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Effectus [21]
3 years ago
8

Match the answer to the question.

Mathematics
1 answer:
ElenaW [278]3 years ago
8 0

1. B= -3

2. X= -5

3. X= 6

4. X= 6

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If a data value in a normal distribution has a negative z-score, which of the following must be true?
mel-nik [20]
Correct Answer:
The data value must be less than the mean.

The formula for the z value is:

z-value = (Data value - Mean) / Standard Deviation

The z-value will be negative when the Numerator of the above expression will be negative. The numerator will be negative only when the Data Value is less than the mean value. For example, for a data value of 5 and mean value 8, the numerator will be -3, and when it will be divided by standard deviation, the resulting z value will be negative.

So, Third option is the correct answer. 
4 0
3 years ago
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Part of the proceeds from a garage sale was $470 worth of $10 and $20 bills. If there were 14 more $10 bills than $20 bills, fin
Brums [2.3K]

There are 25 $10 bills and 11 $20 bills.

Step-by-step explanation:

Given,

Worth of proceeds from garage = $470

Let,

x be the number of $10 bills

y be the number of $20 bills.

According to given situation;

10x+20y=470       Eqn 1

x = y+14                Eqn 2

Putting value of x from Eqn 2 in Eqn 1

10(y+14)+20y=470\\10y+140+20y=470\\30y=470-140\\30y=330

Dividing both sides by 30

\frac{30y}{30}=\frac{330}{30}\\y=11

Putting y=11 in Eqn 2

x=11+14\\x=25

There are 25 $10 bills and 11 $20 bills.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/1279756
  • brainly.com/question/1284310

#LearnwithBrainly

5 0
3 years ago
A clothing store is selling a shirt for a discounted price of $43.61. If the discount is 11%, what was the original price, in do
svet-max [94.6K]

Answer:

$49

Step-by-step explanation:

Given that the discounted price is $43.61 and this was at an 11% discount

hence the discounted price represents 100% - 11% = 89% of the original price.

if:

89% of original price = $43.61

1% of original price = $(43.61 / 89)

100% of original price = $(43.61 / 89) x 100 = $49

4 0
3 years ago
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If Alex has 4 times as many dimes as nickels and they have a combined value of 270 cents, how many of
bija089 [108]

Answer:

Nickel has 54 cents and Alex has 216 cents.

Step-by-step explanation:

Hope it helps u :)

5 0
3 years ago
Which ratio is equivalent to 12:20?<br>a) 3:5<br>b) 20:12<br>c) 3:10<br>d) 2:3​
disa [49]

Answer:

D

Step-by-step explanation:

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3 years ago
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