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2 years ago

1/4,1/12,1/36,1/108 Describe the pattern for the sequence. Then find the next three terms

Mathematics

1 answer:

lidiya [134]2 years ago

3 0

The number is multiplied by 3 every time

and next three terms are 1/324, 1/972 and 1/2916

good luck

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Suppose the coverage score on a national test is 500 with a standard deviation of 100. if each score is increased by 25, what ar

Trava [24]

The new man's age would be 525, however the standard deviation would remain the same.

<h3>What is standard deviation?</h3>

The Standard Deviation measures how evenly distributed numbers are. It has the sign (a Greek letter sigma) and the calculation is simple: it's the variance as a square root.

The average national test score is 500, for a standard deviation = 100.

Each score has been boosted by 25 points.

Let y = x + 25

where x is the old mean & y is the new score

E(x) = 500 and standard deviation (x) = 100 (given)

E(y) = E(x + 25)

= E(x) + 25

= 500 + 25

= 525

Variable (y) = Variable (x + 25)

= Variable (x)

As, √variance y = √variance x

standard deviation(y) = standard deviation(x)

= 100

Therefore, the new standard deviation is same as the old one.

To know more about standard deviation, here

brainly.com/question/26941429

#SPJ4

8 0

11 months ago

Total no of whole number of that have less than 1000 and divisble by 7

lbvjy [14]

Answer:

<em>There are 142 whole numbers less than 1000 and divisible by 7.</em>

Step-by-step explanation:

The multiples of 7 form an arithmetic sequence like shown:

7, 14, 21, ...

The last term of this sequence can be found by dividing 1000/7=142.9 and rounding down to the previous integer: 142*7= 994.

Thus, the sequence has:

a1=7, r=7, an=994. We need to find n and we'll do that by using the general term formula:

$a_n=a_1+(n-1).r$

And solving for n:

$\displaystyle n= \frac{a_n-a_1}{r}+1$

$\displaystyle n= \frac{994-7}{7}+1$

n = 142

There are 142 whole numbers less than 1000 and divisible by 7.

6 0

2 years ago

What is the slope of a line that is parallel to the line represented by the equation y = -2/5x + 4/5

Viefleur [7K]

The slope of <span>y = -2/5x + 4/5</span> is -2/5

7 0

2 years ago

Read 2 more answers

Carlita has 2 1/2 pounds of turkey, the cherries are 1/4 equal to the turkey, and the chocolate drips are .35 equal to the cherr

denis23 [38]

Answer: There are 3.5 ounces of chocolate drips that Carlita need.

Step-by-step explanation:

Since we have given that

Number of pounds of turkey = $2\dfrac{1}{2}=\dfrac{5}{2}$

Since the cherries are $\dfrac{1}{4}$ equal to the turkey.

So, it becomes,

Number of pounds of cherries is given by

$\dfrac{1}{4}\times \dfrac{5}{2}\\\\=\dfrac{5}{8}\\\\=0.625$

Since the chocolate drips are 0.35 equal to the cherries.

So, the number of pounds of chocolate drips is given by

$0.625\times 0.35\\\\=0.21875\ lb$

Since 1 pound = 16 ounces.

So, Number of ounces of chocolate drips would be

$0.21875\times 16\\\\=3.5\ ounces$

Hence, there are 3.5 ounces of chocolate drips that Carlita need.

8 0

2 years ago

If a child's knowledge of the alphabet is limited to the letters a, b, c, i, and e, and if the child writes two letters at rando

sweet [91]

A- 6/25 you can use A 4 times the other letters you can ether use 2 time or 1 time.

6 0

2 years ago

Read 2 more answers