Answer:
The length of the field on the drawing is 55 cm.
Step-by-step explanation:
Given:
Mark made a scale drawing of a soccer field.
Using a scale of .5 cm=1 m.
The actual length of the field is 110 m.
Now, to find the length of the field on drawing.
Let the length of the field on drawing be 
As given 0.5 cm is equivalent to 1 m.
Thus,
is equivalent to 110 m.
Now, to get the length of the field on drawing by using cross multiplication method:

<em>By cross multiplying we get:</em>
⇒ 
⇒ 
Therefore, the length of the field on the drawing is 55 cm.
Answer: 12 friends.
Step-by-step explanation:
the data we have is:
Mei Su had 80 coins.
She gave the coins to her friends, in such a way that every friend got a different number of coins, then we have that:
The maximum number of friends that could have coins is when:
friend 1 got 1 coin
friend 2 got 2 coins
friend 3 got 3 coins
friend N got N coins
in such a way that:
(1 + 2 + 3 + ... + N) ≥ 79
I use 79 because "she gave most of the coins", not all.
We want to find the maximum possible N.
Then let's calculate:
1 + 2 + 3 + 4 + 5 = 15
15 + 6 + 7 + 8 + 9 + 10 = 55
now we are close, lets add by one number:
55 + 11 = 66
66 + 12 = 78
now, we can not add more because we will have a number larger than 80.
Then we have N = 12
This means that the maximum number of friends is 12.
Answer:0.8413
Step-by-step explanation:
Mean= 188, Std Dev. =20.8, Z=(x-mean)/Std Dev
P(X less than 167.2)= P(Z less than (167.2-188)/20.8)
=P(Z less than (-20.8/20.8))
=P(z less than -1)= P(Z less 1)
The value of 1 in the normal distribution table is 0.3413
So we add 0.5 to 0.3413 =0.8413
So, first off it would help if you could define the terms irrational number and integer. Well, an irrational number is basically any real number that can't be expressed as a ratio of integers. They also cannot be represented by terminating or continuing decimals. And an integer is pretty much any number that cannot be written as a fraction or decimal, such as -2, 13, 257. It is not 2 and 1/2, or 4.75. Those would not be integers. Do you think you can figure out the difference?
Answer:
Exponential equations
Step-by-step explanation: