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3 years ago

What is a good reasoner this help plz.

Mathematics

2 answers:

asambeis [7]3 years ago

7 0

Answer: I pushed the wrong button on my computer I apologize.

Step-by-step explanation: That's the best I got.

erik [133]3 years ago

4 0

Answer:

say that you meant to say "hope this is correct" but accidentally put that

Step-by-step explanation:

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Most college-bound students take either the SAT(Scholastic Assessment Test) or the ACT (which originally stood for American coll

Jlenok [28]

Answer:

Luis would need to have a SAT score of 574.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Nicole's z-score:

ACT scores have a mean of about 21 with a standard deviation of about 5, which means that $\mu = 21, \sigma = 5$

Nicole gets a score of 24, which means that $X = 24$ . Her z-score is:

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

$Z = \frac{24 - 21}{5}$

$Z = 0.6$

What score would Luis have to have on the SAT to have the same standardized score(z-score) as Nicole's standardized score on the ACT?

Luis would have to get a score with a z-score of 0.6, that is, X when Z = 0.6.

SAT scores have a mean of about 508 with a standard deviation of about 110, which means that $\mu = 508, \sigma = 110$ .

The score is:

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

$0.6 = \frac{X - 508}{110}$

$X - 508 = 0.6*110$

$X = 574$

Luis would need to have a SAT score of 574.

8 0

3 years ago

36° Diagram NOT accurately drawn Work out the size of angle y.

vovikov84 [41]

The angles in a isosceles triangle add up to 180 degrees.
so 180 degrees take away 36 degrees = 144 degrees.
base angles in a isoceles triangle are equal so 144 divided by 2 = 72 degrees.
so to find out y you do 360 - 72 = 288 degrees
therefore y = 288degrees

3 0

3 years ago

Read 2 more answers

The outer and inner triangles are both equilateral and the circle touches all three sides of the outer triangle. If the area of

Brrunno [24]

Answer:

The area of outer Δ = 40 cm²

Step-by-step explanation:

∵ Area of the small triangle = 10 cm²

If we join the center of the circle with the 3 vertices of the inner Δ

These 3 segments are the radii of the circle

Now the inner triangle has 3 isosceles Δ their sides are r , r and s1 with vertex angle 120° ⇒ (360° ÷ 3 = 120°)

Where r is the radius of the circle and s1 is the side of the inner triangle

By using cosine rule

(s1)² = r² + r² - 2r²cos120 = r² + r² - 2r² (-0.5) = r² + r² + r² = 3r²

∴ s1 = r√3

∵ The radius of the circle ⊥ to the side of the outer Δ because the side of the outer Δ is a tangent to the circle

If we join a vertex of the outer Δ with the center of the circle

We will have a right angle triangle of two legs r and half s2 with angle 60° (120° ÷ 2 )between them ⇒ s2 is the side of outer Δ

∴ tan 60° = 1/2 (s2) ÷ r ⇒ √3 = 1/2 (s2) ÷ r = (s2)/2r

∴ s2 = 2r√3

∴ s2 : s1 = 2r√3 ÷ r√3 = 2 : 1

∴ The side of the outer Δ is double the side of the inner Δ

By using similarity ratio

A2/A1 = (s2/s1)² ⇒ A2 and A1 are the areas of outer and inner triangles

∴ A2 : A1 = (2/1)² = 4/1

∴ A2 = 4 A1

∴ A2 = 4 × 10 = 40 cm²

5 0

3 years ago

3x2 + 2(x2 – 20) = 16 - 2x2

lana66690 [7]

3x(2) + 2(2x - 20) = 16 - 2x(2)

6x + 4x - 40 = 16 - 4x

10x - 40 = 16 - 4x

14x - 40 = 16

14x = 56

x = 4

Hope this helps! ;)

8 0

3 years ago

Please help i don’t understand this

avanturin [10]

Answer:

Step-by-step explanation:

The solution is in the attached file

3 0

2 years ago