Answer: 95 degrees :)
A teacher wants to know students post-graduation plans. He surveys his homeroom class and learns that most students plan to become soldiers. The inference is valid or not valid
Based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid.
The teacher surveyed his homeroom class about their post-graduation plans. He found out that most of his students plan to become soldiers.
An inference is a conclusion that can be drawn from a given set of data. In this case, the inference that can be made is that a significant number of students in the homeroom class plan to become soldiers.Therefore, the inference is valid based on the data provided.
However, it is essential to keep in mind that the sample size in the homeroom class is relatively small and may not be representative of the entire population. If the teacher had surveyed a more extensive and diverse population, the results might have been different.
In conclusion, based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid. However, this may not apply to the entire population, and it is crucial to consider the sample size when drawing inferences.
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At a school of 900 students, 20% have blue eyes. A student randomly selects 100 students and finds 17% of them have blue eyes. A second student takes another random sample of 90 students and finds 24% of them have blue eyes. Which of the following explains why there is a difference between the two percentages?
a. The sample sizes were both too small.
b.The samples were not random samples.
c. Both samples suffered from non-response bias.
d. Random error; the numbers were different due to variability inherent in sampling.
Answer:
d.
Step-by-step explanation:
Given that:
In a school;
Population mean = 900
First student:
Sample size = 100
Sample proportion = 0.17
Second student:
Sample size = 90
Sample proportion = 0.24
The difference between the two percentages is a result of the random error because numbers were not the same as a result of variability inherent in sampling.
Nyoko is having a pizza party. 2 large pizzas serve 9 people. How many large pizzas should she order to serve 36 people at the party? *
Answer:
8 pizzas are needed to feed 36 people.
Step-by-step explanation:
If 2 large pizzas serve 9 people, if you divide the number your trying to find by your like term (people) (36/9) you will get 4. You then multiply your other value (2) by your answer to the last step (4) (2*4) you should get 8.
HELP PLZ DUE IN 10 MIN
Answer:
y = 4x+9 is the answer.
Step-by-step explanation:
Hope this helps:)
What type of solution would tho following system have?
y=(9/3)x-2
y=3x-2
One Solution
No Solution
Infinite Solutions
Answer:
one solution I think is the answer
Use polynomial identities to multiply (4 + 2x3 )(4 − 2x3 ).
The product of the polynomials (4 + 2x³)(4 − 2x³) is 16 - 4x⁶
How to determine the product of the polynomialsFrom the question, we have the following parameters that can be used in our computation:
Polynomial products: (4 + 2x3 )(4 − 2x3 )
Rewrite the above product properly
So, we have the following representation
Polynomial products = (4 + 2x³)(4 − 2x³)
Using the difference of two squares identity
We have the following representation
Polynomial products = (4)² - (2x³)²
Evaluate the exponents
Polynomial products = 16 - 4x⁶
Hence, the product is 16 - 4x⁶
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solve each absolute value inequality and show its solution set |5t-1|>21
The solution of the absolute function is
t < -4
t > 22/5
In interval notation it will be (-∞,-4) ;(22/5,+∞).
What is absolute function?
An absolute value function is a function in algebra which consists of the variable in the absolute value bars. In general form of the absolute value function is f(x) = a |x - h| + k where h, k are constants and the most commonly used form of this function is f(x) = |x|. Here a = 1 and h = k = 0.
The Absolute Value term is |5t-1|
For the Negative case it will be -(5t-1)
For the Positive case it will be (5t-1)
at first we will solve for negative case:
-(5t-1) > 21
Multiplying by the minus sign we get,
-5t+1 > 21
Rearranging and Adding up we get,
-5t > 20
Dividing both sides by 5
-t > 4
Multiplying both sides by (-1) we get,
t < -4
Now we will solve for positive case:
(5t-1) > 21
Rearranging and Adding up we get,
5t > 22
Dividing both sides by 5 we get,
t > (22/5)
Hence the solution of the absolute function is
t < -4
t > 22/5
In interval notation it will be (-∞,-4) ;(22/5,+∞).
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The weekly mean income of a group of executives is $1,000 and the standard deviation of this group is $100. The distribution is normal. What percent of the executives have an income of $925 or less
Answer:
23% percent of the executives have an income of $925 or less.
Step-by-step explanation:
We have a normal distribution with mean 1,000 and standard deviation 100.
We have to calculate the proportion of exectutives that have an income of 95 or less. We can calculate this as the probability that X<925.
To do that, we calculate the z-score for X=925:
\(z=\dfrac{X-\mu}{\sigma}=\dfrac{925-1000}{100}=\dfrac{-75}{100}=-0.75\)
Then, with this value for the z-score we can calculate the probability of a randomy selected executive has a income of $925 or less (this value is equal to the proportion we want to calculate):
\(P(X<925)=P(z<-0.75)=0.23\)
What is the percent of 1 - 3√(5/35) ?
Answer:
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%
Step-by-step explanation:
To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
To convert this decimal to a percentage, we simply multiply by 100:
0.0755 * 100 = 7.55%
Since the triangle below contains an obtuse angle, what type of angle must angle xº be?
O A. Straight
B. Acute
O C. Right
D. Obtuse
Out of 18 times a bat, Jen got ahead 5/6 of the time Cassa got a hit 8/9 of the time. Who got more hits? how many more?
Cassa got more hits 16 than Jen who got 15 hits.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that out of 18 times a bat, Jen got ahead 5/6 of the time Cassa got a hit 8/9 of the time.
Cassa's hits = 18 x ( 8 / 9 ) = 16
Jen's hit = 18 x ( 5 / 6 ) = 15
Therefore, Cassa got more hits 16 than Jen who got 15 hits.
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Jayden has $7.69. His coach will give him $3.21 every mile he runs If he run 18 miles how much will he have
ASAP!!! HURRY!!
Answer:
Jayden will earn $3.21 x 18 = $<<3.21*18=57.78>>57.78 from running 18 miles.
So he will have $7.69 + $57.78 = $<<7.69+57.78=65.47>>65.47 in total.
Step-by-step explanation:
Write the number in scientific notation.
1,920,000
Is the leading term of this function x^2 or just 2.
Answer:
\(x^2\)Step-by-step explanation:
In a polynomial function, the leading term is the term containing the highest power of x.
Therefore, the leading term would be:
\(x^2\)If the least value of n is 4, which inequality best shows all the possible values of n?
n ≤ 4
n ≥ 4
n < 4
n > 4
If the least value of n is 4, then the inequality best shows all the possible values of n is, n ≥ 4. So Option B is correct
What are inequalities?Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.
We use these symbols to represent inequalities, '>' , '<', '≥', '≤'
Given that,
The least value of n is 4,
Inequality representation = ?
It is known that,
Least value of n is 4
So, Minimum possible value of n is 4
Maximum value of n should be more than 4,
In order to satisfy the condition,
So,
n > 4
By combining both the things,
It can be written as,
n ≥ 4
Hence, the best inequality representation is n ≥ 4
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Solve the following inequality’s graphically on the set of axes below.
y≥3x−5 and y<−x−1
Answer:
(-11,-3)
Step-by-step explanation:
check is the stetmint is true . -3 grter or eqoule -33+5 that true
The child weighs 55 lbs. Convert the child's weight in pounds to killograms
Answer:
24.94kg
Step-by-step explanation:
Converted the pounds into kilograms
Hi!
Your answer would be: 24.94kg
Hope this helps!
Yours truly,
~~~PicklePoppers~~~Which set of statements shows the correct steps to find 45 percent of 75?
Write 45 percent as 9 ´ 5 percent, and write 5 percent as StartFraction 1 Over 20 EndFraction. Then, find StartFraction 1 Over 20 EndFraction of 75: 75 times StartFraction 1 Over 20 EndFraction = StartFraction 75 Over 20 EndFraction = 3.75. Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75.
Write 45 percent as 9 ´ 5 percent, and write 5 percent as One-half. Then, find One-half of 75: 75 times one-half = StartFraction 75 Over 2 EndFraction = 33.75. Multiply 33.75 by 9 to get 303.75. So, 45 percent of 75 is 303.75.
Write 45 percent as StartFraction 1 Over 45 EndFraction. Then, find StartFraction 1 Over 45 EndFraction of 75: 75 times StartFraction 1 Over 45 EndFraction = StartFraction 75 Over 45 EndFraction = 1.67. So, 45 percent of 75 is 1.67.
Write 45 percent as StartFraction 1 Over 4.5 EndFraction. Then, find StartFraction 1 Over 4.5 EndFraction of 75: 75 times StartFraction 1 Over 4.5 EndFraction = StartFraction 75 Over 4.5 EndFraction = 16.7. So, 45 percent of 75 is 16.7.
Answer:
Over 20 EndFraction of 75: 75 times StartFraction 1 Over 20 EndFraction = StartFraction 75 Over 20 En
Step-by-step explanation:
As the CAPS document outlines, the Content Specification and Content Clarification for Patterns, Functions, and Algebra shows sequenced mathematics content topics and a content area spread. In the Intermediate Phase, select one topic and report on the topic sequence and content area spread. Your report should demonstrate mathematics concepts and procedures’ hierarchical and logical progression.
Answer:
Step-by-step explanation:
In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."
The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:
Introduction to Variables and Expressions:
Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.
Solving One-Step Equations:
Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.
Solving Two-Step Equations:
Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.
Writing and Graphing Linear Equations:
Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.
Systems of Linear Equations:
Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.
Word Problems and Applications:
Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.
The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.
By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.
A line passes through the point (12,–4) and is perpendicular to the line with the equation y = 6x + 3. What's the equation of the line?
I'm just gonna so you how I got it
Step-by-step explanation:
6x - 3y - 5 = 0 has slope 6/3 = 2. A perpendicular line will have slope -1/2 (since slopes of two perpendicular lines must have a product of -1), so its general form will be 3x + 6y - a = 0.
Now to find a. We know a point on the line, (4,10), and so we plug those coordinates in:
3*4 + 6*10 - a = 0
12 + 60 - a = 0
72 = a
3x + 6y - 72 = 0.
We can simplify this by dividing all numbers by 3, getting:
x + 2y - 24 = 0
If 2300 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume
Answer:
12,949.0563cm³Step-by-step explanation:
Let the volume of the box be V = x²h
x is the length of one side of the square base
h is the height of the box;
Also let the surface area S = x² + 2xh + 2xh (open at the top)
S = x²+4xh
Given
S = 2300sq.cm
2300 = x²+4xh
make h the subject of the formula;
2300-x² = 4xh
h = (2300-x²)/4x
Substitute this expression into the volume formula
V = x²y
V = x²(2300-x²)/4x
V = x(2300-x²)/4
V = 1/4(2300x - x³)
To maximize the volume, dV/dx = 0
dV/dx = 1/4(2300- 3x²)
1/4(2300- 3x²) = 0
cross multiply
2300-3x² = 0
2300 = 3x²
x² = 2300/3
x² = 766.67
x = √766.67
x = 22.69cm
Since h = (2300-x²)/4x
h = 2300 - 766.67/4(22.69)
h = 1533.33/90.76
h = 16.89cm
Volume = 766.67(16.89)
Volume = 12,949.0563cm³
Hence the largest possible volume of the box is 12,949.0563cm³
The following system of linear equations is solved by graphing them on the coordinate plane.
y=3x−2y=−35x−1
Which ordered pair is the best approximation of the solution to the system?
(0,−1)
(−1,0)
(−1,−1)
(1,1)
Math lol
Answer:
(0, -1)
Step-by-step explanation:
Maybe you're graphing ...
y = 3x -2y = -3/5x -1These lines meet in the 4th quadrant. The closest point among the answer choices is on the negative y-axis: (0, -1).
The cylinder has a radius of 5 feet and height of 20 feet. What is the volume of the cylinder in cubic feet?
Answer:
Well the volume is 1570.8 cubed. but i don't know what it would be in your range of answers.
Step-by-step explanation:
Solve for the missing side length. Round to the nearest tenth.
5.8
5.2
5.4
5.6
Answer:
C) 5.4-------------------------
Given two legs of a right triangle and we need to find the hypotenuse.
Use Pythagorean theorem:
\(PQ = \sqrt{QR^2+PR^2}\)\(PQ = \sqrt{2^2+5^2} =\sqrt{29} =5.385 = 5.4\ (rounded)\)The matching choice is C.
How many 2 letter permutations can be made from the word "letter"
Answer:
Brainliest for Brainliest
Step-by-step explanation:
Brianna’s teacher asks her which of these three expressions are equivalent to each other.
Expression A:
9x−3x−4
Expression B:
12x−4
Expression C:
5x+x−4
Brianna says that all three expressions are equivalent because the value of each one is −4 when x 0.
Brianna’s thinking is incorrect.
Identify the error in Brianna’s thinking.
Determine which of the three expressions are equivalent.
Explain or show your process in determining which expressions are equivalent.
Find the unit rate. Round to the nearest hundredth, if necessary.
$190 for 16 ft
Answer:
About $11.88 per foot
Step-by-step explanation:
A student reads 56 pages in 4 hours. How many pages will the student read in 7 hours? Do these quantities (number of pages read and time) Vary directly or inversely? Find the constant of variation.
9514 1404 393
Answer:
a) 98
b) directly
c) k = 14 pages per hour
Step-by-step explanation:
a) In order to answer the first question, we must assume that the number of pages varies directly with the amount of time. Further, we must find the constant of variation:
p = kt
56 = k(4)
k = 56/4 = 14 . . . . pages per hour
Then in 7 hours, the student will read ...
p = 14(7) = 98 . . . pages
__
b) As we said in part (a), the variation is direct.
__
c) As we found in part (a), the constant of variation is 14 pages per hour.
find the value of x in x+6=6
Answer:
x=0
Step-by-step explanation:
x+6=6
6-6=x
0=x
x=0
Question 1 (5 points) What is the solution to the system of equations? 3x +y = 4 2x + y = 5 (0, 4) Sof3 (-3, 12) (-3, 13) (-1,7)
Answer:
Step-by-step explanation:
the solution is (0, 2). 3. 3x + y = 6. 4x + 2y = 8.