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olga_2 [115]
3 years ago
15

Two cities have nearly the same​ north-south line of 117 degrees Upper W. The latitude of the first city is 29 degrees Upper N c

ommaand the latitude of the second city is 39 degrees N. Approximate the distance between the cities if the average radius of Earth is 6400 km.
Mathematics
1 answer:
Mariulka [41]3 years ago
4 0

Answer:

1117 km

Step-by-step explanation:

Because the two cities are approximately on the same North-South line, they are on the same longitude. The difference in their latitudes is 39° - 29° = 10°. We are subtracting because they are both in the northern hemisphere. The distance between them is

\dfrac{10}{360}\times2\pi\times6400 \text{ km} = 1117 \text{ km}

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Can i pls have help with is soooooooooo confused
STALIN [3.7K]

500.

Solution:  210 is 42% of X  

Equation: Y = P% * X  

Solving our equation for X

X = Y/P%

X = 210/42%  

Converting percent to decimal:

p = 42%/100 = 0.42  

X = 210/0.42  

X = 500

6 0
3 years ago
a statistics professor finds that when he schedules an office hour at the 10:30a, time slot, an average of three students arrive
Veseljchak [2.6K]

Answer:

The probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.

Step-by-step explanation:

Let <em>X</em> = number of students arriving at the 10:30 AM time slot.

The average number of students arriving at the 10:30 AM time slot is, <em>λ</em> = 3.

A random variable representing the occurrence of events in a fixed interval of time is known as Poisson random variables. For example, the number of customers visiting the bank in an hour or the number of typographical error is a book every 10 pages.

The random variable <em>X</em> is also a Poisson random variable because it represents the fixed number of students arriving at the 10:30 AM time slot.

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 3.

The probability mass function of <em>X</em> is given by:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,3...,\ \lambda>0

Compute the probability of <em>X</em> = 2 as follows:

P(X=2)=\frac{e^{-3}3^{2}}{2!}=\frac{0.0498\times 9}{2}=0.2241

Thus, the probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.

6 0
3 years ago
Read 2 more answers
Multiply the polynomials. (4x2 + 3x + 7)(8x – 5)
Triss [41]
32x^3+4x^2+41x-35

hope it helps

4 0
3 years ago
Read 2 more answers
Jada has 126 blue marbles and 135 yellow marbles. She packages them in bags of 8 marbles each. She divides the total number of m
FrozenT [24]

Answer:

Jada has 5 marbles left after filling 32 bags.

Step-by-step explanation:

Jada has 126 blue marbles and 135 yellow marbles

Total Marbles=126+135=261

She divides by 8: 261/8=32\frac{5}{8} i.e. 32 Remainder 5 marbles.

The correct interpretation is Jada has 5 marbles left after filling 32 bags.

3 0
3 years ago
Howard cuts 54 centimeters off of a 1- meter board. how much of the board does Howard have left?
OLEGan [10]
There are 100 centimeters in 1 meter, so 54 centimeters subtracted from 100 centimeters(1 meter) is 
100-54=46
so 46 centimeters remain, or 46/100 of the board which is really 23/50 of the board.
So basically, your possible answers:
46 centimeters
0.46 meters
46% of the original board
23/50 of the original board
6 0
4 years ago
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