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scZoUnD [109]
3 years ago
10

Combine these radicals

Mathematics
2 answers:
Lady_Fox [76]3 years ago
8 0

Answer:

option B is correct

-54

Step-by-step explanation:

Using radical and exponent laws:

\sqrt[n]{a^n} = a

Given that:

-6\sqrt{100}+\sqrt{36}

we can write 100 and 36 as:

100 = 10 \cdot 10= 10^2

36 = 6^2

then;

-6\sqrt{10^2}+\sqrt{6^2}

Apply the rule;

-6\cdot 10+6

-60+6

Combines constant terms;

-54

Therefore, Combine the given radicals we get, -54

lozanna [386]3 years ago
3 0
-6√100+√36=-6(10)+6=-60+6=-54

Answer: B. -54
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Ethan has 3 pounds of mixed nuts. How many ounces of mixed nuts does Ethan have?
almond37 [142]
There are 16 ounces in a pound so all you have to do is multiply 16 and 3.
16*3=48
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3 years ago
There are 210210210 students in a twelfth grade high school class. 909090 of these students have at least one sister and 1051051
BlackZzzverrR [31]

Answer:

(1) The value of P (A) is 0.4286.

(2) The value of P (B) is 0.50.

(3) The value of P (A ∩ B) is 0.2143.

(4) The the value of P (B|A) is 0.50.

(5) The events <em>A</em> and <em>B</em> are independent.

Step-by-step explanation:

The events are defined as follows:

<em>A</em> = a student in the class has a sister

<em>B</em> = a student has a brother

The information provided is:

<em>N</em> = 210

n (A) = 90

n (B) = 105

n (A ∩ B) = 45

The probability of an event <em>E</em> is the ratio of the favorable number of outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

The conditional probability of an event <em>X</em> provided that another event <em>Y</em> has already occurred is:

P(X|Y)=\frac{P(A\cap Y)}{P(Y)}

If the events <em>X</em> and <em>Y</em> are independent then,

P(X|Y)=P(X)

(1)

Compute the probability of event <em>A</em> as follows:

P(A)=\frac{n(A)}{N}\\\\=\frac{90}{210}\\\\=0.4286

The value of P (A) is 0.4286.

(2)

Compute the probability of event <em>B</em> as follows:

P(B)=\frac{n(B)}{N}\\\\=\frac{105}{210}\\\\=0.50

The value of P (B) is 0.50.

(3)

Compute the probability of event <em>A</em> and <em>B</em> as follows:

P(A\cap B)=\frac{n(A\cap B)}{N}\\\\=\frac{45}{210}\\\\=0.2143

The value of P (A ∩ B) is 0.2143.

(4)

Compute the probability of <em>B</em> given <em>A</em> as follows:

P(B|A)=\frac{P(A\cap B)}{P(A)}\\\\=\frac{0.2143}{0.4286}\\\\=0.50

The the value of P (B|A) is 0.50.

(5)

The value of P (B|A) = 0.50 = P (B).

Thus, the events <em>A</em> and <em>B</em> are independent.

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Carol wants to make a quilt using a scale of 1.5 inches=2 feet. Her scale drawing is 7.5 inches by 10.5 inches. What is the area
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Answer:

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Step-by-step explanation:

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F(x) = x2 + 1<br> g(x) = 5 – x
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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get the percentage of loss for a half hour.

divide 1.5 and 7.5 by 3.

That gives a loss of 2.5% for every half hour.

Which gives a loss of 5% percent an hour.

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2 years ago
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