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3 years ago

Diego lives 1/2 mile from school. Jonah lives 5% as far from school as Diego. How far, in miles, does diego live from school?

Mathematics

1 answer:

Elden [556K]3 years ago

7 0

Answer:

The answer is .25

Step-by-step explanation:

convert 1/2 to .5 the multiply .5 by .5 which gives you .25

hope this helps

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Show that 2x +1 is a factor of 2x3 +5x2+4x+1 and factories completely

larisa [96]

$\text{According to the factor theorem, if f(b) = 0, then x-b is a factor of f(x).}\\\\\text{Given that,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\f\left(-\dfrac 12 \right) = 2\left( - \dfrac 12 \right)^3 +5 \left( - \dfrac 12 \right)^2 +4 \left( - \dfrac 12 \right) +1 \\\\\\~~~~~~~~~~~~=-2 \cdot \dfrac 18 + 5 \cdot \dfrac 14 -2 +1 \\\\\\~~~~~~~~~~~=\dfrac 54 -\dfrac14 -1\\\\\\~~~~~~~~~~~=\dfrac 44 -1 \\\\\\~~~~~~~~~~~=1-1\\\\\\~~~~~~~~~~~=0\\\\\text{So,}~ 2x +1 ~ \text{is a factor of f(x).}$

$\text{Now,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\~~~~~~=2x^3+x^2 +2x^2 +2x +2x+1\\\\~~~~~~=x^2(2x+1) +2x(2x+1) + (2x+1)\\\\~~~~~~=(2x+1)(x^2 +2x +1)\\\\~~~~~~=(2x+1)(x+1)^2$

3 0

2 years ago

Suppose 40% of all college students have a computer at home and a sample of 64 is taken. What is the probability that more than

Art [367]

Answer:

0.13093

Step-by-step explanation:

Give. That :

Population mean = 40% = 0.4

Sample size (n) = 64

Probability that more than 30 have computer at home

Mean = np = 64 * 0.4 = 25.6

Standard deviation = sqrt(n*p*(1-p)) = 3.919

P(x > 30)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (30 - 25.6) / 3.919 = 1.1227353

p(Z < 1.122) = 0.13093 ( Z probability calculator)

6 0

3 years ago

Fran reads 54 pages per hour Darnell reads 60 pages per hour if they both read for 2.5 hours how many more pages will Darnell Re

spin [16.1K]

Hey You! Here's How To Solve This Question:

STEP 1:

60 × 2.5 = 150

STEP 2:

54 × 2.5 = 135

STEP 3:

150 - 135 = 15

So, Darnell read 15 more pages than Fran.

I Really Hope My Answer Helped You!

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3 years ago

WILL GIVE BRAINLIST

just olya [345]

Answer:

The Answer Is E, $6.75

Step-by-step explanation:

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3 years ago

What’s 39,204 divided by 54

ozzi

Answer:

726

Step-by-step explanation:

39204/54=726

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3 years ago