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2 years ago

24. Michael leaves his house at 0837 and travels by motorcycle to the railway station, which is 27 km from his

Mathematics

1 answer:

Neko [114]2 years ago

5 0

Answer:

i) 45km/hr

ii)29 min

Step-by-step explanation:

average speed = distanced travelled / time elapsed

It took 36min and need to convert to hr

36min x $\frac{hours}{60 min}$ = $\frac{36 hr}{60 min}$ = $\frac{9 }{15 }$ hours

distanced travelled is 27 km;

average speed = 27km / (9/15hr) = 45 km/hr

Add 36min to 0837 becomes 0913, the train will arrive at 0942 and the wait will be the difference of 0942 - 0913 = 29 min

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Raina, Trey, and Ali have a total of $145 in their wallets. Trey has 4 times what Ali has. Raina has $7 more than Ali. How much

miv72 [106K]

Answer:

Step-by-step explanation:

If ali has 23 so Raina has 7 more than Ali = 23 + 7 = 30

And trey has 4 times as much as Ali = 23 x 4 = 92

Total = 92 + 23 + 30 = 145

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2 years ago

Entomologists estimate that an average person consumed almost a pound of bug parts each year. There are that many insect eggs, l

gregori [183]

Answer:

0.9797

Step-by-step explanation:

We have X = number of insects in the 25bgrams of butter

Then the legal limit of concentration in peanut butter = 30 fragments/ 100 grams

Then insect amount in 25 grams =

E(X) = 30/100 x 25

= 0.3 x 25

= 7.5 fragments of insects

Using the poisson function in Excel, the probability of at least 3 crunchy critters

1 - p(X<=2)

p(X<=2) = POISSON (2, 7.5, TRUE) = 0.020156715

1 - 0.020156715

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2 years ago

Trig: Which complex number's graph is shown?

Andrei [34K]

ANSWER

$2 \sqrt{2} ( \cos( \frac{7\pi}{4} + i \sin( \frac{7\pi}{4} ) )$

EXPLANATION

The complex number shown has coordinates (2,-2)

$z = 2 - 2i$

The modulus is

$|z| = \sqrt{ {2}^{2} + {( - 2)}^{2} }$

$|z| = \sqrt{ 8} = 2 \sqrt{2}$

The argument is

$\theta= \tan^{ - 1} ( \frac{ - 2}{2} )$

$\theta= \tan^{ - 1} ( -1) = \frac{7\pi}{4}$

The polar form is

$2 \sqrt{2} ( \cos( \frac{7\pi}{4} + i \sin( \frac{7\pi}{4} ) )$

The first option is correct.

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3 years ago

-36y=x^2 The directrix of the parabola is:

Aleksandr-060686 [28]

Here, the equation of parabola is: (-36y)=x^2
The standard form of parabola is:

(X-h)^2=4p(y-k).
According to given equation, vertex = (0,0) and p = -9
This a vertical parabola opening down, because p = -9 here.
Therefore ditectrix will be y= -9

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2 years ago

If I cut a piece that was 5 centimeters wide and had an area of 20 centimeters. How long was the piece?

Soloha48 [4]

Area= Length x width
So....
Length= Area divided by width.
Plug in equation
20 divided by 5= L
L= 4
Answer is 4 cm

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3 years ago

Read 2 more answers