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serious [3.7K]
3 years ago
5

What is the rule for the number pattern below ?950,800,650,500,350

Mathematics
1 answer:
tekilochka [14]3 years ago
7 0
Subtracts 150 each time—


950-150=800 and 800-150=650 and so on and so forth. The number sequence only includes 5 numbers so there is no way to tell if there is a tougher solution.
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The mean number of hours per day spent watching television, according to a national survey, is 3.5 hours, with a standard deviat
aleksley [76]

Answer:

4.5 hour and 2 hour

Step-by-step explanation:

Given: The mean number of hours per day spent watching television, according to a national survey, is 3.5 hours, with a standard deviation of two hours.

To Find: If each time was increased by one hour, what would be the new mean and standard deviation.

Solution:

let the total numbers entries of hours in survey be   =   \text{N}

each entry in survey be  =  \text{x}_{i}

mean of survey is     =     \mu  =3.5 \text{hours}

standard deviation is  =   \sigma = 2 \text{hours}

if each entry in survey is increased by one hour then,

each new entry in survey  is =  \text{x}_{i}+1

the new mean is\mu_{new}  = \frac{\text{sum of all hours}}{total number of entries}

                                                \frac{\text{x}_{1} +1+\text{x}_{2}+1 +....+\text{x}_{N}+1 }{N}

                                                \frac{(\text{x}_{1} +\text{x}_{2} +....+\text{x}_{N})+\text{N}\times1 }{N}

                                                \frac{(\text{x}_{1} +\text{x}_{2} +....+\text{x}_{N})}{N}+\frac{\text{N}\times1 }{N}

                                             \mu_{new} = \mu + 1=4.5 \text{hours}

now,

standard deviation is      \sigma_{new}= \sqrt{\sum_{1}^{N}\frac{(\text{x}_{inew}-\mu_{new})^{2}}{N}}

                                   \text{x}_{inew}= \text{x}_{i}+1

                                   \mu_{new}=\mu+1        

putting values,

                                                \sqrt{\sum_{1}^{N}\frac{(\text{x}_{i}+1-\mu-1)^{2}}{N}}

                                                \sqrt{\sum_{1}^{N}\frac{(\text{x}_{i}-\mu)^{2}}{N}}= \sigma

                                 \sigma_{new}        =2

new mean and standard deviation are 4.5 and 2 \text{hours}

                                               

5 0
3 years ago
.55 of a box of chocolate are dark chocolate,0.3 are milk chocolate and the rest are white chocolate. There are 138 pieces more
lyudmila [28]

Answer: there were 345 pieces of chocolate in the box.

Step-by-step explanation:

Let x represent the number of pieces of chocolate there in the box.

0.55 of a box of chocolate are dark chocolate. This means that the number of dark chocolate in the box is 0.55x

0.3 are milk chocolate. This means that the number of milk chocolate in the box is 0.3x

The rest are white chocolate. This means that the number of white chocolate in the box is x(1 - 0.55 - 0.3) = 0.15x

There are 138 pieces more dark chocolate than white chocolate. This means that

0.55x - 0.15x = 138

0.4x = 138

x = 138/0.4

x = 345

3 0
4 years ago
How do you solve this?​
shutvik [7]

Answer: X=5

Step-by-step explanation:

-8=(X+11)/-2

* start by multiplying both sides by -2

16=X+11

*subtract 11 from both sides

5=X

5 0
3 years ago
If 40%of an amount is $24, calculate 100%
Andreas93 [3]
Hey!!

here is your answer >>>

Let's take the total amount as 'X'

Then,

(40/100)X = 24

2x /5 = 24

x = (24*5)/2

x = 12*5

x = 60!.

100% is 60

Hope my answer helps!
8 0
3 years ago
Choose the point-slope form of the equation of this line.​
igor_vitrenko [27]

Answer:

y= -5x +7

Step-by-step explanation:

We can see points on the graph:

  • (2, -3) and (3, -8)

The function in general form is:

  • y= mx+b

Let's find the slope and y-intercept as per identified points on the graph:

  • m= (y1-y1)/(x2-x1)
  • m= (-8+3)/(3-2)= -5

b= y- mx

  • b= - 3 -(-5)*2= -3 +10= 7

Based on the found values of m and b, the given line is:

  • y= -5x +7
4 0
3 years ago
Read 2 more answers
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