Answer:
a) The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex]
b) 34% of whale pregnancies will have a gestation period between 13.8 and 15 months.
c) Since when [tex]X = 21[/tex], [tex]Z = 5 \geq 2[/tex], it would be unusual for a whale to have a gestation period of 21 months.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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.
If [tex]Z \geq 2[/tex] or [tex]Z \leq -2[/tex], the measure X is considered to be unusual.
According to a website, the mean gestation period for a whale is 15 months. Assume the distribution of gestation periods is Normal with a standard deviation of 1.2 months.
I corrected to 1.2 because it is what makes sense considering the questions.
This means that [tex]\mu = 15, \sigma = 1.2[/tex]
a. Find the standard score associated with a gestation period of 13.8 months
This is Z when X = 13.8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{13.8 - 15}{1.2}[/tex]
[tex]Z = -1[/tex]
The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex]
b. Using the Empirical Rule and your answer to part a, what percentage of whale pregnancies will have a gestation period between 13.8 and 15 months?
The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex], which means that it is one standard deviation below the mean.
The normal distribution is symmetric, which means that of the approximately 68% of measures within one standard deviation of the mean, 68%/2 = 34% are within one standard deviation below the mean(in this case, 13.8) and the mean(in this case 15), and 34% are within the mean and one standard deviation above the mean.
So 34% of whale pregnancies will have a gestation period between 13.8 and 15 months.
c. Would it be unusual for a whale to have a gestation period of 21 months? Why or why not?
Let's find the z-score
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{21 - 15}{1.2}[/tex]
[tex]Z = 5[/tex]
Since when [tex]X = 21[/tex], [tex]Z = 5 \geq 2[/tex], it would be unusual for a whale to have a gestation period of 21 months.
In circle P with m NPQ = 46 and NP=20 units find area of sector NPQ.
Round to the nearest hundredth.
i will give brainly
Answer:
Round to the nearest hundredth.
Answer:
160.57
Step-by-step explanation:
The formula is:
[tex]angle/360 *\pi *radius^2[/tex]
Because you find the total area of the circle, but the sector only represents NPQ/360 so you have to multiply the area with that.
[tex]46/360 * \pi *20^2[/tex] = [tex]23/180 * \pi *400[/tex]
= [tex]160.57029...[/tex]
Rounded to the nearest hundredth this would be 160.57
Which statement best describes the point (2,-5)
A.5 units to the left and 2 units up from the origin
B. 5 units to the right and 2 units up from the origin
C. 2 units from the left and 5 units down from the origin
D. 2 units to the right and 5 units down from the origin
HELPPPPPP!!!!!!!
2 ft 10 inches of 3 1/2 ft
Answer0.7
Step-by-step explanation:In math of mostly means to multiply ,so 2/10x3 1/2=0.7
This season, the probability that the Yankees will win a game is 0.56 and the probability that the Yankees will score 5 or more runs in a game is 0.61. The probability that the Yankees lose and score fewer than 5 runs is 0.32. What is the probability that the Yankees will lose when they score fewer than 5 runs? Round your answer to the nearest thousandth.
The probability that the Yankees will lose when they score fewer than 5 runs is 0.821 (nearest to the thousandth).
What is the chain rule in probability for two events?For two events A and B:
The chain rule states that the probability that A and B both occur is given by:
[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]
Lets suppose here that:
A = event that Yankees win a gameB = event that Yankees will score ≥ 5 in a gameSuppose A' and B' are their complementary events, then we have:
A' = event that Yankees will lose a gameB' = event that Yankees will score < 5 in gameThen, by the given data, we have:
[tex]P(A) = 0.56\\P(B) = 0.61\\P(A' \cap B') = 0.32[/tex]
We've to find [tex]P(A' | B')[/tex]
Using chain rule, we have:
[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')}[/tex]
Since P(B') = 1-P(B) = 100.61 = 0.39, therefore, we get:
[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')} = \dfrac{0.32}{0.39} \\\\P(A'|B') \approx 0.821[/tex]
Thus, the probability that the Yankees will lose when they score fewer than 5 runs is 0.821
Learn more about probability here:
brainly.com/question/1210781
DUE IN 3 mins
C-9 at C= 16
Answer:
7
Step-by-step explanation:
plug 16 in for c so it's 16 -9 = 7
Help me help me help me pls pls pls
Answer:
x = 121
Step-by-step explanation:
all angles sum = 540
87 + 92 + 105 + 135 = 419
540 - 419 = 121
resulve las siguientes operaciones matematicas en tu cuadernk
Dijo "Resuelva las siguientes operaciones matemáticas en su cuaderno", pero no indicó su cuaderno en la pregunta. Por favor arregle esto.
The volume of a suitcase if 8,556 cubic inches. It is 32 inches long and 15.5 inches high. What is width of the suitcase?
Answer:
17.25
Step-by-step explanation:
8556 / 32 / 15.5 = 17.25
Click on the pic and pls help!!
Answer:
x = 43.9
Step-by-step explanation:
sin 20° = 15/x
0.3420 = 15/x
x = 43.86
PLEASE HELP!
Please help me I don’t understand how to do this and it has to be done by tonight!!!
Answer:
these are notes i wrote in geometry I'm not sure if this will help. it's been a few months since i did this
Ryan made small
cherry pies with
a diameter of 2
in. What was the
area of one pie?
Answer:
area of one pie : πr² = π d²/4 = π× 2²/4 = π ≈ 3.14
Giselle uses 2 ounces of pasta to make 2 over 3 of a serving of pasta. How many ounces of pasta are there per serving
20% of __ = 18 Please help me Thank you Sooo Much
Answer: 20% of 90 = 18
Answer:
90%
Step-by-step explanation:
i hope this helps:)
3+4-8+9-8+78+99-7999+8799+0×6997+90÷797883+677_5=
can someone please help me find the area of a regular pentagon of radius 4m? thank you :(
Answer:38.07
Step-by-step explanation:
If you don't have the apothem value, you will need more information to find the area accurately. The radius alone does not provide enough information to find the area of the regular pentagon.
To find the area of a regular pentagon with a given radius, we need to know the apothem (the distance from the center of the pentagon to the midpoint of one of its sides) in addition to the radius. However, you mentioned only the radius, and it is not sufficient to directly find the area.
If you have the apothem value, you can use the following formula to calculate the area of a regular pentagon:
Area = (5/4) * apothem * side length
To know more about area:
https://brainly.com/question/28995006
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Help me out thank youuuu sooo much !!!
Answer/Step-by-step explanation:
There are actually two methods that can be used to calculate AC (x):
1. Using Pythagorean Theorem
2. Using Trigonometric Function
1. Using Pythagorean Theorem, we have:
x = √(15² + 20²)
x = √625
x = 25 units
2. Using Trigonometric Function:
Reference angle = 37°
Adjacent = 20
Opposite = 15
Hypotenuse = x
Apply SOH:
Sin 37 = Opp/Hyp
Sin 37 = 15/x
x × Sin 37 = 15
x = 15/sin 37
x = 24.9246021 ≈ 25 units (nearest whole number)
(20 points)
What is the measure of ^1?
☁︎
A:230
☁︎
B:130
☁︎
C:125
☁︎
D:115
Step-by-step explanation:
I want to say B) 130 but not 100% sure. Sorry if my answer is wrong.
The measures of the angles of a triangle are shown in the figure below. Solve for x
Answer:
x=17
Step-by-step explanation:
4x+8+44+60=180
4x+112=180
4x=180-112
4x=68
x=68/4
x=17
Mast
Gabi tried to solve an equation step by step.
Skill
= 80
10
algeb
1
j
· 10 = 80 · 10 Step 1
10
ne-
j = 800
Step 2
Find Gabi's mistake.
ne-
Choose 1 answer:
cual
Answer:
the answer is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
What are the values of the function y= 3x - 4 for x = 0,1,2, and 3?
A. -4, -1, 2, and 5
What is the value of (52 - 10) = 5 x 23?
А
0
B
18
C
24
D 40
Answer:
I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer.PLS HELP! (THE QUESTION IS A PICTURE CLICK ON THE QUESTION FIRST)
Answer:
Step-by-step explanation:
B.28.1
Answer:
It's BBBBBBBBBBBBBBBBB
Three friends were comparing how much money they each have saved. Sami has $41.79. Charlotte has $38.91. Celeste has $41.68. Which list shows the names in order from least amount saved to greatest?
Sami, Celeste, Charlotte
Charlotte, Celeste, Sami
Celeste, Sami, Charlotte
Charlotte, Sami, Celeste
Answer:
B
Step-by-step explanation:
i got it right
15% of 20 is ??? please helpp
Answer:
I believe it is 3
Step-by-step explanation:
Answer:
the answer is 3 brainlest plz
Step-by-step explanation:
is travelling to another country.
He flies for 7 hours at an average speed of 990 km/h on one plane.
He then flies for 6 hours 15 minutes at an average speed of 920 km/h on a second plane.
What is the total distance, in km, he travelled by plane?
Answer:
First time=7hours
First speed=990km/hour
First distance=first time×first speedD=(
S×T)
D=990km/hr×7hrs
D=6930km.
Second time=6&14min.
Second speed=920km/hr
Second distance=second speed×second time (D=s×t)
D=920km/hr×6&14min.
D=1500
Total distance=6930+1500
=8430
Help me pls this is urgent ;>
Answer:
[tex] \frac{ |a + x| }{2} - \frac{ |a - x| }{2} \\ \\ = \frac{ | - 2 - 6| }{2} - \frac{ | - 2 + 6| }{2} \\ \\ = \frac{ | - 8| }{2} - \frac{ |4| }{2} \\ \\ = \frac{8}{2} - \frac{4}{2} \\ \\ = 4 - 2 = 2[/tex]
Find each missing measure, please help
Answer:
well i can't find the missing measure if the actual measure is missing
Step-by-step explanation:
Rewrite the number in Standard form
6 x 10^8
Answer:
10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100,000,000 x 6 = 600,000,000.
Answer:
600000000
Step-by-step explanation:
10^8=100000000
6×100000000=600000000
hope this helps
Please help!!!!!!!!!!
Answer:
557.8 square inches
each square is 5". the base is 4x4 squares- so 20 inches square. 20x20= 400sq inches.
the semicircle at the top is 20 inches in diameter, which makes the radius 10 inches.
pi× 10^2= 314.16.
duvide that by 2 to get a semicircle- 157.8
so, the total area is the 400+ 157.8, for a total area of 557.8 square inches
Help rn ahhhh please
Answer:
117π or 367.56634047
Step-by-step explanation:
Volume = π × r² × h (r=radius and h=height)
Volume = π × 4² × 13
Volume = π × 9 × 13
Volume = π × 117
Volume = 117π
