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lisabon 2012 [21]
3 years ago
15

Parallel lines s and t are cut by a transversal r. ​

Mathematics
1 answer:
AURORKA [14]3 years ago
4 0

Answer:

the answer is <3 and 5

because they add up to 180

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Use the distributive property to write<br> 13y - (5x - 3y) + x without parentheses.
mario62 [17]

Answer:

16y-4x

Step-by-step explanation:

first distribute the negative to the numbers in parentheses

13y-5x+3y+x

then combine like terms

13y+3y=16y

-5x+x=-4x

16y-4x

8 0
4 years ago
How many eight-letter permutations can be formed from the first letters of the alphabet?'?
dmitriy555 [2]
If no repeats, there are 8×7×6×5×4×3×2×1=40320.
8 0
3 years ago
Read 2 more answers
What is the area of this figure?
andre [41]

Answer:

Step-by-step explanation

Square Area :

4 x 4 = 16 yds²

Triangle area :

6 x 8 = 48 yds²

<u>This would make the area of a square though so you would need to divide by two</u>.

48/2=24 Yds²

<em>Whole Figure </em>

24 Yds² + 16 yds² = 40 Yds²

3 0
3 years ago
Joel can run around a 14– mi track in 81 sec, and Jason can run around the track in 69 sec. If the runners start at the same poi
Alenkasestr [34]

Answer:37.2 sec

Step-by-step explanation:

Given

Joel takes 81 sec for 14 mile long track

speed of joel \frac{14}{1.35} mi/min=10.37 mi/min

Jason takes 69 sec for 14 mi track

so jason speed is \frac{14}{1.15} mi/min=12.17 mi/min

if both starts from same spot in opposite direction then

\frac{x}{10.37}=\frac{14-x}{12.17}

where x is distance covered by Joel

then x=6.44 miles

therefore time required

t=\frac{6.44}{10.37}=0.621 min\approx 37.2 sec

8 0
4 years ago
A machine that manufactures automobile pistons is estimated to produce a defective piston 1% of the time. Suppose that this esti
GenaCL600 [577]

Answer:

Mean: 0.9 pistons

Standard deviation: 0.944 pistons

Step-by-step explanation:

Either a piston is defective, or it is not. This means that for either piston, there can only be two outcomes. This means that we can solve this problem by the binomial distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and each trial can only have two outcomes, with probabilities \pi and 1 - \pi.

For an experiment with n repeated trials and a probability of success \pi, we have that:

The mean is: \mu_{x} = n*\pi

The standard deviation is: \sigma_{x} = \sqrt{n*\pi*(1-\pi)}

In this problem

There are 90 pistons, so n = 90.

There is a 1% probability that a piston is defective, so \pi = 0.01.

Estimate the number of pistons in the sample that are defective by giving the mean of the relevant distribution:

\mu_{x} = n*\pi = 90(0.01) = 0.9

Quantify the uncertainty of your estimate by giving the standard deviation of the distribution.

\sigma_{x} = \sqrt{n*\pi*(1-\pi)} = 0.944

6 0
3 years ago
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