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inysia [295]
2 years ago
6

. The mean incubation time for a type of fertilized egg kept at a certain temperature is 25 days. Suppose that the incubation ti

mes are approximately normally distributed with a standard deviation of 1 day. Complete parts​ (a) through​(e) below.
(a) Draw a normal model that describes egg incubation times of these fertilized eggs.


(b) Find and interpret the probability that a randomly selected fertilized egg hatches in less than 23 days.


The probability that a randomly selected fertilized egg hatches in less than 23 days is _?__. ​(Round to four decimal places as​needed.)

Mathematics
1 answer:
Paul [167]2 years ago
8 0

Answer:

Step-by-step explanation:

Given that the  mean incubation time for a type of fertilized egg kept at a certain temperature is 25 days.

Let X be the incubation time for a type of fertilized egg kept at a certain temperature is 25 days.

X is N(25, 1)

a) Normal curve is in the attached file

b) the probability that a randomly selected fertilized egg hatches in less than 23 days

=P(X

we convert x into Z score and use std normal distn table to find probability

P(X

i.e. we can say only 2.5% proportion will hatch in less than 23 days.

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On any night, there is a 92% chance that an burglary attempt will trigger the alarm, and a 1% chance of a false alarm, namely th
Semmy [17]

Answer:

Step-by-step explanation:

Step1: P(Burglary) = .001

Step2: P(Alarm|Burglary Happens) = .92

Step3: Probability of alarm going (in total) = P(Alarm) when burglary happens + P(Alarm) when burglary does not happen.

Step4: Use Bayes theorem.

3 0
2 years ago
The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. Find the numbers
e-lub [12.9K]

Answer:

The numbers are 19 and 71.

Step-by-step explanation:

Let x and y represent the two numbers.  Then x + y = 90.  

Also, if we assume that the larger number is y, then y = 3x + 14.

We must solve this system of linear equations.  Since we already have the result of solution for y  (y = 3x + 14), let's use the substitution method to find the solution:

x + y = 90 becomes x + 3x + 14 = 90, or:

4x = 76.  Thus, x = 76/4, or 19.       If x = 19, then y = 3(19) + 14, or y = 71.

The numbers are 19 and 71.

Note that these add up to 90, as they must, and that 71 is 14 more than 3 times 19.

7 0
2 years ago
Which represents the solution to the absolute value equation? 5|2x-4|+1=11
lora16 [44]

simplify-   10x+20+1=11

simplify-   10x+21=11

x=-1

4 0
2 years ago
Diane is riding her bicycle. She rides 19.2 kilometers in 3 hours. What is her speed?
Sedbober [7]

To find speed, divide total distance by total time:

Speed = 19.2 / 3 = 6.4 kilometers per hour


3 0
2 years ago
A statue is mounted on top of a 16 foot hill. From the base of the hill to where you are standing is 77 feet and the statue subt
DanielleElmas [232]

Consider right triangle with vertices B - base of the hill, S - top of the statue and Y - you. In this triangle angle B is right and angle Y is 13.2°. If h is a height of the statue, then the legs YB and BS have lengths 77 ft and 16+h ft.

You have lengths of two legs and measure of one acute angle, then you can use tangent to find h:

\tan 13.2^{\circ}=\dfrac{\text{opposite leg}}{\text{adjacent leg}} =\dfrac{16+h}{77}, \\ \\ 0.2345=\dfrac{16+h}{77},\\  \\ 16+h=0.2345\cdot 77=18.0565,\\ h=18.0565-16=2.0565 ft.

Answer: the height of the statue is 2.0565 ft.

8 0
1 year ago
Read 2 more answers
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