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3 years ago

What is the measure of PSQ in degrees 9 24 45 54

Mathematics

2 answers:

leonid [27]3 years ago

8 0

Answer: C 45

Step-by-step explanation:

ss7ja [257]3 years ago

4 0

Answer:

$m\angle PSQ=45^o$

Step-by-step explanation:

we know that

$m\angle PSR=m\angle PSQ+m\angle QSR$ ---> by addition angle postulate

substitute the given values

$99^o=(3x+18)^o+(9x-27)^o$

solve for x

$99^o=(12x-9)^o$

$12x=99+9$

$12x=108$

$x=9$

Find the measure of angle PSQ

$m\angle PSQ=(3x+18)^o$

substitute the value of x

$m\angle PSQ=(3(9)+18)=45^o$

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3 years ago

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erma4kov [3.2K]

Answer:

a) $97.1\%$ b) $13.6\%$ $c) 772 \:calories$

Step-by-step explanation:

$\mu=1071,\:\sigma=301$

1) The 68-95-99.7 rule tells us how a distribution is divided. 99.7% of the distribution should fall within 3; 95%, 2 and 68%, 1 standard deviation from the mean.

As you can see in the graph.

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By the rule

We have the interval 68% is equal to the mean plus 1 standard deviation and minus one standard deviation.

$68\%=(\mu-2\sigma,\mu+2\sigma)=(1071-2(301), 1071+2(301)=(469,1672)$

But the question wants to know more than 469 calories, then $13.6\%+34\%+34\%+13.6\%+2.1\%=97.1\%\\$

b. What is the approximate percentage of Chipotle meals with calorie amounts between 1372 calories and 1673 calories?

Check the graph below

This percentage is the interval, which is a quarter of that 95%

$(\mu +\sigma,\mu+2\sigma)=(1372,1673)=\frac{95\%}{4}=13.6\%$

c.. If a particular meal's calorie amount is equal to the 16th percentile of Chipotle meal calorie amounts, how many calories are in the meal?

Since we're dealing with a Normal Curve, then to find the 16th percentile we need:

The Mean and Standard deviation
The Z score and then multiply by that Standard Deviation
Add this to the mean

. $Z\: score=-0.994\\\\(-0.994)*301=-299.194\\-299.194+\mu \Rightarrow -299.194+1071=771.806\approx772$

We have the location 772 = 16th percentile. Since this meal is equal to 16th percentile, then this meal has 772 calories.

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