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jekas [21]
1 year ago
12

Solve for x in the equation x squared minus 14 x + 31 = 63.

Mathematics
2 answers:
Bumek [7]1 year ago
8 0

Answer: X = 2.28

Step-by-step explanation:

-31 from both sides (The positive 31 and 63)

=    14x = 32  then divide both sides by 14

14x divided by 14 is x and 32 divided by 14 is like 2.28

x=2.28

algol [13]1 year ago
3 0
X=16 14 times + 31=63
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Josiah works at an electronics store as a salesperson. Josiah earns a 2% commission on the total dollar amount of all phone sale
salantis [7]

Answer: the equations are

0.02x + 0.07y = 156

y = 300 + x

Step-by-step explanation:

Let x represent the total dollar amount of phone sales that she makes.

Let y represent the the total dollar amount of computer sales that she makes.

Josiah earns a 2% commission on the total dollar amount of all phone sales he makes, and earns a 7% commission on all computer sales. She earned a total of $156 in commission. This means that

0.02x + 0.07y = 156 - - - - - - - - - - -1

Josiah had $300 more in computer sales than in phone sales. This means that

y = 300 + x

4 0
2 years ago
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Which equation accurately represents this statement? Select three options.
atroni [7]

Complete question:

Which equation accurately represents this statement? Check all that apply.

Negative 3 less than 4.9 times a number, x, is the same as 12.8

A: -3-4.9x=12.8

B: 4.9x-(-3)=12.8

C: 3+4.9x=12.8

D: (4.9-3)x=12.8

E:  12.8=4.9x+3

Answer:

B: 4.9x-(-3)=12.8

C: 3+4.9x=12.8

E:  12.8=4.9x+3

Step-by-step explanation:

The word equation can be expressed mathematically as follows

negative 3  → -3

less than 4.9 times a number , x →  4.9 x - (-3)

is same as 12.8  → 4.9 x - (-3) = 12.8

The equation can be expressed as

4.9 x - (-3) = 12.8

when you open the bracket, you multiply  -3 time  - 1 . MInus times minus is equals to plus. so you get

4.9 x + 3 = 12.8

12.8 = 4.9x+3

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2 years ago
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Lilly and Alex went to a Mexican restaurant. Lilly paid $9 for 2 tacos and 3 enchiladas, and Alex paid $12.50 for 3 tacos and 4
Tema [17]
Let's call Tacos t and Enchiladas e. 
Lily paid $9 for 2t and 3e
Alex paid $12.50 for 3t and 4e.
Thus the equations would be. 
2t + 3e = 9.00
3t + 4e = 12.50
4 0
2 years ago
A normal distribution curve, where x = 70 and σ = 15, was created by a teacher using her students’ grades. What information abou
mash [69]

Answer:

The median and mode of the students grade is 70.

Most of the students scored between 40 and 100.

Step-by-step explanation:

From the provided information it can be seen that the mean of the distribution is, <em>μ</em> = 70 and the standard deviation is, <em>σ</em> = 15.

For a Normal distributed data the mean, median and mode are the same.

So, the median and mode of the students grade is 70.

The standard deviation of the data represents the spread of the observation, i.e. how dispersed the values are along the curve.

In statistics, the 68–95–99.7 rule, also recognized as the empirical rule, is a shortcut used to recall that 68.27%, 95.45% and 99.73% of the values of a Normally distributed data lie within one, two and three standard deviations of the mean, respectively.

P(\mu-\sigma  

P(\mu-2\sigma

P(\mu-3\sigma

Assuming that maximum marks of the exam is 100, it can be said that most of the students scored between 40 and 100.

3 0
2 years ago
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KIM [24]

Answer:

The probability of not rain during the entire festival is 0.19

Step-by-step explanation:

The Complement Rule states that the sum of the probabilities of an event and its complement must equal 1.

In this case we have the probability of raining of each day,  we need the probability of NOT raining.  

First day= 45% chance of rain, the complement is 55%

Second day 55% chance of rain, the complement is 45%

Third day a 10% chance of rain, the complement is 90%

Fourth day a 10% chance of rain, the complement is 90%

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To get the probability of NOT raining in the entire festival is the multiplication of all the complements.

P(not raining) = 0.55 x 0.45 x 0.90 x 0.90 x 0.95= 0.19

4 0
2 years ago
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