Using the confidence interval for sample proportion formula, the C.I is (0.075; 0.081)
Using the relation :
[tex]p ± z_{crit} \sqrt{ \frac{p(1 - p)}{n} } [/tex]
Sample size, n = 40467Sample proportion, p = 3156/40467 = 0.078Zcrit at 95% = 1.96Margin of Error = [tex] 1.96 \sqrt{ \frac{0.078(0.922)}{40467} } [/tex] Margin of Error = 0.0026128Lower boundary = 0.078 - 0.0026128 = 0.075
Upper boundary = 0.078 + 0.0026128 = 0.081
Hence, the confidence interval is (0.075; 0.081)
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y varies jointly as x and z. If y = 12 when x = 4 and z = 3, find y when x = 9 and z = 8.
Answer:
y = 72
Step-by-step explanation:
Given y varies jointly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = 12 when x = 4 and z = 3
12 = k × 4 × 3 = 12k ( divide both sides by 12 )
1 = k
y = xz ← equation of variation
When x = 9 and z = 8 , then
y = 9 × 8 = 72
By pushing the crate up the ramp rather than lifting it to the platform,you are using_____force, but moving the crate a____
distance
Answer:
More; less
Step-by-step explanation:
Applying force to be lifted up to a platform requires more force to get it there. I believe the crate would have a reduced distance. I hope this helps.
Jin has 5 and 1/2 cups of jelly beans. How many 1/4 cup servings can he make?
Answer:
I think the answer to your question is
22
Answer:
12
Step-by-step explanation: 5.5/1.25
Chase has a $42,500 line of credit which charges an annual percentage rate of prime rate plus 5%. His starting balance on June 1 was $2,550. On June 4, he borrowed $5,300. On June 9, Chris made a payment of $800, and on June 17, he borrowed $5,600. If the current prime rate is 10%, what is his new balance?
The best interest rate which banks can charge a customer is the prime rate.
His new balance is $12,735.291[tex]\overline 6[/tex]Reasons:
The Annual Percentage Rate, APR = Prime + 5%
∴ APR = 10% + 5% = 15%
[tex]\displaystyle The \ periodic \ rate = \frac{15}{12} = 1.25 \%[/tex]
The balance on June 1 = $2,550
Daily balance, June 1 — 3 = $2,550 × 3 = $7,650
June 4 borrowed $5,300
The new unpaid balance = $2,550 + $5,300 = $7,850
Daily balance from June 5 — 8 = $7,850 × 3 = $23,550
Chris made payment on June 9
Unpaid balance = $7,850 - $800 = $7,050
Daily balance from June 9 — 16= $7,050 × 8 = $56,400
June 17 borrowed $5,600
Unpaid balance = $7,050 + $5,600 = $12,650
Daily balance June 17 — 30 = $12,650 × 14 = $177,100
Sum of daily balance = 7,650 + 23,550 + 56,400 + 117,100 = 204,700
[tex]\displaystyle Average \ daily \ balance = \frac{204,700}{30} = 6,823.\overline 3[/tex]
Finance charge = Average daily balance × Periodic rate
∴ Finance charge = $6,823.[tex]\overline 3[/tex] × 0.0125 = $85.291[tex]\overline 6[/tex]
New balance = Cash advance + Credits and payment + Previous balance + Finance charge
New balance = $2,550 + $5,300 - $800 + $5,600 + $85.291[tex]\overline 6[/tex]
= $12,735.291[tex]\overline 6[/tex]
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 Find the perimeter. Simplify the answer
[tex]Perimeter = \\ 9v - 7 + v + 10 + 9v - 7 + v + 10 \\ = 9v - v + 9v + v - 7 + 10 - 7 + 10 \\ = 8v + 10v - 17 - 17 \\ = 18v - 34[/tex]
- BRAINLIEST answerer
Determine the slope of the line represented by the equation 9x + 4y = 8. Represent the slope in decimal form.
Answer:
slope = - 2.25
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 )
Given
9x + 4y = 8 ( subtract 9x from both sides )
4y = - 9x + 8 ( divide through by 4 )
y = - 2.25x+ 2 ← in slope- intercept form
with slope m = - 2.25
Graph the equation on the coordinate plane using the slope and y-intercept.
y=−2x
Answer:
Step-by-step explanation:
1/243 as an expression using a negative exponent other than -1
Answer: To get the expression with negative exponent, we need to convert the number 1024 in exponential form
Replace the denominator by 2^10
Now we apply exponential property
negative exponent other than -1 is
What is 2 and 2/3 x 5
Answer:
13 and 1/3
Step-by-step explanation:
2×5=10
2/3 ×5 =10/3
10/3 simplifies to 3 and 1/3
Add them together to get 13 and 1/13
A binomial experiment consists of 14 trials. The probability of success on trial 7 is 0. 55. What is the probability of success on trial 11?.
Answer: Using the conditions required for a binomial experiment, the probability of success is the same for each trial in the experiment, Hence, the probability of failure on trial 11 will be 0.16 . The probability of success, p = 0.84; the probability of failure can be expressed as; p(failure) = 1 - p(success) = 1 - 0.84 = 0.16 . The probability of success or failure in each and every trial of a binomial experiment is the same and hence, does not change from trial to trial. Therefore, the probability of failure in the 11th trial is 0.16.
Step-by-step explanation: Generally, one the attributes of a binomial experiment is that the probability of success and failure is constant every trial so given from the question that the probability of success is 0.84 for trial 7, then the probability of failure of trial 7 will be evaluated as => q=1-0.84. q=0.16. And from the attribute stated above the probability of failure of trial 11 is q=0.16
x+6=0
3x-2y = 10
simultaneous equations
Please help me with this
Step-by-step explanation:
such an equation is a simple linear function :
y = ax + b
b is in this case the flat fee, and a (the slope) drives the incline of the function for various numbers of students x.
our job is now to find the correct a and b values.
we do this by using the informative we have and create 2 equations for a and b, and then we solve this system.
132.5 = a×25 + b
145 = a×30 + b
now, we can use a little trick and simply subtract the whole first equation from the second equation.
145 = a×30 + b
- 132.5 = a×25 + b
------------------------------
12.5 = a×5 + 0
5a = 12.5
a = 2.5
with this we go into one of the original equations, e.g. the second one :
145 = 2.5×30 + b = 75 + b
70 = b
so, it full equation is
y = 2.5x + 70
the costs for 85 students are
y = 2.5×85 + 70 = 212.5 + 70 = $282.50
Solve.
−5x+6=−4(2x−1)
x=−14/3
x=−10/13
x=−2/3
Answer:
x=-2/3
Step-by-step explanation:
I could really use MisterBrainly right now! 50 points and brainliest for first correct answer
Triangle ABC is dilated by a scale factor of 3. Find the vertices of the new triangle DEF if the original vertices are A(-1, 1), B(2, 7) and C(3, -3).
What are the new coordinates?
Answer:
-3, 3
6,21
9,-9
Step-by-step explanation:
Answer:
> Your coordinates are; -3, 3 || 6, 21 || 9, -9
Step-by-step explanation:
> I hope this solves your problem correctly.
There are mangoes and oranges in a basket in the ratio 7: 11. If the total number of fruits is 720, then how many mangoes are there in the basket?
Answer:
280 mangoes
Step-by-step explanation:
sum the parts of the ratio, 7 + 11 = 18 parts
Divide the total by 18 to find the value of one part of the ratio.
720 ÷ 18 = 40 ← value of 1 part of the ratio , then
7 × 40 = 280 ← number of mangoes
Answer:293
Step-by-step explanation:
720-719= 1
1+292= 293
Please helppppp
Reagan solved 5.25 = 5 and got 105. What did Reagan do wrong?
Answer:
He did not simplify correctly and forgot to place the decimal point correctly.
Step-by-step explanation:
To simplify the equation, one needs to divide both sides of the equal sign by 5.
i.e 5.25/5=5/5
Here we find 1.05=1
Note the placement of the decimal point.
The arithmetic sequence 1, 3, 5, 7, 9,. . . Represents the set of odd natural numbers. What is the explicit rule for the sequence? ak = (k - 1).
The explicit rule for the sequence is Tn = 2n - 1
Given the sequence 1, 3, 5, 7, 9...
The explicit formula for the nth term is expressed as:
[tex]T_n=a+(n-1)d[/tex]
a is the first term = 1
d is the common difference = 3 - 1 = 5 - 3 = 2
n is the number of terms
Substitute the given parameters into the formula to have;
[tex]T_n = 1+(n-1)(2)\\T_n=1+2n-2\\T_n=2n-1[/tex]
Hence the explicit rule for the sequence is Tn = 2n - 1
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Answer:
1st: 1+(k-1)2
2nd: 399
3rd: C
4th: 40,000
During May, Andy had cash inflows of $550, $40, $65, and $80. He had cash outflows of $10, $30, $60, $25, $100, and $250. What is Andy’s net cash flow?
PLEASE HELP ME I DON'T KNOW WHAT THE ANSWER IS
Answer:
positive 260
Step-by-step explanation:
add the cash inflows
550+40+65+80 = 735
add the outflows
10+30+60+25+100+250 = 475
then substract the outflows from the inflows
735-475 = 260
So Andy's net cash flow is positive 260
Please consider marking this answer as brainliest if it helped you. Thanks!
Andy’s net cash flow is $260.
Given that, during May, Andy had cash inflows of $550, $40, $65, and $80.
What is subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
Total cash inflow
= 550+40+65+80
= $735
Total cash outflow
= 10+30+60+25+100+250
= $475
So, net cash flow =735-475
= $260
Therefore, Andy’s net cash flow is $260.
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What is the slope for this table?
Give an explanation.
Answer:
the shape of the graph is a vertical straight line. So the angle is 90°
So tan 90° = infinite
Answer: The slope is undefined.
Step-by-step explanation:
The slope is undefined because it is based on the Rise (y) over the Run (x) of the data points. X is not changing even as y goes from -2 to 8. If we took the first and last points, (-1,-2) and (-1,8) and go from left to right, y increases by (8-(-2)) = 10 while x is unchanged, or o. Rise/Run therefore becomes 10/0. Division by 0 is undefined in math, so the slope is undefined.
This is a straight vertical line going through x = -1. All y's are on this line. Undefined slope.
The density of glass in a bottle is 2.4gcm^3. The volume of glass used to make the bottle is 13.4cm^3. Calculate the mass of the glass bottle.
Answer:
Density is g/cm^3, not gcm^3
Mass = 32.16 grams [32.2 grams for 3 sig figs)
Step-by-step explanation:
Density = Mass/Volume
Density = 2.4g/cm^3
Volume = 13.4cm^3
---
2.4g/cm^3 = Mass/13.4cm^3
Mass = (2.4g/cm^3)*(13.4cm^3)
Mass = 32.16 grams [32.2 grams for 3 sig figs)
The mass of the glass-bottle is 32.16 grams.
What is volume?Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.
Given:
The density of glass in a bottle is 2.4 grams per cubic centimeters.
The volume of glass used to make the bottle is 13.4 grams per cubic centimeters.
Density = Mass/Volume
Density = 2.4 grams per cubic centimeters.
Volume = 13.4 cubic centimeters.
Substituting all the values,
2.4 = Mass / 13.4
Mass = 13.4 x 2.4
Mass = 32.16
Therefore, mass = 322.16 grams.
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1. How well do you work with fractions and decimals? (2 point)
I can explain how fractions and decimals are related. I can convert fractions to decimals and decimals to
fractions without needing help
I can usually convert fractions to decimals and decimals to fractions, but sometimes I make mistakes
I can sometimes convert fractions to decimals and decimals to fractions, but I need more practice with
this
I do not understand how fractions and decimals are related, or how to convert them.
Step-by-step explanation:
when you get a decimal like 0.02 and you want to express it in fraction,this is a simple trick.
first,put your pen at the point and move it forward till you end at the last number.
While you move the pen over each value, you will count the number of jumps and record the number of jumps in zeros i. e
2÷100 and it means that,the last 1or 3or 3whole numbers will become the numerator
Give one example of an urban area and one example of a rural area.
Answer:
An urban area would be New York City, a rural area would be a small town in western Kansas.
Step-by-step explanation:
En la figura, BE y AD son segmentos, AB = 4 y AC = 3. Se puede determinar el perímetro del triángulo
CDE si:
Answer:
AD=7,BE=6,AB=4,AC=3.
4.
Which of the following is the minimum value of the equation y= 1/3x^2 + 2x + 5?
A. 1/3
B. -3
C. 2
D. 5
Answer:
C. 2
Step-by-step explanation:
Use the formula
x = − b /2 a
to find the maximum and minimum.
( − 3 , 2 )
For what values of x and y are the two triangles congruent by HL?
Answer:
y = 4 and x = 11
Step-by-step explanation:
x = y + 7 Substitute the first equation into the second equation and
solve for y
x + 1 = 3y
y + 7 + 1 = 3y
8 = 2y
4 = y x = y + 7
x = 4 + 7
x = 11
3 - k - 5k =3
i need help on this asap
Hello there!
3-k-5k=3
Combine like terms:
3-6k=3
-6k=3-3
-6k=0
k=0
Hope it helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
Answer:
k = 0
Step - By - Step:
1. 3 - k - 5k = 3
3 - 6k =3
2. rearrange terms:
3 - 6k = 3
-6k + 3 = 3
3. Subtract 3 from both sides of the equation:
-6k_3=3
-6k+3-3=3-3
4. simplify:
-6k + 3 - 3 = 3 - 3
-6k = 3 - 3
-6k = 0
5. divide both sides of the equation by the same term:
-6k = 0
-6k/-6 = 0/-6
6. simplify:
k = 0/-6
Keshawn's bank account had a balance of $40.51 last month. This month he won a cash prize of $73.95 for winning a competition. How much money does Keshawn have at the end of the month if there are no other transactions?
Answer:
$114.46
Step-by-step explanation:
40.51+73.95=114.46
Estimate 22,752 divdided by 18 , I'm doing a lot tonight, have 10 assesments due tom
Answer:
1264
Step-by-step explanation:
is the answer...........
An airplane flies with a constant speed of 768 km/h. How far can it travel in 50 minutes
Answer:840 km/h divided by 60 = 14km/min
3 x 60 = 180
180 + 20 = 200 minutes total
14 x 200 = 2800km
that is a really awkward way of doing it though. really you can just do:
840 x (10/3) = 2800km
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE ASAP!
Answer:
Its 65
1ft=304.8mm