F(x) is continuous for all x.
Pick a point and show that f(x) is either negative or positive. Pick another point and show that f(x) is negative, if positive, or positive, if negative.
At x = 30, f(30) - 1000 = 900 + 10sin(30) - 1000 ≤ 0
Now, show at another point f(x) - 1000 is positive, and hence, there would be root between 30 and such point.
Let's pick 40.
At x = 40, f(40) - 1000 = 1600 + 10sin(40) - 1000 ≥ 0
Since f(x) - 1000 is continuous, there lies a root between 30 and 40, and hence, 30 ≤ c ≤ 40
Answer:
1242 6th graders went on the trip.
Step-by-step explanation:
From the information given, you know that the theater has 2760 seats and that the students filled 45% of the seats, so to find the quantity of 6th graders that went on the trip, you have to calculate 45% of 2760:
2760*45%=1242
According to this, the answer is that 1242 6th graders went on the trip.
First let's write out the inequality before choosing a graph.
x apples each weighing 1/3 of a pound: 1/3x
y pounds of grapes: y
So...
1/3x + y < 5
The maximum weight is 4 pounds since the total weight of both the grapes and apples are less than 5.
In the y-axis, the first, third, and fourth graphs already exceed the capacity of 5 pounds.
So, by process of elimination, the correct graph for this problem is the second one.
Answer:
Probability cured of cervical cancer = 18C0 (0.30)⁰(0.70)¹⁸ + 18C1(0.30)(0.70)¹⁷
Step-by-step explanation:
Given:
Patients cured = 30% = 0.30
Number of patients (n) = 18
Probability cured of cervical cancer = P(X≤1)
Probability cured of cervical cancer = P(X=0) + P(X=1)
Probability cured of cervical cancer = 18C0 (0.30)⁰(0.70)¹⁸ + 18C1(0.30)(0.70)¹⁷
Answer:
6.1389 x 10^8
Step-by-step explanation:
