Answer:
The probability that the average length of a randomly selected bundle of steel rods is between 155.6-cm and 156.2-cm
P(155.6 < x⁻ < 156.2) = 0.174 cm
Step-by-step explanation:
Given sample size 'n' = 11 steel rods
Mean of the Population = 155.1 cm
Standard deviation of the Population = 2.2 cm
Given x⁻ be the random variable of Normal distribution
Let x₁⁻ = 155.6 cm
[tex]Z_{1} = \frac{x^{-} _{1}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{155.6-155.1}{\frac{2.2}{\sqrt{11} } } = 0.7541[/tex]
Let x₂⁻ = 156.2 cm
[tex]Z_{2} = \frac{x^{-} _{2}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{156.2-155.1}{\frac{2.2}{\sqrt{11} } } = 1.659[/tex]
The probability that the average length of a randomly selected bundle of steel rods is between 155.6-cm and 156.2-cm.
P(x⁻₁ < x⁻ <x⁻₂) = P(Z₁ < Z <Z₂)
= P(Z <Z₂) - P(Z<Z₁)
= 0.5 +A(1.629) - (0.5 +A(0.7541)
= A(1.629) - A(0.7541)
= 0.4474 - 0.2734
= 0.174
Conclusion:-
The probability that the average length of a randomly selected bundle of steel rods is between 155.6-cm and 156.2-cm = 0.174
write an equation (a) in slope intercept form and (b) in standard form for the line passing through (-3,6) and parallel x+2y=5
Answer:
y = -1/2x +9/2x +2y = 9Step-by-step explanation:
(b) The given line is in standard form, so the equation you want will be similar, but with a different right-side constant. That constant is found by putting the coordinates of the given point into the left-side expression.
x + 2y = constant
(-3) +2(6) = constant = 9
The standard form equation of the parallel line is x +2y = 9.
__
(a) To put this equation in slope-intercept form, solve for y.
2y = -x +9
y = (-1/2)x +9/2
What is the difference in the length between a 1-1/4-inch button and a 3/8-inch button?
Answer:
7/8
Step-by-step explanation:
1 1/4 - 3/8
5/4 - 38
0/8 - 3/8
7/8
¿Qué es y para que nos sirve la jerarquía de operaciones en la vida cotidiana?
for example, si te pones los zapatos antes que los pantalones, te costará mucho vestirte
The area of the parallelogram is 56 cm2. True or false
Answer:
True
Step-by-step explanation:
A lighthouse is located on a small island 2 km away from the nearest point P on a straight shoreline and its light makes 9 revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 km from P ? (Round your answer to one decimal place.)
Answer:
The speed of light moving along the shoreline when it is 1 km from P is 2.1064 km
Step-by-step explanation:
We are given that a point 1 km from point P on the shoreline would form a a right triangle with the lighthouse, point P, and the point 1 km from point P.
The distance from that point to the lighthouse would be the hypotenuse.
That would also be the radius of the circle the beam of light is making at that point.
To find the hypotenuse
[tex]Hypotenuse^2 = Perpendicular^2 +base^2 \\r^2 = 1^2 +2^2\\r=\sqrt{1^2+2^2}\\r=2.236[/tex]
Circumference =[tex]2 \pi r = 2 \times 3.14 \times 2.236=14.05 km[/tex]
The beam of light is making at point 14.05 km away
One revolution: [tex]\frac{60}{9}= 6.67[/tex] sec per revolution
Speed = [tex]\frac{14.05}{6.67}=2.1064[/tex]
Hence The speed of light moving along the shoreline when it is 1 km from P is 2.1064 km
A fair coin is tossed, and a marble is chosen from the bag whose contents are shown below. 3 red marbles, 3 blue marbles, and 4 green marbles. What is the probability of the coin landing heads up and a blue (B) marble being randomly selected?
Answer:
3/20
Step-by-step explanation:
Red = 3
Blue = 3
Green = 4
Total = 3+3+4 = 10
Pr (red) = 3/10
Pr blue) = 3/10
Pr (green) = 4/10
Where Pr = probability
You either have a head or a tail when tossing a coin
Probability of having head = 1/2
Probability of having tail = 1/2
The probability of the coin landing heads up and blue marble = Probability of head ×Pr (blue)
= 1/2 × 3/10
the probability of the coin landing heads up and blue marble = 3/20
Answer:
3/20
Step-by-step explanation:
Someone please help me! Ill give the brainlest if its correct! A chemical company makes two brands of antifreeze. The first brand is 45% pure antifreeze, and the second brand is 95% pure antifreeze. In order to obtain 50 gallons of a mixture that contains 80% pure antifreeze, how many gallons of each brand of antifreeze must be used?
Answer:
therefore x equals 3
Step-by-step explanation:
g(1) = 1² + 1 = 2
Please answer this question ! thank you so much !! Will give brainliest !!
Answer:
y = -7x + 14
Step-by-step explanation:
m=1/7
m perp = -7
y = mx + b
-7 = -7(3) + b
14 = b
y = -7x + 14
Please help answer this question !! I will give you brainliest !!!
Answer:
y = 7x + 24
Step-by-step explanation:
m = 7
y = mx + b
3 = 7(-3) + b
24 = b
y = 7x + 24
Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
The requried equations that are equivalent to each other are,
(A) 2 + x = 5 (B) x + 1 = 4 (E) -5 + x = -2.
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.
Given equations,
(A) 2 + x = 5
Simplifying the above expression,
x = 5 - 2
x = 3
Similarly, simplify all the equations,
(B) x = 3
(C) x = -3
(D) x = 11
(E) x = 3
Therefore, equations that give x = 3, after simplification is equivalent equations.
Thus, the requried equations that are equivalent to each other are,
(A) 2 + x = 5 (B) x + 1 = 4 (E) -5 + x = -2.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
In the diagram below BD parallel to XY. What is the value of 2
Answer:69
Step-by-step explanation: Because I am smart
Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set y = t and solve for x in terms of t.) −3x + 5y = −19 3x + 4y = 1 4x − 8y = 28
Answer:
x = 3 and y = -2
Step-by-step explanation:
We have the following system:
-3 5 | 19
3 4 | 1
4 -8 | 28
We divide the first row by -3 and it would be:
1 -1.67 | 6.33
3 4 | 1
4 -8 | 28
Now, we multiply by 3 and subtract the second row and we have:
1 -1.67 | 6.33
0 9 | -18
4 -8 | 28
Now, we multiply by 4 and subtract the third row and we have:
1 -1.67 | 6.33
0 9 | -18
0 -1.33 | 2.67
divide the second row by 9:
1 -1.67 | 6.33
0 1 | -2
0 -1.33 | 2.67
multiply the second row by 1.33 and add it to the third row and it remains:
1 -1.67 | 6.33
0 1 | -2
0 0 | 0
multiply the second row by 1.67 and add it to the first row and we have:
1 0 | 3
0 1 | -2
0 0 | 0
Therefore, from here we can deduce that x = 3 and y = -2
Please answer this correctly
Answer:
8
Step-by-step explanation:
18(4/3)=24
6(4/3)=h
h=8
Answer:
h = 8
Step-by-step explanation:
These shapes are similar, so you can set up a proportion to solve for h:
[tex]\frac{24}{18}= \frac{h}{6}[/tex]
Cross multiply:
[tex]\frac{144}{18h}[/tex]
Divide 144 by 18:
h = 8
tg15°=.... Help me please
Answer:
2-sqrt(3)
Step-by-step explanation:
google said
Which property of addition is shown? (3 + 9) + 8 = 3 + (9 + 8)
Answer:
Associative Property of Addition
Step-by-step explanation:
Looking at the expression, you can see that the numbers have been grouped differently. Based on the Associative Property of Addition, the sum of the numbers is the same despite the different pairing.
What two decimals are equivalent to 5.300.
Answer:
Two or more decimal numbers are said to be equivalent decimals, when they name the same value (or same amount). For example, the decimals: 0.2 = 0.20 = 0.200 = 0.2000 etc. Thus by successive addition of zeros after the decimal part of the number after the decimal point means the same number and hence are equivalent. Therefore, the decimals: 5.3, 5.30, 5.300, 5.3000 etc are all equivalent.
Answer:
Two or more decimal numbers are said to be equivalent decimals, when they name the same value (or same amount). For example, the decimals: 0.2 = 0.20 = 0.200 = 0.2000 etc. Thus by successive addition of zeros after the decimal part of the number after the decimal point means the same number and hence are equivalent. Therefore, the decimals: 5.3, 5.30, 5.300, 5.3000 etc are all equivalent.
For each of the following research scenarios, decide whether the design uses a related sample. If the design uses a related sample, identify whether it uses matched subjects or repeated measures. (Note: Researchers can match subjects by matching particular characteristics, or, in some cases, matched subjects are naturally paired, such as siblings or married couples.)John Caccioppo was interested in possible mechanisms by which loneliness may have deterious effects of health. He compared the sleep quality of a random sample to lonely people to the sleep quality of a random sample of nonlonely people.
The design described ______a, b, or c_________________________.
a. does not use a related sample
b. uses a related sample (repeated measures)
c. uses a related sample (matched subjects)
Answer:
The correct option is (a).
Step-by-step explanation:
The dependent t-test (also known as the paired t-test or matched-samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.
We use the paired t-test if we have two measurements on the same item, person or thing. We should also use this test if we have two items that are being measured with a unique condition.
For instance, an experimenter tests the effect of a medicine on a group of patients before and after giving the doses.
In this case the researcher selected a random sample of the sleep quality of lonely people and the random sample of the sleep quality of non-lonely people.
Both the sample in this case are selected from two very different population.
This clearly indicates that the study design is for non-related samples.
Thus, the correct option is (a).
¿Cuál es el Valor presente neto del nuevo equipo? Una empresa de reciclaje tiene el proyecto de hacer una inversión en equipo relacionado con el triturado de hule. Se pronostica que el nuevo equipo tiene un valor en el mercado de $150 000 y representará para la compañía un ahorro de mano de obra y desperdicio de materiales del orden de $50 000 anuales y al final de los cuales se espera una recuperación monetaria de $ 25,000 ( en el periodo cinco serían 75 000) Se toma en consideración que la vida útil estimada para el nuevo equipo es de 5 años. Se recomienda considerar que la empresa ha fijado una TREMA (tasa de rendimiento mínima aceptable) de 20%.
Answer:
so I dont understand Spanish sorry I just need the points ㅠㅠ
Factor 4x^2+12x+5 by applying the distributive property
Answer:
(2x + 5)(2x + 1)
Step-by-step explanation:
4x^2 + 12x + 5
=4x^2 + 2x + 10x + 5
=2x(2x + 1) + 5(2x + 1)
=(2x + 5)(2x + 1)
Hope this helps!
There are 64 students in a speech contest. Yesterday, Ā of them gave their speeches. Today, 7 of the remaining students gave their speeches. How many
students still haven't given their speeches?
M
Answer:
23
Step-by-step explanation:
Ā means the average
So it means the average of 64 gave their speech which should be 64/2 = 32
So 32 gave their speeches yesterday,
7 gave today
Total number that has given is
32 + 7 = 39
Therefore the number remaining are
62 - 39 = 23
what is the following product ? (sqrt12+sqrt6) (sqrt6-sqrt10)
Answer:
6√2-2√30+6-2√15
Step-by-step explanation:
(√12+√6)(√6-√10)=
√12*6- √12*10+√6*6-√6*10=
6√2-2√30+6-2√15
Eggs are sorted into two sizes (large and extra large) at the Cheerful Chicken Dairy. Unfortunately, business has not been good lately, and since the Cheerful Chicken’s 40-year-old egg-sorting machine finally gave up the ghost there have been no funds available to replace it. Instead, Old Fred, one of the firm’s sharper-eyed employees, has been equipped with a "Large" rubber stamp in his right hand and an "X-large" stamp in his left and assigned to stamp each egg with the appropriate label as it goes by on the conveyor belt. Down the line, another employee puts the eggs into either of two hoppers, each egg according to its stamp. The system works reasonably well, all things considered, except that Old Fred has a heavy hand and on the average breaks 30% of the 120 eggs that pass by him each minute. At the same time, a check of the "X-large" stream reveals a flow rate of 70 eggs/min, of which 25 eggs/min are broken.
1. Draw and label a flowchart for this process.
2. Write and solve balances about the egg sorter on
total eggs and broken eggs.
3. How many "large" eggs leave the plant each minute, and what fraction of them are broken?
4. Is Old Fred right- or left-handed?
Answer:
1) Flowchat Attached
2) See the Explanation
3) Large eggs leaving plant per minute = [tex]E_L=50(eggs/min)[/tex]
Percetange of broken = 22%
4) Right Handed
Step-by-step explanation:
1) Flowchart(SEE THE ATTACHMENT)
2) Balance EquationsEgg balance:
[tex]E_{in}=E_X +E_L\\[/tex]
[tex]120(eggs/min)=E_L + 70(eggs/min)\\E_L=120(eggs/min)-70(eggs/min)\\E_L=50(eggs/min)[/tex]
Broken Egg Balance:
[tex](0.3)E_{in}=(x)E_L+ E_X\\0,3\cdot120=x\cdot50+25\\36=50x+25\\50x=36-25\\50x=11\\x=\frac{11}{50}\\x=0.22\\[/tex]
3) Large eggs leaving, % of them broken
Number of large eggs leaving each minute was found by egg balance in Part (2)
[tex]E_L=50(eggs/min)[/tex]
Fraction of them broken was found by broken egg balance in Part (2)
x=0.22
Convert it into a percentage
[tex]x=\frac{22}{100}\cdot10 = 22\%\\[/tex]
4) Fred Right or Left Handed?Percentage of broken eggs in Right hand = 22%
Percentage of broken eggs in Left Hand = [tex]\frac{25}{70}\cdot100=36\%[/tex]
As percentage of broken eggs in his Right hand is less than in his Left Hand, He is RIGHT HANDED.
Solve the triangle for all missing sides, rounded to the nearest tenth, and angles, rounded to the nearest degree.
Answer:
x=32 y=416 M<ABC=158°
Step-by-step explanation:
The life time of a certain brand of bulbs produced by a company is normally distributed, with mean 210 hours and standard deviation 56 hours.what is the probability that a bulb picked at random from this company product will have a life time of at least 300 hours?
Answer:
5.37% probability that a bulb picked at random from this company product will have a life time of at least 300 hours
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this question, we have that:
[tex]\mu = 210, \sigma = 56[/tex]
What is the probability that a bulb picked at random from this company product will have a life time of at least 300 hours?
This is 1 subtracted by the pvalue of Z when X = 300. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{300 - 210}{56}[/tex]
[tex]Z = 1.61[/tex]
[tex]Z = 1.61[/tex] has a pvalue of 0.9463
1 - 0.9463 = 0.0537
5.37% probability that a bulb picked at random from this company product will have a life time of at least 300 hours
Enter a positive common factor ( other than 1) of 35 and 42
What’s the correct answer for this?
Answer:
(AE )(EB)=(CE)(ED)
Step-by-step explanation:
The lines (AE )(EB)=(CE)(ED)
Line AE is congruent with line CE and Line EB is congruent with ED
A line is congruent when they assume the same shape and form but only they can be flipped;
AB and CD are both line segments.
Answer:
fourth option
Step-by-step explanation:
Given two intersecting chords, then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
AE(EB) = CE(ED)
Ann and Tom want to establish a fund for their grandson's college education. What lump sum must they deposit at an 8% annual interest rate, compound annually, in order to have $40,000 in the fund at the end of 10 years?
Answer:
$18,527.74
Step-by-step explanation:
Each year, the fund amount is multiplied by 1+8% = 1.08. After 10 years, it will have been multiplied by that factor 10 times, 1.08^10. For some principal P deposited now, we want ...
P(1.08^10) = $40,000
P = $40,000/1.08^10 ≈ $18,527.74
Which situation shows a constant rate of change? A. The number of play tickets sold compared with the number of minutes before the play starts B. The height of a helicopter over time C. The cost of fabric compared with its length in yards D. The outside temperature compared with the number of glasses of lemonade sold
Answer:
C - The cost of fabric compared with its length over time.
F(x)=x^2 g(x)=x^2-8 we can think of g as a translated (shifted) version of f
Answer:
Shift f 8 units down.
Step-by-step explanation:
The complete question is
[tex]f(x) =x^2 ,g(x) =x^2-8[/tex]. 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 by___ units.
We know that g is obtained by shifting f, k units up or down (depending of the value of k, if positive, the shifting is up, or down otherwise). At any point x, we get g(x) by adding k units to the value of f(x). That is
[tex]g(x) = f(x)+k[/tex]
If we replace the meaning of f,g we get
[tex]x^2-8 = x^2[/tex]
by substracting x^2 on both side we get that k = -8. This means that to get g, we must shift f 8 units down
A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 15 15 in. How can you find the radius if you know the diameter of the sphere? Find the volume of the bowl. Use 3.14 for pi π.
