Y = x + 2; y = x2 + 2

Troyanec [42]

Go and download Photomath and it will scan the problem for you and tell you the answer with the graph

8 0

3 years ago

The expression 100 + 20m100+20m100, plus, 20, m gives the volume of water in Eduardo's pool (in liters) after Eduardo spends mmm

hodyreva [135]

Answer:

205 litres

Step-by-step explanation:

Given:

Volume of water is given as:

$V=100+20m$ (in litres)

<em>m</em> is the time in minutes spent filling water in Eduardo's pool.

To find:

Volume of water in the pool after the water is filled for $5\frac{1}{4}$ minutes.

Solution:

Here, volume of water in the Pool (in litres) is given by the equation:

$V=100+20m$ ....... (1)

Where m is the time for which Eduardo fills the pool.

Here, we are also given that

m = $5\frac{1}{4}$ minutes = $\frac{5\times4+1 }{4}=\frac{20+1}{4}=\frac{21}{4}$ minutes

And we have to find the value of V after $\frac{21}{4}$ minutes.

Let us put the value of m as $\frac{21}{4}$ minutes in the equation (1) to find the value of V.

$V=100+20m\\\Rightarrow V = 100 + 20 \times \frac{21}{4}\\\Rightarrow V = 100+105\\\Rightarrow \bold{V = 205\ litres}$

So, the volume of water in the pool after $\frac{21}{4}$ minutes is <em>205 litres.</em>

7 0

3 years ago

Julie travels 3 times as fast as Bill. Traveling in opposite directions, they are 190 miles apart after 2.5 hours. Find their ra

Mkey [24]

Answer:

Step-by-step explanation:

Let b

Bill's rate of travel = x

Let Julie's rate of travel = 3x

The time each travels is 2.5 hours

Together they travel a distance of 190 miles

d = r*t

Bill's distance covered is r * t = 2.5x

Julie's distance travel is 2.5 * 3x = 7.5x

The total distance = Bill + Julie

2.5x + 7.5x = 190

10x = 190

x = 190/10

x = 19

Bill's distance = 2.5 * 19 = 47.5

Julie's distance = 19 * 7.5 = 142.5

Rate = distance / time

Bill's rate = 47.5 / 2.5 = 19 miles per hour.

Julie's rate = 142.5/2.5 = 57 miles per hour

Is there an easier way?

You should notice that Bill's rate is just x which is 19 miles / hour

You can also notice that Julie is going 3 times as fast or 19*3 = 57

6 0

3 years ago

The mean life of a television set is 119119 months with a standard deviation of 1414 months. If a sample of 7474 televisions is

Pepsi [2]

Answer:

0.5034 = 50.34% probability that the sample mean would differ from the true mean by less than 1.1 months

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 can be 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 random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean

In this problem, we have that:

$\mu = 119, \sigma = 14, n = 74, s = \frac{14}{\sqrt{74}} = 1.6275$