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3 years ago

A falcon flew 70 miles in 3 hours. What was the speed of the falcon?

Mathematics

2 answers:

adell [148]3 years ago

8 0

Answer:

23.3333333 miles per hour

23 1/3 miles per hour

10.43093333333333 meters / second

Step-by-step explanation:

Take the distance and divide by the time to find the speed

70 miles / 3 hours

1 mile = 1609.34 meters

1 hours = 3600 seconds

70 miles /3 hours * 1 mile /1609.34 meters * 1 hours / 3600 seconds

10.43093333333333 meters / second

gulaghasi [49]3 years ago

7 0

Step-by-step explanation:

speed is normally measured in unit time meaning either per hour,second,minute etc

therefore for this question you will have to find what it travels per hour

if 70 is in three hours what about one hour

therefore

70/3=23.3'

so the speed will be 23.3miles per hour

(the apostrophe is to show recurring you can also round of and ignore it)

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What two consecutive integers have a sum of 75?

marshall27 [118]

Answer:

37 and 38.

Step-by-step explanation:

Let the smaller integer be x.

Thus, the larger integer is (x+1) since it is consecutive.

$x+(x+1)=75$

$2x+1=75$

Subtract both sides by 1:

$2x+1-1=75-1$

$2x=74$

Divide both sides by 2:

$\frac{2x}{2}=\frac{74}{2}$

$x=37$

To find the other number, simply add 1 to 37 to get 38.

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3 years ago

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vlabodo [156]

Answer:

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3 years ago

Need someone to help me please!

mylen [45]

Answer:

$\huge\boxed{\sf A = 8\ cm\²}$

Step-by-step explanation:

<u>Given data:</u>

Base = b = 4 cm

Height = h = 4 cm

<u>Required:</u>

Area of triangle = A = ?

<u>Formula:</u>

A = bh / 2

<u>Solution:</u>

A = (4)(4) / 2

A = 16 / 2

A = 8 cm²

$\rule[225]{225}{2}$

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2 years ago

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A grinding wheel manufacturer designed a new grinding wheel. Repeated tests were conducted on wheels of approximately the same w

sergejj [24]

Answer:

a) $a=225 +0.674*16.5=236.121$

So the value of height that separates the bottom 75% of data from the top 25% is 236.121.

b) $P(X \geq 3) = 1-P(X$

c) $P(\bar X \geq 225)=1- P(\bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Part a

Let X the random variable that represent the cuts of a population, and for this case we know the distribution for X is given by:

$X \sim N(225,16.5)$

Where $\mu=225$ and $\sigma=16.5$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.25$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=0.674=\frac{a-225}{16.5}$

And if we solve for a we got

$a=225 +0.674*16.5=236.121$

So the value of height that separates the bottom 75% of data from the top 25% is 236.121.

Part b

For this case we know that the individual probability of select one wheel with a cutting rate higher than the calculated value in part a is 0.25, and we select n =10 so then we can use the binomial distribution for this case:

$X\sim Bin(n=10, p=0.25)$