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2 years ago

What does that equal

Mathematics

1 answer:

son4ous [18]2 years ago

8 0

Answer:

$3-\sqrt{10}$

Step-by-step explanation:

We are given an expression and are asked to find what it equals. We can see that the two square roots are being multiplied, therefore they follow the same standard as any multiplication problem, do as followed :

$\sqrt{5} *\sqrt{2}$

$\sqrt{10}$

Since a square root and constant number are different terms, we cannot combine them together, therefore leave as is :

$3-\sqrt{10}$

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What is the volume of the portion of the aquarium without water in it? 111 cm³ 14,000 cm³ 32,200 cm³ 46,200 cm³

Talja [164]

Answer:

92511cm3

Step-by-step explanation:

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2 years ago

A teacher was interested in knowing the amount of physical activity that his students were engaged in daily. He randomly sampled

klasskru [66]

Answer:

The standard error of the mean is 4.5.

Step-by-step explanation:

As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:

$\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}$

The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.

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$\bar{x}=\frac{1}n} \sum x_i =\frac{30+40+60+80+20+85}{6}=52.5$

The standard deviation of the sample is calculated as:

$s=\sqrt{\frac{1}{n-1}\sum (x_i-\bar x)^2} \\\\ s=\sqrt{\frac{1}{5}\cdot ((30-52.5)^2+(40-52.5)^2+(60-52.5)^2+(80-52.5)^2+(20-52.5)^2+(85-52.5)^2}\\\\s=\sqrt{\frac{1}{5} *3587.5}=\sqrt{717.5}=26.8$

Then, we can calculate the standard error of the mean as:

$\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}=\frac{26.8}{6}= 4.5$

6 0

3 years ago

A TV report conducted a survey of 947 people in New York City and found that 35% of the population believe that the Yankees will

garik1379 [7]

Answer:

$35\%$ represents the sample proportion of the population

Step-by-step explanation:

From the question we are told that

The sample size is n = 947

The proportion of the population that believes that the Yankees will miss the playoffs this year is $k = 35\% = 0.35$

From the question we are told the confidence level is 97%

The lower limit of the confidence level is a = 28%

The upper limit of the b = 42%

Generally the sample proportion of this population is mathematically represented as

$\^ p = \frac{a+ b}{2}$

=> $\^ p = \frac{28 + 42 }{2}$

=> $\^ p = 35\%$

Hence $35\%$ represents the sample proportion

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2 years ago

Zane is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was 202020 meters below the edge

aleksklad [387]

Answer:

f(x) = -4x + 20

Refer attachment for graph.

Step-by-step explanation:

Given: when Zane was 20 meters below the edge of a volcano. He heard some rumbling, so he decided to climb up out of there as quickly as he could. He managed to climb up 4 meters each second and get out of the volcano safely.

We have to graph Zane's elevation relative to the edge of the volcano (in meters) as a function of time (in seconds).

Let he takes x seconds to get out of the volcano.

and y be the distance covered by the volcano to reach Zane.

Then, to reach the edge of volcano,

Thus, The equation that represent Zane's elevation relative to the edge of the volcano (in meters) as a function of time (in seconds). is given by

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Plot this and obtained the graph for the given equation as attached below.

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3 years ago

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Khan Academy math question

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Answer:

the answer is 0 you're welcome bye

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