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1 year ago

I have one more question before im done so please help and have a good day.

Mathematics

1 answer:

3241004551 [841]1 year ago

6 0

Answer:

See below

Step-by-step explanation:

<u>Solve the equation:</u>

6x² + 48x + 120 = 0
x² + 8x + 20 = 0
x² + 8x + 16 + 4 = 0
(x + 4)² + 4 = 0
(x + 4)² = - 4

The left side is positive and right side is negative so no solution

There is no intercession with the x-axis, the graph of the function is entirely above the x-axis.

It means the diver won't reach the bottom of the lake

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I need help with this I will mark you if right

kodGreya [7K]

I’m pretty sure it’s c

7 0

2 years ago

suppose the annual rate of inflation is about 4% this means that the cost of an item increases by about 4%. write and evaluate a

Mashcka [7]

Cost = (3,500) * (1.04)^years
Cost = (3,500) * (1.04)^4
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2 years ago

What two whole numbers is the quotient between?

Katarina [22]

Answer:

Choice D

Step-by-step explanation:

38/4 =9.5

Therefore, this number is between 9 and 10

Note:

38/4 = 9 remainder 2

Hence, the quotient is 9 which is a whole number

3 0

2 years ago

What is the perimeter of this figure? fractions

Alona [7]

Answer:

Step-by-step explanation:

You can add the numbers to get the perimeter

10 1/3 + 15 2/3 = 26

18 1/4 + 24 1/4= 42 1/2

26 + 42 1/2= 68 1/2

That is answer choice A

7 0

2 years ago

In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour

Lesechka [4]

Answer:

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=54$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=21$ represent the sample standard deviation

n=16 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

Now we have everything in order to replace into formula (1):

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

4 0

3 years ago