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Alinara [238K]
2 years ago
4

The expression -50x +100 represents the balance, in dollars, of a bank account after x months.

Mathematics
1 answer:
juin [17]2 years ago
6 0
The rate of change is -50. it's a negative slope
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The number of days (X) after mailout it takes a utility company to receive payment for a customer’s bill is a normal random vari
Monica [59]

Answer:

The latest 2.5% of bills will be received in 20 more days after mail-out.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 31 days

Standard Deviation, σ = 6 days

We are given that the distribution of The number of days (X) is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(X \leq x) = 0.025

We have to find the value of x such that the probability is 0.025

P(X \leq x) = 0.025

P( X \leq x) = P( z \leq \displaystyle\frac{x - 31}{6})=0.025  

Calculation the value from standard normal z table, we have,  

P( z \leq -1.960) = 0.025

\displaystyle\frac{x - 31}{6} = -1.960\\x = 19.24 \approx 20  

Hence, the latest 2.5% of bills will be received in 20 more days after mail-out.

4 0
2 years ago
Which equation has the solutions x = 5+/- 2 the squire root of 7 over 3
coldgirl [10]
If you look at the quadratic formula:

x=(-b±√(b^2-4ac))/(2a)

We can say that -b=5, b=-5

If I read it right you had ±2√7 which is equal to ±√28, and we know b=-5 so:

±√(25-4ac)=±√28

And since 3=2a, a=1.5 making the above:

±√(25-6c)=±√28

25-6c=28

-6c=3

c=-0.5

So a=1.5, b=-5, and c=-0.5 thus 

y=1.5x^2-5x-0.5

We can check this by reapplying the quadratic formula to the equation above

x=(5±√(25-4(1.5)(-0.5))/3

x=(5±√(25+3))/3

x=(5±√28)/3

x=(5±√(4*7))/3

x=(5±2√7)/3
5 0
2 years ago
Compute $14A6_{12} - 5B9_{12}$. Give your answer as a base $12$ integer.
avanturin [10]

Answer:

you need to 12 minus 5b9 as base and don’t forget to mention the integer

4 0
2 years ago
Maria is making paper flowers as decorations for the fall dance. She has made 40 flowers so far, and she is 16% finished. If she
alexandr1967 [171]

Answer:

the number of additional she needed is 135

Step-by-step explanation:

The computation is shown below:

GIven that

40 flowers of 16%

So for 100% it would be

= 40 ×100 ÷ 16

= 250

Now she needs to make is

= 70% - 16%

= 54%

Now the additional would be

= 250 × 54%

= 135

Hence, the number of additional she needed is 135

5 0
2 years ago
Which of the following groups has terms that can be used interchangeably with the others?1. Percentage, Probability, and Proport
Dafna1 [17]

Answer: 1) Percentage, Probability, Proportion

Step-by-step explanation:

In statistics,

▪Proportion means a fraction of the total.

▪Percentage means a number or a ratio, expressed as a fraction of 100. Here, the total is 100.

▪Probability which may look slightly different from the other two means a number between 0 and 1, showing the exact likelihood of an event happening. Which in context can mean, a number showing a fraction of an event happening out of the whole (0 to 1).

▪Critical value means a point in hypothesis testing on the test distribution that is compared to the test statistic to determine whether to reject the null hypothesis.

In the four definitions, the odd one out is Critical Value.

So the option without critical value in it is option 1) Percentage, Probability, Proportion since we can use the three interchangeable.

6 0
2 years ago
Read 2 more answers
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