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DaniilM [7]
2 years ago
5

There are 14 red, 10 yellow, 5 green, and 3 purple candies in a bag. What is the probability that a candy chosen at random is no

t red?
Mathematics
1 answer:
ch4aika [34]2 years ago
8 0

Answer: 9/16

Work Shown:

14 red + 10 yellow + 5 green + 3 purple = 32 total

(32 total) - (14 red) = 18 that aren't red

18/32 = 9/16 is the probability of picking something that isn't red.

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By which rule are these triangles congruent?<br> A) AAS <br> B) ASA <br> C) SAS <br> D) SSS
Veronika [31]

Answer:

the answer is c)SAS

Step-by-step explanation:

as the sides are already given and and both angles will be equal as vertically opposite angles (VOA)are always equal.

3 0
3 years ago
If 4x^2-100=0 the roots of the equation are
Marrrta [24]

Your equation:                   4x² - 100           =  0

Factor the left side:      (2x + 10) · (2x - 10) = 0

This equation is true if either factor is zero.

-- One factor:                     2x + 10 = 0
  
Divide each side by 2:            x + 5 = 0
Subtract 5 from each side:      x      = -5 .


-- The other factor:               2x - 10  =  0

Divide each side by 2:            x + 5 = 0
Add  5  to each side:              x      =  5 .

8 0
3 years ago
When a wholesaler sold a product at $50 per unit, sales were 184 units per week. After a price increase of $5, however, the aver
nalin [4]

Answer:

$48 per unit

Step-by-step explanation:

Increasing the price by $5 reduces demand by 20 units, so the slope of the curve is -4 units per dollar. This lets us write a demand equation as ...

q = -4(p -50) +184

q = -4p + 384

q = 4(96 -p)

The revenue is the product of price and demand:

r = pq = 4p(96 -p)

This is the equation of a quadratic curve that opens downward and has zeros at p=0 and p=96. The vertex (maximum) will be halfway between the zeros, at ...

p = (0+96)/2 = 48

A price of $48 per unit will yield a maximum total revenue.

7 0
3 years ago
A city planner designs a park that is a quadrilateral with vertices at J(-3,1), K(1,3), L(5,-1), and M(-1,-3). There is an entra
Ksivusya [100]
The Quadrilateral is JKLM, 

let M_{JK}, M_{KL}, M_{LM}, M_{JM}, be the midpoints of JK, KL, LM and JM respectively.

---------------------------------------------------------------------------------------------------------

Given any 2 point P(m,n) and Q(k,l),<span>

the coordinates of the midpoint of the line segment PQ are given by the formula:

M_{PQ}=( \frac{m+k}{2} ,&#10;\frac{n+l}{2}), </span>

-------------------------------------------------------------------------------------------------

thus the coordinates of points M_{JK}, M_{KL}, M_{LM}, M_{JM},

are as follows:

M_{JK}= (\frac{-3+1}{2}, \frac{1+3}{2})=(-1,2), \\\\M_{KL}= (\frac{1+5}{2}, \frac{3-1}{2}=(3,1), \\\\M_{LM}= (\frac{5-1}{2}, \frac{-1-3}{2})=(2, -2),\\\\ M_{JM}= (\frac{-3-1}{2}, \frac{1-3}{2})=(-2,-1)


------------------------------------------------------------------------------------------------

The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:<span>

 |PQ|= \sqrt{ (a-c)^{2} + (b-d)^{2}&#10;}</span>

------------------------------------------------------------------------------------------------

thus the distances connecting the opposite entrances can be calculated as follows:


|M_{JK},M_{LM}|= \sqrt{ (-1-2)^{2} + (2-(-2))^{2} }= \sqrt{9+16}=5

|M_{KL}M_{JM}|= \sqrt{ (3-(-2))^{2} + (1-(-1))^{2}}= \sqrt{25+4}= \sqrt{29}=5.39


Thus the total distance of the paths joining the opposite entrances is 

5+5.39 units = 50 m + 53.9 m = 104 m (rounded to the nearest meter)


Answer: 104 m



8 0
3 years ago
Subtract. -8 - (- 2)
ddd [48]

Answer:

-6

Step-by-step explanation:

5 0
3 years ago
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