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3 years ago

3/10 + -1 / 10 = 3 + 1/10 = 4/10 = 2/5 correct the error in finding the sum

1 answer:

3 0

First, its not 3+1/10 its 3/10+1/10, second its a negative 1/10 not positive, so 3/10+-1/10. Thats the same thing as 3/10-1/10, so the answer is 2/10

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A simple random sample was taken of 44 water bottles from a bottling plant’s warehouse. The dissolvedoxygen content (in mg/L) wa

AleksAgata [21]

Answer:

a) $9.14-2.33\frac{2}{\sqrt{44}}=8.44$

$9.14+2.33\frac{2}{\sqrt{44}}=9.84$

b) The 98% confidence interval would be given by (8.44;9.84)

For this case we can conclude that we have 98% of confidence that the true mean for the oxygen content is between 8.44 and 9.84 mg/L

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".

$\bar X=9.14$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=2$ represent the population standard deviation

n=44 represent the sample size

Part a

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

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

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=18-1=17$

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.01$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.01,0,1)".And we see that $z_{\alpha/2}=2.33$

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

$9.14-2.33\frac{2}{\sqrt{44}}=8.44$

$9.14+2.33\frac{2}{\sqrt{44}}=9.84$

Part b

The 98% confidence interval would be given by (8.44;9.84)

For this case we can conclude that we have 98% of confidence that the true mean for the oxygen content is between 8.44 and 9.84 mg/L

3 0

4 years ago

How do i solve this math question for my homework -1/4-7/9

lakkis [162]

Answer:

You have to convert the denominator. -37/36

Step-by-step explanation:

-1/4 - 7/9

-7/9(4)

-1/4 (9)

-9/39 -28/36

-37/36

3 0

3 years ago

30 PTS!!! ASAP!! WILL MARK BRAINLIEST!!! PLEASE HELP!!! ASAP!!!How many liters of a 40% sugar solution must be mixed with 30 lit

Nana76 [90]

Answer:

15 litters of suger must be mixed

5 0

3 years ago

Read 2 more answers

Garth buys snow tires from a dealer in Thunder Bay, ON. The tires cost $79.00 each. To make a profit, he must mark them up 40%.

Lilit [14]

79 dollars plus its 40% times 4 equals 442.4 that plus 12% equals 495.488 rounded up to 495 dollars and 49 cents

3 0

4 years ago

Parallel and perpendicular line (4,7);y3x+6

enyata [817]

Answer:

Parallel Line: y = 3x - 5

Perpendicular Line: y = -1/3x + 25/3

Step-by-step explanation:

The equation given is a linear equation in slope-intercept form, y = mx + b, where m = slope and b = y-intercept. With lines that are parallel to each other, they containt the same slope. So, to form an equation of a line that is parallel to the first equation, the slope = 3. Using the given point (4, 7), x = 4 and y = 7, we can use our slope-intercept form to solve for 'b':

7 = (3)(4) + b or 7 = 12 + b or b = -5

So, our equation for a parallel line would be: y = 3x - 5.

For perpendicular lines, the slope must be the opposite reciprocal of the slope from the first equation. So, if m = 3, than the slope of the perpendicular line must be - 1/3. Using the same point (4, 7) we can use our slope-intercept form to solve for 'b':

7 = (-1/3)(4) + b or 7 = -4/3 + b or b = 25/3

So, our equation for a perpendicular line would be: y = -1/3x + 25/3

8 0

3 years ago