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makkiz [27]
3 years ago
7

Need help with this ASAP

Mathematics
1 answer:
Mariana [72]3 years ago
5 0

Answer:

Sequence: 13, 20, 27

Rule: Tn = 7n + 6

Step-by-step explanation:

The 3 other numbers that can form an arithmetic progression is 13, 20, 27...

The nth term of an arithmetic progression is expressed as;

Tn = a + (n-1)d

a is the first term = 13

n is the number of terms

d is the common difference = 20 - 13 = 27 - 20

d = 7

Substitute

Tn = 13 + (n-1)(7)

Tn = 13 + 7n - 7

Tn = 7n+13-7

Tn = 7n + 6

This gives the required rule

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A normal distribution has a mean of 15 and a standard deviation of 2. Find the value that corresponds to the 75th percentile. Ro
Sonbull [250]

Answer:

16.35

Step-by-step explanation:

Using an inverse normal distribution, we can calculate the z score given the percentile, which can then be used to find our value.

First, we can use an inverse normal distribution calculator to figure out that the z score given the 75th percentile is 0.674.

Next, we know that the z score is (observed value - mean) / standard deviation. We can plug our values in to get

\frac{x-15}{2} = z\\\frac{x-15}{2} = 0.674\\x-15 = 0.674 * 2\\x = 0.674 * 2 + 15\\x=  16.348

Rounding, we get x = 16.35 as our answer

5 0
3 years ago
Richard has four times as many marbles as john. if Richard have 18 to John they would have the same number. how many marbles has
ser-zykov [4K]

Answer:

The number of marbles Richard has 24 and John has 6.

Step-by-step explanation:

Richard has four times as many marbles as john.

If Richard have 18 to John they would have the same number.

Now, to find number of marbles each has.

Let the marbles of John be x.

And the marbles of Richard be 4x.

According to question:

4x=x+18.

<em>Subtracting both sides by x we get:</em>

3x=18.

<em>Dividing both sides by 3 we get:</em>

x=6.

<u><em>Marbles of John</em></u><em> = 6.</em>

<u><em>Marbles of Richard</em></u><em> = 4x=4\times 6=24</em>

Therefore, the number of marbles Richard has 24 and John has 6.

6 0
4 years ago
The height of a doorway is 8 yards. What is the height of the doorway in inches?
charle [14.2K]

Answer:

288

Step-by-step explanation:

multiply the length value by 36

4 0
3 years ago
Marla has a piece of fabric. She cuts off 8 inches and makes a bow for each of the dogs she grooms. Today she groomed 12 dogs. W
Stels [109]

Answer:

would it be that she cuted like 96 inches or 20 something like that

Step-by-step explanation:

5 0
4 years ago
Let f(x)=10x-10 find the value of (fof^-1)(-10)
tatiyna

Answer:

(f o  f^-1  (10))  =  10

Step-by-step explanation:

f ^ -1  =  (x + 10)/10

from solving  from  f(x) = 10x - 10

since  10x - 10  is a  one-to-one function  it has an inverse

so  f o  f^-1  (x)  =  x

(f o  f^-1  (10))  =  10

7 0
3 years ago
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