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OverLord2011 [107]
3 years ago
10

Solve. 4 x + 6 < − 6 Thankyou In advance :>

Mathematics
1 answer:
andrew-mc [135]3 years ago
6 0

Answer:

x < -3

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

  • 4x + 6 - 6 < -6 - 6
  • 4x < -12

Step 2: Divide both sides by 4.

  • \frac{4x}{4} < \frac{-12}{4}
  • x < -3

Therefore, the answer is x < -3.

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3/5 to second power times 25
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The answer is 9 because 3/5 to second power is 9/25 then you multiply it by 25 and you get 9
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2 years ago
An automobile company wants to determine the average amount of time it takes a machine to assemble a car. A sample of 40 times y
aksik [14]

Answer:

A 98% confidence interval for the mean assembly time is [21.34, 26.49] .

Step-by-step explanation:

We are given that a sample of 40 times yielded an average time of 23.92 minutes, with a sample standard deviation of 6.72 minutes.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                               P.Q. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average time = 23.92 minutes

             s = sample standard deviation = 6.72 minutes

             n = sample of times = 40

             \mu = population mean assembly time

<em> Here for constructing a 98% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation. </em>

<u>So, a 98% confidence interval for the population mean, </u>\mu<u> is; </u>

P(-2.426 < t_3_9 < 2.426) = 0.98  {As the critical value of z at 1%  level

                                               of significance are -2.426 & 2.426}  

P(-2.426 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 2.426) = 0.98

P( -2.426 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 2.426 \times {\frac{s}{\sqrt{n} } } ) = 0.98

P( \bar X-2.426 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+2.426 \times {\frac{s}{\sqrt{n} } } ) = 0.98

<u>98% confidence interval for</u> \mu = [ \bar X-2.426 \times {\frac{s}{\sqrt{n} } } , \bar X+2.426 \times {\frac{s}{\sqrt{n} } } ]

                                     = [ 23.92-2.426 \times {\frac{6.72}{\sqrt{40} } } , 23.92+2.426 \times {\frac{6.72}{\sqrt{40} } } ]  

                                    = [21.34, 26.49]

Therefore, a 98% confidence interval for the mean assembly time is [21.34, 26.49] .

7 0
2 years ago
Sara's telephone service costs $31 per month plus $0.25 for each local call. Long-distance calls are extra. Last month, Sara's b
serg [7]

Answer:

60 local calls

Step-by-step explanation:

Total price minus the long-distance charges: 54.35 - 8.35 = $46.00

46 minus the fixed per month cost: 46-31 = $15

15 divided by the cost of each local call: 15/0.25 = 60 calls

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What number must be added to complete the square? X^2-20x=17
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-117 must be added to complete the square.
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HELP!!! I need someone to answer this question quick
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the volume of the ball is 523.3. since the formula for the volume is 4/3*pi*r^3, the radius of ball is 5 in. Therefore, the diameter of the ball and the height of the box is 10.

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