Using the condition for the hypothesis test of a proportion, it is found that since there are at least 10 successes and 10 failures in the sample, it is sufficient for him to use a simple random sample of 189 cars.
To test an hypothesis involving a proportion p in a sample of size n, it is needed that there are at least 10 successes and 10 failures, that is, these following conditions are needed.
[tex]np \geq 10[/tex][tex]n(1 - p) \geq 10[/tex]In this problem:
6% of the cars are hybrids, hence [tex]p = 0.06[/tex]Sample of 189 cars, hence [tex]n = 189[/tex].Then:
[tex]np = 189(0.06) = 11.34 \geq 10[/tex]
[tex]n(1 - p) = 189(0.94) = 177.66 \geq 10[/tex]
Hence, since there are at least 10 successes and 10 failures in the sample, it is sufficient for him to use a simple random sample of 189 cars.
A similar problem is given at https://brainly.com/question/24261244
Maria went last minute Christmas shopping, and found that the store was having a sale: 1 throw blanket was $3. Including tax (8.25%), her bill came out to $29.22 - How many throw blankets did Maria buy?
Answer:
8
Step-by-step explanation:
Answer:
Step-by-step explanation:
The cost of one throw blanket was 3(1.0825) = 3.2475
1 blanket costs 3.2475
x blankets cost 29.22 Cross multiply
3.2475 x = 29.22 Divide by 3.2475
x = 29.22/3.2475
x = 9 dollars. The person writing the question and I differ by 1/433 because we rounded at different times. You should round at the end.
Please help I’m stuck would be so nice
Answer:
y = 1/2x + 1/2
Step-by-step explanation:
Pick two point that you can write an ordered pair that are on the line.
Points (1, 1) and (3, 2).
Slope = (change in the y-values)/(change in the x-values)
Slope = (2 - 1)/(3 - 1)
Slope = 1/2
Next substitute the slope = 1/2 and point (3, 2) into y = mx + b and solve for "b"
y = mx + b
2 = 1/2(3) + b
2 = 3/2 + b
2 - 3/2 = b
1/2 = b
The equation of the line: y = 1/2x + 1/2
the coach brought 10 candy for 0.95 cents how much did he spend?
Answer: $9.50
Step-by-step explanation: .95 x 10 is 9.5
Can someone please help me with#6-#8?I'm not sure how to find the answers and graph it in the graphs given.
Answers:
6. Slope = -5/3; y intercept = 57. Slope = -1; y intercept = 28. Slope = 3; y intercept = 0The graphs are below
========================================================
Explanation:
6)
Let's solve for y to get the equation in slope intercept form y = mx+b
[tex]5x+3y = 15\\\\3y = -5x+15\\\\y = \frac{-5x+15}{3}\\\\y = \frac{-5x}{3}+\frac{15}{3}\\\\y = -\frac{5}{3}x+5\\\\[/tex]
That last equation matches with y = mx+b to get
m = -5/3 = slope
b = 5 = y intercept
To graph this, we plot the y intercept at (0,5). Then move down 5 and to the right 3 to arrive at (3,0) as the second point. This movement is directly tied to the slope. We only need two points to graph a straight line.
---------------------------------
7)
The equation y = -x+2, aka y = -1x+2, is already in slope intercept form
m = -1 = slope
b = 2 = y intercept
Start at (0,2) which is the location of the y intercept. Move down 1 and to the right 1 due to the slope -1/1 = -1. This should move us to the point (1,1). Connect the two points (0,2) and (1,1) with a straight line to finish up the graph.
---------------------------------
8)
We start with the origin (0,0) because the y intercept of y = 3x is 0. It might help to think of y = 3x as y = 3x+0
Then we move up 3 units and to the right 1 unit to get to (1,3) as our next point. Connect the two points with a straight line
slope = 3
y intercept = 0
Once again, the graphs are shown below.
Suppose that 30 deer are introduced in a protected wilderness area. The population of the herd can be approximated by ()= 30+2 1+.05 , where is the time in years since introducing the deer. Write the equation of the horizontal asymptote for this function. Also, interpret what this asymptote means in the context of the problem (in terms of the deer population and the number of years since the deer were introduced into the wilderness area).
The horizontal asymptote of the function is the minimum number of deer in the area.
The equation of horizontal asymptote is: [tex]\mathbf{f(x) = 40}[/tex] The horizontal asymptote means that, the number of deer will never be less than 40The equation is given as:
[tex]\mathbf{f(x) = \frac{40 + 2x}{1 + 0.05x}}[/tex]
Expand the numerator
[tex]\mathbf{f(x) = \frac{40(1 + 0.05x)}{1 + 0.05x}}[/tex]
Cancel out the common factors
[tex]\mathbf{f(x) = 40}[/tex]
Hence, the equation of horizontal asymptote is:
[tex]\mathbf{f(x) = 40}[/tex]
The horizontal asymptote means that, the number of deer will never be less than 40
Read more about horizontal asymptotes at:
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Make an equation with no solution
Answer:
[tex]f(x)=\frac{4}{3}x+1[/tex]
Step-by-step explanation:
The graphed function is:
[tex]f(x)=\frac{4}{3} x-2[/tex]
Now, a system of linear equations with no solution means 2 lines that never intersect at any point. The only way that can be true is if both lines are parallel, or have the same slope.
You can write any equation that has the same slope, I'll do this one:
[tex]f(x)=\frac{4}{3}x+1[/tex]
You can confirm that they are parallel in the attached image.
The reason they cannot intersect is because the point at which 2 lines intersect is the solution. If they intersect at any point, there is a solution, and that solution is that point.
85% of the dogs at a park weighed over 50 pounds. If there were 400 dogs at the park, how many dogs at the park weighed over 50 pounds?
Answer:
425
Step-by-step explanation:
The number of dogs at the park that weighed over 50 pounds will be 332 dogs.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
85% of the dogs at a park weighed over 50 pounds. If there were 400 dogs at the park. Then the number of dogs at the park that weighed over 50 pounds will be given as,
⇒ 85% of 400
⇒ 0.85 x 400
⇒ 332 dogs
The number of dogs at the park that weighed over 50 pounds will be 332 dogs.
More about the percentage link is given below.
https://brainly.com/question/8011401
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Each table in a cafeteria seats 8 students. How many tables are needed to seat 320 students?
40 seats for that many people
Sammie has 9 fewer rings than emilio. Sammie has 7 more rings than Sara. Emilio has 34 rings
Answer:
sara has 18 rings
sammie has 25 rings
Step-by-step explanation:
Emilio has 34
Sammie has 9 less than Emilio
34-9=25
Sammie has 7 more than sara
25-7=18
sara has 18
The number of rings that Sammie and Sara will have will be 25 and 18 respectively.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Suppose the number of rings Sammie have is "S" the number of ring Emilio have is E and the number of rings that Sara has is "Sr"
As per the given,
S = E - 9
S = Sr + 7
And , E = 34
By substitution,
S = 34 - 9 = 25 and Sr = 25 - 7 = 18
Hence "The number of rings that Sammie and Sara will have will be 25 and 18 respectively".
For more about the equation,
https://brainly.com/question/10413253
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Marty is 54 years old, and his niece is 6. How many times older is Marty than his niece? Choose the answer that has the correct equation AND the correct solution to the equation.
6x = 54; x = 9 times older
54 + x = 6; x = 48 times older
54x = 6; x = 9 times older
6x = 54; x = 8 times older
Answer: A) 6x = 54; x = 9 times older
Step-by-step explanation:
9 x 6 = 54
Complete the table. Use powers of 64 in the top row and radicals or rational numbers in the bottom row.
Applying the rules of exponents and radicals, the table can be completed as follows:
First column: [tex]64^1 = 64[/tex]
Second Column: [tex]\mathbf{64^\frac{1}{2} = 8}[/tex]
Third Column: [tex]\mathbf{64^\frac{1}{3} = 4}[/tex]
Fourth Column: [tex]\mathbf{64^0 = 1}[/tex]
Fifth Column: [tex]\mathbf{64^{-\frac{1}{2}} = \frac{1}{8}}[/tex]
Sixth Column: [tex]\mathbf{64^{-1} = \frac{1}{64}}[/tex]
The table to complete is attached below.
We will need to apply the knowledge of exponents and radicals of a number in order to fill out the table.
The numbers expressed as powers of 64 in the top row are equivalent to the numbers expressed as radicals or rational numbers in the corresponding cells in the bottom row.
Also, recall the following rules of exponents and radicals:
[tex]x^{\frac{a}{b}} = \sqrt[b]{x^{a}}[/tex][tex]x^{-a} = x^{\frac{1}{a} }[/tex][tex]x^{0} = 1[/tex]Appling the above rule, we would have the following:
First column:[tex]64^1 = 64[/tex]
Second Column:[tex]64^\frac{1}{2} = \sqrt[]{64} = 8\\\\\mathbf{64^\frac{1}{2} = 8}[/tex]
Third Column:[tex]64^\frac{1}{3} = \sqrt[3]{64} = 4\\\\\mathbf{64^\frac{1}{3} = 4}[/tex]
Fourth Column:[tex]\mathbf{64^0 = 1}[/tex]
Fifth Column:[tex]64^{-\frac{1}{2}} = \frac{1}{64^{\frac{1}{2}} } = \frac{1}{\sqrt{64} } = \frac{1}{8} \\\\\\\mathbf{64^{-\frac{1}{2}} = \frac{1}{8}}[/tex]
Sixth Column:[tex]64^{-1} = \frac{1}{64^1} } = \frac{1}{64 } \\\\\mathbf{64^{-1} = \frac{1}{64}}[/tex]
Therefore, applying the rules of exponents and radicals, the table can be completed as follows:
First column: [tex]64^1 = 64[/tex]
Second Column: [tex]\mathbf{64^\frac{1}{2} = 8}[/tex]
Third Column: [tex]\mathbf{64^\frac{1}{3} = 4}[/tex]
Fourth Column: [tex]\mathbf{64^0 = 1}[/tex]
Fifth Column: [tex]\mathbf{64^{-\frac{1}{2}} = \frac{1}{8}}[/tex]
Sixth Column: [tex]\mathbf{64^{-1} = \frac{1}{64}}[/tex]
Learn more here:
https://brainly.com/question/11790376
A car salesperson’s monthly salary is calculated by a base salary of $1600 per month plus $500 for each car sold. Graph the linear relationship between monthly salary and number of cars sold.
Answer: Ok so when he starts with one month he has $1600 each month and add $500x for example for the second month add another $1600 and $500x and so on the x stands for however many cars he sold that day
Order the fractions from least to greatest:
Answer:
2/3, 5/6, 2/9, 11/18
Step-by-step explanation:
Answer:
2/9, 11/18, 2/3, 5/6
Step-by-step explanation:
multipy all the denominators and numerators by what it takes to get 18
ie. 2/3 *6 =12/18
etc.
Select a point not on the line. Show that the ordered pair represented by this point is not a solution of the equation 8x + y = 200.
(5, 40) is not on the line.
Equation: 8x + y = 200.
Plug in our choosen point: 8(5) + (40) = 200.
Mulitply: 40 + 40 = 200
Add: 80=200
Answer: 80≠200
This works for your problem.
0
Question 2
What is the height of the parallelogram?
5 in.
Area: 40 sq. inches h
10 in.
a. 4 inches
X 6.5 inches
C. 25 inches
d. 50 inches
Answer:
4 inches
Step-by-step explanation:
a parallelogram's area is represented by the equation l * h where l is the length and h is the height
the length is 10 the height is h and area is 40 so we can do this
10h = 40
h = 4
Answer:
4 inches
[tex]10h = 40 \\ \\ h = \frac{40}{10} \\ \\ h = 4 \: inches[/tex]
Which expression is equivalent to
-4/5÷-2/5 (Select all the apply)
(-5/4) x (-2/5)
4/5 ÷ 2/5
(-5/4) ÷ (-2/5)
(-4/5) x (-5/2)
(5/4) x (-5/2)
Step-by-step explanation:
= -4/5 ÷ (-2/5)
= (-4/5) × (-5/2) or 4/5 × 5/2
Option → B
4/5 ÷ 2/5
Negatives cancel out and answer is the same
Which of the following numbers round to 43,000 when rounded to the nearest thousand? Select all that apply 42,499 42,532 42,983 43,099 43,909
Answer:
43,099
Step-by-step explanation:
Answer:
42,499, 43,099, 42,983, 42,532
Step-by-step explanation:
A skateboarder rides by my office every 12 minutes, and a cyclist rides by every 8 minutes. How long will it take for the skateboarder and cyclist to ride by at the same time?
Answer:
48 minutes
Step-by-step explanation:
onsider this equation:
–2x – 4 + 5x = 8
Generate a plan to solve for the variable. Describe the steps that will be used.
Answer
X = 4
Step-by-step explanation:
-2x - 4 +5x = 8
-2x + 5x = 3x
3x - 4 = 8
+4 +4
3x = 12
3x 3x
X=4
the graph of the quadratic parent
function 9(x)
X2 is translated 3 units to
the right and 2 units down, which of the
following equations describes the
translated graph?
A y = (x - 3)2 + 2
B y = (x - 3)2 - 2
C y = (x + 3)2 - 2
В
D y = (x + 2)2 + 3
Answer:
y = (x - 3)²-2 is the correct answer
Pls help 100 point math question !!!!
Answer:
Step-by-step explanation:
a1 = - 13
an = a_(n - 1) + 6
a2 = a_(2 -1) + 6
a2 = a1 + 6
a2 = - 13 + 6
a2 = - 7
a3 = a2 + 6
a3 = - 7 + 6
a3 = - 1
a4 = a3 + 6
a4 = - 1 + 6
a4 = 5
a5 = a4 + 6
a5 = 5 + 6
a5 = 11
a_n=a_{n-1}+6
a1=-13a2
a1+6-13+6-7a3
-7+6-1a4=-1+6=5
a5
5+611Can someone please explain step by step on this problem for a brainliest!
Answer:
Combine the like terms. In this equation there are two like terms. They both are xy. Note: When there is no number in front of a term, you can assume that the number is 1.
5xy - 1xy
Subtract normally and then attach the xy.
4xy
Hope this helps! :)
Answer:
X(5y-y)
Step-by-step explanation:
it is a simple equationi need help asap please
Answer:
With what then i'll answer
Step-by-step explanation:
If you can at least answer one that would be great. If u answer both that wuld be amazing and if would get u brainliest, but i need an answer fast please!!!
Answer:
1. 0.55
2. 11.36 (12)
Step-by-step explanation:
Question 1
If the price of one gallon is 2.09, and the conversion rate of gallon to litre is:
1 gallon : 3.785l
We can divide the cost of one gallon by the equivalent of 1 gallon in litres:
2.09 ÷ 3.785 = 0.5521
= 0.55
Question 2
If one quart is 4kg, and we need to find the total number of quarts in 100 pounds, we can convert kg into lbs and divide:
1kg = 2.2lbs
4kg = 4(2.2)lbs
4kg = 8.8lbs
Now divide 100lbs by this:
100 ÷ 8.8 = 11.3636
= 11.36
Technically this should be rounded up to 12 quarts as you wouldn't be able to have 0.36 quarts but just in case.
Hope this helps!
If you choose one student at random, what is the probability (±0.0001) that the student's score is between 20 and 30?
Cynthia invested $12,000 in a savings account. If the interest rate is 6%, how much will be in the account in 10 years by compounding continuously? Round to the nearest cent.
Answer:
$21865.43Step-by-step explanation:
Given:
Investment P = $12000Interest rate r = 6% or 0.06Time t = 10 yearsCompound number n = continuousUse formula below to find the final amount:
[tex]A=P*e^{rt}[/tex]Find the amount:
[tex]A=12000*e^{0.06*10}=21865.43[/tex]A = p • e^(rt)
A = 12,000•e^(6%•10)
A = 21865.43
what is 23.5% decrease of 7,400
If I bought 2.5 pounds of grapes that costs 1.48 per pound, and pay with a $10 gift card how much money remains on the card?
$ 6.30
Step-by-step explanation:
10 - (2.5 x $ 1.48) = $ 6.30
In the picture below, segment DE is a midsegment of triangle ABC. If DE is
parallel to AC and AC has a length of 30 feet, how long is DE?
Answer:
6
Step-by-step explanation:
I believe it is 6 if not please let me know I can help you figure it out
Hope this helps
MC Math question PLS HELP 100 POINTS
Step-by-step explanation:
A1 = 9
r = 2/3
An = ar^{n - 1}
An = 9.(2/3)^{n - 1}
Option → C
