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umka21 [38]
3 years ago
15

The zeros of the functions f(x) = 3x^2 - 3x - 6

Mathematics
1 answer:
Butoxors [25]3 years ago
7 0
The answer is: x = 2 ∨ x = -1
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Use the words "ten times" to compare the number of children who have a dog 36,580 with the number of children who have a rabbit
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The number of children who have dogs is ten times more than the number of children who have a rabbit.
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Simon, 35, works for a company which offers a 4% match to his 401(k) plan. He previously invested $25,000 into an IRA. What woul
Paha777 [63]

Answer: answer

Step-by-step explanation:

4 0
3 years ago
4 + 6x + 5 = 7x Could someone help me? Thanks :) And could you also show how u did it
matrenka [14]

Answer:

x=9

Step-by-step explanation:

combine like terms

4+6x+5=7x

4+5=9

9+6x=7x

to get 6x with 7x subtract 6x from both sides as its positive

6x-6x=0

7x-6x=x

9=x

x=9

4 0
3 years ago
Mark signed an appointment to receive internet service on his mobile phone for the service he pays a monthly fee plus a charge f
FinnZ [79.3K]

Answer:

<em>Mark used 6.43 megabytes of data.</em>

Step-by-step explanation:

The given equation is:   5.25+0.3m=7.18 , where m is amount of data used in megabyte.

For finding the amount of data Mark used, <u>we need to solve the above equation for m</u>.

First subtracting 5.25 from both sides, we will get.....

5.25+0.3m-5.25= 7.18-5.25\\ \\ 0.3m=1.93

Now, dividing both sides by 0.3 ...........

m=\frac{1.93}{0.3}=6.4333... \approx 6.43

<em>(Rounded to the nearest hundredth)</em>

Thus, Mark used 6.43 megabytes of data.

3 0
4 years ago
Select True or False from each pull-down menu, depending on whether the corresponding statement is true or false.
Schach [20]

Answer:

1) FALSE

2) FALSE

3) TRUE

4) TRUE

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part 1

The mean and standard deviation of a normally distributed random variable which has been standardized are one and zero, respectively.

The mean and the deviation for  the normal standard distribution are:

\mu=0, \sigma =1

So then that's FALSE.

Part 2

Using the standard normal curve, the z−score representing the 10th percentile is 1.28.

We are looking for a value a, that satisfy this:

P(X>a)=0.90   (a)

P(X   (b)  

We can find a z value that satisfy the condition with 0.10 of the area on the left and 0.90 of the area on the right it's z=-1.28. On this case P(Z<-1.28)=0.10 and P(Z>-1.28)=0.90

So that's FALSE.

Part 3

Let z1 be a z−score that is unknown but identifiable by position and area. If the symmetrical area between −z1 and +z1 is 0.9544, the value of z1 is 2.0

If we find this probability:

P(-2.0< Z

So on this case we can approximate to 0.9544. And that's TRUE.

Part 4

Using the standard normal curve, the z−score representing the 75th percentile is 0.67.

We are looking for a value a, that satisfy this:

P(X>a)=0.25   (a)

P(X   (b)  

We can find a z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.67. On this case P(Z<0.67)=0.75 and P(Z>0.67)=0.25

So that's TRUE.

3 0
4 years ago
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