Which statement is true?

Mathematics

1 answer:

Olin [163]3 years ago

5 0

Which statement is true will the the first one

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Grandma Gertrude's Chocolates, a family owned business, has an opportunity to supply its product for distribution through a la

igor_vitrenko [27]

<h2>Answer with explanation:</h2>

Given : Sample size : n = 36

Significance level for 90% confidence : $\alpha: 1-0.9=0.1$

Sample mean : $\overline{x}=0.60$

Standard deviation : $\sigma=0.08$

By using standard normal table for t-values,

Critical t-value : $t_{(n-1, \alpha/2)}=t_{(35,\ 0.05)}=1.690$

Thus, the correct value of t to construct a 90% confidence interval for the true mean percentage of cacao : $t_{(35,\ 0.05)}=1.690$

Confidence interval for population mean :

$\overline{x}\pm t_{(n-1, \alpha/2)}\dfrac{\sigma}{\sqrt{n}}\\\\=0.60\pm(1.69)\dfrac{0.08}{\sqrt{36}}\\\\=0.60\pm0.0225333333333\\\\\approx0.60\pm0.023\\\\=(0.60-0.023,\ 0.60+0.023)=(0.577,\ 0.623)$

Hence, A is the correct answer .

4 0

3 years ago

How many points need to be removed from this graph so

Softa [21]

2 points. You answer this with the vertical line test. There are two pairs of points with the same x-axis, so they make two vertical lines. For it to be a function, it must pass the vertical line test, so no two points have the same x-axis. I hope this helps :)

4 0

4 years ago

How do you solve <br> 2/3 [(5+3) ^-3]

vodka [1.7K]

$\dfrac{2}{3}[(5+3)^{-3}]=\dfrac{2}{3}(8)^{-3}\\\\\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{2}{3}\cdot\dfrac{1}{8^3}=\dfrac{2}{3\cdot512}=\dfrac{1}{3\cdot256}=\dfrac{1}{768}$