Answer:212.4
Step-by-step explanation:
Opposite/hypotenuse
Sin23=83/x
Multiply x to both sides to cancel out the x under 83
You get xsin23=83
Then divide sin23 to both sides
X=83/sin23
X=212.4
Think of the given
<span>f(x) = 2.8x - 12
g(x) = 5.8x + 9
as
</span><span>y = 2.8x - 12
y = 5.8x + 9
We want the value of x, not the value of y. So, subtract the 2nd equation from the first. Doing so will eliminate the variable y and leave you with one equation in the variable x. Solve for this x value.
</span><span>
y= 2.8x - 12
-y =-(5.8x + 9)
--------------------
0 = -3x - 21 What is the value of x?</span>
Answer:
Pr(all will survive in one year) = 0.35 to 2 decimal places
Pr(at least 8 will survive) = 0.39 to 2 decimal places.
Step-by-step explanation:
Probability of a tree surviving one year is 0.9. While not surviving probability is 1 - 0.9 = 0.1
This is obtained from the 90℅ surviving rate for one year planted by the landscaping firm.
Probability that if 10 trees are planted, all will survive for one year is:
0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9 = 0.9^10 = 0.349
Probability that at least 8 will survive in one year can be expressed as
8 survived x 2 not survived +(or) 9 survived x 1 not survived +(or) 10 survived
= [(0.9^8)x(0.1^2) + (0.9^9)x(0.1^1) + (0.9^10)] = 0.391
Step-by-step explanation:
Answer:
The number of child tickets sold was 75 and the number of adult tickets sold was 97
Step-by-step explanation:
<u><em>The correct question is</em></u>
At the movie theater child admission is $6.30 an adult admission is $9.60 on Wednesday 172 tickets were sold for a total sales of $1403.70 How many child tickets and adult tickets were sold that day?
Let
x ----> number of child tickets sold
y ----> number of adult tickets sold
we know that
----> equation A
-----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both lines
Using a graphing tool
The intersection point is (75,97)
see the attached figure
therefore
The number of child tickets sold was 75 and the number of adult tickets sold was 97
Answer:
It is not correct, the answer is 15
Step-by-step explanation:
They forgot the rule of PEMDAS, and accidentally subtracted before they multiplied. It should've gone
(25+3) - 7 x 3 + (2x4)
28-7x3+8
28-21+8
Since it's minus 21, that means it's negative, so -21+8=13
28-13=15