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Alex
3 years ago
15

I'll give you 40 Points if you help me out with these math questions!!! #11th grade math..ughh

Mathematics
1 answer:
svet-max [94.6K]3 years ago
5 0

Answer:

<h3>23\sqrt[1]{2}</h3>

Step-by-step explanation:

Simplify.

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A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1200 hours and a standar
a_sh-v [17]

Answer:

The bulbs should be replaced each 1060.5 days.

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 1200, \sigma = 60

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?

This is the first percentile, that is, the value of X when Z has a pvalue of 0.01. So X when Z = -2.325.

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

-2.325 = \frac{X - 1200}{60}

X - 1200 = -2.325*60

X = 1060.5

The bulbs should be replaced each 1060.5 days.

4 0
3 years ago
Find the volume of the cone. Round your answer to the nearest tenth.
Alchen [17]

Answer:

The volume of the cone is 16.8 in cubed.

Step-by-step explanation:

The formula for a cone is πr^2 multiplied by h/3. The r is radius and h is height. So throwing in the values for the variables we get 16.8 in cubed.  

6 0
3 years ago
Drag a reason to each box to complete this proof.<br><br> If 12=13x+5 , then x = 21.
Ainat [17]
<span><span>I think the answers are:

Statement          Reason</span><span><span><span>  
<span>12=<span>13</span>x+5          </span></span>Given</span><span><span>  
<span>7=<span>13</span>x          </span></span>Subtraction Property of Equality</span><span><span> 
21 = x          </span>Multiplication Property of Equality</span><span><span> 
x = 21          </span><span>Symmetric Property of Equality 

By the way, I'm doing the same exam for Geometry as well. There's a lot of proof questions on there which I'm not good at doing for the reasoning part. If you finish the exam before I do, maybe you can message me what the answers are for some of the questions on there so I know if my answers for the questions are incorrect or not. 

Besides that, hope the answer above is correct for you. 

<em>~ ShadowXReaper069</em></span></span></span></span>
5 0
3 years ago
Read 2 more answers
A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. !e san
mina [271]
So if the sandwiches cost $7.75 each and the total was $113.50 that would mean that there were 14 sandwiches bought. So 14 times 7.75 is 108.50. 
3 0
3 years ago
Read 2 more answers
Which expression gives the same result as shown problem?
sineoko [7]
The first choice gives you the same result. The factor of 5 can be removed to the outside of the summation symbol.

5\sum\limits_{i=0}^{4}{\left(\dfrac{1}{3}\right)^{i}}
8 0
3 years ago
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