Ask question

Ask question

All categories

3 years ago

15

The speed that a tsunami can travel is modeled by the equation S=356√d , where S is the speed in kilometers per hour and d is th

e average depth of the water in kilometers. What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour
A. 0.32 km
B. 0.75 km
C. 1.12 km
D. 3.17 km

2 answers:

spin [16.1K]3 years ago

7 0

Answer:

Option A. 0.32 km

Step-by-step explanation:

The speed of tsunami can travel is modeled by the equation

S = 356√d

S = speed, d = depth of water in kilometers

if the speed S = 200 km per hour then we have to calculate the approximate depth of water for a tsunami.

200 = 356√d

√d = 200/356 = 0.56

d = (0.56)² = 0.32 km

Therefore the depth of the water is 0.32 km

anygoal [31]3 years ago

4 0

S = 356√d
200 = 356√d
√d = 200/356 = 0.5618
d = 0.5618^2 = 0.316 km
d = 0.32 km.

You might be interested in

PLZ HELP I need fine the value of x in the triangle someone plz help me

Semmy [17]

Answer: The value of X is 4 *cough*Bfb reference*cough*

5 0

3 years ago

Help confused thanks

sukhopar [10]

$\left[\begin{array}{cc}Juice&Water\\1&3\\2&6\\3&9\\4&12\\\end{array}\right]$

$w=3j$
$36=3j$
$j=\frac{36}{3}=12cups$

3 0

3 years ago

How to solve 4/7y-2 = 3/7 + 3/14

lisabon 2012 [21]

Solution

1) Simplify $\frac{4}{7y}$ <span> to </span> $\frac{4y}{7}$
$\frac{4y}{7}$ <span>−2= </span> $\frac{3}{7}$ + $\frac{3}{14}$

2) Simplify $\frac{3}{7}$ + $\frac{3}{14}$ <span>to <span>914</span>
</span> $\frac{4y}{7}$ <span>−2= </span> $\frac{9}{14}$

3) <span>Add 2 to both sides
</span> $\frac{4y}{7}$ = $\frac{9}{14}$ <span>+2
</span>
4) Simplify $\frac{9}{14
}$ <span><span>+2</span> to </span> $\frac{37}{14}$
$\frac{4y}{7}$ = $\frac{37}{14}$

5) <span>Multiply both sides by 7
</span><span>4y= </span> $\frac{37}{14}$ <span>×7
</span>
6) Simplify $\frac{37}{14}$ <span><span>×7</span> to </span> $\frac{259}{14}$
$\frac{4y}{7}$ = $\frac{259}{14}$

7) Simplify $\frac{259}{14}$ <span> to </span> $\frac{37}{2}$
$\frac{4y}{7}$ = $\frac{37}{2}$

8) <span>Divide both sides by 4
</span>y= $\frac{37}{2}$ <span>×4
</span>
9) <span>Simplify <span>2×4</span> to 8
</span><span>y=</span> $\frac{37}{8}$
<span><span>
Hope this helps

</span></span>

5 0

3 years ago

A painting shaped like a circle has a diameter of 20 inches. A circular frame extends 2 inches around the edge of the painting.

Natasha_Volkova [10]

So hmm check the picture below

8 0

3 years ago

The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party,

Mama L [17]

Answer:

$(a)\ P(x = 0) = 0.2725$

$(b)\ P(x \ge 1) =0.7275$

$(c)\ P(x \le 2) = 0.8948$

Step-by-step explanation:

Given

$n = 8$ --- 8 friends

$p = 15\%$ --- proportion that one-time fling

This question is an illustration of binomial probability, and it is represented as:

$P(X = x) = ^nC_x* p^x * (1 - p)^{n-x}$

Solving (a): P(x = 0) --- None has done one time fling

$P(x = 0) = ^8C_0* (15\%)^0 * (1 - 15\%)^{8-0}$

$P(x = 0) = 1* 1 * (1 - 0.15)^{8}$

$P(x = 0) = 0.85^8$

$P(x = 0) = 0.2725$

Solving (b): $P(x \ge 1)$

To do this, we make use of compliment rule:

$P(x = 0) + P(x \ge 1) =1$

Rewrite as:

$P(x \ge 1) =1 - P(x = 0)$

$P(x \ge 1) =1 - 0.2725$

$P(x \ge 1) =0.7275$

Solving (c): $P(x\le 2)$ --- Not more than 2 has one time fling

This is calculated as:

$P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)$

We have:

$P(x = 0) = 0.2725$

$P(x = 1) = ^8C_1* (15\%)^1 * (1 - 15\%)^{8-1}$

$P(x = 1) = 8* (0.15) * (1 - 0.15)^7$

$P(x = 1) = 0.3847$

$P(x = 2) = ^8C_2* (15\%)^2 * (1 - 15\%)^{8-2}$

$P(x = 2) = 28* (0.15)^2 * (1-0.15)^6$

$P(x = 2) = 0.2376$

So:

$P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)$

$P(x \le 2) = 0.2725 + 0.3847 + 0.2376$

$P(x \le 2) = 0.8948$

4 0

3 years ago