Drag the missing statements and reasons to the correct spot to complete the proof

Please help! Big grade! Extra points!! Help asap!

Sonbull [250]

Answer:

5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A car was Skid to a half a uniform rate of -9.4 m/s ^2 squared if the measure skid marks that are 34 m long with what speed is t

babymother [125]

Answer:

vi = 25.28 m/s

Step-by-step explanation:

a = -9.4 m/s²

x = 34 m

vf = 0 m/s

vi = ?

We can apply the equation

vf² = vi² + 2*a*x

⇒ vi = √(vf² - 2*a*x)

⇒ vi = √((0 m/s)² - 2*(-9.4 m/s²)*34 m)

⇒ vi = 25.28 m/s

5 0

3 years ago

The half-life of a radioactive kind of iodine is 60 days. How much will be left after 240 days, if you start with 480 grams of i

exis [7]

Answer:

30 grams

Step-by-step explanation:

half life is 60 days so every 60 days the amount 480 grams will be half

in 240 days will decay 240 /60 = 4 times

once 480 /2 = 240

twice 240 /2 = 120

trice 120 / 2 = 60

four times 60/2 = 30 grams will be left

6 0

3 years ago

How do I add and subtract radicals with no like terms

liq [111]

Most real number arithmetic is pretty vacuous

$\sqrt 2 + \sqrt 3 = \sqrt{2} + \sqrt{3}$

That's about as good a way as possible to write this particular real number. But it's far from the only way.

$(\sqrt 2 + \sqrt 3)^2 = \sqrt{2}^2 + 2\sqrt 2 \sqrt 3 + \sqrt{3}^2 = 5 + 2 \sqrt 6$

so

$\sqrt 2 + \sqrt 3 = \sqrt{5 + 2 \sqrt 6}$

Sometimes you can factor something out and you have a common radical:

$\sqrt{32} + \sqrt{128} = \sqrt{2^5} + \sqrt{2^7} = 4 \sqrt{2} + 8 \sqrt{2} = 12 \sqrt{2}$

But most of them are vacuous,

$3\sqrt{7} + 34 \sqrt{13} = 3\sqrt{7} + 34 \sqrt{13}$

8 0

4 years ago

Maggie is practicing her penalty kicks for her upcoming soccer game. During the practice, she attempts 10 penalty kicks. If each

arlik [135]

Answer:

$P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)$

And we can find the individual probabilities like this:

$P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176$

$P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072$

$P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013$

And adding we got:

$P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.65)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

Solution to the problem

For this case we want to find this probability:

$P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)$

And we can find the individual probabilities like this:

$P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176$

$P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072$

$P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013$

And adding we got:

$P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262$

5 0

3 years ago