3. Shannon said she can find the factored form of a trinomial of the form

Which statement explains the property of integer exponents shown in this equation? aman = am + n

harkovskaia [24]

Answer:

D

Step-by-step explanation:

The rule of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$

Shows that when 2 powers with the same base are being multiplied then the exponents are added.

4 0

3 years ago

Read 2 more answers

Find the measure of the arc or angle indicated.

Shkiper50 [21]

Answer:

15) ∠BCD = 1/2 short arc BC = (360° -260°)/2 = 50° (C)

16) ∠K is supplementary to short arc JL = 180° -120° = 60° (C)

17) ∠V is half the difference of long arc TW and short arc UW.

.. (198° - UW)/2 = 69°

.. 198° -138° = UW = 60° (C)

18) ∠L is supplementary to short arc KM

.. KM = 180° -66° = 114° (C)

Step-by-step explanation: hope it helped

7 0

3 years ago

The 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by World One Research, included the question, "H

LenaWriter [7]

Answer:

A 95% confidence interval estimate of the mean number of hours a legal professional works on a typical workday is [7.44 hours, 10.56 hours].

Step-by-step explanation:

We are given that x is normally distributed with a known standard deviation of 12.6.

A sample of 250 legal professionals was surveyed, and the sample's mean response was 9 hours.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average mean response = 9 hours

$\sigma$ = population standard deviation = 12.6

n = sample of legal professionals = 250

$\mu$ = mean number of hours a legal professional works

Here for constructing a 95% confidence interval we have used One-sample z-test statistics as we know about population standard deviation.

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level

of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ , $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ]

= [ $9-1.96 \times {\frac{12.6}{\sqrt{250} } }$ , $9+1.96 \times {\frac{12.6}{\sqrt{250} } }$ ]

= [7.44 hours, 10.56 hours]

Therefore, a 95% confidence interval estimate of the mean number of hours a legal professional works on a typical workday is [7.44 hours, 10.56 hours].

5 0

3 years ago

What is 43x22 in ratio table?

serious [3.7K]

Answer:

A ratio table is a structured list of equivalent (equal value) ratios that helps us understand the relationship between the ratios and the numbers. Rates, like your heartbeat, are a special kind of ratio, where the two compared numbers have different units. Let's look at some examples of ratio table problems.

Step-by-step explanation:

7 0

2 years ago

Tomika owns 3/5 of a law partnership. What percent of the partnership does Tomika own?

GuDViN [60]

Answer:

60%

Step-by-step explanation:

3/5 * 100 = 60%

Therefore Tomika owns 60% of the partnership

6 0

3 years ago

Read 2 more answers