a. Grand mean :

Given that

Sum of 80 values = 223.91

Total observation = 80

Grand mean = 223.91/80 = 2.799

b. With the excel command "STDEV[range of cells]", we get the standard deviation as = 0.01387

c. Standard error = Standard deviation / root of n

$= 0.01387/\sqrt{80}\\ = 0.0016$

d. The range with a Z score of 3 :

lower limit = mean - (3 * SD) = 2.799 - (0.04161) = 2.75739

upper limit = mean + (3 * SD) = 2.799 + (0.04161) = 2.84061

8 0

2 years ago

When James family went on the road to the carnival they were stuck in traffic. After a 20 minutes they are were 30 more miles le

Assoli18 [71]

Answer:

They would be 5.5 miles away because if you take 20 divided by 20 to get 1 minute you would have to take 30 divided by 20 to get 1.5 miles per 1 minute. Then you would have to take 1 times 35 to get 35 minutes and you would have to take 1.5 times 35 to get 52.5. Then lastly you would take 58 miles and subtract 52.5 to get 5.5 miles therefor your answer would be 5.5 miles.

Step-by-step explanation:

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2 years ago