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3 years ago

198 woman to 110 men in the simplest form

Mathematics

1 answer:

Sholpan [36]3 years ago

7 0

Answer:

1 4/5

Step-by-step explanation:

198 woman to 110 is basically a ratio, so we should put it like this: 198:110

Now, a ratio that needs to be simplified is basically a fraction, so: 198/110

Now we divide the fraction.

First, find the GCF of both numbers.

The GCF of 198 and 110 are both 22.

Now we divide, and we get 9/5, and we turn it into a mixed number, 1 4/5.

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What is the equation of a line that is parallel to y=47x−3 and passes through (14, 4)?

Shtirlitz [24]

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where

m = slope

c = intercept

The equation of the given line is

y = 47x - 3

Comparing with the slope intercept equation, m = 47

If two lines are parallel, it means that they have equal slope. This means that the slope of the line passing through (14, 4) is 47

We would determine the intercept, c by substituting m= 47, x = 14 and y = 4 into y = mx + c. It becomes

4 = 47× 14 + c

4 = 658 + c

c = 4 - 658 = - 654

The equation becomes

y = 47x - 654

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3 years ago

In ΔABC, AD and BE are the angle bisectors of ∠A and ∠B and DE ║ AB . If m∠ADE is with 34° smaller than m∠CAB, find the measures

klemol [59]

Answer:

68, 78,34 dreegs

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

ALOT OF POINTS IF YOU HELP ME PLEASE EXPLAIN

Svetllana [295]

Answer:

Helena gave the answer as (7y²z + 6yz²- 5 - 3yz² + 2) which is equivalent to (7y²z + 3yz² - 3).

Step-by-step explanation:

Misha's group was asked to write an expression equivalent to

7y²z + 3yz² - 3

When Mr. Chen checked their answers, he found only one to be correct.

And she was Helena.

Helena gave the answer as (7y²z + 6yz²- 5 - 3yz² + 2) which is equivalent to (7y²z + 3yz² - 3).

Because, (7y²z + 6yz²- 5 - 3yz² + 2)

= 7y²z + (6yz² - 3yz²) - (5 - 2)

= 7y²z + 3yz² - 3 (Answer)

4 0

3 years ago

Suppose you have a binomial distribution with n = 27 and p = 0.6. find p(8 ≤ x ≤ 11).

krek1111 [17]

The answer appears to be 3.335%

4 0

3 years ago

When Carson runs the 400 meter dash, his finishing times are normally distributed with a mean of 65 seconds and a standard devia

just olya [345]

Given Information:

Mean time to finish 400 meter dash = μ = 65 seconds

Standard deviation to finish 400 meter dash = σ = 2.5 seconds

Confidence level = 95%

Required Information:

95% confidence interval = ?

Answer:

$CI = 60 \: to \: 70 \: seconds$

Step-by-step explanation:

In the normal distribution, the empirical rule states approximately 68% of all the data lie within 1 standard deviation from the mean, approximately 95% of all the data lie within 2 standard deviations from the mean and approximately 99.7% of all the data lie within 3 standard deviations from the mean.

The confidence interval for 95% confidence limit is given by

$CI = \mu \pm 2\sigma$

Since approximately 95% of all the data lie within 2 standard deviations from the mean. μ is the mean time Carson takes to finish 400 meter dash and σ is the standard deviation.

$CI = 65 \pm 2(2.5)$

$CI = 65 \pm 5$

$CI = 65 - 5 \: to \: 65 + 5$

$CI = 60 \: to \: 70 \: seconds$

Therefore, the 95% confidence interval is between 60 to 70 seconds

What does it mean?

It means that we are 95% confident that the Carson's mean to finish 400 meter dash is within the interval of (60, 70).

4 0

2 years ago