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2 years ago

True or false concave polygon has all interior angles describe any angles less than 180 Degrees degrees??

Mathematics

1 answer:

Ugo [173]2 years ago

8 0

Answer:

true

Step-by-step explanation: In a concave polygon, each interior angle is less than 180°.

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Suppose a student's score on a standardize test to be a continuous random variable whose distribution follows the Normal curve.

blsea [12.9K]

Answer:

a) Percentage of students scored below 300 is 1.79%.

b) Score puts someone in the 90th percentile is 638.

Step-by-step explanation:

Given : Suppose a student's score on a standardize test to be a continuous random variable whose distribution follows the Normal curve.

(a) If the average test score is 510 with a standard deviation of 100 points.

To find : What percentage of students scored below 300 ?

Solution :

Mean $\mu=510$ ,

Standard deviation $\sigma=100$

Sample mean $x=300$

Percentage of students scored below 300 is given by,

$P(Z\leq \frac{x-\mu}{\sigma})\times 100$

$=P(Z\leq \frac{300-510}{100})\times 100$

$=P(Z\leq \frac{-210}{100})\times 100$

$=P(Z\leq-2.1)\times 100$

$=0.0179\times 100$

$=1.79\%$

Percentage of students scored below 300 is 1.79%.

(b) What score puts someone in the 90th percentile?

90th percentile is such that,

$P(x\leq t)=0.90$

Now, $P(\frac{x-\mu}{\sigma} < \frac{t-\mu}{\sigma})=0.90$

$P(Z< \frac{t-\mu}{\sigma})=0.90$

$\frac{t-\mu}{\sigma}=1.28$

$\frac{t-510}{100}=1.28$

$t-510=128$

$t=128+510$

$t=638$

Score puts someone in the 90th percentile is 638.

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3 years ago

When the automobile manufacturer releases a new model in its WOW series, it promises that drivers can expect to get mlleage that

bixtya [17]

Answer:

28.4 divided by 6.5

Step-by-step explanation:

8 0

2 years ago

Triangle ABC has been rotated 90° to create triangle DEF. Using the image below, prove that lines BC and EF have the opposite an

denis-greek [22]

The correct answer is acute.

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1 year ago

PLEASE ANSWERRRRRRRRR<br><br> Solve the system of equations.

goldfiish [28.3K]

Answer:

x=6 y=-3 (6,-3)

Step-by-step explanation

6 0

2 years ago

Through: (4, -3), perp. to y=-2x + 1

larisa86 [58]

Step-by-step explanation:

y = -2x + 1. => Slope = -2

Then the perpendicular line will have a slope of -1/(-2) = 0.5.

We have y = 0.5x + c.

When x = 4, y = -3.

=> (-3) = 0.5(4) + c, c = -5.

Hence the answer is y = 0.5x - 5. (C)

7 0

2 years ago