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Leona [35]
3 years ago
11

Are these ratios equivalent?

Mathematics
1 answer:
vaieri [72.5K]3 years ago
4 0

Answer:

Yes

Step-by-step explanation:

3 medium cars to 1 small car can be made into a fraction like this: \frac{3}{1} or \frac{1}{3}. But you must be consistent if the denominator represents medium cars or small cars.

For this, I'm just going to make medium cars the numerator.

18 medium cars to 6 cars can be made into a fraction like this : \frac{18}{6}.

When you divide both fractions in a calculator (or in your head), you will realize that they both are the same value (equivalent).

\frac{3}{1}=\frac{18}{6} = 3

\frac{1}{3} = \frac{6}{18} = .3333333

These ratios are equivalent.

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The triangle below is equilateral. Find the length of side 2 in simplest radical form
Masteriza [31]

Answer:

x=\frac{4\sqrt{3}}{3}

Step-by-step explanation:

From the figure attached,

ΔABC is an equilateral triangle.

Therefore, by the property of the equilateral triangle,

Measure of each angle = 60°

By applying tangent rule in the right triangle ADC,

\text{tan}(60^{\circ})=\frac{\text{Opposite side}}{\text{Adjacent side}}

\sqrt{3}=\frac{4}{x}

x=\frac{4}{\sqrt{3}}

x=\frac{4}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3} }

x=\frac{4\sqrt{3}}{3}

5 0
3 years ago
Select all of the following that are equivalent to 1/8
kykrilka [37]

Answer:

4/8: 1/2 or/and 50%  

2/8: 1/4 or/and 25%  

6/8: 3/4 or/and 75%

Hope this helps!



6 0
2 years ago
Suppose I have an urn with 9 balls: 4 green, 3 yellow and 2 white ones. I draw a ball from the urn repeatedly with replacement.
Mrrafil [7]

Answer:

E(X_n)=\frac{2(n-1)}{27}

E(y)=\frac{14}{9}

Step-by-step explanation:

From the question we are told that:

Sample size n=9

Number of Green g=4

Number of yellow y=4

Number of white w=4

Probability of Green Followed by yellow P(GY) ball

 P(GY)=\frac{4}{9}*\frac{3}{9}

 P(GY)=\frac{4}{27}

Generally the equations for when n is even is mathematically given by

 Probability of success P(S)=\frac{4}{27}

 Probability of Failure P(F)=\frac{27-4}{27}

 Probability of Failure P(F)=\frac{23}{27}

Therefore

 E(X_n)=\frac{n}{2}*P

 E(X_n)=\frac{n}{2}*\frac{4}{27}

 E(X_n)=\frac{2n}{27}

Generally the equations for when n is odd is mathematically given by

 \frac{n-1}{2}

 E(X_n)=\frac{n-1}{2}*\frac{4}{27}

 E(X_n)=\frac{2(n-1)}{27}

b)

Probability of drawing white ball

 P(w)=\frac{2}{9}

Therefore

 E(w)=\frac{1}{p}

 E(w)=\frac{1}{\frac{2}{9}}

 E(w)=\frac{9}{2}

Therefore

 E(y)=[E(w)-1]\frac{4}{9}

 E(y)=[\frac{9}{2}-1]\frac{4}{9}

 E(y)=\frac{14}{9}

5 0
3 years ago
“There shall be a firm and perpetual Peace between his Brittanic Majesty and the said States… all Hostilities both by Sea and La
icang [17]

Answer:

Treaty of Paris (1783

Step-by-step explanation:

Some of the treaty key points are;

The aim of the parties to "forget" previous disputes and controversies and to gain "perpetual peace and harmony"

1) The acknowledgement of the United States as a sovereign state

2) The United States boundary establishment

3) The right to fish granted to the United States fishermen

4) Debt settlement of lawful contracts on either side

5) Prisoners of war are to be released

6) Protection of property of Loyalists by the United States.

4 0
3 years ago
For the function f (x) = 8 - x2 evaluate f (-2)<br> 4<br> 12<br> -32<br> 0
professor190 [17]
The answer is 12

Explanation: as you replace -2 it will give 4 so when u add 4 to 8 it equals to 12
3 0
2 years ago
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