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mr_godi [17]
3 years ago
6

5x-2y=15 2x+6y=-11 solve by substitution or equal values method

Mathematics
1 answer:
g100num [7]3 years ago
5 0

Answer:

Point form -

(2-\frac{5}{2})

Equation form -

x=2, y=-\frac{5}{2}

Step-by-step explanation:

if you have any questions feel free to ask

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9x10^2 is how many times as much as 3x10^-2
Nikolay [14]

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3 times

Step-by-step explanation:

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2 years ago
Tomato as a taste modifier. Miraculin—a protein naturally produced in a rare tropical fruit—can convert a sour taste into a swee
Minchanka [31]

Answer:

a) .033  b) .4678 c) 100

Step-by-step explanation:

Distribution of miraculin produced is normal. To answer question we need to find the z-score of 100g, 110g and 120g miraculin

General formula for z score is given by

z=\frac{X-M}{s} where

  • X is the miraculin produced (120,110,100)
  • M is the mean miraculin produced for a partucilar tomato plant, which is 105.3
  • s is the standard deviation of the sample, which is 8.0

a)

z-score for 120 g miraculin is \frac{120-105.3}{8} =1.8375 then

P(x > 120) = P(z>1.8375) = 0.033

b)

z-score for 110 g miraculin is \frac{110-105.3}{8} = 0.5875

  z-score for 100 g miraculin is \frac{100-105.3}{8} = -0,6625

P(100 < x < 110) = P(x>100) - P(x>110) =0.7462 - 0,2784 = 0.4678

c)

if P(x < a) = 0.25 then corresponding z score for a is -0.6745. From the above formula we can calculate a:

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8 0
4 years ago
Find x intercepts for x squared +4x-5=0
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5 0
3 years ago
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the original blueprint of a concrete patio has a scale of 2 inches=3 feet. victoria wants to make a new blueprint of the patio w
bixtya [17]

Answer:

Scale of the new blueprint: 2 inches = 2.5 feet (or 4 inches = 5 feet)

Width of the new blueprint: 14.4 inches

Step-by-step explanation:

To solve this problem we can use rules of three to find each of the questions: blueprint's new scale and new width.

To find the new scale, we can find the real length of the patio first:

2 inches -> 3 feet

14 inches -> X feet

2/14 = 3/X

X = 21 feet

Now we can use this value to create the new scale:

16.8 inches -> 21 feet

2 inches -> X feet

16.8/2 = 21/X

X = 2*21/16.8 = 2.5 feet

So the new scale is 2 inches = 2.5 feet, or 4 inches = 5 feet

Now, to find the new width of the blueprint, we can do the following rule of three:

14 inches of length -> 16.8 inches of length

12 inches of width -> X inches of width

14/12 = 16.8/X

X = 12*16.8/14 = 14.4 inches

3 0
3 years ago
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