1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mariulka [41]
3 years ago
12

Select the correct answer. Solve the following equation by completing the square.

Mathematics
1 answer:
Kisachek [45]3 years ago
5 0

Answer:

A project?

Step-by-step explanation:

You might be interested in
Miguel has a points card for a movie theater. He receives 50 rewards points just for signing up. He earns 11.5 points for each v
MrRa [10]

Answer:

50 + 11.5x = 188

Step-by-step explanation:

4 0
1 year ago
The owner of Matt’s Gas Station wants to study gasoline purchases of customers at his station. In 2017, the mean amount of gas
gulaghasi [49]

Answer:

Step-by-step explanation:

a) We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 9

For the alternative hypothesis,

µ ≠ 9

This is a 2 tailed test

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 9

x = 9.9

σ = 2.5

n = 50

z = (9.9 - 9)/(2.5/√50) = 2.55

Looking at the normal distribution table, the probability corresponding to the area above the z score is 1 - 0.99461 = 0.00539

Recall, population mean is 9

The difference between sample sample mean and population mean is 9.9 - 9 = 0.9

Since the curve is symmetrical and it is a two tailed test, the x value for the left tail is 9 - 0.9 = 8.1

the x value for the right tail is 9 + 0.9 = 9.9

These means are higher and lower than the null mean. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area. We already got the area above the z score as z = 0.00539

We would double this area to include the area in the left tail of z = - 2.55. Thus

p = 0.00539 × 2 = 0.01078

Since alpha, 0.01 < 0.01078, we would reject the null hypothesis

But we are told to use the critical value approach, then

Since α = 0.01, the critical value is determined from the normal distribution table.

For the left, α/2 = 0.01/2 = 0.005

The z score for an area to the left of 0.005 is - 2.575

For the right, α/2 = 1 - 0.005 = 0.995

The z score for an area to the right of 0.995 is 2.575

In order to reject the null hypothesis, the test statistic must be smaller than - 2.575 or greater than 2.575

Since - 2.55 > - 2.575 and 2.55 < 2.575, we would reject the null hypothesis. This corresponds to our previous decision.

b) we would assume normal distribution because the sample size is sufficiently large and the population standard deviation is known.

c) Confidence interval is written in the form,

(Sample mean ± margin of error)

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

The z score for confidence level of 99% is 2.58

Margin of error = 2.58 × 2.5/√50 = 0.91

Confidence interval = 9.9 ± 0.91

The lower end of the confidence interval is

9.9 - 0.91 = 8.99

Therefore, p = 9 will be contained in the interval.

4 0
3 years ago
You recently invested $400,000 of your savings in a security issued by a large company. The security agreement pays you 12% per
ANTONII [103]

Answer:

$722444.49386776

Step-by-step explanation:

Use Compound Intrest Formula

a = p(1 +  \frac{r}{n} ) {}^{nt}

  • where p is the original amount.
  • R is the amount of percentage compounded
  • N is amount of times compounded per year.
  • T is how long the interest last.

P is 400,00p

T is 12% or 0.12

N is 4 since it is compounded quarterly

T is 5.

Plug the values in

400000(1 +  \frac{0.12}{4} ) {}^{20}

Ypu get

$722444.49386776

6 0
3 years ago
What 2 numbers add up to 17 and multiply to get -84?
kicyunya [14]
21 and -4, because -4x21 = -84, and 21+-4 (– 4) = 17
6 0
3 years ago
What are the soulutions to m^2-9=0
mihalych1998 [28]

Answer:

m= 3, -3

Step-by-step explanation:

Hope this helps!

4 0
3 years ago
Read 2 more answers
Other questions:
  • 32 • 3-5 = 3-3 = (1/3)3= 1/27
    6·2 answers
  • -(7c-18)-2c&gt;0 solve the inequality and please show your work
    10·1 answer
  • How many unit angles does the smaller angle of a tan pattern block turn through?
    10·2 answers
  • What's the standard form of 314,207
    8·1 answer
  • Answer the question
    15·2 answers
  • Every week Avionne gets an allowance of $6.00. Which of the following models illustrates this situation?
    12·1 answer
  • Find the value of x.<br> a.17<br> b.12<br> c.40<br> d.18<br> e.none are correct
    13·1 answer
  • I need help with this math problem
    11·1 answer
  • I NEED ANSWERS AND WORK ON THESE 4 PLEASEE!!!!
    13·2 answers
  • The area of cross section of the end A of a U tube is 0.01 m square. The area of cross section at the end B is 0.1 m square. If
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!