someone please help these questions are due at 11;59 today please help urgent
1)A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 258.5-cm and a standard deviation of 2.3-cm. For shipment, 30 steel rods are bundled together.
Find the probability that the average length of a randomly selected bundle of steel rods is between 258.5-cm and 259-cm.
P(258.5-cm < M < 259-cm) =
Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
2)
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 127.1-cm and a standard deviation of 1.6-cm. For shipment, 6 steel rods are bundled together.
Find P17, which is the average length separating the smallest 17% bundles from the largest 83% bundles.
P17 =
-cm
Enter your answer as a number accurate to 2 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
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
19) An airplane has 150 passengers. 48% of the passengers are traveling alone.
How many passengers are traveling alone?
Answer:
72 passengers
Step-by-step explanation:
What we know:
There are 150 passengers in total48% of the passengers are travelling aloneTo find how many passengers are travelling alone, multiply 150 by 48%.
48% ⇒ 0.48 as a decimal
150 × 0.48 = 72
Therefore, 72 passengers are travelling alone.
I hope this helps!
Answer:
72
Step-by-step explanation:
4. Tori bought x shares of Mattel stock for m dollars per share. She sold
all of the shares months later for y dollars per share. Express her cap-
ital gain or loss algebraically.
Answer:
mx = y
or
y = mx
Step-by-step explanation:
If she pays m per share, and x represents each share, you will multiply m and x. If she sold all them for the value of y. Then you set mx equal to y.
mx = y
or
y = mx
What is the difference between a short term savings account and a long term savings account?
Answer:
takes advantage of compounding
Step-by-step explanation:
Choose all values of a that make the following equation true: 3/4 = a/36.
A.23
B.27
C.22
D.108/4
9514 1404 393
Answer:
B, D
Step-by-step explanation:
The equation can be solved by multiplying by 36.
3/4 = a/36
a = 36(3/4) = 108/4 = 27
The listed values that make the equation true are 27 and 108/4.
2(T+1)=10 what does t equals ?
Stewart's pencil is 4.1 centimeters more than twice the length of Nora's pencil. Nora's pencil is 5.5 cm
long.
Which equation can be used to find s, the length of Stewart's pencil in centimeters?
AS = 2(4.1) - 5.5
CS = 2(4.1) + 5.5
В
S = 2(5.5) + 4.1
DS = 2(5.5) - 4.1
Answer:
S = 2(5.5) + 4.1
Answer: s= 2(5.5) + 4.1
pleeeaassee First person get brainliest!!!!
Answer:
D. 32 inches 65-33=32 so its 32 inches
Step-by-step explanation:
HELP PLEASE DUE IN 4 MINUTES
Answer:
8/3
Step-by-step explanation:
Answer:
C. 2/3
Step-by-step explanation:
this is the correct answer
double the quotation of a number (x) and 6.
Hey there!
Your answer is [tex]2(\frac{x}{6} )[/tex]
"Double" represents multiplying by 2. "the quotation of a number (x) and 6" represents division. So, we can double [tex]\frac{x}{6}[/tex], which gives us [tex]2(\frac{x}{6} )[/tex].
Have a terrificly amazing day! :D
What is the amplitude of the function?
Answer:
Step-by-step explanation:
The amplitude is half of the range.
a=(maximum-minimum)/2, in this case
a=(2-(-4))/2
a=6/2
a=3
There are 4 classrooms for fifth grade and 4 classrooms for sixth grade at a school. Each classroom has 20 students. A teacher is planning a field trip for some fifth and sixth grade students at this school. The teacher knows the following information:
90% of fifth and sixth grade students have permission to go on the trip.
4 teachers are going on the trip.
The school requires 1 parent volunteer for every 8 students going on the trip.
Part A
How many parent volunteers are needed to go on the trip?
Answer:
18
Step-by-step explanation:
Fifth grade has 80 students and sixth grade has 80 students. so if you get 90% of both then you have 72 and 72. Add and divide by 8 and you have the answer of 18 parent volunteers going.
Answer:
18 pls give brainliest i never get them :(
Step-by-step explanation:
Pls Answer correctly and I’ll give you the brainliest
Answer: x=7
Step-by-step explanation:
plug y into equation...
x-(-4x+23)=12
solve...
x+-1(-4x+23)=12
x+-1(-4x)+-1(23)=12
x+4x-23=12
5x-23=12
5x=35
x=7
A coin will be tossed three times, and each toss will be recorded as heads (H) or tails (T). Give the sample space describing all possible outcomes. Then give all of the outcomes for the event that the third toss is heads. Use the format to mean that the first toss is heads, the second is tails, and the third is heads. If there is more than one element in the set, separate them with commas.
Answer:
Sample space:
{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
Third toss is heads:
{HHT, HTT, THT, TTT}
First toss is heads, second tails and third heads:
{HTH}
Explanation:
In order to find the sample space we need to write all the possible outcomes from tossing the coin three times.You can start by writting all the possible outcomes for the first toss being a head and finish with all the possible outcomes for the first toss being Tails. The number of elements in the sample space can be found by multiplying the possible outcomes of each toss together, so 2*2*2=8
{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
For the third toss being heads we will have one restriction this time. Which is that the third toss is Tails. You can take the elements from the sample space where the third element is a tails. In this case, the number of elements can be calculated by multiplying the possible outcomes for only the first two tosses 2*2=4
{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
For first toss is heads, second tails and third heads there is only one possible way for you to get this outcome so there is only one element to this set.
{HTH}
Solve the inequality:
2x+10≥16
Select one:
x≥13
x≤13
x≥3
x≤3
Answer:
x≥3
Step-by-step explanation:
Answer:
3rd choice down, if you need may other help, just hit me up
what is the resistance of a circuit if it has a voltage of 50v and a current of 8 ? and show me the calculations
Answer:
25/4 ohm
Step-by-step explanation:
Use Ohm‘s Law: V=IR which stands for Voltage = Electric Current * Resistance.
Plug in your given values: 50 = 8R. R = 25/4 ohm.
A snack recipe calls for 1 cup of sunflower seeds. The recipe makes 6 cups of the snack.
Joshua wants to make 24 cups of the snack to bring on a camping trip.
How many cups of sunflower seeds will Joshua need?
Answer:
4
Step-by-step explanation:
Bc if you want 24 servings but it serves 6 you have to multiply it by 4 do it's 1*4 =4 because 6*4 =24
Answer:
4/14 as a fraction
Step-by-step explanation:
i did the test
Does anyone know the answer to this and how to solve it? I’m completely lost-
Answer:
314
Step-by-step explanation:
Does the line cuts through the diameter of the circle?
If so just apply π * 10^2 = 314.15 radius is just 20/2 = 10
A quarter is tossed. How many total number of outcomes are there? total number of outcomes
Answer:
2
Step-by-step explanation:
Answer:
2 is the correct answer please mark brainliest
Step-by-step explanation:
A shoe box is 4 inches wide, 3 inches deep, and 12 inches long. What is the volume?
I know it's 144 but 144 what?
Answer:
144in square
Step-by-step explanation:
What fraction of the catapults flung a marshmallow 30 inches or less?
Answer:
1/4
Step-by-step explanation:
Each whisker represents 1/4 of data
10 cm 5 cm What is the perimeter of this rectangle?
Answer:
30 cm
Step-by-step explanation:
To find the perimeter you will have to use the formula L2 + W2 = A
1. Multiply the length (let's say 10 cm) by 2
a. 20
2. Do the same for width (5 cm)
a. 10
3. Add together
a. 20 + 10 = 30 cm
(There is another way to do it but this is easier)
Hope this helps :)
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 68 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school?
Answer:
170
Step-by-step explanation:
8. What is the area inside of the track?
Which probability indicates that an event will definitely occur?
1/4
1/2
3/4
1
Answer:
1
Step-by-step explanation:
because it is WHOLE where as other shows unsureness.
Simplify the following fraction: 12/8
Answer:
3/2 or 1.5
Step-by-step explanation:
have a good day
72 is what percent of 180
Answer:
.40 or 40 percent
Step-by-step explanation:
can someone help and show the working out please x
For the shower multiply the amount of water per minute by number of minutes:
10.6 x 7 = 74.2 liters.
Calculate volume of the tube and the amount of water in it:
35 x 40 x 120 = 168,000 cubic cm.
Convert to liters:
168,000/ 1000 = 168 liters.
Savings = 168 - 74.2 = 93.8 liters
Is the tank filling or draining
Answer:
the tank is filling- hence the +8
Step-by-step explanation:
Type the expression that results from the following series of step
Start with Z, subtract y, then divide by x.
Answer:
z-y/x
Step-by-step explanation:
then z
then z-y
z-y/x