No, we don't have evidence to support that the mean completion time under new management has decreased but we can conclude that it remains at 15.5 minutes.
Given mean of 15.5 minutes , standard deviation of 1.7 minutes, sample size of 90 and sample mean of 15.4 minutes.
We can do the following study for conclusion:
Firstly the null hypothesis is
[tex]H_{0}: x=15.5[/tex]
The alternate hypothesis is
[tex]H_{1}: x < 15.5[/tex]
since the value is less than this is a one tailed test.
Z=x bar-x/d/[tex]\sqrt{n}[/tex]
where x is sample mean and d is standard deviation.
Z=15.4-15.5/1.7/[tex]\sqrt{90}[/tex]
=-0.1/1.7/9.4868
=-0.560
Critical value of Z at 0.1 level of significance
Z=-1.28
We fails to reject the null hypothesis since -0.560>-1,28
Hence we don't have evidence to support that the mean completion time under new management has decreased but we can conclude that it remains at 15.5 minutes.
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Question is incomplete. It should include:
mean of 15.5 minutes ,
standard deviation of 1.7 minutes,
sample size of 90
and sample mean of 15.4 minutes.
Which expressions represent exponential decay? Check all that apply.
900(0.05)t
700(0.9)x
53(1.75)(0.3)x
90(1.2)t
300(2.4)(1.2)y
2x2 + 9
18 – 3y
The expressions that represent exponential decay are 900(0.05)^t, 700(0.9)^x and 53(1.75)(0.3)^x
How to determine the expressions?An exponential function is represented as:
y = ab^x
The above means that options (f) and (g) are not exponential functions
When b is less than 1, then the function is an exponential decay.
From the list of options, we have:
900(0.05)^t => b = 0.05
700(0.9)^x => b = 0.9
53(1.75)(0.3)^x => b = 0.3
Hence, the expressions that represent exponential decay are 900(0.05)^t, 700(0.9)^x and 53(1.75)(0.3)^x
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HELP QUICKKK What is the difference between –4 and 6?
–10
–2
2
10
Answer:
10
Step-by-step explanation:
Plugin your answer: -4 + 10 = 6
Answer:
10
Step-by-step explanation:
Which of the following situations involve opposite quantities combining to make 0?
·Krista has a new piggy bank. She adds 3 quarters on Tuesday, and then adds another 3 quarters on Thursday.
·Carlyns opens a new checking account with $30. His first purchase, made with his new debit card, totals $28.
·Bekzod makes 1.5 liters of lemonade and drinks it all during the afternoon.
·Daisy is writing a novel. She wrote 4 new pages to finish Chapter 1. When she reviews Chapter 1, she discards these 4 pages and an additional 4 pages.
If m ∠4 = m ∠5, then r||s. Summarize the postulate or theorem that makes this a true statement.
can someone please explain how to solve this
The statement, m∠4 = m∠5, then then r||s is true based on the converse of corresponding angles theorem.
What is the Converse of Corresponding Angles Theorem?Based on the converse of corresponding angles theorem, if two corresponding angles, angles 4 and 5 are congruent or equal to each other, then the lines on which they lie on, lines r and s are congruent.
Therefore, based on the converse of corresponding angles theorem, m∠4 = m∠5, then then r||s.
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.
help me please gang
Answer:
Not similar
Step-by-step explanation:
There is only one side and one angle, which insufficient to prove triangle similarity.
Missing value of why worth 20 points pls help
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The value of x, y and z is 90°, 53°, and 100°, respectively.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
In ΔABD is made on the diameter of the circle, therefore, the measure of ∠BAD = 90°. Therefore,
x° = 90°
In ΔAOD, the measure of ∠AOD is 74°, also, the triangle is an isosceles triangle with OA and OD of equal length. Therefore, the sum of the angles can be written as,
y° + y° + 74° = 180°
2y° = 106°
y = 53°
Similarly, ΔBOC is an isosceles triangle with OB and OC having an equal length. Therefore, ∠OBC=∠OCB. Also, the sum of all the angles can be written as,
∠BOC + ∠OBC + ∠OCB = 180°
∠BOC + 40° + 40° = 180°
∠BOC = 100°
Hence, the value of x, y and z is 90°, 53°, and 100°, respectively.
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What term is used to describe the problem of using variables that strongly correlate with one another in a multiple linear regression model
Multicollinearity is used to describe the problem of using variables that strongly correlate with one another in a multiple linear regression model.
Multiple linear regression refers to a statistical technique that is used to predict the outcome of a variable based on the value of two or more variables. It is sometimes known simply as multiple regression, and it is an extension of linear regression. The variable that we want to predict is known as the dependent variable, while the variables we use to predict the value of the dependent variable are known as independent or explanatory variables.
Multicollinearity, also known as collinearity, is a phenomena in statistics when one predictor variable in a multiple regression model can be linearly predicted from the others with a high level of accuracy. In this case, minor adjustments to the model or the data may cause the multiple regression's coefficient estimates to fluctuate unpredictably. Multicollinearity only impacts calculations pertaining to specific predictors; it has no impact on the predictive capability or reliability of the model as a whole, at least within the sample data set. In other words, a multivariate regression model with collinear predictors can show how well the entire set of predictors predicts the outcome variable, but it might not provide accurate information about any particular predictor or about which predictors are redundant with respect to another predictor.
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Members of the band sold juice and popcorn at a college football game to raise money for an
upcoming trip. Each juice bottle sold costs $2.50, and each container of popcorn sold costs
$1.25.
a. write an equation to represent how much money was made
b. be sure to specify what the variables represent.
Answer:
2.50x+1.25y=z
Step-by-step explanation:
Let the number of juice bottles = x
And the number of containers of popcorns=y
And the total number of juice bottles and containers of popcorns=z
Total number of juice bottles=x times $2.50
Total number of containers of popcorn= y times $ 1.25
equation; 2.50x+1.25y=z
Please help! I can't figure this out, i'll give a brainliest
The linear equation that best fits the data is: y = 10x + 15.
How to Write the Linear Equation of a Data?First, find the slope/unit rate (m) and the y-intercept/starting value, then substitute the values into y = mx + b.
Using two points on the graph, (1, 25) and (2, 35), find the slope (m):
Slope (m) = (35 - 25)/(2 - 1)
Slope (m) = 10/1
Slope (m) = 10
Substitute (x, y) = (1, 25) and m = 10 into y = mx + b to find b
25 = 10(1) + b
25 - 10 = b
b = 15
Substitute m = 10 and b = 15 into y = mx + b
y = 10x + 15
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Cylinder A has radius r and height h as shown in the diagram. Cylinder B has radius 4r and height 4h. How many times greater is the surface area of Cylinder B than the surface area of Cylinder A?
Answer:
The surface area of Cylinder B is 16 times the surface area of Cylinder AStep-by-step explanation:
Note: It is assumed we are looking at the total surface area (but the answer would be same for both cases)
GivenCylinders A with radius - r, height - h,Cylinder B with radius - 4r, height - 4h.To find The ratio of total surface areas of cylinder B to ASolutionTotal surface area of cylinder A is:
[tex]S_A = 2\pi r(h + r)[/tex]Total surface area of cylinder B is:
[tex]S_B = 2\pi(4r)(4r + 4h) = 8\pi(4)(r + h) = 32\pi(r + h)[/tex]Find the ratio of areas:
[tex]\cfrac{S_B}{S_A} =\cfrac{32\pi(r+h)}{2\pi(r+h)} =16[/tex]PLEASE HELPPPP!
Susan's calculator has a key that replaces the number displayed with its cube. If a² is displayed, how many times must Susan press the " cubing" key to display a number that is greater than 10?
Please explain it step-by-step! Also, I will give you a brainlist!!
Answer:
10
Step-by-step explanation:
This is because you would have to start with 109 = 23x
then solve it using logarithms
Then once you get the x value, it becomes
X>_10__(whatever number you found)
ILL MARK BRAINLIEST HELP PLS I NEED THE ANSWER TO 9 and 10
Answer:
28. Y=1x+c
29. -2/3x+c
Hope it helps :)
A room has a length of 8 m. A scale diagram is drawn of the room. In the diagram, the room has a length of 1 cm. What is the scale of the diagram? Give your answer as a ratio in the form 1 : k , where k is an integer.
The scale of the diagram as described in the task content is; 1: 8 where k= 8.
What is the scale of the diagram?It follows from the task content that the original length of the room in discuss is 8cm. It therefore follows that the length of the room in the scale diagram is 1cm. On this note, the scale of the diagram in discuss is; 1 : 8 as 1cm on the diagram corresponds to 8cm actual length.
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number 8. use the Steps in the construction to determine which statement is true
Answer:
choice C
Step-by-step explanation:
The circle is circumscribed because circles drawn on the outside is known as circumscription. The circle is clearly outside touching the three vertices of the triangle.
7. A student on the cross-country team runs 30 minutes a day as a part of her training.
Write an equation to describe the relationship between the distance she runs in miles, , and her running speed, in miles per hour, when she runs:
a. at a constant speed of 4 miles per hour for the entire 30 minutes.
The relationship between the distance she runs in miles, , and her running speed is Distance = speed * time
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The distance travelled in 30 minutes is:
Distance = speed * time = 4 mph * 0.5 h = 2 miles
The relationship between the distance she runs in miles, , and her running speed is Distance = speed * time
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I NEED HELP QUICK!!!
Triangle ABC is transformed to triangle A′B′C′, as shown below:
A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair negative 1, 3, B at ordered pair 0, 1, C at ordered pair negative 3, 0. A triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 3, B prime at ordered pair 0, negative 1, C prime at ordered pair negative 3, 0.
Which equation shows the correct relationship between the measures of the angles of the two triangles?
The measure of angle CAB = The measure of angle C prime B prime A prime
The measure of angle BCA = The measure of angle A prime B prime C
The measure of angle CAB = The measure of angle C prime A prime B prime
The measure of angle BCA = The measure of angle C prime A prime B prime
The equation that shows the correct relationship between the measures of the angles of the two triangles is;
Option D: The measure of angle BCA = The measure of angle C prime A prime B prime
How to Interpret Objects Transformation?We are told that Triangle ABC is transformed to triangle A′B′C′.
Now, the triangle ABC and A'B'C' are similar triangles and we know that similar triangles angles are congruent. Thus;
From the given coordinates, we can say that;
∠BAC = ∠B'A'C'
∠ABC = ∠A'B'C'
∠ACB = ∠A'C'B'
Thus, the equation that shows the correct relationship between the measures of the angles of the two triangles is;
The measure of angle BCA = The measure of angle C prime A prime B prime
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Let $m$ be a positive integer such that $m$ has exactly 5 positive divisors. How many distinct prime factors does $m$ have
If m has exactly 5 positive divisors then there can only be one prime factor.
According to statement
m has exactly 5 positive divisors AND
Let A^p,B^q,.... are the possible factors of integer m then
assume that p and q ≥ 1.
then the number of possible divisors cannot be 5 because there are no two integers p, q ≥ 1, such that (p +1)(q + 1) = 5
So, If m has exactly 5 positive divisors then there can only be one prime factor.
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HELP FAST!! PLEASE will give brainliest!
Answer:
22
Step-by-step explanation:
3*sqrt 25 + 7
3*5 + 7
15+7
22
Solve each triangle – find any missing side and angle measures. Round answers to the nearest tenth.
Step-by-step explanation:
The following figure shows a square-based pyramid.
5
6
Which expression represents the surface area of the pyramid?
Choose 1 answer:
The expression that shows the surface area of the pyramid is (2 * 2) + 4(0.5 * 2 * 3)
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The surface area of pyramid = sum of individual area of the surface
Surface area = (2 * 2) + 4(0.5 * 2 * 3)
The expression that shows the surface area of the pyramid is (2 * 2) + 4(0.5 * 2 * 3)
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Write an equation to model this proportional relationship, where x represents the length of the rectangle and y represents the width of the rectangle.
When Area of rectangle is constant, then the length x is inversely proportional to the width y of the rectangle.
[tex]x\propto \frac{1}{y} [/tex]
We know that the area of a rectangle is given by the product of the length and width of the rectangle.
Area = Length*Width
In this given problem,
The length of the rerectanglctangle is represented by x
and the width of the rectangle is represented by y
If the area of the rectangle is represented by A now.
So by the formula,
A = x*y
When A is constant then,
x = A/y
[tex]\therefore x \propto \frac{1}{y}[/tex]
So from the above calculation we can conclude that about relation between length and width that,
"When Area of rectangle is constant, then the length x is inversely proportional to the width y of the rectangle."
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Given that y = 12 cm and 0 = 45°, work
out a rounded to 1 DP.
The diagram is not drawn accurately.
X
cm
The value of x is 8.5 cm
How to solve for x?The complete question is in the image
The given parameters are:
y = 12 cm
[tex]\theta = 45^o[/tex]
The value of x is calculated using the following sine ratio
[tex]\sin(\theta) = \frac xy[/tex]
This gives
[tex]\sin(45^o) = \frac x{12}[/tex]
Multiply by 12
[tex]x = 12 * \sin(45^o)[/tex]
Evaluate
x = 8.5
Hence, the value of x is 8.5 cm
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The black graph is the graph of y= f(x). Choose the equation for the red graph
a. y=f(x+3)
b. y=f(x-3)
c. y+3=f(x)
d. y-3=f(x)
Answer:
[tex]D[/tex]
Step-by-step explanation:
Notice that the red graph does not globally differ from the black graph: it would have been approximately the same one unless it had been displaced by 3 units up. Therefore, it was only the ordinate axis that underwent our change: [tex]y - 3 = f(x) \Leftrightarrow y = f(x) + 3[/tex].
Answer:
C
Step-by-step explanation:
CAN ANYONE HELP PLSS
Answer:
CD = 13
Step-by-step explanation:
since Δ ABD and Δ CBD are congruent , then corresponding sides are congruent, so
CD = DA = 13
Answer:
13
Step-by-step explanation:
We know that if two triangles are congruent, the corresponding element of those are also equal.
Given that,
ABD Δ ≡ CBD Δ
Therefore, the corresponding elements are also equal.
AD = CD
AD = 13 units
∴ CD = 13 units
Pls help me with the answer , ty
Using it's concept, the equivalent expression for the perimeter of the figure is:
2 + 3x2 + 4x2 + 5x2 + 8
What is the perimeter of a figure?The perimeter of a figure is given by the total length of it's boundary.
Hence, for the figure given in this problem, the perimeter is:
2 + 3 + 3 + 4 + 4 + 5 + 8 + 5
2 + 3x2 + 4x2 + 5x2 + 8
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Please help ASAP
Please help ASAP
Please help ASAP
Please help ASAP
Substituting L = 7.29,
[tex]t = 2.01 \sqrt{7.29} \approx \boxed {5.4}[/tex]
look at image............
Answer:
f(x)=2x-3
Step-by-step explanation:
cause fir example if you put x=2 the y became 1.
What is the product of the matrices [tex]\left[\begin{array}{ccc}-3&3&0\end{array}\right] \left[\begin{array}{ccc}-3\\5\\-2\end{array}\right][/tex] ?
Answer:
24
Step-by-step explanation:
(-3 * -3) + (3*5) + (0 * -2) = 24
simplyfy it -25 + 14 ÷ (5 – 3)
Step-by-step explanation:
-25 + 14 ÷ (5-3)
= -25 + 14 ÷ (2)
= - 25 + 7
= - 18
• Your equation
[tex] - 25 + 14 \div (5 - 3)[/tex]
• Solving
[tex] - 25 + 14 \div (2)[/tex]
• Dividing the terms.
[tex] - 25 + 7[/tex]
• Answer = -18
Hope it helps you!
Please help ill give whoever answers the best the brainliest answer