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xeze [42]
2 years ago
7

If dane walks 20 feet then walks beack 80. how far did he travel?

Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
4 0

Answer:

-20

Step-by-step explanation:

-20

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In 2013, a study found that U.S. consumers consumed soft drinks with a mean of 42.2 gallons per year and variance of 169. Ninety
melisa1 [442]

Answer:

Ninety-five percent of consumers in the U.S. consumed less than 63.59 gallons.

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:

The standard deviation is the square root of the variance, so \sigma = \sqrt{169} = 13

Also, the mean is 42.2, so \mu = 42.2

Ninety-five percent of consumers in the U.S. consumed less than how many gallons?

The 95th percentile, which is the value of X when Z has a pvalue of 0.95. So X when Z = 1.645

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

1.645 = \frac{X - 42.2}{13}

X - 42.2 = 13*1.645

X = 63.59

Ninety-five percent of consumers in the U.S. consumed less than 63.59 gallons.

4 0
3 years ago
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 se
aniked [119]
52 - 38 is 14 
since on the second they sold one more child ticket then the first day we know the extra money is the price of a child ticket 
so 14 is how much a child ticket is 
if 3 senior citizen tickets but 14$ = 38 
subtract 14 from38 = 24
and then 24/3 =senior ticket
child:14$
senior:8$
5 0
3 years ago
If the frequency of a sound decreases, what happens to the wavelength?
madam [21]

Answer: The wavelength increases

Step-by-step explanation:

As frequency increases, wavelength decreases. Frequency and wavelength are inversely proportional. This basically means that when the wavelength is increased, the frequency decreases and vice versa.

Hope that this helps! Have a great day!

7 0
2 years ago
I don't need an answer but can someone explain how to do numbers 1-5?
cupoosta [38]
Monomial is one term, like #2 would be a monomial. binomial is two terms, like 3x - 2. trinomial is three terms, like #1,3,4. polynomial is four terms, like #5. standard form is just rewriting the equation in order from the term with the highest exponent to the lowest
8 0
3 years ago
Solve for x<br>5(x+1)-(x-18)=1
Rama09 [41]
The answer is x= 3.666 or 3 2/3
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3 years ago
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