Answer:
6x^2-28x+16
Step-by-step explanation:
Answer:
There are 14 horses and 21 chickens.
Step-by-step explanation:
First, you have to make expression for horse and chicken. So we can let x be the number of horses and y will be the number of chickens. Next, given that the total number of feet for both animals is 98 so you have to make simultaneous equation :
(horse has 4 feet and chicken has 2 feet)
There are a total of 35 heads so the other equation will be :
Lastly, you have to solve it :
98
76
100
88
82
70
What is the range of their test scores?
A on paper and A on presentation 0.25
A on paper only 0.10
A on presentation only 0.30
Do not get an A on either 0.35
Answer the following questions: (1 point each, except the last item, 2 points)
a. What is the probability of getting an A on the paper?
b. What is the probability of getting an A on the presentation?
c. What is the probability of getting an A in the course?
d. Are the grades on the assignments independent? Explain your answer
Answer:
Step-by-step explanation:
Hello!
Given the events:
A: "obtain an A in the paper assigment" ⇒ P(A)= 0.10
B: "obtain A in the presentation assigment" ⇒ P(B)= 0.30
Ac: "do not get an A in the paper assigment" ⇒ P(Ac)= 1 - 0.10= 0.9
Bc: "do not get an A in the presentation assigment" ⇒ P(Bc)= 1 - 0.30= 0.7
P(A∩B)= 0.25
P(Ac∩Bc)= 0.35
a. P(A)= 0.10
b. P(B)= 0.30
c. To get an A in the course you have to get an A in the paper and an A in the presentation, symbolically: P(A∩B)= 0.25
d. If the events A and B are independent, then the ocurrence of one of them doesn't affect the probability of the other ocurring, if this is so then:
P(A)= P(A/B)
P(A) ≠ P(A/B) this means that "B" ocurring modifies the probability of ocurrence of A, i.e. both events are not independent.
I hope it helps!
f(x)=-2x^2-7x+6
Find f(−3)
Answer:
f(-3) = 9
Step-by-step explanation:
Step 1: Define
f(x) = -2x² - 7x + 6
f(-3) = x = -3
Step 2: Substitute and evaluate
f(-3) = -2(-3)² - 7(-3) + 6
f(-3) = -2(9) + 21 + 6
f(-3) = -18 + 21 + 6
f(-3) = 3 + 6
f(-3) = 9
Substituting x = -3 into the function f(x) = -2x^2 - 7x + 6, we get f(-3) = -33. Therefore, the value of the function at x = -3 is -33.
To evaluate the function f(x)=−2x ^2 −7x+6 at x=−3, substitute −3 for x in the function: f(−3)=−2{(−3) }^2 −7(−3)+6
Now, calculate each part of the expression:
(−3) ^2 is 9 because the square of −3 is 9.
−2 times 9 is −18 because −2⋅9 =−18.
−7 times −3 is 21 because −7⋅−3=21.
Now, plug these values back into the expression:
f(−3)=−18−21+6
Finally, add and subtract:
f(−3)=(−18−21)+6=−39+6=−33
So, f(−3)=−33.
The value of the function
f(x)=−2x^ 2 −7x+6 at x=−3 is −33.
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Answer:given by what?