The manufacturer needs to adjust the equipment to meet the standard with the margin of error of 2.34.
Define the term margin of error?The calculated number known as the margin of error is added to and removed from the mean value to get the resulting confidence interval. The confidence interval expands as the margin of error does.
Alpha value = 0.05Standard deviation = 5Sample size = 20Sample average = 246Calculate the 95% confidence interval's margin of error based on the aforementioned data.
α = 0.05
n = 20
s = 5
The following is the formula to determine the margin of error:
E = T(n-1) ×s/√n
The t-distribution table is used to determine the value of tn-1 at 19 degrees of freedom.
Replace the values in the formula above.
E = 2.093 ×5/√20
Thus, its margin of error is 2.34 as a result.
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a professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a standard deviation of 11. the professor has informed us that 8.75 percent of her students received grades of a. what is the minimum score needed to receive a grade of a?
The minimum score needed to receive a grade of 'a' is 87.92
Given that,
At a nearby university, a professor noticed that her students' exam results were regularly distributed, with a mean of 73 and a standard deviation of 11. 8.75 percent of the professor's students achieved grades of A, she told us.
Mean = μ = 73
Standard deviation = σ = 11
Using the standard normal table,
⇒ P(Z > z) = 8.75%
⇒ 1 - P(Z < z) = 8.75%
= 1 - P(Z < z) = 0.0875
= P(Z < -1.36) =1- 0.0875
= P(Z < 1.3563) =0.9125
∴ Z = 1.3563 ( Using standard normal z-table )
Using z-score formula ;
x= z * σ + μ
x=1.3563 * 11 + 73
x=87.92
So, the minimum score needed to receive a grade of 'a' is 87.92
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Write down the two district properties between parellelograml and trapezium
You can see pic..
Write an equation for the line parallel to the given line that contains the given point.
Line: 8y=6x+5 Point: (-8,-10)
Please answer quick!!
The linear equation parallel to 8y=6x+5 is:
y = (3/4)*x - 4
How to find the equation of the parallel line?Remember that two linear equations are parallel if and only if both lines have the same slope and different y-intercept.
Here we want to find a line parallel to:
8y = 6x + 5
Rewriting this in slope-intercept form we get:
y = (6x + 5)/8
y = (3/4)*x + 5/8
Then a parallel line to this one will be:
y = (3/4)*x + b
To find the value of b, we use the fact that this line must pass through the point (-8, -10).
-10 = (3/4)*(-8) + b
-10 = -6 + b
-10 + 6 = b
-4 = b
Then the linear equation is:
y = (3/4)*x - 4
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a certain car travels at a constant speed of 40 miles per hour. how far does the car travel in 45 minutes
The car travels 30 miles in 45 minutes with the speed 40 miles/hour with the constant speed.
What is speed?Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. In other words, velocity is a vector, whereas speed is a scalar value. The distance traveled by a moving object in a specific amount of time is its speed. How quickly something is moving is determined by its speed. The distance traveled by an object in a given amount of time divided by the time gives the object's average speed.
Here,
45 minutes/60 minutes= .75 hours (this gives you the amount of time in hours)
time x speed = distance
.75 hours time x 40 mph speed = 30 miles distance
With a constant speed of 40 miles per hour, the car covers 30 miles in 45 minutes.
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can someone please doordash me something like i will give brainly 5 stars and spotify premium just 10 dollars please
i gotchu what do u want
Find an equation for the perpendicular bisector of the line segment whose
endpoints are (6, -5) and (-2, -9)
The perpendicular bisector of the line segment with endpoints (6, -5) and (-2, -9) is 7x,2y = 6.
What is standard form equation?Ax+By=C is the standard form for linear equations in two variables. 2x+3y=5, for example, is a standard linear equation. It is relatively simple to find both intercepts when an equation is given in this form (x and y).In mathematics, a number is written in standard form. The simplest form of decimal numbers is standard form, which can be easily read and written. The standard form of the decimal number 0.007, for example, is 7 10-3. It can be difficult to read or write very large or very small numbers at times. As a result, we write them in standard form.The standard form of numbers (also known as "scientific notation") has different meanings depending on where you are in the world.Therefore,
The coordinates of the end points:
(6, -5) and (-2, -9)
((6, -5) +(-2, -9))/2
= ((6,-9)/2, (-2, -5)/2)
= (1.5, 3.5)
The difference in endpoint coordinates will be;
(Δx, Δy) = (9-(-5), (-2)-6) = (14, 8)
Then the ratio of these values, so we need to divide both by the common factor of 2:
(Δx, Δy) = (7, 2)
A line perpendicular to this segment through the point (h, k) can be written as;
Δx·x +Δy·y = Δx·h +Δy·k
7x ,2y = 7(2) 2(4)
7x, 2y = 6 .
Hence the standard form equation for the perpendicular bisector will be; 7x ,2y = 6 .
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PLEASE HELPPP!!!! DESPERATEEEEEEE
Pablo has a goal to lose 25lb. He has lost 16lb. What percent of his goal has been reached
A writer earns $3400 a month. Last month she spent 204 on food. what percent of her income was spent on food
Jane is counting the cars going by her house. There are 3 blue cars, 12 white cars, and 1 red car. What is the ratio of white cars to blue cars?
Answer:
4:1
Step-by-step explanation:
12÷3=4
3÷3=1
white to blue
12 : 1
Help pls ASAP i am Limited on tile and I need someone to do this I need to do other assignments too
Answer:
78
Step-by-step explanation:
x + 12 = 90
x = 78
Find the nth term : 6, 12, 22, 36…
The nth term of the given sequence is 6n
The given sequence is 6, 12, 22, 36,....
The formula to find the nth term is
T(n) = a + (n-1)d ... (1)
Where n is the number of terms
a is first term
d is common difference
Here
n = n. a = 6,
d = 12 - 6 = 6
Substitute the values in equation (1)
T(n) = 6 + (n-1)6
⇒ T(n) = 6 + 6n - 6
⇒ T(n) = 6n
Hence the nth term of the given sequence is 6n
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light bulbs are packed in boxes of 10. inspectors randomly select 3 of the 10 light bulbs. the box contains exactly 4 defective light bulbs. using a hypergeometric probability distribution, find the following to four decimals. a defective bulb is considered a success. what is the probability that exactly four of the selected is defective? enter the answer as a number to one decimal.
The probability that exactly four of the selected bulbs from the pack of 10 bulbs is defective is 1/120.
Define the hypergeometric probability distribution?When sampling from such a low population without replacement, the hypergeometric distribution represents a discrete probability distribution which determines the likelihood that an event occurs k times in n trials. In terms of the aspect of sampling without replacement, this distribution is equal to the binomial distribution.For the given question;
Total bulbs = 10Defective bulbs = 4Selected bulbs = 3Thus, the probability that exactly four of the selected is defective.
P = ⁴C₄ / ¹⁰C₃
P = 1/120
Thus, the probability that exactly four of the selected is defective is 1/120.
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Work out 3^8 =9root3
Tell whether the sequence is arithmetic. If it is, identify the common difference.
0, 7, 14, 21, ...
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The sequence is arithmetic and has a common difference of [_]
OmB. The sequence is not arithmetic.
Answer:
A
Step-by-step explanation:
the arithmetic sequence is the one in which the difference between the one and the next term is a constant.
0,7,14,21,28,35,42...
this is an arithmetic sequence with a common difference of [7]
Write inequalities to represent the situations below.
Ann exercises no less than 40 minutes per day.
Use t to represent Ann's amount of exercise (in minutes per day).
The inequalities to represent the Ann situation is t > 40.
How to model a situation with inequalities?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
In Mathematics, the relationship between two values that are not equal is defined by inequalities.
Therefore, an expression with an inequalities have the signs <, >, ≤ and ≥.
Let's represent the situation with an inequalities.
Therefore, Ann exercises no less than 40 minutes per day.
let
t = Ann's amount of exercise (in minutes per day).
The inequalities to represent the situation is as follows:
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Need Help With Explaining and ASAP please! And check if I’m correct!
Answer:
yhj
Step-by-step explanation:
all in the text bag with you high bag GM DJ tee SB hy DJ DJ TV DJ DJ DJ DJ CB jus DJ tty 464+7557+56(6)=7
Im not sure how to do this, could one of you give me the answer on how to do this?
Answer:
2x+4=52
2x+19=67
2x+13=61
(I gotta be honest I can’t fully remember how to name the angles but to not set you astray I just put the equation each angle goes to)
x=24
Step-by-step explanation:
the sum of all three angles is equal to 180 degrees
So we can add all of these angles and set it equal to 180 like this
(2x+19)+(2x+4)+(2x+13)=180
Simplify by adding common terms
6x+36=180
-36. -36
6x=144
/6. /6
x=24
So now to find the angles we just fill in x with 24
2(24)+4
48+4
52
2(24)+19
48+19
67
2(24)+13
48+13
61
Hopes this helps please mark brainliest
Kermit and Miss Piggy are a part of a close group of 10 Muppets. Four of the Muppets are randomly selected to
do press for their next movie. What is the probability Miss Piggy will do press but Kermit will not?
A.4/15
B.1/15
C.1/24
D.None of the above
Answer:
d
Step-by-step explanation:
Because answer would be 4/10 or 5/10
Point A is graphed on the coordinate plane. What ordered pair represents point A?
Answer:
-7,7
Step-by-step explanation:
a mixture of 3% disinfectant solution is to be made from 5% and 2% disinfectant solutions. how much of each solution should be used if 21 gallons of 3% solution are needed?
To make 21 gallons of 3% disinfectant solution, 7 gallons of 5% solution are used, and 14 gallons of 2% solution are used.
21 gallons of the 3% solution is required.
Therefore, the amount of disinfectant in the solution
= 3/100 X 21 gallons
= 0.63 gallons
Let the amount of 5% disinfectant solution used be x
Therefore,
the amount of 2% disinfectant solution used is (21 - x)
Now, the amount of disinfectant added through these solutions must be equal to the amount of disinfectant in the solution.
Hence,
5/100 X x + 2/100 X (21 - x) = 0.63
or, 5x/100 + (42 - 2x) / 100 = 0.63
or, 0.05x + 0.42 - 0.02x = 0.63
or, 0.03x = 0.63 - 0.42
or, 0.03x = 0.21
or, x = 0.21 / 0.03
or, x = 7
Therefore 21 - x = 14
Hence 7 gallons of 5% solution is used and 14 gallons of 2% solution is used.
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Solve the equation: 4 - 2y + 3 = - 9. What is y equal to?
Answer:
b
Step-by-step explanation:
In the given equation 4 - 2y + 3 = - 9, y is equal to 8.
The equation is a statement in which the values of two mathematical expressions are equal (indicated by the sign =).
To find the value of y from the given equation
∴ 4 - 2y + 3 = - 9
=> 4+3 -2y = -9
=> 7 - 2y = -9
=> 7 + 9 = 2y
=> 16 = 2y
=> 16/2 = y
=> 8 = y
=> y = 8
So, the value of y in the above equation 4 - 2y + 3 = -9 is 8.
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What is the area of the shaded portion of the parallelogram? Dimensions are in centimeters.
The area of the shaded portion of the parallelogram is 35.43 centimeter square
The base of the parallelogram = 8 centimeter
The height of the parallelogram = 6 centimeter
The area of the parallelogram = Base × Height
= 8 × 6
= 48 centimeter square
The radius of the circle = 2 centimeter
The area of the circle = π × [tex]r^2[/tex]
= π × [tex]2^2[/tex]
= 12.57 centimeter square
The area of the shaded region = The area of the parallelogram - The area of the circle
Substitute the values in the equation
= 48 - 12.57
= 35.43 centimeter square
Hence, the area of the shaded portion of the parallelogram is 35.43 centimeter square
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simplify
2√3/16-√75/16+2√27/16
Answer:
3.24759526401
Step-by-step explanation:
divide that
Evaluate -7(x – 4y) when x = −4 and y = −6 a140 b52 c-28 d-140
Answer: D
Step-by-step explanation:
-7(-4-(4)(-6))
-7(-4-(4)(-6))
=140
in how many ways can a community. of five be selected from eight students if two particular students are to be included.
To select the community, there are 20 ways available.
What is Combination?
A combination is a mathematical approach for determining the number of potential arrangements in a set of objects when the order of the selection is irrelevant.
Solution:
Since 2 particular students are to be included,
we have to arrange 3 students from 6 students.
nCr = n! / (n-r)!*r!
6C2 = 6!/ (6-3)! 3!
6C2 = 6*5*4*3!/ 3! * 3*2
6C2 = 5*4 = 20
Thereofre, there exists 20 ways of doing the above mentioned.
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how to write as one fraction 7/2a+4/a*a
The fraction 7/2a+4/a*a can be written as (7 + 8a) / 2a
What is a fraction?
In general, any number of equal pieces is represented by a fraction, which is a portion of the entire. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many pieces of a particular size there are in spoken common English. In other words, a fraction indicates the components of a whole or group of items.
Solution Explained:
First, we simplify the equation
= [tex]\frac{7}{2a} + \frac{4}{a} X a[/tex]
= [tex]\frac{7}{2a} + 4[/tex]
= [tex]\frac{7 + 8a}{2a}[/tex]
Therefore, the equation can be written as (7 + 8a) / 2a
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7×25
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
175
how will convert it in mixes fraction when there is no division number
If you add a prime number to itself, is the sum composite or prime?
Answer: The sum of two prime numbers is always even (which is composite).
Hope this helped :)
can someone make a systems of equations word problem using (2, -2)? i included the equation
The word problem including the given equation is mentioned below.
Given, a system of equations
x + y = 0
2x - y = 6
We have to make a word problem using the given system of equations.
Ram and Rahul are two friends and both attempt a test of 10 marks. Now, Ram prepared for the test whereas Rahul didn't prepared for the test and marked the wrong answers in the test. If negative marking is allowed in the test and it is given that, sum of the marks of both the students is zero. Also, twice the marks of Ram is 6 less than the marks of Rahul.
Find the marks of both the students.
Hence, the word problem including the given equation is mentioned above.
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The temperature over the course of a day was being monitored. In the morning, the temperature was −3°F. In the middle of the day, the temperature rose to 12°F. After dark, the temperature dropped again to −6°F. What was the average temperature for the day?
A. −3°F
B. −1°F
C .1°F
D. 3°F
Preston goes to the movies with $15 in his wallet. He buys
a ticket for $6.50 and two snacks for $1.75 each. How
much money does he have left?
Select the correct expression.
OA. 15-6.5-1.75
OB. 15-(6.5+ 2.1.75)
O C. 15-2(6.5+ 1.75)
OD. 15-6.5+2.1.75
Preston left with $5 and correct expression for to find solution is option(B) i.e, 15 - (6.5 + 2 * 1.75)
What is an Algebraic Expression?
An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression. For example, 3x² − 2xy + c is an algebraic expression.
Given,
Total money Preston have = $15
He buys the ticket for = $6.50
And, two snacks = $1.75 each
so the cost of two snacks is = 1.75 * 2 = $3.5
Total cost for ticket and snacks = $3.5 + $6.50 = $10
Now, he spent money on snacks and ticket $10 and he have total money $15 so,
Preston left with = $15 - $10
= $5
Therefore, Preston left with $5 and correct expression for to find solution is option(B) i.e, 15 - (6.5 + 2 * 1.75)
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