Answer:
X=35°
Step-by-step explanation:
Opposite angles x=35°
Answer:
The number of expected people at the concert is 8,500 people
Step-by-step explanation:
In this question, we are asked to determine the expected number of people that will attend a concert if we are given the probabilities that it will rain and it will not rain.
We proceed as follows;
The probability that it will rain is 30% or 0:3
The probability that it will not rain would be 1 -0.3 = 0.7
Now, we proceed to calculate the number of people that will attend by multiplying the probabilities by the expected number of people when it rains and when it does not rain.
Mathematically this is;
Number of expected guests = (probability of not raining * number of expected guests when it does not rain) + (probability of raining * number of expected guests when it rains)
Let’s plug values;
Number of expected guests = (0.3 * 5,000) + (0.7 * 10,000) = 1,500 + 7,000 = 8,500 people
Answer:
Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms
Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728
Now,

So,

Therefore, number of terms is 6
Answer:
$71.40
Step-by-step explanation:
Turn the percentage 30 to a decimal, which is 0.3 then multiply it by 238 to get 71.4
Answer:
$0.25
Step-by-step explanation:
You can use systems of equations to solve this.
3a+2p = 1.25
5a+p = 1.5
Multiply the second equation by 2.
3a+2p = 1.25
10a+2p = 3
Subtract the bottom from the top
-7a= -1.75
Divide by -7
a= 0.25
Each apple is $0.25 (in this case, the peach also costs $0.25)