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Mashcka [7]
2 years ago
6

Prove that cos1° cos2° cos3°...cos180° = 0​

Mathematics
1 answer:
leva [86]2 years ago
4 0

Answer:

I don't know‍♀ sorrry bro

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A grocery store’s receipts show that Sunday customer purchases have a skewed distribution with a mean of 27$ and a standard devi
34kurt

Answer:

(a) The probability that the store’s revenues were at least $9,000 is 0.0233.

(b) The revenue of the store on the worst 1% of such days is $7,631.57.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.  

Then, the mean of the distribution of the sum of values of X is given by,  

 \mu_{X}=n\mu

And the standard deviation of the distribution of the sum of values of X is given by,  

\sigma_{X}=\sqrt{n}\sigma

It is provided that:

\mu=\$27\\\sigma=\$18\\n=310

As the sample size is quite large, i.e. <em>n</em> = 310 > 30, the central limit theorem can be applied to approximate the sampling distribution of the store’s revenues for Sundays by a normal distribution.

(a)

Compute the probability that the store’s revenues were at least $9,000 as follows:

P(S\geq 9000)=P(\frac{S-\mu_{X}}{\sigma_{X}}\geq \frac{9000-(27\times310)}{\sqrt{310}\times 18})\\\\=P(Z\geq 1.99)\\\\=1-P(Z

Thus, the probability that the store’s revenues were at least $9,000 is 0.0233.

(b)

Let <em>s</em> denote the revenue of the store on the worst 1% of such days.

Then, P (S < s) = 0.01.

The corresponding <em>z-</em>value is, -2.33.

Compute the value of <em>s</em> as follows:

z=\frac{s-\mu_{X}}{\sigma_{X}}\\\\-2.33=\frac{s-8370}{316.923}\\\\s=8370-(2.33\times 316.923)\\\\s=7631.56941\\\\s\approx \$7,631.57

Thus, the revenue of the store on the worst 1% of such days is $7,631.57.

5 0
2 years ago
Why Did the Piano Player Bang Her
Sedbober [7]

The circumference of a circle that was computed when the diameter is 3cm will be 9.426cm.

<h3>How to find the circumference?</h3>

The circumference of a circle of gotten by the formula:

C = 2πr or πd

where,

r = radius

d = diameter

Since the diameter is given as 3cm, the circumference will be:

= πd

= 3.142 × 3

= 9.426cm

In conclusion, the circumference of the circle is 9.426cm.

Learn more about circle on:

brainly.com/question/25938130

3 0
2 years ago
What does the symble for a fraction ​
Nuetrik [128]

Answer:

I don't understand the question

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Help soon!!! tysm!!!
victus00 [196]

Answer:

36-b  ^ { 2  }  -c  ^ { 2  }  +2bc\\36-\left(b^{2}+c^{2}-2bc\right) \\6^{2}-\left(b-c\right)^{2} \\\boxed{\left(6-b+c\right)\left(6+b-c\right) }

Hope it helps ⚜

7 0
2 years ago
PLS help I will give brainliest​
Savatey [412]

Answer: 1= X = 8

              2= X = 6

              3= X = 7

              4=  X= 9/13 or X= 0.692307

Step-by-step explanation: hope this helps pls mark me brainliest

6 0
2 years ago
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