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Vlada [557]
2 years ago
5

Addison wants to ride her bicycle more than 80 miles this week. She has already ridden her bicycle 18 miles. Which inequality co

uld be used to determine the mean number if miles, m, she would need to ride her bicycle each day for six more days to achieve her goal?
Mathematics
1 answer:
Alex2 years ago
4 0
She would need to ride her bike more than 10.33 miles per day: x > 10.33

She has 62 miles left to ride for the week. To find the average per day, we just need to divide that amount by 6. 

Dividing will give us 10 and one-third, or about 10.33.
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The 2000 U.S. Census reports the populations of Bozeman, Montana, as 27,509 and Butte, Montana, as 32,370. Since the 1990 census
Nitella [24]
If the increase is x% per year, the multiplier each year is 1+x (expressed as a decimal).

Bozeman = 27,509·1.0196^t
Butte = 32,370·0.9971^t

where t is the number of years after 1990.
3 0
2 years ago
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The minimum distance from Earth to the Sun is 91.4 million miles. The maximum distance is 94.5 million miles write a absolute va
d1i1m1o1n [39]

Solution :

The minimum distance from Earth to the Sun is 91.4 million miles

The maximum distance is 94.5 million miles

d_{min} = 91.4, d_{max} = 94.5

d=\frac{d_{min} + d_{max}}{2}

d=\frac{91.4 + 94.5}{2}

d=92.95

d_{sol}=\frac{d_{max} - d_{min}}{2}

d_{sol}=\frac{94.5 - 91.4}{2}

d_{sol} =1.55

Absolute Value Equation:

|x - d| = d_{sol}

|x - 92.95| = 1.55

5 0
2 years ago
Which expression is equivalent to 10x2y + 25x2? 5x2(2y + 5) 5x2y(5 + 20y) 10xy(x + 15y) 10x2(y + 25)
olya-2409 [2.1K]
The answer would be A. 5x2(2y+5)
5 0
2 years ago
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Exercise 6.12 presents the results of a poll where 48% of 331 Americans who decide to not go to college do so because they canno
tensa zangetsu [6.8K]
<h2>Answer with explanation:</h2>

As per given , we have

\hat{p}=0.48   , n=331

Critical value for 90% Confidence interval : z_{\alpha/2}=1.645

a) Confidence interval :

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

0.48\pm (1.645)\sqrt{\dfrac{0.48(1-0.48)}{331}}\\\\\approx 0.48\pm0.02746\\\\=(0.48-0.02746,\ 0.48+0.02746)\\\\=(0.45254,\ 0.50746)

Hence, a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot a ord it : (0.45254,\ 0.50746)

b) Margin of error : E=1.5%=0.015

Formula for sample size : n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

For p =0.48 , we  have

n=0.48(1-0.48)(\dfrac{1.645}{0.015})^2=3001.88373333\approx3002

Hence, the required sample size to survey = 3002

6 0
2 years ago
an ellipse has a center at the origin, a vertex along the major axis at (13, 0), and a focus at (12, 0). What is the equation of
yan [13]
Hi, as the elipce has a center at the origion and tha major distance is the axis

\frac{x^2}{a^2} + \frac{y^2}{b^2}  = 1

But, 

c = 12        Distance of focus

a = 13   ->  Major distance

b = ?  -> 

But, 

\\ b^2 + c^2 = a^2&#10; \\ &#10; \\ b^2 + 12^2 = 13^2&#10; \\ &#10; \\ b^2 + 144 = 169&#10; \\ &#10; \\ b^2 = 169 - 144&#10; \\ &#10; \\ b^2 = 25&#10; \\ &#10; \\ b =  \sqrt{5} &#10; \\ &#10; \\ b = 5&#10;&#10;

Then,


\\  \frac{x^2}{(13)^2} +  \frac{y^2}{(5)^2} = 1&#10; \\ &#10; \\ or&#10; \\ &#10; \\  \frac{x^2}{169} +  \frac{y^2}{25} = 1
5 0
2 years ago
Read 2 more answers
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