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Gnesinka [82]
3 years ago
14

The length of a river is 480 km. What is its length on a map with a scale 1:5,000,000?

Mathematics
2 answers:
NeX [460]3 years ago
8 0

Answer:

PLEASE MARK BRAINLIEST

the answer is 9.6 cm

Step-by-step explanation:

Greeley [361]3 years ago
6 0

Answer:

The length of the river on a map is 9.6\ cm

Step-by-step explanation:

we know that

The scale of the map is 1:5,000,000

That means

1 cm on a map is 5,000,000 cm on the actual

or

1 cm on a map is 50 km cm on the actual

so

using proportion

\frac{1}{50}\frac{cm}{km}=\frac{x}{480}\frac{cm}{km}\\ \\x=480/50\\ \\x=9.6\ cm

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Determine 4th term in the geometric sequence whose first term is -2 and whose common ration is -5.
anygoal [31]

Answer:

a_{4} = 250

Step-by-step explanation:

To obtain any term in the geometric sequence multiply the previous term by the common ratio r

here r = - 5 and a_{1} = - 2, hence

a_{2} = - 2 × - 5 = 10

a_{3} = 10 × - 5 = - 50

a_{4} = - 50 × - 5 = 250


8 0
3 years ago
The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation
Wewaii [24]

Answer:

0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation 2.

This means that \mu = 14, \sigma = 2

Sample of 100:

This means that n = 100, s = \frac{2}{\sqrt{100}} = 0.2

What is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2?

This is 1 subtracted by the p-value of Z when X = 14.2. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{14.2 - 14}{0.2}

Z = 1

Z = 1 has a p-value of 0.8413.

1 - 0.8413 = 0.1587

0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.

6 0
3 years ago
John goes running every morning. He can run 3 miles in 1 hour. How many miles would he be able to run in 1 and ½ hours? A. 4.5 m
BARSIC [14]

Answer:

2

Step-by-step explanation:

well less than 3

7 0
3 years ago
Read 2 more answers
The sum of two integers is 81.if the product is 1088.what are the integers
arlik [135]

Answer:

(a;b)={(17; 64); (64; 17)}

Step-by-step explanation:

a+b=81 => b=81-a

a*b=1088

a*(81-a)=1088

-a²+81a=1088

a²-81a+1088=0

a²-64a-17a+1088=0

a(a-64)-17(a-64)=0

(a-17)(a-64)=0

=> a=17 and a=64

for a=17 => b=81-17=64

for a=64 => b=81-64=17

(a;b)={(17; 64); (64; 17)}

3 0
3 years ago
Find the first 3 terms of arithmetic sequence if t5=-154 and t9=-274. find t1, t2, t3
777dan777 [17]

Answer: t1 = -34; t2 = -64; t3 = -94

d is the distance between numbers (d > 0)

we have:

t5 = t1 + 4d = -154

t9 = t1 + 8d = -274

we have the equations:

t1 + 4d = -154

t1 + 8d = -274

<=> t1 = -34

      d = -30

with t1 = -34 and = -30 => t2 = -34 - 30 = -64

                                          t3 = -64 - 30 = -94

Step-by-step explanation:

4 0
3 years ago
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