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Gala2k [10]
3 years ago
7

Here is a map of a town.

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
3 0

Answer:

The real-life distance between the park and the theatre is of 12 km.

Step-by-step explanation:

Scale of 1:400,000

Each means that each centimeter on the map has the real distance of 400,000 cm = 4 km

What is the real-life distance between the park and the theatre?

On the map, the distance between them is of 3 centimeters.

3*4 = 12

The real-life distance between the park and the theatre is of 12 km.

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9y - y if y =6 solve this please
Brilliant_brown [7]

Answer:48

Step-by-step explanation:

9 times 6 is 54, then you subtract the 6 and get 48

6 0
3 years ago
Read 2 more answers
A random sample of 12 men age 60-65 has a mean blood pressure of 142. 3 mmHg and a standard deviation of 20.8 mmHg. Construct a
Over [174]

Answer:

The 99% confidence interval = (126.93,157.67)

Step-by-step explanation:

The formula for Confidence Interval =

Mean ± z × Standard deviation /√n

Mean = 142. 3 mmHg

Standard deviation = 20.8 mmHg.

n = 12

Z score for 99% confidence interval = 2.56

Confidence Interval =

142.3 ± 2.56 × 20.8/√12

142.3 ± 2.56 × 6.0044427996

142.3 ± 15.371373567

Confidence Interval

= 142.3 - 15.371373567

= 126.92862643

≈ 126.93

142.3 + 15.371373567

= 157.67137357

≈ 157.67

Therefore, the 99% confidence interval = (126.93,157.67)

3 0
3 years ago
Match the side and angle measures of each triangle to its correct classification.
mojhsa [17]

Step-by-step explanation:

the first one is acute equilateral

the second one is obtuse scalene

the third one is right scalene

the fourth one is obtuse isosceles

7 0
2 years ago
Costa is planning a lunch banquet. The equation C=450+28g models the relation between the cost in dollars, C, of the banquet and
algol13

Answer:

When the number of guests is 0, the cost would be $450.

Step-by-step explanation:

We have been given an equation C=450+28g, which models the relation between the cost in dollars, C, of the banquet and the number of guests, g.

We can see that our given equation in slope-intercept form of equation y=mx+b, where, m represents slope of line and b represents y-intercept or initial value.

We can see that slope for our given equation is 28 and the C-intercept is 450.

The C-intercept tells us that when there are 0 guests in the banquet, the cost would be $450.

3 0
3 years ago
What is the equation of a line parallel to the x-axis that passes though the point (4,5)? What is the slope of this line
Svetlanka [38]

Slope of a line parallel to the x -axis is 0

y = 5 is the required equation of a line parallel to the x-axis that passes though the point (4,5)

<h3><u>Solution:</u></h3>

Given that  a line parallel to the x-axis that passes though the point (4,5)

To find: slope of this line and equation of a line

The x -axis is a horizontal line with the equation y = 0 There are an infinite number of lines that are parallel to the x -axis, y = 0

All horizontal lines have slope of 0

If lines are parallel then they have the same slope. The slope of a line parallel to the x -axis is 0

The equation of a straight line parallel to x-axis at a distance b from it is y = b

Here "b" is the y - co-ordinate value

Here given point is (4, 5) so b = 5

The required equation is y = 5

<h3><u>Method 2:</u></h3>

We know slope "m" = 0

Given point is (4, 5)

<em><u>The slope intercept form is given as:</u></em>

y = mx + b --- eqn 1

Where "m" is the slope of line and "b" is the y - intercept

Substituting m = 0 and (x, y) = (4, 5)

5 = 0(4) + b

b = 5

Substitute b = 5  and m = 0 in eqn 1

y = 0 + 5

y = 5 is the required equation of a line parallel to the x-axis that passes though the point (4,5)

6 0
3 years ago
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