Answer:
The P-value you would use to test the claim that the population mean of pencils produced in that factory have a mean length equal to 18.0 cm is 0.00736.
Step-by-step explanation:
We are given that a quality control specialist at a pencil manufacturer pulls a random sample of 45 pencils from the assembly line.
The pencils have a mean length of 17.9 cm. Given that the population standard deviation is 0.25 cm.
Let [tex]\mu[/tex] = population mean length of pencils produced in that factory.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 18.0 cm {means that the population mean of pencils produced in that factory have a mean length equal to 18.0 cm}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu\neq[/tex] 18.0 cm {means that the population mean of pencils produced in that factory have a mean length different from 18.0 cm}
The test statistics that will be used here is One-sample z-test statistics because we know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample mean length of pencils = 17.9 cm
[tex]\sigma[/tex] = population standard deviation = 0.25 cm
n = sample of pencils = 45
So, the test statistics = [tex]\frac{17.9-18.0}{\frac{0.25}{\sqrt{45} } }[/tex]
= -2.68
The value of z-test statistics is -2.68.
Now, the P-value of the test statistics is given by;
P-value = P(Z < -2.68) = 1 - P(Z [tex]\leq[/tex] 2.68)
= 1- 0.99632 = 0.00368
For the two-tailed test, the P-value is calculated as = 2 [tex]\times[/tex] 0.00368 = 0.00736.
Please help! (It’s about slope)
Answer:
The slope is -2/3
Step-by-step explanation:
We find the slope by using the slope formula
m= ( y2-y1)/(x2-x1)
= ( -1 -3)/( 3- -3)
= -4 /( 3+3)
= -4 / 6
= -2/3
The slope is -2/3
Answer:
-2/3
Step-by-step explanation:
To find the slope, use 2 points and the slope formula:
m= (y2-y1)/(x2-x1)Points are: (-3, 3) and (3, -1)
m= (-1-3)/(3+3)= -4/6= -2/3The slope is -2/3
ε = {x: 2 x 30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: I) MUP ii) M - T iii) P(MT) iv) P’U(MT’)
Answer:
Step-by-step explanation:
ε = {x: 2≤ x ≤30}
M = { even numbers} = {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}
P = { prime numbers} = {2,3,5,7,11,13,17,19,23,29}
T = {odd numbers} = {3, 5, 7, 9, 11,13,15,17,19,21,23,25,27,29}
1. M ∪ P = {2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30}
2. M - T =
n(M) - n(T)
15- 14 = 1
3. P(MT)
(MT) = M ∩ T = 0
P ∪ (M ∩ T ) = {2,3,5,7,11,13,17,19,23,29}
4. P' = not a prime number
T' = not odd number = M
P' ∪(M∩T')
P' ∪ {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}
= {2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}
ASAP! I do not accept nonsense answers, but BRAINLIEST will be given to the person who gets it correct with full solutions.
Answer:
A
Step-by-step explanation:
The range refers to the possible y-values. You can assume that values on the right column are the y-values if it is not specifically expressed. The right column is the output, or y, column.
Since you have a table, you have to state each number. Put the numbers in numerical order. This gives you an answer of
{46, 49, 52, 53, 58, 63, 64, 67}
If the four lines are extended, which system would have only one solution? On a coordinate plane, lines a and b would intersect. Lines c and d are the same line. line a and line b line b and line c line b and line d line c and line d
Answer:
a
Step-by-step explanation:
took the quiz
Answer:
A
Step-by-step explanation:
took the quiz
10. If there is a crossword that has four squares that need to be filed, how many possible four letter arrangements are there (assuming they do not have to make a real word)?
Answer:
See Explanation
Step-by-step explanation:
The question didn't specify if letter can be repeated or not;
I'll solve for both;
Given
Number of Letters = 26
Number of squared = 4
If Repetition is allowed;
The four squares can take any of the 26 letters in any order
The first letter can be any of 26; Same with the second, third and fourth letters;
Number of Arrangement = 26 * 26 * 26 * 26
Number of Arrangement = 26⁴
Number of Arrangement = 456976
If Repetition is not allowed;
The first square can be filled with any of the 26 letters;
The second can take any of (26 - 1) letters
The third can take any of (26 - 2) letters
The fourth can take any of (26 - 3) letters
Number of Arrangement = 26 * (26 - 1) * (26 - 2) * (26 - 3)
Number of Arrangement = 26 * 25 * 24 * 23
Number of Arrangement = 358800
Answer:
26!/22!
Step-by-step explanation:
I just took the quiz I got it right
What is the solution to this system of linear equations? x + y = 4 x − y = 6 A: (4, 6) B: (6, 4) C: (5, −1) D: (−1, 5)
Answer:
C
Step-by-step explanation:
Given the 2 equations
x + y = 4 → (1)
x - y = 6 → (2)
Add the 2 equations term by term to eliminate y, that is
2x = 10 ( divide both sides by 2 )
x = 5
Substitute x = 5 into either of the 2 equations and evaluate for y
Substituting into (1)
5 + y = 4 ( subtract 5 from both sides )
y = - 1
solution is (5, - 1 ) → C
Use the given information to draw a box-and-whisker plot of the data set
Minimum – 28
Maximum – 54
Lower Quartile – 32
Upper Quartile – 40
Answer:
The box-and-whisker plot of this distribution is presented in the attached image to this solution.
Step-by-step explanation:
A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.
A box and whiskers plot shows 5 major information about the distribution of data. It shows:
- The maximum variable.
- The minimum variable.
- The Median.
- The first quartile.
- The third quartile.
Further info such as the range and Inter quartile range can then be obtained from this 5-number summary.
The elements of the box plot are described thus;
The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.
The horizontal line inside the box is the median.
The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.
Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.
The required boxplot for this question is given in the attached image to this solution.
The median for the boxplot isn't provided, but it was assumed to be midway between the first and third quartile.
Hope this Helps!!!
Which metric unit would be best to measure the volume of water in a swimming pool?
Answer:
HEY!
your answer is
it would be best to use litres
this is because a litre is 1000 millilitres and a swimming pool is a large amount of water.
Step-by-step explanation:
hope this helps
pls put brainliest
The model below represents 2x+1=-X+4.
Answer:
x=1.
Step-by-step explanation:
2x + 1 = -x + 4
+x - 1 = +x - 1
3x. = 3
3/3. = x
1. = x
A restaurant catered an event for 25 people. A child’s dinner cost $5 and an adult’s dinner cost $22. The party cost $431. How many children were in attendance? How many adults were in attendance?
Answer:
7 Children and 18 Adults.
Step-by-step explanation:
Sorry im late but thats the answer ^
There was 7 children attendee and 17 adult attendee.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
A restaurant catered an event for 25 people.
A child’s dinner cost $5 and an adult’s dinner cost $22.
The party cost $431.
let the number of children attendee be x and adult attendee be y.
So, x+ y = 25..............(1)
and, 5x + 22y = 431.......(2)
Solving the Equation (1) and (2) we get
5(25 - y) + 22y= 431
125 - 5y + 22y= 431
17y = 431-125
17y = 306
y = 18
and, x= 25-18 = 7
Hence, there was 7 children attendee and 17 adult attendee.
Learn more about Equation here:
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could you plz help me with this question?
Answer:
(a) t_n = 3n - 9
(b) t_16 = 39
Step-by-step explanation:
(a)
-3 - (-6) = -3 + 6 = 3
The common difference is 3.
t_1 = -6
t_2 = -6 + 3
t_3 = -6 + 3 + 3
t_4 = -6 + 3 + 3 + 3
t_n = -6 + 3(n - 1)
t_n = -6 + 3n - 3
t_n = -9 + 3n
t_n = 3n - 9
The formula is: t_n = 3n - 9
(b) t_16 = 3(16) - 9 = 48 - 9 = 39
Answer:
an = -6 + 3(n - 1)
a(16) = 39
Step-by-step explanation:
Explicit Formula: an = a1 + d(n - 1)
Our d (common difference) is +3
Our a1 (First term) is -6
To find a(16) (the 16th term), plug in 16 for n.
What are the zeroes of f(x) = x2 - 6x + 8?
Ox= -4,2
Ox= -4,-2
O x = 4,2
Ox=4, -2
Step-by-step explanation:
x² -6x+8=0
x²-4x-2x+8=0
x(x-4)-2(x-4)=0
(x-2)(x-4)=0
x = 2 OR 4
hence ox = 4,2
Find the value of x
2x + 46 = 7x + 6
Answer:
7x-2x = 46-65x = 40 x = 40/5 x =8 ......hope it helps .........Answer:
so x=8
Step-by-step explanation:
2x+46=7x+6
subtracting 7x on both sides
2x-7x+46=7x-7x+6
-5x+46=6
subtracting 46 on both sides
-5x+46-46=6-46
-5x=-40
5x=40
x=8
i hope this will help you :)
OM , ON and OP are the angle bisectors of ∠AOB, ∠BOC, and ∠COD respectively. ∠AOD and ∠BOE are straight angles.
Find m∠BOC, if m∠MOP = 110°.
Answer:
m∠BOC= 40 degrees
Step-by-step explanation:
A diagram has been drawn and attached below.
OM bisects AOB into angles x and x respectivelyON bisects ∠BOC into angles y and y respectivelyOP bisects ∠COD into angles z and z respectively.Since ∠AOD is a straight line
x+x+y+y+z+z=180 degrees
[tex]2x+2y+2z=180^\circ[/tex]
We are given that:
m∠MOP = 110°.
From the diagram
∠MOP=x+2y+z
Therefore:
x+2y+z=110°.
Solving simultaneously by subtraction
[tex]2x+2y+2z=180^\circ[/tex]
x+2y+z=110°.
We obtain:
x+z=70°
Since we are required to find ∠BOC
∠BOC=2y
Therefore from x+2y+z=110° (since x+z=70°)
70+2y=110
2y=110-70
2y=40
Therefore:
m∠BOC= 40 degrees
Need help solving. Prefer you show each step in solving.
Answer:
55
Step-by-step explanation:
For PQ and RS to be parallel, the two degrees must be equal.
3x - 65 = 2x - 10
(3x - 65) + 65 = (2x - 10) + 65
3x = 2x + 55
(3x) - 2x = (2x + 55) - 2x
x = 55
1
11 Kenzie monitors her investment on a technology
stock. She uses the expression 2013e2+, where t
is the time in years, to estimate the future value
of the stock. What is the meaning of 2013 in this
context?
A. beginning year
B. invested amount
C. future value
D. annual growth rate
Answer:
B
Step-by-step explanation:
The term 2013 in this context refers to the amount invested.
Mathematically, in finance, we can express the amount to be recouped on an investment, having a particular rate of return over a couple of years using the general formula;
V = P(1+r)^t
Such as in the case of amount obtained in a compound interest formula
Where P is the present value or principal or amount invested
V is the future value
r is the rate of investment
with t being the time taken
0.00045-2.5*10^-5 in scientific notation?
Answer:
The answer is 4.25*10^−4
Step-by-step explanation:
First convert 2.5*10^-5 into decimal form
That's
2.5*10^-5 = 0.000025
0.00045 - 0.000025 = 0.000425
= 4.25*10^−4 in scientific notation
Hope this helps
Answer:
4.25*10^−4
Step-by-step explanation:
khan
find the midpoint of the line segment that has endpoints at (10,8) (-3,-10)
Hey there! :)
Answer:
(3.5, -1).
Step-by-step explanation:
Use the midpoint formula to solve this problem:
[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
Plug in the coordinates given:
[tex](\frac{10-3}{2}, \frac{8-10}{2})[/tex]
Simplify:
[tex](\frac{7}{2}, \frac{-2}{2})[/tex]
Therefore, the coordinates of the mid-point are:
(3.5, -1).
The graph shows the function f(x) = 2*
What is the value of xwhen f(x) = 8?
Answer:
x=3
Step-by-step explanation:
f(x) = 2^x
Let f(x) =8
8 = 2^x
Rewriting 8 as 2^3
2^3 = 2^x
The bases are the same so the exponents are the same
3=x
Answer:
A. 3
Step-by-step explanation:
y = 2^x
y = 8
Plug y as 8 in the first equation.
8 = 2^x
Make the left side of the equation with a base of 2.
2^3 = 2^x
Cancel bases.
3 = x
What is the value of x in the equation -X = 3 - 4x + 6?
0-9
0-3
03
09
Answer:
x=3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
I took the test!
Jenny multiplies the square root of her favorite positive integer by √2. Her product is an integer. a) Name three numbers that could be Jenny's favorite positive integer, and explain why each could possibly be Jenny's favorite integer. b) Suppose Jenny divides the square root of her favorite positive integer by √2. Does she have to get an integer? (Remember, when Jenny multiplies the square root of her favorite integer by √2, she gets an integer.) For part (b), try using each of the numbers you found in part (a) as Jenny's favorite number.
Answer:
(a) Three numbers that could be Jenny's favorite number are;
2, 8, and 18
(b) Yes
Step-by-step explanation:
(a) Let Jenny's favorite integer be X, we have;
√X × √2 = Y where Y is an integer
Therefore, the square root of Jenny's favorite number has a factor of √2 which gives the possible options as
2 with √2 being the square root
8 with √8 = 2·√2
18 with √18 being 3·√2
(b) By dividing each of the square root of the possible Jenny's favorite number, we have;
i) For the integer 2 we have;
√2/√2 = 1 which is an integer
ii) For the integer 8 we have;
√8/√2 = 2·√2/√2 = 2 which is an integer
ii) For the integer 18 we have;
√18/√2 = 3·√2/√2 = 3 which is an integer
What is the product of the binomials below?
Answer:
A.
Step-by-step explanation:
When you multiply the two binomials using distributive property, you get the answer A. I could display the steps since it did not let me.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Which point is located at (4, -2)?
y
5
ТА
4
3
2+
1
2 3
Х
-5 -4 -3 -2 -11
-2
4 5
B
-4
D
b
Answer:
Point B of 4the quertant
What is the result of subtracting the second equation from the first? 8x-4y=-4 -3x+4y=5
━━━━━━━☆☆━━━━━━━
▹ Answer
(x, y) = (14/5, 87/20)
▹ Step-by-Step Explanation
8x - 4y = -4 - 3x + 4y = 5
8x - 4y = 5
-4 - 3x + 4y = 5
8x - 4y = 5
-3x + 4y = 9
5x = 14
x = 14/5
-3 * 14/5 + 4y = 9
y = 87/20
(x, y) = (14/5, 87/20)
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
11x−8y=−9
Step-by-step explanation:
khan
Find X. Do not round your Answer
Answer:
83/5, 16.6, 16 3/5
Step-by-step explanation:
When two secant segments are drawn to a circle from an external point, the product of one secant segment and its external segment equals the product of the other secant segment and its external segment.
6 times 18 = 5(5+x)
The total secant segment is 6+12=18
so one side = 6 times 8.
The line from the circle (but not inside) is 5.
You don't know the entire segment, but you do know that 5 is part of it. Hence 5 times (5+x).
Sorry for the trashy explanation.
Answer:
16.6Step-by-step explanation:
6x + 7y + x-8y = 7x - y
Write down three other expressions that are equal to 7x - y
Answer:
It's pretty easy! You can manipulate the numbers to match the equation.
For example,
x + 8y + 6x - 9y = 7x - y
5x + 2x - 2y + y = 7x - y
10x + 7y - 3x - 8y = 7x - y
The other equivalent expressions that are equal to 7x - y could be; x + 8y + 6x - 9y = 7x - y, 5x + 2x - 2y + y = 7x - y and 10x + 7y - 3x - 8y = 7x - y
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; that can also be used to indicate the logical syntax's order of operations and other features.
We have been given the expression as;
6x + 7y + x-8y = 7x - y
When someone asks to solve an equation, then it usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).
The other equivalent expressions that are equal to 7x - y could be;
x + 8y + 6x - 9y = 7x - y
5x + 2x - 2y + y = 7x - y
10x + 7y - 3x - 8y = 7x - y
To know more about an expression follow;
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Find the area of the semicircle
Answer:
56.549
Step-by-step explanation:
just input the answer, quick!!!
Answer:
half of pi(6)^2
Step-by-step explanation:
The area of a circle is pi(r)^2, so just substitute r for 6 and halve it.
Solve for f. -11f=7(1-2f)+5
Answer:
4
Step-by-step explanation:
Our equation is -11f= 7*(1-2f)+5
-11f=7*(1-2f)+5 7*(1-2f)+5+11f=07-14f+5+11f=012-3f=0f=12/4f=4
Caleb types 100 words in 5 minutes what is the unit rate
Basically, the unit rate is known as the simplest form of something. In this case, you're trying to figure out how many words he types in 1 minute.
Here's the work:
100 words = 5 minutes
100/5 = 5/5
20 words = 1 minute.
Please vote my answer the Brainliest if it helped! Don't be afraid to ask questions if you didn't understand!
Answer:
20 words per minute
Naomi can spend up to $18.00 for a trip to the bowling alley. The cost per game is $3.25, and shoe rental for the day is $1.50. Which inequality can be used to solve for x, the number of games that Naomi can bowl?
A. 1.50x + 3.25 ≥ 18.00
B. 1.50x + 3.25 ≤ 18.00
C. 3.25x + 1.50 ≥ 18.00
D. 3.25x + 1.50 ≤ 18.00
Answer:
The answer for this question is D
Step-by-step explanation:
because x represents the number of games which is unknown plus 1.50 for the shoe rental
Answer:
the answer is D. 3.25 + 1.50 ≤ 18.00
Step-by-step explanation: