The sample mean of the random sample is 50
The margin of error (E) is the amount of error allowed in the random sample.
The confidence interval (CI) is given by:
CI = μ ± E = (μ - E, μ + E)
Given a confidence interval of (38.02, 61.98), hence:
μ - E = 38.02 (1)
μ + E = 61.98 (2)
Hence solving equations 1 and 2 simultaneously gives:
μ = 50, E = 11.98
Hence the sample mean of the random sample is 50
Find out more at: https://brainly.com/question/24131141
Find the mean, mode(s), and median for the following set: 90, 92, 94, 91, 90, 94, 95, 98
Answer:
mean = 93
mode(s) = 90 and 94
median = 93
Step-by-step explanation:
Mean --> average value[tex]\sf{mean = \frac{90 + 92 + 94 + 91 + 90 + 94 + 95 + 98}{8} }[/tex]
[tex]\sf{mean = \frac{744}{8} }[/tex]
[tex]\bf{mean = 93}[/tex]
.
Mode(s) --> the most frequently occurring value90 = 291 = 192 = 194 = 295 = 198 = 1mode(s) = 90 and 94
.
Median --> middle valuesort from smallest
90, 90, 91, 92, 94, 94, 95, 98
median :
[tex]\sf{median = \frac{92 + 94}{2} }[/tex]
[tex]\sf{median = \frac{186}{2} }[/tex]
[tex]\bf{median = 93}[/tex]
I need help on this question please factorise into brackets then solve for x
Answer:
x = 7
Step-by-step explanation:
The difference between the length and width is 3 , then length = x - 3
area (A) of rectangle = length × width
A = x(x - 3) = 28 , distribute parenthesis
x² - 3x = 28 ( subtract 28 from both sides )
x² - 3x - 28 = 0 ← in standard form
(x - 7)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 4 = 0 ⇒ x = - 4
However, x > 0 , then x = 7
if(4x + 20) , (3x+10)^ and (2x+30)^ are angles of a triangle then the value
A) 13°
B) 13 1 3 ^
C) 13 2 3 ^
D) 14°
Using angle sum property
[tex]\\ \sf\longmapsto 4x+20+3x+10+2x+30=180[/tex]
[tex]\\ \sf\longmapsto 9x+60=180[/tex]
[tex]\\ \sf\longmapsto 9x=120[/tex]
[tex]\\ \sf\longmapsto x=13.2[/tex]
Find the 20 th term of the given sequence 2, 5, 8, 11,..
Answer:
14,17, 20
Step-by-step explanation:
Kindly see the picture I have solved it as required
Which is the verbal expression for 11 - 2/n?
Answer:
(a.)
Step-by-step explanation:
(we talked abt it in the comment haah)
helppppppppppppppppppppp!
Answer:
1:3
Step-by-step explanation:
Since your scaling down you divide the smaller number by the larger number
7/21=1/3
=1:3
Hope this helps :)
Write the prime factorization of 38.
please help :,) it’s due tomorrow and i’m so confused
Answer:
I can't see the file or I can't open the file
Step-by-step explanation:
PLEASE HELP.
Directions: find x so that L || M. state the converse used
Answer:
8. x=6; supplementary consecutive interior angles
10. x = 4; no applicable theorem
Step-by-step explanation:
8.The marked angles are "consecutive interior" angles. When their sum is 180°, the lines l and m will be parallel.
(7x -15) +(24x +9) = 180
31x = 186
x = 6
Consecutive interior angles being supplementary will make the lines parallel.
__
10.The sum of the remote interior angles of a triangle is equal to the exterior angle:
28x = 48 +16x
12x = 48
x = 4
The above relation holds regardless of whether line l is parallel to line m. There is no applicable theorem or converse.
_____
Additional comment
Adding the marking shown in the attachment would make the converse of the alternate interior angles theorem applicable to problem 10.
Find all solutions to below and explain why it must be constant coefficient.
The solution to the differential equation will be expressed as [tex]y_c=Ce^{2x}[/tex]
Given the differential equation;
[tex]\frac{d^2y}{dx^2}+2y \frac{dy}{dx} =0[/tex]
Since the right-hand side of the homogenous equation is zero, the differential equation is a homogenous equation
Let [tex]D=\frac{dy}{dx}[/tex]
The differential equation becomes;
[tex]D^2y-2Dy=0\\(D^2-2D)y=0[/tex]
Factorizing the auxiliary equation m² - 2m = 0
m² = 2m
m = 2
Since the auxiliary solution is real and distinct, the solution to the differential equation will be expressed as [tex]y_c=C_1e^{m_1x} + C_1e^{m_2x} \\[/tex]
Given that m =2, the solution will be expressed as [tex]y_c=Ce^{2x}[/tex]
b) Most linear differential equations have a constant coefficient because they are mostly solved using the quadratic method which is also called the method of quadrature. This means that the solution maybe expressed in integral form.
Learn more here: https://brainly.com/question/13512633
A water tank has volume of 300 m3. If the length and width of the tank is 5 m and 300 cm, find the height of the tank.
Answer:
volume=300m3
length=5m
width=300cm=300/100=3m
To find: height of tank .
so,
volume=l×b×h
300=5×3×h
300/15=h
finally,h=20m
Does anyone know the answer.With explanation plz.
Answer: He sold 1,800 merchandise
Step-by-step explanation: 426 - 300 = 126 ÷0.07 = 1,800
I dont know if im right though
What is the terminal point of the vector a = (2,4) based at P = (3, 4)?
Explanation:
Start at the point (3,4) which is the tail of the vector. We move 2 units to the right and 4 units up to arrive at (5,8) due to the vector a = <2,4>. Effectively, we're using the translation rule [tex](x,y) \to (x+2,y+4)[/tex]
In other words, we add 2 to the x coordinate and add 4 to the y coordinate of the point (3,4) to move to (5,8)
2. If (2, 3) is an ordered pair of the
function F(x), which of the following
must be an ordered pair of the inverse
of F(x)?
Answer Choices:
(3, 2)
(-2,-3)
(2,3)
(-3,-2)
Answer:
Inverse: (3, 2)
Step-by-step explanation:
Given the point, (2, 3), as an ordered pair of the function, f(x):
Since we know that for any functions, there is a one-to-one correspondence between each domain and range values. Conversely, each range value also corresponds to one domain value.
The inverse of a function, [tex]f^{-1}(x)[/tex], also has a one-to-one correspondence. Simply put, we are essentially switching the x and y values to determine the inverse of a function.
Therefore, given the ordered pair from f(x) = (2, 3), then the corresponding coordinates in the inverse function, [tex]f^{-1}(x)[/tex], must be (3, 2).
Let f(x)= – 2x-1, h(x) = - X+2.
Find (f o h)(-1).
(f o h)(-1) = ...
= f(h(-1))
= f(-1 + 2)
= -2(-1 + 2) - 1
= 2 - 4 - 1
= -2 - 1
= -3
Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric costs $1.15. How much will the fabric cost?
[1 ft = 0.305m]
$9.20
$2.12
$2.81
$30.16
Answer:
$2.81
Step-by-step explanation:
8 feet = 2.44 meters
2.44 · $1.15 = $2.81
I hope that this helps!!!
Answer:
c. 2.81
Step-by-step explanation:
Which number line best shows how to solve −8 − (−6)?
PLEASE ANSWER!!!
(look a picture for more details)
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]-8-(-6)[/tex]
[tex]=-8-(-6)[/tex]
[tex]=-8+6[/tex]
[tex]=-2[/tex]
The answer is B.
Here's a graph photo!
Hopefully, this helps you!!
[tex]Sokka[/tex]
1) The number 79 has been rounded to the nearest unit. Find its lower and upper bounds,
Answer:
Lower bound: 78.5
Upper bound: 79.5
Step-by-step explanation:
Since it is rounded to the nearest unit, we will subtract 1/2 to get the lower bound, and add 1/2 to get the higher bound.
If it were rounded for example to the nearest first decimal place, the number we will use is going to be 0.1 / 2
A rectangular tank is 54cm long, 29cm wide and 65cm deep.
Answer:
so what do i do
Step-by-step explanation:????????????
50 points! Help (Vectors)
[tex]2v - 3u\\\\=2<3,7> - 3<-5,4>\\\\=<6,14>-<-15,12>\\\\=<6+15, 14-12>\\\\=<21,2>[/tex]
Answer:
Step-by-step explanation:
write an equation of the line with a slope of -8 and a y-intercept of 2
Answer:
y = -8x + 2
Step-by-step explanation:
A slope-intercept form equation is y = mx + b where m is the slope and b is the y-intercept. Using this, we can plug in -8 and 2 to create our equation.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Function or non functional? Pls help ty :3
What is the solution to
4
+ 5 = 2 ?
X-3
Answer:
what you men
Step-by-step explanation:
Answer:
This may not be right, but I tried! I believe its 6.
Step-by-step explanation:
an oven has a maximum temperature of 220°c.what will it be in 2 days time
Answer:
Well I assume 220ºC.
Step-by-step explanation:
That is the MAXIMUM temperature of the oven
PLEASE HELP!! REWARDING LOTS OF POINTS!
Step-by-step explanation:
check the attached file
Myra likes blueberry yogurt, but cherry yogurt is her favorite. Yesterday, she bought 3 cartons of cherry yogurt for every 2 cartons of blueberry yogurt. If Myra bought 3 more cartons of cherry yogurt than blueberry yogurt yesterday, how many cartons of cherry yogurt did she buy?
Answer:
9 cherry, 6 blueberry
Step-by-step explanation:
lets do a table!
cherry | blueberry
----------------------------
3 2
6 4
9 6
When there are 2 blueberry, there are 3 cherry. 3 is 1 more than 2. When there are 4 blueberry, there are 6 cherry. 6 is 2 more than 4. When there are 6 blueberry, there aare 9 cherry. 9 is 3 more than 6.
what’s the correct answer i will give brainlist
The scenario could be modeled as a linear equation to produce the mathematical model written as : y = 10x + 7
Number of cards from previous card = 7
Number of cards per cardstock purchased = 10
Let :
Number of cardstocks purchased = x
Total Number cards made = y
The total number of cards made, y can be expressed thus :
(Number of cards per cardstock purchased × number of cardstocks purchased) + number of previous cards
This means :
y = 10x + 7
Therefore, the required equation is y = 10x + 7
BRAINLIEST!!!!!!!!!!!!!
What is the value of tan A?
○ 6/8
○ 8/6
○ 6/10
(Express these ratios in their simplest form)
Shesho and Merto share a pizza in the ratios 3: 4 respectively. What fraction of the pizza did each get?
BRAINLIEST**
Answer:
3:4 itself.
3:4 itself.
Step-by-step explanation:
3:4 itself.
name the parts mentioned in the figure below
please answer this
Answer:
O - point
CD- chord
AB- diametre
I dont know PO sorry
Answer:
O is the center.
AB is the diameter.
OP is a radius.
CD is a tangent.
By the way the combination of letters is the two points that it relates too.
Step-by-step explanation:
hope this helps. . .<3