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Nady [450]
3 years ago
14

You are dealt one card from a 52-card deck. find the probability that you are not dealt: a heart.

Mathematics
1 answer:
Nadya [2.5K]3 years ago
5 0
3/4 or 75% chance you're not dealt a heart
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How much of a 14% solution of iodine should be added to 89 ounces of a 47% iodine solution to get a 29% solution
Andrews [41]
We have 89 ounces of 47% iodine.
We will add "x" ounces of 14% iodine to get a 29% iodine solution.
89 * .47 + .14x = .29 * (89 + x)
41.83 + .14x = 25.81 + .29x
16.02 = .15x
x = 106.80
So, we must add 106.80 ounces of 14% iodine to get a 29% iodine solution.
(for a total of 195.80 ounces)

Source:
http://www.1728.org/mixture.htm


3 0
3 years ago
Please help me ASAP!!!
Mama L [17]
9/20 

A percentage is the same as showing a number over 100 and if we multiply 20 by 5 we get 100.  So if we multiply 9 by 5 we get 45, giving us 45/100 which can be shown as 45%.

As a decimal, well if we say 100% equals 1.0, then 45% equals 0.45

7 0
3 years ago
F(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B7%7D%20-%5Csqrt%7Bx%5E2%2B2x-15%7D" id="TexFormula1" title="\sqrt{x+7} -\
elena-s [515]

Answer:

x >= -7  ................(1a)

x >= 3   ...............(2a1)

Step-by-step explanation:

f(x) =  \sqrt{x+7}-\sqrt{x^2+2x-15}  .............(0)

find the domain.

To find the (real) domain, we need to ensure that each term remains a real number.

which means the following conditions must be met

x+7 >= 0  .....................(1)

AND

x^2+2x-15 >= 0 ..........(2)

To satisfy (1),  x >= -7  .....................(1a) by transposition of (1)

To satisfy (2), we need first to find the roots of (2)

factor (2)

(x+5)(x-3) >= 0

This implis

(x+5) >= 0 AND (x-3) >= 0.....................(2a)

OR

(x+5) <= 0 AND (x-3) <= 0 ...................(2b)

(2a) is satisfied with x >= 3   ...............(2a1)

(2b) is satisfied with x <= -5 ................(2b1)

Combine the conditions (1a), (2a1), and (2b1),

x >= -7  ................(1a)

AND

(

x >= 3   ...............(2a1)

OR

x <= -5 ................(2b1)

)

which expands to

(1a) and (2a1)   OR  (1a) and (2b1)

( x >= -7 and x >= 3 )  OR ( x >= -7 and x <= -5 )

Simplifying, we have

x >= 3  OR ( -7 <= x <= -5 )

Referring to attached figure, the domain is indicated in dark (purple), the red-brown and white regions satisfiy only one of the two conditions.

3 0
3 years ago
Read 2 more answers
6. The total cost of materials to build the foam
Sophie [7]

Answer:

Cost of Material per square foot = $1.7

Step-by-step explanation:

Given:

Length = 24

Width = 12

Height = 6.5

Find:

Cost of Material per square foot

Computation:

TSA of pit = 2[bh + hl] + lb

TSA of pit = 2[(12)(6.5) + (24)(6.5)] + (24)(12)

TSA of pit = 2[78+156] + 288

TSA of pit = 756 square foot

Cost of Material per square foot = 1,285.20 / 756

Cost of Material per square foot = $1.7

4 0
3 years ago
7x2+3[81-(4x6)]<br> Simplify
4vir4ik [10]
P E M D A S

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5 0
3 years ago
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