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Nataly [62]
3 years ago
11

Preston goes on a camel safari in Africa. They travel 5 km north, then 3km east and then 1 km north again. What distance did he

cover? What was his displacement?

Mathematics
1 answer:
Anton [14]3 years ago
4 0
What distance did he cover? well, he went 5km first, then 3km, then 1km, 5 + 3 + 1, is how much he covered.

what was his displacement? well, he has a north displacement of 6, 5 + 1, and a horizontal displacement of 3, check picture below.

so, his total displacement is "c" northeast.

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Julie bought $8.64 worth of 57-cent stamps and 30-cent stamps. The number of 30-cent stamps was 6 less than the number of 57-cen
Yuri [45]

Answer:

The number of 57-cent stamps that Julie bought is 12

Step-by-step explanation:

Given equation

0.57 s + 0.3 ( s − 6 ) = 8.64

Open bracket

0.57s + 0.3s - 1.8 = 8.64

Collect like terms

0.87s = 8.64 + 1.8

0.87s = 10.44

Divide both sides by 0.87

s = 12

The number of 57-cent stamps that Julie bought is 12

3 0
3 years ago
What is the radius and diameter of the following circle?
d1i1m1o1n [39]

Answer:

radius=7.5, diameter=13

Step-by-step explanation:

diameter is the length across a circle through the middle, and it is given in the picture. radius is half of the diameter

8 0
3 years ago
The mean number of daily surgeries at a local hospital is 6.2. Assume that surgeries are random, independent events. (a) The cou
Scilla [17]

Answer:

a) correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2  surgeries  in a given day is 0.0536

Step-by-step explanation:

Given data:

mean number is given as 6.2

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

we know that variance is given as\sigma^2 = mean = 6.2

hence, standard deviation is given as \sqrt{6.2} = 2.48998

thus standard deviation is 2.49

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2  surgeries  in a given day is

P(X \leq 2) = P(X =0) + P(X =1) + P(X =2)

                 = \frac{e^{-6.2} 6.2^0}{0!} +\frac{e^{-6.2} 6.2^1}{1!} +\frac{e^{-6.2} 6.2^2}{2!}

                 = 0.002029 + 0.012582+ 0.039006

                 = 0.053617

                = 0.0536

7 0
3 years ago
Help me plz and show work <3
icang [17]

Answer:

y = (5-2x)/7 = 5/7 - 2x/7. option C

Step-by-step explanation:

here's your solution

=> 7y + 2x = 5

=> 7y = 5 - 2x

=> y = (5-2x)/7

\huge\mathfrak\red{hope \: it \: helps...}

4 0
3 years ago
Mrs. Roberts plants tomatoes and radishes in the areas shown in the model below.
PtichkaEL [24]

Answer: C

Step-by-step explanation:

6 0
3 years ago
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