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3 years ago

Mathematicians use "..." to mean that a pattern continues: it

Mathematics

1 answer:

Fofino [41]3 years ago

6 0

Answer:

Step-by-step explanation:

We khow that A is the sum of all odd numbers that are less than 100

So A= 1+3+5+...+99

We can calculate this sum without adding all this numbers one by one

A = the number of terms *( first term + last one ) over 2

To get the number of terms we substract the first term from the last term then we add one

We khow that odd numbers are wiritten this way : 2*n +1 where n is an integer

So 99= 2*49+1

1= 2*0+1

So the number of terms is : 49-0+1 =50

So A= 50*(1+99)/2 = 2500

Foloowing the same method we get :

B= (49-1+1)*(2+98)/2= 2450

A>B

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Theo has a cubic container. If the height of the container is 6 meters, what is the volume of the container

sattari [20]

Volume of a cube = l^3, where l is the side length (note that the length, width and height in a cube are equal)
Volume of cube = 6^3 = 216 m^3

8 0

3 years ago

The proportion of American births that result in a birth defect is approximately 1/33 according to the Centers for Disease Contr

max2010maxim [7]

Answer:

The appropriate probability model for X is a Binomial distribution,

X $\sim$ Bin (n = 5, p = 1/33).

Step-by-step explanation:

The random variable X can be defined as the number of American births resulting in a defect.

The proportion of American births that result in a birth defect is approximately p = 1/33.

A random sample of n = 5 American births are selected.

It is assumed that the births are independent, i.e. a birth can be defective or not is independent of the other births.

In this experiment the success is defined as a defective birth.

The random variable X satisfies all criteria of a Binomial distribution.

The criteria are:

Number of observations is constant
Independent trials
Each trial has only two outcomes: Success and Failure
Same probability of success for each trial

Thus, the appropriate probability model for X is a Binomial distribution, Bin (n = 5, p = 1/33).

7 0

3 years ago

Read 2 more answers

Why couldn’t you live without your tv 5 sentences!!!!

IRISSAK [1]

Answer:

because would die of boredom .and i wouldn't have Netflix or Hulu.and i would have nothing to look forward. to when i come home from school i would have to just go and do homework. and without TV you would not have a news channel so you wouldn't know things to are important to life.

Step-by-step explanation:

5 0

2 years ago

Shane worked 8 hours per day for 3 days. Andrew worked 6 hours per day for 4 days. If the normal working week is 36 hours, which

creativ13 [48]

Shane:
8 x 3 = 24 Because it is 8h per day for 3 days. Per is like times
24h out of 36 24/36 GCF is 12 divide to and bottom by 12
24 / 12 is 2 36 / 12 is 3 2/3 Shane worked for 2/3 of 36h
Percentage: 100% / 3 (because there is 3 parts)= 33.333333333333
33.33333333333 x 2 (because it is there is 2 parts needed) = 66.6666666666%
Shane has worked for 66.6666666666% of 36 hours

Andrew:
4 x 6 = 24
Hey did you realise, the 24 is exactly the same! So the fraction would still be 2/3 of 36, and so on, there percentage is still the same, it's still 66.6666666666%

Answer: Both of Andrew and Shane has worked for the exact same time, therefore they have the exact same percentage

4 0

2 years ago

Read 2 more answers

Write an expression for each verbal expression 1. the sum of one-third of a number and 27

Ostrovityanka [42]

Answer:

<h2>Below</h2>

Step-by-step explanation: Let the unknown no be x

$\frac{1}{3}\times x +27\\\\\frac{1}{3} x +27$