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4 years ago

For what value of x is the equation 3.6x + 7.99 = 1.03 - 2.4x true?

Mathematics

1 answer:

artcher [175]4 years ago

6 0

Answer:

x= -1.16

Step-by-step explanation:

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The function y=60+25sin(pi/6)t, where t is in months and t=0 corresponds to April 15, models the average high temperature in deg

BartSMP [9]

Answer:

The maximum temperature will be of 85 degrees, on July 15.

Step-by-step explanation:

Sine function:

The sine function oscilates between -1 and 1, and it's maximum value is:

$\sin{(\frac{\pi}{2})} = 1$

y=60+25sin(pi/6)t

The maximum value will occur when $\sin{(\frac{\pi t}{6}}) = 1$ , and it will be of 60 + 25 = 85 degrees.

When will it occur?

First we find the value of t for which the value inside the function sine is $\frac{\pi}{2}$ . So

$\frac{\pi t}{6} = \frac{\pi}{2}$

$\frac{t}{6} = \frac{1}{2}$

$2t = 6$

$t = \frac{6}{2} = 3$

That is the number of months after April 15, which is 3 months. So July 15.

8 0

3 years ago

Is there an outliner? if so, what is it histogram

frutty [35]

Answer:

Usually, the presence of an outlier indicates some sort of problem. This can be a case which does not fit the model under study, or an error in measurement. Outliers are often easy to spot in histograms.

Step-by-step explanation:

It is similar to a Bar Chart, but a histogram groups numbers into ranges

3 0

3 years ago

a professor needs 2025 sheets of paper to print his classroom materials.Paper comes in packs of sheets.How many pack will the pr

Leto [7]

He would need to buy 4 packs of paper to print all of the material.

8 0

4 years ago

Use the confidence interval to find the estimated margin of error. Then find the sample mean. A biologist reports a confidence i

Pavlova-9 [17]

Answer:

$\bar X = \frac{Lower +Upper}{2}$

$\bar X= \frac{1.9+3.3}{2}= 2.6$

And the margin of error with this one:

$\bar X = \frac{Upper-Lower}{2}$

$ME = \frac{3.3-1.9}{2}= 0.7$

Step-by-step explanation:

Assuming that the parameter of interest is the sample mean $\mu$ . And we can estimate this parameter with a confidence interval given by this formula: