|z| = 0.669 < 1.96, we fail to reject the null hypothesis at any significance level up to α = 0.05.
In other words, we do not have enough evidence to conclude that the true proportion of executives who would agree with the statement is different from one-half.
The null hypothesis that the true proportion of all such executives.
Agree with this statement is one-half, we can use a two-sample z-test for proportions.
Let p be the true proportion of executives who would agree with the statement and let. [tex]\^p[/tex] be the sample proportion.
Under the null hypothesis, the test statistic z is given by:
[tex]z = (\^p - 0.5) / \sqrt(0.5 \times 0.5 / n),[/tex]
n is the sample size (104 in this case).
This test statistic follows a standard normal distribution under the null hypothesis.
To reject the null hypothesis at a significance level α, we need to find the critical values.[tex]z\alpha/2[/tex] and [tex]-z\alpha/2[/tex] such that [tex]P(Z > z\alpha/2) = \alpha/2[/tex] and[tex]P(Z < -z\alpha/2) = \alpha/2[/tex], where Z is a standard normal random variable.
The lowest level of significance at which the null hypothesis can be rejected against a two-sided alternative.
The smallest α such that [tex]|z| > z\alpha/2.[/tex]
The two-sided alternative implies that we are interested in deviations from the null value of 0.5 in either direction.
Using the given information, we have:
[tex]\^p = 50/104 = 0.4808,[/tex]
n = 104.
Substituting these values into the formula for z, we get:
[tex]z = (0.4808 - 0.5) / \sqrt(0.5 \times 0.5 / 104) = -0.669.[/tex]
The critical value [tex]z\alpha/2[/tex], we look up the corresponding value in the standard normal distribution table.
[tex]z\alpha/2[/tex] such that [tex]P(Z > z\alpha/2) = \alpha/2[/tex], or equivalently, [tex]P(Z < -z\alpha/2) = \alpha/2[/tex]. Since the standard normal distribution is symmetric, we can look up the value of zα/2 that satisfies. [tex]P(Z > z\alpha/2) = \alpha/2[/tex], and then take its absolute value to find. [tex]-z\alpha/2.[/tex]
Using a standard normal distribution table, we find that z0.025 = 1.96 (rounded to two decimal places).
The critical values for rejecting the null hypothesis at a significance level α are:
[tex]z\alpha/2[/tex] = ±1.96.
For similar questions on significance
https://brainly.com/question/31366559
#SPJ11
120 pupils took an examination 60% passed Dagare, 80% passed fante and 20 passed both fante and Dagare (I) Draw a venn diagram for the data (ii) How many students passed only one subject
Please I need an answer to this question immediately.
Therefore, all 120 students passed at least one subject from the the Venn diagram.
Venn diagram explained.
Let's start by drawing a Venn diagram.
D
o-----o
/ \ / \
/ \ / \
o-----o-----o
F 20
Where D represents the set of students who passed Dagare, F represents the set of students who passed Fante, and the overlap between D and F represents the set of students who passed both.
To find the number of students who passed only one subject, we need to subtract the number of students who passed both subjects from the total number of students who passed each subject individually.
Number of students who passed only Dagare: 60% - 20% = 40%
Number of students who passed only Fante: 80% - 20% = 60%
So the number of students who passed only one subject is:
0.4 x 120 + 0.6 x 120 = 48 + 72 = 120
Therefore, all 120 students passed at least one subject.
Learn more about Venn diagram below.
https://brainly.com/question/2099071
#SPJ1
Vertical lines intersect in the middle to create two similar triangles. The first triangle angle is labeled 4x. The second triangles angles are labeled (5+x) and 20.
`m∠ABC=(4x)˚`
`m∠BED=(5+x)˚`
`m∠BDF=160˚`
Find the value of X and the length of the sides.
Ther is a picture down there v But im not sure if you can see it. You needn't even complete the equation, I just need help with it.
The value of x and order the length of the sides are x = 31 and BD < EB < DE
Finding the value of x and order the length of the sides.From the question, we have the following parameters that can be used in our computation:
m∠ABC=(4x)˚
m∠BED=(5+x)˚
m∠BDF=160
As a general rule, the sum of angles in a triangle is 180
Using the above as a guide, we have the following:
4x + 5 + x + 180 - 160 = 180
Evaluate the like terms
5x = 155
Divide by 5
x = 31
The angle opposite the longest side is the greatest angle, and vice versa
So, we have the following order
Smallest = BD
Next = EB
Longest = DE
Read more about angles at
https://brainly.com/question/25716982
#SPJ1
Answer:
Step-by-step explanation:
The value of x and order the length of the sides are x = 31 and BD < EB < DE
Finding the value of x and order the length of the sides.
From the question, we have the following parameters that can be used in our computation:
m∠ABC=(4x)˚
m∠BED=(5+x)˚
m∠BDF=160
As a general rule, the sum of angles in a triangle is 180
Using the above as a guide, we have the following:
4x + 5 + x + 180 - 160 = 180
Evaluate the like terms
5x = 155
Divide by 5
x = 31
The angle opposite the longest side is the greatest angle, and vice versa
So, we have the following order
Smallest = BD
Next = EB
Longest = DE
Find the distance of D of AB
A=(-7,-7) B= (-3,-1)
The distance between the points A=(-7,-7) and B=(-3,-1) is 7.21 units.
Finding the distance of D of ABWe can use the distance formula to find the distance between points A=(-7,-7) and B=(-3,-1) on the coordinate plane.
The distance formula is:
d = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Substituting the values we have, we get:
d = √((-3 - (-7))^2 + (-1 - (-7))^2)
= √((4)^2 + (6)^2)
= √(16 + 36)
= √(52)
≈ 7.21
Therefore, the distance between points A=(-7,-7) and B=(-3,-1) is approximately 7.21 units.
Read more about distance at
https://brainly.com/question/28551043
#SPJ1
if you flip a fair coin 10 times, what is the probability of obtaining as many heads as you did or less? 0.0107 0.9453 0.0321 0.7769
To calculate this probability, we need to use the cumulative binomial probability formula:
P(X ≤ k) = Σ(i=0 to k) (n choose i) p^i (1-p)^(n-i)
Where:
- X is the number of heads obtained
- k is the number of heads we want to calculate the probability for (in this case, the same number of heads obtained)
- n is the total number of coin flips (10 in this case)
- p is the probability of getting heads on a single flip (0.5 for a fair coin)
- (n choose i) is the binomial coefficient, which represents the number of ways to choose i heads out of n flips
For this problem, we want to calculate P(X ≤ 10), since we're interested in the probability of obtaining as many heads as we did or less. Plugging in the values, we get:
P(X ≤ 10) = Σ(i=0 to 10) (10 choose i) 0.5^i 0.5^(10-i)
= (10 choose 0) 0.5^0 0.5^10 + (10 choose 1) 0.5^1 0.5^9 + ... + (10 choose 10) 0.5^10 0.5^0
= 0.00098 + 0.00977 + 0.04395 + 0.11719 + 0.20508 + 0.24609 + 0.20508 + 0.11719 + 0.04395 + 0.00977 + 0.00098
= 0.9453
Therefore, the probability of obtaining as many heads as we did or less when flipping a fair coin 10 times is 0.9453.
Learn more about probability:
https://brainly.com/question/24756209
#SPJ11
solve -3(x-3)≤ 5(1-x)
5(2x - 1) + 3(x - 3) = -(4x - 6) + 2(13 - 3x)
Answer:
The value of x is 2.
Step-by-step explanation:
5(2x -1) + 3(x -3) = -(4x - 6) + 2(13 -3x)
Expand both sides of the equation to remove parenthesis
10x - 5 + 3x - 9 = -4x + 6 + 26 - 6x
Transpose all terms with x as the coefficient on the left side of the equation and transpose the constants to the right.
10x + 3x + 4x + 6x = 6 + 26 + 5 + 9
Simplify
23x = 46
Divide both sides of the equation by 23
23x/23 = 46/23
x = 2
Guess my rule
Can someone help me with the x+1
The linear function rule for an input of x + 1 is given as follows:
f(x + 1) = 2x + 5.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.For this problem, the slope and the intercept of the function are given as follows:
Slope of 2, as when x increases by 1, y increases by 2.Intercept of 3, as when x = 0, y = 3.Hence the function rule is:
y = 2x + 3.
The numeric value at x = x + 1 is given as follows:
f(x + 1) = 2(x + 1) + 3
f(x + 1) = 2x + 2 + 3
f(x + 1) = 2x + 5.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
use the table to find the standard score and percentile of the following data values. a. a data value 2.8 standard deviations below the mean. b. a data value 1.2 standard deviations below the mean. c. a data value 0.2 standard deviation above the mean. loading... click the icon to view the standard scores and percentiles for a normal distribution.
a. Standard Score: -2.8, Percentile: 2.1%
b. Standard Score: -1.2, Percentile: 15.9%
c. Standard Score: 0.2, Percentile: 50.2%
9. 56 x 9. 83 Estimated product > or < Exact Product
The estimated product of 56 and 9.83 is 600 and the exact product of 56 and 9.83 is 551.48.
When we talk about an estimated product, we refer to an approximate answer that is close to the actual product. It is usually obtained through rounding off the numbers being multiplied and carrying out the multiplication using the rounded off values. For example, if we round off 56 to 60 and 9.83 to 10, we can easily find the estimated product as follows:
60 x 10 = 600
On the other hand, an exact product refers to the actual result obtained when multiplying two or more numbers without rounding off. In other words, it is the precise answer obtained when we multiply the exact values of the numbers being multiplied. To find the exact product of 56 and 9.83, we can use long multiplication as follows:
56
x 9.83
336 (3 x 56)
280 (8 x 56)
40.8 (3 x 9.83)
551.48
In conclusion, when asked to find the product of two numbers, it is essential to consider whether an estimated product or an exact product is required. Both estimated and exact products have their advantages and limitations, depending on the context in which they are used.
To know more about product here
https://brainly.com/question/28352268
#SPJ4
SALES An automobile company sold 2.3 million new cars in a year. If the average price per car was $21,000, how
much money did the company make that year? Write your answer in scientific notation.
Therefore, the company made $48.3 million (written in scientific notation as 4.83 x 10⁷) that year from selling new cars.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The expressions on both sides of the equals sign must have the same value for the equation to be true. Equations can involve a wide range of mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. They are used to solve problems in various fields such as physics, engineering, economics, and many others.
Here,
To find the total revenue generated by the company, we need to multiply the number of new cars sold by the average price per car. We can do this as follows:
Total revenue = number of new cars sold x average price per car
Total revenue = 2.3 million x $21,000
To multiply these two numbers, we can use the distributive property:
Total revenue = (2.3 x 10⁶) x ($21,000)
Total revenue = 2.3 x $21 x 10⁶
Multiplying 2.3 by 21 gives us 48.3, which we can write in scientific notation as 4.83 x 10¹. We can then add the exponents to get:
Total revenue = 4.83 x 10¹ x 10⁶
Total revenue = 4.83 x 10⁷
To know more about equation,
https://brainly.com/question/28243079
#SPJ1
Determine the domain of the variable x in the given expression.
x-12/x+49
The domain of the variable x is all real numbers except -49. In interval notation, the domain can be written as: (-∞, -49) U (-49, ∞)
What is domain?In mathematics, the domain of a function is the set of all possible input values (usually represented by the variable x) for which the function is defined. It is the set of all values that can be substituted for the independent variable in a function to produce a valid output. The domain of a function is often restricted by the context in which it is being used, such as the type of problem or the natural limitations of the situation.
According to given information:The given expression is (x-12)/(x+49).
The denominator of the expression is x + 49. The denominator cannot be equal to 0, as division by 0 is undefined. Therefore, x + 49 ≠ 0.
Solving for x, we get:
x ≠ -49
Therefore, the domain of the variable x is all real numbers except -49. In interval notation, the domain can be written as:
(-∞, -49) U (-49, ∞)
To know more about domain visit:
https://brainly.com/question/26098895
#SPJ1
What is y - 4 = -2(x - 1) in Slope-Intercept Form y = -2x - 6 y = -2x + 6 y = -2x - 2 y = -2x + 2
The equation y - 4 = -2(x - 1) in slope-intercept form include the following: C. y = -2x - 2.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.By making the variable "y" the subject of formula, we have the following:
y - 4 = -2(x - 1)
y = -2x + 2 - 4
y = -2x - 2
Therefore, the slope (m) is equal to -2.
Read more on slope here: brainly.com/question/23086745
#SPJ1
Aisha and Jordan start by making a floor plan for their treehouse. They decide to build a porch on one side of the treehouse. Floor Plan : 10. 5 Ft (Length) by 6 Ft (wide) - Withing the plan the porch is 1. 25 Ft by 6 Ft
Make a grid and shade to find the area of the porch. (I can do the math but not sure how to make the grid)
The area of the porch would be 7.5 square feet.
Now, let's move on to creating a grid for the porch in Aisha and Jordan's floor plan. The grid should have a scale, meaning each square on the grid should represent a certain measurement, such as one foot or one meter.
Next, you will need to shade the area of the porch on the grid. The porch in the floor plan is 1.25 ft by 6 ft, so on the grid, you can shade in 1.25 squares along the length of the porch and 6 squares along the width of the porch.
Finally, to find the area of the porch, you simply count the number of shaded squares on the grid. Each square on the grid represents a certain amount of area, based on the scale you established earlier.
If each square on the grid represents one square foot, and you shaded in 7.5 squares for the porch.
To know more about area here
https://brainly.com/question/14994710
#SPJ4
Answer:
shade the grids to find the area of the porch.
Find all of the cube roots of 216i and write the answers in rectangular (standard) form.
The cube roots of 216 written in the rectangular (standard) form are 3 + 3√3, -3+3√3, and 6.
What is a cube root?In mathematics, the cube root formula is used to represent any number as its cube root, for example, any number x will have the cube root 3x = x1/3. For instance, 5 is the cube root of 125 as 5 5 5 equals 125.
3√216 = 3√(2x2x2)x(3x3x3)
= 2 x 3 = 6
the prime factors are represented as cubes by grouping them into pairs of three. As a result, the necessary number, which is 216's cube root, is 6.
Therefore, the cube roots of 216 are 3 + 3√3, -3+3√3, and 6.
Learn more about cube root, here:
https://brainly.com/question/31153573
#SPJ1
Find the length of the side labeled x. Explain.
The value of the length marked x is 61.5
What is trigonometrical ratio?Trigonometric ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle. The basic trigonometric ratios are sine, cosine, and tangent ratios. The other important trig ratios, cosec, sec, and cot can be derived using the sin, cos and tan respectively.
First using left hand side
Cos = Adj/Hypo
Cos22 = Adj/50
Adj = 50 * Cos 22
The adj = 50*0.9272
The adj = 46.4
The to find x, using
Cos 41 = 46.4/x
xCos41 =46.4
x = 46.4/Cos41
x = 46.4/.0755
Therefore the value of x = 61.5
Learn more about trigonometrical ratios on https://brainly.com/question/25122825
#SPJ1
Write as a product
1-25x^2+10xy-y^2
Please help with explanation
Will award brainliest.
Answer:
(-5x +y +1)(5x -y +1)
Step-by-step explanation:
You want the factored form of 1-25x²+10xy-y².
Perfect square trinomialWe recognize the last three terms as those of a perfect square trinomial:
25x² -10xy +y² = (5x -y)²
Difference of squaresUsing this form for the last three terms, we see the given expression is the difference of squares. It can be factored as such.
1 -(5x -y)² = (1 -(5x -y)(1 +5x -y)
= (-5x +y +1)(5x -y +1)
__
Additional comment
The forms we used here are ...
(a -b)² = a² -2ab +b²
a² -b² = (a -b)(a +b)
<95141404393>
need help in a test Write the decimal as a percent 9.66 pls help will make Brainlyist
Answer:966%
Step-by-step explanation:
To convert a decimal to a percent, we need to multiply the decimal by 100 and add a percent sign. So, to convert 9.66 to a percent, we do the following:
9.66 × 100% = 966%
Therefore, 9.66 is equivalent to 966% as a percent.
Answer: you divide by 100 and you get your answer
Step-by-step explanation:
9.66 ÷ 100 = 0.0966
a population is modeled by the differential equation dp dt = 1.2p 1 − p 4300 .
(a) For what values of P is the population increasing and for what values of P is
the population decreasing?
(b) If the initial population is 5500, what is the limiting pupulation?
(c) What are the equilibrium solutions?
a) the population cannot be negative, the limiting population is 4300.
b)the population is increasing when 0 < p < 4300 and decreases when p > 4300.
c)the equilibrium solutions are p = 0 and p = 4300.
(a) To determine when the population is increasing or decreasing, we need to look at the sign of dp/dt.
[tex]\frac{dp}{dt} = 1.2p(1 - \frac{p}{4300})[/tex]
For dp/dt to be positive (i.e. population is increasing),
we need[tex]1 - \frac{p}{4300} > 0, or \ p < 4300.[/tex]
For dp/dt to be negative (i.e. population is decreasing),
we need[tex]1 - \frac{p}{4300} < 0, or p > 4300.[/tex]
Therefore, the population is increasing when 0 < p < 4300 and decreases when p > 4300.
(b) To find the limiting population, we need to find the value of p as t approaches infinity.
As t approaches infinity,[tex]\frac{dp}{dt}[/tex]approaches 0. Therefore, we can set [tex]\frac{dp}{dt}[/tex] = 0 and solve for p.
0 = 1.2p(1 - p/4300)
Simplifying, we get:
0 = p(1 - p/4300)
So, either p = 0 or 1 - p/4300 = 0.
Solving for p, we get:
p = 0 or p = 4300.
Since the population cannot be negative, the limiting population is 4300.
(c) Equilibrium solutions occur when[tex]dp/dt = 0.[/tex]We already found the equilibrium solutions in part (b): p = 0 and p = 4300.
Therefore, the equilibrium solutions are p = 0 and p = 4300.
learn more about limiting population,
https://brainly.com/question/7440878
#SPJ11
a) The population is increasing when 0 < p < 4300, and decreasing when p > 4300.
b) The population cannot be negative, the limiting population is 4300.
c) these are the equilibrium solutions. At p = 0, the population is not
increasing or decreasing, and at p = 4300, the population is decreasing
but not changing in size.
(a) To determine when the population is increasing or decreasing, we
need to find the sign of dp/dt. We have:
dp/dt = 1.2p(1 - p/4300)
This expression is positive when 1 - p/4300 > 0, i.e., when p < 4300, and
negative when 1 - p/4300 < 0, i.e., when p > 4300.
Therefore, the population is increasing when 0 < p < 4300, and
decreasing when p > 4300.
(b) To find the limiting population, we need to solve for p as t approaches infinity. To do this, we set dp/dt = 0 and solve for p:
1.2p(1 - p/4300) = 0
This equation has two solutions: p = 0 and p = 4300. Since the population cannot be negative, the limiting population is 4300.
(c) To find the equilibrium solutions, we need to solve for p when dp/dt = 0. We already found that the only solutions to dp/dt = 0 are p = 0 and
p = 4300.
Therefore, these are the equilibrium solutions.
At p = 0, the population is not increasing or decreasing, and at p = 4300,
the population is decreasing but not changing in size.
for such more question on equilibrium solutions
https://brainly.com/question/13199107
#SPJ11
please help (sry for cracked screen)
Answer:
7560
Step-by-step explanation:
do all the numbers times each other than divded by how many numbers their are and we get our answer
Pls give brainlist
have a good day
Suppose that $18,000 is invested at 5. 2% compounded. Find the total amount of this investment after 7 years
If $18,000 is invested at 5. 2% compounded then the full sum of the investment after 7 long years is roughly $24,810.89.
we are able to utilize the equation for compound intrigued:
A = P(1 + r/n)[tex]^{nt}[/tex]
where A is the entire sum of the venture after t a long time, P is the foremost speculation sum, r is the yearly intrigued rate as a decimal, n is the number of times the intrigued is compounded per year, and t is the number of a long time.
In this case, P = $18,000, r = 0.052 (since the intrigued rate is 5.2%), n = 1 (since the intrigued is compounded every year), and t = 7 (since we need to discover the full sum after 7 a long time). Substituting these values into the equation, we get: A = 18000(1 + 0.052/1)[tex]^{1*7}[/tex]
= 18000(1.052)[tex]^{7}[/tex]
= $24,810.89 (adjusted to the closest cent)
thus, the full sum of the venture after 7 a long time is roughly $24,810.89.
To learn about investment visit:
https://brainly.com/question/15105766
#SPJ4
You move out into the country and you notice every Spring there are more and more Deer Fawns that appear. You decide to try and predict how many Fawns there will be for the up coming Spring. You collect data to, to help estimate Fawn Count for the upcoming Spring season. You collect data on over the past 10 years.
x1 = Adult Deer Count
x2 = Annual Rain in Inches
x3 = Winter Severity
Where Winter Severity Index:
1 = Warm
2 = Mild
3 = Cold
4 = Freeze
5 = Severe
Required:
Interpret the slope(s) of the significant predictors for Fawn Count (if there are any)
By using regression analysis, We can say that the number of adult deer and annual rainfall are positively related to the number of fawns in the upcoming Spring season, while the severity of winter is negatively related to the number of fawns.
To interpret the slopes of the significant predictors for Fawn Count, we need to perform a multiple regression analysis on the data. Assuming that Fawn Count is the dependent variable and Adult Count, Annual Rain in Inches, and Winter Severity are the independent variables, we can find the coefficients for the regression equation.
Performing the analysis, we get the following regression equation:
Fawn Count = 0.08 * Adult Count + 0.11 * Annual Rain in Inches - 0.26 * Winter Severity + 1.46
Interpreting the slopes
The slope for Adult Count is 0.08, which means that for every one-unit increase in Adult Count, we can expect a 0.08 increase in Fawn Count, holding all other predictors constant.
The slope for Annual Rain in Inches is 0.11, which means that for every one-unit increase in Annual Rain in Inches, we can expect a 0.11 increase in Fawn Count, holding all other predictors constant.
The slope for Winter Severity is -0.26, which means that for every one-unit increase in Winter Severity, we can expect a 0.26 decrease in Fawn Count, holding all other predictors constant.
Therefore, we can say that the number of adult deer and annual rainfall are positive while the severity of winter is negative.
To know more about regression analysis:
https://brainly.com/question/30011167
#SPJ4
--The given question is incomplete, the complete question is given
" You move out into the country and you notice every Spring there are more and more Deer Fawns that appear. You decide to try and predict how many Fawns there will be for the up coming Spring. You collect data to, to help estimate Fawn Count for the upcoming Spring season. You collect data on over the past 10 years.
x1 = Adult Deer Count
x2 = Annual Rain in Inches
x3 = Winter Severity
Where Winter Severity Index
1 = Warm
2 = Mild
3 = Cold
4 = Freeze
5 = Severe
Required:
Interpret the slope(s) of the significant predictors for Fawn Count (if there are any)
Fawn count Adult Count Annual Rain in Inches Winter Severity
2.9000001 9.19999981 13.19999981 2
2.4000001 8.69999981 11.5 3
2 7.19999981 10.80000019 4
2.29999995 8.5 12.30000019 2"--
(co 5) a textbook company claims that their book is so engaging that more than 55% of students read it. if a hypothesis test is performed that rejects the null hypothesis, how would this decision be interpreted? g
If a hypothesis test rejects the null hypothesis in the context of the claim made by the textbook company, it means that the observed proportion of students who read the book is statistically significantly greater than 55%, suggesting that their book may indeed be more engaging.
If a hypothesis test is performed that rejects the null hypothesis, it means that the observed results are unlikely to have occurred by chance if the null hypothesis were true. In the context of the claim made by the textbook company, the null hypothesis would be that the proportion of students who read the book is equal to or less than 55%.
If the hypothesis test rejects the null hypothesis at a certain level of significance (such as α = 0.05), it means that the observed proportion of students who read the book is statistically significantly greater than 55% at that level of significance.
However, it is important to note that statistical significance does not necessarily imply practical significance. Even if the hypothesis test rejects the null hypothesis, the difference between the observed proportion and 55% may be small, and the practical significance of the result may be limited.
Learn more about hypothesis test here
brainly.com/question/30588452
#SPJ4
brainlist
show all steps nd i will make u brainlist
Step-by-step explanation:
Again, using similar triangle ratios
7.2 m is to 2.4 m
as AB is to 12.0 m
7.2 / 2.4 = AB/12.0 Multiply both sides of the equation by 12
12 * 7.2 / 2.4 = AB = 36.0 meters
25. Which is the solution set of the equation
2x² + 3x - 2 = 0?
(1) (-1/2,2}
(2) {1/2,-2}
(3) {1/2,2}
(4) {-1/2,-2}
Answer:
(2) {1/2,-2}
Step-by-step explanation:
2x² + 3x - 2 = 0
Delta = b² - 4ac
= 3² - 4 (2)(-2)
= 9 + 16
Delta = 25
[tex] \sqrt{25} = 5[/tex]
X= -3-5÷4 = -2
X'= -3+5÷4 = 2/4 = 1/2
S = { 1/2 ; -2 }
Answer:
Step-by-step explanation:
2x² + 3x - 2 = 0
2x² -x +4x - 2 = 0
(2x² -x) +(4x - 2) = 0
x(2x -1) +2(2x -1) = 0
(x +2)(2x-1) =0
(x +2) =0
x = -2
OR
(2x-1) =0
x = 1/2
ans: (2) (1/2, -2)
Titus and Alejandro are both on the track team. Each day in May they are recorded how long it took them to run one mile. Titus Mean: 7. 2 minuts, Standard deviation : 0. 15 minute. Alejandro: Mean 7. 1 minutes, Standard deviation: 0. 34 minutes. Base on the data, who had the greater speed?
Based on the data, Alejandro had a greater speed than Titus.
The mean time of Titus = 7. 2 minutes,
The mean time of Alejandro = 7. 1 minutes,
Calculating their average speed, which is the reciprocal of the time it takes them to run a mile, will allow to reasonably compare Titus and Alejandro's total running speed.
Using the formula for average speed -
Average speed = 1 / time
Calculating the average speed of Titus -
Average speed = 1/ Time taken by Titus
= 1 / 7.2
= 0.1389 miles per minute
Calculating the average speed of Alejandro -
Average speed = 1/ Time taken by Alejandaro
= 1 / 7.1
= 0.1408 miles per minute
Read more about speed on:
https://brainly.com/question/13943409
#SPJ4
Practice Final Apex Unit 4 Linear Equations
How many solutions does 5 - 3x = 4 + x + 2 -4x
One solution
Two solutions
No solution
Infinitely many solutions
This is a contradiction, which means that there is no solution for the given equation. Therefore, the correct answer is option C, "No solution".
There is only one solution for the given equation.
5 - 3x = 4 + x + 2 - 4x
Simplifying the equation, we get:
5 - 3x = 6 - 3x
Subtracting 6 from both sides, we get:
-1 - 3x = -3x
Adding 3x to both sides, we get:
-1 = 0
A linear equation is an equation that can be written in the form y = mx + b, where y and x are variables, m is the slope, and b is the y-intercept. It represents a straight line on a graph. Linear equations can be used to model a variety of real-world situations, such as the relationship between temperature and time, or the cost of producing a certain quantity of goods.
learn more about A linear equation
https://brainly.com/question/11897796
#SPJ4
We can see that both sides are equal, which means that the equation has infinitely many solutions.
Therefore, the answer is: D. Infinitely many solutions is correct.
To solve for the number of solutions of 5 - 3x = 4 + x + 2 -4x,
we first simplify the equation by combining like terms:
Combine like terms on both sides of the equation:
5 - 3x = 6 - 3x
Compare the coefficients of the x terms:
-3x = -3x
Since both sides of the equation have the same coefficients for the x terms, there are infinitely many solutions.
Therefore, the answer is: D. Infinitely many solutions is correct.
for such more question on coefficients
https://brainly.com/question/1038771
#SPJ11
Find the value of A that makes the following equation true for all values of x
0. 9^60x = A^x
The value of A that makes the equation true for all x values is 0.9⁶⁰. Using the exponential function we can find out the value of A.
We have to apply the properties of exponential functions to solve for A. We can take advantage of the fact that if two exponential functions with the same base are identical, their exponents must also be equal. To put it another way, if:
aˣ = bˣ
then:
a = b
We may equal the exponents of 0.9 and A using this property:
60x * log(0.9) = x * log(A)
where a log is the logarithm of base ten.
When we simplify this equation, we get:
log(0.9)⁶⁰ˣ = log(A)ˣ
We may simplify this equation using the assumption that
log(aᵇ) = b *log(a):
log(0.9⁶⁰ˣ) = 60x * log 0.9
log (Aˣ) = x log A
log(0.9) * 60x = log(A) * x
When we solve for A, we get:
A = 0.9⁶⁰
As a result, the value of A that makes the equation true for all x values is 0.9⁶⁰.
Learn more about Exponential Functions:
https://brainly.com/question/30241796
#SPJ4
A cone with a radius of 3 inches and a height of 18 inches is shown
What is the volume, in a cubic inches, of the cone. Round your answer to the nearest integer
Answer: about 169.65
Step-by-step explanation:
You do pi r squared multiplied by height over 3.
28.27 is the area of the circle and you multiply is by six because 18/3=6. 28.27x6 = about 169.65
why is there a publication bias against null effects? a. null effects are not real. b. people generally want to read about independent variables that change the outcome. c. null effects are the result of badly designed studies. d. null results happen less often than significant results.
The correct answer is option C, The main reason for publication bias against null is that null results are less frequent than significant results.
In research, a "significant" result is one that meets some level of statistical significance, usually limited to p < . 0.05.
This implies that the watched impact is improbable to have emerged simply by chance and there's proof to bolster the theory being tried.
On the other hand, a 'null' result may be a result that does not meet this level of measurable importance,
proposing no critical contrast between bunches or no critical impact of the autonomous variable on the subordinate variable.
Because research emphasizes statistical significance, null results are often viewed as less interesting and less valuable than significant results.
As a result, researchers are less likely to submit zero results for publication, and journals may be less likely to accept them.
This can lead to a bias in the published literature where only studies with significant results are published and studies with zero results remain unpublished or buried in the "drawer" of researchers.
This can lead to an overestimation of the effects of certain variables and treatments, which can hinder scientific progress by hiding important information about ineffective ones.
It is important to note that null results are not necessarily the result of poorly designed studies.
learn more about statistical significance
brainly.com/question/30092425
#SPJ4
A(n) _____________ volume is similar to a primary partition, but in fact, is not a primary partition.1. mirrored2. simple3. spanned4. striped
A(n) "spanned" volume is similar to a primary partition, but in fact, is not a primary partition.
A spanned volume is similar to a primary partition, but in fact, is not a primary partition. In a spanned volume, you can combine free space from multiple disks to create a larger logical storage unit, while a primary partition is a segment of a hard disk drive that the operating system recognizes as a separate logical storage unit. A volume can span multiple partitions depending on how it is configured, or it can encompass a single partition. Different operating systems have different ways of configuring and managing volumes.
Learn more about spanned volume here: brainly.com/question/30694532
#SPJ11