To specify the accuracy of the mean found for a statistical sample, the amount of error is specified by the margin of error, MOE
The z-score with a confidence level of 95% is 1.96Reasons:
The margin of error, MOE, is required when finding a sample mean of a
statistic, which specifies the range within which the true mean is located;
The margin of error is given by the formula;
[tex]\displaystyle MOE = \mathbf{z^* \times \frac{\sigma }{\sqrt{n} }}[/tex]
Where:
σ = The standard deviation of the population
n = The sample size
[tex]z^*[/tex] = The z-value based on the applied confidence level.
Using the associated standard normal distribution table, by finding the
area between the z-score and the negative z-score, we have that 95% will
be given by the area between 1.96 and -1.96, which gives, 0.975 - 0.025 = 0.95 = 95%
Therefore;
The z-score at 95% = 1.96
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parallel to y = 1/5x-4 and goes through (10,-2) in point slope form
Answer:
y + 2 = [tex]\frac{1}{5}[/tex] (x - 10)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{5}[/tex] x - 4 ← is in slope- intercept form
with slope m = [tex]\frac{1}{5}[/tex]
Parallel lines have equal slopes
The equation of a line in point- slope form is
y - b = m(x - a)
Here (a, b ) = (10, - 2 ) , then
y - (- 2) = [tex]\frac{1}{5}[/tex](x - 10) , that is
y + 2 = [tex]\frac{1}{5}[/tex](x - 10) ← in point- slope form
John scored 75% of the total marks How many marks did he get
Given :-
John scored 75% of the total marks .To Find :-
How many marks did he get .Solution :-
Let us say that the maximum marks for the exam was x . So he got 75% of x that is ,
[tex]\longrightarrow[/tex] Marks = 75% of x
[tex]\longrightarrow[/tex] Marks = 75/100 × x
[tex]\longrightarrow[/tex] Marks = 3/4 × x
[tex]\longrightarrow[/tex] Marks = 3x/4
Hence he scored 3x/4 marks in the test.
Identify the vertex of: F(x)-4=(x+1)²
A.)(-4,1)
B.) (1,-4)
C.)(1,-4)
D.) -1,4)
Answer:
D
Step-by-step explanation:
move 4 to right, then its in vertext form where where -h = 1 and k = 4. the vertext is (h,k), so just swap thr sign in h andnout it into the coordinate and get (-1,4)
please help!!!!!!!!!
Answer:
reserved tickets = 6 and general admissions tickets = 15
Step-by-step explanation:
[tex]25r + 10g = 150[/tex]
Use two variables to make the equation r for reserved tickets and g for general admission. Reserved cost 25 so put that with r and general cost 10 so out that with g. Since he has 150 to spend the equation will equal 150.
Set r equal to 0 since he isn't buying reserved tickets and only general. Solve for g
[tex]25(0) + 10g = 150 \\ 10g = 150[/tex]
divide both sides by 10
[tex] \frac{10g}{10} = \frac{150}{10} \\ g = 15[/tex]
Now set g equal to zero since he isn't buying any general tickets. Solve for r.
[tex]25r + 10(0) = 150 \\ 25r = 150[/tex]
divide both sides by 25
[tex] \frac{25r}{25} = \frac{150}{25} \\ r = 6[/tex]
What is the base of the expression 6^-4?
Answer:For this case we have that by definition it is fulfilled:
Where:
a: It is the base
b: It is the exponent
So, if we have the following expression:
-6 to the power of 4, is equivalent to:
So we have to:
-6: It is the base
4: It is the exponent
-6: It is the base
4: It is the exponent
Step-by-step explanation:
If a triangle is equilateral, then all the sides in the triangle are congruent.If all the sides in a triangle are congruent, then all the angles are congruent.
Answer:
Where's the question?
Step-by-step explanation:
A carnival ride has a sign at the beginning of the line that says "Must be at least 48 inches tall to ride." Which of the following inequalities best represents the allowable height of riders? h > 48 h < 48 h ≥ 48 h ≤ 48
Answer:
H is equal to and greater than 48 the last one because you must be equal to 48 inches or greater than 48 inches so = would be equal to and < would mean that you must be greater than
Step-by-step explanation:
Answer:
h ≥ 48
Step-by-step explanation:
Height must be greater than or equal to 48 inches tall to ride.
Help me I really don’t understand this and I can’t fail please just please help I will mark brainliest
Answer:this question is confusing but it's probably the last one, must be the one passing through
x=1
y=-1
radius of a circle with 11,304 circuference
Answer:
1799.08748
Rounded version: 1799
Step-by-step explanation:
Report me if its wrong mark me Brianliest if its right.
help will give brainliest
Answer: the answer is line 2
Step-by-step explanation:
hey does anyone know the answer to this equation
Answer:
it is D
UR WELCOME
Answer:
C
Step-by-step explanation:
Substitute the values of x into y and evaluate , that is
x = - 27 → y = [tex]\sqrt[3]{-27}[/tex] = - 3
x = 0 → y = [tex]\sqrt[3]{0}[/tex] = 0
x = 27 → y = [tex]\sqrt[3]{27}[/tex] = 3
The values of y that complete the table are
- 3, 0, 3 → C
Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3 feet longer than the width. What are the approximate dimensions of the rug? Round each dimension to the nearest tenth of a foot. 10. 4 feet by 7. 4 feet 11. 1 feet by 8. 1 feet 13. 4 feet by 10. 4 feet 14. 1 feet by 11. 1 feet.
A rectangular rug divided by its diagonal becomes a right angle triangle
The length and width of the rug is 14.1 feet by 11.1 feet
A right angle triangle has the longest side as the hypotenus which is also the diagonal.Diagonal = 18 feet
width = x
length = x + 3
diagonal ² = length ² + width ²
18² = x² + (x + 3)²
18² = x² + x² + 6x + 9
324 = 2x² + 6x + 9
2x² + 6x + 9 - 324 = 0
2x² + 6x - 315 = 0
solve using quadratic formula
x = - b ± √b² - 4ac / 2a
= - 6 ± √6² - 4×2×-315 / 2×2
= -6 ± √36 - (-2520) / 4
= -6 ± √36 + 2520/4
= -6 ± √2556 / 4
= - 6 ± 6√71 / 4
= -6/4 ± 6√71 / 4
= -3/2 ± 3√71/2
x = 11.1392 or -14.1392
The value of x can't be negative
So,
x = 11.1 to the nearest tenth
Therefore, the value of width and length is
width = x
= 11.1 feet
length = x + 3
= 11.1 + 3
= 14.1 feet
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He gave the cashier $14.22 and received $2.63 in change. How much did the duffel bag cost?
Answer:
$11.59
Step-by-step explanation:
14.22-2.3=11.59
also this was like a question that gose "joe has 5 cookes, josie eats 3, how old is josie?"
The difference of two numbers is 3. Their sum is - 24. Find the numbers.
Answer:
y = -13.5
x = -10.5
Step-by-step explanation:
Hi there!
Let the two numbers be equal to x and y.
The difference of two numbers is 3 ⇒ x - y = 3
Their sum is - 24 ⇒ x + y = -24
Solve using elimination:
x - y = 3
x + y = -24
Add the two equations:
x + x - y + y = 3 - 24
2x = -21
x = -10.5
Solve for y:
-10.5 - y = 3
- y = 3 + 10.5
y = -13.5
I hope this helps!
Can someone please help me on this would be appreciated
Answer:
16°Step-by-step explanation:
According to diagram we have:
∠FLH ≅ ∠LMK, corresponding angles∠LMK ≅ ∠GMJ, vertical angles∠IMJ ≅ ∠KMH, vertical angles∠H ≅ ∠IMJ, corresponding anglesNow:
m∠FLH = m∠LMK = m∠GMJm∠GMJ = m∠GMI + m∠IMJ 3x + 6 = 3x - 10 + 2x2x = 6 + 102x = 16x = 8Find the measure of angle H:
m∠H = m∠IMJ = 2x = 2*8 = 16The bookstore sold coloring books for $4. They are on sale for $1. Find the percent decrease.
Step-by-step explanation:
4 -1=3 so 4divided by 3= 1.33 so 1.33 as a percent is 133%
Find the length x.
2
4
5
X
Answer:
2.5
Step-by-step explanation:
5/4 = x/2
yeah-ya... right
Ryan made a $3000 down payment on a car. The total cost of the car was $7500. He made 36 equal monthly payments to pay the car in full. How much did Ryan pay per month?
Answer:
$125 per month
Step-by-step explanation:
What is -6/2 simplified
The fraction number negative 6/2 in the simplified form will be negative 3.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The fraction number is given below.
⇒ - 6 / 2
Simplify the fraction number, then we have
⇒ - 6 / 2
⇒ - 3
The fraction number negative 6/2 in the simplified form will be negative 3.
More about the value of the expression link is given below.
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Your family went out to dinner. They spent $60.45 on dinner, 7% tax, and on top of both costs they left an 18% tip. How much total did her family pay for dinner?
Answer:
The answer is $75.56 total for the family payings.
Step-by-step explanation:
First I added the percentages up together which is now 25% you might ask me why I did that well it's because it's asking us the total of the payings in percentages so that's why I did that, next I used percentage calculations which is 25% of 60.45 and got the answer $15.11 which is the tax+ the tip now we just add 60.45 and 15.11 and that's how I got $75.56! Hope I helped if I did please mark brainliest it means a lot to my progression! Thanks <3
Write an equation in slope-intercept form for the line passing through the two points (0,-2) and (3,0)
Answer:
y = (2/3)x - 2
Step-by-step explanation:
This problem is interesting in that both the x- and the y-intercepts are given. The y-intercept is (0, -2), and so 'b' in 'y = mx + b' must be -2:
y = mx - 2. The x-intercept is (3, 0), so we know that y = 0 when x = 3:
0 = m(3) - 2
This latter result must be solved for m: 3m = 2, or m = 2/3.
Then the desired equation is y = (2/3)x - 2.
Solve the equation 6 - 6x = 5x - 9x -2
Answer:
x = 4
Step-by-step explanation:
[tex]6 - 6x = 5x - 9x - 2\\6 - 6x = - 4x - 2\\- 6x -(-4x)=-2-6\\-2x=-8\\x=-8/-2=4[/tex]
Help please just this whoever answers correctly I will mark brainliest
3. A library charges a late fee of $3.50 plus $0.15 per day that a book is returned late.
B. Make a table to find if the total fee if a book is 10,15,20, or 25 days late. Then graph the ordered pairs.
Answer:
10: (10×0.15)+3.50:$5
15: (15×0.15)+3.50:$5.75
20:(20×0.15)+3.50: $6.50
25:(25×0.15)+3.50: $7.25
Answer:
10 days: $5 fee
15 days: $5.75 fee
20 days: $6.5 fee
25 days: $7.25 fee
Step-by-step explanation:
General Formula
Total fee = 3.5 + days late x 0.15
------
Total fee for 10 days = 3.5 + 10*0.15 = 5
Total fee for 15 days = 3.5 + 15 * 0.15 = 5.75
Total fee for 20 days = 3.5 + 20 * 0.15 = 6.5
coordinates for the answers:
Since days is the x axis and y axis is the fee then
(10, 5)
(15, 5.75)
(20, 6.5)
(25, 7.25)
find 50% of 20
Find the answer I need it for Get More Math
Answer:
10
Step-by-step explanation:
1/2 of 20 is 10
Answer:
10
Step-by-step explanation:
The formula for area of a trapezoid is A =1/2 h(b1 + b2). Express h in terms of A, b1 and b2
Answer:
H is the height
Step-by-step explanation:
A= Area
B= Base
1/2= 0.5
After spraying perfume on her neck, Tasha becomes less aware of the scent over time. What property is this describing
Answer:
Sensory adaptation? im guessing
Step-by-step explanation:
3) Solve this system using elimination method. Upload your work
8x + 14 y = 4
-6x - 7y=-10
Answer:
y = -2 and x = 4
Step-by-step explanation:
8x + 14y = 4
-6x - 7y = -10
First, find the lowest common multiple of 8 and 6 (which is 24). Multiply the first equation by 3:
8x + 14y = 4
3(8x + 14y) = 3(4)
24x + 42y = 12
Multiply the second equation by 4:
-6x - 7y = -10
4(-6x - 7y) = 4(-10)
-24x - 28y = -40
Now, add the two equations together:
24x + 42y = 12
-24x - 28y = -40
24x + -24x = 0
42y + -28y = 14y
12 + -40 = -28
14y = -28
Divide both sides by 14:
14y ÷ 14 = -28 ÷ 14
y = -2
Plug this known variable back into the first equation:
8x + 14(-2) = 4
8x + (-28) = 4
8x - 28 = 4
Add 28 to both sides:
8x - 28 + 28 = 4 + 28
8x = 32
Divide both sides by 8:
8x ÷ 8 = 32 ÷ 8
x = 4
So y = -2 and x = 4.
Hope this helps!
Divide 35 in the ratio 3:2
[tex]3x + 2x = 35 \\ 5x = -35 \\ x = 7 \\ 3x = 3 \times 7 = 21 \\ 2 x \: \: \: \: 2 \times 7 = 14 \\ 21 \: and \: 14 \: answer[/tex]
hopefully it's helpPLEASE HELP ME FOR 25 POINTS NO LINKS!
Answer:
The answer is C. Yes, Abc= Adc
Answer:
Yes, ABC is congruent to CDA by SSS
Your answer is correct; and here's why:
side AB corresponds to side CD.
and side BC corresponds to DA
So ABC = CDA.. and of course they also share AC which makes it congruent by side side side congruency.
Step-by-step explanation:
Which of the following lists of ordered pairs is a function?
A. (0,4),(1,2).(1,0). (2,3)
B. (1,7).(2,5),(3,6), (4,1)
C. (3,-2).(2-1).(3,4),(4,7)
D. (2,5), (3,8). (4, 11),(4,12)
Answer:
B
Step-by-step explanation:
When looking at cordinate points for functions, to be a function, the X-Values cannot come up more than once. B is the only one where there is no repeating X-value, so it is a function.
Hope this helps!!