The sampling distribution of p hat follows a normal distribution thus, the value of Mu Subscript p hat = p = 0.12. Option 1 is the correct answer.
What is normal distribution?A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.
The most typical form of distribution assumed in technical stock market analysis and other statistical investigations is the normal distribution. The mean and the standard deviation are the two variables that make up the standard normal distribution.
The sampling distribution of p hat follows a normal distribution thus,
Mu Subscript p hat = p
Here, the value of p = 0.12
Hence, the value of Mu Subscript p hat = p = 0.12. Option 1 is the correct answer.
Learn more about normal distribution here:
https://brainly.com/question/29509087
#SPJ1
Answer:
A. Mu Subscript p hat = p = 0.12
Step-by-step explanation:
On a coordinate plane, how are the locations of the points (2 , -1) and (2 , 1) related?
On a coordinate plane, locations of the points (2 , -1) and (2 , 1) related by reflection across the x-axis.
It is given that the locations of the two points are (2 , -1) and (2 , 1).
We have to find the relation between two points.
From the given points (2 , -1) and (2 , 1), it is clear that the y-coordinates are same but the sign of x-coordinates are opposite.
If a figure is reflected across the y-axis, then we change the sign of y-coordinate and the x-coordinates remain same,
So, it is reflection across the x-axis.
To know more about axis
https://brainly.com/question/12632774
#SPJ4
Which equations are true for the values of x, y, and z? Select three options.
2 lines intersect to form 4 angles. Clockwise, from top, the angles are: 65 degrees, x, y, z.
Answer:
Step-by-step explanation:
Based on the information provided, the following three equations are true for the values of x, y, and z:
x + y + z = 360 degrees (Since the sum of the angles in a quadrilateral must equal 360 degrees)
x = 65 degrees (As given, the first angle is 65 degrees)
y + z = 295 degrees (From equation 1, 360 - 65 = 295)
So, the values of x, y, and z can be calculated as 65 degrees, 115 degrees, and 180 degrees respectively.
The formula for the area of any triangle is a equals 1/2. The carpenter is actually using the following expression to represent the area of a triangle eight A= (1/2) (B)(B +5) which statement best matches the carpenters triangle
Answer:
The statement "A = (1/2) (B)(B + 5)" represents the area of a triangle, where B is the base of the triangle and (B + 5) is the height. This formula is used by the carpenter to calculate the area of a triangle with a given base and height.
Step-by-step explanation:
2. Matt measures the angle of elevation of the peak of a mountain as 35º. Susie, who is 1200
feet closer on a straight level path, measures the angle of elevation as 42º. How high is the
mountain?
The height of the mountain using the angle of elevation is 3858.85 units.
What are trigonometric functions?The three basic categories of trigonometric functions are sine, cosine, and tangent. And from the basic functions, one can deduce the three cotangent, secant, and cosecant functions. In contrast to the fundamental trigonometric functions, the other three functions are essentially employed more frequently.
Let the distance between the mountain and Matt = x.
Then the distance of Susie will be:
S = x - 1200
Matt measure the angle of elevation as 35 degrees.
Using the trigonometric function we have:
tan (35) = h / x
x = h/ 0.7.......(1)
For Susie:
tan(42) = h / x - 1200
0.9(x - 1200) = h
0.9x - 1080.48 = h .........(2)
Substitute the value of x in equation 2:
0.9 ( h/ 0.7) - 1080.48 = h
1.28h - 1080.48 = h
1.28h - h = 1080.48
0.28h = 1080.48
h = 3858.85
Hence, the height of the mountain using the angle of elevation is 3858.85 units.
Learn more about trigonometric functions here:
https://brainly.com/question/6904750
#SPJ1
8. If a || b, m/2 = 63°, and m29 = 105°, find the measure of each angle please!! help neeeded need angles A through L pls answer correctly
The measure of each angle is given below:
a. m<1 = 105° - 63° m<1 = 42°b. m<3 + m<2 + m<1 = 180° m<3 = 75°c. m<4 = m<1 m<4 = 42°d. m<5 = m<2 m<5 = 63°e. m<6 = m<3 m<6 = 75°What is an Angle?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively.
Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
The measure of angles {contd.} is:
f. m<7 = m<9 m<7 = 105°g. m<8 = m<6 m<8 = 75°h. m<10 = m<8 m<8 = 75°i. m<11 = m<4 m<11 = 42°j. m<12 = 180° - m<11 m<12 = 138°k. m<13 = m<11 m<13 = 42°l. m<14 = m<12 m<14 = 138°Read more about angles here:
https://brainly.com/question/25716982
#SPJ1
HELP QUICKLY
what is x
2.5/x = 10/12
PLS HELP ASAP
Answer:
x = 3
Step-by-step explanation:
2.5/x = 10/12
Multiply both sides by x
2.5 = 10/12x
Divide both sides by 10/12
3 = x
in a sample of 20 men, the mean height was 178 cm. in a sample of 30 women, the mean height was 164 cm. what was the mean height for b oth groups put together?
In a sample of 20 men, the mean height was 178 cm and a sample of 30 women, the mean height was 164 cm, then the mean height for both groups combined is approximately 172.4 cm.
To find the mean height for both groups combined, we need to calculate the weighted average of the means of each group, where the weight of each group is proportional to its sample size.
We can begin by finding the total height of all the individuals in both groups combined. The total height for the men's group would be 20 multiplied by the mean height of 178 cm, which is 3560 cm.
Similarly, the total height for the women's group would be 30 multiplied by the mean height of 164 cm, which is 4920 cm. Adding these two values gives a total height of 8480 cm for both groups combined.
Next, we need to find the total sample size, which is the sum of the sample sizes of the two groups. The total sample size is 20 + 30 = 50.
Finally, we can calculate the weighted average of the means of each group using the formula:
Weighted average = (weight of group 1 * mean of group 1 + weight of group 2 * mean of group 2) / (weight of group 1 + weight of group 2)
In this case, the weights of each group are proportional to their sample sizes. Therefore, the weighted average can be calculated as:
Weighted average = (20/50 * 178 cm) + (30/50 * 164 cm) = 172.4 cm
In summary, to find the mean height for both groups combined, we need to calculate the weighted average of the means of each group, where the weight of each group is proportional to its sample size. This is done by multiplying the sample size of each group by its mean height, adding the values, and then dividing by the total sample size.
To learn more about mean click on,
https://brainly.com/question/3699952
#SPJ4
3-83. Challenge Problem! Find the dimensions of the generic rectangle below. Then write an equivalency
statement (length width = area) of the area as a product and as a sum.
x²
3x
-5x
-15
The dimensions are 5 units each
The area of the rectangle is 25 units
How to determine the dimensions
It is important to note that algebraic expressions are defined as expressions that are composed of variables, terms, cofficients, constants and factors.
They are also described as expressions with mathematical operations.
From the information given, we have that;
x² - 5x + 3x - 15
To solve the quadratic equation, let us use the factorization method
Group the values in pairs
(x² - 5x) + (3x - 15)
factor the terms
x(x -5) +3(x - 5)
Then, x + 3 = 0
x = -3
And x - 5 = 0
x =5
But area of a rectangle is;
= Length× width
= 5 × 5
= 25 square units
Learn about area at: https://brainly.com/question/25292087
#SPJ1
Which graph represents a linear function
Answer:
Any line except a vertical line represents a linear function.
Step-by-step explanation:
Any "diagonal" line is a linear function. Even a horizontal line represents a linear function. Only a vertical line does NOT represent a linear function.
1004.8 into 3 significant figures
Rounding off the 1004.8 into 3 significant figures will give 1000.
Significant Figures:Since significant figures are established as digits, they are also known as significant digits. By counting all of the values beginning with the first non-zero digit on the left, it is possible to determine the number of significant digits.
For example, the number of significant figures in 567 is 3.
The number of significant figures in 2.671 is 4.
Here we have a number
1004.8 need to be rounded off for 3 significant figures
Since 4 is less than 5 then the resultant number = 1000
[ 4 and 8 neglected since 4 < 5]
Therefore,
Rounding off the 1004.8 into 3 significant figures will give 1000.
Learn more about Significant Figures at
https://brainly.com/question/29153641
#SPJ1
HELP ME!
A passenger train leaves a train depot 2 h after a freight train leaves the same depot. The freight train is traveling 28 mph slower than the passenger train. Find the rate of each train if the passenger train overtakes the freight train in 3 h.
A. Passenger train ___ mph
B. freight train ___ mph
Answer: A. Passenger train: 52 mph B. Freight train: 24 mph
Step-by-step explanation:
ABCD is a kite with AB = BC and AD = DC = AC, the size of
The size of angle BCA is 45 degrees
How to determine the size of angle BCAFrom the question, we have the following parameters that can be used in our computation:
AB = BC and AD = DC = AC
Also, we have
ABC = 90 degrees
Considering the triangle ABC, we have
A + B + C = 180
This is so because the sum of angles in a triangle is 180 degrees
Using the above as a guide, we have the following:
A + 90 + C = 180
So, we have
A + C = 90
Given that
AB = BC
We have
2C = 90
C = 45
Hence, the angle is 45 degrees
Read more about angles at
https://brainly.com/question/25716982
#SPJ1
Complete question
ABCD is a kite with AB = BC and AD = DC = AC, What is the size of angle BCA
Please help with triangles
The value of x is given as follows:
x = 131º.
How to obtain the value of x?An interior angle is supplementary with it's exterior angle, meaning that the sum of their measures is of 180º.
Considering the above text, the measure of the top angle of the bottom triangle is given as follows:
a = 180 - 98
a = 82.
The base angles of the bottom triangle have the same measure, as the triangle is isosceles, hence:
2b + 82 = 180
2b = 98
b = 49.
(the sum of the measures of the internal angles of a triangle is of 180º).
Considering the vertical angles, the base angles of the top triangle are given as follows:
b = 49.
Hence the value of x is given as follows:
x = 180 - 49
x = 131º.
(as the top triangle is also isosceles, and the angle measure x is the exterior angle of an interior angle with measure of 49º).
More can be learned about angle measures at https://brainly.com/question/24607467
#SPJ1
What are the answers for this
1.
f(x) = x² - 8x + 17
The roots of the quadratic equation are -
{x} = 4 ± i(√2/2)
What is the general form of a quadratic equation?The general form of a quadratic equation is -
y = f(x) = ax² + bx + c
Given is the quadratic equation as -
f(x) = x² - 8x + 17
We can write the roots of the equation as -
x = {- b ± √(b² - 4ac)}/2a
x = {8 ± √(64 - 68)}/2
x = {8 ± i√2}/2
x = 4 ± i(√2/2)
Therefore, the roots of the quadratic equation are -
{x} = 4 ± i(√2/2).
To solve more questions on quadratic equations, visit the link below
https://brainly.com/question/30098550
#SPJ9
What information does the source supply?
The information provided by a source in a graph is C. Who put the data together.
How does a source contribute to a graph ?The information provided by a source in a graph can include various aspects such as the data being displayed, the method used to collect the data, and who put the data together (also known as the data source).
The data source is important because it provides context and credibility to the data being presented. It helps to understand the reliability and accuracy of the data, as well as any potential biases that may be present. In this case, the source is the Human Resources Department.
Find out more on source at https://brainly.com/question/30456376
#SPJ1
the town's population has increased for 80,000 to 90,000 in the past 10 years. what was the present increase.
The percentage increase in the population of the town is 12%.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Increase in population = 90,000 - 80,000 = 10,000
Percentage increase = 10,000/80,000 * 100 = 100/8 = 12.5%
Hence the percentage increase in the population of the town is 12%.
Learn more about a linear equation.
brainly.com/question/29739212
#SPJ1
a student committee has 6 membersâ4 undergraduate and 2 graduate students. a subcommittee of 3 members is to be chosen randomly so that each possible combination of 3 of the 6 students is equally likely to be selected. what is the probability that there will be no graduate students on the subcommittee?
The probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.
The number of possible subcommittees that contain only undergraduate students can be calculated by choosing 3 members from the 4 undergraduate students. This can be done in (4 choose 3) = 4 ways.
The total number of possible subcommittees of three students that can be formed from the 6 members of the committee can be calculated by choosing 3 members from the 6 students. This can be done in (6 choose 3) = 20 ways.
Therefore, the probability that there will be no graduate students on the subcommittee is:
Number of subcommittees with only undergraduate students / Total number of possible subcommittees
= 4 / 20
= 1/5
= 0.2
So, the probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.
To know more about probability
https://brainly.com/question/30625528
#SPJ4
ted has a part time job, he is paid £7.90 per hour,
last week he worked for 15 1/2 hours
what is ted total pay for last week
Answer: £122.45
Step-by-step explanation: 7.90*15.5
Answer: 109?
Step-by-step explanation:
Simplify (6x-15)/(4x^2-25)
How do you do this problem? can you show me how to do it? I am struggling on this
The values and graph of the equation 3x - 2y = 6 is attached below while the slope is 3/2
What is equation of lineThe equation of a straight line can be represented in various forms. One of the most commonly used forms is the point-slope form, which is represented as:
y - y1 = m (x - x1)
where (x1, y1) is a point on the line, and m is the slope of the line, which is the rate of change of y with respect to x.
Another common form of the equation of a line is the slope-intercept form, which is represented as:
y = mx + b
where m is the slope of the line, and b is the y-intercept, which is the point where the line crosses the y-axis.
In this problem, we need to write the table of values and the find the slope of the line.
3x - 2y = 6
rewriting this equation;
2y = 3x - 6
y = 3x/2 - 3
when y = 0
0 = 3x/2 - 3
3x/2 = 3
3x = 2 * 3
3x = 6
x = 2
when x = 0
y = 3(0)/2 - 3
y = 0 - 3
y = -3
The slope of the line can be calculated using the two points from above.
slope (m) = y₂ - y₁ / x₂ - x₁
m = -3 - 0 / 0 - 2
m = 3/2
The slope is 3/2
The graph of the equation is attached below
Learn more on equation of line here;
https://brainly.com/question/18831322
#SPJ1
Bonus: (up to 5 points) The answer to the clues on the left goes on the first line. When you rearrange the
letters of this answer, you will reveal the word that is the answer to the clue on the right
What we do at night for 7-8 hours
Piece of lumber
Where you buy pastrami, etc/sandwiches (plural)delic slide
Christmas decoration
A direction
north
Sleep
OFFIC
thern
Part of bananas
Wide
A piece of playground equipment
Part of a rose
Answer:
sleep-peels:board-broad:delis-slide:tinsel-silent:north-thorn
Step-by-step explanation:
Those are the corresponding words
The price of a gallon of unleaded gas was $2.81 yesterday. Today, the price rose to $2.88. Find the percentage increase. Round your answer to the nearest tenth of a percent.
The percentage increase of the gas would be 2.5%.
How to calculate a percentage increase?We can calculate the value of the percentage increase by the following formula,
percentage increase = (final value - initial value) / initial value × 100%
As per the given question, we have
initial value = $2.81 , and final value = $2.88
Substitute the values in the above formula, and we get
percentage increase= (2.88 - 2.81 ) / 2.81 × 100%
percentage increase = (0.07) / 2.81× 100%
percentage increase = 0.0249 × 100%
Apply the multiplication operation, and we get
percentage increase = 2.49%
Thus, the percentage increase of an item would be 2.5%.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ1
please help ASAP !!!!
First, use the equation for a hemisphere. Since a sphere's equation is [tex]\frac{4}{3}\pi r^{3}[/tex], and a hemisphere is half a sphere, we can use the equation [tex]\frac{2}{3}\pi r^{3}[/tex]. We know the radius is 6 inches, and we can approximate pi as 3.14, so now let's plug in our values:
[tex]\frac{2}{3}\ (3.14) 6^{3}=\frac{2}{3} \ (3.14)(216)= \frac{2}{3}(678.16)= 452.16[/tex]
The volume of the hemisphere is about [tex]452.16 in^{3}[/tex].
The formula for the volume of a cone is [tex]\pi r^{2}\frac{h}{3}[/tex]. Again, let's plug in our values:
[tex](3.14)(36)\frac{6}{3} =(3.14)(36)(2)=(3.14)(72)=226.08[/tex]
The volume of the cone is about [tex]226.08 in^{3}[/tex].
Subtract 226.08 from 452.16 and you get 226.08.
The volume of the remaining solid will be [tex]226.08 in^{3}[/tex].
Unit 4: congruent triangles
Homework 7: Proofs review.
please help, i don’t know the answers to 1 or 4.
Answer:
1. SAS
2. Not congruent
Step-by-step explanation:
1. These two triangles have a pair of congruent sides with a congruent angle between them. Therefore, they are congruent by SAS.
If you rotate the first triangle, you'll see that it is the same as the second.
4. These two triangles have a pair of congruent angles. We can also show that the third angles are also congruent. However, we don't have any congruent sides. Therefore, these triangles are similar, but not necessary congruent.
The solution is,
1. SAS
2. AAS
3. SAS
4. Not congruent.
What is congruent triangle?Two triangles are congruent if all three pairs of corresponding sides are equal. Two pairs of corresponding sides and the corresponding angles between them are equal.
here, we have,
we know that,
To identify which triangles are congruent measure the angles and sides of each of the triangles and compare them.
Meaning of congruent:
In mathematics, the word congruent is used if two figures have the same size and shape, although their orientation can be different.
Two triangles are congruent:
In the case of triangles two factors should be considered:
1) Lengths of each side are equal.
2) Angles are equal.
This means that to determine if the triangles are congruent, we must measure each side and angle and make sure these are the same in each triangle.
now, we have,
1. These two triangles have a pair of congruent sides with a congruent angle between them. Therefore, they are congruent by SAS.
If you rotate the first triangle, you'll see that it is the same as the second and, similar for 2 & 3 by AAS & SAS.
4. These two triangles have a pair of congruent angles. We can also show that the third angles are also congruent. However, we don't have any congruent sides. Therefore, these triangles are similar, but not necessary congruent.
Hence, 1. SAS
2. AAS
3. SAS
4. Not congruent.
To learn more about the triangles visit:
brainly.com/question/25813512
#SPJ2
Tanya is renting a bounce house for a birthday party. The graph shows the time in hours (x)
compared to the total cost in dollars (y). Determine rate and initial value to write a linear equation.
=mx+b): _____
Find the rate (M). Find the initial value (B).
Equation (y=mx+b).
the equation of the straight line will be y = 10x+10.
What is equation straight line?
Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.
The initial value 10
slope m = 30-20/2-1
m = 10/1=10
So the equation of the straight line will be y = 10x+10.
Learn more about the straight line, by the following link
https://brainly.com/question/16949303
#SPJ1
The stock price of Company A decreased by $1.27 every day for 4
days. The fifth day, the stock price increased by $3.47. What was
the total change in the stock's price over 5 days?
Answer:
Step-by-step explanation:
The stock price of Company A decreased by $1.27 for 4 days, so the total decrease in the stock's price would be $1.27 * 4 = $5.08.
On the fifth day, the stock price increased by $3.47, so the total change in the stock's price over 5 days would be $3.47 - $5.08 = -$1.61.
So the total change in the stock's price over 5 days was a decrease of $1.61.
An office is planning to divide a common area into a social area and a quiet area. The quiet area takes up one-third of the space. The architect draws this plan at a scale of 1 ft.: 4 cm. What is the area of the social area on the plan?
Answer:
Let's call the total area of the common space "A". Since the quiet area takes up one-third of the space, its area is A/3.
The scale of the plan is 1 ft.: 4 cm, which means that one foot on the plan represents 4 cm in real life. So, the area of the social area on the plan is 4 times smaller than the actual area of the social space.
Therefore, the actual area of the social space is (A - A/3) = 2A/3. And the area of the social area on the plan is (2A/3) / 4.
Area of the social area on the plan is (2A/3) / 4.
Here,
Let the total area of the common space "A".
Since the quiet area takes up one-third of the space, its area is A/3.
The scale of the plan is 1 ft.: 4 cm
So,
One foot on the plan represents 4 cm in real life.
So, the area of the social area on the plan is 4 times smaller than the actual area of the social space.
Therefore, the actual area of the social space is (A - A/3) = 2A/3.
Thus the area of the social area on the plan is (2A/3) / 4.
Know more about area,
https://brainly.com/question/16151549
#SPJ2
Pls solve 3,4,5!!! Tyyy (I will mark brainliest!)
Answer:
Step-by-step explanation:
4 = d
5=1/5
3 the first one is 4x1/12 and 2x3/12
2[73-(4x5)]
I think the answer is 106 but can someone double check? Thanks
Answer:
yes its 106
Step-by-step explanation:
brainly removed my answer
