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Sonbull [250]
3 years ago
10

Explain how to solve 4x 2- 5x = 16 by completing the square. What are the solutions?

Mathematics
1 answer:
timurjin [86]3 years ago
6 0
Hope this 3pic will Help

Good Luck:)

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A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past
Minchanka [31]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the distance traveled by deluxe tire .

As per given , we have

Null hypothesis : H_0 : \mu \geq50000

Alternative hypothesis : H_a : \mu

Since H_a is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.

Test statistic : z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overline{x}= sample mean

\mu= Population mean

s=sample standard deviation

For n= 31,\ \sigma=8000,\ \overline{x}=46,800\ \&\ s=46,800, we have

z=\dfrac{46800-50000}{\dfrac{8000}{\sqrt{31}}}=-2.23

By using z-value table,

P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23)   [∵P(Z≤-z)=1-P(Z≤z)]

=1-0.9871=0.0129

 Decision : Since p value (0.0129) < significance level  (0.05), so we reject the null hypothesis .

[We reject the null hypothesis when p-value is less than the significance level .]

Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.

4 0
3 years ago
NEED ASAP<br> Identify the linear function graph.<br> A) <br> B) <br> C) <br> D)
Airida [17]
I think the answer is B.
5 0
3 years ago
Read 2 more answers
A.4 B.5 C.6 D.8<br> HELP PLEASE
soldier1979 [14.2K]

Answer:

  • A) The radius is 4 m

Step-by-step explanation:

Volume of cylinder formula:

  • V = πr²h

<h3>Given</h3>

  • V = 64π,
  • h = 4 m

Find r by substituting given values:

  • 64π = πr²*4
  • 64π = 4r²π
  • 16 = r²
  • r = √16
  • r = 4 m

Correct choice is A.

8 0
1 year ago
Read 2 more answers
The area of the trapezoid is 24 in.2.<br>True or false
Lorico [155]

Answer:

The answer is true

Step-by-step explanation:

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2

3 0
3 years ago
A 15 foot flagpole casts an 11 foot shadow. At the exact same time a 28 foot tree casts a shadow. Which proportion would correct
marishachu [46]
The longer an object, the longer the shadow they cast at a given time of the day and vice versa. This is called direct proportionality. At the same time,

If 15 foot flagpole ---- casts 11 foot shandow
    28 foot tree -------- casts ?? foot shadow

The proportion would therefore be:

Length of shadow cast by tree = (28/15)*11 = 20.533 foot.
8 0
3 years ago
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