To find the area in the right tail more extreme than z= 3.01 in a standard normal distribution, we calculate the p-value as the probability of observing a value more extreme than the test statistic. In this case, the p-value is approximately 0.0103.
Explanation:The p-value, in statistics, measures the probability of obtaining results as extreme or more extreme than the observed data, assuming the null hypothesis is true. A smaller p-value suggests stronger evidence against the null hypothesis, typically indicating statistical significance and supporting the alternative hypothesis.
To find the area in the right tail more extreme than z = 3.01 in a standard normal distribution, we need to calculate the p-value.
The p-value is the probability of observing a value more extreme than the test statistic.
In this case, we use the formula P(Z > z) to find the area in the right tail. Using the information given, P(Z > 3.01) ≈ 0.0103.
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To find the area in the right tail more extreme than z= 3.01 in a standard normal distribution, we calculate the p-value as the probability of observing a value more extreme than the test statistic. In this case, the p-value is approximately 0.0103.
Explanation:The p-value, in statistics, measures the probability of obtaining results as extreme or more extreme than the observed data, assuming the null hypothesis is true. A smaller p-value suggests stronger evidence against the null hypothesis, typically indicating statistical significance and supporting the alternative hypothesis.
To find the area in the right tail more extreme than z = 3.01 in a standard normal distribution, we need to calculate the p-value.
The p-value is the probability of observing a value more extreme than the test statistic.
In this case, we use the formula P(Z > z) to find the area in the right tail. Using the information given, P(Z > 3.01) ≈ 0.0103.
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To find the area in the right tail more extreme than z= 3.01 in a standard normal distribution, we calculate the p-value as the probability of observing a value more extreme than the test statistic. In this case, the p-value is approximately 0.0103.
Explanation:The p-value, in statistics, measures the probability of obtaining results as extreme or more extreme than the observed data, assuming the null hypothesis is true. A smaller p-value suggests stronger evidence against the null hypothesis, typically indicating statistical significance and supporting the alternative hypothesis.
To find the area in the right tail more extreme than z = 3.01 in a standard normal distribution, we need to calculate the p-value.
The p-value is the probability of observing a value more extreme than the test statistic.
In this case, we use the formula P(Z > z) to find the area in the right tail. Using the information given, P(Z > 3.01) ≈ 0.0103.
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Which pair of triangles are congruent by ASA ?
The pair of triangles that are congruent by ASA is figure C
The ASA theoremTwo triangles can be judged to be congruent using the ASA (Angle-Side-Angle) criterion. For triangles to satisfy ASA congruency:
Angle: The triangles' two matching angles have to coincide.Side: There must also be congruence on the included side that lies between the congruent angles.Put otherwise, the ASA criterion determines that two triangles are congruent if two of their angles and the included side are congruent, respectively. For this criterion, the angles and sides' order matters.
Based on the explanations, hence the pair of triangles that are congruent by ASA is figure C
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What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7 ?
find the slope of the line given:
y = mx+b
y = -3x/2 -7/2
slope = -3/2
the slope of the perpendicular line is the negative reciprocal
so answer is 2/3
For all real numbers a and b if a not equal to 0 and b not equal to 0 then a^2 + b^2 does not equal (a+b)^2
A triangle has base 6 cm and area 42 cm^2 what is the height of the triangle
The height of the triangle is 14 cm.
Explanation:To find the height of the triangle, we can use the formula for the area of a triangle: Area = 1/2 * base * height. In this case, the base is 6 cm and the area is 42 cm^2. By rearranging the formula, we can solve for the height: Height = 2 * Area / Base. Plugging in the values, we get Height = 2 * 42 cm^2 / 6 cm = 14 cm.
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Help please! I need to show my work
which graph shows the inequality y>-2
Rob cuts 15-foot wire into 8 equal pieces. About how long is each piece
[02.05]
Solve for x: 4 − (x + 2) < −3(x + 4) (1 point)
x < −7
x > −7
x < −9
x > −9
Option A
x<-7
Given :
[tex]4 - (x + 2) < -3(x + 4)[/tex]
Explanation :
Solve the given inequality for x by applying algebraic properties
We use order of operation to simplify the left and right side of inequality
[tex]4- (x + 2) < -3(x + 4)\\4-x-2<-3x-12\\-x+2 < -3x -12\\Add\; 3x \; on \; both \; sides\\2x+2<-12\\Subtract\; 2\; from \; both \; sides\\2x<-14\\Divide \; both \; sides \; by 2\\x<-7[/tex]
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What is the equation of the line shown in this graph?
pls help
the line of the graph is vertical since both x coordinates are the same ( both are -2)
so the equation would be x = -2
Important state labor laws and safety regulations came about as a result of the 1911 __________.
a. labor relations act
b. triangle shirtwaist factory fire
c. homestead strike
d. massachusetts child safety campaign
Answer:
Option B is correct.
Step-by-step explanation:
Important state labor laws and safety regulations came about as a result of the 1911 - Triangle shirtwaist factory fire
The Triangle shirtwaist factory fire was one of the worst industrial disasters during that time. Many people died due to a fire breakout in the factory. They could not escape the building and died due to smoke inhalation or burns.
After this incident, a Committee on Public Safety was formed that led to a legislation requiring labor laws and improved factory safety standards.
What is the value of x in the parallelogram?
Use the graph shown to fill in the blank.
When x = -3, then y = a0.
State a true conclusion. 1) If a ● b = 0, then a = 0 or b = 0 2) 3x = 0
Answer:
x=0
Step-by-step explanation:
Proposition 1) If a ● b = 0, then a = 0 or b = 0
Proposition 2) 3x = 0
=> 3 = 0 or x = 0
Given that 3 ≠ 0, x must be equal to 0.
Conclusion: x = 0
I have a box of nickels and dimes. When I counted the money, I was surprised to see that I have exactly $20. Then it occurred to me that, if my nickels were dimes and my dimes were quarters, I would have $46.25. How many dimes and nickels are in the box?
There are 150 nickels and 125 dimes in the box.
Let x = the number of nickels in the box
Let y = the number of dimes in the box
Firstly, we have to convert value of nickels and dimes into cents.
Value of 1 nickel = 5 cents
Value of 1 dime = 10 cents
Value of 1 dollar = 100 cents
Thus, the equation (1) (in cents) can be written as:
x + 2y = 400 Equation (1)
If my nickels were dimes and dimes were quarters:
A quarter is worth 25 cents.
Thus, the equation (2) (in cents) can be written as:
5x+10y =2000
5(x+2y)= 2000
x+2y = 2000/5
2x + 5y = 925 Equation (2)
Multiply Equation (1) by "2", we get:
10x +25y= 4625
5(2x+5y)=4625
2x+5y=4625/5
2x + 4y = 800 Equation (1)
Subtraction Equation (1) from Equation (2):
2x +5y-2x -4y=925-800
y= 125
2x + 5y = 925
2x + 5 × 125 = 925
2x + 625 = 925
2x = 925 - 625
2x = 300
x = 150
There are 150 nickels and 125 dimes in the box.
Here, we can check it by putting the value of x and y in Equation (1):
5x + 10y = 2000
5× 150 + 10 × 125 = 2000
750 + 1250 = 2000
2000 = 2000
There are 150 nickels and 125 dimes in the box.
The expression 3x² represents
Final answer:
The expression 3x² signifies a quadratically powered variable (x) that is multiplied by the coefficient 3, commonly seen in algebraic equations.
Explanation:
The expression 3x² represents a mathematical formula where the variable x is squared (multiplied by itself) and then multiplied by 3. The squaring of a variable is a fundamental concept in algebra that symbolizes a number raised to the power of 2.
The coefficient 3 in this case indicates that the square of x is being tripled. Therefore, if x is 2, x² would be 4, and 3x² would be 12. This type of expression is essential in solving quadratic equations and appears frequently in various mathematical contexts.
The vertex of the graph of a quadratic function is (–2, –9) and the y-intercept is (0, –5). Which of the following is the equation of the function? A. y = x2 +10x + 2 B. y = x2 +10x – 2 C. y = x2 – 2x – 5 D. y = x2 + 4x – 5
Which graph represents the solution set of the system of inequalities?
For what values of x and y must each figure be a parallelogram?
a line that passes through two sides of triangles divides the sides proportionally
A. always
B. sometimes
C. never
The table below represents the atmospheric temperature at a location as a function of the altitude:
Altitude
(in thousand feet)
x
15
20
25
30
Temperature
(in °C)
f (x)
4
−6
−16
−26
The average rate of change of the function between x = 15 to x = 25 is ___degrees Celsius per thousand feet and represents the rate of change of temperature per thousand feet.
from x15 to x 25 is 4 - -16 = -20 degree change
25 -15 = 10000 feet
-20/10 = -2 degrees every 1000 feet
Answer: The average rate of change of the function between x = 15 to x = 25 is -2 degrees Celsius per thousand feet and represents the rate of change of temperature per thousand feet.
Step-by-step explanation:
The average rate of change of a function y=f(x) from [tex]x_1\ to\ x_2[/tex]is given by :-
[tex]k=\frac{f(x_2)-f(x_1)}{x_2-x_1}=\frac{-6-4}{20-15}[/tex]
Now, by the given table the average rate of change of the function between x = 15 to x = 25 will be :_
[tex]k=\frac{-16-4}{25-15}=\frac{-20}{10}=-2[/tex]
Hence, the average rate of change of the function between x = 15 to x = 25 is -2 degrees Celsius per thousand feet and represents the rate of change of temperature per thousand feet.
What theorem or postulate can prove a triangle to be an isosceles?
Final answer:
The Converse of the Base Angles Theorem states that if two angles of a triangle are congruent, then the triangle is isosceles.
Explanation:
In geometry, the theorem that can prove a triangle to be isosceles is the Converse of the Base Angles Theorem. It states that if two angles of a triangle are congruent, then the triangle is isosceles. In other words, if the two base angles of a triangle are equal, then the triangle is isosceles. For example, if angles A and B in triangle ABC are congruent (angle A = angle B), then triangle ABC is isosceles.
Which term describes gross pay that is calculated based on the number of hours an employee has worked?
Answer: Hourly wage
Step-by-step explanation:
The term "hourly wage" describes the gross pay that is calculated based on the number of hours an employee has worked.
The hourly wage is the amount of money that is earned by a employee for every hour worked or it is the amount of money paid by employer for every hour worked.
Here, the gross pay is calculated by multiplying the hourly wage to the number of hours worked.
I have a graphing question
Let p: The shape is a rhombus. Let q: The diagonals are perpendicular. Let r: The sides are congruent. Which represents "The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent”?
Answer:
C.)p ↔ (q ∧ r)
Step-by-step explanation:
I scored a 100 on my quiz
Find the quotient of 3 2/5 and 3 2/6. Express your answer in simplest form.
Please help thank you.
30 points.
What is the value of cos 45 degrees?
(answers in picture)
The sum of two integers is 28, and their product is 192. what are the two integers?
What is the probability of throwing a number greater than 4 when rolling a number cube that has sides labeled 1, 2, 3, 4, 5, 6?
The probability of rolling a number greater than 4 on a six-sided die is 1/3 or 0.33 or 33%. This is obtained by dividing the number of favourable outcomes (2, i.e., 5 and 6) by the total number of outcomes (6).
Explanation:The subject of the question is the probability in mathematics, specifically related to an experiment involving rolling a six-sided die. To answer your question, a six-sided die has numbers from 1 to 6. But you are asking about throwing a number greater than 4. There are only two outcomes that are greater than 4, the numbers 5 and 6. Therefore, the possible favorable outcomes are 2.
The total outcomes (since it's a six-sided standard die) are 6. Probability is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, it will be 2/6 = 1/3 which is approximately 0.33 or 33%.
This means, if you roll the die, on an average, you can expect to roll a number greater than 4 about 33 times if you roll it 100 times.
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Can someone how to get the answer? Thanks! PLEASE HELPpppppppppppppppppppppppp