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sergiy2304 [10]
3 years ago
5

Find two consecutive numbers that 144 lies between

Mathematics
1 answer:
frutty [35]3 years ago
5 0

Answer:

143, 145

Step-by-step explanation:

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Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not
Igoryamba

Answer:

Step-by-step explanation:

We would construct a confidence interval.

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Since the sample size is large and the population standard deviation is known, we would use the following formula and determine the z score from the normal distribution table.

Margin of error = z × σ/√n

Where

σ = population standard Deviation

n = number of samples

From the information given

x = 36.02 inches

σ = 0.1 inches

n = 40

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.005 = 0.995

The z score corresponding to the area on the z table is 2.58. Thus, confidence level of 99% is 2.58

Margin of error = 2.58 × 0.1/√40 = 0.041

Confidence interval = 36.02 ± 0.041

The lower end of the confidence interval is

36.02 - 0.041 = 35.979 inches

The upper end of the confidence interval is

36.02 - 0.041 = 36.061 inches

Since 36.061 > 36.05, then we would conclude that the machine needs an adjustment.

The formula used is

Confidence interval =

Sample mean ± z × σ/√n

7 0
3 years ago
Factor the Polynomial by solving x^2 + bx + c = 0.<br><br> m^2 - mv - 56v^2
marissa [1.9K]

Factor the Polynomial by solving x^2 + bx + c = 0.

m^2 - mv - 56v^2

Factor by grouping.

(m−8v)(m+7v).

x^2 + bx + c = 0

x=\frac{-a+\sqrt{a^{2-4c} } }{2} , x=\frac{-a-\sqrt{a^{2-4c} } }{2}

7 0
3 years ago
A fish tackle box is 13 inches long, 6inches wide, and 2 1/2 inches high. What is the volume of the tackle box
Vika [28.1K]
V=lwh
13in × 6in × 2.5in = 195 in³
6 0
3 years ago
Read 2 more answers
Consider the triangle.
BigorU [14]

Answer:

It's the second answer down : Angle B, A and C

Step-by-step explanation:

7 0
3 years ago
PLS HELP ASAP I NEED THIS
crimeas [40]

Answer:

D

Step-by-step explanation:

Firstly let's see definition of Rational numbers ,

<u>Rational</u><u> numbers</u><u> </u><u>:</u><u>-</u><u> </u>

  • The number in the form of p/ q where p and q are integers and q is not equal to zero is called a Rational number .

From the options , look at option D ,its

→ √400

→ √{20²}

→ 20

<h3>Hence option D is correct.</h3>
6 0
3 years ago
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