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LekaFEV [45]
3 years ago
6

PLEASE HELP!!!!

Mathematics
2 answers:
Vanyuwa [196]3 years ago
8 0
If x+5 is the base, the equation means (x+5)^2=36

clearly x+5=6

hence x=1
MrMuchimi3 years ago
6 0
   
\displaystyle\\
\bf\\
log_{x+5} 36 = 2\\\\
\Longrightarrow~~(x+5)^2 = 36\\\\
(x+5)^2 = 6^2\\\\
x+5= 6\\\\
x = 6 - 5 = \boxed{\bold{1}}



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Each contestant in the Hunger Games must be trained to compete. Suppose that the time it takes to train a contestant has mean 5
LiRa [457]

Answer:

11.51% probability that it will take less than 450 days to train all the contestants.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sum of n variables, the mean is \mu*n and the standard deviation is s = \sigma\sqrt{n}

In this question:

n = 100, \mu = 100*5 = 500, s = 4\sqrt{100} = 40

Approximate the probability that it will take less than 450 days to train all the contestants.

This is the pvalue of Z when X = 450.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{450 - 500}{40}

Z = -1.2

Z = -1.2 has a pvalue of 0.1151

11.51% probability that it will take less than 450 days to train all the contestants.

8 0
3 years ago
What is the VALUE OF X PLS HELPP
baherus [9]

Answer: I think it would be 285.

Step-by-step explanation:

A circle is 360* so I did 360-75. Hope this helps!!!

4 0
3 years ago
Calculate the volume of this cone.
Anuta_ua [19.1K]

Answer:

6m

Step-by-step explanation:

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8 0
3 years ago
100p for an answer please on a test
Pavlova-9 [17]
Where’s the rest of the question? Cant answer unless I can see if she’s correct or not.
4 0
3 years ago
Find all three angles of the triangle x-5 x+10 x-35
Alexus [3.1K]

Answer:

See below ~

Step-by-step explanation:

<u>Given</u> : 3 angles of a Δ

  • (x + 5)°
  • (x + 10)°
  • (x + 15)°

<u>Solving</u> :

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<u>Finding the angles</u>

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  • x + 10 = 50 + 10 = 60°
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