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emmainna [20.7K]
2 years ago
14

Solve for x !!!!!!!!

Mathematics
2 answers:
maw [93]2 years ago
5 0
The answer for the question is 4
xeze [42]2 years ago
4 0

Answer:

D) 4

Step-by-step explanation:

By remote interior angle property if a triangle, we have:

19x° + (18x - 4)° = 144°

(18x - 4 + 19x)° = 144°

(37x - 4)° = 144°

37x - 4 = 144

37x = 144 + 4

37x = 148

x = 148/37

x = 4

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katen-ka-za [31]

Answer:

3.7 and east.

Step-by-step explanation:

5 0
3 years ago
Researchers are interested in the effect of a certain nutrient on the growth rate of plant seeding. Use a hydroponics grow proce
Rashid [163]

Answer:

The 95% confidence interval for the mean would be given by (56.604;68.596)

The 99% confidence interval for the mean would be given by (53.196;72.004)

Step-by-step explanation:

1) Previous concepts

When we compute a confidence interval for the mean, we are interested on the parameter population mean, and we use the info from the sample to estimate this parameter.

2) Basic operations

The sample mean can be calculated with the following formula

\sum_{i=1}^n \frac{x_i}{n}

Using excel we can use this function to calculate the mean:

=AVERAGE(54.2,59.8,61.8,63.3,65.1,71.4)

The value obtained is \bar X=62.6

In order to find the sample deviation we can use this formula

s=\sqrt{\sum_{i=1}^n \frac{(x_i-\bar X)^2}{n-1}}

And using excel we can use this function to calculate the sample standard deviation:

=STDEV.S(54.2,59.8,61.8,63.3,65.1,71.4)

The value obtained is s=5.713

The sample size for this case is n=6, n<30 so then is better use the t distribution to calculate the margin of error. First we need to calculate the degrees of freedom, on this case df=n-1=6-1=5

The formula for the confidence interval would be given by:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

3) Part a

If we want a 95% or 0.95 of confidence, then the value for the signficance is \alpha=1-0.95=0.05, and \alpha/2=0.025, and 1-\frac{\alpha}{2}=0.975 so we can find the critical t value with the following formula in excel:

=T.INV(0.975,5)

And we got t_{\alpha/2}= 2.571

And we can replace into equation (1) and we got:

62.6 \pm 2.571\frac{5.713}{\sqrt{6}}

And using excel with the following formulas we got:

=62.6-2.571*(5.713/SQRT(6)) = 56.604

=62.6+2.571*(5.713/SQRT(6)) = 68.596

So the 95% confidence interval for the mean would be given by (56.604;68.596)

4) Part b

If we want a 99% or 0.99 of confidence, then the value for the signficance is \alpha=1-0.99=0.01, and \alpha/2=0.005, and 1-\frac{\alpha}{2}=0.995 so we can find the critical t value with the following formula in excel:

=T.INV(0.995,5)

And we got t_{\alpha/2}= 4.032

And we can replace into equation (1) and we got:

62.6 \pm 4.032\frac{5.713}{\sqrt{6}}

And using excel with the following formulas we got:

=62.6-4.032*(5.713/SQRT(6)) = 53.196

=62.6+4.032*(5.713/SQRT(6)) = 72.004

So the 99% confidence interval for the mean would be given by (53.196;72.004)

8 0
3 years ago
What is 2 times 3/4 please answer
nalin [4]
The answer is 1.5 or 1 1/2
5 0
3 years ago
Find the third side in simplest radical form:
ryzh [129]

Answer:

I'm pretty sure that this is the answer 41 square root

7 0
3 years ago
Which expression matches the situation?
ElenaW [278]

Answer:

The expression that matches the situation is 90.00 - 3x ⇒ 1st answer

Step-by-step explanation:

Let us solve the question

∵ You went to the mall with $90.00

→ That means the total money with you  = $90.00

∴ The total money = 90.00 dollars

∵ You bought three shirts that cost x dollars each

∴ The cost of a shirt = $x

∴ The number of shirts = 3

→ Find the total cost of the three shirts

∴ The cost of the shirts = 3 × x

∴ The cost of the shirts = 3x dollars

∵ The money left = the total money - the cost of the shirts

→ Substitute the value of total money and the cost of the shirts

∴ The amount of money left = 90.00 - 3x

∴ You have left with 90.00 - 3x dollars

∴ The expression matches the situation is 90.00 - 3x dollars

3 0
3 years ago
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