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3 years ago

Please do these question and with explanations please

Mathematics

1 answer:

wlad13 [49]3 years ago

3 0

Answer:

Step-by-step explanation:

1 is C

2 is G

3 is A

4 is J

5 is D , 9 units

6 is exactly 10 units

sorry to get to the so late, send me a message if you want to see more about how to get the answers.. or if you have other math questions :)

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Find 2 numbers a and b whose sum is 4 and whose difference is -2

umka21 [38]

Answer:

a = 1, b = 3.

Step-by-step explanation:

a + b = 4

a - b = -2 Adding to eliminate b:

2a = 2

a = 1

So 1 + b = 4

giving b = 3.

7 0

4 years ago

Solve the triangle. a = 10, b = 23, C = 95°

gayaneshka [121]

C² = a² + b² - (2ab * cosC)
c² = 10² + 23² - (2 * 10 * 23 * cos95) 
c² = 100 + 529 - (460 * -.08715) 
c² = 629 - (-40.1) 
c² = 669.1 
c = 25.87 

(Sin C) / C = (Sin A) / A 
(Sin 95) / 25.87 = SinA / 10, Remember 0 < A < 85 
(10 * Sin95) / 25.87 = Sin A 
A = arcsin ((10 * sin95) / 25.87) 
A = 22.65º 

B = 180 - A - C 
B = 180 - 95 - 22.65 
B = 62.35º 

I hope this helps. Have a good day.

3 0

4 years ago

Required information An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiv

Natasha2012 [34]

Answer:

$652.6-2.01\frac{311.7}{\sqrt{50}}=563.997$

$652.6+2.01\frac{311.7}{\sqrt{50}}=741.203$

So on this case the 95% confidence interval would be given by (563.997;741.203)

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".

$\bar X=652.6$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=311.7 represent the sample standard deviation

n=50 represent the sample size

Soltuion to the problem

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

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

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

$df=n-1=50-1=49$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,49)".And we see that $t_{\alpha/2}=2.01$

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

$652.6-2.01\frac{311.7}{\sqrt{50}}=563.997$

$652.6+2.01\frac{311.7}{\sqrt{50}}=741.203$

So on this case the 95% confidence interval would be given by (563.997;741.203)

6 0

3 years ago

The ratio of the number of Sam's CDs to the number of Alice's CD's is 7 to 8. Sam has 84 CDS.

Alex

Answer:

180 CDs

Step-by-step explanation:

So if Sam has 84 CDs, and the ratio from Sam to Alice is 7:8, we can do 84/7=12 so each number is equal to 12. Then we add up 7 and 8 and get 15, so we do 15*12 and we get 180.

7 0

3 years ago

A lottery game has balls numbered 0 through 9. What is the probability of selecting an even

Elodia [21]

Answer:

I believe there is a 5/10 chance

Step-by-step explanation:

8 0

3 years ago

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