2 fewer than the quotient of a and 5
(x/5)-2
#CarryOnLearningThe times to pop a 3.4-ounce bag of microwave popcorn without burning it are Normally distributed with a mean
time of 140 seconds and a standard deviation of 20 seconds. A random sample of four bags is selected and the
mean time to pop the bags is recorded. Which of the following describes the sampling distribution of all possible
samples of size four?
This question is solved using the central limit theorem, giving an answer of:
Fourth option, approximately normal with mean of 140 seconds and standard deviation of 10 seconds.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 140, standard deviation of 20, sample of 4:
By the Central Limit Theorem, the distribution is approximately normal.
Mean is the same, of 140.
[tex]n = 4, \sigma = 20[/tex], thus:
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{20}{\sqrt{4}} = 10[/tex]
Thus, the correct answer is:
Fourth option, approximately normal with mean of 140 seconds and standard deviation of 10 seconds.
For another example of the Central Limit Theorem, you can check https://brainly.com/question/15519207
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
To collect data from a large group, take a _____________.
A. random sample
B. poll using a clip board
C. telephone call
D. mailed survey
Answer:
D
Step-by-step explanation:
Survey is the easiest, best, and fastest way o collect data.
(especially from if it's large)
I hope this helped!!15 people are sharing $482 fairly between them. How many dollars should each person take?
Sin(a+b)=?
Cos(a+b)=
Answer:
sin (a+b)= sina*cosb - sinb*cosa
cos (a+b) = cosa*cosb + sina*sinb
Answer:
sin (A + B) = sin A cos B + cos A sin B
cos (A + B) = cos A cos B - sin A sin B
on:
An average of 20 apples were sold from Monday to Friday. After the sales on Saturday and Sunday, the average apples sold per day increased to 33. How many apples were sold on Saturday and Sunday?
Someone help please.
Answer:it could b phase shift but i think that u would have 2 put it on the axis 2 really get it but that is what is thought n our grade but axis
Step-by-step explanation:
Express it in slope
Enter the corre
000
Clear all
-8
8
In slope-intercept form
In this question, we are given two points, (0,0) and (-8,8), and we want to find the equation of the line in slope-intercept formula.
Slope-intercept formula:
The equation of a line, in slope-intercept formula, is given by:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of y when x = 0)[/tex]
Point (0,0):
This means that when [tex]x = 0, y = 0[/tex], and thus, the y-intercept is [tex]b = 0[/tex], and the equation of the line is:
[tex]y = mx[/tex]
Slope:
When we have two points, the slope is given by the change in y divided by the change in x.
In this question, the two points are (0,0) and (-8,8).
Change in x: -8 - 0 = -8
Change in y: 8 - 0 = 8
Slope:
[tex]m = \frac{-8}{8} = -1[/tex]
Thus, the equation of the line, in slope-intercept formula, is:
[tex]y = -x[/tex]
For another example of an equation of a line in slope-intercept formula, you can check https://brainly.com/question/21010520
The equation of the line that passes through [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex] is [tex]y = -x[/tex].
According to the statement, we know the location of two Points: [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex], and must derive the Equation of the Line from this information, whose procedure is described below:
1) Determine the Slope of the line by the Slope Equation for Secant Lines.
2) Use ([tex]x_{1}, y_{1}[/tex]) in the Equation of the Line and solve for the Intercept.
3) Write the resulting Equation of the Line.
Step 1:
The slope of a secant line ([tex]m[/tex]) is calculated from the following formula:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] (1)
If we know that [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex], then the slope of the line is:
[tex]m = \frac{8-0}{-8-0}[/tex]
[tex]m = -1[/tex]
Step 2:
The equation of the line is Slope-Intercept Form is now represented:
[tex]y = m\cdot x + b[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]b[/tex] - Intercept.
If we know that [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex]m = -1[/tex], then the intercept of the equation of the line is:
[tex]0 = -1\cdot (0) + b[/tex]
[tex]b = 0[/tex]
Step 3:
And the equation of the line that passes through [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex] is [tex]y = -x[/tex].
Related question: https://brainly.com/question/18894159
Match the arc or central angle to the correct measure based on the figure below.
Answer:
a. 50 degrees
b. 130 degrees
c. 180 degrees
d. 230 degrees
a. 50°
b. 130°
c. 180°
d. 230°
what is geometry?geometry, the department of mathematics deals with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space.
various shapes in geometry have different angle measures. as an example: A triangle is a 3-sided shape and the sum of its 3 interior angles is 180˚ A square, rectangle or quadrilateral are 4-sided shapes, and the sum of their four interior angles is 360˚
Learn more about geometry here
brainly.com/question/25766008
#SPJ2
A hobby store prices model train track using a proportional relationship between the length of track (in inches) and the cost in dollars.
If 6.4
6
.
4
inches of track costs $16
$
16
, what is the constant of proportionality?
Answer:
If... 6.4 inches : 16 dollars
Then... 32 inches = 80 dollars.
And, 1 inch of track = 80/32 dollars.
80/32 = 2.5.
So, the answer is: 1 inch of track costs 2.5 dollars.
The constant of proportionality is $2,50.
The equation used to represent direct proportionality is: y = kx
Where:
y = dependent variable
x = independent variable
k = constant of proportionality
Here, the dependent variable is the cost of the track. The independent variable is the length of the tracks.
$16 = 6.4k
k = 16 / 6.4 = $2.5
A similar question was answered here: https://brainly.com/question/17033082
can anyone help me with this?
Answer:
Step-by-step explanation:
a + 45 + 70 = 180 45 becomes an interior angle by being opposite a given vertically opposite angle.
a + 115 = 180 Subtract 115 from both sides
a = 65
b + 68 + 65 = 180 A straight line is 180 degrees.
b + 133 = 180
b = 180 - 133
b = 47
In the triangle b + c + 100 = 180
b = 47
47 + c + 100 = 180
147 + c = 180
c = 33
If C is an exterior angle then C + 33 = 180
C = 147
You have to decide whether c is an interior angle ( in which it is 33) or an exterior angle (in which case it is 147).
The point (-3,-1) is the midpoint of (x,y) and (5,4). Find the point (x,y).
Answer:
(-11, -6)
Step-by-step explanation:
Find the distance between the midpoint, (-3, -1) and (5, 4). This can be calculated by finding the difference between the x coordinates and y coordinates.
-3 - 5 = -8 (distance between x coordinates)
-1 - 4 = -5 (distance between y coordinates)
Find the point (x, y) by subtracting 8 from the midpoint's x value, and then subtracting 5 from the midpoint's y value.
-3 - 8 = -11
-1 - 5 = -6
So, the point (x, y) is (-11, -6)
can you help me find the slope intercept on the second one?
Answer:
y= 8x + 5
Step-by-step explanation:
y = 8x + b
5 = 8(0)+b
b = 5
help please area geometry !!
Answer:
37.5 cm^2
Step-by-step explanation:
The area of a parallelogram is
A = bh where b is the base and h is the height
A = 7.5 * 5
A = 37.5 cm^2
Answer:
A = 37.5 cm²
Step-by-step explanation:
The area of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 7.5 and h = 5 , then
A = 7.5 × 5 = 37.5 cm²
Franklin used the polynomial expression x(x−3)(x+4) to model the volume of a rectangular prism. What is the length of the shortest side of this prism? A x B x−3 C x2−3x D x3+x2−12x
Answer:
[tex]x - 3[/tex]
Step-by-step explanation:
Given
[tex]Volume = x(x - 3)(x + 4)[/tex]
Required
The shortest side
The volume of a rectangular prism is:
[tex]Volume = Length * Width * Height[/tex]
By comparison, we have:
[tex]Length = x[/tex]
[tex]Width = x-3[/tex]
[tex]Height = x + 4[/tex]
In ascending order, the sides are:
[tex]Width = x-3[/tex]
[tex]Length = x[/tex]
[tex]Height = x + 4[/tex]
This is so because:
Irrespective of the value of x
x - 3 will be less than x
x + 4 will be more than x
Hence, the shortest length is:
[tex]Width = x-3[/tex]
Answer:
b
Step-by-step explanation:
What is
f(x)=(x-2)(x-6) in standard form
U is the centroid of ∆SRT. What is the length of segment UV if length of UT = 3 cm?
Answer:
1.5 cm
Step-by-step explanation:
Since U us the centroid, the ratio between UV and UT is 1:2, UT = 3
so UV = 3/2 = 1.5 cm
How is 1.35 x 10-5 written in standard notation?
A.
135.000
C.
0.00000135
Answer:
C.
Brainliest, please!
Step-by-step explanation:
A negative exponent means that the number is really small, which is true in this case.
Answer:
0.00000135
Step-by-step explanation:
1.35 x 10-5 means,
1.35/100000
=>0.00000135
What is the perimeter of the right triangle with legs (2x + 1) feet and (4x - 4) feet and hypotenuse (4x - 1) feet? Give your answer in terms of x in the simplest form.
Answer:
10x-4 feet
Step-by-step explanation:
The perimeter is the amount of the sides together so add the three sides together
2x+1+4x-4+4x-1
Combine like terms
10x-4
(You can also factor out 2 but that would not be simplest --> 2(5x-2))
Malia tried to prove that cos pheta = sin 90 degrees - pheta using the following diagram. her proof is not correct.
Answer:
Malia used the wrong sides in her ratio for sin (90-0)
Step-by-step explanation:
Got it right on Khan academy
-4.326 + (-0.32) ÷ 0.4
Answer:
-5.126
Step-by-step explanation:
PEMDAS
-4.326 + (-0.32) ÷ 0.4
-0.32 ÷ 0.4
= -0.8
-4.326 + (-0.8)
= -4.326 - 0.8
= -5.126
Does this graph show a function? explain how you know
A biology class has a total of 35 students. The number of females is 11 less than the number of males. How many males and how many females are in the class?
Answer:
23 males and 12 females
Step-by-step explanation:
x = # of females
y = # of males
x + y = 35
x + x + 11 = 35
2x + 11 =35 (SUBTRACT 11 FROM BOTH SIDES)
2x = 24 (DIVIDE BOTH SIDES BY 2)
x = 12 females
x + y =35
12 + y = 35 (SUBTRACT 12 FROM BOTH SIDES)
y = 23 males
23 males + 12 females = 35 students
“Write an equation in standard form of the horizontal line that goes through (-7, 10)”
Answer:
Step-by-step explanation:
A horizontal line is only concerned with the y value. The equation is y = 10 because that is the point that the line must go through.
The x value does not matter as long as the y value is given as 10. The domain is any real value. The range is 10
A deposited 7500 Dollars in a bank and received interest of 900 Dollars after one year. B received interest of 1440 Dollars after one year at the same rate. How much did B deposit in the bank?
Answer:
If the rate of interest is 12% than the answer is 12000
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Evaluate the expression when a=-6.
a^2 + 5a - 5
Answer:
61
Step-by-step explanation:
(6)^2+5(6)-5
=36+30-5
=61
Answer:
1
Step-by-step explanation:
[tex]( - 6) {}^{2} + 5 \times - 6 - 5 \\ 36 - 30 - 5 \\ 36 - 35 \\ = 1[/tex]
Subtract these polynomials.
(3x^2 - 2x + 5) - (x^2 + 3) =
O A. 4x² - 2x + 2
OB. 4x^2 - 2x + 8
O C. 2x^2- 2x + 8
D. 2x^2- 2x + 2
1.
Which of the quadratic functions has the widest graph?
O y = 1/3x2
O y = -5/4x2
Answer:
y = -5/4x^2
Step-by-step explanation:
I'm assuming the 2 are the exponents. Make sure to use ^ to type exponents.
Green = 1/3x^2
Blue = -5/4x^2
Solve the inequality.
|11 – xl < 20
[?] < x < [ ]
Answer:
-9<x<31
Step-by-step explanation:
|11 – xl < 20
There are two solutions, one positive and one negative, remember to flip the inequality for the negative
11-x < 20 and 11 -x > -20
Subtract 11 from each side
11-x-11 <20-11 and 11-x-11 >-20-11
-x <9 and -x > -31
Multiply each side by -1, remembering to flip the inequality
x>-9 and x< 31
-9<x<31
Match each figure with the number of edges it has.
6
12
8
9
5
10
rectangular prism
rectangular pyramid
triangular pyramid
triangular prism
Answer:
Rectangular prism- 12 edges
Rectangular pyramid- 8 edges
Triangular pyramid- 6 edges
Triangular prism- 9 edges
I hope this helps!
A county fair sold 1,750 tickets, each of which was either an adult or children's ticket, and earned a total of \$27,000. The fair earned 25\% more from adult tickets than from children's tickets, but sold 25\% fewer adult tickets than children's tickets. How much did a children's ticket cost
Answer:
Step-by-step explanation:
Let the number children tickets = c
Number of adult tickets = 75% of c = 0.75c
c + 0.75c = 1750
1.75c = 1750
c = 1750/1.75 = 1000
Number of children = 1000
Number of adults = 75% of 1000 = 750
Cost of adult ticket = $ x
Cost of child ticket = 75% of x = 0.75x
Cost of 750 adult ticket = 750x
Cost of 1000 children ticket = 1000 * 0.75x = 750x
750x + 750x = 27000
1500x = 27000
x = 27000/1500
x = $ 18
Cost of adult ticket = $ 18
Cost of children ticket = 75% of 18 = 0.75 * 18 = $ 13.5
Cost of children's ticket = $ 13.50
