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2 years ago

Write the number five hundred two thousand, six hundred seventy-eight in standard form.

Mathematics

1 answer:

Arada [10]2 years ago

8 0

The answer is 502678

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Randomly selected students participated in an experiment to test their ability to determine when one minute (or sixty seconds)

zalisa [80]

Answer: $(57.41,\ 62.19)$

Step-by-step explanation:

Given : Sample size : $n=40$

Sample mean : $\overline{x}=59.8\text{ seconds}$

Standard deviation : $\sigma =9.2\text{ seconds}$

Significance level : $\alpha=1-0.9=0.1$

Critical value : $z_{\alpha/2}=1.645$

Formula to find the confidence interval for population mean :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=59.8\pm(1.645)\dfrac{9.2}{\sqrt{40}}\\\\\approx59.8\pm2.39\\\\=(59.8-2.39,\ 59.8+2.39)\\\\=(57.41,\ 62.19)$

Hence, a 90% confidence interval estimate of the population mean of all students = $(57.41,\ 62.19)$

6 0

3 years ago

Iestion 10 (5 points)

marta [7]

Answer:

Jake is 9, and Jake's dad is 43.

Step-by-step explanation:

Ok, let's start off by putting a variable for Jack's age, A.

We know that Jack's father is 2 less than 5 times, so we can write his as 5x -2.

Now let's make an equation:

52 = x + 5x - 2

We need to isolate the x-values so we need to add 2 on both sides:

54= x + 5x

No we need to add the like terms:

54 = 6x

Finally, we just divide by 6 on each side.

Now we know X = 9 but we're not done yet :)

So because Jake's dad is almost 5 times as much, we first multiply Jack's age by 5. We get 45 but we need to subtract 2 which leaves us with 43.

3 0

3 years ago

How many cases should Tom buy ?

Helen [10]

15 cases tom should buy

6 0

3 years ago

7 multiplied by 5 multiplied by 2 whole over 7 multiplied by 3, the whole raised to the power of 2 multiplied by 5 to the power

alekssr [168]

1.923 * 10 ^ -35 is the answer I got, however you did not specify any formatting to the question, so others may get a completely different answer

7 0

3 years ago

Find the standard deviation of the data, 12, 19, 9.

jek_recluse [69]

Answer:

4.19

Step-by-step explanation:

Find the mean:

$\text{Mean}=\frac{12+19+9}{3}=\frac{40}{3}$

Find the standard deviation:

$\text{Standard Deviation}=\sqrt{\frac{(12-\frac{40}{3})^2+(19-\frac{40}{3})^2+(9-\frac{40}{3})^2}{3}}=\sqrt{\frac{158}{9}}\approx4.19$

4 0

2 years ago