Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 4.8 millimeters (mm) and a standard deviation of 0.7 mm. For a randomly found shard, find the following probabilities. (Round your answers to four decimal places.) (a) the thickness is less than 3.0 mm
Answer:
0.0051 = 0.51% probability that the thickness is less than 3.0 mm
Step-by-step explanation:
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 4.8 millimeters (mm) and a standard deviation of 0.7 mm.
This means that [tex]\mu = 4.8, \sigma = 0.7[/tex]
(a) Probability that the the thickness is less than 3.0 mm
pvalue of Z when X = 3. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3 - 4.8}{0.7}[/tex]
[tex]Z = -2.57[/tex]
[tex]Z = -2.57[/tex] has a pvalue of 0.0051
0.0051 = 0.51% probability that the thickness is less than 3.0 mm
Helppp meeeee plssss I would me the world
Answer:
its 3 trust me
Step-by-step explanation:
Answer:I’m thinking it’s the first one but someone else might know for sure sorry
Step-by-step explanation:
can anyone answer these? it would be appreciated:)
Answer:
Step-by-step explanation:
4.
A restaurant offers seven kinds of main
courses, nine types of drinks, and four types of
desserts. How many different meals
consisting of a main course, a drink, and a
dessert does the restaurant offer? |
Answer:
252
Step-by-step explanation:
Types of main courses available = 9
Types of drinks offered = 7
Types of deserts = 4
Number of different meals consisting of a main course, a drink and a desert offered
Using the combination rule :
9C1 * 7C1 * 4C1
nCr = n! ÷ (n-r)!r!
So using calculator we obtain :
9 * 7 * 4 = 252
answer please ill give brainlist and ten points
Answer:
The answer is 32.
Step-by-step explanation:
7 * A =
7 * 4 = 28
b^2 =
6^2 = 36
28 + 36 ÷ 9 = 32
So, the answer is 32.
Hope this helps! :)
In a circle, an angle measuring 8.2 radians intercepts an arc of length 30. Find the
radius of the circle to the nearest ioth.
Answer: r=3.659 or 3.7
Step-by-step explanation:
Jason built a model of the Pentagon for a social studies project. He made each outside wall 33 centimeters long. What is the perimeter of Jason’s model pentagon?
Answer:
165 centimeters
Step-by-step explanation:
A pentagon has 5 sides
Each side is 33 centimeters long
5 x 33 = 165
The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, calculate the probability that a randomly selected commuter spends for the following cases.
1. More than 31 minutes commuting one way.
2. Less than 8 minutes commuting one way.
Answer:
1. 0.1635
2. 0.0026
Step-by-step explanation:
The computation of the probability in the following cases are as follows:
1.
Given that
Mean = 25 minutes
ANd, the standard deviation is 6.1 minutes
So here the z score would be
= (31 - 25) ÷(6.1)
= 0.98
Now the probability is
= P(Z>0.98)
= 0.1635
2. the z score would be
= (8 - 25) ÷(6.1)
= -2.79
Now the probability is
= P(Z<-2.79)
= 0.0026
a solid metal ball with a radius of 10 inches is melted and made into smaller spherical metal balls with a radius of 2 inches each. how many smaller spherical balls can be made?
Answer:
5 i think
Step-by-step explanation:
4. What percent of values is between the first and third quartiles?
5. Find the interquartile range.
Answer:
IQR = 2.5
Step-by-step explanation:
Question 5:
IQR=Q1-Q3
IQR=4.75-2.25 = 2.5
Question 4:
Q1=2.5 and Q3=4.75 between those two is the median so, it may be 3.0 or 3% just not positive on question 4.
Can anyone else help on question 4?
Witch is larger? 3/4 or 2/3
Please I need it now!,
Answer:
3/4
Step-by-step explanation:
3/4 2/3
find the lcm of the denominators
which is 12
and divide
Experts believe that 70% of adults in the United States believe it is more enjoyable to be married than single. An ABC News Poll in 2004 surveyed 1,501 randomly selected adults in the United States and asked if they believed it is more enjoyable to be married or single. In the survey, 1,126 people responded that it is more enjoyable to be married.
Choose the best description.
a. All U.S. adults
b. The 1,501 U.S. adults referred to in this problem
c. The 1,126 U.S. adults referred to in this problem
d. All U.S. adults who believe it is more enjoyable to be married than single
Answer:
D. all U.S adults who believe it is more enjoyable to be married than single
Step-by-step explanation:
Sana nakatulong
4(x + 1) + 8 = 24
how do i solve this
Answer: x = 3
First, you can multiply the 4 with the x and the 1:
4x + 4 + 8 = 24
Now, you just add the 4 and the 8 together:
4x + 12 = 24
Subtract 12 from both sides:
4x = 12
Now you divide by 4 from both sides
x = 3
^ and that's your final answer!
Answer:
x=3
Step-by-step explanation:
4x+4+8=24
4x+12=24
4x=12
4x/4=12/4
(x=3)
Plz help just solve quicklyyy
Answer:
d
Step-by-step explanation:
The possible number of solutions obtained for quadratic equations is
A) 2
B) None of these
C) 4
D) 3
Answer:
A
Step-by-step explanation:
I don't know to explain it so this is by khan academy
If the discriminant is positive, we know that we have 2 solutions. If it is negative, there are no solutions and if the discriminant is equal to zero, we have one solution.
At the school fall festival, the student council sold sodas as a fundraiser. The table below shows the number of sodas they sold and the cumulative total money.
Sodas Sold Money Collected
0 $0.00
2 $3.00
5 $7.50
9 $13.50
10 $15.00
Based on the information, what is the price per soda?
A.
$1.50 per soda
B.
$0.50 per soda
C.
$2.25 per soda
D.
$2.50 per soda
Pls help 15 points What is the are of the trapezoid?
Answer:
D) 156 mm²
Step-by-step explanation:
18+8=26
26/2=13
13x12=156
Please help and explain
Answer:
(a)
[tex](2,0)[/tex]
(b)
[tex](0,-2)[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1)= (4,2)[/tex] --- point
[tex]m =1[/tex] -- slope
Solving (a): The zeros of the function
First, we calculate the equation using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 1 * (x - 4) + 2[/tex]
Open bracket
[tex]y = x - 4+ 2[/tex]
[tex]y = x -2[/tex]
The zeros also is: [tex]y=0[/tex]
[tex]0 = x - 2[/tex]
[tex]x =0+2[/tex]
[tex]x =2[/tex]
So, the solution to be is
[tex](2,0)[/tex]
(b) The y intercept is:
Substitute [tex]x=0[/tex]
[tex]y = 0 -2 = -2[/tex]
We have:
[tex](0,-2)[/tex]
Factor the expression.
20b + 35 =
(Factor completely.)
Answer:
I think it would be 5(4b+7)
Step-by-step explanation:
I divided both terms by 5.
PLEASE ANSWER ASAP! NO SCAM LINKS OR REPORTED!
Answer:
Answer is D!
Step-by-step explanation:
y=-3x-2
Substitute x and y values and check
-3(-2) = 6 - 2 = 4
find the surface area of the rectangular prism.
A 90 cm2
B 135 cm2
C 225 cm2
D 270 cm2
Answer:
D. 270 cm2
Step-by-step explanation:
2*(15*5 + 15*3 + 5*3) = 270 cm2
Terry buys an orange for 22p.
He pays with a £1 coin.
How much change does he get?
Give your answer in pence.
what 1 + 2 i have know idea of what it is
Answer:
3
Step-by-step explanation:
Answer:
1+ 2 = 3
Step-by-step explanation:
geometry math help plz answer all questions
someone please help me answer this!!
Answer:
b = 21 ft is the answer.
Step-by-step explanation:
a = 28 ft
b = ?
c = 35 ft
According to the Pythagoras theorem,
a² + b² = c²
28² + b² = 35²
784 + b² = 1225
b² = 1225 - 784
b² = 441
b = 21 ft
∴ b = 21 ft is the length of the missing leg.
Raquel's Brownies
Raquel has 4 brownies. She wants to give an equal share to each
of her friends. How would Raquel share these brownies equally among herself
and 8 friends? How much of the brownies will each person get? Use words,
pictures, and an equation to explain your thinking.
Estimate
Answer:
each person will get half of a brownie
Step-by-step explanation:
4 divided by 8 is 1/2 so you'll have to split each brownie in half and give each person half
Please help with this question
Answer:
I think it's Democrats
Step-by-step explanation:
but I hope I am right
please help!!!!!!!!!!!!!!!!!!!!
prove that the electric field is negative of the gradient of electric potential
Answer:
Electric field points out the direction in which potential energy function is decreasing so it's the negative gradient vector of the potential energy function.
Step-by-step explanation:
^^
What is a good estimate for this angle measurement? A. 10 degrees B. 25 degrees C. 75 degrees D. 95 degrees
Answer:
C. 75 degrees
Step-by-step explanation:
Answer:
75
Step-by-step explanation:
guys i guessed