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3 years ago

A community center has a swimming pool that holds 29,000,000 milliliters of water. How many liters of water can the pool hold?

Mathematics

2 answers:

victus00 [196]3 years ago

3 0

Answer:

29000

Step-by-step explanation:

Travka [436]3 years ago

3 0

Answer:

29000 liters

Step-by-step explanation:

1 milliliter = 0.001 liter which means 1000 milliliters = 1 liter

To find how many liters 29000000 milliliters can make up divide it by 1000

29000000 ÷ 1000 = 29000

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Alex skateboards at a constant speed from his house to school 3.8 miles away. It takes him 18 minutes. What fraction represents

Paraphin [41]

Speed is expressed as the ratio of distance/time = d/t

in Alex's case, speed = (3.8 miles / 18 minutes)

. . . or simply

3.8/18

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3 years ago

If a farmer wants to plough a farm field on time, he must plough 120 hectares a day. For technical reasons he ploughed only 85 h

natta225 [31]

Answer:

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3 years ago

Triangle ABC is a scale copy of triangle DEF. Side AB measures 12 CM and is the longest side of ABC. Side de measures 8 cm and i

Bezzdna [24]

Answer:

Answer: scale factor = 1.5 Step-by-step explanation: Given: Triangle ABC is a scaled copy of triangle DEF. Side AB = 12 cm and is the longest side of ABC. Side DE = 8 cm and is the longest side of DEF. AB is corresponds DE (longest side of both triangles) So, Hence, the scale factor = 1.5.

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/3943753-triangle-abc-is-a-scaled-copy-of-triangle-def-side-ab-measures.html

Step-by-step explanation:

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2 years ago

Read 2 more answers

A practice law exam has 100 questions, each with 5 possible choices. A student took the exam and received 13 out of 100.If the s

Cloud [144]

Answer:

$z=\frac{13-20}{4}=-1.75$

Assuming:

H0: $\mu \geq 20$

H1: $\mu$

$p_v = P(Z$

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest (number of correct answers in the test), on this case we now that:

$X \sim Binom(n=100, p=0.2)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We need to check the conditions in order to use the normal approximation.

$np=100*0.2=20 \geq 10$

$n(1-p)=20*(1-0.2)=16 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=100*0.2=20$

$\sigma=\sqrt{np(1-p)}=\sqrt{100*0.2(1-0.2)}=4$

So we can approximate the random variable X like this:

$X\sim N(\mu =20, \sigma=4)$

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean". The letter $\phi(b)$ is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: $\phi(b)=P(z$