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kvasek [131]
3 years ago
13

A group of children was crossing a river in boats. When they tried to sit 6 people per boat there was no place left for 4 of the

m. When they tried to sit 8 people per boat they had one empty boat. How many students and how many boats were there?
Mathematics
1 answer:
Nuetrik [128]3 years ago
6 0
16 people and 3 boats.
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Current research indicates that the distribution of the life expectancies of a certain protozoan is normal with a mean of 49 day
zimovet [89]

Answer:

The probability that a simple random sample of 64 protozoa will have a mean life expectancy of 54 or more days is P(M>54)=0.00004.

Step-by-step explanation:

In this case, we have a population lifetime normally distributed with mean 49 and standard deviation 10.2.

We take a sample of size n=64.

Then, we can calculate the z-score for a sample mean M=54, in order to calculate P(M>54):

z=\dfrac{X-\mu}{\sigma/\sqrt{n}}=\dfrac{54-49}{10.2/\sqrt{64}}=\dfrac{5}{1.275}=3.922\\\\\\P(M>54)=P(z>3.922)=0.00004

The probability that a simple random sample of 64 protozoa will have a mean life expectancy of 54 or more days is P(M>54)=0.00004.

3 0
3 years ago
Find the sum 5,-7 <br> a. 2 <br> b. -2 <br> c. -35 <br> d. 12
Irina-Kira [14]

It would be, 5+(-7) = 5-7 = -2

B)Option B is your answer........


5 0
3 years ago
true or false: one way to find how many feet the level increases in 30 minutes is to multiply 1/2 by 2/3
damaskus [11]

Answer:

Step-by-step explanation:

ture

5 0
3 years ago
Read 2 more answers
il a positive number decreased by 5, then it is 84 times of its reciprocal. Find the number? op 10, 11, 12, 13​
Alenkasestr [34]

Answer:

x = 12

Step-by-step explanation:

x - 5 = 84/x

x² - 5x = 84

x² - 5x - 84 = 0

x = (5 ±√(5² - 4(1)(-84))) / 2

x = (5 ± 19) / 2

x = -7 ignore

x = 12

6 0
3 years ago
I need to find side x of this 30 60 90 triangle i think with special right triangle methods
zvonat [6]

This is a 30-60-90 triangle and we can apply rules to easily identify the hypotenuse of this triangle, which is denoted by <em>x</em>.

The length of the longer side of the triangle is given in the problem. To solve the hypotenuse of this triangle, let's solve first for the length of the shorter side of the triangle.

The shorter side can be solved by just dividing the length of the longer side by the square root of 3. Hence, we have

short=\frac{4}{\sqrt[]{3}}

Since we already have the values for the length of the shorter side and longer side, we can solve for the hypotenuse using the Pythagorean theorem.

\begin{gathered} c=\sqrt[]{a^2+b^2} \\ c=\sqrt[]{4^2+(\frac{4}{\sqrt[]{3}})^2} \\ c=\sqrt[]{16+\frac{16}{3}} \\ c=\sqrt[]{\frac{64}{3}} \\ c=\frac{8}{\sqrt[]{3}}\cdot\frac{\sqrt[]{3}}{\sqrt[]{3}} \\ c=\frac{8\sqrt[]{3}}{3} \end{gathered}

Hence, the value of hypotenuse for this right triangle is

x=\frac{8\sqrt[]{3}}{3}

4 0
1 year ago
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