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3 years ago

Solve using elimination method

Mathematics

1 answer:

irga5000 [103]3 years ago

6 0

X+y=8

2x²-y=-5 add them up so that to eliminate y
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2x²+x+oy=3 ===> 2x²+x=3

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ACT math scores for a particular year are approximately normally distributed with a mean of 28 and a standard deviation of 2.4.

Murrr4er [49]

Answer:

$a. \ \ \ P(X>30.4)=0.1587\\\\b. \ \ \ P(X$

Step-by-step explanation:

a. Given that the mean is 28 and the standard deviation is 2.4.

Let X be the score of our random selection.

-The z-score is calculated using the formula:

$z=\frac{\bar X-\mu}{\sigma}$

-The probability that the score is greater than 30.4 is calculated as:

$P(X>30.4)=P(z$

$P(X>)=P(z>\frac{\bar X-\mu}{\sigma})\\\\z=\frac{30.4-28}{2.4}=1.0\\\\\therefore P(z>1)=1-0.84134\\\\=0.1587$

Hence, the probability of a random score being greater than 30.4 is 0.1587

b. The probability that a randomly selected score is less than 32.8:

Mean=28, sd=2.4 and X=32.8

$P(X$

Hence, the probability that a random selection has a score less than 32.8 is 0.9773

c. The probability that a randomly selected score is between 25.6 and 32.8:

mean=28, sd=2.4 X=25.6, 32.8

$P(25.6$

Hence, the probability of the score being between 25.6 and 32.8 is 0.8186

3 0

3 years ago

Someone please help me with two answer choices

otez555 [7]

Answer:

It is the first and the last three.

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3 years ago

D) equilateral

maksim [4K]

Answer:

The length of side JK is 4.7 units.

Step-by-step explanation:

Given:

Δ JKL is an Isosceles Triangle.

JL = 5x - 0.2

KL = x + 3.2

JK = 4x - 1.3

To Find:

The length of side JK = ?

Solution:

Δ JKL is an Isosceles Triangle. ......Given

JK = KL .........................Given

Substituting the given values we get

$4x-1.3=x+3.2\\\\4x-x=3.2+1.3\\\\3x=4.5\\\\x=\frac{4.5}{3} \\\\x=1.5$

Now substituting 'x' in JK we get

$l(JK)=4(1.5)-1.3\\\\\therefore l(JK)=4.7\ units$

The length of side JK is 4.7 units.

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4 years ago

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timofeeve [1]

Answer:

A. -5

B. -10

C. 4

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In a plane if two line are perpendicular to the same line then they ___ to each other.

Kruka [31]

It’s either skew parallel

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