The table shows the number of hours two groups of teens spent on science and math homework last week. Each group was made up of 10 teens. 13- to 14-year olds 10 9 11 8 10 10 2 7 8 12 15- to 16-year olds 12 10 8 11 12 12 6 4 4 10 Select from the drop-down menus to correctly complete each statement. The mean hours the groups of teens spent studying is , The range for the two groups of of teens is .
Answer: The mean hours the groups of teens spent studying is little bit greater for 15- to 16-year old teen or about same .
The range range for the two groups of of teens is greater for 13- to 14-year old teens.
Step-by-step explanation:
We know that the mean of a data is given by :-
[tex]\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}[/tex]
Range = largest observation - least observation
From the given table :
The mean hours spent by 13- to 14-year olds is given by :-
[tex]\text{Mean}=\dfrac{87}{10}=8.7[/tex]
[tex]\text{Range=12-2=10}[/tex]
The mean hours spent by 15- to 16-year olds is given by :-
[tex]\text{Mean}=\dfrac{89}{10}=8.9[/tex]
[tex]\text{Range=12-4=8}[/tex]
The mean hours the groups of teens spent studying is little bit greater for 15- to 16-year old teen or can say about same.
The range range for the two groups of of teens is greater for 13- to 14-year old teens.
what type of relationship does this pair of angles have?67 degrees and 23 degrees
67° and 23° are complementary angles.
67 + 23 = 90
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
We know that, a ray is a line that continues on forever inn one direction with a point at it's start.
here, we have,
67 degrees and 23 degrees
we know,
67 + 23 = 90
Hence, 67° and 23° are complementary angles.
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A store is selling candy for $6 for 12 bags how much will it cost if you need to have 110 bags
simplify 6x + 8 / 4x + 4
I need help on any of these y’all can help on. Plzzz. (points)
MATH HELP PLEASE WILL GIVE BRAINLIEST!!
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle A?
1 over 4a = 2 over 3. Which of the following equals a in this equation?
1/6
3/8
11/12
2 and 2/3
Answer:
2 and 2 over 3 is the Correct Answer
Step-by-step explanation:
I took the test and got the question wrong, I thought it was 3/8 but it wasnt, my test said the correct answer was 2 and 2 over 3 so I hope you get it right even though I didnt :)
The solution of the expression is,
⇒ a = 3 / 8
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 1 over 4a = 2 over 3.
Now, We can simplify as;
⇒ `1 / 4a = 2 / 3
⇒ 3 = 2 x 4a
⇒ 3 = 8a
⇒ a = 3 / 8
Thus, The solution of the expression is,
⇒ a = 3 / 8
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540 seconds how many minutes
please help me, thanks.
x+3y=0 9y=-3x how many solutions does this system have
The system of equations x + 3y = 0 and 9y = -3x is actually the same line, therefore there are an infinite number of solutions since the equations represent the same line with a slope of -3 and y-intercept of 0.
Explanation:The student has given the linear equations x + 3y = 0 and 9y = -3x. To determine how many solutions this system has, we need to normalize the second equation. If we divide the second equation by 9, we get y = -\frac{1}{3}x, which, when reorganized, becomes x + 3y = 0. These two equations are actually the same line. In other words, every solution of the first equation is also a solution of the second equation, and vice versa.
Therefore, the system of equations has an infinite number of solutions because the lines represented by these equations overlap; they are the same line. This is an example of a dependent system where both equations represent the same relationship between x and y. In graph terms, the slope (m) of both lines is -3, and their y-intercept (b) is 0. This is evident from both the algebraic expression of the equations and from their graphical representation.
The system of equations has one solution.
Explanation:The given system of equations is:
x + 3y = 0
9y = -3x
To solve this system, we can use the second equation to express y in terms of x.
Dividing both sides of the second equation by 9, we get:
y = (-3/9)x
Simplifying, we have:
y = (-1/3)x
We can observe that the equations of the lines represented by both equations in the system have the same slope, which is -1/3.
Since the lines have the same slope but different y-intercepts (0 for the first equation and 0 for the second equation), they will intersect at exactly one point, resulting in one solution for the system of equations.
What is the measure of angle x?
Enter your answer in the box.
x = °
Answer:
I also got 43 using the same strategy as the first guy.
Step-by-step explanation:
90*-40*=43*
Is 6,200 ft. grater than less than or equal to 1ml. 900 ft.
Which r-value suggests a strong negative correlation? A. r=0.97351 B. r= -0.27331 C. r= -0.97351 D. r= 0.27331
Assume that when adults with smartphones are randomly selected, 46% use them in meetings or classes. If 9 adult smartphone users are randomly selected, find the probability that at least 6 of them use their smartphones in meetings or classes.
Answer:
0.18173219.
Step-by-step explanation:
We have been asked to find what will be the probability that at least 6 of 9 adults use their smartphones in meetings or classes.
We will find our answer using Bernoulli's trails.
[tex]_{r}^{n}\textrm{c}\cdot p^{r}\cdot (1-p)^{n-r}[/tex]
First of all we will find the probabilities when r is 6, 7,8 and 9 then we will add them all.
When r=6,
[tex]_{6}^{9}\textrm{c}\cdot 0.46^{6}\cdot (1-0.46)^{9-6}[/tex]
[tex]\frac{9!}{6!3!} *0.46^{6} *0.54^{3}[/tex]
[tex]\frac{9*8*7*6!}{6!*3*2*1} *0.009474296896*0.157464[/tex]
[tex]84*0.009474296896*0.157464=0.12532[/tex]
Similarly we will find Probabilities when r=7, 8 and 9.
When r=7
[tex]_{7}^{9}\textrm{c}\cdot 0.46^{7}\cdot (1-0.46)^{9-7}[/tex]
[tex]\frac{9!}{7!2!} *0.46^{7} *0.54^{2}[/tex]
[tex]\frac{9*8*7!}{7!*2*1} *0.00435817657216*0.2916[/tex]
[tex]36*0.00435817657216*0.2916=0.04575039[/tex]
When r=8
[tex]_{8}^{9}\textrm{c}\cdot 0.46^{8}\cdot (1-0.46)^{9-8}[/tex]
[tex]\frac{9!}{8!1!} *0.46^{8} *0.54[/tex]
[tex]\frac{9*8!}{8!*1!} *0.00200476*0.54[/tex]
[tex]9 *0.00200476*0.54=0.0097431336[/tex]
When r=9,
[tex]_{9}^{9}\textrm{c}\cdot 0.46^{9}\cdot (1-0.46)^{9-9}[/tex]
[tex]\frac{9!}{9!0!} *0.46^{9} *1[/tex]
[tex]1 *0.00092219*1=0.00092219[/tex]
Now let us add all the probabilities to get the final answer.
[tex]0.12532+0.04575+0.00974+0.00092219=0.18173219[/tex]
Therefore, probability that at least 6 of 9 adults use their smartphones in meetings or classes is 0.18173219.
The probability that at least [tex]6[/tex] out of [tex]9[/tex] adult use their smartphone in meeting or classes is [tex]\fbox{\begin\\\ 0.1817\\\end{minispace}}[/tex].
Further explanation:
It is given that [tex]46\%[/tex] smartphone user use their smartphone in meetings or classes and at least [tex]6[/tex] out of [tex]9[/tex] adult smartphone user are selected randomly.
Here we will use the concept of Binomial probability.
If an experiment is performed [tex]n[/tex] times and it has only two outcomes that is, “success” and “failure”.So, the probability associated with this experiment is called Binomial probability.
The probability to get exactly [tex]r[/tex] successes in [tex]n[/tex] trial is given as follows,
[tex]\boxed{P=^{n}C_{r}p^{r}(1-p)^{n-r}}[/tex] ......(1)
Here, [tex]P[/tex] is the probability of [tex]r[/tex] successes in [tex]n[/tex] trials.
About [tex]46\%[/tex] smartphone user use their smartphone in meetings or classes that means the probability of the smartphone user use their smartphone in meetings or classes is as follows:
[tex]\begin{aligned}46\%&=\dfrac{46}{100}\\&=0.46\end{aligned}[/tex]
The statement, “at least six smartphone user” means six or more smartphone user. We will calculate the probability of the [tex]6,7,8[/tex] and [tex]9[/tex] adult smartphone user.
Substitute [tex]0.46[/tex] for [tex]p[/tex], [tex]9[/tex] for [tex]n[/tex] and [tex]6,7,8,9[/tex] for [tex]r[/tex] in equation (1) to obtain the probability of summation as follows,
[tex]P=^{9}C_{6}(0.46)^{6}(1-0.46)^{9-6}+^{9}C_{7}(0.46)^{7}(1-0.46)^{9-7}+^{9}C_{8}(0.46)^{8}(1-0.46)^{9-8}+\qquad^{9}C_{9}(0.46)^{9}(1-0.46)^{9-9}\\\\P=\dfrac{9!}{6!\cdot(9!-6!)}\cdot(0.46)^{6}\cdot(0.54)^{3}+\dfrac{9!}{7!\cdot(9!-7!)}\cdot(0.46)^{7}\cdot(0.54)^{2}+\dfrac{9!}{8!\cdot(9!-8!)}\cdot(0.46)^{8}\cdot(0.54)^{1}+\dfrac{9!}{9!\cdot(9!-9!)}\cdot(0.46)^{9}\cdot(0.54)^{0}[/tex]
Further solving the above equation as follows,
[tex]\begin{aligned}P&=84\cdot(0.46)^{6}\cdot(0.54)^{4}+36\cdot(0.46)^{7}\cdot(0.54)^{2}+9\cdot(0.46)^{8}\cdot(0.54)^{1}+1\cdot(0.46)^{9}\cdot(0.54)^{0}\\&=0.1253+0.04575+0.009743+0.00092219\\&=0.1817\end{aligned}[/tex]
Therefore, the probability that at least [tex]6[/tex] out of [tex]9[/tex] adult use their smartphone in meeting or classes is [tex]\boxed{0.1817}[/tex].
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Answer details:
Grade: College
Subject: Mathematics
Chapter: Probability
Keywords: Probability, numbers, chances, smartphone, meeting, classes, 0.1817, summation, user, equation, selected, Binomial probability, randomly.
Rewrite the following equation in slope-intercept form. 17x − 7y = 16 Write your answer using integers, proper fractions, and improper fractions in simplest form.
anyone know the answer?
What is (-34) divided by (1.2) rounded to the nearest hundredth
Angles A, B, and C represent the three angles of triangle ABC. If the measure of angle A is (4x - 8)°, the measure of angle B is (5x+2)°, and the measure of angle C is (6x-9)°, what is the measure of angle B (in degrees)?
find the sum
the answer is after the first one
Is 11 to 15 correct?
A contest on a game show receives -25 points for each wrong answer what integer represents the change in periods after three wrong answers
Water rushes over Niagara Falls at the rate of 180 million cubic feet every 30 mins. How much water goes over the falls in 1 min?
also, please tell me the steps to do it, instead of just the answer
Answer:
20 million cubic feet every 1 mins
Step-by-step explanation:
180÷3=60
60÷3=20
The price of a math book is $50, but you have only $35 with you. If you get a discount of 20%, how much money do you need to borrow from a friend so that you can buy the book?
Stretch Your Thinking Ann arranges her marbles in groups, with 8 marbles in each group. She writes the fraction 5/8 to show the fraction of marbles in each group that is red. What equivalent fraction names the fraction of marbles in 6 groups that are Red? Explain.
Question 10 please :(
please help! im bad at this!
a triangular pyramid has a volume of 840 cubic inches the triangular base has a base length of 20 inches and a height of 21 inches find the height of the pyramid
The required height of the pyramid is 6 inches.
Given that,
A triangular pyramid has a volume of 840 cubic inches a triangular base has a base length of 20 inches and a height of 21 inches find the height of the pyramid is to be determined.
What is volume?Volume is defined as the ratio of the mass of an object to its density. In other words, the Volume of the object is the product area of the cross-sectional profile and extruded height.
Here,
The base area of the triangle = 20 * 21 = 420 inches².
Volume of the triangular pyramid = 1 / 3 * base area * height
840 = 1 / 3 * 420 * height
840 / 140 = height
height = 6 inch.
Thus, the required height of the pyramid is 6 inches.
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How would 5,608,912,013 be written in word form? A. five million, six hundred eight thousand, nine hundred twelve, thirteen B. five million, six hundred eighty-nine thousand, twelve hundred, thirteen C. five billion, six hundred eight million, nine hundred twelve thousand, thirteen D. five billion, six hundred eighteen million, nine hundred twelve thousand, thirteen
At the end of 2005, the national debt for the U.S. was about 10 trillion dollars, and the population of the U.S. was about 10 to the 8th power. About how much was the per capita (per person) debt?
Final answer:
To find the per capita debt in 2005, divide the national debt of $10 trillion by the U.S. population of 100 million. The per capita debt comes out to be approximately $100,000 per person.
Explanation:
To calculate the per capita debt, we need to divide the national debt by the population of the U.S. The question states that the national debt at the end of 2005 was about $10 trillion, and the population was about 10 to the 8th power (100,000,000). To find the per capita debt, we perform the following calculation:
Per Capita Debt = Total National Debt / Population
= $10,000,000,000,000 / 100,000,000
= $100,000
Thus, the per capita debt was approximately $100,000 per person at the end of 2005.
A. 41 Cu in
B. 83 Cu in
C. 124 Cu in
D. 166 Cu in