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soldi70 [24.7K]
3 years ago
7

Convert the quadratic equation y=−4(x−3)(2x+4) from factored form to standard form.

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
4 0

Answer:

y = -8x² + 8x + 48

Step-by-step explanation:

y= −4(x−3)(2x+4)

y = -8x² + 8x + 48

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in a random sample of 28 people, the mean commute time to work was 31.2 minutes and the standard deviation was 7.3 minutes. assu
antoniya [11.8K]

Answer:

The margin of error of u is of 3.8.

The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 28 - 1 = 27

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.7707

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.7707\frac{7.3}{\sqrt{28}} = 3.8

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error of u is of 3.8.

The lower end of the interval is the sample mean subtracted by M. So it is 31.2 - 3.8 = 27.4 minutes

The upper end of the interval is the sample mean added to M. So it is 31.2 + 3.8 = 35 minutes

The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.

3 0
3 years ago
A geometric sequence has a4 = 4 and a5 = 7. What is a1 ? Your answer​
svetlana [45]

Answer:

  • 4⁴/7³ or 256/343

Step-by-step explanation:

<u>Given GP with </u>

  • a₄ = 4
  • a₅ = 7
  • a₁ = ?

<u>Let the common difference is r, then</u>

  • a₅ = a₄r
  • a₁r³ = 4
  • a₁r⁴ = 7

<u>Solve for r and then a₁:</u>

  • 4r = 7 ⇒ r = 7/4
  • a₁(7/4)³ = 4
  • a₁ = 4*(4/7)³ = 4⁴/7³ = 256/343
5 0
3 years ago
Carter has 37 coins, all nickels and dimes in his piggy bank. The value of the coins is $3.10. How many dimes does Carter have?
Sergio039 [100]
Carter has 25 dimes. He has 12 nickels.
3 0
2 years ago
a park covers a total area of 644 acres there are 482 more acres of woods than grassy areas in the park how many acres are there
maw [93]

Answer:

woods are 81 acres, grass 563 acres

Step-by-step explanation:


3 0
3 years ago
Pieces of Mail. The number of pieces of mail
Zina [86]

Answer:

20.8%

Step-by-step explanation:

The number of the pieces of mail handled by the U.S postal service decreased from 212,000,000,000 to 168,000,000

Therefore the percentage decrease can be calculated as follows

= 212,000,000,000-168,000,000,000

= 44,000,000,000/212,000,000,000 × 100

= 0.2075 × 100

= 20.8 %

Hence the percentage decrease is 20.8%

5 0
2 years ago
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