The stadium can seat 15,000 fans. If the stadium is 85 percent full, how many tickets were sold?

The lifespan, in years, of a certain computer is exponentially distributed. The probability that its lifespan exceeds four years

kompoz [17]

Answer:

The correct answer is " $0.300993e^{-0.300993x}$ ".

Step-by-step explanation:

According to the question,

⇒ $P(x>4)=0.3$

We know that,

⇒ $P(X > x) = e^{(-\lambda\times x)}$

⇒ $e^{(-\lambda\times 4)} = 0.3$

∵ $\lambda = 0.300993$

Now,

⇒ $f(x) = \lambda e^{-\lambda x}$

By putting the value, we get

$=0.300993e^{-0.300993x}$

3 0

3 years ago

Giving brainlest Help Please

iragen [17]

Answer:

1.6cm:

Step-by-step explanation:

1cm = 2m

2 divided by 1 = 2

3.2 divided by 2 =1.6

1.6cm

7 0

2 years ago

Can someone pls help with this

Anon25 [30]

Answer:

sorry i cant figure this out

7 0

3 years ago

Analyze the diagram below and complete the instructions that follow.

lora16 [44]

Answer:

$\displaystyle y=2\sqrt{6}$

$\displaystyle x=2\sqrt{2}$

Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.

Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:

$\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}$

$\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}$

Solving for y:

$y=4\sqrt{2}\cos 30^\circ$

Since:

$\cos 30^\circ=\frac{\sqrt{3}}{2}$

$\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}$

Simplifying:

$\displaystyle y=2\sqrt{6}$

Now we use the sine ratio:

$\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}$

$\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}$

Solving for x:

$x=4\sqrt{2}\sin 30^\circ$

Since:

$\sin 30^\circ=\frac{1}{2}:$

$\displaystyle x=4\sqrt{2}\frac{1}{2}$

Simplifying:

$\displaystyle x=2\sqrt{2}$

The choices are not clear, but it seems like the correct answer is C.

$\boxed{\displaystyle y=2\sqrt{6}}$

$\boxed{\displaystyle x=2\sqrt{2}}$

6 0

3 years ago

Pre-Algebra <br> Due now<br> Please help, thank you

slamgirl [31]

Answer:

1. The $\sqrt{10}$ is between 3 and 4.

2. The $\sqrt{54}$ is between 7 and 8.

3. The $\sqrt{18}$ is between 4 and 5.

4. The $\sqrt{99}$ is between 9 and 10.

5. The $\sqrt{41}$ is between 6 and 7.

Step-by-step explanation:

1. $\sqrt{10}$ : 10 is near the perfect squares 9 and 16, which would mean its answer is between their square roots which are 3 and 4.

2. $\sqrt{54}$ : 10 is near the perfect squares 49 and 64, which would mean its answer is between their square roots which are 7 and 8.

3. $\sqrt{18}$ : 10 is near the perfect squares 16 and 25, which would mean its answer is between their square roots which are 4 and 5.

4. $\sqrt{99}$ : 10 is near the perfect squares 81 and 100, which would mean its answer is between their square roots which are 9 and 10.

5. $\sqrt{41}$ : 10 is near the perfect squares 36 and 49, which would mean its answer is between their square roots which are 6 and 7.

8 0

2 years ago

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