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AlladinOne [14]
3 years ago
8

After a 25% discount, the price of a bike is $146. What was the original price of the bike?

Mathematics
1 answer:
ra1l [238]3 years ago
4 0
I put 0.75 because it is 25% discount which means you need to subtract it from 100.the rest is there.hope this helps if it does please mark brainliest

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According to the National Vital Statistics, full-term babies' birth weights are Normally distributed with a mean of 7.5 pounds a
Sav [38]

Answer:

68.26% probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 7.5, \sigma = 1.1

What is the probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

This is the pvalue of Z when X = 8.6 subtracted by the pvalue of Z when X = 6.4. So

X = 8.6

Z = \frac{X - \mu}{\sigma}

Z = \frac{8.6 - 7.5}{1.1}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 6.4

Z = \frac{X - \mu}{\sigma}

Z = \frac{6.4 - 7.5}{1.1}

Z = -1

Z = -1 has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

68.26% probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

6 0
3 years ago
A person invested $6,000, some at 7% and the rest at 5%. The income from the 7% investment is equal to the income from the 5% in
8090 [49]

Answer:

The person invested $3500 at 7% and $2500 at 5%

Step-by-step explanation:

We can say that 0,07x+0,05x=6000 because the investment is equal both in one as in another, where x is the income from the investment.

Solving the equation we have:

0,12x=6000\\x=50000

Then to get the incomes:

At 7%: I=0.07*50000\\I=$3500

And at 5%: I=0.05*50000\\I=$2500

Finally we can demonstrate the answer because the  income at 7% + income at 5% are 3500+2500=$6000

6 0
3 years ago
A circle has a radius of 20 centimeters and a central angle that measures 216 degrees. What is the length of the arc defined by
Bumek [7]

Answer:4320cm

Step-by-step explanation:

(length of the arc)/(length of the radius)=central angle

lengthof the arc/20=216

lengthof the arc=216×20

length of the arc=4320cm

8 0
2 years ago
I don't know how to find a different angle from this. PLEASE HELP FIND X!!!! THANKS!!!
timama [110]

The intersection of the two red rays forms a set of vertical angle pairs. In such a pair, angles opposite one another have the same measure, so the angle opposite the one labeled 93 degrees also has measure 93 degrees.

The red ray on the right together with the black ray pointing directly to the right form a pair of supplementary angles, whose measures add up to 180 degrees. This means the angle adjacent to the one labeled 128 degrees has measure 180 - 128 degrees.

In any triangle, the interior angles' measures add up to 180 degrees. So we have

? + 93 + (180 - 128) = 180

? + 93 - 128 = 0

? = 128 - 93

? = 35

8 0
3 years ago
16.How many surfaces does a cube have?
MrRa [10]
Hello!

A cube has 6 faces which is the shape of a square, all corners are 90 degrees and it’s x^3
8 0
3 years ago
Read 2 more answers
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