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2 years ago

6

A dolphin traveled 5 miles in 15 minutes, a stingray traveled 11 miles in 30 minutes, and a great white shark traveled 92 miles

in 4 hours. Which animal Is the fastest?

1 answer:

WINSTONCH [101]2 years ago

6 0

Dolphin: 5/15=1/3= .3333- miles per minute

Stingray: 11/30= .3666- miles per minute

Great White Shark: 92/(4 x 60)= .38333- miles per minute

The great white shark is the fastest.

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A car travels 2.5 hours in a northerly Direction for 300 KM. what is the speed and velocity

STatiana [176]

Speed is distance traveled per block of time. As an equation, this is
Speed = distance/time

In your problem, the given distance is 300km, and the time is 2.5 hours.
Plugging into the equation,
Speed = 300km / 2.5 h
Speed = 120 km/h

Velocity is speed <em>and</em> direction.
The velocity would be 120 km/h north.

4 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Chuge%7B%7B%5Cmathfrak%7Bquestion%E0%BF%90%7D%7D%7D" id="TexFormula1" title="\huge{{\mathfra

kramer

Answer:

<h2><em><u>9</u></em></h2>

Step-by-step explanation :

$\sqrt{ \frac{243}{3} }$

$= \sqrt{81}$

$= \sqrt{9 \times 9}$

= <em><u>9(Ans)</u></em>

5 0

3 years ago

Read 2 more answers

Need help with this

svlad2 [7]

Answer:

What is questions?

Step-by-step explanation:

What is questions?

6 0

2 years ago

5. Suppose that a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organ

mart [117]

Answer:

Probability that the sample proportion will be greater than 0.5 is 0.8133.

Step-by-step explanation:

We are given that the a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organization is about to take a simple random sample of voters and will use the sample proportion to estimate p.

Suppose that the polling organization takes a simple random sample of 500 voters.

<em>Let </em> $\hat p$ <em> = sample proportion</em>

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = population proportion = 48%

n = sample of voters = 500

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample proportion will be greater than 0.5 is given by = P( $\hat p$ > 0.50)

P( $\hat p$ > 0.50) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < $\frac{0.50-0.48}{\sqrt{\frac{0.50(1-0.50)}{500} } }$ ) = P(Z < 0.89) = 0.8133

<em>Now, in the z table the P(Z </em> $\leq$ <em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.89 in the z table which has an area of 0.8133.</em>

Therefore, probability that the sample proportion will be greater than 0.50 is 0.8133.

6 0

3 years ago

THANK YOU , PLEASE INCLUDE EXPLANATION

frosja888 [35]

Remark

This will be a little late, but I'll answer it anyway. The more you see of the sine law, the clearer it will be.

Step One

Set up the sine Law.

$\dfrac{Sin(x)}{12}=\dfrac{sin(75)}{22}$

Step Two

Substitute values

Sin(x) = ??

sin(75) = 0.9659

$\dfrac{Sin(x)}{12}=\dfrac{0.9659}{22}$

Step Three

Cross multiply and Solve

22* Sin(x) = 12 * 0.9659

22* Sin(x) = 11.591 divide by 22

sin(x) = 11.591 / 22

sin(x) = 0.5269

Step Four

You have to know how to use the inverse of an angle to get the answer. I do it as my calculator would do it. If it doesn't work with yours, let me know.

x = sin^-1(0.5269)

2nd F

Sin^-1

(

0.5269

)

=

You should get 31.79 degrees.

5 0

3 years ago