Answer:
Use the quadratic formula
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
5
2
−
4
1
+
8
=
0
5x^{2}-41x+8=0
5x2−41x+8=0
=
5
a={\color{#c92786}{5}}
a=5
=
−
4
1
b={\color{#e8710a}{-41}}
b=−41
=
8
c={\color{#129eaf}{8}}
c=8
=
−
(
−
4
1
)
±
(
−
4
1
)
2
−
4
⋅
5
⋅
8
√
2
⋅
5
2
Simplify
3
Separate the equations
4
Solve
Solution
=
8
=
1
5
Answer:
90.49
Step-by-step explanation:
the answer is 90.49, hope this helps!
Answer:
peter has $3.50
Step-by-step explanation:
3.50 times 2 is 7 plus 3 is 10
Probability is the likelihood or chance that an event will occur. The probability of P(AUB) is 1/2
<h3>Conditional probability</h3>
Probability is the likelihood or chance that an event will occur. Given the following parameters
If P(A) = 1/6
P(B) = 5/12
P(A\B) + P(B\A) = 7/10
Required
p(AUB)
Recall that:
P(A|B)=P(AnB)/P(B)
P(B|A) = P(BnA)/P(A)
P(AnB)/P(B) + P(BnA)/P(A) = 7/10
12/5P(AnB) + 6P(BnA) = 7/10
42/5P(BnA) = 7/10
6/5P(BnA) = 1/10
6P(BnA) = 1/2
P(BnA) = 1/12
<u>Determine P(AUB)</u>
P(AUB) = P(A) + P(B) - P(AnB)
P(AUB) = 1/6 + 5/12 - 1/12
P(AUB) = 1/6 + 4/12
P(AUB) = 2+4/12
P(AUB) = 1/2
Hence the probability of P(AUB) is 1/2
Learn more on probability here: brainly.com/question/24756209
The number that still remains under the radical when the expression is in its simplest form is 8.
<h3>What is a radical?</h3>
A radical refers to a root form. In this case, we can write this number as; 1,250^3/4.
If we try to simplify this in line with the laws of indicies, we have; 4√(1250)^3. If we simpify further, we obtain; (125)4√8.
Thus, the number that still remains under the radical when the expression is in its simplest form is 8.
Learn more about radical forms:brainly.com/question/3008670
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