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3 years ago

A scale on a hiking map shows that 1.5 inches represents 4 miles

Mathematics

2 answers:

Alexxandr [17]3 years ago

6 0

Answer: 24 miles.

Step-by-step explanation:

1. You must keep on mind that, according the scale on the map, 1.5 inches represents 4 miles. Then, you can set up the following ratio:

$\frac{1.5}{4}=\frac{6}{x}$

Where x is the number of actual miles asked

2. You must solve for x, as following:

$(1.5)(x=4*6\\x=\frac{24}{1.5}\\x=16$

3. Therefore, 6 inches on the map represents 24 miles.

Inga [223]3 years ago

4 0

Answer:

16 miles

Step-by-step explanation:

You have a proportion which relates inches in the map with miles, in this case 1.5 inches represents 4 miles, and this relation must be fulfilled for any other ratio. So,

$\frac{4 miles}{1.5 inches} = \frac{\text{any distance in miles}}{\text{any distance in inches}}$

You want to know how many miles are represented by 6 inches. Replacing in formula and solving for x

$\frac{4 miles}{1.5 inches} = \frac{x}{6 inches}$

$\frac{4 miles}{1.5 inches} \times 6 inches = x$

$16 miles = x$

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A survey of an urban university (population of 25,450) showed that 870 of 1,100 students sampled supported a fee increase to fun

Katen [24]

Answer:

95% confidence interval for the proportion of students supporting the fee increase is [0.767, 0.815]. Option C

Step-by-step explanation:

The confidence interval for a proportion is given as [p +/- margin of error (E)]

p is sample proportion = 870/1,100 = 0.791

n is sample size = 1,100

confidence level (C) = 95% = 0.95

significance level = 1 - C = 1 - 0.95 = 0.05 = 5%

critical value (z) at 5% significance level is 1.96.

E = z × sqrt[p(1-p) ÷ n] = 1.96 × sqrt[0.791(1-0.791) ÷ 1,100] = 1.96 × 0.0123 = 0.024

Lower limit of proportion = p - E = 0.791 - 0.024 = 0.767

Upper limit of proportion = p + E = 0.791 + 0.024 = 0.815

95% confidence interval for the proportion of students supporting the fee increase is between a lower limit of 0.767 and an upper limit of 0.815.

5 0

2 years ago

Please work it out down below.

Anna35 [415]

Answer:

Step-by-step explanation:

3 |a-b| +2|b-1|

a= -2 and b=-4

3 |-2--4| +2|-4-1|

3 |-2+4| +2|-4-1|

3 |2| +2|-5|

Absolute value means takes whatever is inside and make it positive

3*2 +2*5

6 +10

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3 years ago

The horizontal line segment at the top of the polygon on the grid below is how many units long?

Ymorist [56]

Answer:

6 units long.

Step-by-step explanation:

Given:

A polygon drawn on a graph.

In order to determine the distance of the horizontal line at the top, we find the coordinates of the end points and then use distance formula to find the exact distance.

Let us label the polygon as ABCD as shown below. AB is the length of the horizontal line.

Coordinates of A are $(x_1,y_1)=(-3, 4)$ as seen in the graph.