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Vsevolod [243]
3 years ago
11

Eight less than the product of 4 and a number is equal to 9.​

Mathematics
2 answers:
tensa zangetsu [6.8K]3 years ago
6 0
Hope this helps with the answer to your question :)

Len [333]3 years ago
5 0

Answer:

4x - 8 = 9

Step-by-step explanation:

Hope this helps! :)

Please choose me! I was first! :) PLS BRAINLIEST I NEED ONE MORE! :(

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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
Substract 11 3/4 - 9 8/15
Tju [1.3M]

Answer:

2 and 13/60

Step-by-step explanation:

First, we must create a common denominator in the fractions. For the given denominators, it would be 60, so 3/4 would be 45/60 and 8/15 would be 32/60. From here, we can just subtract and get 2 and 13/60.

Hope this helps!

3 0
3 years ago
Factor the following polynomial: <br> 2x^2+8x
timama [110]

<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em>⤴</em>

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6 0
3 years ago
Find the angles a,b,c and d
maria [59]

Answer:

a°=79°[alternate angles]

c°=83°[alternate angle]

a° +d°=180°[straight angle]

79°+d°=180

or,d°=180-79

so,d°=101°

Now,

b°+c°=170°[sum of straight angle]

b°+83°=180°

b°=180°-83°

so,b°=97°

4 0
2 years ago
Write an inequality that represents each sentence.
ivann1987 [24]
1. Julia's ≤ Rachel's hair

2. 40 < 74
7 0
3 years ago
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