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2 years ago

How is the 2 in the number 582 similar to and different from the 2 in the number 528

2 answers:

6 0

Well, the 2 in 582 is in the ones place and the 2 in528 is in the tens place so

2 and 20
one is 10 times the other
they are both multiples of 2
one is a prime number and the other is a compsite

Zigmanuir [339]2 years ago

4 0

582
2=2
528
2=20
Different .
=20-2
=18

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A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pr

Igoryamba

Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Random voting:

So 50% of voting yes, 50% no, so $p = 0.5$

15 members:

This means that $n = 15$

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

$p = P(X = 0) + P(X = 15)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003$

$P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003$

$p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006$

0.006% probability that the final vote count is unanimous.

7 0

2 years ago

What is the surface area of the triangular prism?

FrozenT [24]

Answer:

252

Step-by-step explanation:

if you go around the faces, 20*5 is 100, 20*4 is 80, 20*3 is 60, 2*3 is 6 and another 2*3 is 6. add these together

3 0

2 years ago

Surface Area of a sphere, A grapefruit with C = 14cm.

9966 [12]

Surface area SA: $4\pi r^2$
Circumference C: $2\pi r$ dividing this you get $7=\pi r$ and $r= \frac{7}{\pi}$

Now let's input the radius $r$ into the Surface area formula...
$4\pi r^2\rightarrow 4\pi(\frac{7}{\pi})^2=4\pi(\frac{49}{\pi^2})=\frac{196}{\pi}$

3 0

2 years ago

Find the equation in standard form.<br><br> y − 3 = 4/7(x − 7)

Julli [10]

The answer to y-3=4/7(x-7) is y=4/7x-1

8 0

2 years ago

Read 2 more answers

The height that a ball bounces varies directly with the height from which it is dropped. A certain ball bounces 30 cm when dropp

Akimi4 [234]

The ball will bounce 72 cm high if dropped from a height of 120 cm

<u>Solution:</u>

Given, The height that a ball bounces varies directly with the height from which it is dropped.

A certain ball bounces 30 cm when dropped from a height of 50 cm.

We have to find how high will the ball bounce if dropped from a height of 120 cm?

Now, according to given information,

When dropped from 50 cm ⇒ bounces 30 cm

Then, when dropped from 120 cm ⇒ bounces "n" cm

Now by Chris cross method, we get,

$\begin{array}{l}{n \times 50=30 \times 120} \\\\ {\rightarrow n=\frac{30 \times 120}{50}} \\\\ {\rightarrow n=\frac{3600}{50}} \\\\ {\rightarrow n=72}\end{array}$

Hence, the ball bounces 72 cm high.

5 0

2 years ago