Answer:
1) P(258.5-cm < M < 259-cm) = 8.71%.
2) P17 = 125.57cm
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.
Question 1:
Mean of 258.5-cm and a standard deviation of 2.3-cm, which means that [tex]\mu = 258.5, \sigma = 2.3[/tex]
Find the probability that the average length of a randomly selected bundle of steel rods is between 258.5-cm and 259-cm.
This is the pvalue of Z when X = 259 subtracted by the pvalue of Z when X = 258.5.
X = 259
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{259 - 258.5}{2.3}[/tex]
[tex]Z = 0.22[/tex]
[tex]Z = 0.22[/tex] has a pvalue of 0.5871
X = 258.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{258.5 - 258.5}{2.3}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
0.5871 - 0.5 = 0.0871
0.0871*100% = 8.71%. So
P(258.5-cm < M < 259-cm) = 8.71%.
Question 2:
Mean of 127.1-cm and a standard deviation of 1.6-cm, which means that [tex]\mu = 127.1, \sigma = 1.6[/tex]
Find P17, which is the average length separating the smallest 17% bundles from the largest 83% bundles.
This is the 17th percentile, which is X when Z has a pvalue of 0.17. So X when Z = -0.954.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.954 = \frac{X - 127.1}{1.6}[/tex]
[tex]X - 127.1 = -0.954*1.6[/tex]
[tex]X = 125.57[/tex]
P17 = 125.57cm
A store sold 14 more colored shirts than white shirts. The white shirts cost $9.95 and colors cost $10.50. If a total of $310.60 were sold, how many of each type were sold?
9514 1404 393
Answer:
8 white shirts22 colored shirtsStep-by-step explanation:
Let c represent the number of colored shirts sold. Then c-14 is the number of white shirts sold. The total revenue is ...
10.50c +9.95(c -14) = 310.60
20.45c -139.30 = 310.60 . . . . . . simplify
20.45c = 449.90 . . . . . . . . . . add 139.30
c = 22 . . . . . . . . . . . . . . . . . divide by 20.45
c-14 = 8
22 colored shirts and 8 white shirts were sold.
if a state issued license plates using the scheme of one letter followed by five digits, how many plates could it use
Answer:
786240 different license plates.
Step-by-step explanation:
The required number of plates that can be used is 2,599,974.
Given that,
State-issued license plates use the scheme of one letter followed by five digits, how many plates could it used is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Maxium five-digit number = 99999
Total letters = 26
Number of plates = 26 × 99999 = 2,599,974
Thus, the required number of plates that can be used is 2,599,974.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
OMG?!?!?!!?! HELP!!!?!?!?! PLEASE !?!?!? Thanks to those who do :D <3
A pump can fill 1800KL tank in one hour. How long would it take to fill a 90 KL tank?
Jared bakes 2 apple pies he cuts the 2 pies into pieces each pieces is 1\8 of a pie
So out of the 2 pies there would be 16 pieces
Answer:
there is 16 pieces
Step-by-step explanation:
Soes a square have any parallel lines? If yes how many
Answer:
2 sets of parallel lines
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
2
if im correct can i get crown
Item 8
Select the cone(s) that are similar to a cone with a height of 9 meters and a radius of 3 meters.
cone with a height of 15 meters and a radius of 6 meters
cone with a height of 12 meters and a radius of 4 meters
cone with a height of 6 meters and a radius of 3 meters
cone with a height of 3 meters and a radius of 1 meter
The sum of a number y and 3 is 4.5. Pls help!!!
Answer:
60
Step-by-step explanation:
Answer: 1.5
Step-by-step explanation:
I did 4.5 subtract 3 and got 1.5= y
Lupita y Andrés quieren comprar un bicicleta que ven todos los días en el aparador de la tienda la cual cuesta $3 686 ( IVA incluido 16%) y tiene el 20% de descuento ¿Cuanto pagara por la bicicleta?
5th grade math. Correct answer will be marked brainliest.
Answer: The answer would be (0,3)
Answer:
(0,3)
Step-by-step explanation:
The horizontal line is always x, and the vertical line is always y. You can see that D is 0 to the right and 3 up, so the answer will be (0,3)
Jerome earned an 80% on his math test. If there were thirty-five questions on the test, how many questions did he answer correctly? Explain your work
Answer:
28 questions
Step-by-step explanation:
80% is 80 out of 100, so we can represent it as 80/100.
80 / 100 = y / 35
We need to find the value of y.
To do this we can cross multiply, with a method I like to call the butterfly method.
80 y
100 35
80x35=2800
Therefore, 100 times y equals 2800.
So we divide 2800 by 100.
2800/100=28.
Therefore, y equals 28.
y=28.
Will give brainly Simplify 5/10
If we use 3 eggs in a 15 cm mold-
How many eggs do we use in a 25 cm mold?
a map that created using a scale of 1 inch equals 3 miles shows a lake with an area of 18 square inches was a actual area of the lake
Answer:
Step-by-step explanation:
18in^2(3mi/in)^2
18in^2(9mi^2/in^2)
162 mi^2
A company receives shipments from two factories. Depending on the size of the order, a shipment can be in 1 box for a small order, 2 boxes for a medium order, 3 boxes for a large order. The company has two different suppliers. Factory Q is 60 miles from the company. Factory R is 180 miles from the company. An experiment consists of monitoring a shipment and observing B, the number of boxes, and M, the number of miles the shipment travels. The following probabity model describes the experiment:
Factory Q Factory R
small order 0.3 0.2
medium order 0.1 0.2
large order 0.1 0.1
a. Find PB M(b, m), the joint PMF of the number of boxes and the distance.
b. What is E[B], the expected number of boxes?
c. Are B and M independent?
Answer:
A) PB M(b, m), we have;
b = 1
b = 2
b = 3
B) E(B) = 1.7
C) No they are not independent
Step-by-step explanation:
A) We are told that a shipment can be in 1 box for a small order, 2 boxes for a medium order, 3 boxes for a large order. Thus;
For PB M(b, m), we have;
b = 1
b = 2
b = 3
B) Factory Q is 60 miles from the company. Thus, under factory Q in the table, m = 60
Factory R is 180 miles from the company. Thus under factory R in the table, m = 180
Now;
P_B (b) for b = 1 which is small order is;
P_B (b) = 0.3 + 0.2 = 0.5
P_B (b) for b = 2 which is medium order is;
P_B (b) = 0.1 + 0.2 = 0.3
P_B (b) for b = 3 which is large order is;
P_B (b) = 0.1 + 0.1 = 0.2
Thus;
E(B) = Σb•P_B (b) = (1 × 0.5) + (2 × 0.3) + (3 × 0.2)
E(B) = 0.5 + 0.6 + 0.6
E(B) = 1.7
C) No, they are not independent. This is because from the table we are given, P_B,M at b = 1 and m = 60 is given as 0.3.
Whereas, for B and M to be independent, P_B,M at b = 1 and m = 60 has to be equal to (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1.
Instead what we have is P_M(m) under m = 0.3 as; 0.3 + 0.1 + 0.1 = 0.5. Which means (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1 gives;
0.5 × 0.5 = 0.25 which is not equal to P_B,M = 0.3 at b = 1 and m = 60
Help pls and explain I need 10 mins left
Answer:
32
Step-by-step explanation:
Melanie moved to Toledo on September 14 and returned home for a visit fifteen months later. When did she return home?
A. November 13th
B. December 13th
C. November 14th
D. December 14th
Answer:
D. December 14th.
Answer:
Dec 14 next year
Step-by-step explanation:
just add 15 months lol
What would make this problem no solutions? fill in the blank.
3(3x+2)=9x+ ____
9
2
6
8
12
17
Answer:
6
Step-by-step explanation:
the answer is six
I hope it helps
Kevin buys a dining table and. 8 identical chairs for. $294. The table costs $198. How much does each chair cost? Show as bar models
Answer:
12 dollars per chair
Step-by-step explanation:
294 - 198 = 96
96 divided by 8 = 12
What are the two solutions to 2x2−x−4=0 ? Use the quadratic equation
Choose the symbol that makes a true statement: -15____ -16
=
>
≤
A chemist made six independent measurements of the sublimation point of carbon dioxide (the temperature at which it changes to dry ice). She obtained a sample mean of 196.64 K with a standard deviation of 0.66 K.
1. Use the Student’s t distribution to find a 95% confidence interval for the sublimation point of carbon dioxide.
2. Use the Student's t distribution to find a 98% confidence interval for the sublimation point of carbon dioxide.
3. If the six measurements had been 196.35, 196.32, 196.4 198.02, 196.36, 196.39, would the confidence intervals above be valid? Explain.
Answer:
(195.733, 197.547)
Step-by-step explanation:
Given that:
Mean, m = 196.64 K
Standard deviation, s = 0.66 K
Sample size, n = 6
Confidence interval :
Mean ± margin of error
Margin of error =Tcritical * s/sqrt(n)
Tcritical at α = 98% ; df = 6 - 1 = 5
Tcritical = 3.3648
Margin of Error = 3.3648 * 0.66/sqrt(6) = 0.9066
Confidence interval = 196.64 ± 0.9066
Lower boundary = 196.64 - 0.9066 = 195.733
Upper boundary = 196.64 + 0.9066 = 197.547
(195.733, 197.547)
Given the measurement :
X = 196.35, 196.32, 196.4 198.02, 196.36, 196.39
Mean = ΣX / n = 1179.84 / 6 = 196.64
Yes, confidence interval will be valid as theean obtained is within the calculated interval
i need a reduced mixed number from 12(x-6)=2(x-9)
Step-by-step explanation:
12×x-12×6=2×x-2×9
12x-72=2x-18
12x-2x= -18+72
10x = 54
x =54/10
x = (5)\4/10
A baseball player throws a ball from second base to home plate. How far does the player throw the ball? Include a diagram showing how you got your answer. Decide how many decimal points of accuracy are reasonable. Explain your reasoning.
Answer:
Distance=123.28. Two decimal places is reasonable, because it gives a close approximate to the exact answer, while remaining short and easy to use.
Step-by-step explanation:
Use Pythagorean theorem.
90^2+90^2=c^2
8100+8100=16200
The square root of 16200 is 127.279220614
127.279220614~127.28
6 movie tickets cost $72. At this rate, how much would 2 movie tickets cost? Use any method or strategy to show how you solved the problem below in the space provided. SHOW YOUR WOrk
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 24$
Explanation:
72 / 6 = 12$
12$ for 1 ticket
12 x 2= 24$ for 2 tickets
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Suppose that a high school marching band has 125 members. Of these 125 band members, 41 are seniors, 24 play the trumpet, and 10 are seniors who play the trumpet.
What is the probability that a randomly selected band member plays the trumpet given that he or she is a senior?
Answer:
8%
Step-by-step explanation:
10/125 * 100% = 8%
Given: −3(a–b) < 0, which is the greater: a or b? Give numerical examples.
Answer:
a
Step-by-step explanation:
a = 3
b = 2
divide by -3, change the sign:
(a-b) > 0
a always has to be greater than be to be true
Answer: a > b
Start Learning and Start Growing
A system of equation is shown below.
2x + 3y = 34
y = 5x
What is the value of x + y ?
Answer: 29
Step-by-step explanation:
2 + 3 = 5
34 = 5 = 29
A fair charges $8 to enter and $0.50 per ticket. Write an algebraic expression to represent
the total amount spent.
Misha needs 1.75 yards of green fabric per costume. He will make 13 costumes.
Misha needs____
yards of green fabric in all.
For the blank spaces above the options are 7.4, 14.75, 21, 22.75.
(Btw it’s not 7.4 I already tried that and it was wrong)
Answer:
22.75 is the correct answer
Answer:
wrong question sorry!
Step-by-step explanation:
What's the distance between the points (2,4) and (10,-8)?
Answer:14.4222
Step-by-step explanation: