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Andreyy89
3 years ago
11

Please help answer all of 4 and 6

Mathematics
1 answer:
saul85 [17]3 years ago
8 0

Answer:

The Points are too little for this many questions

Step-by-step explanation:

Make it like 25 Points then people will answer it

You might be interested in
Calculate the sum of the multiples of 4 from 0 to 1000
allochka39001 [22]

Answer:

sum is 125,500

sum in summation notation is \sum\limits_{n=0}^n a+nd= (2a+(n-1)d)n/2

Step-by-step explanation:

This problem can be solved using concept of arithmetic progression.

The sum of n term terms in arithmetic progression is given by

sum = (2a+(n-1)d)n/2

where

a is the first term

d is the common difference of arithmetic progression

_____________________________________________________

in the problem

series is multiple of 4 starting from 4 ending at 1000

so series will look like

series: 0,4,8,12,16..................1000

a is first term so

here a is 0

lets find d the common difference

common difference is given by nth term - (n-1)th term

lets take nth term as 8

so (n-1)th term = 4

Thus,

d = 8-4 = 4

d  can also be seen 4 intuitively as series is multiple of four.

_____________________________________________

let calculate value of n

we have last term as 1000

Nth term can be described

Nth term = 0+(n-1)d

1000 =   (n-1)4

=> 1000 = 4n -4

=> 1000 + 4= 4n

=> n = 1004/4 = 251

_____________________________________

now we have

n = 1000

a = 0

d = 4

so we can calculate sum of the series by using formula given above

sum = (2a+(n-1)d)n/2

       = (2*0 + (251-1)4)251/2

       = (250*4)251/2

     = 1000*251/2 = 500*251 = 125,500

Thus, sum is 125,500

sum in summation notation is \sum\limits_{n=0}^n a+nd= (2a+(n-1)d)n/2

3 0
3 years ago
The ticket to a ballet cost either $25 or $50. A total of 1,250 tickets , worth $50,000, were sold. If x represents the number o
Butoxors [25]

Let's assume

x represents the number of $25 tickets

y represents the number of $50 tickets

A total of 1,250 tickets

so, we get

x+y=1250

So, cost of $25 tickets is 25x

So, cost of $50 tickets is 50y

Total cost of tickets =(cost of $25 tickets)+(cost of $50 tickets)

Total cost of tickets =25x+50y

we are given

worth $50,000, were sold

so, we get equation as

25x+50y=50000

we get system of equations as

x+y=1250

25x+50y=50000..............Answer


3 0
3 years ago
Which of the following expressions is equal to 5 to the 6th power divided by 5 to the 5th power
Jobisdone [24]
Asey

remember
\frac{x^m}{x^n}=x^{m-n}
so

\frac{5^6}{5^5}=5^{6-5}=5^1=5

8 0
3 years ago
Read 2 more answers
Joshua has $500 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
spayn [35]

Answer: 12

Step-by-step explanation:

6 0
3 years ago
Steel rods are manufactured with a mean length of 29 centimeter (cm). Because of variability in the manufacturing process, the l
zavuch27 [327]

Solution :

Given data :

The mean length of the steel rod = 29 centimeter (cm)

The standard deviation of a normally distributed lengths of rods = 0.07 centimeter (cm)

a). We are required to find the proportion of rod that have a length of less than 28.9 centimeter (cm).

Therefore, P(x < 28.9) = P(z < (28.9-29) / 0.07)

                                    = P(z < -1.42)

                                   = 0.0778

b). Any rods which is shorter than 24.84 cm or longer than 25.16 cm that re discarded.

Therefore,

P (x < 24.84 or 25.16 < x) = P( -59.42 < z or -54.85)

                                         = 1.052

4 0
3 years ago
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