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joja [24]
3 years ago
15

ANSWER PLS PLS PLS Solve the proportion!

7D%7B21%7D" id="TexFormula1" title="-\frac{6}{7}=\frac{n}{21}" alt="-\frac{6}{7}=\frac{n}{21}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
aliya0001 [1]3 years ago
8 0

To solve this, you need to isolate/get the variable "n" by itself in the equation:

-\frac{6}{7} =\frac{n}{21}    Multiply 21 on both sides to get "n" by itself

(21)(-\frac{6}{7} )=(21)\frac{n}{21}

-\frac{126}{7} =n     Simplify the fraction

-18 = n

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Suppose a continuous probability distribution has an average of μ=35 and a standard deviation of σ=16. Draw 100 times at random
yulyashka [42]

Answer:

To use a Normal distribution to approximate the chance the sum total will be between 3000 and 4000 (inclusive), we use the area from a lower bound of 3000 to an upper bound of 4000 under a Normal curve with its center (average) at 3500 and a spread (standard deviation) of 160 . The estimated probability is 99.82%.

Step-by-step explanation:

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

Normal probability distribution

Problems of normally distributed samples are solved using 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 sums, we have that the mean is \mu*n and the standard deviation is s = \sigma \sqrt{n}

In this problem, we have that:

\mu = 100*35 = 3500, \sigma = \sqrt{100}*16 = 160

This probability is the pvalue of Z when X = 4000 subtracted by the pvalue of Z when X = 3000.

X = 4000

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

By the Central Limit Theorem

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

Z = \frac{4000 - 3500}{160}

Z = 3.13

Z = 3.13 has a pvalue of 0.9991

X = 3000

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

Z = \frac{3000 - 3500}{160}

Z = -3.13

Z = -3.13 has a pvalue of 0.0009

0.9991 - 0.0009 = 0.9982

So the correct answer is:

To use a Normal distribution to approximate the chance the sum total will be between 3000 and 4000 (inclusive), we use the area from a lower bound of 3000 to an upper bound of 4000 under a Normal curve with its center (average) at 3500 and a spread (standard deviation) of 160 . The estimated probability is 99.82%.

5 0
3 years ago
Which of the following terms describe the 2 in the expression 2x+5.
gulaghasi [49]

Answer:

No . C = COEFFICIENT IS THE ANSWER OF THE QUESTION

7 0
2 years ago
Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards. How far did Tanya run?
Yuliya22 [10]

Tanya run 50 yards across the diagonal of the rectangular field.

<u>Step-by-step explanation</u>:

Step 1 :

  • Length of the rectangular field = 40 yards
  • width of the rectangular field = 30 yards

Step 2 :

Measure of the diagonal = √(length^2 + width^2 )

Step 3 :

Diagonal = √(40^2 + 30^2 )

               = √(1600 + 900)

               = √2500

               = ±50

Step 4 :

Since distance cannot be negative, The measure of diagonal = 50 yards.

∴ Tanya runs diagonally across a rectangular field is 50 yards.

4 0
2 years ago
Which component in a graph indicates an independent factor?
nikklg [1K]
In a cartesian plane, there are two axes, the x and y axes. The independent component of the graph is the x - component or the value of the abscissas. Moreover, the dependent variable of the graph is in the y-axis or in the ordinates. 
3 0
3 years ago
You work for a swimming pool cleaning service. The pool you are cleaning holds 15,000 gallons of water. The cleaning solution yo
katrin2010 [14]

Answer:

The answer would be 2.5 oz. of solution

Step-by-step explanation:

If you need 1:6,000 ratio and the pool you are cleaning is 15,000 then you divide 15,000 by 6,000 and you get what your ratio should be

4 0
3 years ago
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