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andrezito [222]
3 years ago
8

What is the value of n?

Mathematics
1 answer:
Shkiper50 [21]3 years ago
7 0

Answer:

6 meters

Step-by-step explanation:

<u>Intersecting Chord Theorem:</u> When two chords intersect each other inside a circle, the products of their segments are equal.

One chord is divided into two segments with lengths of 15 m and 2 m.

Anothe chord is divided into two segments with measures of 5 m and n m.

Therefore,

5\cdot n=15\cdot 2\\ \\5n=30\\ \\n=6\ m

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3 years ago
The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 270 day
dusya [7]

Answer:

a) 281 days.

b) 255 days

Step-by-step explanation:

Problems of normally distributed samples are 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 = 270, \sigma = 8

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100 - 8 = 92th percentile.

X when Z has a pvalue of 0.92. So X when Z = 1.405.

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

1.405 = \frac{X - 270}{8}

X - 270 = 1.405*8

X = 281

(b) What is the maximum pregnancy length that can be in the bottom 3​% of pregnancy​ lengths?

3rd percentile.

X when Z has a pvalue of 0.03. So X when Z = -1.88

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

-1.88 = \frac{X - 270}{8}

X - 270 = -1.88*8

X = 255

8 0
4 years ago
Solve math problem number 2<br><br> -3y -7 = 2
Kisachek [45]
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Hope this helps!
6 0
3 years ago
Read 2 more answers
I have a practice problem in the calculus subject, I’m having trouble solving it properly
Ainat [17]

The limit of a function is the value that a function approaches as that function's inputs get closer and closer to some number.

The question asks us to estimate from the table:

\lim _{x\to-2}g(x)

To find the limit of g(x) as x tends to -2, we need to check the trend of the function as we head towards -2 from both negative and positive infinity.

From negative infinity, the closest value we can get to before -2 is -2.001 according to the values given in the table. The value of g(x) from the table is:

\lim _{x\to-2^+}g(x)=8.02

From positive infinity, the closest value we can get to before -2 is -1.999 according to the values given in the table. The value of g(x) from the table is:

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From the options, the closest estimate for the limit is 8.03.

The correct option is the SECOND OPTION.

8 0
2 years ago
clark made a model of his house. his house is 30 1/2 feet long. the dimensions of the model were 1/25 the dimensions of clarks a
balandron [24]

Answer:

1.22 feet, or 1  11/50 ft

Step-by-step explanation:

Find 1/25 th of 30 1/2 feet:

 1        61 ft

----- * ---------- = 1.22 feet, or 1  11/50 ft

25      2

The length of the model is  1.22 feet, or 1  11/50 ft

7 0
4 years ago
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