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inna [77]
3 years ago
5

Mrs. Baer has 3 sheets of paper. If she only uses

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
4 0

Answer:

answer choices?

Step-by-step explanation:

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In the diagram below secants PT & PU have been drawn from exterior point P such that the four arcs intercepted have the foll
fiasKO [112]

Answer:

  • x = 30°
  • RS = 30°, SR = TU = 120°, UR = 90°
  • ∠P = 45°
  • ∠UTS = 60°

Step-by-step explanation:

(a) If RS = x, then the sum of arcs around the circle is ...

  x + 4x +4x +3x = 360°

  12x = 360°

  x = 30°

__

(b) Based on the given ratios, the arc measures are computed from x. For example, ST = TU = 4x = 4(30°) = 120°

  • RS = 30°
  • ST = 120°
  • TU = 120°
  • UR = 90°

__

(c) Angle P is half the difference of arcs TU and RS:

  ∠P = (TU -RS)/2 = (120° -30°)/2

  ∠P = 45°

__

(d) Inscribed angle UTS is half the measure of the arc it intercepts. Arc RU has the measure (30° +90°) = 120°, so the measure of UTS is ...

  ∠UTS = 120°/2 = 60°

4 0
3 years ago
What is the expression in the factored x2+7x+6
Sedbober [7]

Answer:

Step-by-step explanation:

x² +7x + 6  = (x+1)(x+6)

7 0
3 years ago
Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate
yKpoI14uk [10]

Answer:

a) 0.5588

b) 0.9984

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 24

Standard Deviation, σ = 6.4

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}        

a) P(score between 20 and 30)

P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{6.4} \leq z \leq \displaystyle\frac{30-24}{6.4}) = P(-0.62 \leq z \leq 0.94)\\\\= P(z \leq 0.94) - P(z < -0.62)\\= 0.8264 - 0.2676 = 0.5588 = 55.88\%

P(20 \leq x \leq 30) = 55.88\%

b) Sampling distribution

Sample size, n = 22

The sample will follow a normal distribution with mean 24 and standard deviation,

s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{6.4}{\sqrt{22}} =1.36

c) P(mean score of sample is between 20 and 30)

P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{1.36} \leq z \leq \displaystyle\frac{30-24}{1.36}) = P(-2.94 \leq z \leq 4.41)\\\\= P(z \leq 4.41) - P(z < -2.94)\\= 1 - 0.0016 = 0.9984 = 99.84\%

P(20 \leq x \leq 30) =99.84\%

5 0
3 years ago
Consider the radical equation √c+22 = c + 2.
dimulka [17.4K]

First square both sides to get:

c + 22 = (c + 2)^2

or

c + 22 = c^2 + 4c + 4

Move the terms on the left side to the right side:

c^2 + 3c - 18 = 0

Factor to get:

(c + 6) * (c - 3) = 0.

The solutions are c = -6 and c = 3.

Check to see if these answers work by plugging them into the original equation:

c = -6:

sqrt (-6 + 22) ?= -6 + 2

But, -6 + 2 is a negative number, and you can't get a negative from a square root. So, -6 is extraneous.

c = 3:

sqrt (3 + 22) ?= 3 + 2

5 = 5. So, 3 works.

The answer is: B

7 0
3 years ago
What is 2/3 ➗ 1/6?<br><br> 2<br> 3<br> 4<br> 6
MrMuchimi

Answer:

12/3=4

Step-by-step explanation:

it's 4, 2/3's stay the same. do the reciprocal on 1/6 which will be 6/1 and multiply

2/3(6/1)=12/3

and turn it to a mixed fractions and you would get 4

8 0
3 years ago
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