Answer:
The probability here is 62%
The probability that the newspaper's sample will lead it to predict defeat is approximately 0.0495, or about 5%.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Let X be the number of voters in the sample who do not support the budget (i.e., who will vote against it). Then X follows a binomial distribution with parameters n = 417 (the sample size) and p = 1 - 0.54 = 0.46 (the probability that a voter does not support the budget).
The probability that the sample will lead the newspaper to predict defeat is the probability that X is greater than half the sample size (since the budget will be defeated if more than half of the voters in the population vote against it). In other words, we need to calculate:
P(X > 0.5n) = P(X > 0.5 × 417) = P(X > 208.5)
We can use a normal approximation to the binomial distribution to estimate this probability. The mean of the binomial distribution is np = 417 × 0.46 = 191.82, and the standard deviation is √(np(1-p)) = √(417 × 0.46 × 0.54) = 10.04.
To apply the normal approximation, we standardize the random variable X as follows:
Z = (X - np) / √(np(1-p))
Then we can use a standard normal distribution table or calculator to find the probability:
P(X > 208.5) = P(Z > (208.5 - 191.82) / 10.04) = P(Z > 1.65) ≈ 0.0495
Therefore, the probability that the newspaper's sample will lead it to predict defeat is approximately 0.0495, or about 5%.
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If the area of a circle is 31.36 pi, then what is its radius?
Answer:
5.6 units
Step-by-step explanation:
[tex]\boxed{area \: of \: circle = \pi {r}^{2} }[/tex]
Given that the area of the circle is 31.36π,
31.36π= πr²
Divide both sides by π:
31.36= r²
r²= 31.36
Square root both sides:
[tex]r = \sqrt{31.36} [/tex]
r= 5.6 units
It cost the shoe factory $26.47 to make a pair of Purple Pedi running shoes. The mall sells them for $128.98. What is the percent mark-up?
If it cost the shoe factory $26.47 to make a pair of Purple Pedi running shoes and the mall sells them for $128.98 then 3.87 is the percent mark-up.
How much of a markup is that?The gross profit of a unit is determined by subtracting its cost to produce or acquire for resale from its sales price to determine the markup percentage. The markup percentage is computed as (12 - 8) / 8 and equals 50% if an item is priced at $12 but costs the manufacturer $8 to produce.
Some individuals will inform you that a 5% markup equates to a markup of 5% of the price your customer pays. In your illustration, this is stating that you add a specific amount to your cost, $62, to arrive at a price of $P for your customer, and the amount you added is 5% of $P. This means that your cost of $62 is 95% of the price of P.
($128.98 - $26.47)/ $26.47
= 3.87.
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Fill in the sentence below with the description that most specifically applies to the quadrilateral below.
The figure with equal opposite sides and all the interior angles being right angles is a rectangle.
What is a quadrilateral?A quadrilateral is a closed object in geometry that is created by connecting four points, any three of which are not collinear. There are 4 sides, 4 angles, and 4 vertices in a quadrilateral.
A rectangle is a special type of quadrilateral in which opposite sides are of equal length(not all sides are the same) and all the interior angles are right angles.
From the given diagram the opposite sides are equal and all the interior angles are right angles hence the figure is a rectangle.
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PLZ HELP ASAP! IM FAILING SO PLEASEEEE
Answer: B
You can find slope by using the slope formula. Because we are already given two coordinate points, we can use that to find our slope. The slope formula is [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]. This also refers to [tex]\frac{5-(-5)}{0-4}[/tex] or 10/-4 or -5/2. Any coordinate with the x-value as 0 means that that coordinate is the y-intercept. Because (0,5) has 0 as its x-value, the y-intercept is 5.
A blueprint of a house has a scale in which 1 inch equals 4 1/2 feet. If the living room wall measures 7 1/4 inches on the drawing, what is the actual length of the wall?
The actual length of the wall is ___ feet
Answer:
Step-by-step explanation:
1 : 4 1/2 :: 8 1/5 : x proportion
x = (4 1/2)(8 1/5) product of means/extremes
x = (9/2)(41/5) change improper fraction
x = 369/10 multiply
x = 36.9 change to decimal
The actual length is 36.9 feet.
Please i have a question you can help me for answer.
The question is
Follow the construction program to build below the figure
° Draw a segment {ST} of length 9 cm.
°Draw the circle with center T and radius 4 cm
.
° Draw the circle with diameter {ST}
° The two circles intersect at A and B. Without measuring, give the length of the segments {TA} and {TB}:
The length of segments TA and TB are both 4 cm.
How to determine the diagram and the lengthsTo solve this problem, we can use the properties of circles and the relationship between the radius and the diameter.
Since the radius of the circle with center T is 4 cm, the diameter of this circle is 2 * 4 = 8 cm.
Since the length of segment ST is 9 cm, the diameter of the second circle is also 9 cm.
Since the radius of the circle with center T is 4 cm, the radius of the second circle is also 4 cm.
Since the two circles intersect at points A and B, the segments TA and TB are equal in length.The length of segment TA and TB is the radius of the second circle, which is 4 cm.
Therefore, the length of segments TA and TB are both 4 cm.
The figure is attached
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Mr. Smith has saved $1,800 each year for 20 years. A year after the saving period ended, Mr. Smith withdrew $7,500 each year for a period of 5 years. In the sixth and seventh years, he only withdrew $5,000 per year. In the eighth year, he decided to withdraw the remaining money in his account. If the interest rate was 6% per year throughout the whole period, what was the amount he withdrew at the end of the eighth year?
At the end of the eighth year, the amount Mr. Smith withdrew was $41,757.68.
How the ending withdrawal is determined?The amount that Mr. Smith withdrew at the end of the eighth year is a product of a series of computations, involving future value determination.
In this situation, we have used an online finance calculator to determine the future value of the investment at each leg.
First Leg:N (# of periods) = 20 years
I/Y (Interest per year) = 6%
PV (Present Value) = $0
PMT (Periodic Deposits) = $1,800
Results:
FV = $66,214.06
Sum of all periodic payments = $36,000 ($1,800 x 20)
Total Interest = $30,214.06
Second Leg:N (# of periods) = 5 years
I/Y (Interest per year) = 6%
PV (Present Value) = $,
PMT (Periodic Withdrawal) = $-7500
Results:
FV = $46,331.15
Sum of all periodic payments = $-37,500 ($7,500 x 5)
Total Interest $17,617.09
Third Leg:N (# of periods) = 2 years
I/Y (Interest per year) = 6%
PV (Present Value) = $46,331.15
PMT (Periodic Withdrawal) = $-5000
Results:
FV (Final Withdrawal) = $41,757.68
Sum of all periodic payments = $-10,000 ($5,000 x 2)
Total Interest = $5,426.53
Thus, the amount of $41,757.68 was withdrawn by Mr. Smith at the end.
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A shipping container will be used to transport several 150-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 8700 kilograms have already been loaded into the container. Use the drop-down menu below to write an inequality representing cc, the total number of 150-kilogram crates that can be loaded into the shipping container.
Answer:
Below
Step-by-step explanation:
(27500 - 8700) >= 150 x where x is the number of 150 kg containers
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
8.8
Step-by-step explanation:
To find the hypotenuse...
a²+b²=c²
C is the hypotenuse, so we add the others...
8.4²+2.6²=c²
70.56+6.76=c
77.32=c
Now, square root c to bring it to its original position.
√77.32=8.8
Your answer is 8.8 yards.
if the perimeter of an equilateral triangle is 12 inches ,what is the side length
Answer:
4 in.
Step-by-step explanation:
By definition of a equilateral triangle, all sides and interior angle measurements are congruent.
Essentially, all interior angles = 60°
By definition of a triangle, a triangle has 3 sides. It is given that the total measurement of the sides is 12. Divide 12 with 3: 12/3 = 4
4 inches is the side length.
~
Answer:
4
Step-by-step explanation:
12 ÷ 3 = 4
all the sides are equal
6) Round off 78342 to the nearest thousand.
Simplify. 3(x+2y)+5x−y+1
A 8x+y+1
B 8x+5y+1
C 8x+7y+1
D 6xy+5x−y+1
Answer: 8 x + 5 y + 1
8x+5y+1
so that would be B)
Pls help me
Here is triangle ABC:
No links pls
Answer:
[tex]Given: AC=1[/tex]
∠A=0
[tex]Cos0=\frac{B}{H} =\frac{AB}{AC}[/tex]
[tex]Cos0=\frac{AB}{1}[/tex]
[tex]AB=Cos0[/tex]
-------------------------
hope it helps...
have a great day!!
Answer:
AB = AC×cos theta= cos theta
Select the correct answer.
Write an expression to represent the sum of three times the square of a number and —7.
In your expression, what is the value of the constant?
Ο Α.
3
O B.
7
OC.
2
OD.
1
Answer:
3x^2-7
-7 is the constant
3 is the coefficient
x is the variable
Step-by-step explanation:
(3x^2)+(-7)
Plzz help me Well Mark Brainliest if correct!
,
Answer:
B) 3:00
Step-by-step explanation:
Its B the answer is 3:00
you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
Step-by-step explanation:
1. move the decimal to make the numbers whole
0.25 - move to the right 2 times - 25
0.044 - move to the right 3 times - 44
2. Multiply 25 * 44 = 1,100
3. Add decimal
you moved the decimal 6 times in total for both numbers...so move the decimal 6 times starting from right.
Answer - 0.01100 or 0.011
hi can u pls help asap ty
Answer:
this is your proper answer ...
Solve the following system of equations:
−2x + y = 1
−4x + y = −1
(3, 1)
(−1, 3)
(−1, −3)
(1, 3)
Answer:
(1,3)
Step-by-step explanation:
[tex]\sf Answer\begin{cases} \sf \rightarrowtail \: - 2x + y = 1 \dots(1) \\ \sf \rightarrowtail \: - 4x + y = - 1 \dots(2) \\ \sf 2 \times (1) \implies - 4x + 2y = 2 \\ \sf 1 \times (2) \implies - 4x + y = - 1 \\ \bf \star \: substracting \: both \\ \sf \rightarrowtail \: y = 3 \\ \sf \rightarrowtail \: -2x+(3)=1 \\ \sf \rightarrowtail \: -2x=-2 \\ \sf \rightarrowtail \: x=1\end{cases}[/tex]
A cosine function has a period of 4, a maximum value of 20, and a minimum value of 0. The function is not a reflection of its parent function over the x-axis.
Which function could be the function described?
a. f(x)=10cos(2x)−10
b. f(x)=−10cos(π/2x)+10
c. f(x)=10cos(π/2x)+10
d. f(x)=−10cos(2x)+10
Telephone poles, spaced 100 feet apart, line the road on which Jesse lives. If Jesse runs from the first pole to the seventh pole, how many feet does he run? Draw a picture that illustrates the problem.
Answer:
She would have ran 700 feet.
Step-by-step explanation:
If there are many many poles, and she runs across 7 of them, that would be the number of poles multiplied with the distance: 7 x 100 = 700.
Solve (2 - x)^2 < 4/25
Answer:
8/5 < x< 12/5
Step-by-step explanation:
(2 - x)^2 < 4/25
Take the square root of each side
sqrt((2 - x)^2) <±sqrt( 4/25)
Make two equations
2-x < 2/5 2-x > -2/5
Subtract 2 from each side
2-x-2 < 2/5 -2 2-x-2 > -2/5-2
-x < 2/5 - 10/5 -x > -2/5 - 10/5
-x < -8/5 -x > -12/5
Multiply by -1, remembering to flip the inequality
x> 8/5 x < 12/5
8/5 < x< 12/5
On the last day of a Shakespeare class, an English teacher asked her students which play
they liked most. Out of the 12 students, 4 liked Macbeth best.
What is the probability that a randomly selected Shakespeare student likes Macbeth best?
Write your answer as a fraction or whole number
Answer: The answer is 8/12, or 8 out of 12.
Step-by-step explanation:
There are 12 students, 4 liked Macbeth, meaning that the rest must like Shakespeare.
Which expression can be simplified as 1/18n? (n2)9. (n^-9)-2. (n^-6)-3. (n^-6)-3. (n-3)^6
Answer:
[tex]\frac{1}{n^{18}} = (n^{-3})^6[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{n^{18}}[/tex]
Required
Determine its equivalent
[tex]\frac{1}{n^{18}}[/tex]
Express 18 as 3 * 6
[tex]\frac{1}{n^{18}} = \frac{1}{(n^{3})^6}[/tex]
This can be rewritten as:
[tex]\frac{1}{n^{18}} = (\frac{1}{n^{3}})^6[/tex]
Apply the following law of indices:'
[tex]\frac{1}{a^b} = a^{-b}[/tex]
[tex]\frac{1}{n^{18}} = (n^{-3})^6[/tex]
Hence;
(d) is correct
Answer:D
Step-by-step explanation: cause im big brain
each day you do homework for m minutes and watch tv for 30 minutes. Which expression can you use to find how many minutes you do both activities.
Answer:
Let y be the expression for the minutes you do both activities.then
y=m+30 is the required expression
Given kite RSTU. Please I need help ASAP.
Someone please help me out
The figures for this problem are not scale drawings, as the ratios between the equivalent side lengths are different.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
Hence, when a figure is a dilation of another figure, the two figures are scale drawings.
For this problem, the ratio between the bases of the rectangles is given as follows:
12/6 = 2.
The ratio between the height of each rectangle is given as follows:
6/2 = 3.
As the ratios are different, the two figures are not scale drawings of one another.
For them to be scale drawings, it would be needed either a ratio of 2 for the heights or a ratio of 3 for the bases.
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What is the gravitational potential energy of a 55-kg person that has climber a 4,000 meter tall mountain?
Bonus: if one snickers bar is 1,100,000 joules of energy, how many snickers bars would provide enough fuel to climb the mountain ?
Ethan has 3pounds of mixed nuts how many ounces of mixed nuts does Ethan have ?
Answer:
48 ounces of Mixed Nuts
Step-by-step explanation:
You need to convert pounds to ounces to find the answer to this problem.
1 pound is 16 ounces, so multiply 3 by 16 for your answer,
what is the third term of an arithmetic sequence whose second term is 7 and whose sixth term is 23
Answer: 11
Step-by-step explanation:
Given
The second term of an AP is 7
The sixth term of an AP is 23
Suppose a and d be the first term and common difference of the sequence
[tex]\Rightarrow 7=a+d\quad \ldots(i)\\\Rightarrow 23=a+5d\quad \ldots(ii)[/tex]
Subtract the above equations
[tex]\Rightarrow 23-7=5d-d\\\Rightarrow 16=4d\\\Rightarrow d=4[/tex]
Put d in equation (i)
[tex]\Rightarrow 7=a+4\\\Rightarrow a=3[/tex]
So, the third term of the AP is [tex]a+2d[/tex]
[tex]\Rightarrow 3+2\times 4=11[/tex]
Solve 4x= If x=10
HURRY PLEASE ITS A TEST
Answer:
40
Step-by-step explanation:
4x
4(10)
Answer: 40
Step-by-step explanation: