Answer:
The 90% confidence interval is [tex]0.1316 < p < 0.1812[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 582
The number of teenagers at the wheel is k = 91
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{k}{n}[/tex]
=> [tex]\^ p = \frac{91}{582}[/tex]
=> [tex]\^ p = 0.1564[/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} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.645 * \sqrt{\frac{0.1564 (1- 0.1564)}{582} } [/tex]
=> [tex]E = 0.0248 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex]0.1564 -0.0248 < p < 0.1564 + 0.0248[/tex]
=> [tex]0.1316 < p < 0.1812[/tex]
an orchard sells 6lb of apples for $13.50 there is a proportional relationship between the cost and number of apples.
Answer:
Yes, there is a proportional relationship. For every 6 pounds of apple sold, they make $13.50.
Write the standard form equation of the line through the given points. through (0.-4) and (-3,-2)
Answer:
The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is [tex]\frac{2}{3}x+y=-4[/tex]
Step-by-step explanation:
The standard form of equation is [tex]Ax+By=C[/tex]
Finding slope
Using the given points (0,-4) and (-3,-2) we can find slope using formula:[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]Slope=\frac{-2-(-4)}{-3-(0)}\\Slope=\frac{-2+4}{-3} \\Slope=-\frac{2}{3}[/tex]
Finding y-intercept
Using point (0,4) and Slope=-2/3 we can find y-intercept
[tex]y=mx+b\\-4=-\frac{2}{3}(0)+b\\-4=0+b\\b=-4[/tex]
The slope intercept form of the line through the given points. through (0.-4) and (-3,-2) having slope =-2/3 and b=-4 will be:
[tex]y=mx+b\\y=-\frac{2}{3}x-4[/tex]
Now, standard form of equation will be: [tex]\frac{2}{3}x+y=-4[/tex]
So, The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is [tex]\frac{2}{3}x+y=-4[/tex]
40 is 60% of what number? **ROUND TO THE NEAREST TENTH** *
Answer:
66.7
Step-by-step explanation:
hope this helps
Answer:
40 is 60% of 66.7
Step-by-step explanation:
By using the bowtie method, you can check as 40 multiplied by 100 equals 4,000. Then divide 4,000 by 60 to get 66.66666. Since you round to the nearest tenth, it'll be 66.7
hope this helps! =)
HELP PLEASE!! NUMBER ONE OR TWO PLEASE!
JUST SHOW ME HOW TO DO IT! THANK YOU BUNCHES!xoxo
Answer:
Step-by-step explanation:
1. 6, ?, ?, ?,102
a0 =6
a1=?
a2=?
a3=?
a4=102
an= a0+n*d
a4= 6+ 4*d=102 so 4d= 102-6=96, so d=96/4=24
d=24
a1 = 6+24=30
a2 =30+24=54
a3 =54+24=78
math picture help me
Answer:
D
Step-by-step explanation:
Find the dimensions of the circle. Check your answer,
Area = 36π m^2
Please help!
Answer:
6 i think..
Step-by-step explanation:
A centroid of a triangle is always inside the triangle because the
passes through a vertex and the side opposite.
A. median
B. angle bisector
C. altitude
D. perpendicular bisector
Help please dhskksbsjsjsbsis
Answer: Here is the pic and so its 8.9 so it would be 9 because your rounding and I hope this helps :D
A triangle has two sides of length 5 and 11. What is the smallest possible whole-number
length for the third side?
The smallest possible whole number length for the third side is 7
Data obtained from the question1st length = 52nd length = 113rd length =?How to determine the smallest possible length of the 3rd sideCase 1
1st + 2nd > 3rd
5 + 11 > 3rd
16 > 3rd
3rd length < 16
Case 2
1st + 3rd > 2nd
5 + 3rd > 11
3rd > 11 - 5
3rd > 6
Thus, we have
6 < 3rd length < 16
Since the 3rd length is greater than 6, then the smallest possible length for the 3rd side is 7
Learn more about sides of triangles:
https://brainly.com/question/17113064
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Suppose that the halflife of a substance is 250 years . If there were ir 100 the substance , (a) give an exponential model for the situation, and (b) how much wil years?
can anyone answer this please:(
12 1/2 gal= qt
can you help me plsssssss
Answer:
50 qrts
Step-by-step explanation:
12.5 gal = 4x qrts
12.5 * 4 = 50
in 1/2 a gal. there is 2qt.
so that makes a gal = 4qt.
12 x 4 =48qt plus 2qt equals 50 qt
Rachel finished
3
_
4
of the race in 6 hours. How long was the entire race?
Answer:
8 hours
Step-by-step explanation:
Answer:
bjhmiukjgjhkuijkl
Step-by-step explanation:
In the most recent NBA Finals series, Lebron James took 175 shots and made 80.
In his last NBA Finals series, Michael Jordan took 190 shots and made 85. Who had a better percentage?
Answer:
Michael Jordan
Step-by-step explanation:
190-85 =105
175-80=95
Answer:
Michael Jordan
Step-by-step explanation:
I need help please and thanks
Answer:
1.) 3
2.) 11
3.)17
Step-by-step explanation:
you would want to add them up then multiply
Answer:
M<1=55
M<2=55
M<3= 70
Step-by-step explanation:
Angle 1 and 2 are equal
What is 350,000 as a whole number and a power of ten
Answer:
350,000 add ten more zeros
Step-by-step explanation:
350,000¹⁰ 350,000 000,0000
Evaluate x=2
F(x)=2x+4
A 100-inch pipe is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
If Big Bun won 5 out of 25 matches, what percent did he win?
Answer:
5/25*100=
1/5*100=100+5=20
Math plz help
Geometry
Answer:
Okay
Step-by-step explanation:
Since it's a parallelogram, the adjacent angles on the same side is complimentary. Meaning they add up to get 180°.
So,
12x° + 8x° = 180°
20x°= 180°
x°= 180/20
x°= 9°
Hope you understand. Thank you
A number cube has a volume of 27 mm3. What is the length of one edge of the cube
At a little-known vacation spot, taxi fares are a bargain. A 16-mile taxi ride takes 24 minutes and costs $9.60. You want to find the cost of a 42-minute taxi ride. What unit price do you need?
Answer:
$32.90
Step-by-step explanation:
You would need $32.90 to get travel by the taxi.
Can someone pls help me right quick hurry pls
Answer:
b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
4 in hundreds (400)
3 in ones (3)
2 in tenths (.2)
9 in hundredths (.09)
If a, b are real numbers and 7a + i(3a - b) = 14 - 6i , then find the values of a and b.
If a, b are real numbers and 7a + i(3a - b) = 14 - 6i, then find the values of a and b. Therefore, the value of a = 2 and the value of b = 12. 3.
The value of the variables 'a' and 'b' of the complex equation will be 2 and 12, respectively.
What is a complex number?The complex number is the combination of the real part and the imaginary part. Then the complex number is given as a+bi where the value of i is √(-1) and the value of i² is -1.
The equation is given below.
7a + (3a - b)i = 14 - 6i
Compare the real part of the equation, then we have
7a = 14
a = 14 / 7
a = 2
Compare the imaginary part of the equation, then we have
3a - b = - 6
3 x 2 - b = -6
6 - b = - 6
b = 6 + 6
b = 12
The value of the variables 'a' and 'b' of the complex equation will be 2 and 12, respectively.
More about the complex number link is given below.
https://brainly.com/question/10251853
#SPJ2
what is the value of x in the equation below?
-3-(-8)-(-2)=x
Answer: The X =7
Step-by-step explanation:
So by simplifying both sides of the equation, then isolating the variable you get the answer and find the value of x Hope this Helps
PLEASE PLEASE HELP!!!!
Answer:
It's A or B but I think B
Step-by-step explanation:
How many cups of potatoes are needed if 1 cup of diced ham is used?
Answer:
i think 7 but i am not 100% sure
Step-by-step explanation:
What is the equation of this line in Slope intercept Form?
Answer:
y = x - 5
Step-by-step explanation:
I'm answering any 5th grade and below questions
Answer:
In at least one hundred words, describe how what Markandaya reveals about Kenny helps to shape his character, and which themes in Nectar in a Sieve are developed with this information.
Step-by-step explanation:
If 300 cones were sold, how many were chocolate?
Answer:
90
Step-by-step explanation:
4.28 divide by 7 equals ?
Answer:
0.611428571
Step-by-step explanation:
[tex]4.28 \div 7 \\ \\ = \frac{4.28}{7} \\ \\ = 0.611428571 \\ [/tex]