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3 years ago

A scale of 1 cm to 8 km is used for a map.

Mathematics

1 answer:

-Dominant- [34]3 years ago

7 0

Answer:

40 km^2

16 cm^2

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Actual area = scale factor x scaled area

8 x 5 = 40 km^2

Scaled area on the map = 128.8 = 16 cm^2

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Two different red-light-running signal systems were installed at various intersection locations with the goal of reducing angle-

nekit [7.7K]

Complete Question

Two different red-light-running signal systems were installed at various intersection locations with the goal of reducing angle-type crashes. Red-Light-Running System A resulted in 60% angle crashes over a sample of 720 total crashes. Red-Light-Running System B resulted in 52% angle crashes over a sample of 680 total crashes. Was there a difference between the proportions of angle crashes between the two red-light-running systems installed? Use an alpha of 0.10.

Answer:

Yes there is a difference between the proportions of angle crashes between the two red-light-running systems installed

Step-by-step explanation:

From the question we are told that

The first sample proportion is $\r p_ 1 = 0.60$

The second sample proportion is $p_2 = 0.52$

The first sample size is $n_1 = 720$

The second sample size is $n_2 = 680$

The level of significance is $\alpha = 0.10$

The null hypothesis is $H_o : \r p_1 - \r p_2 = 0$

The alternative hypothesis is $H_a : \r p_1 - \r p_2 \ne 0$

Generally the pooled proportion is mathematically represented as

$p_p = \frac{(\r p_1 * n_1 ) + (\r p_2 * n_2)}{n_1 + n_2 }$

=> $p_p = \frac{(0.6 * 720) + ( 0.52 * 680)}{720 +680 }$

=> $p_p = 0.56$

Generally the test statistics is evaluated as

$t = \frac{ ( \r p_1 - \r p_2 ) - 0 }{ \sqrt{ (p_p (1- p_p) * [ \frac{1}{n_1 } + \frac{1}{n_2 } ])} }$

$t = \frac{ (0.60 - 0.52 ) - 0 }{ \sqrt{ (0.56 (1- 0.56) * [ \frac{1}{720} + \frac{1}{680 } ])} }$

$t = 3.0$

The p-value obtained from the z-table is

$p-value = P(Z> t ) = 0.0013499$

From the question we see that $p-value < \alpha$ so the null hypothesis is rejected

Hence we can conclude that there is a difference between the proportions

3 0

3 years ago

A roll of carpet that contains 250 yd of carpet will cover how many rooms if each room requires 7 3/4 yards of carpet?

iren [92.7K]

Answer: 32 room

Step-by-step explanation:

$7\frac{3}{4} =\frac{4(7)+3}{4} =\frac{28+3}{4} =\frac{31}{4}=7.75$

If 1 room = 7.75 yd of carpet ⇒ x rooms = 250 yd of carpet

Use proportions & cross-multiply to solve:

$\frac{1}{7.75} =\frac{x}{250}\\7.75x=250\\x=\frac{250}{7.75} =32.258$

So 250 yd of carpet can cover about 32 rooms.

3 0

2 years ago

Whats 2+2-1+17-9+29-9= Hows your day

grigory [225]

Answer:

31 is the answer of this question

3 0

3 years ago

Read 2 more answers

What is the domain and range of y = 4x + 1?

Andrei [34K]

A)D;[-,00] R:(-0, 0]

4 0

3 years ago

Help I’ll give you 30 points

Gnesinka [82]

Answer:

a) 16.25 centimeters

b) 6.8 centimeters

Step-by-step explanation:

We can set up a proportion for both of these problems.

a) Look at the longest side of each triangle. We can set up a fraction: 7.2/18. We can also set up a fraction for XZ and PR:

6.5/x

x represents the length you're trying to find.

Since the triangles are similar, we have an equation:

7.2/18=6.5/x

Cross multiply

16.25

XZ is 16.25 centimeters long.

We can do same thing:

7.2/18=x/17

Cross multiply

6.8

QR is 6.8 centimeters long.

Hope this helps!

6 0

3 years ago

Read 2 more answers