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jekas [21]
3 years ago
10

Solve for x Help me please

Mathematics
1 answer:
ozzi3 years ago
5 0

Answer:

x = 42.5

Step-by-step explanation:

A triangle inscribed inside of a circle using the diameter of the circle as it's hypotenuse is a right triangle ( a 90 degree triangle ) where the angle opposite of the hypotenuse is the 90 degree angle ( angle C )

Hence angle C = 90

If angle C = 2x + 5

Then 2x + 5 = 90

Notice that we just created an equation that we can use to solve for x

We now solve for x algebraically

2x + 5 = 90

Step 1 subtract 5 from both sides

2x + 5 - 5 = 90 - 5

Outcome: 2x = 85

Step 2 divide both sides by 2

2x/2 = 85/2

Outcome: x = 42.5

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A manufacturer of floor wax has developed two new brands, A and B, which she wishes to subject to homeowners' evaluation to dete
sergejj [24]

Answer:

Probability that ten or more homeowners would state a preference for either brand A or brand B = 0.302

Step-by-step explanation:

Given - A manufacturer of floor wax has developed two new brands, A and B, which she wishes to subject to homeowners’ evaluation to determine which of the two is superior. Both waxes, A and B, are applied to floor surfaces in each of 15 homes. Assume that there is actually no difference in the quality of the brands.

To find - What is the probability that ten or more homeowners would state a preference for either brand A or brand B?

Proof -

Given that,

There is actually no difference in the quality of the brands.

⇒P(A) = \frac{1}{2} = 0.5

  P(B) = \frac{1}{2} = 0.5

Now,

We know that,

Binomial distribution is equals to

B(n, x) = ⁿCₓ (p)ˣ (1 - p)ⁿ⁻ˣ

Now,

P(X(A) ≥ 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

               = ¹⁵C₁₀ (0.5)¹⁰ (0.5)⁵ + ¹⁵C₁₁ (0.5)¹¹ (0.5)⁴ + ¹⁵C₁₂ (0.5)¹² (0.5)³ + ¹⁵C₁₃ (0.5)¹³ (0.5)² + ¹⁵C₁₄ (0.5)¹⁴ (0.5)¹ + ¹⁵C₁₅ (0.5)¹⁵ (0.5)⁰

                =  0.092 + 0.042 + 0.014 + 0.003 + 0.0005 + 0.00005

                = 0.151

⇒P(X(A) ≥ 10) = 0.151

As given Quality of both brands are same ,

So, the probability of both the brands are equal

⇒P(X(B) ≥ 10) = 0.151

Now,

Probability that ten or more homeowners would state a preference for either brand A or brand B = P(X(A) ≥ 10) + P(X(A) ≥ 10)

                                           = 0.151 + 0.151

                                           = 0.302

∴ we get

Probability that ten or more homeowners would state a preference for either brand A or brand B = 0.302

4 0
2 years ago
The middle school dance team had 2 separate car washes on Saturday to raise money for new uniforms. The Main Street location rai
rosijanka [135]

Answer:

$465 at Back Street

$515 at Main Street

Step-by-step explanation:

980 (total) - 50 (the difference between the two) = 930

930/2 = 465 (back street)

465 + 50 (the difference) = 515 ( main street)

CHECK: 465 + 515 = 980

6 0
3 years ago
(50 points) Which graph is defined by the function given below?
marta [7]

Answer:

Graph B

Step-by-step explanation:

y = (x - 3)(x - 3)

The x intercepts are at 3

Since both intercepts are at 3, the vertex is at 3

We know it is an upwards facing parabola since it is quadratic and the constant out front is positive

5 0
2 years ago
I need help with this -15= n -8
4vir4ik [10]

Answer:

n = -7

Step-by-step explanation:

-15= n-8

n-8=-15

+8  +8

n=-7

7 0
3 years ago
Read 2 more answers
Whoever answers these 2 right gets brainliest and 25 points!
Lana71 [14]
The first one is B and the second one is C
3 0
3 years ago
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