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Alisiya [41]
2 years ago
8

In circle Y, what is m∠SZT?

Mathematics
2 answers:
const2013 [10]2 years ago
7 0

Answer: b

Step-by-step explanation:

lara31 [8.8K]2 years ago
4 0
We first solve for angle TZU which is determined by the formula:
mTZU = 0.5(arcTU + arcSR)
mTZU = 0.5(72°+100°) = 86°

By vertical angle, mTZU = mSZR = 86°

We note that the sum of all angles formed is 360°. Solving for the remaining angles:
360° - 86° - 86° = 188°

Since mSZT is equal to mRZU by vertical angle, we divide 188° by 2.
188°/2 = 94°

m∠SZT = 94°
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Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 140 cards,
hjlf

Answer:

a) 0.9644 or 96.44%

b) 0.5429 or 54.29%

Step-by-step explanation:

a) The probability that at least 1 defective card is in the sample P(A) = 1 - probability that no defective card is in the sample P(N)

P(A) = 1 - P(N) .....1

Given;

Total number of cards = 140

Number selected = 20

Total number of defective cards = 20

Total number of non defective cards = 140-20 = 120

P(N) = Number of possible selections of 20 non defective cards ÷ Number of possible selections of 20 cards from all the cards.

P(N) = 120C20/140C20 = 0.0356

From equation 1

P(A) = 1 - 0.0356

P(A) = 0.9644 or 96.44%

b) Using the same method as a) above

P(A) = 1 - P(N) .....1

Given;

Total number of cards = 140

Number selected = 20

Total number of defective cards = 5

Total number of non defective cards = 140-5 = 135

P(N) = 135C20/140C20 = 0.457

From equation 1

P(A) = 1 - 0.4571

P(A) = 0.5429 or 54.29%

8 0
2 years ago
Julio Ernesto earns $15 an hour at his part-time job. Last week he worked 26 hours, and 45 minutes.. What was his gross pay for
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2 years ago
Matteo is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satelli
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Step-by-step explanation:

Given : The shape of his satellite can be modeled by y^2=6x where x and y are modeled in inches.

Now,the given equation y^2=6x is a equation of parabola.

Here, coefficient of x is positive, hence the parabola opens rightwards.

On comparing this equation with standard equation x^2=4mx, we get

4m=6\\\Rightarrow\ m=\frac{6}{4}=1.5

In standard equation, coordinates of focus=(m,0)

Thus for given equation coordinates of focus=(1.5,0)

4 0
2 years ago
Read 2 more answers
The Green family is a family of six people. They have used 4,885.78 gallons of water so far this month. They cannot exceed 9,750
prohojiy [21]

Answer:

The inequality is  6x+4,885.78\leq 9,750.05

x\leq 810.71\ gal

Step-by-step explanation:

Let

x -----> amount of water that can be used by only one family member for the rest of the month

we know that

6x+4,885.78\leq 9,750.05

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6x\leq 9,750.05-4,885.78

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Divide by 6 both sides

x\leq 4,864.27/6

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3 0
2 years ago
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