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2 years ago

The weather report says that there is a 20% chance of rain. What is the likelihood that it will rain?

Mathematics

1 answer:

zzz [600]2 years ago

3 0

Unlikely . 1%-49% is unlikely.

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Chloe has enough sand to fill a sandbox with an area of 36 square units. She wants the outer edges of the sandbox to use as litt

sergiy2304 [10]

Answer:

The dimensions of the box is 6 × 6 units.

Step-by-step explanation:

Chloe fill a sand box whose area is 36 square units.

Let length be x units and width be y units.

Area of box = 36

$xy=36\\y=\dfrac{36}{x}\ \ \ ...(i)$

Perimeter of box, $P=2(x+y)$

$P=2(x+\dfrac{36}{x})\ \ \ \ \ \ \ \ [\text{ From }(i)]$

Differentiate w.r to x

$\dfrac{dP}{dx}=2(1-\dfrac{36}{x^2})$

For critical point, $\dfrac{dP}{dx}=0$

$\therefore 2(1-\dfrac{36}{x^2})=0$

$\Rightarrow x=\pm6$

x can't be negative.

$\dfrac{d^2P}{dx^2}=\dfrac{144}{x^3}\\\dfrac{d^2P}{dx^2}|_{x=6}=\dfrac{144}{216}>0(\text{min})$

$P_{min}=24$ units

Hence, Length = 6 units and width = 6 units

5 0

2 years ago

During summer weekdays, boats arrive at the inlet drawbridge according to Poisson distribution at a rate of 3 per hour. In a 2-h

mrs_skeptik [129]

Answer:

The probability that no boats arrive is $2.48\times 10^{-3}$ .

Step-by-step explanation:

Poisson distribution:

Poisson distribution is a statistical distribution that helps to find out the probability of a certain is likely occur a specified period of time.

$P(X=x)=\frac{e^{-\lambda t}(\lambda t)^x}{x!}$

$\lambda$ = rate.

Given that, Poisson distribution at a rate of 3 per hour.

$\lambda$ = 3

t=2

x=0

The probability that no boats arrive is

$P(X=0)=\frac{e^{-2\times 3}(2\times 3)^0}{0!}$

$=2.48\times 10^{-3}$

6 0

3 years ago

five years ago fathers age was 4 timess his son age now the sum of the age is 45 find the present age

tekilochka [14]

You could use a calculator

5 0

2 years ago

Writing Explain how you can use an equation to make predictions about a particular relationship

tresset_1 [31]

Answer:

the intercept of the line with the y-axis. Substitute the line's slope and intercept as "m" and "c" in the equation "y = mx + c." With this example, this produces the equation "y = 0.667x + 10.33." This equation predicts the y-value of any point on the plot from its x-value.

Step-by-step explanation:

hope it help

7 0

2 years ago

Of the 423 students entering as freshmen at a small liberal arts school, 1 out of 3 will be participating in

Allisa [31]

Answer:

About 141 students would attend.

Step-by-step explanation:

423/3=141

4 0

1 year ago