Answer:
The margin of error is [tex]E = 0.4606 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The sample mean is [tex]\= x = 12.5 \ years[/tex]
The standard deviation is [tex]\sigma = 2.8 \ years[/tex]
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E =1.645* \frac{ 2.8 }{\sqrt{100} }[/tex]
=> [tex]E = 0.4606 [/tex]
which equation is true
A. 0.9 = 90/100
B. 12/10 equal to 1.02
C. 1.9 = 9/100
OR
D. 18/9 = 0.2
Austin made 5 quarts of his special from-scratch cupcake mix. He was able to make 32 identical cupcakes using 3.5 quarts of his special mix. Austin would like to bake 20 more identical cupcakes to ice each cupcake in the likeness of a playing-card. Does he have enough left to create 20 additional cupcakes? Explain.
9514 1404 393
Answer:
no
Step-by-step explanation:
We can write a proportion to find how much mix is required to make 52 cupcakes.
quarts/cupcakes = 3.5/32 = x/52
Multiplying by 52, we find ...
x = 52(3.5/32) = 5.6875 . . . quarts needed for 52 cupcakes
This is more mix than Austin made. He does not have enough left for 20 more cupcakes.
you purcharse 3 items for 4.23 about how much did you spend ?
Answer:
$12.69
Step-by-step explanation:
3 times 4.23=12.96
Answer:
$12.69
Step-by-step explanation:
you would multiply 4.23 by 3
hope this helps
write 3/5x+1/4y=-1/2 in standard form
Answer:
12 x + 5 y = − 10
Step-by-step explanation:
1,682inches rounded to the nearest hundredth is 1,68?
,
Answer:
correct its 1.68
Step-by-step explanation:
Find in slope standard form 3х – 5y = 10
Answer:-5y=-3x+10
Divide all by -5
Y= 3/5x+10/-5
Negative divide by negative is positive--3/-5= 3/5
Slope is 3/5 y intercept is -2
Step-by-step explanation:
Branliest to right answer
Answer:
the second one
Step-by-step explanation:
An amount of money that is deposited or borrowed that earns or is charged interest is called a what?
Answer:
the principal
Step-by-step explanation:
y=- 4
A slope: 0; y-intercept: -4
B slope: undefined; y-intercept: none
C slope: 1; y-intercept:-4
D slope: -4; y-intercept: -4
Answer:
A
Step-by-step explanation:
The slope is 0 and the y-intercept is -4 because that is where the graph crosses the y-intercept :)
Find the slopes of the liner functions
Y= -2x +7
The slope of line given by the linear equation?
The slope of the line shown ?
Answer:
The slope of the line given by the linear equation is -2
The slope of the line shown in the graph is -1
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope of a line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points lie on the lineLet us use these rules to answer the question
∵ The linear equation is y = -2x + 7
→ By comparing it with the form of the linear equation above
∴ m = -2
∵ m is the slope of the line represented by the given equation
∴ The slope of the line given by the linear equation is -2
From the given figure
∵ The line passes through points (6, 0) and (0, 6)
∴ x1 = 6 and y1 = 0
∴ x2 = 0 and y2 = 6
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{6-0}{0-6}=\frac{6}{-6}[/tex]
∴ m = -1
∵ m is the slope of the line shown in the graph
∴ The slope of the line shown in the graph is -1
You start at (5, -4). You move down 1 unit. Where do you end?
Answer:
(5,-5)
Step-by-step explanation:
You're only moving down one number on the y-axis, so you go from -4 to -5, and your x-value remains the same
-1 1/2 minus positive 3 1/2--5/8 equals what
Answer:
[tex]2\frac{5}{8}[/tex]
Step-by-step explanation:
[tex]-1\frac{1}{2} - ( -3\frac{1}{2} ) - \frac{-5}{8} = 2\frac{5}{8}[/tex]
(3 X 10^2) (3 X 10^3)
Answer pls
Answer:
900000
Step-by-step explanation:
= (3 x 10 ^ 2) (3 x 10 ^ 3)
= (3 x 100) (3 x 1000)
= (300) (3000)
= 900000
HOPE THIS HELPS
PLZ MARK BRAINLIEST
it is urgent.so anyone solve this
Answer:
Step-by-step explanation:
Answer:
1i.) x = 18
1ii.) x = 40
2.) x = 155
3i.) ABD = 115° (actually this is wrong, idk how to calculate this ;-;
3ii.) BEF = 135°
Step-by-step explanation:
*All triangles add up to 180° in total of all angles added together*
i.) Find x
4x + 3x + 3x = 180°
10x = 180°
10x/10 = 180/10
x = 18
----------------------------------------
ii.) Find x
180 - 115 = 65
65° + 75° + x° = 180°
140° + x° = 180°
x° = 180° - 140°
x = 40°
----------------------------------------
2.) Find x
180 - 145 = 35
45° + 35° + n° = 180°
80° + n° = 180°
n° = 180° - 80°
n° = 100°
*Vertical Angles of n and m (variables I randomly made so I can solve this), so they are both the same*
100 + 55 + m = 180
155 + m = 180
m = 180 - 155
m = 25
25 + x = 180
x = 180 - 25
x = 155
----------------------------------------
3.) Find Angles
i.) ABD
180° - 65° = 115°
Angle ABD = 115°
ii.) BEF
180° - 110° = 70°
70° + 65° + x° = 180
135° + x° = 180°
x° = 180° - 135°
x = 45°
180° - 45° = 135°
Angle BEF = 135°
Find the missing value.
Hint: Use the number line to find the missing value.
Helppp
Answer:
-2
Step-by-step explanation:
the multiplication of -×- will be + so if-×-will be plus then -7 after multiplying will be + so
_2+7=5
Answer is 12! Gl on what ur doing!
Pls with right answer
Answer:
$2,000
Step-by-step explanation:
They already raised
$5358
$2834
$4132
Total: $12,324
They need $14,000
-$12,324 =$1,676 is how much more they need
$2,000 more.....round 1676 to 2000
Plz I need this ASAP
Answer:
12
Step-by-step explanation:
1/3( 4×3)+8
1/3(12)+8
4+8
12
Answer:
b
Step-by-step explanation:
A country clerk has given amount of money to budget for cultural events
Based on the scattplot , what does the point (0.18) represent
A.the total amount of the budget given to the country
B.the total amount of the budget spent after 18 months
C.the average amount spent out of the udget each month
D.the predicted amount of time after which the entire budget will. e spent
Answer:
A. the total amount of the budget given to the country
Step-by-step explanation:
In order to know the answer, you have to check what the y-axis represents. In the graph above, it represents the "Budget Remaining," which is expressed in thousands of dollars. On the other hand, the x-axis represents the "Time," which is expressed in months.
Point (0,18) shows the total amount of the budget for the Cultural Events in the country. It starts at 18,000 dollars and decreases as months pass by. This is shown by the graph's "negative slope." This means that as the number of months increases, the amount of money decreases.
Given h (x) = 2x + 5, solve for x when h (x) = 3
Step-by-step explanation:
h(x)=2x+5
3=2x+5
3-5=2x
-2=2x
x= -2
2
x= -1
hope it help u
The value of x when h (x) = 3 would be -1.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have been given a function of x as;
h(x)=2x+5
We need to find the value of x when h (x) = 3
Thus,h(x)=2x+5
Plug the value;
3=2x+5
Remove 5;
3-5=2x
-2=2x
So, x = -2 /2
x= -1
Hence, the value of x when h (x) = 3 would be -1.
Learn more about equations here;
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Stephanie ate 12 of the 40 chips in a bag. What percentage of the chips did Stephanie eat?
Answer:
30%
Step-by-step explanation:
Answer:30%
Step-by-step explanation:
Find the opposite of each integer 0
Answer:
Thats not a full question.
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
2.Larry's car travels 230 miles on 10 gallons of fuel. What is the ratio of miles to
gallons for Larry's car?
A 10 Miles to 1 Gallon
B 10 Gallons to 1 Mile
<
23 Miles to 1 Gallon
D 23 Gallons to 1 Mile
Answer:
D
Step-by-step explanation:
If he travels 230 miles on 10gallons of fuel, then he will travel 23 miles on 1 gallon of fuel. So it is 230 gallons to one mile.
HELP FAST !!!
Find the solution of the system of equations.
-8x + 7y = -2
- 8x + 8y = 8
-56x + 49y= -14
- 56x + 56y=64
105y=50
y=0.48
-8x+7(0.48)=-2
-8x+3.36=-2
-8x=-5.36
x=0.67
Answer:
(x, y) = (9, 10)
Step-by-step explanation:
-8x + 7y = -2...... (1)
- 8x + 8y = 8......(2)
Multiplying on both sides of the equations (1) & (2) by 8 and 7 respectively, we find:
-64x + 56y = - 16...(3)
-56x + 56y = 56.....(4)
Subtracting equation (4) from equation (3), we find:
-64x + 56y = - 16
-56x + 56y = 56
+ - -
_____________
- 8x = - 72
x = - 72/-8
x = 9
Substituting x = 9 in equation (1), we find:
-8(9) +7y = - 2
-72 +7y = - 2
7y = 72 - 2
7y = 70
y = 70/7
y = 10
(x, y) = (9, 10)
Name the theorem or postulate that lets you immediately conclude ∆ABD ≈ ∆CBD.
A. None of these
B.AAS
C.ASA
D.SAS
Answer:
The correct answer is B. AAS
Step-by-step explanation:
I took the test
hope this helps :)
SAS postulate is used to conclude that ∆ABD ≈ ∆CBD. Option D is correct.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
In the given triangle there are ACD, DB is the perpendicular bisector.
We need to prove ∆ABD ≈ ∆CBD.
In ∆ABD and ∆CBD
AB is congruent to BC by given diagram.
∠ABD ≅ ∠CBD both are 90 degrees.
BD ≅ BD both having common side.
∆ABD ≈ ∆CBD.
By SAS postulate.
Hence, the SAS postulate is used to conclude that ∆ABD ≈ ∆CBD.
To learn more on Triangles click:
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help please! will mark brainliest!
Answer:
Hello! I'll help, but where is the question?
Step-by-step explanation:
Answer:
what do you need help with?????
evaluate the expression shown below and write your answer as a fraction in simplest form.
Answer:
1/2
Step-by-step explanation:
Answer:
4/45
Step-by-step explanation:
Fraction and find your lcm
I am really stuck on this problem
Answer:
1. ∠1 = 60
2. ∠2 = 40
3. ∠3 = 80
4. ∠4 = 80
5. ∠5 = 60
6. ∠6 = 120
7. ∠7 = 100
8. ∠8 = 60
9. ∠9 = 120
10. ∠10 = 100
Step-by-step explanation:
Find the area of the shape shown below plsss hurry I only have limited time
Answer: 32
Step-by-step explanation: so we can start by finding the two small ones at the bottom. so 2 times 2 is 4/2 is 2, 2 times 6 is 12/2 is 6. then we have a square in the middle that is 2 times 2 is 4. then to find the rest, we can add the 2, the 6, and because we know the bottom middle shape is a square, another two, so we end up with a line of 10 unites. then we can do 4 times 10 is 40/2 is 20. then we add all of our answers. so 20 plus 2 plus 4 plus 6 which is 32.
Answer:
32
Step-by-step explanation:
4*10 = 40/2 = 20
2*2 = 4/2= 2
2*2=4
6*2 = 12/2= 6
20+2+4+6 = 32
HEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLPPPPPPPPPPPPPPPPPPPP
Luke loaned $3500 to his sister. His sister agreed to repay Luke in a year, with 2% simple interest on the $3500. What is the total amount that Luke’s sister will repay?
Answer:70
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
What is the equation of the line that passes through the point (-5,-7)and has a slope of 2/5
Answer:
6.33333 is the answer <3