All categories

3 years ago

8^9•8^7 rewrite the following expression using each base only once

Mathematics

1 answer:

Alex787 [66]3 years ago

5 0

Answer:

$8^{16}$

Step-by-step explanation:

$8^9 \cdot 8^7$

Use the rule

$a^m \times a^n = a^{m + n}$

$8^9 \times 8^7 = 8^{9 + 7} = 8^{16}$

You might be interested in

If you go on this question at all you are a republican and that is good

cestrela7 [59]

Answer: hahshejehdbddndb

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

The estimated daily living costs for an executive traveling to various major cities follow. The estimates include a single room

Alexandra [31]

Answer:

$\bar x = 260.1615$

$\sigma = 70.69$

The confidence interval of standard deviation is: $53.76$ to $103.25$

Step-by-step explanation:

Given

$n =20$

See attachment for the formatted data

Solving (a): The mean

This is calculated as:

$\bar x = \frac{\sum x}{n}$

So, we have:

$\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}$

$\bar x = \frac{5203.23}{20}$

$\bar x = 260.1615$

$\bar x = 260.16$

Solving (b): The standard deviation

This is calculated as:

$\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}$

$\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}$ $\sigma = \sqrt{\frac{94938.80}{19}}$

$\sigma = \sqrt{4996.78}$

$\sigma = 70.69$ --- approximated

Solving (c): 95% confidence interval of standard deviation

We have:

$c =0.95$

So:

$\alpha = 1 -c$

$\alpha = 1 -0.95$

$\alpha = 0.05$

Calculate the degree of freedom (df)

$df = n -1$

$df = 20 -1$

$df = 19$

Determine the critical value at row $df = 19$ and columns $\frac{\alpha}{2}$ and $1 -\frac{\alpha}{2}$

So, we have:

$X^2_{0.025} = 32.852$ ---- at $\frac{\alpha}{2}$

$X^2_{0.975} = 8.907$ --- at $1 -\frac{\alpha}{2}$

So, the confidence interval of the standard deviation is:

$\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} }$ to $\sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }$

$70.69 * \sqrt{\frac{20 - 1}{32.852}$ to $70.69 * \sqrt{\frac{20 - 1}{8.907}$

$70.69 * \sqrt{\frac{19}{32.852}$ to $70.69 * \sqrt{\frac{19}{8.907}$

$53.76$ to $103.25$

8 0

2 years ago

A water polo team threw a pizza party after winning the championship. They needed enough pizza for 72 people. Each pizza serves

Taya2010 [7]

Answer: 204 dollars in total

Step-by-step explanation: There are 72 people, and each serving serves six people. 72 divided by 6 =12.

12x17 equals $204

Hope this helped!

7 0

2 years ago

Can someone help me please. I can give you extra points. Message me or text me on snap anja4life. To help me with more please

Tju [1.3M]

<h3>Answer: 8</h3>

=====================================

Work Shown:

$y = 192\left(4^{x-3}\right)\\\\196,608 = 192\left(4^{x-3}\right)\\\\\frac{196,608}{192} = 4^{x-3}\\\\1024 = 4^{x-3}\\\\4^{x-3} = 1024\\\\\log\left(4^{x-3}\right)=\log\left(1024\right)\\\\(x-3)*\log\left(4\right)=\log\left(1024\right)\\\\x-3=\frac{\log\left(1024\right)}{\log\left(4\right)}\\\\x-3=5\\\\x=5+3\\\\x=8\\\\$

It will take 8 hours for the population to reach 196,608 bacteria.

3 0

2 years ago

Help please!!!! Best answers!!

Snezhnost [94]

A Probability near 1 Indicates an Unlikely Event . I'm Guessing

8 0

3 years ago

Read 2 more answers