In a recent year, 6% of cars sold had a manual transmission. A random sample of college students who owned cars revealed the following: out of 124 cars, 29 had manual transmissions. Estimate the proportion of college students who drive cars with manual transmissions with 90% confidence.
Answer:
The estimate the proportion of college students who drive cars with manual transmissions with 90% confidence is
[tex]0.171 < p < 0.297 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 124
The population proportion p = 0.06
The number of cars with manual transmissions is k = 29
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 the sample proportion is mathematically represented as
[tex]\^ p = \frac{ 29 }{124 }[/tex]
=> [tex]\^ p = 0.234[/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{0.234 (1- 0.234 )}{124} } [/tex]
=> [tex]E = 0.063 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex]0.234 - 0.063 < p < 0.234 + 0.063 [/tex]
=> [tex]0.171 < p < 0.297 [/tex]
solve for x The value of x that would make q || r is
Answer:
x = 12
Step-by-step explanation:
If line r and line a are parallel, therefore:
(11x - 28) + (7x - 8) = 180° (consecutive interior angles are supplementary)
Solve for x
11x - 28 + 7x - 8 = 180
Add like terms
18x - 36 = 180
18x = 180 + 36 (addition property of equality)
18x = 216
x = 216/18 (division property of equality)
x = 12
Solve x^2 + 6x + 15 = 0 using the Quadratic Formula
Need answerrrrrrrrr fast
Answer:
960
Step-by-step explanation:
If there are 120 calories in 3/4 or 0.75 cup
In one cup = 120/0.75
= 160 calories per cup
160 * 6 cups = 960 calories in 6 cups
A glider flies 8 miles south from the airport and then 15miles east. Then it flies in a straight line back to. What was the distance of the glider’s last trip back to the airport?
Will give brainllest and points
Which statement BEST describes one step of photosynthesis?
A) Mitocholdria release energy
B) Chloroplasts release energy by breaking down food molecules
C) Chloroplasts absorb energy from the sun
D) Mitochondria transform solar energy into sugar
The step that best describes the one step of photosynthesis is Mitochondria transform solar energy into sugar.
What is Photosynthesis?
the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.
Given are the processes regarding photosynthesis.
The step that best describes the one step of photosynthesis is Mitochondria transform solar energy into sugar. Plants use sunlight, water, and carbon dioxide to create oxygen and energy in the form of sugar.
Therefore, the step that best describes the one step of photosynthesis is Mitochondria transform solar energy into sugar.
To solve more questions on photosynthesis, visit the link below-
https://brainly.com/question/1757345
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BOOK
Untitled document
Find the perimeter of the figure below, in feet.
7.7 ft
6.7 ft
6.7 ft
6.7 ft
6.7 ft
11 ft
11 ft
3.9 ft
3.9 ft
7.7 ft
Please help me fastt!
Step-by-step explanation:
-4
hope it helps!
.....
Answer:
In the image :
)
Step-by-step explanation:
HELPPSOJSUSHHWYAYSYYSYYEHWHWHS
Answer:
1. (-4, 1)
2. I substituted (y = x + 5) into (3x + y = -11) first before substituting the value of x into (y = x + 5) to find the value of y.
Step-by-step explanation:
Substitute y = x + 5 into 3x + y = -11:
3x + y = -11
3x + x + 5 = -11
4x + 5 = -11
4x = -11 - 5
= -16
x = -16 ÷ 4
x = -4
Substitute x = 4 into y = x + 5:
y = x + 5
y = -4 + 5
y = 1
A coordinate point is written like this: (x, y)
Thus, the final answer is: (-4, 1)
An antelope can run 152.5 miles in 2.5 hours. What is the average speed of the antelope?
Answer:61mph
Step-by-step explanation:
152.5/2.5=61
Answer:
Easy, it's 61miles per hour
Step-by-step explanation:
HELP ME PLEASEEEE :)
Answer:
I believe it to be C
Step-by-step explanation:
1 Selena rewrote the expression 4(5m + 12s) using the distributive property. What expression did Selena create?
4(5m + 12s)
= 20m + 36s
Hope this helps
I WILL GIVE BRAINLIEST TO WHOMEVER ANSWERS FIRST
A/g=1 solve for a how do I get my answee to this problem
Answer:
a=g
Step-by-step explanation:
If you are solving for 'a', then you just need to get 'a' separated on its own. To do this, you can multiply both sides of the equation by 'g'. Now you have "a=1g" which simplifies into "a=g"
round 689 to the nearest thousand
Answer:
1000
Step-by-step explanation:
680 rounded to the nearest thousand is 1000.
Hope this helps! :D
Help please I need it
Answer:
sadddddddddddddddddd
Step-by-step explanation:
jugkhvvvvvvvvvvebannabadjguy8uegksmbn iyah
ASAP please help me I need this quick
The question and answers are in the picture
Emma borrowed 89.40 from her sister. she determines that she can pay her back in four months worth of allowance. What effect will emma's repayment have on her monthly bank account
A caterer charges a setup fee of $50, plus $20 per person. Write an equation representing the total charge for the catering.
Answer: $50 + $20(x) | X being the number of people |
I hope this helps, and Happy Holidays! :)
Who is good at math?
Answer:
me depending on what kind of math it is
Step-by-step explanation:
in a packet or Skittles there are, 40 Skittles,30 are red how many Skittles are not red
Answer:
10
Step-by-step explanation:
hope this helps ")
HELP! i don't get this, at all, i chose an option on accident so don't mind that.
Note that multiplication is commutative, in simpler terms, the order of multiplication doesn't matter at all. We shall use this to solve the problem.
[tex](-4)\times(-3\frac{5}{6} )= (-4)\times(-3)\times(\frac{5}{6})[/tex]
Now, what we also know is that a negative number times a negative number is a positive number. And we also know that 4 times 3 is 12.
So,
Writing the same thing in a more convenient way:
[tex]12\times\frac{5}{6} = 12\frac{5}{6}[/tex]
So the answer is the second alternative
The cost of 90 kg of rice is 4500. what is the cost of 2 quintal of rice?
Answer:
The cost of 2 quintal of rice is $10,000.
Step-by-step explanation:
To determine the cost of 2 quintals of rice, knowing that 90 kilos of said product is worth $ 4,500, it is first necessary to establish the equivalence between quintals and kilograms. In this regard, a quintal is equivalent to 100 kilograms, so 2 quintals are equivalent to 200 kilos.
Now, to determine the cost per kilogram of rice, the following calculation is required:
4,500 / 90 = X
50 = X
Therefore, 1 kilogram of rice costs $ 50. Thus, since 200 x 50 equals 10,000, 2 quintals of rice will cost $ 10,000.
By the Exterior Angle Theorem, which of the following is a true statement?
Answer:
2nd option is the correct answer
Step-by-step explanation:
[tex]m \angle 1 > m \angle 3 \: \& \: m \angle 1 > m \angle 7 \\ [/tex]
According to the Exterior Angle Theorem, the true statement should be considered as the option b.
What is an Exterior Angle Theorem?The exterior angle theorem defined that at the time when a triangle's side should be extended, the resultant exterior angle formed should be equivalent to the sum of the measures of the two opposite interior angles of the triangle.
So based on this, we can say that the option b is correct.
learn more about an angle here: https://brainly.com/question/6150811
Find the absolute maximum value of the function
Answer:
find ity yourself -_______________-
Step-by-step explanation:
If it is $5.25 for 1 pound of bananas what is the cost of 3.5 pounds
A) $18.37
B)$18.38
C)$19
D)$10.50
Hurry pls
Answer:
18.38 B
Step-by-step explanation:
let x be the cost of 3.5 pounds
5.25/1 = x/3.5
5.25=x/3.5
18.375=x
since you can't buy 3.5 pounds with 18.37 (1 penny short), you need 18.28
What is the range of the set of numbers below?
Answer:
8 and -7
Step-by-step explanation:
PLEASE HELP A GIRL IN HELPPP
Answer:
(-25 + 4 squared) x 7
( -25 + 16) x 7
-9 x 7
-63
Step-by-step explanation:
Bored? Get your brain exercised with a TRICKY MATH question!
Convert 8.91 x 10⁷
Hint: The exponent 7 is positive, so move the decimal seven spaces to the right and fill with zeros!
Answer:
[tex]the \: answer \: i s \: 89100000 \\ to \: be \: honest \: it \: wasnt \: that \: hard[/tex]
Answer:
89100000
Step-by-step explanation:
That wasn't tricky but okay!
10 to the power of 7 is basically 10000000
Just multiply 8.91 by 10000000 and you have the answer
please help me asap and
Answer: p < 5
Step-by-step explanation:
You subtract 5 from each side and end up with p < 5