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3 years ago

10

Shannon is 16.299 miles from the border. Greta is 16.92 miles from the border. If they move towards a given point on the border

at the same pace, who will reach the border first

1 answer:

Bond [772]3 years ago

8 0

Shannon will get there first. This is because 16.299 is less than 16.92. When looking at decimals, the first number at the decimal is most important.

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Select the correct answer.<br> Which of these is not a key feature of the function

kkurt [141]

Answer:

what is the answer to this question?

Step-by-step explanation:

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3 years ago

If the angle m/_AEB=47 and angle m/_AEC=105 with the angle AE = 0, what is m/_BED

algol13

Answer:

80*

Step-by-step explanation:

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3 years ago

The speed at which cars travel on the highway has a normal distribution with a mean of 60 km/h and a standard deviation of 5 km/

oee [108]

The z-score of the speed value gives the measure of dispersion of the from

the mean observed speed.

The probability that the speed of a car is between 63 km/h and 75 km/h is

<u>0.273</u>.

The given parameters are;

The mean of the speed of cars on the highway, $\overline x$ = 60 km/h

The standard deviation of the cars on the highway, σ = 5 km/h

Required:

The probability that the speed of a car is between 63 km/h and 75 km/h

Solution;

The z-score for a speed of 63 km/h is given as follows;

$Z=\dfrac{x-\bar x }{\sigma }$

Which gives;

$Z=\dfrac{63-60 }{5 } = 0.6$

From the z-score table, we have;

P(x < 63) = 0.7257

The z-score for a speed of 75 km/h is given as follows;

$Z=\dfrac{75-60 }{5 } = 3$

Which gives, P(x < 75) = 0.9987

The probability that the speed of a car is between 63 km/h and 75 km/h is therefore;

P(63 < x < 75) = P(x < 75) - P(x < 63) = 0.9987 - 0.7257 = 0.273

The probability that the speed of a car is between 63 km/h and 75 km/h is

<u>0.273</u>.

Learn more here:

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2 years ago

what are the solutions of the equation x4 95x2 – 500 = 0? use factoring to solve. and x = ±10 and x = ±10i and x = ±10i and x =

Andreas93 [3]

Doing factorization, we know that the factors of the given equation are ±√5 and ±10i.

<h3>What is Factorization?</h3>

In mathematics, factorization or factoring consists of writing a number or any mathematical item as a product of several factors, typically small or easier objects of the same.

For example, 3 × 5 is a factorization of an integer 15 and is a factorization of an equation x² – 4.

So, we have the equation:

x⁴ + 95x² – 500 = 0

Factorizing the above equation:

x⁴ + 100x² - 5x² - 500 = 0

x²(x² + 100) - 5(x² + 100) = 0

(x² - 5)(x² + 100) = 0

Solving further:

x² = 5

x² = -100

x = ±√5

x = √-100

Factors: ±√5 and ±10i

Therefore, doing factorization, we know that the factors of the given equation are ±√5 and ±10i.

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#SPJ4

Complete question:
What are the solutions of the equation x4 + 95x2 – 500 = 0? Use factoring to solve.

x=+- sqrt 5 and x = ±10

x=+- sqrt i5 and x = ±10i

x=+- sqrt 5 and x = ±10i

x=+- sqrt i5 and x = ±10

7 0

1 year ago

A tank has the shape of an inverted circular cone (point at the bottom) with height 10 feet and radius 4 feet. The tank is full

german

Answer:

Step-by-step explanation:

Given that tank has the shape of inverted circular cone

Height = 10 feet and radius = 4 feet

After water pumped out height = 5 ft

Hence volume of water pumped out = $\frac{1}{3} \pi R^2 h-\frac{1}{3} \pi r^2 h'$

Here we have r/h is constant always

Hence $\frac{r}{h'} =\frac{R}{h} \\r=Rh'/h = 4(5)/10 = 2$

Substitute to get volume of water pumped out = $\frac{1}{3} \pi (10*16-4*5)=\frac{140\pi}{3}$

Mass of water = density x volume = $62.4(\frac{140\pi}{3})\\= 2912\pi lbs$

Work done = force x displacement

= mass x accen x displacement

Here acceleration = gravity = 32.2 ft/sec^2

Displaement = height reduced = 5 ft

W=2912(32.2)(5)\pi =468832\pi foot -pound

6 0

3 years ago