4.4.3 Test (CST) Continuous Probability Distributions
PLEASE HELP!!!
The head-to-tail length of a species of fish is normally distributed, with a mean of 17.4 cm and a standard deviation of 3.2 cm. One fish is 15.3 cm long. What is the z-score of the length of this fish? Round your answer to two decimal places.
A. -0.86
B. -0.66
C. 0.86
D. 0.66
Answers
Answer:
B
Step-by-step explanation:
We have that for a normal distribution, the value of z can be calculated using the following formula:
z = (x - m) / sd
where x is the value to evaluate, m the mean and sd the standard deviation, we have those values x = 15.3, m = 17.4 and sd = 3.2
if we replace we have:
z = (15.3 - 17.4) /3.2
z = -0.65625
if we round to 2 decimal places, it would be -0.66, that is, the answer is B.
A Z-score helps us to understand how far the data is from the mean. The z-score of the given length of this fish is -0.66. The correct option is B.
What is Z-score?A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
z-score = (x-μ)/σ
Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
Given that the length of a species of fish is normally distributed, with a mean(μ) and the standard deviation(σ) is 17.4 cm and 3.2 cm. Therefore, the z-score of the length of this fish is,
z-score = (x-μ)/σ
= (15.3 - 17.4) / 3.2
= -2.1/3.2
= -0.65625
= -0.66
Hence, the z-score of the given length of this fish is -0.66.
Learn more about Z-score here:
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Related Questions
Can someone please help me...
Answers
Cvbgfssvbjj
Color blindness is an inherited characteristic that is more common in males than females. Let F represent female, and C represent red-green color blindness.
P(C) = 0.039 P(F and C) = 0.004 P(F or C) = 0.548
2. Use the Addition Rule or the "OR" formula for probability, substitute the values given, and solve for the probability of a Female.
P(F or C) = P(F) + P(C) - P(F and C)
Answers
Answer:
0.513 = 51.3% probability of being a female.
Step-by-step explanation:
We are given the following formula:
[tex]P(F \cup C) = P(F) + P(C) - P(F \cap C)[/tex]
In which:
Event F: Female
Event C: Red-green color blindness.
Probability of a Female
We have to find P(F), which is given by:
[tex]P(F) = P(F \cup C) + P(F \cap C) - P(C)[/tex]
We are given by:
[tex]P(C) = 0.039, P(F \cap C) = 0.004, P(F \cup C) = 0.548[/tex]
So
[tex]P(F) = P(F \cup C) + P(F \cap C) - P(C) = 0.548 + 0.004 - 0.039 = 0.513[/tex]
0.513 = 51.3% probability of being a female.
solve the following: 8x(x-5)-25=5x(x-6)
Answers
Answer:
Step-by-step explanation:
Answer:
x = -5/3; x = 5
Step-by-step explanation:
8x(x - 5) - 25 = 5x(x - 6); Given
8x^2 -40x - 25 = 5x^2 - 30x; Multiply/Simplify
3x^2 - 10x - 25 = 0; Addition Property of Equality
(3x + 5)(x - 5) = 0; Factor
x = -5/3; x = 5; Solve
Need help with this question
Answers
Answer:
4 : 3
Step-by-step explanation:
QRS to VUT
[tex]\frac{QR}{RS} =\frac{VU}{UT} \\\\\frac{8}{12} =\frac{6}{x} \\\\8x=72\\x=9[/tex]
[tex]\frac{RS}{UT} =\frac{12}{9} =\frac{4}{3}[/tex]
Answer:
Step-by-step explanation:
△QRS:△VUT = 8:6 = 4:3
18. If 4 - 5x = -3, then what is 10x - 8
Answers
Answer:
6
Step-by-step explanation:
[tex]4 - 5x = - 3 \\ \\ - 5x = - 3 - 4 \\ \\ - 5x = - 7 \\ \\ x = \frac{ - 7}{ - 5} \\ \\ x = \frac{7}{5} \\ \\ 10x - 8 \\ \\ = 10 \times \frac{7}{5} - 8 \\ \\ = 2 \times 7 - 8 \\ \\ = 14 - 8 \\ \\ = 6[/tex]
Since 2005 the amount of money spent at restaurants in a certain country has increased at a rate of 8% each year. in 2005, about $280 billion was spent at restaurants. if the trend continues, about how much will be spent at restaurants in 2015?
Answers
It cost Ms. Nelson $245 to buy 5 kids tickets to Disney. How much do the tickets cost per child?
Answers
Answer:
49$
Step-by-step explanation:
245/5
Look at the picture.
Thank u!
Answers
The sum of a number and twice a second number is 29. The second number is ten less than three times the first number. What are the two numbers?
Also, write the two equations.
Answers
Answer:
are you suar when you get the points you will get the answer
What is the area of this figure ?
Answers
I don't see a figure, but to find area use the formula:
A= W x H
(W= width H= height)
You NEVER distribute a coefficient of an absolute value. True or False?
Answers
Answer:
TRUE!!!!!!!!!
Step-by-step explanation:
A rectangular table measures 1 yard by 4 yards. What is the surface area of the table
Answers
For a rectangular solid with length 14 14 cm, height 17 17 cm, and width 9 9 cm
Answer:
5 yard
Step-by-step explanation:
5
Brainlest and points need help math
Answers
Explanation:
14x3.14=43.96in^2
if you were a doughnut shop owner and wanted to find out which doughnut you should make more of, which measure of central tendency would you use.
Answers
Answer:
Mode
Step-by-step explanation:
Measures of central tendency:
The 3 most common measures of central tendency are: The mean, the median, and the mode.
The mean is the average value.
The median separates the lower 50% of the values from the upper 50% of the values.
The mode is the value that appears the most times in the data-set.
In this question:
To find the doughnut you should make more, you should have to know which has the biggest interest from clients, that is, the one that is sold the most, which means that the mode should be used.
Answer:
Mode
Step-by-step explanation:
C/2 - 3 + 6/d when c=14 d=3
Answers
Answer:
6
Step-by-step explanation:
14/2 - 3 + 6/3
Divide 14 by 2 to get 7.
7−3+6/3
Subtract 3 from 7 to get 4.
4+6/3
Divide 6 by 3 to get 2.
4+2
Add 4 and 2 to get 6.
6
What is the volume of the pyramid in the diagram?
25 cm
h = 15 cm
15 cm
20 cm
OA 1,500 cm
OB. 2,500 cm
OC 4.500 cm
Answers
Answer:
Step-by-step explanation:
Wheres the diagram??
Incomplete q
find the sum of the measures of the angles of the figures
Answers
Answer:
Step-by-step explanation:
If the ratio of the interior angle to the exterior angle for a regular polygon is 5:1, find:a. the size of each exterior angle, b. the number of sides of the polygon, c. the sum of the interior angles
hope that help
mark me brill ?
Find the value of -7 + 3(-12) ÷ (-3).
Answers
answer:
5 is the answer
Step-by-step explanation:
I don't know how I got my answer but please try
Question 4
Which of the following describes an equilateral triangle? Mark ALL that apply.
All angles are the same degree measure.
All sides are the same length.
Each angle measures 60°.
No sides are equal in length.
Each angle is a different measure.
Question 5
Answers
Answer:
A, B, & C
Step-by-step explanation:
An equilateral triangle is one that has (A) all equivalent angle measures & (B) all the sides are the same length.
since a triangle is equal to 180º, & since there are 3 angles in a triangle: (C) each angle measures 60º.
Hope this helps! Have a great day!
Question 1 of 10
The graphs below have the same shape. What is the equation of the red
graph?
f(x) = 4 – x²
g(x) = ?
g(x) =
Answers
Notice how on the blue graph all the lines pass through where 4 falls on the graph. This is the same for the red line except they all past through 1. Therefore you should change the 4 in the equation of the blue line to a 1 so it represents the redline.
25 POINTS
Solve this equation PLEASE AND STEPS
4=1/2(2x+4+x)(x-2)
Answers
Answer:
x=−2, 2.6666
Step-by-step explanation:
Let's solve your equation step-by-step.
4=(1/2(2x+4+x))(x−2)
Step 1: Simplify both sides of the equation.
4=3/2 x2−x−4
Step 2: Subtract 3/2x^2-x-4 from both sides.
4−(3/2 x2−x−4)=
3/2 x2−x−4−(3/2 x2−x−4)
−3/2 x2 +x+8=0
For this equation: a=-1.5, b=1, c=8
−1.5x2+1x+8=0
Step 3: Use quadratic formula with a=-1.5, b=1, c=8.
x=−b±√b2−4ac
2a
x=−(1)±√(1)2−4(−1.5)(8)
2(−1.5)
x=−1±√49
−3
x=−2,2.66666666666666666666666666666
sabrina is making a snack mix. She uses these items. peanuts 5/6, chocolate chips 1/3, granola 1/2, raisins 3/4. What is the total weight Sabrina used
Answers
Answer:
29/12
Step-by-step explanation:
5/6+1/3+1/2+3/4
10/12+4/12+6/12+9/12
14/12+6/12+9/12
20/12+9/12
29/12
3\5=6x=?\? i need help
Answers
Answer:
1/10
Step-by-step explanation:
3/5 = 6x = ?/?
?/? = 1/10
6x/6 = (3/5)/ 6 = 1/10
what is the median of 6 8 10 12 12 15 15 20?
Answers
Answer:
I think is 12..........
Answer:
It‘s either 12 or 12.5
Step-by-step explanation:
Find the factors of following:
(i) 8x^2 yy
Answers
Answer:
i•8xy^2yz
Step-by-step explanation:
Remove unnecessary parentheses
Answer:
i) 8x^2 yz=2×2×2×x×x×y×z
Can someone help me with my homeworkkk
Answers
Answer:
1. they're vertical angles but the The missing angle is 140
2. there's no relationship being displayed because there's no image
3 theyre vertical angles
4 is 51
5 is 41
6 is 59
Step-by-step explanation:
All you need to do to find the missing angles is subtract from whatever. so the first one is a straight line so all you would do is 180-40 for the one that kind of looks like an x just know they're going to be the same angle when they're like that and for number four you can see it's a 90° angle so you subtract 90 - 39 so that you can get the answer that way
given F=(10,12,14,16),calculate the number of sunset F
Answers
Answer:
1341
Step-by-step explanation:
10 1 2 3 1 4 1 4 1 4
A football team had 32 players last year. This year, the team increased by 25%. How many players are on the team this year
Answers
Answer:
40 players
Step-by-step explanation:
Well if it's a 25% increase and 32=100% then 25%=8 players because 32/4=8 then add it to 32 to get 40 players
Answer:
40 players
Step-by-step explanation:
32x0.25=8
32+8=40
What is the area of the triangle? Use the formula: Area of a triangle = 1/2bh.How do you find the area of a triangle?
Answers
9514 1404 393
Answer:
4 square inches
Step-by-step explanation:
The only triangle in the figure is 4 in wide and 2 in high. Using these values in the given formula, we find the area to be ...
A = 1/2bh
A = (1/2)(4 in)(2 in) = 4 in²
The area of the triangle is 4 square inches.
Answer:
4 sq in
Step-by-step explanation:
the height of the triangle is 2 inches 2 x 4 = 8 8/2 =4
Sam received 64 dollars and 8 movie tickets for his birthday. He went to a sporting goods store and bought a baseball glove, baseball, and bat. He had 31 dollars left over, how much did he spent on the baseball gear ? can you guys plz do the five step method Step 1: Ask the question. Step 2: Select the modeling approach. Step 3: Formulate the model. Step 4: Solve the model. Step 5: Answer the question.
Answers
Answer:
Sam spent 33 dollars on baseball gear
Step-by-step explanation:
1. he has 64 dollars
2. he is left with 31 dollars
3. 64 - 31 = 33
2. you can check by adding 31+33=64