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4 years ago

A number to the 12th power divided by the same number to the 9th power equals 343. What is the

Mathematics

1 answer:

Evgen [1.6K]4 years ago

8 0

Answer:

Step-by-step explanation:

Explanation:

Let's call our number

. The statement written as a formula is

125

We can simplify the fraction, and we have

125

To solve for

, take the third root of both sides:a

(

125

)

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How do find x in this equation

ankoles [38]

I remember having this question but I forgot the answer to it but it could be 1.047 but I don’t have a calculator to do the rest sorry but I hope it helps u some how :(

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3 years ago

Please help asap! 20 points for helping and show all work

Alona [7]

14x2=28
28 divided by 3 is 9.3
the answer is 9.3

6 0

2 years ago

GCF of 24 , 36 , and 60

Aloiza [94]

24 36 60 
1 × 24 1 × 36 1 × 60
2 × 12 2 × 18 2 × 30
3 × 8 3 × 12 3 × 20
4 × 6 4 × 9 4 × 15
 6 × 6 5 × 12
 6 × 10

GCF(24, 36, 60) = 12

4 0

3 years ago

Read 2 more answers

Suppose 85% of all students taking a beginning programming course fail to get their first program to run on first submission. Co

Margarita [4]

Answer:

a) $P(X=6)=(7C6)(0.85)^6 (1-0.85)^{7-6}=0.396$

b) $P(X\leq 6)$

And we can use the complement rule and we got:

$P(X\leq 6)= 1- P(X>6) = 1-P(X = 7)$

$P(X=7)=(7C7)(0.85)^7 (1-0.85)^{7-7}=0.321$

And replacing we got:

$P(x \leq 6) = 1-0.321= 0.679$

c) $P(X\geq 6)= P(X=6) +P(X=7) = 0.396+0.321= 0.717$

d) $E(X) = 7*0.85= 5.95$

e) $\sigma = \sqrt{7*0.85*(1-0.85)}=0.945$

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".

Solution to the problem

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

$X \sim Binom(n=7, p=0.85)$

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:

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

Part a

We want this probability:

$P(X=6)$

And using the probability mas function we got:

$P(X=6)=(7C6)(0.85)^6 (1-0.85)^{7-6}=0.396$

Part b

We want this probability:

$P(X\leq 6)$

And we can use the complement rule and we got:

$P(X\leq 6)= 1- P(X>6) = 1-P(X = 7)$

$P(X=7)=(7C7)(0.85)^7 (1-0.85)^{7-7}=0.321$

And replacing we got:

$P(x \leq 6) = 1-0.321= 0.679$

Part c

We want this probability:

$P(X\geq 6)= P(X=6) +P(X=7) = 0.396+0.321= 0.717$

Part d

the expected value is given by:

$E(X) = 7*0.85= 5.95$

Part e

The standard deviation is given by:

$\sigma = \sqrt{7*0.85*(1-0.85)}=0.945$

7 0

3 years ago

What is the slope of the line shown in the graph?

tatiyna

Answer:

The answer is B - 1/2.

Step-by-step explanation:

I got it right

8 0

2 years ago

Read 2 more answers