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Alex73 [517]
2 years ago
10

If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue?​

Mathematics
1 answer:
Nataliya [291]2 years ago
8 0

Answer:

8 years old.  

Step-by-step explanation:

(41-6-11)/3 = 8 years old.  

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HELP!!! 15 points. picture below
vlada-n [284]

Step-by-step explanation:

\sin( \alpha )  =  \frac{ \sqrt{5} }{3}  \\  \alpha  = 48.19 \: degrees  \\   \cos( \alpha )  =  \frac{2}{3}

7 0
3 years ago
Read 2 more answers
From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 21.
zzz [600]

Answer: (20.86, 22.52)

Step-by-step explanation:

Formula to find the confidence interval for population mean :-

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}

, where \overline{x} = sample mean.

z*= critical z-value

n= sample size.

\sigma = Population standard deviation.

By considering the given question , we have

\overline{x}= 21.69

\sigma=3.23

n= 58

Using z-table, the critical z-value for 95% confidence = z* = 1.96

Then, 95% confidence interval for the amount of time spent on administrative issues will be :

21.69\pm (1.96)\dfrac{3.23}{\sqrt{58}}

=21.69\pm (1.96)\dfrac{1.7}{7.61577}

=21.69\pm (1.96)(0.223221)

\approx21.69\pm0.83

=(21.69-0.83,\ 21.69+0.83)=(20.86,\ 22.52)

Hence, the 95% confidence interval for the amount of time spent on administrative issues = (20.86, 22.52)

7 0
3 years ago
In a deck of cards you have 52 cards.
kotykmax [81]

Answer:

1) 1/2

2) 1/13

3)1/169

Step-by-step explanation:

not sure about the last one

correct me if i am wrong

5 0
3 years ago
examine the diagram to the right then use the information provided in the diagram to find the measures of angles x , y, z. For e
sergiy2304 [10]

Answer:

Step-by-step explanation:

The letters are virtually impossible to read. I'll do my best, but recognize it is why you are not getting answers. I take y to be next to the 100 degree angle and part of the triangle.

I take x to be to the left of y. It is equal to the 28o angle because of the tranversal properties.

Finally z is the exterior angle of the triangle and as such has properties of z = y + 28 where y and 28 are remote interior angles to the triangle.

so x = 28 because of the transversal cutting the two parallel lines. They are equal by remote exterior angles of parallel lines.

y = 180 - 100 - 28 = 52

Finally z = 52 + 28 = 80 degrees because x and y add to 80 degrees.

If the assumptions are incorrect, could I trouble you to repost the diagram or correct the errors I  have made.

4 0
3 years ago
A cylinder has height of 12 and a diameter of 10 find the volome
diamong [38]

Answer:

942.48

Step-by-step explanation:

V=πr^2h=π·5^2·12≈942.4778

8 0
2 years ago
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