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Zinaida [17]
2 years ago
15

A map has a scale of 1 cm : 11.5 km. Two cities are 5.5 cm apart on the map. To the nearest tenth of a kilometer, what is the ac

tual distance corresponding to the map distance?
A. 74.8 km

B. 120.8 km

C. 68.8 km

D. 63.3 km
Mathematics
2 answers:
galina1969 [7]2 years ago
7 0

Answer:

the answer is 63.3 km


777dan777 [17]2 years ago
5 0

All that you need to do here is to multiply 5.5 by 11.5 which equates to...

=5.5x11.5

=63.25

because the second decimal is five you have to round up so that means that the answer is 63.3km

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The exponent of a number says how many times to use the number in a multiplication.

For Example, In 8² , the 2 is the number of times 8 has to be multiplied. In this case It has to multiplied by itself 2 times, 8x8 = 64 so 8² = 64.
Another example is 9³ since the number above is 3 we have to multiply 9 three times, 9x9x9 = 729 which means 9³ = 729.

Hope this helps
3 0
3 years ago
11. The completion of a chemical reaction is expressed by the equation y = 300 - 4x - XP, where y is
alina1380 [7]

Answer:

The reaction ca occur at 10 degree Celsius or -14 degree Celsius.                                          

Step-by-step explanation:

We are given the following in the question:

The completion of a chemical reaction is expressed by the equation

y = 300 - 4x -x^2

where y is  the number of seconds needed to complete the reaction and x is the temperature in degrees Celsius  at which the reaction occurs.

We have to find the temperature at which the reaction occurs, if the completion time of reaction is 160 seconds.

Putting y = 160

160 = 300 - 4x -x^2\\x^2 + 4x  - 140 = 0\\x^2 + 14x -10x -140 = 0\\x(x+14)-10(x+14)=0\\(x-10)(x+14) = 0\\(x-10) =0, (x+14) =0\\x = 10, x = -14

Thus, the reaction ca occur at 10 degree Celsius or -14 degree Celsius.

5 0
2 years ago
You recently sent out a survey to determine if the percentage of adults who use social media has changed from 66%, which was the
il63 [147K]

Answer:

The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

Of the 2809 people who responded to survey, 1634 stated that they currently use social media.

This means that n = 2809, \pi = \frac{1634}{2809} = 0.5817

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 - 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.56

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 + 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.6034

The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).

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-40 i think.............. im not positive but i did my best

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