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3 years ago

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Given four functions, which one will have the highest y-intercept? f(x) g(x) h(x) j(x) Blake is tracking his savings account wit

h an interest rate of 5% and a original deposit of $6. x g(x) 1 6 2 8 3 12 the function h of x equals 4 to the x power, plus 3 j(x) = 10(2)x

1 answer:

denis23 [38]3 years ago

4 0

Answer is j(x) everything else i think is incorrect.

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Suppose that the researchers wanted to estimate the mean reaction time to within 6 msec with 95% confidence. Using the sample st

Lisa [10]

Answer:

a) The 95% confidence interval would be given by (509.592;550.308)

b) n=523 rounded up to the nearest integer

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=530$ represent the sample mean for the sample

$\mu$ population mean

s=70 represent the sample standard deviation

n=48 represent the sample size (variable of interest)

Confidence =95% or 0.995

Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are df=n-1=48-1=47

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,47)".And we see that $z_{\alpha/2}=2.01$

Now we have everything in order to replace into formula (1):

$530-2.01\frac{70}{\sqrt{48}}=509.692$

$530+2.01\frac{70}{\sqrt{48}}=550.308$

So on this case the 95% confidence interval would be given by (509.592;550.308)

Part b

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

Assuming that $\hat \sigma =s$

And on this case we have that ME =6msec, and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 95% of confidence interval is provided, $z_{\alpha/2}=1.96$ , replacing into formula (b) we got:

$n=(\frac{1.96(70)}{6})^2 =522.88 \approx 523$

So the answer for this case would be n=523 rounded up to the nearest integer

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3 years ago

Please teach me how to work this out?!

Olegator [25]

Answer:

Step-by-step explanation:

1 hr=60 min

1 km=0.62137 miles

15 km/min=(15×60) km/hr=900 km/hr=(900×0.62137) miles /hr=559.233 miles/hr

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3 years ago

Design an instructional activity that could help learner's recognise the decimal fractions can be applied across environmental s

lapo4ka [179]

An instructional activity that could help learners recognize fractions includes an analog clock, fraction strips, and pattern block.

<h3>What is an instructional activity?</h3>

Instructional activities are routine segments of instruction that show how the teacher and students will participate and interact with materials and content.

An instructional activity that could help learners recognize fractions includes an analog clock, fraction strips, and pattern block. For example, if one wants to teach students about fractional parts that are divided equally into twelfths, the analog clock can be ideal.

Learn more about fractions on;

brainly.com/question/78672

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2 years ago

If Denise and Alex add a 15% tip after the tax is applied, what is the total cost, including tip?

Murljashka [212]

What’s the cost before the tip? We need to know that before calculating the cost with the tip.

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3 years ago

On a coordinate plane, a line goes through (0, 4) and (2, 0). The first equation from the previous system of equations is graphe

Verizon [17]

Answer:

{3,-2}

Step-by-step explanation:

ITS CORRECT

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