The correct answer to this question is d. the value of the 6 in 364 is 10 times the value of the 6 in 346.
The place value of the 6 in 346 is six because it is in the place of ones, whereas the place value of the sixth in 364 is 60 because it is in the place of tens. As a result, the value of 60 is ten times that of the value of 6.
The value of each digit in a number is known as place value. Every digit in a number has a distinct value depending on where it is located. The value of a digit depends on its position in the number, which can result in a number having two similar digits with different values.
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after collecting the historical data from a process of filling coca-cola bottles, it was found that the variance in the filling process is constant. however, clogs in the machine often affect the average volume. the historical standard deviation is 5 ml. in filling 250 ml bottles, a sample of 20 bottles found an average of volume of 246 ml. create a 95% confidence interval for the average volume of coca-cola in a bottle. can you conclude from your results that the manufacturer needs to adjust the equipment to meet the standard?
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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eight times the quotient of x and 2
Answer:
4x
Step-by-step explanation:
the quotient of x and 2 is [tex]\frac{x}{2}[/tex] , then
8 × [tex]\frac{x}{2}[/tex] ( cancel 8 and 2 by 2 )
= 4 × x
= 4x
Find the slope of the line that passes through (2, 1) and (7, 8).
The slope of the line passing through the point (2,1) and (7,8) is 7/5
What is a slope?
Slope is the inclination of the line with x-axis. measure of how steep a curve or line is. There are various way to calculate the slope of a line. One of the basic way is from coordinates. It is the ratio of difference of y coordinate to the corresponding x- coordinate. it is also known as slope formula
We are given the coordinates as
(2, 1) and (7, 8).
We use the slope formula to find the slope
Slope = (8-1)/(7-2)
Slope = 7/5
Hence the slope of the passing through the given point is 7/5
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The internal radius of a cylindrical bucket of height 50 cm is 21 cm. It is filled with water completely. If the water is poured into a rectangular vessel with internal length 63 cm and breadth 44 cm and it is completely filled with water, find the height of the vessel.
The height of the rectangular vessel into which the volume of water that completely fills the cylindrical bucket is poured is approximately 25 centimeters
What is the relation between height and volume of a cylinder?
The volume of a cylinder is the product of the base area of the cylinder and the height of the cylinder.
Height of the cylindrical bucket, h = 50 cm
Radius of the bucket, r = 21 cm
The level of water in the cylindrical container = The container is filled completely with water
The shape of the vessel into which the water is poured = Rectangular vessel
Length of the rectangular vessel into which the water in the cylinder is poured, L = 63 cm
Breadth of the rectangular vessel, B = 44 cm
Level to which the water fills the rectangular vessel = The rectangular vessel is completely filled with the water poured in from the cylinder
Volume of water in the cylinder, V = Volume of the cylinder = π·r²×h
Therefore;
V = π × 21² × 50 = 22050·π
The volume of water transferred from the cylinder = 22050·π cm³
Volume of the rectangular vessel, [tex]V_s[/tex] = L × B × H
[tex]V_s[/tex] = V = 22050·π cm³
Therefore;
The height of the rectangular vessel, H = [tex]V_s[/tex]/(L × B)
H = 22050·π/(63 × 44) = 24.9899415626 ≈ 25
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Select the correct answer.
What is the domain of function f?
D
Step-by-step explanation:
The domain is the X-values in your function
as you can see, the X values continue to increase as the lines continue, infinitely
What is the slope of a line parallel to the line whose equation is 2x+4y=562x+4y=56. Fully simplify your answer.
The slope of the line parallel to the line that has an equation of 2x + 4y = 56 is -2
How to determine the slope of the line parallel to the line?The line equation is given as
2x + 4y = 56
Subtract 2x from both sides
This gives
4y = -2x - 56
Divide through the equation by 4
So, we have
y = -0.5x - 14
A linear equation is represented as
y = mx + c
Where m represents the slope
This means that
m = -0.5
Parallel lines have the same slope
This means that the slope of the line parallel to the line is -0.5
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Ms. Kirkland is baking muffins. Each batch of muffins uses 1 ½ pounds of flour. How many batches of muffins can she bake with 7 ½ pounds of flour? ______________ batches.
The number of batches of muffins Ms. Kirkland can bake with 7 ½ pounds of flour is 5 batches.
Given that, Ms. Kirkland is baking muffins. Each batch of muffins uses 1 ½ pounds of flour.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Here, [tex]1\frac{1}{2} = \frac{3}{2}[/tex] and [tex]7\frac{1}{2} = \frac{15}{2}[/tex]
The number of batches of muffins can she bake
= 15/2 ÷ 3/2
= 15/2 × 2/3
= 5 batches
Hence, the number of batches of muffins Ms. Kirkland can bake with 7 ½ pounds of flour is 5 batches.
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Answer: The answer is 5
Step-by-step explanation: I have my ways ;>
question the probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0.40. avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey. is avery interpreting the probability correctly? responses yes, because 2 out of 5 is equal to 40%. yes, because 2 out of 5 is equal to 40%. yes, because participants in the survey are selected at random. yes, because participants in the survey are selected at random. no, because there could be voluntary response bias. no, because there could be voluntary response bias. no, because only 40% of all people will visit the site. no, because only 40% of all people will visit the site. no, because 0.40 represents probability in the long run over many visits to the site.
Out of the next 5 visitors, 2 will be asked to attempt the survey. (A) yes, because 2 out of 5 is equal to 40%.
It is given the probability that the randomly selected person is asked to participate in an online survey is 0.4
This means that there is a 40% chance of a visitor being asked to join the survey.
Probability of an event = no. of favorable outcomes / total no of outcomes
P(E) = n(E) / n
Therefore, if the number of visitors to the website is 5,
n = 5
P(E) = 0.4
Hence,
n(E) / 5 = 0.4
or, n(E) = 0.4 X 5
or, n(E) = 2
Therefore, out of the next 5 visitors, 2 will be asked to participate in the survey.
Correct Question
The probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0.40. Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey. is Avery interpreting the probability correctly?
(A) yes, because 2 out of 5 is equal to 40%.
(B) yes, because participants in the survey are selected at random.
(C) no, because there could be voluntary response bias.
(D) no, because only 40% of all people will visit the site.
(E) no, because 0.40 represents probability in the long run over many visits to the site.
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graph the equation y-2x=0 and y=6x-10
A graph of the given system of linear equations is shown in the image attached below.
What is a graph?In Mathematics, a graph can be defined as a type of chart that is commonly used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.
Next, we would rewrite the first equation in standard form as follows:
y - 2x = 0
Adding 2x to both sides of the equation, we have the following:
y - 2x + 2x = 0 + 2x
y = 0 + 2x
y = 2x
By critically observing the graph (see attachment), a solution to the given system of linear equations are 2.5 and 5.
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seven new employees, two of whom are married to each other, are to be assigned seven desks that are lined up in a row. if the assignment of employees to desks is made randomly, what is the probability that the married couple will have adjacent desks? (round your answer to the nearest tenth of a percent.) the probability that the couple has adjacent desks is %. what is the probability that the married couple will have nonadjacent desks? (round your answer to the nearest tenth of a percent.) the probability that the couple has nonadjacent desks is
The probability that the married couple will have adjacent desks is 0.2857and the probability that the married couple will have non-adjacent desks is 0.7143.
Probability is synonymous with potential. It is a branch of mathematics that studies the occurrence of a random event. The number ranges from 0 to 1. In mathematics, probability has been introduced to predict how likely events are to occur.
Given that
Of 7 new employees, 2 employees are married to each other; these 7 employees are to be assigned 7 desks that are lined up in a row.
If the assignment of the employees to the desks is made randomly, we have to find the probability that the married couple will have adjacent desks and will have non-adjacent desks.
Now, the event that the couple has non-adjacent desks is the complement of the event that they have adjacent desks.
Now, first, let us determine in how many ways can the couple have adjacent desks.
Let us consider the married couple as a single entity, that always stays together.
Then, in total, there are 6 entities; 5 non-related employees and 1 married couple.
Now, these 6 can be arranged among themselves in 6! number of ways.
The married couple can have adjacent desks in 2! ways.
So, the favorable number of cases, in which the couple has adjacent desks, is 6!*2!.
Again, 7 employees can be assigned desks in 7! number of possible ways.
That is, the number of all possible cases is 7!.
This means that
P(The couple has adjacent desks)
=6!*2!/7!
=0.2857.
Now,
P(The couple will have non-adjacent desks)
=1-P(The couple will have adjacent desks)
=1-0.2857
=0.7143
Therefore the probability that the married couple will have adjacent desks is 0.2857and the probability that the married couple will have non-adjacent desks is 0.7143.
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What is the area of this triangle?
8cm
6cm
2cm
Answer:
6cm square
Step-by-step explanation:
Solve each equation for y
A. (y- 10) = -3(x - 2)
B. (y-2) = 3(x+1)
C. (y-2 = 1/3(x-3)
Will do brainliest! 100%
Answer:
A. [tex]y=-3x+16[/tex]
B. [tex]y=3x+5[/tex]
C. [tex]y=\frac{1}{3}x+1[/tex]
Step-by-step explanation:
A.
[tex]y-10=-3(x-2)[/tex]
[tex]y-10=-3x+6[/tex]
[tex]y=-3x+16[/tex]
B.
[tex]y-2=3(x+1)[/tex]
[tex]y-2=3x+3[/tex]
[tex]y=3x+5[/tex]
C.
[tex]y-2=\frac{1}{3}(x-3)[/tex]
[tex]y-2=\frac{1}{3}x-1[/tex]
[tex]y=\frac{1}{3}x+1[/tex]
I need help like asap !!!
only numbers and decimal points
Answer:
34 inches
Step-by-step explanation:
[tex]c = \sqrt{ {16}^{2} + {30}^{2} } [/tex]
[tex]c = \sqrt{256 + 900} [/tex]
[tex]c = \sqrt{1156} = 34[/tex]
Answer:
34 inches...................
mikayla lives 4 miles north and 6 miles west of the pizzeria. will the pizzeria deliver to her home?
pizzeria will not deliver to mikayla as distance is out of radius.
Coverage location of pizzeria company.According to question, as the reference with the origin of the circle, it can deliver pizzeria in the radius of 6 miles
According to given data:mikayla lives 4 miles north and 6 miles west,
So, distance of mikayla from company,
By using Pythagoras theorem
Distance = √(4)^2 + (6)^2 = √52 miles
As distance is greater than radius, pizzeria will not deliver to mikayla.
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Daniela needs to rent a car while on vacation. The rental company charges $19.95, plus 18 cents for each mile driven. If Daniela only has $50 to spend on the car rental, what is the maximum number of miles she can drive?
Daniela can drive a maximum of
going over $50. Round your answer to the nearest mile.
miles without the cost of the rental
Answer:
167 miles without the cost of the rental
Step-by-step explanation:
Daniela needs to rent a car while on vacation. The rental company charges $19.95, plus 18 cents for each mile driven. If Daniela only has $50 to spend on the car rental, what is the maximum number of miles she can drive? Round your answer to the nearest mile.
equation: where m = miles driven
50 = 0.18m + 19.95
subtract 19.95 from both sides:
50 - 19.95= 0.18m + 19.95 - 19.95
30.05 = 0.18m
divide both sides by 0.18:
30.05/0.18 = 0.18m/0.18
m = 166.9444
rounded: 167 miles without the cost of the rental
Answer:
167 :)
Step-by-step explanation:
it's math :)
What sentence represents this equation?
8=17-2
8 is the same as 17 decreased by a number
08 is the same as a number decreased by 17.
O A number is the same as the difference of 17 and 8
O 17 decreased by 8 is the same as a number.
The sentence which represents the equation [tex]8\frac{3}{4} = 17-x[/tex] is First Option (i.e. [tex]8\frac{3}{4}[/tex] is the same as the 17 decreased by a number).
What is a number sentence?
A mathematical statement made up of numbers and symbols is called a number sentence. The sentences illustrate many mathematical operations, including addition, subtraction, multiplication, and division.
Given, [tex]8\frac{3}{4} = 17-x[/tex]
where, [tex]x[/tex] is a number and ([tex]17-x[/tex]) represents [tex]17[/tex] is decreased by a number [tex]x[/tex]
And, [tex]8\frac{3}{4}[/tex] will be equal to the [tex]17[/tex] is decreased by a number [tex]x[/tex].
Therefore, the required answer choice will be the first option i.e. [tex]8\frac{3}{4}[/tex] is the same as [tex]17[/tex] decreased by a number.
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What is the sign of 37 + (-37)?
Answer:
not positive or negative
Step-by-step explanation:
It is 0 but i would say it is positive nor negative :)
0, It not really postive or negative
37 + -37 = 0 =
Neither negative nor positive
:/
{2x+7y=-20
{x-3y=16
Solve for systems of equations
By solving the linear equations we get the final values of x = 4 & y = 4.
What is the linear equation?
A linear equation is an algebraic equation of the form y=mx + b, where m is the slope and b is the y-intercept, and only a constant and a first-order term are included.
We have,
2x + 7y = -20 ----------(i)
x - 3y = 16 ----------(ii)
By multiplying equation (ii) with 2 we get,
2x + 7y = -20 ---------(III)
2x - 6y = 32 -----------(IV)
taking subtraction of equations (III) and (IV), we get
y = 4
by putting value of y in equation (ii) we get,
x = 4
Hence by solving the linear equations we get the values of x = 4 & y = 4.
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Describe the end behavior of each fund f(x) = x4 - x2 - x
Answer:
[tex]\lim_{x \to -\infty} f(x) = \infty[/tex] and [tex]\lim_{x \to \infty} f(x) = \infty[/tex]
Hope this helps!
Step-by-step explanation:
what is the acceleration of a softball if it had a mass of .50kg and has a force of 70N when it hits the catchers glove
Answer:
the answer is 1.4N/kg
-2/9 x² -1/9 x² (expanding expressions)
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The final expression of (-2/9)x² - (1/9)x² is (-1/3)x².
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(-2/9)x² - (1/9)x²
Taking out the common.
(-1/9) (2x² + x²)
Adding the like terms.
(-1/9)3x²
-1/9 x (3x²)
(-1/3)x²
Thus,
The final expression of (-2/9)x² - (1/9)x² is (-1/3)x².
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Sohan rolled a number cube 90 times. The outcome of ""6"" occurred 18 times. What is the experimental probability of rolling a 6?
The value of the experimental probability of rolling a 6 is found as 1/5.
Define the term experimental probability?A probability that has been established by a series of tests is called an experimental probability. To ascertain their possibility, a random experiment is conducted and iterated over a number of times; each iteration is referred to as a trial. The purpose of the experiment is to determine the likelihood that a particular occurrence will occur or not.For the given question-
Sohan made 90 turns of the number cube. There were 18 occurrences of the result of "6."Thus, by the definition of the probability-
Probability (getting 6) = number of occurred outcomes/ Total outcomes
Probability (getting 6) = 18/90
Probability (getting 6) = 1/5
Thus, the value of the experimental probability of rolling a 6 is found as 1/5.
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graph y = 1/4 x I dont know how to do
(Excuse me if this doesn't make sense).
Your formula would be (4,1)
Your zero is (0,0)
To graph it:
If your y is 1, your x is 4
If your y is 2, your x is 8.
There's a video for this if my explanation and photo doesn't help
Help!! In two or more sentences , explain how to find the time it takes for a rocket following the path h(x)= -4x^2 + 16x to hit the ground
The time it takes for a rocket following the path h(x)= -4x² + 16x to hit the ground is 4 seconds.
How to find the time for a rocket to hit the ground?
The given path equation is a function of x which is a time variable here. When the rocket hits ground, height of the rocket gets zero.
Hence equating the equation of height to zero and solving for x will give the time required for the rocket to hit the ground.
According to the given question:
We are given equation for height as
h(x) = -4x² + 16x
where x is the time in seconds
When object hits the ground the height becomes 0
So, we can set h(x) = 0 and then we can solve for x
-4x² + 16x = 0
Dividing by -4x from both sides
x - 4 = 0
x = 4 sec
So, the time it takes for a rocket to hit the ground is 4 seconds.
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A grocery store has salmon fillets on sale for $8.30 per pound. Mrs.patrolia buys
not sure how much she bought, but all you’d have to do is multiply the cost of salmon fillets ($8.30) times the amount she bought.
Example: if Mrs. Patrolia bought 3 pounds it would be $8.30 x 3.
pls help me with this
Answer:
31-6/1-1
=25/0
=undefined
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4, −3)? y 3 = −4(x 4) y 3 = â€"one-fourth(x 4) y 3 = one-fourth(x 4) y 3 = 4(x 4)
The equation of the straight line, in point-slope form, is
[tex]y +3 = \frac{1}{4} ( x + 4)[/tex]
we have , the required line is perpendicular to the given line.
Also let us take any two coordinates of the given line , like (-1 , 1 ) and
( 0 , -3) . So the slope (m₁) of given line = [tex]\frac{y2 -y1}{x2 - x1 }[/tex]
m₁ = -4
as the required line is perpendicular to the given line so , we know
for two perpendicular lines
m₁ m₂ = -1
therefore , m₂ = 1/4
Now the required line passes through (-4,-3)
and the equation of straight line in point slope form is given by
[tex](y_{} - y_{1}) = m (x - x_{1} )[/tex]
here m = 1/4
y₁ = -3
x₁ = -4
therefore the required equation in point-slope form is
y + 3 = 1/4 ( x +4 )
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What is the difference in average speed between two cars, one that traveled 160
kilometers in 5 hours, and the other that traveled 140 kilometers in the same
amount of time?
(Average speed = total distance + total time)
32 kilometers per hour
28 kilometers per hour
( 4 kilometers per hour
60 kilometers per hour
The difference in average speed between two cars is 4 kilometers per hour . Average speed of cars are 32 kilometers per hour and 28 kilometers per hour. The average speed is the total distance traveled by the object in a particular time interval.
How To calculate average speed ?The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path.
Both can be measured and quantified since they are physical quantities. Both phrases refer to moving bodies alone; they do not refer to static bodies.
Average speed of first car = total distance / total time
= 160/ 5 = 32
Average speed of second car = total distance / total time
= 140/ 5 = 28
The difference in average speed between two cars = 32 -28= 4
4 kilometers per hour is the difference
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Please help asap this is 2 weeks overdue i need to know which answer it is
The inequality for this graph is:
x<2
the local theater has three types of seats for broadway plays: main floor, balcony, and mezzanine. main floor tickets are $60, balcony tickets are $42, and mezzanine tickets are $40. one particular night, sales totaled $107,588. there were 152 more main floor tickets sold than balcony and mezzanine tickets combined. the number of balcony tickets sold is 432 more than 3 times the number of mezzanine tickets sold. how many of each type of ticket were sold?
z = 134 (number of mezzanine units sold)
b = 834 (number of balconies sold)
m = 1120 (number of main floor sales)
Equations:
60m + 42b + 40z = 107,588
m = b + z + 152
b = 3z + 432
Substitute for "b" to get m = 4z + 584
------
Substitute for m and b and solve for "z"::
60(4z+584) + 42(3z+432) + 40z = 107588
240z + 35040 + 126z + 18144 + 40z = 107588
406z + 53184 = 107588
406z = 54404
z = 134 (# of mezzanine sold)
Solve for "b" and for "m" using z = 134
b = 3(134) + 432
b = 834 (# of balcony sold)
m = 834 + 134 + 152
m = 1120 (# of main floor sold)
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