The sample mean is an estimate of the population mean.
The sample mean is exactly equal to the population mean
How to determine the true statement
When the population mean is known; the value of the population mean can be used as the sample mean.
This is so because:
The sample mean is an estimate of the population mean.
And it is represented as:
[tex]\bar x = \mu[/tex]
Hence, the true statement is that the sample mean is exactly equal to the population mean
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Monica is three years younger than Lori. Monica is 29 years old. write an equation that can be used to determine Lori's age
Answer:
[tex]x=32[/tex]
Based on the given conditions, formulate:
[tex]x-3=29[/tex]
Rearrange variables to the left side of the equation
[tex]x=29+3[/tex]
Calculate the sum or difference
[tex]x=32[/tex]
I hope this helps you
:)
find the distance from the point (6,4) to the line y=x+4
9514 1404 393
Answer:
3√2
Step-by-step explanation:
The distance from point (x, y) to the line ax+by+c=0 is given by ...
d = |ax +by +c|/√(a²+b²)
In general for, the equation of the line is ...
x -y +4 = 0
so the distance formula is ...
d = |x -y +4|/√(1² +(-1)²) = |x -y +4|/√2
For the given point, the distance is ...
d = |6 -4 +4|/√2 = 6/√2
d = 3√2 . . . . distance from the point to the line
Find the equation of the line passing through (-4,-2) and having a slope of 0.
Using the point-slope form:
⇒ [tex](y-y0) = m(x-x0)[/tex]
Which require one point (x0,y0) on the line and the slope (m)
(x0,y0) --> (-4,-2)m --> 0Thus let us plug int the value
[tex](y + 2) = 0(x + 4)\\y + 2 = 0\\y = -2[/tex]
Thus the equation of the line is y = -2
Hope that helps!
Write 2350 million in standard form.
Answer:
2,350,000,000
Step-by-step explanation:
hope this helps
Given f (x) = 5x + 1, find f(0).
Answer:
1
Step-by-step explanation:
5(0)+1=1 because 5x0=0 then add the 1
The value of the function f (x) = 5x + 1 at x equal to zero will be 1.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given function is f (x) = 5x + 1. The value of the function at x equal to 0 will be calculated as below:-
f (x) = 5x + 1
f (0) = 5 x 0 + 1
f (0) = 0 + 1
f (0) = 1
Therefore, the value of the function f (x) = 5x + 1 at x equal to zero will be 1.
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Practice Exercise 1:
1. Given the polynomial functionp(x) = 12 + 4x - 3x2 – x3, find
(a) The degree of the polynomial
(b) The leading coefficient
(c) The constant term
(d) The number of zeroes
Answer:
Step-by-step explanation:
A
hey can someone help me I pay you £50
Answer:
x= 31 degrees
Step-by-step explanation:
122x2=244
360-244 = 116
116/2 = 58
z= 91 degrees
so the inside next to corner b is 58 degrees
91 + 58 = 149
180 - 149 = 31
x = 31
8.25 halfway to the nearest tenth
Answer:
10
Step-by-step explanation:
HELP will mark brainlesest
Answer:
the angles and side length will stay the same
Step-by-step explanation:
it's a rigid translation, meaning that the shape doesn't change
Round this answer (1,417.4) to the nearest tenth of a gram. can someone please so very kindly help me with this ASAP!
Answer:
1417.4 if they are looking for a whole number the answer is 1417
Step-by-step explanation:
Hope this helped :)
P.S. If this is wrong please let me know
PLEASE HELP! GIVING BRAINLIEST!
You have a piece of canvas that you want to paint. You have enough paint to cover
252 square inches. You know you want one side to be 14 inches. How long should
the other side be if you want to use up all the paint?
show your work
Answer:
18 inStep-by-step explanation:
The area = 252 in²
One side = 14 in
The other side = x
The area of a rectangle is a product of 2 sides
14x = 252x = 252/14x = 18 inAnswer:
h = 18 in.Step-by-step explanation:
Area of a rectangular canvas = base x height (A = b*h)
where A = 252 in²
b = 14 in
find: height (h)
solution:
just plugin the values into the formula:
252 = 14 * h
h = 252 / 14
h = 18 in
Five-sevenths of the T-shirts in a T-shirt shop are blue. Seven-ninths of those T-shirts are on sale. One-fifth of the blue T-shirts that are on sale are size medium. What fraction of the shop's T-shirts are blue T-shirts that are on sale and are size medium? Explain
Answer:
2/5
Step-by-step explanation:
If you take 5/7//9+82+23=2-5
PLEASE HELP❤️❤️❤️❤️❤️❤️❤️
Answer:
9.10938
Step-by-step explanation:
pls help :((
i rlly appreciate it ^_^
FALSE
7Y= 1 --> Y= ⅐ NOT 7
so it can't be it's solution
HOW MANY BRAINLIES POINTS SHOULD I MAKE THIS QUESTION???
PHOTO ATTACHED
a) Which country had the lowest number of overall medals among the ten countries?
b) Which country/countries competed in the least number of games?
c) What is the mode in the number of games countries participated in?
d) What is the range between the gold medals awarded to the 10 countries?
e) How many countries got more silver medals than bronze medals?
f) Apart from the United States, which country/countries got more gold medals, more silver medals and more bronze medals than Great Britain?
g) In comparing the number of games a country participated in and the overall number medals received, which country did the best (ie highest number of metals recived per game )? Show your work
h) Using the given Data, give TWO likely reasons why a country like Jamaica does not feature in the top 10 medals even though it does very well in athletics.
i) Using the given information, determine the medal category in which the United states far outperformed its closest competitor. Show your work.
j) Which 3 countries had the most evenly distributed number of goals. Silver and bronze medals (i.e. least smallest range)? Show your work.
Answer:
I think it should be 30-40 brain points, because there's too much questions.
Find the slope of the line passing through each of the following pairs of points and draw the graph of the line. (−1, 4), (−1, −3)
Answer:
The slope is undefined.
Step-by-step explanation:
M = Y2 - Y1
X2 - X1
M = -3 - 4
-1 - (-1)
M = -7
0
M = Undefined
what is 1 +1 pls HELP
Answer:
2
Step-by-step explanation:
Subject: Re: Need the math proof for 1 + 1 = 2
The proof starts from the Peano Postulates, which define the natural
numbers N. N is the smallest set satisfying these postulates:
P1. 1 is in N.
P2. If x is in N, then its "successor" x' is in N.
P3. There is no x such that x' = 1.
P4. If x isn't 1, then there is a y in N such that y' = x.
P5. If S is a subset of N, 1 is in S, and the implication
(x in S => x' in S) holds, then S = N.
Then you have to define addition recursively:
Def: Let a and b be in N. If b = 1, then define a + b = a'
(using P1 and P2). If b isn't 1, then let c' = b, with c in N
(using P4), and define a + b = (a + c)'.
Then you have to define 2:
Def: 2 = 1'
2 is in N by P1, P2, and the definition of 2.
Theorem: 1 + 1 = 2
Proof: Use the first part of the definition of + with a = b = 1.
Then 1 + 1 = 1' = 2 Q.E.D.
Note: There is an alternate formulation of the Peano Postulates which
replaces 1 with 0 in P1, P3, P4, and P5. Then you have to change the
definition of addition to this:
Def: Let a and b be in N. If b = 0, then define a + b = a.
If b isn't 0, then let c' = b, with c in N, and define
a + b = (a + c)'.
You also have to define 1 = 0', and 2 = 1'. Then the proof of the
Theorem above is a little different:
Proof: Use the second part of the definition of + first:
1 + 1 = (1 + 0)'
Now use the first part of the definition of + on the sum in
parentheses: 1 + 1 = (1)' = 1' = 2 Q.E.D.
In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. To see whether the proportions have changed, a random sample of 300 students from ABC University was selected. Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College. Refer to Exhibit 12-4. This problem is an example of a _____. a. multinomial population b. normally distributed variable c. uniformly distributed variable
Answer:
A. Multinomial population
Explanation:
A multinomial population has categorical data. In other words data in this form has different classes in which data is grouped into. These classes do not overlap and are more than two as opposed to binomial populations that have just two outcome variables or data categories. For example in the above data, we see that data is grouped into three categories:students in business college, students in liberal art college and students in education college
19.5+24+7.5 =
19.5+__+24 =
___+24___=
Answer:
19.5+24+7.5 = 51
19.5+51+24 = 94.5
51+24+94.5=169.5
Step-by-step explanation: Basically for the blanks you insert the answer you got..
Answer:
19.5+24+7.5=51
19.5+7.5+24=51
19.5+24+7.5=51
A replica of the Eiffel Tower has a scale factor of 100:1. If the Eiffel tower is 1063 feet tall, how tall is the replica?
Answer:
Height of replica = 10.63 feet
Step-by-step explanation:
Given :-
Scale factor = 100 : 1
Height of Eiffel Tower = 1063 feet
To Find :-
Height of replica (h)
Solving :-
100 = 1063 / x
x = 1063/100
x = 10.63
Solution :-
Height of replica = 10.63 feet
This figure represents a small glass container.
What is the volume of the container?
270 in³
264 in³
240 in³
216 in³
Answer:
The answer is D. 216 [tex]in^{3}[/tex]
Step-by-step explanation:
I took the test. Hope this helps.
The volume of the container is 216 inches³.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given a container.
A triangular prism consists of two triangular bases and three rectangular faces.
The given container is a right triangular prism.
Volume of a triangular prism = Base area × Length of the prism.
Base area = Area of right triangle
= [tex]\frac{1}{2}[/tex] × 6 × 8
= 24 inches²
Length of the prism = length between the base triangles = 9 inches
Volume = 24 × 9 = 216 inches³
Hence the required volume of the container is 216 inches³.
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Can someone please help with this?
Answer:
∠K = 80°
∠M = 100°
Step-by-step explanation:
Angles along a line total 180°. So, your equation for ∠K is ...
60° +40° +∠K = 180°
∠K = 180° -100° = 80°
Similarly, ...
∠M = 180° -∠K = 100°
_____
Additional comment
Together, the 60° and 40° angles make a 100° angle that is vertical to (and congruent with) ∠M. Recognizing that, you know ∠M = 100°. ∠P is a vertical angle with ∠K, so will have the same measure, 80°.
The ____ of two or more sets is the set that contains all elements of the set.
Answer:
Union
Step-by-step explanation:
The UNION of two or more sets is the set that contains all elements of the set.
I need help with this question real quick.
Answer:
The answer is D
Step-by-step explanation:
Alonzo used 5.3 in his model instead of .53
4,5,6,6,7,7,8,8,8,8,8,9,9
What is the median of the set of numbers?
Answer:
8
Step-by-step explanation:
4,5,6,6,7,7,8,8,8,8,8,9,9
x x x x x x x x x x x x
Find the distance between points (4,-9) and (-2,6)
Answer:
16.1555
Step-by-step explanation:
12 (2 -2)+32 = (x +6) +2
Answer: x = 24
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
Step 1: Remove parentheses.
12 (2 − 2) + 32 = [tex]x[/tex] + 6 + 2
Step 2: Simplify 2 − 2 to 0.
12 × 0 + 32 = [tex]x[/tex] + 6 + 2
Step 3: Simplify 12 × 0 to 0.
0 + 32 = [tex]x[/tex] + 6 + 2
Step 4: Simplify 0 + 32 to 32.
32 = [tex]x[/tex] + 6 + 2
Step 5: [tex]x[/tex] + 6 + 2 to [tex]x[/tex] + 8.
32 = [tex]x[/tex] + 8
Step 6: Subtract 8 from both sides.
32 − 8 = [tex]x[/tex]
Step 7: Simplify 32 − 8 to 24.
24 = [tex]x[/tex]
Step 8: Switch sides.
[tex]x[/tex] = 24
~I hope I helped you! :)~
the diagonals of a rectangle is 25in. The width is 15 inches. What is the length ? ( Pythagorean theorem c^2 = a^2 + b^2)
Answer:
20
Step-by-step explanation:
(You could also use 3-4-5 method, 15, 20 , 25)
[tex]15^{2} +x^{2} =25^{2}\\225+x^{2}=625\\-225 -225\\x^{2}=\sqrt{400}\\x = 20\\Length = 20 \\\\\\[/tex]
What is the measure of WXX, and why?
Answer:
B
Step-by-step explanation:
The vertical triangles are not congruent which eliminates A and D, the equvilant of Z is U which = y
At 8:00 A.M., a train leaves a station and travels at a rate of 45 mph. At 9:00 A.M., a second train leaves the same station on the same track and travels in the direction of the first train at a speed of 61 mph. At 10:00 A.M., how far apart are the two trains?