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BigorU [14]
3 years ago
12

I need your help person scrolling! For all values of x, which expression is equivalent to 2x + 5 − x + 3x + x − 2?

Mathematics
2 answers:
daser333 [38]3 years ago
7 0
C) 5x + 3
Adding like terms
Andrew [12]3 years ago
7 0

Answer:

C) 5x+3

Step-by-step explanation:

2x+5-x+3x+x-2

2x-x+3x+x+5-2

x+3x+x+3

4x+x+3

5x+3

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The life times of light bulbs produced by a particular manufacturer have a mean of 1,200 hours and a standard deviation of 400 h
Nezavi [6.7K]

Answer:

a. 1200hours

b.  σ² = 400² =160000hour

c. standard error = 133.33

d. for 9 lightbulb it is likely that 9*0.146 = 1.31 bulbs will have lives of fewer than 1,050 hours?

Step-by-step explanation:

mean of 1,200 hours

σ, a standard deviation of 400 hours.

Sample size, N =  nine bulbs,

a) mean of the sample mean lifetime: is given as 1,200 hours

b) variance of the sample mean is the square of the  σ, a standard deviation of 400 hours.

σ² = 400² =160000hours

c) What is the standard error of the sample mean?

The standard deviation of a sampling distribution of mean values is called the standard error of the means,

standard error of the means,  σx = σ √N

The formula for the standard error of the means is true for all values infinite number of sample, N.

σx = σ √N

     =400  √9 = 400/3 =133.3333

d) the probability that, on average, those nine lightbulbs have lives of fewer than 1,050 hours

The area under part of a normal probability curve is  directly proportional to probability and the value is calculated as

z = ( x₁−x) /σ

where z = propability of normal curve

x₁ = variate mean = 1050hours

x = mean of 1200hours

σ = standard deviation = 400

applying the formula,

z= (1050-1200)/400

z = 150/400 =0.375

Using a table of partial areas beneath the standardized normal curve (see Table of normal curve, a z-value of 0.375 corresponds to an area of 0.1460 between the mean value.

Thus the probability of a lightbulbs having lives of fewer than 1,050 hours is 0.1460.

for 9 lightbulb it is likely that 9*0.146 i.e. 1.31 bulbs will have lives of fewer than 1,050 hours?  

8 0
3 years ago
Drag and drop an answer to each box to correctly complete the explanation for deriving the formula for the volume of a sphere
denis-greek [22]

The answers that would fill in the blanks are

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  • a circle
  • an annulus
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<h3>What is the Cavalier's principle?</h3>

This principle states that if two solids are of equal altitude then the sections that the planes would make would have to be parallel and also be at the same distances from their bases which are equal such that the volumes of the solids would be equal.

Now we have to fill in the blanks with the solution.

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius r and height<u> 2r</u> minus the volume of two cones, each with a radius and height of r. A cross section of the sphere is a <u>circle</u> base of cylinder, is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is an <u>annulus_ </u>.The volume of the cylinder with radius r and height 2r is 2πr³, and the volume of each cone with radius r and height r is 1/3πr³. So the volume of the cylinder minus the two cones is 4/3πr³. Therefore, the volume of the sphere is by Cavalieri's principle

Read more on Cavalieri's principle here

brainly.com/question/22431955

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5 0
9 months ago
Icy River increased the price of a ​$1.15 cola by 15​%. Find the increase in price and the new price. round to the nearest cent
madam [21]
15%  x
100  1.15        X is your variable, your unknown number and 15% has to always be over 100 , Then you have to cross multiply and divide 100 because that is the only number basically you have to just multiply across and divide 100 to make it to the nearest cent you have to round the last two numbers after the decimal Representing money.. Hope this helps!!
5 0
3 years ago
A major fishing company does its fishing in a local lake. The first year of the
Allisa [31]
The answer to your question is 7,600 fish




5 0
3 years ago
A , B , C , D ?????????
3241004551 [841]

Answer:

C

Step-by-step explanation:

the question is asking for the difference between the two values, therfore, you should subtract the smaller value from the larger value

while A is technically the same equation, when finding a value, you want all the constants to be on 1 side of the equation while the variable is on the other side

5 0
2 years ago
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