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stiks02 [169]
3 years ago
7

Value of x (6x+2)° (5x+22)°

Mathematics
1 answer:
Gnesinka [82]3 years ago
4 0

Answer:

x=20°

Step-by-step explanation:

(6x+2)° and (5x+22)° are vertically opposite angles, hence VOA angles are equal so

(6x+2)°=(5x+22)°

6x°+2°=5x°+22°.... collect the like terms

6x°-5x°=22°-2°

x°=20°

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Find the constant of proportionality for b) y=2x
natima [27]

Answer:

The constant of proportionality is 2.

Step-by-step explanation:

In an equation for which we are looking for the constant of proportionality, we use the base form below.

y = kx

In which k is the constant of proportionality. If we use the equation given

y = 2x

We can see k = 2

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What is the median of 49 47 48 33 <br> 51 38 47 42 34
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Answer:

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Step-by-step explanation:

arranging in ascending order

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3 years ago
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The probability that a randomly selected 2 2​-year-old male garter snake garter snake will live to be 3 3 years old is 0.98861 0
Mnenie [13.5K]

Answer:

a. Probability = 0.97735

b. Probability = 0.92294

c. P(At\ Least\ One) = 1

No, it is not unusual if at least 1 lives up to 3.

Step-by-step explanation:

Given

Represent the probability that a 2 year old snake will live to 3 with P(Live);

P(Live) = 0.98861

Solving (a): Probability that two selected will live to 3 years.

Both snakes have a chance of 0.98861 to live up to 3 years.

So, the required probability is:

Probability = P(Live)\ and\ P(Live)

Probability = 0.98861 * 0.98861

Probability = 0.9773497321

Probability = 0.97735 <em>--- Approximated</em>

Solving (b): Probability that seven selected will live to 3 years.

All 7 snakes have a chance of 0.98861 to live up to 3 years.

So, the required probability is:

Probability = P(Live)^n

Where n = 7

Probability = 0.98861^7

Probability = 0.92294324145

Probability = 0.92294 <em>--- Approximated</em>

Solving (c): Probability that at least one of seven selected will not live to 3 years.

In probabilities, the following relationship exist:

P(At\ Least\ One) = 1 - P(None).

So, first we need to calculate the probability that none of the 7 lived up to 3.

If the probability that one lived up to 3 years is 0.98861, then the probability than one do not live up to 3 years is 1 - 0.98861

This gives:

P(Not\ Live) = 0.01139

The probability that none of the 7 lives up to 3 is:

P(None) = P(Not\ Live)^7

P(None) = 0.01139^7

Substitute this value for P(None) in

P(At\ Least\ One) = 1 - P(None).

P(At\ Least\ One) = 1 - 0.01139^7

P(At\ Least\ One) = 0.99999999999997513055642436060443621

P(At\ Least\ One) = 1 ---- Approximated

No, it is not unusual if at least 1 lives up to 3.

This is so because the above results, which is 1 shows that it is very likely for at least one of the seven to live up to 3 years

7 0
3 years ago
A ladder that is 32 ft long leans against a building. The angle of Elevation of the Ladder is 70 degrees
netineya [11]

Answer:

B. 30 ft

Step-by-step explanation:

The ladder is 32 ft long

The angle of elevation of the ladder is 70°

The height (h) of the top of the ladder to the ground is what we are to find.

\frac{h}{32} = sin 70°

h = 32 × sin 70° = 30.07016387 or 30 ft (rounded off to nearest feet)

3 0
3 years ago
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