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iVinArrow [24]
3 years ago
12

The complement of an angle is one-fourth the measure of the supplement of the angle. What is the measure of the angle to the nea

rest whole degree?
Mathematics
1 answer:
atroni [7]3 years ago
6 0

Answer:

the answer is 60

Step-by-step explanation:

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Type the missing numbers in this sequence:<br> -101, -105,<br> -109,<br> -117
PIT_PIT [208]

Answer:

The answer is - 113 that is the correct answer skipping in three's and the first one is - 97

6 0
2 years ago
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Evaluate the expression 0.03^3
Vinvika [58]

The given expression is,

0.03^3

So, expanding we have,

0.03^3=0.03\times0.03\times0.03=\text{0}.000027

8 0
1 year ago
The function f(t)=t^2+12t-18 represents a parabola.
Lyrx [107]
y= t^{2} +12t -18 \\ y+18=t^{2} +12t \\ y+18+36=t^{2} +12t+36 \\ y+54=(t+6)^{2}  \\ y=(t+6)^{2} -54
f(t) = (t+6)^{2} -54
 

6 0
3 years ago
Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz. An ornithologi
il63 [147K]

Answer:

The formula to generate 70% confidence interval is: [\overline{x} - 0.013, \overline{x} + 0.013], in which \overline{x}  is the sample mean.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.7}{2} = 0.15

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.15 = 0.85, so Z = 1.037.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz.

This means that \sigma = 0.04.

Sample of 10 birds:

This means that n = 10.

The margin of error is of:

M = z\frac{\sigma}{\sqrt{n}}

M = 1.037\frac{0.04}{\sqrt{10}}

M = 0.013

The lower end of the interval is the sample mean of \overline{x} subtracted by M.

The upper end of the interval is the sample mean of \overline{x} added to M.

Then, the formula to generate 70% confidence interval is: [\overline{x} - 0.013, \overline{x} + 0.013], in which \overline{x}  is the sample mean.

8 0
3 years ago
226Ra has a half-life of 1599 years. How much is left after 1000 years if the initial amount was 10 g?
Ray Of Light [21]
\bf \textit{Amount for Exponential Decay using Half-Life}\\\\&#10;A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;P=\textit{initial amount}\to &10\\&#10;t=\textit{elapsed time}\to &1000\\&#10;h=\textit{half-life}\to &1599&#10;\end{cases}&#10;\\\\\\&#10;A=10\left( \frac{1}{2} \right)^{\frac{1000}{1599}}
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3 years ago
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