Answer:
Step-by-step explanation:
- log 2x + log (x - 5) = 2
- log (2x(x - 5)) = 2
- 2x(x - 5) = 10²
- 2(x² - 5x) = 100
- x² - 5x - 50 = 0
- x² + 5x - 10x - 50 = 0
- x(x + 5) - 10(x + 5) = 0
- (x - 10)(x + 5) = 0
- x = 10
- x = -5, this root is discounted as log should be positive.
Correct choice is 3.
x = perimeter
x<156
length = 66
so, in order to calculate perimeter you need to add two lengths and two widths
so
156 (perimeter) - 2 (66) = two widths
156 - 132 = 24 (remember this number is two widths added together)
so 24 twice the width SO 12 would be the number that the width can't be larger than
the width has to be less than 12
w < 12
Answer:
Expectation=240
standard deviation=3.098
Step-by-step explanation:
This is a binomial probability function with n=250 and probability of success is 96%
-The expected value is calculated as:

Hence, the expected germination is 240 seeds
b. From a above, we have the value of p=0.96 and n=250.
The standard deviation of germination is therefore calculated using the formula:

Hence, the standard deviation of germination is 3.098
Answer:
A triangle with two angles of the same size is an isosceles triangle. So two of its sides are going to have the same measure and the third different. The length of the sides will depend on the height of the measure of the given angles.
Step-by-step explanation:
Isosceles triangles can be classified into an isosceles right triangle, isosceles obtuse, isosceles acute depending on the measurements of its internal angles.
<u>Answer:</u>
The given statement is False statement
<u>Explanation:</u>
We are given that Jaime has blown out a number of candles equal to his age on each of his birthday till now and he is 9 years old now so the total number of candles blown by him all his life is given by the
arithmetic series
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 and
not the arithmetic series
0 + 1 + 2 + 3+ 4+ 5+ 6+ 7+ 9 as given
so the given statement is false.