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Leto [7]
3 years ago
15

Factor the following polynomial completely 4x^2-100

Mathematics
1 answer:
Murrr4er [49]3 years ago
4 0

Answer:

4 [ ( x - 5) ( x + 5) ]

Step-by-step explanation:

4x²-100

4 (x²-25)

4 (x²-5²)

4 [( x - 5) ( x + 5)]

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If 28% of students in College are near-sighted, the probability that in a randomly chosen group of 20 College students, exactly
cluponka [151]

Answer: (D) 16%

Step-by-step explanation:

Binomial probability formula :-

P(x)=^nC_xp^x(1-p)^n-x, where n is the sample size , p is population proportion and P(x) is the probability of getting success in x trial.

Given : The proportion of students in College are near-sighted : p= 0.28

Sample size : n= 20

Then, the the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is given by :_

P(x=4)=^{20}C_4(0.28)^4(1-0.28)^{20-4}\\\\=\dfrac{20!}{4!16!}(0.28)^4(0.72)^{16}\\\\=0.155326604912\approx0.16\%

Hence, the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is closest to 16%.

7 0
3 years ago
Y = 1/3x + 2<br> y = -2/3 x + 5
Alecsey [184]

Answer:

3,3

Step-by-step explanation:

4 0
3 years ago
Need Help ASAP On This question! I'm completely clueless. Will Mark Brain
lianna [129]
ML would be 2.5 because M is the bisector, splitting those 2 sides into congruent sides.
5 0
3 years ago
Read 2 more answers
Please can someone please help me
antoniya [11.8K]

Answer:

544 cm²

Step-by-step explanation:

hello,

to find the tsa of a rectangular prism, you use:

tsa = 2 ( lw + lh + wh )

in this case, l = 16 cm, w = 6 cm and h = 8 cm.

knowing these informations, you can proceed with using the formula.

tsa = 2 [ ( 16*6) + ( 16*8 ) + ( 6*8) ]

= 2 [ 96 + 128 + 48 ]

= 2 ( 272 )

= 544 cm²

please try to understand how i worked this out, and do let me know if you have any questions.

have a great day! thank you!

5 0
2 years ago
Find the value of x. Then find the m∠S and m∠T
Sophie [7]

Answer:

1

Step-by-step explanation:

<h2>Given, y = b m x m</h2><h2>y' = -b m x (m+1)</h2><h2>At any point (x1,y1)</h2><h2 /><h2>Equation of tangent is given by </h2><h2>y - y1 </h2><h2>------- = -b m x1 -(m+1)</h2><h2>x - x1</h2><h2>Y intercept = - m</h2><h2>X intercept = (m-1) × 1</h2><h2> m </h2><h2>Area bounced = 1 (m - 1)×1</h2><h2> ---- ---------------------- x m</h2><h2> 2 m</h2><h2>For area to be constant, m = 1</h2>
4 0
3 years ago
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