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alexandr1967 [171]
4 years ago
14

Write an equation for each exponential function in the form y=abₓ (to the xth power)

Mathematics
1 answer:
GuDViN [60]4 years ago
8 0

Answer:

y = 2 * 9 ^ x

Step-by-step explanation:

From the first point, you can get the value of a, since any number with power 0 with always equal to 1

  • 2 = a(1)
  • a = 2

Now you have y = (2)(b ^x), use the second point, substitute the value of X and y to (3,1458) to get the B value.

  • 1458 = 2b ^ 3
  • 729 = b ^ 3
  • B = 9
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Determine what type of statistical test should be used to answer each of the questions below. (You will only use each response o
Svet_ta [14]

Answer:

1.One proportion

2. Proportions from Dependent Samples

3. Two Independent Proportions

4. One Mean

5. Means from Dependent Samples

6. Two Independent Means

Step-by-step explanation:

What proportion of Americans believe in climate change? - One proportion

From the above information, there is only one sample and the question is about proportion. So, we must use "One proportion".

Do college students change their view on climate change as they go through college? One hundred freshman are asked if they believe in climate change. The same students are asked four years later if they also believe in climate change. - Proportions from Dependent Samples

From the information given, there are two samples and samples are dependent ( that is same students are asked four years later). Furthermore, the question is about proportion, we must use " Proportions from dependent samples ".



Is there a difference in the proportion of men and women who believe in climate change? - Two Independent Proportions

From the information given, there are two independent samples and they are asking about proportion, we must use "Two independent proportions".

What is the average amount of time that Americans spend watching or reading the news a day? - One Mean

From the information, there is only one sample and they are asking about mean. Therefore, we must use ". One mean".

Is there a difference in the amount of time that college students spend reading or watching the news as they go through college? One hundred students were asked as freshmen and as senior how many minutes a day they spent reading or watching the news? - Means from Dependent Samples

There are two samples and samples are dependent ( the same students are asked four years later). Also, they are asking about mean, we must use "Means from dependent samples ".

Is there is a difference in the amount of time that Republicans and Democrats spend watching or reading the news? - Two Independent Means

From the information given, there are two independent samples and they are asking about mean, we must use "Two independent means".

8 0
3 years ago
A sample of 64 was taken from a population, with the mean of the sample being 119 and the standard deviation of the sample being
Fofino [41]
We have the sample size, sample mean and the sample standard deviation. Since the population standard deviation is not know, we will use t-distribution to find the confidence interval.

The critical t value for 95% confidence interval and 63 degrees of freedom is 1.998.

The 95% confidence for the population mean will be:

(119-1.998 *\frac{16}{ \sqrt{64} } ,119+1.998 *\frac{16}{ \sqrt{64} }) \\  \\ 
=(115.004, 122.996) \\ \\=(115,123)

Thus, the 95% confidence interval for the population mean will be (115,123)

So, option A is the correct answer
6 0
3 years ago
Nathan boards an elevator in the lobby that is headed up at 160 meters per minute. Meanwhile, 210 meters above, Joey boards an a
Vesna [10]

Let time be t , distance be d

  • 160t=d-(1)
  • 230t=210-d-(2)

Put value in eq(2)

\\ \rm\longmapsto 230t=210-(160t)

\\ \rm\longmapsto 70t=210

\\ \rm\longmapsto t=30min

8 0
3 years ago
Simplify. 43 · 4-6<br><br> by the way the 3 and -6 are expontes
abruzzese [7]

Decimal: 0.015625 or as fraction= 1/64. Glade I could help!

6 0
3 years ago
How do you graph -y &lt;= 3x
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I'm not good at graphing, but desmos.com is an online graphing calculator that works really well.
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3 years ago
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