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3 years ago

How much sand would you need to fill this box ?

Mathematics

1 answer:

grin007 [14]3 years ago

3 0

Step-by-step explanation:

We have,

l =5ft

b=2ft

h=3ft

$volume(v) = l \times b \times h$

v = (l*b*h)

v = (5*2*3)ft

v = (30)ft

.•. v = 30ft

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A scientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. If the prob

UkoKoshka [18]

Answer:

The probability that 8 mice are required is 0.2428.

Step-by-step explanation:

Given : A scientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. If the probability of contracting the disease is two sevenths.

To find : What is the probability that 8 mice are required? The probability that that 8 mice are required is nothing ?

Solution :

Applying binomial distribution,

$P(X=r)=^nC_r p^rq^{n-r}$

Where, p is the probability of success $p=\frac{2}{7}$

q is the probability of failure q=1-p, $q=1-\frac{2}{7}=\frac{5}{7}$

n is total number of trials n=8

r=3

Substitute the values,

$P(X=3)=^8C_3 (\frac{2}{7})^3 (\frac{5}{7})^{8-3}$

$P(X=3)=\frac{8!}{3!5!}\times \frac{8}{343}\times (\frac{5}{7})^{5}$

$P(X=3)=\frac{8\times 7\times 6}{3\times 2\times 1}\times \frac{8}{343}\times \frac{3125}{16807}$

$P(X=3)=0.2428$

Therefore, the probability that 8 mice are required is 0.2428.

5 0

4 years ago

The leg of a right triangle are 3 units and 10 units. What is the length of the hypotenuse? Round your answer to the nearest hun

Andreas93 [3]

Hey there! This is gonna require the Pythagorean Theorem which is<span> a^2 + b^2 = c^2
</span>
a and b in this case are the legs while c is the hypotenuse! So, we can just plug in the numbers we know!

3^2 + 10^2 = c^2

9 + 100 = c^2

109 = c^2

And then take the square root of 109 to get the hypotenuse.

<span>10.4403065089 = c
</span>
Since we need to round to the nearest hundredth, though, it would be 10.44

I hope that helps! Feel free to let me know if you have any questions!

- mathwizzard3

6 0

3 years ago

Daniel wanted to know his approximate score on the final exam for his mathematics class. His professor hinted that his score was

hammer [34]

Answer: The raw score for Daniel's exam grade is 101.69.

Step-by-step explanation:

For x be any random variable.

Formula for z-score :

$z=\dfrac{x-\mu}{\sigma}$ , where $\mu$ = population mean