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
Sound travels approximately 12.3 miles per minute. How many minutes will
it take someone to hear thunder if it strikes 85 miles away? Round your
answer to the nearest tenths.
Answer:
6.9 minutes
Step-by-step explanation:
Setup equality:
[tex]\frac{12.3}{1} = \frac{85}{m}[/tex]
Cross multiply:
12.3m = 85
Divide both sides of equality by 12.3:
m = 6.9 minutes
It takes 6.9 minutes to take someone to hear thunder if it strikes 85 miles away.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Sound travels approximately 12.3 miles per minute.
So, if the thunder strikes 85 miles away it will take
=85/12.3
=6.91 minutes.
Hence, 6.91 minutes to take someone to hear thunder if it strikes 85 miles away.
Learn more about unitary method here:
https://brainly.com/question/22056199
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if joey trap has 2 million views and you go check him out how many views will he have no really go check him out 100 points just go look him up its not a joke
Answer:
lol done
Step-by-step explanation:
3n = –8 + 4n
with work shown
Answer:
n=8
Step-by-step explanation:
3n=−8+4n
Simplify both sides of the equation.
3n=4n−8 (there isn't so It stays the same.
Subtract 4n from both sides.
3n−4n=4n−8−4n
−n=−8
Divide both sides by -1.
−n/-1 =−8/-1
Answer:
n=8
The direct distance from Trevino to Lowell is 100 miles, and the direct distance from Lowell to Sun City is 30 miles. To the nearest mile, what is the direct distance from Las Palmas to Lowell?
Answer:
A. 55
Step-by-step explanation:
The direct distance from Las Palmas to Lowell = the altitude or height of the right triangle.
According to the right triangle altitude theorem, thus:
[tex] h = \sqrt{xy} [/tex]
Where,
h = direct distance from Las Palmas to Lowell = ?
x = direct distance from Trevino to Lowell = 100 miles
y = direct distance from Lowell to Sun City = 30 miles
Plug in the values into the equation
[tex] h = \sqrt{100*30} [/tex]
[tex] h = \sqrt{3,000} [/tex]
[tex] h = 55 miles [/tex] (nearest mile)
What’s the unit rate for Tegan?
Answer:
The unit rate is 16
How do I add 12 ½ +16¾=
Answer:
decimal format = 29.25mixed number = 29 1/4Improper fraction = 117/4Step-by-step explanation:
Make the denominators equal after simplifying the denominators*. The denominators are currently 2 and 4. So you can just make your life easier by making the denominator of the first number a 4. Multiply both sides by 2.
1. Simplify
12*2+1 = 25/2
25/2*2/2 = 50/4
2. Simplify second number
16*4+3 = 67/4
3. Add the improper fractions
50/4 + 67/4 = 117/4
Total answer:29.25 = decimal formatmixed number = 29 1/4Improper fraction = 117/4Terms:
*denominators - the bottom number of a fraction
Hope this helped,
Kavitha Banarjee
Select the correct answer.
If u= 1 + i and v= 1 - i, what is u + V?
Answer:
u + v = 2
Step-by-step explanation:
If v = 1 - i
and u = 1 + i
Then we have to calculate and value of u + v
Now u + v = ( 1 - i ) + ( 1 + i )
= (-i + i) + ( 1 + 1 ) [by adding like terms]
= 0 + 2
= 2
= u + v = 2
:D
Convert 1010101001 from binary to hexadecimal.
Answer:
2A9
Step-by-step explanation:
0.5x = 3
What is the value of x?
Answer:
x = 6
Step-by-step explanation:
To solve this equation, we need to isolate x. To do that, we need to divide both sides of the equation by 0.5. That gives us:
0.5x=3
x=3/0.5 = 6
Answer:
x=6
Step-by-step explanation:
0.5x÷0.5=3÷0.5
x=3÷0.5
x=6
If the income of the consumer increases, the budget constraint line will shift:
a.
away from the origin, but its slope will remain the same
b.
away from the origin, and its slope will become steeper
c.
toward the origin, but its slope will remain the same
d.
toward the origin, and its slope will become steeper
Answer:
b
Step-by-step explanation:
this is for the 20 characters thing
Write an equation in function notation for the relation shown in the picture below.
Answer:
y = -x + 2
Step-by-step explanation:
NUMBER 2!! Helppppp ASAP plssss
Answer:
i think 3 seconds, sorry i don't know much about acceleration
Step-by-step explanation:
Answer:
4.2 seconds
Step-by-step explanation:
Find the LCD for the rational expressions. Enter your answer in factored form.
x^2 + 5x + 6 factors out to be (x + 2)(x + 3).
14x + 42 factors out to be 14(x + 3).
LCD = 14(x+2)(x+3)^2
which shows the mixed number for 9/4 in the simplest form
Answer:
2 1/4
Step-by-step explanation:
What are the roots of the equation x(x + 10) +20 = -5?
B5.5
C. 10,2
Answer:
[tex]x=-5[/tex]
Step-by-step explanation:
STEP 1: Simplify each term.
[tex]x^2+10x+20=-5[/tex]
STEP 2: Move 5 to the left side of the equation by adding it to both sides.
[tex]x^2+10x+20+5=0[/tex]
STEP 3: Add 20 and 5.
[tex]x^2+10x+25=0[/tex]
STEP 4: Factor using the perfect square rule.
[tex](x+5)^2=0[/tex]
STEP 5: Set the x+5 equal to 0.
[tex]x+5=0[/tex]
STEP 6: Subtract 5 from both sides of the equation.
[tex]x=-5[/tex]
help i brian list
vvvv
Please solve these! Also if you could please show your work! This is Algebra 1
i attached screenshots for answers since I can't write freely here
there are 3 pics just scroll
Step-by-step explanation:
1) -28
here u can solve it normally , but in pic took long steps since it's "simplify expressions"
2) x = 64
3) D) -1 ½
Solve for xRequired to answer. Single choice.Immersive Reader
(5 Points)
6(+2)−20=6
6
(
x
+
2
)
−
20
=
6
x
No Solution
=−1
x
=
−
1
=0
x
=
0
all real numbers
Answer:
the answer is no solution.
Step-by-step explanation:
help??
Anyone???
7th grade math
Answer:
25 X 5.5 equals 137.5 miles
Step-by-step explanation:
brainlies pleas
A trader bought 1000 oranges for $500. Eighty
of them were bad. She sold the remainder in
packets of four at $3.50 per packet. Calculate
i. the total amount she received for the
oranges sold
ii. the percentage profit on the amount she
paid for the oranges.
Answer:Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Quincy spends of his pocket money on snacks to keep in his locker. Write the fraction in decimal form.
The decimal equivalent of is .
Step-by-step explanation:Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Quincy spends of his pocket money on snacks to keep in his locker. Write the fraction in decimal form.
The decimal equivalent of is .
Write the equation of the line fully simplified slope intercept form
Answer:
y = 4x - 3
Step-by-step explanation:
A baby is 18in long at birth and 27 in long in ten months
Answer:
27-18 = 9, baby grew 9 inches
Step-by-step explanation:
The length of the baby will increase 0.9 inch per month.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.equation modelling : Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis and results of the given problemGiven is that a baby is 18in long at birth and 27in long in ten months
At birth, the length of baby = 18 inches.
After 10 months, the length of the baby = 27 inches.
Increase in length per month will be -
r = (27 - 18)/(10 - 0)
r = 9/10
r = 0.9 inch
Therefore, the length of the baby will increase 0.9 inch per month.
To solve more questions on functions, expressions and polynomials, visit the link below -
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You start at (1, 1). You move left 6 units and up 1 unit. Where do you end
Answer:
(-5,2)
Step-by-step explanation:
Answer:
(-5,2)
Step-by-step explanation:
1 - 6 = -5
1 + 1 = 2
(-5,2)
can someone help me with this i have no idea how to do this:/ will mark brainliest
Answer:
slope = 2.
Step-by-step explanation:
find the slope using this formula y2-y1/x2-x1
40-20/1-0 = 2/1 or just 2.
Use the given conditions to find the exact value of the expression.
9514 1404 393
Answer:
(7 -24√3)/50 = 0.14 -0.48√3
Step-by-step explanation:
Sine is negative and cosine is positive in the 4th quadrant, so ...
sin(α) = -√(1 -cos(α)²) = -√(1 -576/625) = -7/25
Then the cosine of the angle sum is ...
cos(α +5π/6) = cos(α)cos(5π/6) -sin(α)sin(5π/6)
= (24/25)(-√3/2) -(-7/25)(1/2)
= (7 -24√3)/50 = 0.14 -0.48√3
What is 1.3*10^4 in standard notation
A. 1.3^4
B. 13,000
C. 0.00013
D. 1300
Answer:
13000
Step-by-step explanation:
If you go 4 steps forward at first, it is 13. Add three zeros and then it is at 10^4 and 13000
One zero added is one power in scientific notation
Answer:
C. 13,000
Step-by-step explanation:
You do 10x10x10x10 and get 10,000 and then multiply that by 1.3 or move the decimal point do the right 4 times for the 4 zeros
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:
RT = ___
RS = RU...Reason?
RT = ___ and Reason?
RST = RUT...Reason?
Answer:
okay i will answer but i dont see the question
Step-by-step explanation:
There are 24 balls in gym class. The ratio of basketballs to soccer balls is 2:4. How many basketballs are there? How many soccer balls are there?
Select the correct answer.
which equation represents the line that is parallel to y= 3 and passes through (-2,-8)?
А.
x = -2
B.
x=3
C. y=-8
D.y= 3x - 2
Answer: -8
Step-by-step explanation:
other people got -8 so I'm pretty sure this is the answer.
