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2 years ago

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usian bolt is considered to be te fastest person on Earth. He holds the record for the fastest 100 m, which he ran in 9.58 secon

ds in 2009. We'll assume that Bolt ran the race at a constatnt speed. How many meter did bolt run in 3 seconds

1 answer:

borishaifa [10]2 years ago

7 0

In 3 seconds, Bolt ran 3/9.58 of the race. This is equal to 3/9.58*100=31.3 meters.

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ii. A machine is sold for 7,000/-. The gross loss is 20% of the cost. What are the cost and gross loss?

aleksley [76]

Given:

Selling price of a machine = 7000/-

Gross loss = 20%.

To find:

The cost and gross loss.

Solution:

Let x be the cost of machine.

According to the question,

$x-20\%\text{ of }x=7000$

$x-\dfrac{20}{100}x=7000$

$x-0.2x=7000$

$0.8x=7000$

Divide both sides by 0.8.

$x=\dfrac{7000}{0.8}$

$x=8750$

So, the cost of the machine is 8750/-.

Now,

$\text{Gross Loss}=\text{Cost}-\text{Selling price}$

$\text{Gross Loss}=8750-7000$

$\text{Gross Loss}=1750$

Therefore, the gross loss is 1750/-.

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2 years ago

What is the 50th term in the sequence 17, 14, 11, 8, ...

Fed [463]

The answer would be -142, because you have to keep subtracting 3 and I got -142

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3 years ago

Explain to a classmate why 0.8 and 0.80 name the same number.

AlladinOne [14]

Because the decimal point dosent change therefor u have the same number.

7 0

3 years ago

An ordinance requiring that a smoke detector be installed in all previously constructed houses has been in effect in a particula

bonufazy [111]

Answer:

a. P=0.01222

b. P=0.98778

c. The probability of rejecting the claim is now P=0.00298.

Step-by-step explanation:

In this case, we evaluate the sampling distribution for a population proportion π=0.8 with a sample size of 25.

We need to calculate the probability of getting a sample mean below 15, which means p=15/25=0.6.

The standard deviation of the sampling distribution is:

$\sigma_M=\sqrt{\frac{\pi(1-\pi)}{N}} =\sqrt{\frac{0.8\cdot0.2}{25}} =\sqrt{\frac{0.16}{25} } =0.08$

The z value por p=0.6 is

$z=\frac{p-\pi+0.5/N}{\sigma} =\frac{0.6-0.8+0.5/25}{0.08}= \frac{-0.18}{0.08} =-2.25$

The probability of having a sample mean less than 15 is

$P(\bar X$

The probaiblity of not rejecting the claim is 1-0.01222=0.98778

If the value 15 is replaced by 14, we have a new value of p=14/25=0.56.

There will be less chances of rejecting the hypothesis.

$z=\frac{p-\pi+0.5/N}{\sigma} =\frac{0.56-0.8+0.5/25}{0.08}= \frac{-0.22}{0.08} =-2.75$

$P(\bar X$

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3 years ago

A line passes through the points one, four and three, -4 which is the equation of the line

gavmur [86]

ANSWER

$y = - 4x + 8$

EXPLANATION

The given line passes through (1,4) and (3,-4).

The slope of this line is calculated using the formula:

$m =\frac{y_2-y_1}{x_2-x_1}$

We substitute the points into the slope formula to get:

$m = \frac{ - 4 - 4}{3 - 1}$

$\implies \: m = \frac{ - 8}{2}$

$m = - 4$

We substitute the first point and slope into the point-slope formula

$y-y_1=m(x-x_1)$

This implies that

$y - 4 = - 4(x - 1)$

We expand to get

$y - 4 = - 4x + 4$

$y = - 4x + 2/4+ 4$

$y = - 4x + 8$

6 0

3 years ago