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Natasha_Volkova [10]

2 years ago

14

A snail is travelling at 0.4 millimetres per second. Work out the snail's speed in metres per hour. Show clear working out witho

ut a calculator

1 answer:

GrogVix [38]2 years ago

6 0

60 sec=1 min so 3600sec in a hour .4mm=0.0004meters in a hours time the snail would have moved 1440mm or
(1.44mph)

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if two points are given,then exactly one line can be drawn through those two points.which geometry term does the statement repre

lubasha [3.4K]

Answer:

This is a postulate which states that through any two points, there is exactly one line.

Step-by-step explanation:

A postulate is a statement that is assumed true without proof.

5 0

2 years ago

Read 2 more answers

the length of the rectangle is measured as 370mm correct to 2 significant figures.a) what is the upper bound for the length?the

ivanzaharov [21]

Answer:

a) 375

b) 7062.75 mm²

Step-by-step explanation:

b) We need to find the shortest possible width and length to get the smallest possible area.

To get the boundaries for 19.4, we go on to the next significant figure (the hundredths) and ± 5 of them.

The boundaries are, therefore: 19.35 - 19.45

As for the length, we can see they've added 5 units as the measurement is correct to 2 sig' figures, which is the tens.

And so, if we do as we did before, we go to the next sig' figure (the units) and ± 5 of them, we get the boundaries to be 365 - 375.

Now, we just multiply the lower bounds of the length and width to get the minimal/lower-bound area:

365 * 19.35 = 7062.75 mm²

7 0

1 year ago

An airliner carries 150 passengers and has doors with a height of 78 in. Heights of men are normally distributed with a mean of

iogann1982 [59]

Answer:

Step-by-step explanation:

x, height of men is N(69, 2.8)

Sample size n =150

Hence sample std dev = $\frac{2.8}{\sqrt{150} } =0.229$

Hence Z score = $\frac{x-69}{0.229}$

A) Prob that a random man from 150 can fit without bending

= P(X<78) = P(Z<3.214)=1.0000

B) n =75

Sample std dev = $\frac{2.8}{\sqrt{75} } =0.3233$

P(X bar <72) = P(Z<9.28) = 1.00

C) Prob of B is more relevent because average male passengers would be more relevant than a single person

(D) The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height.

3 0

2 years ago

The rabbit population on a small island is observed to be given by the function P(t) = 130t − 0.3t^4 + 1100 where t is the time

Montano1993 [528]

The maximum occurs when the derivative of the function is equal to zero.
$P(t)=-0.3t^{4}+130t+1100 \\ P'(t)=-1.2t^{3}+130 \\ 0=-1.2t^{3}+130 \\ 1.2t^{3}=130 \\ t^{3}= \frac{325}{3} \\ t=4.76702$
Then evaluate the function for that time to find the maximum population.
$P(t)=-0.3t^{4}+130t \\ P(4.76702)=-0.3*4.76702^{4}+130*4.76702+1100 \\ P(4.76702)=1564.79201$
Depending on the teacher, the "correct" answer will either be the exact decimal answer or the greatest integer of that value since you cannot have part of a rabbit.

7 0

2 years ago

Two towns, A and B, are connected by a road. At sunrise, Pat begins biking from A to B along this road, while simultaneously Dan

Gnoma [55]

Answer:

The answer is "4.5"

Step-by-step explanation:

Given value:

$\text{time = 11:15 PM}$

formula:

$\to t^2=\frac{pt}{D} \times \frac{Dt}{P}\\\\_{where}\\\\\text {t= time = noon - sunrise}\\\\\text{p= pat's speed}\\\\\text{D= Dana's speed}\\$

$\to t^2= 11.25 \times 5\\\\$

$= 56.25\\\\$

$\to t= 7.5$

if the sunrise value is =12

$\to sunrise = 12- 7.5$

$= 4.5$

3 0

2 years ago