Pablo is running a 15.5-kilometer race.

Rosa is converting a unit of measure in one system to a unit of measure in another system (1, 760yd)/(1mj) * (0.914m)/(1yd) * (1

Murljashka [212]

Answer:

The statement about Rosa's calculations that is true is (0.914m)/(1yd).

Step-by-step explanation:

The ratio of meter (m) to yard (yd) is 0.914 : 1.

Therefore, the conversion factor is 0.914 m/1 yd

6 0

3 years ago

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Assume that 8% of people are left-handed. We select 6 people at random. a) How many lefties do you expect? b) With what sta

klemol [59]

Answer:

a) 0.48

b) 0.6645

c) 12.5

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are left-handed, or they are not. The probabilities of each person being left-handed are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

The number of trials expected to find r sucesses is given by

$N = \frac{r}{p}$

In this problem we have that:

Assume that 8% of people are left-handed. We select 6 people at random.

This means that $p = 0.08, n = 6$

a) How many lefties do you expect?

$E(X) = np = 6*0.08 = 0.48$

b) With what standard deviation?

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{6*0.08*0.92} = 0.6645$

c) If we keep picking people until we find a lefty, how long do you expect it will take?

Number of trials to find 1 success. So

$N = \frac{r}{p} = \frac{1}{0.08} = 12.5$

4 0

3 years ago

Can you work out the volume of a cube with a length of 10cm

PolarNik [594]

Answer

v = 1000 cubic cm

Step-by-step explanation:

The formula for Volume of Cube is V = $s^{3}$

in this case the sides are 10 cm so we plug in the numbers

v = $10^{3}$

v = 1000 cubic cm

5 0

3 years ago

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If these two shapes are similar, what is the measure of the missing length j?

nadya68 [22]

Answer:

2

Step-by-step explanation:

If two shapes are similar, this means the ratio of similar sides to each other are the same.

So, in the green shape, the long side length is 5 mm. In the purple shape, the long side length is 10 mm in length. The ratio is therefore 5 to 10, which can be simplified to 1 to 2 (which is basically saying that the side lengths of the purple shape are double the length of the sides of the green shape).

Using the same 1 to 2 ratio, you know that the short side length on the green shape is 1. The short side length on the purple shape (j) must therefore be double, which is 2.

8 0

3 years ago

Need Help ASAP only correct answers. Working on it now. Took a picture. question: Figure ABCDE is the result of a 180° rotation

Angelina_Jolie [31]

Answer:∠M in the pre-image corresponds to ∠B in the image.

Step-by-step explanation:

When we look at the figures , we can see that the three vertices B , C , D are one side as vertices to M , N ,O .

Clearly , vertex C corresponds to vertex N ( presents in the middle )

Also, point B is at the right from point C .In Figure L M N O P , vertex M is at the right from vertex N .Thus , vertex M corresponds the vertex B.

It means ∠M in the pre-image corresponds to ∠B in the image.

brain list this answer thankyou:)

7 0

3 years ago