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bulgar [2K]
3 years ago
14

Which is bigger 2.75 gallons orb12 liters

Mathematics
2 answers:
Alchen [17]3 years ago
8 0
12 liters is way bigger than 2.75 gallons
natima [27]3 years ago
7 0
12 liters because 2.75 gallons is not greater then 12 liters.
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Find the length of side s to the nearest tenth.
stepladder [879]

Answer:

10.3

Step-by-step explanation:

So first you get the angle of T which is 25 degrees

The you use the law of sine

\frac{s}{Sin 119} =\frac{5}{Sin 25}

Then you get s = 10.34763268

Round to nearest tenth

s = 10.3

8 0
2 years ago
A study investigating the relationship between age and annual medical expenses randomly samples 400 individuals in a city. It is
ICE Princess25 [194]

Answer:

The probability is 0.789

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\sigma = 16, n = 400, s = \frac{16}{\sqrt{400}} = 0.8

Find the probability that the mean age of the individuals sampled is within one year of the mean age for all individuals in the city.​

Using \mu = 30, this is the pvalue of Z when X = 31 subtracted by the pvalue of Z when X = 29. So

X = 31

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

By the Central Limit Theorem

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

Z = \frac{31 - 30}{0.8}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

X = 29

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

Z = \frac{29 - 30}{0.8}

Z = -1.25

Z = -1.25 has a pvalue of 0.1056

0.8944 - 0.1056 = 0.7888

Rounded to three decimal places, 0.789

The probability is 0.789

4 0
3 years ago
Read 2 more answers
Use the formula A = bh , where A is the area, b is the base length, and h is the height of the parallelogram, to solve this prob
ELEN [110]
A=bh
108=12(h)
h=a/b
h=108/12
h=9
5 0
3 years ago
4. Which fraction can be used to form a proportion with the following<br> fraction?<br> 3
LenaWriter [7]

3/1

Step-by-step explanation:

7 0
3 years ago
Liz has 4/8 of cake and ruby and marks doesnt want it
ozzi

Answer:

i dont get it- was there supposed to be an attachment??

Step-by-step explanation:

8 0
3 years ago
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