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Vlad [161]
3 years ago
7

What is the exact distance from (_1, 4) to (6, _2)?

Mathematics
2 answers:
Maslowich3 years ago
4 0
D = sqrt((6 - (-1))^2 + (-2 - 4)^2) = sqrt(7^2 + (-6)^2) = sqrt(49 + 36) = sqrt(85) units.
MA_775_DIABLO [31]3 years ago
3 0
Square root 85 
I 
got 
it 
right
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a jewelry store is having a sale. A ring is now reduced to £840. This is a saving of 40% of the original price. Work out the ori
Helen [10]

£1400

A reduction of 40% means that £840 is 60% of the original price

Divide £840 by 60 to find 1% then multiply by 100 to find original price

original price = £840 × \frac{100}{60} = £1400


7 0
3 years ago
Read 2 more answers
Find the center and radius for the circle by the equations: x2 + y2 + 5x - y + 2 = 0.
lord [1]
X2+5x+y2-y=-2
X2+2*5x2+(5/2)^2-(5/2)^2+y2-2*y/2+(1/2)^2-(1/2)^2=-2
(x+5/2)^2+(y-1/2)^2-13/2=-2
(x+5/2)^2+(y-1/2)^2=9/2
So centre =(-5/2,1/2)
Radius=(9/2)^(1/2)
7 0
3 years ago
A + 12.5 = 20 <br> Solve the following equation and show work
makkiz [27]
A + 12.5 = 20
- 12.5 -12.5
———————
A = 7.5
The answer is 7.5
5 0
3 years ago
Read 2 more answers
It is estimated % of all adults in United States invest in stocks and that % of U.S. adults have investments in fixed income ins
katovenus [111]

Complete question :

It is estimated 28% of all adults in United States invest in stocks and that 85% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 26% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

Answer:

0.929 ; 0.306

Step-by-step explanation:

Using the information:

P(stock) = P(s) = 28% = 0.28

P(fixed income) = P(f) = 0.85

P(stock and fixed income) = p(SnF) = 26%

a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places.

P(F|S) = p(FnS) / p(s)

= 0.26 / 0.28

= 0.9285

= 0.929

(b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

P(s|f) = p(SnF) / p(f)

P(S|F) = 0.26 / 0.85 = 0.3058823

P(S¦F) = 0.306 (to 3 decimal places)

3 0
3 years ago
Jadyn prepares a bag of candy before a road trip. The bag contains individual pieces of Skittles, M&amp;Ms, Life Savers and Sour
kipiarov [429]

Given condition is- The bag contains individual pieces of Skittles, M&Ms, Life Savers and Sour Patch Kids.

Let the total number of candies in the bag be = x

Then, Skittles are \frac{1x}{2}

Candies left = x-\frac{x}{2} = \frac{x}{2}

M&Ms are = \frac{1x}{8}

Now remaining candies are= \frac{3x}{8}

Now Life savers are = \frac{9x}{32}

Now adding all these 3 candies

\frac{x}{2}+ \frac{x}{8}+\frac{9x}{32}

=\frac{29x}{32}

Now the remaining candies sour patch will be =

x-\frac{29x}{32} =\frac{3x}{32}

Hence, sour patch kids are \frac{3}{32}

3 0
3 years ago
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