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Naddik [55]
4 years ago
12

Solve for x algebraically:

Mathematics
1 answer:
Masja [62]4 years ago
5 0
<span>THE GIVEN QUESTION; 7x -3(4x-8) < 6x +12 - 9x THE GIVEN INTERVAL OF X IS FROM [4,8] SO THE VALUE OF X ={4,5,6,7,8} THE GIVEN QUESTION CAN BE EVALUATED TO 7x - 12x+ 24 < 12 - 3x -5x + 24 < 12 - 3x //USING BODMAS RULE NOW SUBSTITUTING THE VALUE OF X: 1) X=4 SOL: 4<0 2) X=5 SOL: -1<-3 3) X=6 SOL: -6<-6 4) X=7 SOL: -11<-9 5) X=8 SOL: -16<-12 HENCE THE VALUE OF X=7,8 SATISFY THE GIVEN INEQUALITY</span>
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Suppose we take two different random samples from the same population of test scores. The population mean and standard deviation
denis23 [38]

Answer:

The correct option is (i) I expect the confidence interval based on the sample of 64 data values to be more precise.

Step-by-step explanation:

Consider the provided information.

The sample size is inversely proportional to the standard error of the sample mean decreases. \sigma_M=\frac{\sigma}{N}

As the size increase the standard error of the sample mean decreases.

Hence, for greater precision select the confidence interval based on the greater sample of data.

Therefore, we expect the confidence interval based on the sample of 64 data values to be more precise.

The correct option is (i) I expect the confidence interval based on the sample of 64 data values to be more precise.

6 0
3 years ago
Lia brought 21 shirts and plants. Her total was $357. Pants cost $25 each, and shirts cost $14.50 each. How many of each item di
g100num [7]

Answer:

x=5 and y=16

Step-by-step explanation:

x = number of pants

y = number of shirts

Set up equations:

  1. 25x + 14.5y = 357
  2. x + y = 21

Set the equations up as a system:

25x+14.5y=357

x+y=21

Steps:

Solve the system by substitution.

(You can also solve this system by elimination.)

<em>25x + 14.5y=  357</em>

<em>x + y = 21</em>

Step 1: Solve x+y=21 for x:

(x + y) − y = (21) − y(Subtract y from both sides)

x = −y + 21

Step 2: Substitute −y + 21 for x in 25x + 14.5y = 357:

25x + 14.5y = 357

25(−y + 21) + 14.5y = 357

−10.5y + 525 = 357 (Simplify both sides of the equation)

(−10.5y + 525) − 525 = (357) − 525(Subtract 525 to both sides)

−10.5y =  −168

−10.5y / −10.5 = −168 / −10.5 (Divide both sides by -10.5)

y = 16

Step 3: Substitute 16 for y in x = −y + 21:

x = −y + 21

x = −16 + 21

x = 5 (Simplify both sides of the equation)

Answer:

x=5 and y=16

7 0
3 years ago
△MNP ≅ △TUS. Use the picture below to solve for the following: x, y, and m∠N.
Katyanochek1 [597]

Answer:

x = 32

y = 51

m∠N = 14°

Step-by-step explanation:

Given:

ΔMNP ≅ ΔTUS

By the property of similarity,

MN ≅ TU, NP ≅ US and MP ≅ TS

m∠M = m∠T = 142°,

m∠N = m∠U = (2x - 50)°

m∠P = m∠S = 24°

Since, m∠N = [180°- (m∠M + m∠P)]

(2x - 50) = 180 - (142 + 24)

2x - 50 = 14

2x = 64 ⇒ x = 32

Since, NP = US,

2x - y = 13

2(32) - y = 13

64 - y = 13

y = 51

m∠N = 180° - (142 + 24)°

          = 14°

3 0
3 years ago
Need some help im not smart
zlopas [31]
Sure your smart Its just not your subject....School isn't my thing but you put me out into the woods and i could survive weeks with nothing...Lol just find your nitch and be proud of it

6 0
3 years ago
An adult blue whale can eat about 40 million Krill a day write this number in a scientific notation
BigorU [14]
4x10^7 The number of zeros the given number has would be the exponent
7 0
3 years ago
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