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.
Convert 50°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree,
Answer:
10 degree Celsius
Step-by-step explanation:
I need help please.
Answer:
[tex] {120m}^{3} [/tex]
Remember to find the volume it is the
length x height x breadth
The total surface area is _ square inches
An ice cream shop sells two type of cones: cake cones for $1.75 and waffle cones for $3.25. on tuesday, they sold 50 more waffles cones than cake cones. The total money they collected on cone sales on tuesday was $1422.50. How many cake cone did they sell on tuesday? ( this is a matrix word problem)
find the standard form of the equation of a parabola with a vertex at the origin and with a focus at (-4,0) and a directrix at x=4
Help please I will give 50 points
[tex]7(6 + y)[/tex]
[tex](y \times 6) + (y \times 7)[/tex]
[tex]6(y + 7)[/tex]
[tex](y \times 6) {y}^{2} [/tex]
Which expression represents the number 142000 in Scientific Notation ?
Answer: 1.42 x 10^5
Step-by-step explanation:
Scientific Notation usually express in the form of [tex]c* 10x^{n}[/tex], where c is between 1 and 9.
142000
= 1.42 x 10^5
The table shows a function. Is the function linear or non linear
Answer:
To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!
Abraham's soccer team won 2/3 of its games. The team won 14 games,
how many games did they play this season?
Answer: 21
Step-by-step explanation:
First, divide 14 by 2 which is 7. Then multiply 7 by 3 because it's 2/3 so that is 21. The answer is 21
I'll give points and brainalist for answer / explanation
Answer:
D. 28.26 in²
Step-by-step explanation:
Area of a circle= πr²
r= 3
π= 3.14
A= (3.14)(3)²
A= 28.26 in²
Ayuda por favor urge
Answer:
x = 4
Step-by-step explanation:
x + x + 6 + 6 = x + 8 + 8
2x + 12 = x + 16
2x + 12 - 12 = x + 16 - 12
2x + 0 = x + 4
2x = x + 4
2x - x = x + 4 - x
2x - x = x - x + 4
x = 0x + 4
x = 0 + 4
x = 4
Chequando Respuesta :
x = 4
x + x + 6 + 6 = x + 8 + 8
(4) + (4) + 6 + 6 = (4) + 8 + 8
4 + 4 + 6 + 6 = 4 + 8 + 8
8 + 6 + 6 = 12 + 8
14 + 6 = 20
20 = 20
Ambos lados de la ecuacio'n son igual cuando x = 4, y esto confirma que la respuesta es corecta, que x = 4 en este problema.
. You draw a card from a well-shuffled deck of 52 cards. If you get a red card, you win nothing. If you get a spade, you win $4. For any club, you win $8 plus an extra $10 for the ace of clubs. Answer parts (a) and (b). 2(a). Create a probability model for the amount you win at this game. (Enter probabilities as reduced fractions)
Answer is in the file below
tinyurl.com/wtjfavyw
giving the brainliest answer to who ever can help me out!!! AND has the correct answer need help asap!?!!
Answer:
caca water
pee water
Step-by-step explanation:
f(x)=x² g(x) = (x + 3)2 +5 We can think of g as a translated (shifted) version of f. Complete the description of the transformation. Use nonnegative numbers. To get the function g, shift f up/down by units and to by units. the right/left
Answer:
Me puedes informar mas?
Find the measure of 41.
s
839
41
41 = [?]
<1=97°
steps:
<1+83=180 co interior angle
<1=180-83=97°
Suppose you are taking the bus home, and can take either Route 51 or Route 82. You know that the Route 82 will arrive at the bus stop in exactly 5 minutes, but because Route 51 is unreliable, you believe that the amount of time until it arrives is uniformly distributed between 0 and 20 minutes. You take the first bus that arrives. Let T be the number of minutes you wait until you board a bus. Find E[T].
Answer:
E[T] = 10
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the expected value of the uniform distribution is given by:
[tex]E = \frac{a+b}{2}[/tex]
Uniformly distributed between 0 and 20 minutes.
This means that [tex]a = 0, b = 20[/tex]
Let T be the number of minutes you wait until you board a bus. Find E[T].
This is
[tex]E[T] = \frac{a + b}{2} = \frac{0 + 20}{2} = 10[/tex]
E[T] = 10
I’ll give points + brainalist for answer / explanation
Answer:
C. the circumference of a circle
Step-by-step explanation:
The perimeter of a square is the length of the outside, which is found by adding all the side lengths. The circumference of a circle is similar because it is also the length of the outside of the shape.
j varies directly with h and u
Answer:
Im sorry in order for us to answer this question you have to use real words and add details to your question and with complete sentences.
Thank You
estimate and calculate 18686+17544?
Answer:
I think its gona be aroundddddddddddddddddddd 30,000
oh rats.. i was in that area tho ........36,230
solving a system of linear equations algebraically:
Question:
find the value of x in the solution to the system of equations shown. y=12x+7
y=-6x+25
answer choices:
x=1
x=1.78
x=3
x=5.33
It was so easy xD
its x=1
y=12×1+7
y=-6×1+25
=19
WILL GIVE BRAINLIEST!!
How do u find perimeter and area of paralellogram. Also how to give brainliest.
Answer:
It can be shown that opposite sides of parallelogram must be congruent , that opposite angles are also congruent , and that consecutive angles are supplementary . ...
The perimeter of a parallelogram is the sum of the lengths of its four sides. ...
Therefore, the perimeter is 6+10+6+10 or 32 cm.
Step-by-step explanation:
Answer:
Perimeter is always the same, add the outer lengths of all the sides. A+B+A+B=T
Or
2(A+B)
Area is just B * H when you have the height available.
You can also use a trig function A = ab sin (x)
Sally has a clock with a minute hand that extends to the clock's edge. The 10 points
minute hand is 5.25 inches long. What is the CIRCUMFERENCE of the
clock? *Hint* the minute hand is the radius. *
16.485 inches
32.97 inches
about 86.55 inches
None of the above
Answer:
no se ingles así que no se pero te doy gracias por los puntos
help plz ill give extra points
Find the coordinates of the point (a, b).
a = ?
(0, 1)
0 1
2
(a, b)
O v2
O v2
2.
1(-1,0)
रा
45°
DONE
(1,0)
b= ?
1
O v2
O v2
2.
Зл
2
(0, -1)
9514 1404 393
Answer:
(a, b) = (√2/2, √2/2) . . . . . choice C in each case
Step-by-step explanation:
The points on a unit circle will not have coordinate values greater than 1 (eliminates √2). The coordinates will only be 0 or 1 if the point is on one of the axes. The coordinates (a, b) of the point at 45° are ...
(cos(45°), sin(45°)) = (a, b) = (√2/2, √2/2)
The coordinate of point (a, b) is (√2/2, √2/2)
Coordinate of a point on a circleNote that the points on a unit circle will not have coordinate values greater than 1.
The coordinates will only be 0 or 1 if the point is on one of the axes. The coordinates (a, b) of the point at 45° is given according to the coordinate point (cos45, sin45)
a = cos45 = √2/2
b = sin45 = √2/2
Hence the coordinate of point (a, b) is (√2/2, √2/2)
Learn more on unit circle here: https://brainly.com/question/23989157
Which statement are true regarding undefinable terms in geometry
Answer: A plane has two dimensions because it is a flat surface that has length and width but no depth.
Answer:
Surface answer
Step-by-step explanation:
Because the surface has a length and width and does not have a depth
Answer the question
Answer:
I think it's C
Step-by-step explanation:
Hope this helps you
A city map is laid out on a coordinate grid with City Hall at the origin. Each unit on the grid represents a distance of one city block.
Max spends the day running errands and visiting the following locations before heading back to his apartment.
Location Coordinates
Post Office (–15, –4)
Library (–15, 16)
Police Station (–3, 16)
Bank (–3, 8)
Coffee Shop (4, 8)
Pet Store (4, –4)
Grocery Store (–8, –4)
Which of the following options has a distance of 12 city blocks? Select three that apply.
HURRY
Answer:its library to police station
Step-by-step explanation:
Which of the following is an odd function? • ) 1x) = 3x2 + x Nx) = 4x +7 1x) = 5x + 9 1x)= Br + 2x
Which shows a rational number plotted correctly on a number line?
Answer:
none of the 3 showing are correct
Step-by-step explanation:
Answer:
Pretty sure its A hope it helps! But i have to get back to my test .
Step-by-step explanation:
The midpoint between x and 27 is -3. Find x.
Answer:
-33
Step-by-step explanation:
27-(-3)=30
-3-30=-33