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1 year ago

Help with finding proofs

Mathematics

1 answer:

nadya68 [22]1 year ago

7 0

Answer:

Statement: ∠XYZ = ∠ABC Reasons: Below

Step-by-step explanation:

For two angles to be complementary means that the sum of the two angles is equivalent to 90°. When an angle has one of those little squares, that means the angle is a right angle, or a 90° angle. Also, since it's given that line segment AB and line segment BC are perpendicular, this means the two lines/line segments cross each other at a right angle, which also proves that line segment AB and BC have a 90° angle.

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1. Find the value of x in the diagram below. a) 8 b) 10 c) 12 d) 16

taurus [48]

Answer:19.3

Step-by-step explanation:

96+28=124

6x+8=124

124-8=116

6x=116

116/6

x=19.3

7 0

3 years ago

A group of 22 students participated in a math competition

ozzi

What is the question now??

8 0

3 years ago

A soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while

bija089 [108]

Answer:

The probability that the assembly line will be shut down is 0.00617.

Step-by-step explanation:

We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.

Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.

Let X = Number of bottles in the sample that are not within specification.

The above situation can be represented through binomial distribution;

$P(X=r)=\binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.....$

where, n = number of trials (samples) taken = 12 bottles

x = number of success = 2 or more bottles

p = probabilitiy of success which in our question is probability that

bottles are not within specification, i.e. p = 0.01

So, X ~ Binom (n = 12, p = 0.01)

Now, the probability that the assembly line will be shut down is given by = P(X $\geq$ 2)

P(X $\geq$ 2) = 1 - P(X = 0) - P(X = 1)

= $1-\binom{12}{0} \times 0.01^{0}\times (1-0.01)^{12-0}-\binom{12}{1} \times 0.01^{1}\times (1-0.01)^{12-1}$

= $1-(1 \times 1\times 0.99^{12})-(12 \times 0.01^{1}\times 0.99^{11})$

= 0.00617

8 0

3 years ago

Please help asap 50 pts

gregori [183]

I believe the answer is C. It doesn't make sense to drop an object from -16 feet, and it doesn't make sense to have a -120 in the equation. It should be positive for it to come out right.

3 0

3 years ago

Read 2 more answers

Which is a statistical question?

attashe74 [19]

I’m pretty sure the answer is D. Sorry if I’m wrong

8 0

2 years ago

Help with finding proofs​

Help with finding proofs