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3 years ago

Ann started reading at 4:00 and finished at 4:20 p.M. Through what fraction of a circle did the minute hand turn?

Mathematics

1 answer:

nikitadnepr [17]3 years ago

6 0

Answer:

1/3

Step-by-step explanation:

Turned 20 minutes, so the minute hand turned 20 times per hour

There are 60 minutes in 1 hour, so the minute hand turns 60 times per hour

Therefore, the fraction is 20/60, simplified to 1/3

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Find the equation of the line whose x-intercept is 8 and y-intercept is -2. write the equation in slope-intercept form.

goldfiish [28.3K]

Find the slope, m = (change in y) / (change in x)

0-(-2)
Here, m = ------------- = 1/4
8 - 0
y-k = m(x-h) becomes y+2 = (1/4)(x), or y = (1/4)x - 2

Then the desired equation is y = (1/4)x - 2 (slope-intercept form)

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3 years ago

Read 2 more answers

X^2-14x+58 finding vertex by completeing the square

prohojiy [21]

Step-by-step explanation:

x² - 14x + 58

= (x - 7)² + 9.

Hence the vertex is (7, 9).

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2 years ago

A game room has a floor that is 100 feet by 30 feet. A scale drawing of the floor on grid paper uses a scale of 3 units:5 feet.

Ghella [55]

3 units/ 5 feet = 60 units/ 100 feet
3 units/ 5 feet = 18 units/ 30 feet

The dimensions of the scale drawing are 60 units by 18 units.

Hope this helps!

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2 years ago

Please help me with 10

romanna [79]

Answer:

yes the answer is he does make sense

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3 years ago

In a recent contest, the mean score was 210 and the standard deviation was 25. a) Find the z-score of John who scored 190 b) Fin

denpristay [2]

Answer:

a) $Z = -0.8$

b) $Z = 2.4$

c) Mary's score was 241.25.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 210, \sigma = 25$