Find the mean of the sampling distribution of sample means using the given information. Round to one decimal place, if necessary. μ=51 and σ=9; n=36
The sample mean of the distribution is an estimate of the population mean
The mean of the sampling distribution of sample means is 51
How to determine the meanThe given information are:
Population mean, μ = 51
Standard deviation, σ = 9
Sample size, n = 36
The sample mean is an estimate of the population mean.
So, we have:
[tex]\bar x = \mu[/tex]
Substitute known values
[tex]\bar x = 51[/tex]
Hence, the mean of the sampling distribution of sample means is 51
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Solve the equation f(x) = -9. What is f^-1(-9)?
Answer: f(x) = 9 //////
Don claims that perpendicular lines are lines that intersect such that at least one of the angles is a right angle.
Determine whether each statement below justifies the claim. Select Yes or No for each statement
Yes No
Intersecting lines allow for the creation of four angles with a common vertex
If one of the angles is a tight angle, the angle vertical to it must also be a right angle
Because near pals are complementary the remaining two angles must also be right angles
A) Intersecting lines allow for the creation for angles with a common vertex
B) if one of the angles is a right angle, the angle the vertical to it must also be a right angle
Step-by-step explanation
C) is not true because linear pairs are supplementary not complementary because a line = 180°
B) it’s true because they are corresponding vertical angles
A) it’s true because they all have the same starting point or vertex
The statements that justifies don's claim about perpendicular lines being lines that intersect such that at least one of the angles is a right angle are; Option A; Intersecting lines allow for the creation of four angles with a common vertex.
Option B; If one of the angles is a tight angle, the angle vertical to it must also be a right angle
This is about perpendicular lines and whether they form right angles upon intersection. To answer this, let us look at the options; Option A; Yes, this statement is true because when a perpendicular line intersects another one, they will form 4 angles since they will all have the same starting point or common vertex.Option B; Yes, this statement is true because from corresponding angles theorem, we can say that they are corresponding vertical angles because they are congruent due to the transverse perpendicular line.Option C; No, this statement is not true because the angles would form linear pairs and as such since angles on a line sum up to 180°, it will also occur here and as such we can say they are supplementary angles.Read more at; brainly.com/question/18373668
Cecilia simplified an expression. Her work is shown below.
(6 and one-half + 2 and three-fourths) minus 1.5 times (4.5 divided by 0.5)
Step 1 9 and one-fourth minus 1.5 times (4.5 divided by 0.5)
Step 2 7.75 times (4.5 divided by 0.5)
Step 3 7.75 times 9
Step 4 69.75
Where did Cecilia make her first mistake?
step 1
step 2
step 3
step 4
Answer: second step.
Step-by-step explanation:
you then have to distribute the answer not subtract 9 1/4 from 1.5
you have to do the parenthesis next
4.5/0.5=45/5=9
then
1.5*9= 13.5
then
9.25-13.5 which I think you are capable of solving
Answer:
Step 2Step-by-step explanation:
Given work on simplification
(6 and one-half + 2 and three-fourths) minus 1.5 times (4.5 divided by 0.5) (6 1/2 + 2 3/4) - 1.5 (4.5 ÷ 0.5)Step 1 9 and one-fourth minus 1.5 times (4.5 divided by 0.5)
9 1/4 - 1.5 (4.5 ÷ 0.5)This is ok as first step is solving parenthesisStep 2 7.75 times (4.5 divided by 0.5)
7.75 (4.5 ÷ 0.5)Incorrect, subtraction should be the last step
Which situation could be described by the following expression: 6(n+3) *
The possible results of an experiment are called its
which expression is eqivalent to 9a +12
[tex]3(3a + 4)[/tex]
this the anwers
Answer:
An easy way to do it,is just multiply both terms by a number 2 (9a+12)=18a+24 it doesn't have to be 2, it can be any number
Hope this Helps:)
Find the values of a, b, and c such that the equation y=ax2+bx+c has ordered pair solutions (1,16), (−1,−2), and (0,−1). To do so, substitute each ordered pair solution into the equation. Each time, the result is an equation in three unknowns, a, b, and c. Then solve the resulting system of three linear equations in three unknowns, a, b, and c.
Answer:
c = -1
b = 9
a = 8
Step-by-step explanation:
16 = a × 1² + b × 1 + c
-2 = a × (-1)² + b × (-1) + c
-1 = a × 0² + b × 0 + c .........-> -1 = c
16 = a + b + c
-2 = a - b + c
16 = a + b - 1
-2 = a - b - 1
a + b = 17
a - b = -1 .......-> a = b - 1 ........ a = 9 - 1 = 8
(b - 1) + b = 17
2b - 1 = 17
2b = 18 .......-> b = 18/2 = 9
Answer:
y = 8x² +9x -1
Step-by-step explanation:
The coefficients of the quadratic function can be found from three points by substituting the point values into the equation and solving for the coefficients.
The equation we want to find coefficients for is ...
y = ax² +bx +c
For point (1, 16), the equation is 16 = a(1²) +b(1) +c
For point (-1, -2), the equation is -2 = a(-1)² +b(-1) +c
For point (0, -1), the equation is -1 = a(0) +b(0) +c
__
The last of these equations gives a value for c (c=-1). Substituting that into the other two gives the equations in a and b as ...
a + b = 17
a - b = -1
Adding the two equations gives ...
2a = 16 ⇒ a = 8
Subtracting the second from the first gives ...
2b = 18 ⇒ b = 9
Then the desired quadratic equation is ...
y = 8x² +9x -1
Describe an “easy” method when multiplying or dividing a decimal by powers of ten.
Answer:
Move the decimal.
Step-by-step explanation:
Multiply by 10, move decimal place one place to the left. Divide by ten, move one to the right.
The length of a rectangle is 20sq ft. Find the length and the width
Answer:
Step-by-step explanation:
5 or 4 can be the length. And 5 and 4 can be the width.
length: 5, 4, 2, 10, etc.
width: 5, 4, 2, 10, etc.
the numbers listed above are options. Multiply the numbers.
And
.
there are many more, but these are commonly used. Hope it helps!
Find the measure of angle b.
A glass holds 189 milliliters of juice. How many liters will 36 glasses hold?
(A) 6,804
(B) 680.4
(C) 68.04
(D) 6.804
Answer:
A
Because you have to Multiply
189 by 36
the carpenter is tasked to fence a trapezoid lot whose sides are as follows : 9x, 8x-2, 17x-6 and 5x+1, where x represents the length of the piece of wood in meters that will be used. what expression could represent the total length of trapezoid to be fenced?
not necessarily. The two sides of equal length could be adjacent sides.
Which point would map onto itself after a reflection across the line y=-x? O(4,-4) O(4,0) O(0, 4) O (4, 4)
Answer: well it’s not b or c so I’m guess it (4,-4) if I’m wrong I’m sorry
Step-by-step explanation:
I’m taking it on edge 2020 rn
The point O(4,-4) would map onto itself after a reflection across the line y=-x.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
To find out which point would map onto itself after a reflection across the line y=-x, we need to reflect the given points across the line and see which one ends up in its original position.
The reflection of a point (x, y) across the line y=-x is (-y, -x).
Let's apply this formula to each given point:
The reflection of O(4,-4) across y=-x is (-(-4), -4) = (4, -4), which is same as the original point.
The reflection of O(4,0) across y=-x is (0, -4), which is not the same as the original point.
The reflection of O(0,4) across y=-x is (4, 0), which is not the same as the original point.
The reflection of O(4,4) across y=-x is (-4, -4), which is not same as the original point.
Therefore, the point O(4,-4) would map onto itself after a reflection across the line y=-x.
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Hey besties! Can you solve this question i will make you brainlist
three friends shared a basket of strawberries. Sue got 2/7 of the strawberries. Jim got 54 more strawberries than sue. Dan got 78 strawberries. How many strawberries were there in the basket.
Answer:
Step-by-step explanation:
Let x be the total no. of strawberries, Let Sue be "S", Let Jim be "J" and Dan be "D"
S = 2x/7
J = 54+S -> J = 54+(2x/7)
D = 78
J+D = 5x/7
54+(2x/7)+78 = 5x/7
132+2x/7 = 5x/7
132 = (5x/7)-(2x/7)
132 = 3x/7
132*7 = 3x
924/3 = x
x = 308.
Therefore, there were initially 308 strawberries in the basket.
Of which; Sue had two-sevenths: 88, Jim had 142 and Dan had 78
To verify our answer, add these to see if we get 308
S+J+D = 308
88 + 142 + 78 = 308
June is driving from Brookline, Massachusetts to Brooklyn, new york. The cities are 200 miles apart. Pretend June lives in a world in which she encounters no traffic jams and can drive at a constant speed of 50mph the entire way. Consider the following function. the distance June has traveled, c, is a function of her driving time, t.
It took June 4 hours to get from Brookline to Brooklyn.
Time calculationGiven that June is driving from Brookline, Massachusetts to Brooklyn, New York, and the cities are 200 miles apart, and she can drive at a constant speed of 50mph the entire way, to determine the function that solves the time June takes to complete the route, the following calculation must be made:
C / Constant speed = T200 / 50 = T4 = T
So it took June 4 hours to get from Brookline to Brooklyn.
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Answer:
4 hours
the time(t)=4
Five less than the quotient of a number and 4 is equal to – 12.
a). Translate the statement into a mathematical equation.
b). Solve the equation and show all your work. Check your answer.
Step-by-step explanation:fcvrrctygb
The statement into a mathematical equation form is given as -
(x/4 - 5) = - 12 and on solving the equation, we get x = - 28.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the statement -
"Five less than the quotient of a number and 4 is equal to -12"
We can write it as equation -
(x/4 - 5) = - 12
Solving the equation, we get -
x/4 = - 12 + 5
x/4 = - 7
x = - 28
Therefore, the statement into a mathematical equation form is given as -
(x/4 - 5) = - 12 and on solving the equation, we get x = - 28.
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Since the war has started, you have lost 1/4 of your total body weight. If you now weigh 150 lb, how much did you weigh when the war started?
Answer:
200
Step-by-step explanation:
1/4 of 150 would be 50
If you lost 1/4 of 200
200 - 50
You would get 150
Therefore your answer is 200
Also, think of it this way, if you lost 1/4 of your body weight, 150 is 3/4 of your entire body weight- so the other 1/4 would be 50
50 x 4 = 200
1/4 = 50
2/4 = 100
3/4 = 150
4/4 = 200
Franco grew 2,820 flowers with 47 seed packets. With 67 seed packets, how many total flowers can Franco have in his garden? Assume the relationship is directly proportional.
Answer:
941
Step-by-step explanation:
2. Which is the absolute value of 9 and -9?
А -9
с 9
В 0
Answer:
0
Step-by-step explanation:
9-9=0
-9 is basically symbolizing subtraction
Given p: Today is October 6 and q: Today is Nina's birthday.
Match the conditional statement to its symbolic form.
----
If today is Nina's birthday, then it is October
6.
qp
If today is not October 6, then it is not Nina's
birthday
p>
If it is not Nina's birthday, then today is not
October 6.
---
If today is October 6, then it is Nina's
birthday
Answer:
Step-by-step explanation:
Please help me with this
Answer:
Step-by-step explanation:
to make life easier, i'll give both angles letters
Angle ABC= x
Angle CBD= y
x= y(1/3)
x+y=180
now substitute
y(1/3) +y =180
y(4/3) =180
y(4/3) * (3/4) = 180 * (3/4)
y= 135
CBD is 135 degrees
In a recent year , 1286 female deer were born in Clark country.That is 93 fewer than the number of male deer born .How many male deer were born that year?
Answer:
1382 Male deer.
Step-by-step explanation:
1289 + 93 = 1382
Find the missing side lengths.
Answer:
a.180-10
[tex]180 - 10 \sqrt{3 } - 60[/tex]
=use your calculator
what value will(i)raised to power 8 give?
[tex]i = \sqrt{ - 1}[/tex]
[tex]i {}^{2} = - 1[/tex]
[tex]i {}^{ 3} = - 1 \sqrt{ - 1} [/tex]
[tex]i {}^{4} = 1[/tex]
[tex]i {}^{8} = i {}^{4} \times i {}^{4} = 1 \times 1 = 1[/tex]
What is the 6th term in the following sequence?
48, 40, 32, 24,
A.0
B.16
C.20
D.12
Answer:
should be 8 unless the first term is 56? or the question asks for 5th term which is 16
Step-by-step explanation:
Difference between 1st term and 2nd:
48-40 =8
Difference between 2nd term and 3rd:
40-32 =8
Clearly the jump between 1 point and the next is subtracting 8 or adding -8:
so 5th term will
24-8 =16
6th term:
16-8 =8
Answer:
16
Step-by-step explanation:
d=8
a=T1-d
48-8=4
T6=T5-d=8
The dimensions of this figure are changed so that the new surface area is exactly 12 what it was originally.
What is the new surface area?
Enter your answer as a decimal in the box.
yd²
Complex solid composed of rectangular prisms in an L shape. The height of the taller side of the L shape is labeled 8.4 yd. The height of the shorter side of the L shape is labeled 3.8 yd. The width of the of the shorter section of the L shape is labeled 4.3 yd. The length of the taller section of the L shape is labeled 10.1 yd and the width is labeled 2 yd. PLEASE HELP
Answer:
The answer is 181.61.
Answer: 181.61 :)
Step-by-step explanation:
Can you help me please i will give you a branlist and make sure it roght
Answer:
x=20
Step-by-step explanation:
A câmera is capable of snapping 1/2 of a picture per second how long will it take the camera to snap 6 pictures
Answer: 12 seconds
Step-by-step explanation:
Step 1: Find the unit rate
1÷0.5=2
1 picture takes 2 seconds
Step 2: Find amount of time taken to snap 6 pictures
2*6= 12
Write answer as an order pair
y=3x-4
Y=2 or 5x + 9
1) (1, -1), (0, -4), (3, 5), and (-2, -10).
2) (5, 2) and (-8, 2)