Answer:
they will have to sample 60 machined metal parts
Step-by-step explanation:
Given that;
Margin of Error E = 6.74
at 90% Confidence Interval, z = 1.645 { from table }
Range R = maximum range - minimum range = 220 - 93 = 127
standard deviation σ = R / 4 = 127/4= 31.7500
How many machined metal parts would they have to sample n = ?
to get our sample size, we use the following formula
n = [ zσ / E ]²
we substitute in our values
n = [ 1.645 × 31.7500 / 6.74 ]²
n = [ 52.2287 / 6.74 ]²
n = [ 7.7490 ]²
n = 60.047 ≈ 60
Therefore, they will have to sample 60 machined metal parts
You can use the margin of error with the z value and standard deviation to get the result.
The number of metal machine parts would be 60.
Given that:The confidence level needed is 90%The margin of error is 6.74The cost of metal parts ranges from 93 to 200To find:The number of machined metal parts that have to be sampled.
Finding the range of the distribution:Range = Max. value - min. value = 220 - 93 = 127
Finding the standard deviation:The standard deviation is approximately the quarter of the range of the distribution.
Thus, [tex]\sigma = 127 \div 4 = 31.75[/tex]
For 90% confidence, the z value is 1.645 (from z tables)
Thus, from the formula for size of sample, we have:
[tex]n = (\dfrac{z\sigma}{E})^2 = (\dfrac{1.645 \times 31.75}{6.74})^2 = (7.749)^2 \approx 60[/tex]
The number of metal machine parts would be 60.
Learn more about sample size here:
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HELP! Whoever gets it right gets brainliest!!
Answer:
D infitently Many
Step-by-step explanation:
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.
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Answer:
-9
Step-by-step explanation:
What is the value of the expression ?
[tex]16 - 3 \times 5 {}^{2} \div 5[/tex]
[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{1} [/tex]
[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{ - 1} [/tex]
[tex]16 - 3 \times 5 {}^{2 - 1} [/tex]
[tex]16 - 3 \times 5 {}^{1} [/tex]
[tex]16 - 3 \times 5[/tex]
[tex]16 - 15[/tex]
[tex]1[/tex]
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#CarryOnLearning
In which step did the veterinarian make the first error?
Step 1
Step 2
Step 3
Step 4
Answer:step 3 Step-by-step explanation: because it is right and i took the test edge 2021
Write an expression for: the product of 4 and a number. Use x as the variable. Who ever gets it correct first gets brainliest.
A recycling bin in the shape of a rectangular prism has a volume of 9,720 cubic
inches. The base area of the recycling bin is 324 square inches. What is the height
of the recycling bin?
A. O 10 inches
B. O 15 inches
C. O 30 inches
D. O 36 inches
Answer:
YOUR MOM IS THAT BIG
Step-by-step explanation:
LOL
pls help!!!! i will give brainly!!!!
Two quantities are related, as shown in the table:
x y
2 3
4 4
6 5
8 6
Which equation best represents the relationship? (4 points)
y = 1 over 2x + 2
y = 1 over 2x + 1
y = x + 2
y = 2x + 1
9514 1404 393
Answer:
(a) y = 1/2x + 2
Step-by-step explanation:
The only equation that matches the first table entry is ...
y = 1/2x +2
3 = (1/2)(2) +2 . . . . first table entry
6
x
−
5
y
=
14
Find
x
when
y
=
2
Answer:
4
Step-by-step explanation:
A game is packaged in a box. Each game cube has a side length of 3 inches. How many
games can be packed inside of a box whose dimensions are 5 foot by 3 foot by 2 feet?
Answer:
n = 120
Step-by-step explanation:
Given that,
Side length the cube = 3 inches = 0.25 feet
We need to find the number of games can be packed inside of a box whose dimensions are 5 foot by 3 foot by 2 feet.
Let there are n games.
[tex]n=\dfrac{\text{Volume of box}}{\text{Volume of the game}}\\\\=\dfrac{5\times 3\times 2}{0.25}\\\\n = 120[/tex]
Hence, there are 120 games packed inside the box.
an industry representative claim that 60% of all satellite owners subscribers movie channel. suppose that representative’s claim is true and also suppose that 20 dish owners are randomly selected. find the probability that: (i) none of the dish owners subscribes movie channel (ii) exactly 3 dish owners subscribe movie channel (iii) more than 17 dish owners subscribe movie channel.
Answer:
1.099 * 10^-8 ; 4.23 * 10^-5 ; 0.0036
Step-by-step explanation:
Given :
p = 0.6
Sample size, n = 20
P(x = 0)
Using binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
1 - p = 1 - 0.6 = 0.4
P(x = 0) = 20C0 * 0.6^0 * 0.4^20
P(x = 0) = 1 * 1 * 1.099511627776E−8
P(x = 0) = 1.099 * 10^-8
2) Exactly 3;
P(x = 3) = 20C3 * 0.6^3 * 0.4^17
P(x = 3) = 1140 * 0.216 * 0.00000017179869184
P(x = 3) = 0.0000423037098786816
P(x = 3) = 4.23 * 10^-5
3.) More than 17
P(x > 17) = P(x = 18) + P(x = 19) + P(x = 20)
Using calculator :
P(x > 17) = 0.0036
I will give brainiest to whoever answers correctly !!
Answer:
2.4
Step-by-step explanation:
The formula you would use is: A = P(1 + rt)
P is the principal which is $270
r is the interest rate
t is the time in years but we have 11 days so 11/360
A is $19.8
let's put the values in the formula
$289.9= $270(1 + r*(11/360))
you will find the r is 2.4
Solve the equation. b/6 = 3 b=
Answer:
b = 18
Step-by-step explanation:
We do the inverse operation thing:
3 x 6 = 18
We can check it by filling it in:
18/6 = 3
So b = 18
Kathy is planning a party. She decides to serve pizza to her guests and estimated that she will need 12 pizzas with 8 slices each. If each person eats 3 pieces, then how many people cans she serve.
Answer:
32 people can she serve
Step-by-step explanation:
12x8=96
96 divided by 3=32
Can you please help me
If Julie had 10 bags of apples that has 5 apples in it and she took out 3 apples from 1 bag, how many apples does she have
Answer:
47 apples
Step-by-step explanation:
50 apples - 3 apples
47 apples
Answer:
56 apples
Step-by-step explanation:
complete the ratio table below
metalworker has a metal alloy that is 25% copper and another alloy that is 70%
copper. How many kilograms of each alloy should the metalworker combine to create 50kg of a 52% copper alloy
x = amount (kg) of 25% coper alloy
y = amount (also kg) of 70% copper alloy
Each kilogram of the 25% alloy contains 0.25 kg of copper, while each kilogram of the 70% alloy contains 0.7 kg of copper. When combined, the metalworker ends up with (x + y) kg of an alloy that should consist of 52% copper, so that it contains 0.52 (x + y) kg of copper.
The metalworker wants to make 50 kg of this new alloy, so that
x + y = 50
of which 52%, 0.52 (50 kg) = 26 kg, is copper, so
0.25x + 0.7y = 26
Solve for y in terms of x :
y = 50 - x
Substitute this into the other equation and solve for x :
0.25x + 0.7 (50 - x) = 26
0.25x + 35 - 0.7x = 26
9 = 0.45x
x = 20 → y = 30
what are two ratios that are equivalent to 1:1
Answer:
2:14 and 3:21
Step-by-step explanation:
Rosa is making bracelets to sell at the craft fair.
Yesterday she made 36 in 8 hours. Find k the
(constant of proportionality) and write the rule
(equation) for this relationship.
9514 1404 393
Answer:
k = 4.5
y = 4.5x . . . y bracelets in x hours
Step-by-step explanation:
The constant of proportionality is the "unit rate", the number of bracelets per hour.
k = bracelets/hours = 36/8 = 4.5
The constant of proportionality is 4.5 (bracelets per hour).
__
The equation of a proportional relationship is ...
y = kx
For this relationship, ...
y = 4.5x . . . . . . y bracelets in x hours
For a field trip 4 students rode in cars and
the rest filled nine buses. How many
students were in each bus if 472 students
were on the trip?
1a. What does the variable "x" represent?
1b. What equation represents this word problem?
1c. What is the solution to the word problem?
(Please help me with this quiz)
Step-by-step explanation:
We are solving for the number of students in each bus, so let x represent the number of students in each bus.
We have 4 + 9x = 472.
=> 9x = 468, x = 52.
Hence there are 52 students on each bus.
In a large population, 57 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
Answer:
0.986
Step-by-step explanation:
Probability of at least one being vac = 1 - Probability of all 5 not vac
1 - (1-0.57)^5 = 1 - (0.43^5) = 1 - 0.014 = 0.986
The probability that at least one of the five randomly chosen individuals had received a vaccination is around 0.956, or 95.6%.
Given that in a population, 57% people were vaccinated.
5 people are randomly selected, we need to find the probability that at least one of them has been vaccinated.
To calculate the probability that at least one of the five randomly selected people has been vaccinated, we can use the complementary probability approach.
The probability that none of the five people have been vaccinated is equal to the complement of the probability that at least one of them has been vaccinated.
So, let's calculate the probability of none of them being vaccinated and subtract it from 1 to find the desired probability.
The probability that a randomly selected person has not been vaccinated is 1 - 0.57 = 0.43 or 43%.
Since the selection of each person is independent, the probability that all five of them have not been vaccinated is:
P(Not Vaccinated) = 0.43⁵ = 0.043855
The probability that at least one of them has been vaccinated is the complement of the above probability:
P(at least one vaccinated) = 1 - P(not vaccinated)
= 1 - 0.043855 = 0.956145
Therefore, the probability that at least one of the five randomly selected people has been vaccinated is approximately 0.956 or 95.6%.
Learn more about probability click;
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Urgent help need it plz help
please answer quickly!!!
Answer:
[tex]c=20[/tex]
Step-by-step explanation:
The diagonals of a rectangle always bisect each other. Therefore, we can set [tex]QT=ST[/tex]:
[tex]c=4c-60,\\-3c=-60,\\c=\fbox{20}[/tex]
Help plz will do BRAINLIEST!!!!!!
Answer:
125 56 − x 7
Step-by-step explanation:
1/2-3/8/1/3+4/7(5- 1/4 x)
what is -2(3x + 12y - 5 - 17x - 16y + 4)
Answer:
−2(3x+12y−5−17x−16y+4)
=(−2)(3x+12y+−5+−17x+−16y+4)
=(−2)(3x)+(−2)(12y)+(−2)(−5)+(−2)(−17x)+(−2)(−16y)+(−2)(4)
=−6x−24y+10+34x+32y−8
=28x+8y+2
(～￣▽￣)～ -Have a wonderful day-Click on the correct answer.
One morning it rains 1/2 inch. That afternoon it rains another 1/3 of an inch.
What is the total amount of rainfall?
1/6 of an inch
2/6 of an inch
2/5 of an inch
5.6 of an inch
aight anyone plz help lol
Answer:
okkokokokokokoookkijoiig
Consider the exponential function g(x) = 1,296x .
Find the output values for x-values x = –1.75, –1, –0.25, 0, 0.25, 0.50, 0.75, and 1.
Answer:
g(-1)=1/1296
g(.25)=1/6
g(0)=1
g(.25)=6
g(.50)=36
g(.75)=216
g(1)=1,296
:)
Im getting kicked out the house if i fail this please help
Answer:oop I put the answer in da wrong play my bad have a good day or night
Step-by-step explanation:
M=2
Use the diagram to derive the law of cosines. Fill
in the missing statements in the derivation
Answer:
2: a2-x2
4: b2-2bx+x2
6: -2bx
Step-by-step explanation:
The following procedure will be
1. a²=h²+x²
2. h²= a²-x²
3. c² = h² + (x-b)²
4. c² = h² + x² + b² -2xb
5. c² = a²-x² + x² + b² -2xb
6. c² = a² +b² -2xb
7. x = a CosC
8. c² = a² +b² -2ab CosC
TriangleTriangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Right angle triangle
It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
The following procedure will be
1. a²=h²+x²
2. h²= a²-x²
3. c² = h² + (x-b)²
4. c² = h² + x² + b² -2xb
5. c² = a²-x² + x² + b² -2xb
6. c² = a² +b² -2xb
7. x = a CosC
8. c² = a² +b² -2ab CosC
More about the triangle link is given below.
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