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Olin [163]
3 years ago
14

Solve for X . You must show all of your work to receive credit.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
4 0

Answer:

x = 6

Step-by-step explanation:

∠WVU lies outside the circle and the sides are tangents. The measure of the tangent- tangent angle is

∠WVU = 0.5( major arc - minor arc), that is

5x + 17 = 0.5(37x + 5 - (23x - 5)) = 0.5(37x + 5 - 23x + 5) = 0.5(14x + 10), so

5x + 17 = 7x + 5 ( subtract 7x from both sides )

- 2x + 17 = 5 ( subtract 17 from both sides )

- 2x = - 12 ( divide both sides by - 2 )

x = 6

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A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes
hammer [34]

Answer:

a) The probability that this whole shipment will be​ accepted is 30%.

b) Many of the shipments with this rate of defective aspirin tablets will be rejected.

Step-by-step explanation:

We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.

We select a sample of size 48 and test for defectives.

If more than one aspirin is defective, the batch is rejected.

The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48

We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

P(X\leq1)=P(X=0)+P(X=1)\\\\\\P(0)=\binom{48}{0}(0.05)^0(0.95)^{48}=1*1*0.0853=0.0853\\\\\\P(1)=\binom{48}{1}(0.05)^1(0.95)^{47}=48*0.05*0.0897=0.2154\\\\\\P(X\eq1)=0.0853+0.2154=0.3007

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3 years ago
Find all angles, 0 ≤C<360 that satisfy the equation below, to the nearest tenth of a degree.
ludmilkaskok [199]

Move all the terms involving the sine to one side, and all the numbers to the other:

9\sin(c)-2=\sin(c)-7 \iff 8\sin(c) = -5\iff \sin(c)=-\dfrac{5}{8} \iff c = \arcsin\left(-\dfrac{5}{8}\right)\approx 321.3

7 0
3 years ago
What is the slope of the line that passes through the points (1, -2) and (3, -5)?
Ksivusya [100]

Slope of the line is -3/2

Step-by-step explanation:

  • Step 1: Given points are (1, -2) and (3, -5)
  • Step 2: Equation for slope, m = (y2 - y1)/(x2 - x1)

⇒ m = (-5 - -2)/(3 - 1) = -3/2

4 0
3 years ago
I need help with this please
Vitek1552 [10]
The answer to 8a. is 17, the answer to 8b. is 3.9, the answer to 8c. is 1 / 2, the answer to 8d. is 7 7 / 8, the answer to 9a. is commutative property, the answer to 9b. is multiplicative identity property, the answer to 9c. is associative property, and the answer to 9d. is additive inverse property.

Regarding the whole "explain using mental math" thing, I pretty much just used the fact that 8a. and 8b. both had the same number of decimal places. For 8c., I just made each number have a denominator of 10. And last, for 8d., all of the denominators were already the same, which made it pretty easy. I apologize for this section of my answer being so informal lol, I haven't had to do these kinds of problems in like 5 years <span />
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The answer would be 3 blocks per minute
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3 years ago
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