Refer to previous question. At a .05 level of significance, it can be concluded that the proportion of the population in favor of candidate A is:
Answers
Using the z-distribution, it is found that since the test statistic is less than the critical value for the right-tailed test, it is found that it can be concluded that the proportion of the population in favor of candidate A is not significantly greater than 0.75.
At the null hypothesis, it is tested if the proportion is not significantly more than 75%, that is:
\(H_0: p \leq 0.75\)
At the alternative hypothesis, it is tested if the proportion is significantly more than 75%, that is:
\(H_1: p > 0.75\)
The test statistic is given by:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
In which:
\(\overline{p}\) is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.In the sample, 80 out of 100 people favored candidate A, hence, the parameters are:
\(n = 100, \overline{p} = \frac{80}{100} = 0.8, p = 0.75\)
Hence:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
\(z = \frac{0.8 - 0.75}{\sqrt{\frac{0.75(0.25)}{100}}}\)
\(z = 1.15\)
The critical value for a right-tailed test, as we are testing if the proportion is greater than a value, is \(z^{\ast} = 1.645\).
Since the test statistic is less than the critical value for the right-tailed test, it is found that it can be concluded that the proportion of the population in favor of candidate A is not significantly greater than 0.75.
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Related Questions
PLEASE HELPPP
Find AB
Answers
explanation:
just usepythagore theorem
y=1/3x+11/15 find x if y=6
Answers
Step-by-step explanation:
plug in y
6=1/3x+11/15
multiply both sides by 15 to get rid of the fraction
90 = 5x +11
move terms to make them like terms
-5x =11- 90
-5x = -79
divide both sides by -5
evaluate for x
help me please
ONLY ANSWER IF YOU KNOW
Answers
C
Step By Step explanation:
The FOIL method is a handy way to remember how to first multiply two binomials. It stands for “ First, Outer, Inner, Last “ and work as
• multiplying the First Terms
• multiplying the Outer Terms
• multiplying the Inner Terms
• multiplying the Last Terms
• finding the sum of all products.
Given the system of equations below. Use the Inverse of the matrix method to solve. x+2y+3z=11
2x+4y+5z=21
3x+5y+6z=27
Answers
The solution of the given system of equations is x = -4, y = 5 and z = 2 is the answer.
The system of equations given below:x + 2y + 3z = 11;2x + 4y + 5z = 21;3x + 5y + 6z = 27.
Here, we will solve this system of equations using inverse of the matrix method as follows:
We can write the given system of equations in matrix form as AX = B where, A = [1 2 3; 2 4 5; 3 5 6], X = [x; y; z] and B = [11; 21; 27].
The inverse of matrix A is given by the formula: A-1 = (1/ det(A)) [d11 d12 d13; d21 d22 d23; d31 d32 d33] where,
d11 = A22A33 – A23A32 = (4 × 6) – (5 × 5) = -1,
d12 = -(A21A33 – A23A31) = -[ (2 × 6) – (5 × 3)] = 3,
d13 = A21A32 – A22A31 = (2 × 5) – (4 × 3) = -2,
d21 = -(A12A33 – A13A32) = -[(2 × 6) – (5 × 3)] = 3,
d22 = A11A33 – A13A31 = (1 × 6) – (3 × 3) = 0,
d23 = -(A11A32 – A12A31) = -[(1 × 5) – (2 × 3)] = 1,
d31 = A12A23 – A13A22 = (2 × 5) – (3 × 4) = -2,
d32 = -(A11A23 – A13A21) = -[(1 × 5) – (3 × 3)] = 4,
d33 = A11A22 – A12A21 = (1 × 4) – (2 × 2) = 0.
We have A-1 = (-1/1) [0 3 -2; 3 0 1; -2 1 0] = [0 -3 2; -3 0 -1; 2 -1 0]
Now, X = A-1 B = [0 -3 2; -3 0 -1; 2 -1 0] [11; 21; 27] = [-4; 5; 2]
Therefore, the solution of the given system of equations is x = -4, y = 5 and z = 2.
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help please asap and thank you
Answers
Step-by-step explanation:
I am not sure I can see the room limitations.
what I see is that the kitchen is one large rectangle from
(-8, 8) to (0, 0).
the rec room is Amado one large rectangle from
(5, 6) to (8, -7).
I am basing the rest in this.
for the area calculations, please consider that the area of a rectangle is length × width, and the area of a triangle is half of the rectangle it splits in half with its baseline (as diagonal).
A)
area 1 =
rectangle (-8, 8) to (-5, 3)
plus
half of the rectangle (-5, 8) to (-3, 3)
3×5 + 1/2 × 2×5 = 3×5 + 1×5 = 15 + 5 = 20 yd²
area 2 =
half of the rectangle (-5, 8) to (-3, 3)
plus
rectangle (-3, 8) to (0, 3)
1/2 × 2×5 + 3×5 = 20 yd²
area 3 = area 4 =
half of the rectangle (-8, 3) to (0, 0)
1/2 × 8×3 = 4×3 = 12 yd²
B)
the total area of the kitchen is the sum of all 4 areas
20 + 20 + 12 + 12 = 64 yd²
we can also calculate this in general, seeing that the general dimensions of the kitchen are 8×8 : from (-8, 8) to (0, 0).
8×8 = 64 yd²
A football weighs 14 oz. A carton of footballs weighs 7 pounds. How many footballs are in the carton
Answers
Answer:
8 footballs
Step-by-step explanation:
We will turn 7 punds into oz.
7 * 16 = 112 oz
Now, we will divide the eight of the carton by the weight of a single football.
112 oz / 14 oz = 8 footballs
There are 8 footballs in the carton
A) Write a formula for the volume V of a prism (the prism is a pentagonal prism).
B) Solve the formula for B
C) Use the new formula to find the area of the base (B) of the prism.
Dimensions:
V=36 in³
h=6in
Answers
The area of the prism is 6in^2.
What is the volume of a prism?The prism is one of the shapes that we have in geometry. There are several types of prism such as;
Pentagonal prismTriangular prismRectangular prism etcNow we know that;
Volume of a prism = base area * height
In this case;
Base area = ?
Volume = 36 in³
Height = 6in
Base area = Volume /height
Base area = 36 in³/ 6in
Base area = 6in^2
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one method of conducting a survey involves selecting a sampling of a representative group of people. true false
Answers
It is true that one method of conducting a survey involves selecting a sampling of a representative group of people. This is called survey sampling.
Survey sampling is defined as a statistical method that involves selecting and surveying individuals from a particular group of people. The population that is chosen to survey could be based on a range of attributes. The target audience could be a general group like the United States' population or a more specific group, like young adults, voters in California, or male pet owners from New England.
Survey sampling involves three steps, which are:
sample selection: what group of people to include in one's sample,data collection: collecting data from the sample's answers, andestimation: the estimation about the general population using statistical calculations.Learn more about survey at https://brainly.com/question/19637329.
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Plsssss Answer
16. A manufacturing company produces brushes and sells 500 for $300 to a
wholesaler. The wholesaler sells a quantity of 20 for $15 to a retailer who sells
each brush for $1.50. Calculate the percentage by which the price per brush
increases at each step.
17. You own 1,260 shares in Corporation X that are worth $40 per share. Your
cousin oº ers to trade you his 700 shares in Corporation Y that are worth $55 per
share and will add $10,000 in cash. Should you make the trade?
Answers
50 per share hope this helped
PLEASE HELP I HAVE A BIG PROJECT DUE TOMORROW AND I NEED HELP!!! YOU GET 15 POINTS FOR ANSWERING THIS!!!!
Answers
Answer:
AM sorry cant help
Step-by-step explanation:
A Scottish dance team used 140 yards of tartan to make
dancing skirts. The heights of the team members vary. The skirt
3
pattern for the shorter members uses 3- yards of fabric, and
4 3
the skirt pattern for the taller members uses 4 yards of fabric.
4
Let s represent the number of shorter skirts and t represent the
number of longer skirts. Which equation represents the
relationship between the number of short skirts and the number
of long skirts that were made?
A
C
3 3
3 +4
4 4
3
3
st=140
140
3 3
4 4
B s+t=3 +4
D
-t=140
Answers
The equation showing the relation between shorter and longer skirt is 3s+4t = 140.
Given that the Scottish dance team used 140 yards of tartan to make dancing skirts.
The skirt pattern for the shorter members is 3- yards of fabric, and the skirt pattern for the taller members is 4 yards of fabric.
So, we need to find the equation represents the relationship between the number of short skirts and the number of long skirts that were made,
So, if there are s short skirts and t long skirts,
So,
The relation will be =
3s + 4t = 140
Hence the equation showing the relation between shorter and longer skirt is 3s+4t = 140.
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2(x+3)=2x+6 how many solutions dose it have
Answers
Answer:
The right side of the equation is only a different way of writing the left side, so any value of x will solve this equation.
The equation − 2 ( x + 3 ) = − 2 x − 6 does not have any specific solutions for the simple reason that the left and rigth sides are two representations of the same equation.
We have − 2 ( x + 3 ) means that each term inside the parenthesis should be multiplied with − 2 , i.e.
− 2 ( x + 3 ) = − 2 ⋅ x − 2 ⋅ ( + 3 ) = − 2 x − 6
Which is exactly what the right side says.
Any value of x will, therefore, fulfill this equation.
DIFFICULT MATHS
red counters : green counters : blue counters = 3 : 4 : 5
15 red counters and some blue counters are added to the bag. The ratio after this is shown below.
red counters : green counters : blue counters = 7 : 6 : 8
Work out the total number of counters in the bag after the red and blue counters were added.
Answer should be 126 but I don’t understand why or how
Answers
The total number of counters in the bag after the red and blue counters were added is 365.
Let's assume the initial number of counters in the bag was 12x, where x is some positive integer. Then, based on the given ratio, we know that there were:
3x red counters
4x green counters
5x blue counters
After adding 15 red counters and some blue counters, the number of counters in the bag became:
(3x + 15) red counters
4x green counters
(5x + b) blue counters, where b is the number of blue counters added
According to the new ratio, we know that:
(3x + 15) red counters : 4x green counters : (5x + b) blue counters = 7 : 6 : 8
We can simplify this ratio by finding a common multiplier for each term. The smallest common multiplier for 4, 6, and 8 is 24, so we can multiply each term by a factor that makes it a multiple of 24:
(3x + 15) red counters : 4x green counters : (5x + b) blue counters = 7/3 * 24 : 6/4 * 24 : 8/5 * 24
(3x + 15) red counters : 6x green counters : (5x + b) blue counters = 56 : 36 : 38.4
We can simplify this ratio further by multiplying each term by 25 to get rid of the decimal in the blue counters term:
(3x + 15) red counters : 6x green counters : 25(5x + b) blue counters = 56 * 25 : 36 * 25 : 38.4 * 25
(3x + 15) red counters : 6x green counters : (125x + 25b) blue counters = 1400 : 900 : 960
Now we have a system of three equations:
3x + 15 = 1400/56 * a
6x = 900/36 * a
125x + 25b = 960/38.4 * a
where a is some positive integer. We can solve this system of equations by using substitution. From the second equation, we know that:
a = 36/900 * 6x = 6/25 * x
Substituting this into the first equation, we get:
3x + 15 = 1400/56 * 6/25 * x
3x + 15 = 60x/25
75x = 1875
x = 25
Therefore, the initial number of counters in the bag was 12x = 300. After adding 15 red counters and some blue counters, the total number of counters in the bag became:
(3x + 15) + 6x + (5x + b) = 14x + b + 15 = 14 * 25 + b + 15 = 365
So there were 365 counters in the bag after the red and blue counters were added.
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Anyone know this question?
Answers
The expression for the amount of change Zina should receive would then be 20 - (0.30 x 10) = 17.00. This means that Zina should receive 17.00 in change from the clerk.
What is amount?
Amount is the quantity or amount of something that is available, measurable, or given. It is a numerical value. Amount can refer to a quantity of money, goods, or services that is owed, requested, or given. It can also refer to the total cost of items or services. Amounts can be measured in both the physical and digital world. Amount is used in accounting, finance, and other fields to measure and keep track of assets and liabilities.
The expression that represents the amount of change Zina should receive is 20 - (0.30p). This expression takes the original amount of money given to the clerk, twenty dollars, and subtracts out the total cost of the bananas, which is 0.30p. The 'p' in this expression represents the number of pounds of bananas Zina purchased.
To determine the amount of change Zina should receive, the clerk must first calculate the total cost of the bananas. This is done by multiplying the number of pounds of bananas purchased by the cost per pound. Once the total cost of the bananas is calculated, it is then subtracted from the twenty dollars given. The resulting number is the amount of change Zina should receive.
For example, if Zina purchased 10 pounds of bananas at 30 cents per pound, the total cost of the bananas would be 10 x 0.30 = 3.00. The expression for the amount of change Zina should receive would then be 20 - (0.30 x 10) = 17.00. This means that Zina should receive 17.00 in change from the clerk.
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!!!BRAINY AND 10 PTS!!!
Answers
Answer:
Top left
Step-by-step explanation:
two angles that add up to 90 degrees are called ________ angles.
Answers
two angles that add up to 90 degrees are called complementary angles.
A rich aunt has promised you $2,000 one year from today. In addition, each year after that, she has promised you a payment (on the anniversary of the last payment) that is 7% larger than the last payment. She will continue to show this generosity for 20 years, giving a total of 20 payments. If the interest rate is 7%, what is her promise worth today? The present value is $. (Round to the nearest cent.)
Answers
If the interest rate is 7%, the present value of her promise today is $24,382.87.
The formula for the present value of an annuity is:PMT × (1 - 1/(1+r)n)/r
Where:PMT = periodic payment (the amount you'll receive each year)
R = interest rate (as a decimal)
n = number of payments (in this case, 20)
The payments are not equal, but each payment is 7% larger than the previous one.
So, we need to calculate the payment for year 1, and then calculate the payments for years 2 through 20 based on that.
The payment for year 1 is $2,000.
The payment for year 2 is 1.07 × $2,000 = $2,140.
The payment for year 3 is 1.07 × $2,140 = $2,299.80.
And so on.
We can simplify this by finding the total growth factor after 20 years:1.07^19 = 4.869
We multiply the payment for year 1 ($2,000) by this growth factor to get the payment for year 20:$2,000 × 4.869 = $9,738.71
Now we can use the formula for the present value of an annuity:
PMT × (1 - 1/(1+r)n)/r$2,000 × (1 - 1/(1+0.07)^20)/0.07 = $24,382.87 (rounded to the nearest cent)
Therefore, the present value of her promise today is $24,382.87.
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What are three different
whole numbers whose
sum AND product are equal?
A+B+C=D
AxBxC=D
Answers
Answer:
Answer: The whole numbers for which the products and sum are equal is 1, 2 and 3.
Step-by-step explanation:
Solution: To find the three whole numbers in such a way that their product and sum should be equal. Assume that the three numbers are x, y and z.
The mass of an uranium atom is
3.95
×
1
0
−
22
3.95×10
−22
grams. The mass of an oxygen molecule is
5.31
×
1
0
−
23
5.31×10
−23
grams. How many times greater is the mass of an uranium atom than the mass of an oxygen molecule? Write your answer in standard notation, rounding to the nearest tenth.
Answers
For the given mass of uranium molecule and oxygen molecule, we can conclude that mass of an uranium atom is 7.44 times greater than mass of an oxygen molecule.
The mass of an uranium atom is = 3.95×10⁻²² grams and
The mass of an "oxygen-molecule" is = 5.31×10⁻²³ grams,
To find how many times greater the mass of an uranium atom is than the mass of an oxygen molecule, we divide the mass of the uranium atom by the mass of the oxygen molecule:
On dividing,
We get,
⇒ (3.95×10⁻²²) / (5.31×10⁻²³) ≈ 7.44
Therefore, mass of uranium-atom is 7.44 times than mass of an oxygen-molecule.
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The given question is incomplete, the complete question is
The mass of an uranium atom is 3.95×10⁻²² grams. The mass of an oxygen molecule is 5.31×10⁻²³ grams. How many times greater is the mass of an uranium atom than the mass of an oxygen molecule? Write your answer in standard notation, rounding to the nearest tenth.
A motorboat travels 210 kilometers in 6 hours going upstream. It travels 366 kilometers going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current
Answers
The rate of the boat in still water is 48 km/h, and the rate of the current is 13 km/h.
Let's denote the rate of the boat in still water as "b" and the rate of the current as "c".
When the boat is traveling upstream, its effective speed is reduced by the speed of the current, so the boat's speed is (b - c). The distance traveled upstream is 210 kilometers, and the time taken is 6 hours. Therefore, we can set up the equation:
210 = (b - c) * 6
Similarly, when the boat is traveling downstream, its effective speed is increased by the speed of the current, so the boat's speed is (b + c). The distance traveled downstream is 366 kilometers, and the time taken is 6 hours. We can set up the equation:366 = (b + c) * 6
We now have a system of two equations with two unknowns. We can solve this system of equations to find the values of "b" and "c".
From the first equation, we can rewrite it as:
(b - c) = 210/6
b - c = 35 ... (Equation 1)
From the second equation, we can rewrite it as:
(b + c) = 366/6
b + c = 61 ... (Equation 2)
Now we can solve the system of equations by adding Equation 1 and Equation 2:
(b - c) + (b + c) = 35 + 61
2b = 96
b = 48
Substituting the value of "b" back into Equation 1, we can solve for "c":
48 - c = 35
c = 13
Therefore, the rate of the boat in still water is 48 km/h, and the rate of the current is 13 km/h.
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Jean drove 66 miles per hour for a total of 396 miles on a trip. She used the equation below to calculate the time, t, it would take her to complete the trip. What is the constant of proportionality in the equation?
396 = 66t
A. t
B. 396
C. 66
D. 6
Answers
The equation given is:
396 = 66t
This equation relates the distance traveled (396 miles) to the rate of travel (66 miles per hour) and the time it takes to travel that distance (t hours).
We can rearrange this equation to solve for the constant of proportionality, which is the rate of travel:
66t = 396
Dividing both sides by 66, we get:
t = 6
Therefore, the constant of proportionality in the equation is 66. The correct answer is C.
A={(-1,2) (-2,3) ( -3, 5) (-3, -5) (4,10)}
Is this set of the ordered pair of the coordinate a function or not Explain the reason for your answer.
Answers
click the photo and help me please
Answers
Answer:
5^10
Step-by-step explanation:
Hope I helped!
The figure shows two similar prisms, if the volume of Prism I is 30 cm³, find the volume of Prism 2. (3 marks) Prism 2 Prism I 1:07 12 cm 6 cm
Answers
The volume of Prism 2 is 360 cm³ by using the ratio of corresponding side length of two similar prism.
Given that Prism I has a volume of 30 cm³ and the two prisms are similar, we need to find the volume of Prism 2.
We can use the ratio of the corresponding side lengths to find the volume ratio of the two prisms.
Here’s how:Volume of a prism = Base area × Height Since the two prisms are similar, the ratio of the corresponding sides is the same.
That is,Prism 2 height ÷ Prism I height = Prism 2 base length ÷ Prism I base length From the figure, we can see that Prism I has a height of 6 cm and a base length of 12 cm.
We can use these values to find the height and base length of Prism 2.
The ratio of the side lengths is:
Prism 2 height ÷ 6 = Prism 2 base length ÷ 12
Cross-multiplying gives:
Prism 2 height = 2 × 6
Prism 2 height= 12 cm
Prism 2 base length = 2 × 12
Prism 2 base length= 24 cm
Now that we have the corresponding side lengths, we can find the volume ratio of the two prisms:
Prism 2 volume ÷ Prism I volume = (Prism 2 base area × Prism 2 height) ÷ (Prism I base area × Prism I height) Prism I volume is given as 30 cm³.
Prism I base area = 12 × 12
= 144 cm²
Prism 2 base area = 24 × 24
= 576 cm² Plugging these values into the above equation gives:
Prism 2 volume ÷ 30 = (576 × 12) ÷ (144 × 6)
Prism 2 volume ÷ 30 = 12
Prism 2 volume = 12 × 30
Prism 2 volume = 360 cm³.
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PLEASE HELP ME ASAP I REALLY NEED HELP!, THANK YOU
The volume of the cone is exactly ___ cubic centimeters.
Answers
Answer:
3141.59 cm cubed
Step-by-step explanation:
The formula for volume of a cone is:
V=πr²h /3
When you plug in your numbers, you'll get your answer!
--------------------------------------------------------------------------------------------------------
Have a good day :)
Answer:
1000π cm³
Step-by-step explanation:
v = ⅓×π×10²×30
= 1000π cm³
or 3,140 cm³
cual es el resultado de esta ecuacion 8x+9=25
Answers
Answer:
x=2
Step-by-step explanation:
Hope I helped and I hope you get it correct
What is a situation in which you might locate points on a coordinating grid?
Answers
In various mathematical, locating points on a coordinate grid is necessary in geometry, data analysis, or navigation, coordinating grids provide a visual representation of relationships between different points or objects.
In geometry, coordinate grids are commonly used to plot and analyze geometric shapes. For example, when studying polygons or circles, the coordinates of their vertices or centers can be plotted on a grid to determine properties such as length, area, or symmetry. Additionally, coordinate grids are essential in graphing equations and functions, enabling the visualization of mathematical relationships between variables.
In real-life applications, coordinating grids are widely used in navigation systems. Global positioning systems (GPS) rely on coordinate grids to pinpoint locations on Earth's surface accurately. By using longitude and latitude coordinates, GPS devices and mapping software allow users to determine their precise location and find directions to desired destinations. Furthermore, coordinate grids are utilized in cartography to create maps, allowing cartographers to accurately represent geographic features and facilitate navigation for individuals or vehicles.
In summary, the act of locating points on a coordinate grid finds application in various mathematical contexts such as geometry and graphing equations, as well as in real-life scenarios like navigation systems and cartography. These grids enable the analysis, measurement, and visualization of relationships between points or objects, contributing to a better understanding of geometric shapes, mathematical functions, and spatial locations.
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Check that Han's answer is correct by calculating the product of 2. 43 and 13
Answers
The product of 2.43 and 13, which is the result of the multiplication operation, is 31.59.
What is the product of numbers?The product of two or more numbers is the result of the multiplication operation performed on the numbers.
Multiplication operation is one of the four basic mathematical operations, including addition, subtraction, and division.
The multiplication operation involves the multiplicand, the multiplier, the multiplication operand (x), the equal symbol (=), and the result, known as the product.
2.43 x 13 = 31.59
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Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used.
Simplify the given polynomials. Then, classify each by its degree and number of terms.
Polynomial 1: (3z 4)(4s + 8)
Polynomial 2: (5g2 + 7g)• }(10z2 - 4)
Polynomial 3: 3(8g2 + 4r - 2) 6(-4:2 - 23 + 3)
Polynomial
Simplified Form
Name by
Name by
Degree
Number of Terms
Polynomial *
trinomial
Polynomial 2
linear
Polynomial 3
12
12x + 20 monomial 7x + 2 constant binomial
12x2 + 233 - 2
3-2 + 4r - 2
quadratic
Answers
Polynomial 1 is a trinomial after simplification, as it has three terms. Its degree is 2 since the highest power of its variables (s and z) is 2.
Polynomial 2 is a linear polynomial with only one term and degree 1 since the highest power of the variable (g) is 1. Polynomial 3 is also a linear polynomial with only one term and degree 1 since the highest power of the variables (g and r) is 1.
In summary, we are asked to simplify three polynomials and classify them based on their degree and number of terms. Polynomial 1 is a trinomial with a degree of 2. Polynomial 2 and 3 are both linear polynomials with a degree of 1.
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let do be the nondeterministic loop do x ≠ 0 ➞ x := x-1; y := y 1 ☐ x ≠ 0 ➞ x := x-1; y := y 2 od
Answers
Thus, the output of the loop is non-deterministic.
Let us consider the loop and the conditions given:
While the condition `x ≠ 0` holds, the loop will continue.
Within the loop, there are two possible paths: `y:=y1` or `y:=y2`.
Since the path to take is non-deterministic, there are two possible outputs:
Either y will be assigned a value of y1 or y2.
Here, it is impossible to determine which assignment will be executed; there is no way to know if x will be decremented once or twice.
This demonstrates that the behavior is non-deterministic, and the possible outputs are `[y1,y2]`.
Thus, the output of the loop is non-deterministic.
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