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klio [65]
3 years ago
9

Find X and Y and show please show calculations

Mathematics
1 answer:
torisob [31]3 years ago
6 0

Answer:

Y = 90

X = 52

Step-by-step explanation:

Y is on a straight line. The sum of the angles on a straight line is 180.

The only other angle (that is marked) on this straight line, is a 90 degree one. So, <y + 90 = 180.

<y = 90.

Now <x + 38 = 90

so, x = 52

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The life in hours of a 75-watt light bulb is known to be normally distributed with standard deviation σ = 25 hours. A random sam
irina [24]

Answer: a) (1008.34,1019.658) b) (1009.24,1018.76)

Step-by-step explanation:

Since we have given that

n = 75

mean = 1014 hours

Standard deviation = 25 hours

At 95% two sided , z = 1.96

So, confidence interval would be

\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.96\dfrac{25}{\sqrt{75}}\\\\=1014\pm 5.658\\\\=(1014-5.658,1014+5.658)\\\\=(1008.34,1019.658)

(b) Construct a 95% lower confidence bound on the mean life.

z = 1.65

So, confidence interval would be

\bar{x}\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.65\times \dfrac{25}{\sqrt{75}}\\\\=1014\pm 4.76\\\\=(1014-4.76,1014+4.76)\\\\=(1009.24,1018.76)

Hence, a) (1008.34,1019.658) b) (1009.24,1018.76)

4 0
3 years ago
Hurt just hurry and answer please
Luden [163]

Answer:

84

Step-by-step explanation:

Solve:

6*7= 42

42*2.00=84

Hope this helps!

3 0
3 years ago
1. Which number sets does the number
Zina [86]

Answer:

natural numbers and integers

8 0
3 years ago
Need ASAP i will give 10 points
kondor19780726 [428]

Answer:

B) 1

Step-by-step explanation:

There are 8 pairs of data in the table but only 7 points plotted in the graph,

hence there must be 1 point that is missing from the graph.

It turns out that the missing point that was not plotted is (10, 2.5)

5 0
3 years ago
The cheapest available ticket for Super Bowl Ll on the secondary market costs
drek231 [11]

Answer:

He must work 52 days to pay for a single ticket.

Step-by-step explanation:

This question can be solved using proportions.

Per hour:

Joel earns $7.25 per hour, 20% of which is deducted for taxes. So without taxes, in each hour, he earns 100%-20% of 80% of this, so 0.8*7.25 = $5.8.

Per day:

He works 9 a.m. to 5 p.m. each day, so 8 hours a day.

For each hour, he earns $5.8.

So in a day, he makes 8*5.8 = $46.4

How many days he must work:

The ticket costs $2400.

He makes $46.4 a day.

So, to buy a ticket, he needs to work:

2400/46.4 = 51.7 days

Rounding up

He must work 52 days to pay for a single ticket.

7 0
3 years ago
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