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2 years ago

How can you write an inequality to describe a situation?

1 answer:

3 0

For example let’s use something simple.

1+1 < 3+6
Why is this?
Because 1 +1 = 2 and that is less than 3 + 6 which is 9. Next time, apply this to something harder you might learn. I hope this helped <3

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A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with σ=0.0

oksian1 [2.3K]

<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

$\overline{x}\pm z^* SE$ (1)

, where $\overline{x}$ = sample mean

z* = critical value.

SE = standard error

and $SE=\dfrac{\sigma}{\sqrt{n}}$ , $\sigma$ = population standard deviation.

n= sample size.

As per given , we have

$\overline{x}=74.021$

$\sigma=0.001$

n= 15

It is known that ring diameter is normally distributed.

$SE=\dfrac{0.001}{\sqrt{15}}=0.000258198889747\approx0.000258199$

By z-table ,

The critical value for 95% confidence = z*= 1.96

A 99% two-sided confidence interval on the true mean piston diameter :

$74.021\pm (2.576) (0.000258199)$ (using (1))

$74.021\pm 0.000665120624$

$74.021\pm 0.000665120624\\\\=(74.021- 0.000665120624,\ 74.021+ 0.000665120624)\\\\=(74.0203348794,\ 74.0216651206)\approx(74.020,\ 74.022)$ [Rounded to three decimal places]

∴ A 99% two-sided confidence interval on the true mean piston diameter = (74.020, 74.022)

By z-table ,

The critical value for 95% confidence = z*= 1.96

A 95% lower confidence bound on the true mean piston diameter:

$74.021- (1.96) (0.000258199)$ (using (1))

$74.021- 0.00050607004=74.02049393\approx74.020$ [Rounded to three decimal places]

∴ A 95% lower confidence bound on the true mean piston diameter= 74.020

7 0

2 years ago

The table below shows field goal statistics for three different kickers

FromTheMoon [43]

Answer:

<h2>From least to greatest: C, B and A</h2>

Step-by-step explanation:

To order each Kicker correctly, we have to find the success rate of each one, which is obtained by dividing and then multiplying by 100 to obtained the percentage:

$R=\frac{made}{attempted}$

<h3>Success rate of A:</h3>

$R_{A}=\frac{12}{14}.100=86\%$

<h3>Success rate of B:</h3>

$R_{B}=\frac{15}{18}.100=83\%$

<h3>Success rate of C:</h3>

$R_{C}=\frac{19}{24}.100=79\%$

So, comparing all three, from least to greatest we have:

C with 79%, then B with 83%, and A with 86%.

3 0

2 years ago

Read 2 more answers

Find the ratio and reduce to their lowest terms 9 months and 2 years

professor190 [17]

Answer:

2 years: 9 months

We know that, 1 year =12 months

2 years =2×12 months

=24 months

Given

2 years: 9 months

This can be written as

9months

24months

3months

8months

=8 months :3 months

Hence, 8 months: 3 months is the simplest form of 2 years :9 months

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Talia took the bus from her home to the bank and then walked back to her home along the same route. The bus traveled at an avera

Mekhanik [1.2K]

Answer: The bus traveled at an average speed of 40 km/h and she - 2385764. ... bus from her home to the bank and then walked back to her home along the same route. ... To determine the time, x, that it took Talia to walk home, she used the equation 40(0.9 – x) = 5x. 1 ... Therefore, it took Talia 0.8 hour to walk home or 48 minutes

Step-by-step explanation:

6 0

2 years ago

The greater of two numbers is one less than eight times the smaller . Their sum equals 98

Kitty [74]

B>a

b=8a-1

and we are told that 98=a+b so a=98-b, using this value for a in the equation above gives you:

b=8(98-b)-1

b=784-8b-1

b=783-8b

9b=783

b=87, and since a+b=98, a=11

so a and b are 11 and 87

3 0

2 years ago