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Inessa05 [86]
3 years ago
11

On Monday, Elsbeth’s bank account balance was -$16.75. On Tuesday, she deposited a check for $5.72. On Thursday, she deposited $

16.75. What is her new balance?
-16.75 + (5.72 + 16.75)

Use the commutative property to get:

-16.75 + (16.75 + 5.72)

Use the associative property to get:

(-16.75 + 16.75) + 5.72
Mathematics
1 answer:
koban [17]3 years ago
4 0

Answer:

5.72

Step-by-step explanation:

(-16.75 + 16.75) = 0

0 + 5.72= 5.72

Therefore, the answer is 5.72

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Four more than -3 times a number is equal to 8 more than -4 times the same number
postnew [5]

Answer:

The equation is 4 + ( − 3 x ) = 8 + ( − 4 x ) and the answer is x=4

Explanation:

Let us call the number  

x

and write our condition as:

4 + ( − 3 x ) = 8 + ( − 4 x )

rearranging: 4 x − 3 x = 8 − 4

x = 4

6 0
3 years ago
What is the value of x?
Ratling [72]

Answer:

4x+7 = 5x-20                  

(reason: vertical angles are congruent; property used: distributive)

7 = 1x-20

1x = 7+20

1x = 27

x = 27

4 0
3 years ago
One half of a number increased by 3 is five less than two thirds of the number
MAVERICK [17]

Answer:

12 is thy number lol

Step-by-step explanation:

1/2x + 3 = 5 - 2/3x  

Subtract the 1/2x

You get 3 = 5 - 1/6x

Subtract the five.

-2 = -1/6x

Multiply by -6

x = 12

6 0
3 years ago
Read 2 more answers
A certain type of digital camera comes in either a 3-megapixel version or a 4 megapixel version. A camera store has received a s
Morgarella [4.7K]

Answer:

a) Hyper-geometric distribution

b1) P(X=2) = 0.424

b2) P(X>2) = 0.152

C1) Mean of X = 1.67

C2) Standard Deviation of X = 0.65

Step-by-step explanation:

b1) P(X = 2) = (5C2 * 7C2)/(12C4) = (10 * 21)/(495) = 210/495

P(X=2) = 0.424

b2) P(X>2) = 1 - P(X≤2) = 1 - [P(X=0) + P(X=1) + P(X=2)]

P(X=0) = (7C4)/(12C4) = 35/495 = 0.071

P(X=1) =  (5C1 * 7C3)/(12C4) = (5 * 35)/(495) = 175/495 = 0.354

P(X=2) = 0.424

P(X>2) = 1 - P(X≤2) = 1 - [0.424 + 0.071 + 0.354]

P(X>2) = 0.152

C1) Mean of X = nk/N

k = number of 3-megapixel cameras = 5

n = number of selected cameras = 4

N = Total number of cameras = 12

Mean of X = 5*4/12

Mean of X = 1.67

C2) Standard Deviation of X

Standard deviation of X=(nk/N*(1-k/N)*(N-n)/(N-1))1/2

Standard Deviation of X=(4*(5/20)*(1-5/12)*((12-4)/(12-1))^1/2 =0.65

Standard Deviation of X = 0.65

4 0
3 years ago
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