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2 years ago

4

During a normal day, there are 280 planes taking off from the airport, but the airport is a lot busier during Christmas holiday,

about 300 planes take off every day from the airport. During the Christmas holidays, the airport opens 10 hours during each day, how many planes take off from this airport in each hour?

2 answers:

vladimir1956 [14]2 years ago

7 0

Answer: Around 28 planes take off every hour

Step-by-step explanation: 336 / 12 = 28

ollegr [7]2 years ago

7 0

Answer:

30 planes per hour

Step-by-step explanation:

Divide the number of plane takeoffs by the number of hours.

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On a school bus trip, 15 out of 25 randomly selected students would like to stop for lunch. There are 55 students on the bus. Ba

allochka39001 [22]

Answer:

Step-by-step explanation:

im pretty sure its 35/55

because 25*2

=50+2

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15*2

=30+2

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2 years ago

A pebble is tossed into the air from the top of a cliff. The height, in feet, of the pebble over time is modeled by the equation

Charra [1.4K]

Answer:

96

Step-by-step explanation:

The maximum height reached by the pebble modeled by the quadratic function,

$h(t)=-16t^2+32t+80$ , can be found by finding the vertex.

Let's first find the t-coordinate of the vertex . The max height will correspond to this value of t which means we have to find the h(t)-coordinate.

When comparing $h$ to $at^2+bt+c$ , we see that:

$a=-16$

$b=32$

$c=80$

We need to evaluate the following to find the t-coordinate of the vertex:

$t=\frac{-b}{2a}$

$t=\frac{-32}{2(-16)}$

$t=\frac{-32}{-32}$

$t=1$

So now to find the correspond h(t)-coordinate, we will need to replace t in $-16t^2+32t+80$ with 1:

$-16(1)^2+32(1)+80$

$-16(1)+32+80$

$-16+32+80$

$16+80$

$96$

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2 years ago

Before she started hiking, Jessica’s altimeter read +250 meters. She climbed 200 meters and reached point A, which is at an elev

valentinak56 [21]

At point A, the reading on the altimeter is 450; at point B, it's negative 50. Was there a typo here? It's not clear what the question is.

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2 years ago

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Consider the set of differences, denoted with d, between two dependent sets: 84, 85, 83, 63, 61, 100, 98. Find the sample standa

sveta [45]

Answer:

The sample standard deviation is 15.3.

Step-by-step explanation:

Given data items,

84, 85, 83, 63, 61, 100, 98,

Number of data items, N = 7,

Let x represents the data item,

Mean of the data points,

$\bar{x}=\frac{84+85+83+63+61+100+98}{7}$

$=82$

Hence, sample standard deviation would be,

$\sigma= \sqrt{\frac{1}{N-1}\sum_{i=1}^{N} (x_i-\bar{x})^2}$

$=\sqrt{\frac{1}{6}\sum_{i=1}^{7} (x_i-82)^2}$

$=\sqrt{\frac{1}{6}\times 1396}$

$=\sqrt{232.666666667}$

$=15.2534149182$

$\approx 15.3$

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2 years ago

Which equation represents a circle that contains the point (-2, 8) and has a center at (4, 0)

nevsk [136]

Answer:

Option 1:(x-4)^2+y^2=100

Step-by-step explanation:

Given center = (h,k) = (4,0)

The point (-2,8) lies on circle which means the distance between the point and center will be equal to the radius.

So,

The distance formula will be used:

$d = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}} \\=\sqrt{(4+2)^{2}+(0-8)^{2}}\\=\sqrt{(6)^{2}+(-8)^{2}}\\=\sqrt{36+64}\\ =\sqrt{100}\\ =10\ units$

Hence radius is 10.

The standard form of equation of circle is:

(x-h)^2+(y-k)^2 = r^2

Putting the values

(x-4)^2+(y-0)^2=10^2

(x-4)^2+y^2=100

Hence option 1 is correct ..

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2 years ago

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