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Arturiano [62]
3 years ago
7

The highway from Stonestown to Budley passes through Henton, as shown in the map below.

Mathematics
1 answer:
Minchanka [31]3 years ago
4 0

Answer:

C. 1 inch = 23 miles

Step-by-step explanation:

To find the scale, add the scale distances shown first.

2.25 + 1.75 = 4 inches on the map

Now, divide the actual mileage (92 miles) by how long it was on the map.

92 / 4

92 = 80 + 12

92/4 = (80/4) + (12/4)

92/4 = 20 + 3

92/4 = 23 miles

That means 1 inch on this map is actually 23 miles. So the scale of the map is 1 inch = 23 miles, which is C.

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<span>Given are the following data: 

Heart failure causes:

84% natural occurence
16% outside factors
18 individuals (sample size) 

1. What is the probability that 3 individuals have conditions caused by outside factors?

Probability = 3/18 * 0.16 = 0.0267 or 2.67%

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7 0
3 years ago
A toy manufacturer wants to know how many new toys children buy each year. A sample of 601 children was taken to study their pur
Lilit [14]

Answer:

The confidence interval is 6.6<μ<6.8.

Step-by-step explanation:

We have:

Number of observations = 601

Mean = 6.7

Standard deviation σ = 1.5

The z-score for a 95% confidence interval is 1.96.

The limits of the confidence interval can be calculated as

X \pm z*\frac{\sigma}{\sqrt{n}}\\\\LL=X-z*\frac{\sigma}{\sqrt{n}}=6.7-1.96*\frac{1.5}{\sqrt{601} } =6.7-0.1199=6.6\\\\UL=X+z*\frac{\sigma}{\sqrt{n}}=6.7+1.96*\frac{1.5}{\sqrt{601} } =6.7+0.1199=6.8

The confidence interval is 6.6<μ<6.8.

7 0
4 years ago
A scientist finds the distances d that two snakes travel in a time of t seconds. the equation 16t = d represents the relationshi
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From the equation given, the time for the black mamba snake to cover distance d, will be d/16 while that for the the rought-scaled snake would be d/1.5.
Assume that the distance covered by both snakes is 200 meters;
Then, 
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Time taken by the rought-scaled snake is 200/1.5 = 133.33 seconds
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3 years ago
To find 23 times 8, double and halve
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The answer is 184. 23 * 8 = 184. 184 * 2 = 368. 368 ÷ 2 = 184
6 0
3 years ago
Read 2 more answers
Solve the systems of equations y=2x and y=-x - 6
slava [35]

Answer:

y = -4

x = -2

Step-by-step explanation:

Hi there...

y = 2x

y = -x - 6

Since why is equal to 2x, we can plug it in for y in the second equation. Here's what I mean...

2x = -x - 6

add x on both sides...

3x = -6

divide by 3 on both sides...

x = -2

Now, plug in x for y. Here's what I mean...

y = 2x

y = 2 (-2)

y = -4

Hope this helps :)

7 0
3 years ago
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