In ΔIJK, i = 340 cm, ∠I=120° and ∠J=59°. Find the area of ΔIJK, to the nearest 10th of a square centimeter.

At a Psychology final exam, the scores are normally distributed with a mean 73 points and a standard deviation of 10.6 points. T

USPshnik [31]

Answer:

The score that separates the lower 5% of the class from the rest of the class is 55.6.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

$\mu = 73, \sigma = 10.6$

Find the score that separates the lower 5% of the class from the rest of the class.

This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.

$Z = \frac{X - \mu}{\sigma}$

$-1.645 = \frac{X - 73}{10.6}$

$X - 73 = -1.645*10.6$

$X = 55.6$

The score that separates the lower 5% of the class from the rest of the class is 55.6.

3 0

1 year ago

Find the output, yyy, when the input, xxx, is 555. y = 5x-3y=5x−3

makkiz [27]

The output y is $y=22$

Explanation:

The expression is $y=5 x-3$

We need to determine the output y, when the value of input is x is 5.

That is, substituting $x=5$ in $y=5 x-3$ , we get,

$y=5(5)-3$

Multiplying the value within the bracket, we have,

$y=25-3$

Subtracting the terms, we get,

$y=22$

Thus, the value of output y is $y=22$

4 0

1 year ago

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Two hockey teams, the Winnipeg Jets (yay!) and the Toronto Maple Leafs (boo!), miraculously make it to

monitta

Answer:

There is a 54% chance that the Jets will win the Stanley Cup.

Step-by-step explanation:

Since two hockey teams, the Winnipeg Jets and the Toronto Maple Leafs, miraculously make it to the Stanley Cup finals, where as soon as a team wins 3 games, the championship is over, and the schedule for the playoffs for home games is: Jets - Leafs - Jets - Leafs - Jets; since if the Jets are playing at home, there is a 60% chance they'll win, while if they are playing on the road, there is a 45% chance they'll win, to find the probability that the Jets win the Stanley Cup the following calculation must be performed:

(0.60 + 0.45 + 0.60 + 0.45 + 0.60) / 5 = X

2.70 / 5 = X

0.54 = X

Thus, there is a 54% chance that the Jets will win the Stanley Cup.

7 0

1 year ago

Q.1 - Adam is ordering pizza for a company party that he needs to have catered. Company A charges $8 for each pizza and a delive

Tasya [4]

Answer:

4. A) $\displaystyle x + 4 ≥ 7$

3. A) $\displaystyle x + 650 ≥ 1500; x ≥ 850$

2. D) $\displaystyle 0,95(9) + 1,25b ≤ 25$

1. C) $\displaystyle 8x + 45 < 12x + 5$

Step-by-step explanation:

4. Two families combined have at least 3 pets.

3. $1500 is your result, so everything else is straightforward simple, knowing that the keywords at least $1500 mean greater than or equal to $1500.

2. Find the correspondents, then determine what inequality to use. In this case, you will use less than or equal to because overpaying is UNNECESSARY.

1. Eight dollars each pizza and twelve dollars each pizza is 12x and 8x. The rest is straightforward simple because you now have your initial costs of $45 and $5, and the exercise tells you that the total charge for Company A is less than the total charge for Company B, therefore you have your answer.

I am joyous to assist you anytime.

3 0

2 years ago

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Mary throws a plastic disc to her friend. Her friend catches the disc six seconds after Mary throws it. The table shows the heig

RUDIKE [14]

Answer:

A=4 B=3

Step-by-step explanation:

8 0

1 year ago

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