Answer:
1.646%
Step-by-step explanation:
Sample size (n) = 2000
Sample Proportion p = 17% = 0.17
α = 0.95
Margin of Error :
Z(1-α)/2 * √((p*(1 - p)) /n)
Z(1 - 0.95/2) * √((0.17 * (1 - 0.17) / 2000)
Zscore = 1.96
1.96 * √(0.1411/2000)
1.96 * √0.00007055
1.96 * 0.0083994
Hence,
1.96 * 0.0083994
= 0.0164628
= 0.0164628 * 100%
= 1.646%
The margin of error for the random sample 2,000 driver's license applications is 1.646%.
What is margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
It can be found out using the following formula.
[tex]MOE=Z_{\frac{\alpha}{2}}\times\left(\sqrt{p\times\dfrac{1-p}{n}}\right)[/tex]
Here, α is the level of significance, n is the sample size and p is the sample proportion.
A random sample of 2,000 driver's license applications found that 17% reported their eye color as blue.
Let level of significance is 0.05. At this level of significance the critical value of Z is 1.96. Put the values in the above formula as,
[tex]MOE=(1.96)\times\left(\sqrt{0.17\times\dfrac{1-0.17}{2000}}\right)\\MOE=0.01646\\MOE=1.646\%[/tex]
Thus, the margin of error for the random sample 2,000 driver's license applications is 1.646%.
Learn more about the margin of error here;
https://brainly.com/question/10218601
What is the value of 6a + 2b if a = 1 and b = 2?
Answer:
3a + 2b ; a=1, b =-2
3
(
1
)
+
2
(
−
2
)
(substitute the values of the variables)
From here on, it's just a matter of condensing down the numbers. Very straightforward, and easy points on tests and quizzes. You can do this in your head if you want, or you can just do it on your calculator (which is probably the best way to go as it's faster and more accurate).
3
+
(
−
4
)
(simplify)
3
−
4
=
−
1
So here, what we've proven is that in our given equation, if
a
=
1
and
b
=
−
2
, then it would yield us a product of
−
1
.
Once again, these types of evaluation problems are very straightforward, and are usually always easy points on tests and quizzes if you have an inkling of an idea of what the concept is about. Again, if you have a calculator with all the appropriate functions, that makes it even easier.
Try another:
6
a
2
−
b
+
8
with a = 1 and b = 3
6
(
1
)
2
−
(
3
)
+
8
6 - 3 + 8
= 11
Just as a sidenote here, make sure you're aware of the difference between
(
6
x
)
2
and
6
x
2
. The former refers to both the 6 and the
x
being squared, whereas the latter shows only the
x
being squared. Just be careful not to mix the two.
Try one more:
2
c
−
5
3
b
+
4
with b = 2 and c = 4
2
(
4
)
−
5
3
(
2
)
+
4
=
8
−
5
6
+
4
=
3
10
(or 0.3)
Speaking from experience, when you work with rational (fraction) polynomials on paper, it often tends to take up a bit of space and get messy. Therefore, I'd suggest you tried solving one equation at a time if you have the same issue.
Also, sometimes you may come across values that you don't want to type again in your calculator (like non-recurring decimals). For these, use the store function on your calculator to get maximum accuracy. With TI-84 and 83s, you can save values as letters (X, Y, etc.). Hence, you can just write out your equation using these, and hence significantly reduce the risk of typing the number wrong, while saving yourself some time.
Step-by-step explanation:
Answer:
The answer is 10
Step-by-step explanation:
6a + 2b
6(1)+2(2)
6+4
=10
Solve x2 – 8x + 15 < 0.
Select the critical points for the inequality shown.
Answer:
x=3,5
Explanation:
x2−8x+15=0
Try to express the terms of the equation in square form.
Adding 16 both sides of the equation,
(x2−2⋅x⋅4+42)+15=16
or,(x−4)2+15−16=0
or,(x−4)2−1=0
or,(x−4)2−12=0
This is the a2−b2=(a+b)(a−b)form.
(x−4+1)(x−4−1)=0
or,(x−3)(x−5)=0
Now, equate both the terms to zero since both of them when multiplied, give zero.
Either,
x−3=0
∴x=3
Or,
x−5=0
∴x=5
Ans:x=3,5 Hope this helpsXD...!!
Answer:
3<x<5
Step-by-step explanation:
an Univariate quadratic polynomial can be divided into the product of two first order equations
In this example, x2 - 8x + 15 = (x-3) * (x-5) <0
as a result. the answer is 3< x <5
What is the answer for Expanding
2t(6t-3)
Answer:
Step-by-step explanation:
12t2 - 6t
Susie has 26 baskets of apples. Each basket can hold 12 apples. Can Susie fit all her apples in her baskets?
Answer: Yes, Susie can fit all her apples in her baskets.
Step-by-step explanation: If she has 26 baskets filled of apples and can hold 12 apples each, then she can fill 2 baskets with apples and have a remainder of 2 apples left.
4. 0.951 is about
= A
nuevo presidente estados unidos
Answer:
Joe Biden
Step-by-step explanation:
Answer:
El presidente actual de los Estados Unidos es Joe Biden
Step-by-step explanation:
E
Find the equation of the line that is perpendicular to the given line and passes through the given point.
Enter the right side of the equation as a single fraction.
y =
5x - 3
-;(1,1)
4
The equation is y =
Answer:
19.4
Step-by-step explanation:
that is the answer
Find the midpoint of the line segment from (0,4) to (-1,3)
MIDPOINT=
Answer:
Midpoint = (-0.5, 3.5)
Step-by-step explanation:
¿De qué forma calcularía Luisa la medida de la tira bordada?
Kyle spent 1/5 of his money on clothes. He had $120 remaining. What was the cost of the clothes Kyle bought? (Note: Express the answer as dollars.cents.)
Answer: 30 is the cost of clothes kyle bought.
Step-by-step explanation: Hope this helps!
Select the correct answer.
A population of pea aphids doubles every week. The population begins with 300 individual pea aphids. In how many weeks will the population
reach 9,600 individuals?
ОА.
3 weeks
B.
32 weeks
Ос.
5 weeks
D.
16 weeks
Reset
Reset
Next
Answer:
B.
Step-by-step explanation:
Answer:
The answer is C. 5 weeks.
Step-by-step explanation:
PLEASE HELP!
If Mr Mantle invests $15,000 in an account with 8% interest compounded
weekly how much would he have after 9 years?
a) $19,019,635.24
b) $16,119.74
c) $30,799.45
d) $30,798.77
Answer: c) $30,799.45
Step-by-step explanation:
Assuming there are 52 weeks in a year, the rate and time would be converted to;
Rate = 8%/52 = 8/52%
No. of periods = 9 years * 52 weeks = 468
The amount Mr Mantle would have is;
= 15,000 * ( 1 + 8/52%) ⁴⁶⁸
= $30,799.45276
= $30,799.45
hey, I wanted to know if anybody was kind enough to help me solve this! I'm super confused and I just don't know what to do. please help me, it'll mean a lot to me. actually
Answer:
The answer should be B
6c = 7c − 7
with work shown
Answer:
c = 7
Step-by-step explanation:
6c = 7c - 7
Subtract 6c to both sides
0 = c - 7
Add 7 to both sides
c = 7
Answer:
c = 7
Step-by-step explanation:
Step 1: Subtract 7c from both sides.
6c − 7c = 7c − 7 − 7c
−c = −7
Step 2: Divide both sides by -1.
-c/-1 = -7/-1
c = 7
2 3/9+3/7
fraction please answer fast
Answer:
2 16/21
Step-by-step explanation:
This equation was solved incorrectly.
6x – 2(4x – 6) = 16
6x + 8x – 12 = 16
14x – 12 = 16
Step 1:
Step 2:
Step 3:
Step 4:
14x = 28
x=2
Which step contains the first error? Explain the error.
Algebra 2 Checkpoint (A2.F.IF.A2) 20-21
Willard, Gavin
The table represents the height of a baseball, in feet, over time, where t represents the number of seconds.
t (in seconds)
h (in feet)
0
3.5
0.5
18.5
1
25.5
1.5
24.5
2
15.5
What is the average rate of change in height of the baseball over the interval from c = 0.5 to 2 = 2?
-3 feet per second
-2 feet per second
2 feet per second
3 feet per second
Calculator
Answer:
0
Step-by-step explanation:
Is the following relation a function?
Yes
or
No
Answer:
no
Step-by-step explanation:
not for sure tho
In the equation
2
3
x
=
10
, what is the value of x?
Answer:
23/10 or 15
Step-by-step explanation:
determine whether each relationship is proportional by graphing on the cordinate plan. Explain your reasoning.
Answer:
It would be proportional.
Step-by-step explanation:
Every 2 numbers on the X value, The y vaulue goes up by 20. It is the same number that it is inreasing by each time.
when you do 5s you will
Answer:
what does this mean
Step-by-step explanation:
????
Find the balance of an account after 7 years if &700 is deposited into an account paying 4.3% interest compounded monthly.
The required balance is $939.9
Given,
Time=7 years
Principal=700
Rate=4.3%
Compound Intrest:
Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.
The formula of the compound interest is,
[tex]A=P(1+\frac{r}{100})^T[/tex]
Now, substituting the given values into the above formula we get,
[tex]A=P(1+\frac{r}{100})^T \\A=700(1+\frac{4.3}{100})^7\\ A=939.9[/tex]
Learn More about Compound Intrest:
https://brainly.com/question/21072972
what is tan 11pie divided by 6?
Answer:
1/6 tan(11 π) = 0
Alternate representations:
1/6 tan(11 π) = -1/6 cot((21 π)/2)
1/6 tan(11 π) = -1/6 cot((23 π)/2)
1/6 tan(11 π) = 1/(6 cot(11 π))
Step-by-step explanation:
NEED HELP ASAP!! Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.
If no, justify your answer.
Answer:
did you got the answer
Step-by-step explanation:
because I need it too
please help me out
I've checked out and its AAA does not prove congruence. Triangles are not congruent. They are similar
but am not sure
Please help me with all, I will mark brainliest as long as u tell me how u got those answers
46
26
х
х
X
х
A school received 46 iPads. The school library took 26 of the iPads and the rest were split equally among 4 teachers to use in their
classrooms. Using the strip diagram and the letter x to represent the unknown quantity, which equation could be used to find the
number of iPads each teacher received?
A)
4x = 46 - 26
B)
4x +46 +26
4x - 26 - 46
D)
4x = 26 + 46
Answer:
Step-by-step explanation:
so what you need to do is subtracked 26 with 46 then you get the ansewer 20 but after that you have to do 20 divided by 4 and you will get your answer.
!!!HELP PLS!!
Sam wants to attend a 2-year technical college that charges about $3,200 a year. His grandparents said they will
give him half the cost of the tuition each year. Sam wants to save money while working at his summer job for
the next five years. How much money will he have to save each summer to have enough money for his first
year's college tuition?
Answer:
$320
Step-by-step explanation:
Given parameters:
Cost of attending the 2-year technical college = $3200;
His parents intend to give him half the cost;
Half the cost = [tex]\frac{1}{2}[/tex] x $3200 = $1600
The remaining cost = $3200 - $1600 = $1600
Sam has 5yrs to work every summer;
He must save: [tex]\frac{1600}{5}[/tex] = $320 every summer for the next five years to afford his first year tuition
You can run 10 miles in 80 minutes. How far can you run in 2.5 hours?
Answer:
18.75 miles
Step-by-step explanation:
1 hour = 60 minutes
2.5 Hours = 150 minutes
10 miles _____> 80 minutes
x_______> 150 minutes
x= ( 150 * 10) / 80
= 1500/80
x= 18.75 miles
easy
Answer:
Step-by-step explanation:
10 miles- 80 minutes
?- 150 minutes
1500+80x
X= 10.75 miles
say periodt as many times as you can will give brainly
Answer:
periodtperiodtperiodtperiodtperiodtperiodtperiodtperiodt
Step-by-step explanation:
periodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodttperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodttperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodttperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperdtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodttperioodtperiodtperiodtperi
Answer:
anna oooppppddpkddkjdjdfhjndjd-
Step-by-step explanation:
4. The binomial 12x+15 is equivalent to
(1) 2(6x +15)
(3) 6(6x+9)
(2) 5(12x+3)
(4) 3(4x+5)