Chords WP and KZ intersect at point L in the circle shown

The lengths of text messages are normally distributed with an unknown population mean. A random sample of text messages is taken

anygoal [31]

Answer:

95% of the text messages have length between 23 units and 47 units.

Step-by-step explanation:

We are given the following in the question:

The lengths of text messages are normally distributed.

95% confidence interval:

(23,47)

Thus, we could interpret the confidence interval as:

About 95% of the text messages have length between 23 units and 47 units.

By Empirical rule for a normally distributed data, about 95% of data lies within 2 standard deviations of mean , thus we can write:

$\mu - 2\sigma = 23\\\mu +2\sigma = 47\\\Rightarrow \mu = 35\\\Rightarrow \sigma = 6$

Thus, the mean length of text messages is 23 units and standard deviation is 6 units.

8 0

1 year ago

Read 2 more answers

Lonzell said the function shown in the graph is positive on the interval (−,) and negative on the interval (−,−)open negative 5

Nezavi [6.7K]

Answer:

The positive graph is on the points (-5,-4) and (2,5)

And, negative would be (-4,2)

Step-by-step explanation:

As it seems that fgraph shows positive in the case when it is over x-axis, and negative when it is below y-axis

As on the interval (-1,5)

The graph is below x-axis i.e. on (-1,2)

And, over x-axis i.e. on (2,5)

At this point Lonzell’s is not correct

As on the interval (-5,-1)

The graph is below x-axis i.e. on (-4,-1)

And, over x-axis i.e. on (-5,4)

At this point Lonzell’s is not correct

So,

The positive graph is on the points (-5,-4) and (2,5)

And, negative would be (-4,2)

5 0

2 years ago

Alice is riding a Ferris wheel, where t is time in seconds. Suppose the Ferris wheel is 22 m tall. Let h(t) = 11cos(12t) represe

Soloha48 [4]

Answer:

Alice reaches 11 metres below the centre as lowest height.

Step-by-step explanation:

Cosine is a bounded function between -1 and 1, so that the lowest height that Alice achieves in Ferris wheel is:

$h(t) = 11\cdot \cos (12\cdot t)$

Where:

$t$ - Time, measured in seconds.

$h(t)$ - Height with respect to centre, measured in metres.

If $\cos (12\cdot t) = -1$ , then:

$h_{min} = 11\cdot (-1)$

$h_{min} = -11\,m$

Alice reaches 11 metres below the centre as lowest height.

7 0

2 years ago

F(x)=3x 2 +24x+48f, left parenthesis, x, right parenthesis, equals, 3, x, squared, plus, 24, x, plus, 48 What is the value of th

neonofarm [45]

Answer:

The discriminant of function is 0. There one distinct real number zero of $f(x)$ (repeated roots).

Step-by-step explanation:

We are given the following function in the question:

$f(x)=3x^2 +24x+48$

We have to calculate the discriminant of the function.

Comparing to

$f(x) = ax^2+bx+c$

We get,

$a = 3\\b=24\\c = 48$

Discriminant is given by:

$D = b^2-4ac$

Putting values, we get,

$D = (24)^2-4(3)(48) = 0$

Thus, the discriminant of function is 0.

Since, the discriminant is zero, the function have repeated real roots. Thus, one distinct real number zero of $f(x)$ .

3 0

2 years ago

A rectangular national sight-seeing park with length of 2 miles and width of 3 miles allows a maximum capacity 250 people. Find

Leya [2.2K]

Answer:

41.67

Step-by-step explanation:

6 0

2 years ago