Answer:
x=-5
Step-by-step explanation:
1/2x^2+5x+25/2=0
Multiply each side by 2 to clear the fractions
2*(1/2x^2+5x+25/2)=0*2
Distribute
x^2+10x+25=0
What two numbers multiply together to give us 25 and add together to give us 10
5*5 = 25
5+5 =10
(x+5) (x+5) =0
Using the zero product property
x+5 =0 x+5 = 0
x+5-5= 0-5 x+5-5 =0-5
x=-5 x=-5
x=-5
Answer:
<u>α = 29°</u>
Step-by-step explanation:
<u>Given values</u>
- Opposite side = √15
- Adjacent side = 7
<u>Missing value</u>
<u>Solving</u> :
- tanα = √15/7
- α = tan⁻¹ (√15/7)
- α = 28.8107937
- <u>α = 29°</u> (closest value)
This is a problem of Binomial Probability.
Success Rate = p = 0.48
Sample Size = n = 55
Number of success = x = 22
We are to find

i.e. that probability that atleast 22 adults use the smartphone in meetings or class.
The probability can be calculated using the Binomial Calculators and it comes out to be 0.907.
This means there is
0.907 or 90.7% probability that there are atleast 22 adults among the 55 selected adults who use cell phones in meeting or class.
Answer:
<u>There are three measures of center (most used) for a data set:</u>
To find the probability you must multiply the probability of rolling doubles by itself 3 times.
to roll a double of any number you have to have the same number on a six-sided die that can be represented as 1/6 times 1/6 = 1/36 chance per roll

there is a 1 in 46656 chance in rolling doubles 3 times in a row.