Answer:
[tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] is equivalent to [tex]f = 0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex].
Step-by-step explanation:
Let be [tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex], we transform this into an equivalent expression with sums and differences of logarithms by applying logarithm properties:
1) [tex]\log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] Given.
2) [tex]\log_{4}\left[\left(\frac{m\cdot n}{19} \right)^{0.5}\right][/tex] Definition of square root.
3) [tex]0.5\cdot \log_{4}\left(\frac{m\cdot n}{19} \right)[/tex] [tex]\log_{a} b^{c} = c\cdot \log_{a} b[/tex]
4) [tex]0.5\cdot (\log_{4}m\cdot n -\log_{4} 19)[/tex] [tex]\log_{a} \frac{b}{c} = \log_{a} b - \log_{a} c[/tex]
5) [tex]0.5\cdot \log_{4} m\cdot n -0.5\cdot \log_{4} 19[/tex] Distributive property.
6) [tex]0.5\cdot (\log_{4}m + \log_{4}n)-0.5\cdot \log_{4}19[/tex] [tex]\log_{a} b\cdot c = \log_{a}b +\log_{a} c[/tex]
7) [tex]0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex] Distributive property/Result.
[tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] is equivalent to [tex]f = 0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex].
T is the midpoint of KL. K has coordinates (2,−6), and T has coordinates (−4,2). Identify the coordinates of L.
Answer:
[tex]L = (-10,10)[/tex]
Step-by-step explanation:
Given
[tex]K = (2,-6)[/tex]
[tex]T = (-4,2)[/tex]
Required
Determine the coordinates of L
Since T is the midpoint of K and L, we make use of:
[tex]T_x = \frac{K_x + L_x}{2}[/tex]
and
[tex]T_y = \frac{K_y + L_y}{2}[/tex]
Solving for [tex]L_x[/tex]
[tex]T_x = \frac{K_x + L_x}{2}[/tex]
[tex]-4 = \frac{2 + L_x}{2}[/tex]
Multiply through by 2
[tex]-8 = 2 + L_x[/tex]
[tex]L_x = -8 - 2[/tex]
[tex]L_x = -10[/tex]
Solving for [tex]L_y[/tex]
[tex]T_y = \frac{K_y + L_y}{2}[/tex]
[tex]2 = \frac{-6+L_y}{2}[/tex]
Multiply through by 2
[tex]4 = -6 + L_y[/tex]
[tex]L_y = 4 + 6[/tex]
[tex]L_y = 10[/tex]
Hence: The coordinates of L is:
[tex]L = (-10,10)[/tex]
is -4 greater,less than or equal to +4 ?
Question 5 (1 point)
In 2001, the Guinness Book of World Records recognized a breakfast which served 18,941 people
as the largest ever cooked. Which number below shows 18,941 rounded to 3 significant digits?
18,900
18,940
10,000
19,000
Review Answers
Saved at 7:09 pm
to search
Answer: 18900
Step-by-step explanation:
Given the question:
In 2001, the Guinness Book of World Records recognized a breakfast which served 18,941 people as the largest ever cooked. Which number below shows 18,941 rounded to 3 significant digits?
18,941 rounded to 3 significant figures
To round to 3 significant figures, the first 3 numbers are kept intact, then the subsequent number is rounded up to 1 if up to or greater than 5 and added to the third figure. If less than 5, all subsequent numbers are rounded down to 0
Hence,
18,941 = 18900 (because 4 is less than 5, 4 and all subsequent numbers are rounded down to 0).
Find the solution of the differential equation that satisfies the given initial condition. xy' + y = y2, y(1) = −5
Answer: [tex]y=\dfrac{5}{5-6x}[/tex]
Step-by-step explanation:
The given differential equation: [tex]xy' + y = y^2[/tex]
[tex]\Rightarrow\ xy'=y^2-y[/tex]
[tex]\Rightarrow\ \frac{1}{y^2-y}y'\:=\frac{1}{x}\\\\\Rightarrow\ \dfrac{1}{y(y-1)}\dfrac{dy}{dx}=\frac{1}{x}\\\\\Rightarrow\dfrac{y-(y-1)}{y(y-1)}dy=\dfrac{1}{x}dx\\\\\Rightarrow\dfrac{1}{(y-1)}dy+\dfrac{1}{y}dy=\dfrac{1}{x}dx[/tex]
Integrate both sides , we get
[tex]\int\dfrac{1}{(y-1)}dy+\int\dfrac{1}{y}dy=\dfrac{1}{x}dx\\\\\Rightarrow\ \ln(y-1)-\ln y=\ln x+c\ \ \ \ (i)[/tex]
At x=1 , y=-5 (given)
[tex]\ln(-5-1)-\ln -5=\ln 1+c\\\\\Rightarrow\ \ln (-6)-\ln(-5)=0+c\\\\\Rightarrow\ \ln(\dfrac{-6}{-5})=c\\\\\Rightarrow\ \ln(\dfrac{6}{5})=c[/tex]
[tex][\ \ln a+\ln b=\ln ab ,\ \ \ \ \ \ln a-\ln b=\ln\dfrac{a}{b}\ ][/tex]
Put value of x in (i), we get
[tex]\ln(y-1)-\ln y=\ln x+\ln (\dfrac65)\\\\\Rigtarrow\ \ln (\dfrac{y-1}{y})=\ln(\dfrac{6}{5}x)[/tex]
[tex]\Rightarrow\ 1-\dfrac{1}{y}=\dfrac{6}{5}x\Rightarrow\ \dfrac{1}{y}=1-\dfrac{6}{5}x\\\\\Rightarrow\ \dfrac{1}{y}=\dfrac{5-6x}{5}\\\\\Rightarrow\ y=\dfrac{5}{5-6x}[/tex]
hence, the required solution: [tex]y=\dfrac{5}{5-6x}[/tex]
The solution to the differential equation
[tex]xy'+y=y^2[/tex]
given the initial condition [tex]y(1)=-5[/tex] is [tex]y=\frac{5}{5-6x}[/tex]
Given the differential equation
[tex]xy'+y=y^2[/tex]
We can rearrange it as follows:
[tex]x\frac{dy}{dx}+y=y^2\\\\x\frac{dy}{dx}=y^2-y\\\\\frac{1}{y^2-y}\frac{dy}{dx}=\frac{1}{x}\\\\\frac{1}{y^2-y}dy=\frac{1}{x}dx[/tex]
Factoring the denominators of the LHS, and decomposing into partial fractions, we get
[tex]\frac{1}{y(y-1)}dy \implies \frac{1}{(y-1)}dy+\frac{1}{y}dy[/tex]
The final rearranged equation is
[tex]\frac{1}{(y-1)}dy+\frac{1}{y}dy=\frac{1}{x}dx[/tex]
Integrating both sides;
[tex]\int\frac{1}{y-1} dy +\int\frac{1}{y}dy=\int\frac{1}{x}dx\\\\ln(y-1)-ln(y)=ln(x)+c\\\\ln(\frac{y-1}{y})=ln(x)+c[/tex]
(We made of a law of logarithms on the last line to simplify the equation)
The initial condition [tex]y(1)=-5\implies y=-5 \text{ when }x=1[/tex]
Substituting into the general solution we got earlier
[tex]ln(\frac{y-1}{y})=ln(x)+c\\\\ln(\frac{-5-1}{-5})=ln(1)+c\\\\ln(\frac{-6}{-5})=ln(1)+c \\\\(\text{since }ln(1)=0)\\\\ln(\frac{-6}{-5})=c\\\\ln(\frac{6}{5})=c[/tex]
Substituting the value of [tex]c[/tex] back into the general solution
[tex]ln(\frac{y-1}{y})=ln(x)+c\\\\ln(\frac{y-1}{y})=ln(x)+ln(\frac{6}{5})\\\\ln(\frac{y-1}{y})=ln(\frac{6x}{5})\\\\\frac{y-1}{y}=\frac{6x}{5}[/tex]
When [tex]y[/tex] is made the subject of the formula
[tex]y=\frac{5}{5-6x}[/tex]
Therefore, the solution that satisfies the initial condition [tex]y(1)=-5[/tex] is [tex]y=\frac{5}{5-6x}[/tex]
Learn more about solving differential equations here: https://brainly.com/question/4537000
Please Answer! Brainliest! 25 points!
Answer:
x= 18
y= 54
Step-by-step explanation:
(Sorry if i'm too late)
Okay lets do this!
We will start with X:
If AOD is equal to COB, then we can do 90-72 to find AON
18 +2x= 3x
18 = x (wow that was simple :))
x= 18
Lets try Y now
If AB is a straight line, then 72 +y +3x is 180
so 72 + y + 3( 18) = 180
72 + y + 54 = 180
y = 54
We should check our work now:
2(18)+ 18 + 72 + 54 + 3 (18) + 126 = 360 !!!
Yayyyyy
So this should be correct
Please tell me if this is wrong :)))
Each player at a paintball park pays an entrance fee to use the course. The paintball park also charges each player for the number of paintballs used. When a player uses LaTeX: nn paintballs, the total cost in dollars to play is given by the expression LaTeX: 0.60n+150.60 n + 15.
Complete the statements below with the appropriate values.
The entrance fee to the paintball park is $
.
Each purchase of 15 paintballs costs $
.
Answer:
The entrance fee to the paintball park is $15
Each purchase of 15 paintballs costs $9
Step-by-step explanation:
We are given the expression [tex] 0.60n + 15 [/tex] as the total cost in dollars that a player pays when he plays paintball in the course.
Where,
n = number of paintballs a player uses
$0.60 = cost per paintball
$15 = entrance fee charged to for using the course
Completing the statement given in the question becomes now easy and clear.
We already know that the entrance fee is $15, which is the starting cost.
The cost for our each purchase of 15 paintballs is expressed as = cost per paintball × number of paintballs
= 0.60n
= 0.60 × 15 = $9
Answer:
Entrance Fee = $15
15 point balls cost = $9
Step-by-step explanation:
Which relation is a function?
(8,-4), (8,2), (3, -3), (3, 1), (-1,-1)
(2.0), (4,0), (2, 1), (4, 1), (2, 3)
(2, 1), (4,2), (6,4), (7,5), (8, 6)
(3, 8), (7, 6), (5,5), (4,4), (3, 2)
The sum
of a negative
and positive
integer is
negative?
Complete question is;
State whether true or false
The sum of a negative integer and a positive integer is always a negative integer.
Answer:
False
Step-by-step explanation:
The statement is false. This is because it's not in every case that sum of negative integer and a positive integers is equal to zero.
For example let's consider the integers -5 and 8.
The sum is; -5 + 8 = 3
The result is not negative
Whereas if we consider -8 and 5,the sum is; -8 + 5 = -3
This result is negative
So sometimes the sum can yield a positive or negative results.
Thus, the statement in the question is false.
!!!!!1ILL GIVE 26 POINTS AND BRAINLIEST JUST PLEASE B((((((((((((((!!!!!
It takes Daphne 25 minutes to assemble a model plane. During her work
minutes for lunch and one 15 minute break. Which inequality could Daphne use to determine the number
of model planes, p, she can assemble in her 8 hour work day?
A. 25p – 45 > 8
B. 25p + 45 2 8
C. 25p – 45 < 480
D. 25p + 45 < 480
Answer:
C
Step-by-step explanation:
it is C because 8*60=480 minutes
so 480min/25min=19.20 round=19
25(19)-45=430<480 which is true
where as if you use 19 for p it wouln't be true
find the value of 2 devide3times16
Answer:
32/3
Step-by-step explanation:
John gets to play a total of 96 songs at his school dance. He wants twice as many fast songs, y, as slow dance songs, x. Write a pair of equations to represent this situation and use those equations to find the number of fast and slow songs John can play. Then solve for x and y.
Answer:
The number of fast songs is 64 and the number of slow songs is 32
Step-by-step explanation:
∵ Y represents the number of fast songs
∵ x represents the number of slow dance songs
∵ John gets to play a total of 96 songs at his school dance
→ That means the sum of x and y is 96
∴ x + y = 96 ⇒ (1)
∵ He wants twice as many fast songs, y, as slow dance songs, x
→ That means y is twice x
∴ y = 2x ⇒ (2)
→ Substitute y in equation (1) by equation (2)
∵ x + 2x = 96
∴ 3x = 96
→ Divide both sides by 3 to find x
∴ [tex]\frac{3x}{3}=\frac{96}{3}[/tex]
∴ x = 32
→ Substitute the value of x in equation (2) to find the value of y
∵ y = 2(32)
∴ y = 64
∴ The number of fast songs is 64 and the number of slow songs is 32
the diameter of a circle is 6 inches find the area to the nearest tenth
Answer:
28.3
Step-by-step explanation:
A=3.14*3*3=28.27433 rounded to 28.3
The lines below are parallel if the slope of the solid line is 2, what is the slope of the gas line?
Answer:
2
Step-by-step explanation:
Parallel lines have the same slope. Hope this helps!
Simplify.
9a +4b+4+4a +5b+7
Answer:
13a + 9b + 11
Step-by-step explanation:
9a + 4a = 13a4b + 5b = 9b4 + 7 = 11Put them together: 13a + 9b + 11I hope this helps!
Answer:
13a+ 9b+ 11
Step-by-step explanation:
9a+4a= 13a
4b+ 5b= 9b
4+7=11
According to the Fiji Diabetes Association, 23.1% of Fijians aged 60 years or older had diabetes in 2017. A recent random sample of 200 Fijians aged 60 years or older showed that 52 of them have diabetes. Using a 5% significance level, perform a test of hypothesis to determine if the current percentage of Fijians aged 60 years or older who have diabetes is higher than that in 2017. Use the P-value method
Answer:
The point estimated is 0.260
Step-by-step explanation:
The computation is shown below:
Sample in which the people have diabetes = 52
Random sample = 200
Significance level = 5%
Based on this, the, estimation point is
= Sample in which the people have diabetes ÷ Random sample
= 52 ÷ 200
= 0.260
hence, the point estimated is 0.260
We simply applied the above formula
And, the same is to be considered
The Null Hypothesis is accepted because the value of z is 0.973 and this can be determined by performing the test of the Hypothesis.
Given :
Association, 23.1% of Fijians aged 60 years or older had diabetes in 2017.A recent random sample of 200 Fijians aged 60 years or older showed that 52 of them have diabetes.Use a 5% significance level.Hypothesis are as follows:
Null hypothesis, [tex]\rm H_0: p\leq 0.231[/tex]
Alternate hypothesis, [tex]\rm H_a : p>0.231[/tex]
Now, performing the test of the hypothesis. The critical value z is given by:
[tex]z = \dfrac{\hat{p}-p_0}{\sqrt{\dfrac{p_0(1-p_0)}{n}}}[/tex] ----- (1)
Now, the value of [tex]\hat {p}[/tex] is given by:
[tex]\hat{p}=\dfrac{52}{200} = 0.26[/tex]
Now, put the values of known terms in equation (1).
[tex]z = \dfrac{0.26-0.231}{\sqrt{\dfrac{0.231\times 0.769}{200}}}[/tex]
[tex]z = \dfrac{0.029}{0.0298}[/tex]
z = 0.973
Therefore, the null hypothesis is accepted.
For more information, refer to the link given below:
https://brainly.com/question/19613147
The owner of a movie theater needs to bring in $1400 revenue at each screening in order to stay in business. She sells adults' tickets for $8 each and children's tickets at $3 each.
Answer:
Step-by-step explanation:
Since we are not told what to look for, we can as well look for the number of adults and children tickets sold.
Let x be the number of adult's tickets sold
Let y be the number of children tickets sold.
Let the total amount of tickets sold be 400, then;
x+y = 400....... 1
If she sells adults' tickets for $8 each and children's tickets at $3 each and she needs to bring in a total revenue of $1400, then the equation can be modelled as:
8x+3y = 1400......… 2
Solve equation 1 and 2 simultaneously.
Multiply equation 1 by 3 and 2 by 1:
3x+3y = 1200
8x+3y = 1400
Subtract
3x-8x = 1200-1400
-5x = -200
x = 200/5
x = 40
Substitute x= 40 into equation 1
x+y = 400
40+y = 400
y = 400-40
y = 360
This means that 40 adults tickets were sold and 360 children tickets were sold
Note that the total tickets was assumed.
What price do farmers get for their watermelon crops? In the third week of July, a random sample of 40 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. Assume that σ is known to be $1.98 per 100 pounds.
(a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop. What is the margin of error? (Round your answers to two decimal places.)
lower limit $1
upper limit $2
margin of error $3
(b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.35 for the mean price per 100 pounds of watermelon. (Round up to the nearest whole number.)
4 farming regions
(c) A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop. What is the margin of error? Hint: 1 ton is 2000 pounds. (Round your answers to two decimal places.)
lower limit $5
upper limit $6
margin of error $7
Answer:
A) Upper limit = 7.39
Lower limit = 6.37
Margin of error = 0.51
B)Sample size = 87
C) Upper limit = 2218.50
Lower limit = 1909.50
Margin of error = 154.50
Step-by-step explanation:
We are given;
x¯ = $6.88 per 100 pounds
σ = $1.98 per 100 pounds
n = 45
A) We want to find a 90% Confidence interval. It means the significance level is; 1 - 0.9 = 0.1
Critical z-value for significance level of 0.1 is z = 1.645
Now, margin of error is;
MOE = zσ/√n
MOE = (1.645 × 1.98)/√40
MOE ≈ 0.51
Confidence interval is;
CI = x¯ ± MOE
CI = 6.88 ± 0.51
CI = ((6.88 + 0.51), (6.88 - 0.51))
CI = (7.39, 6.37)
Upper limit = 7.39
Lower limit = 6.37
B) We are given E = 0.35
Thus;
E = zσ/√n
Rearranging, we have;
n = (zσ/E)²
n = (1.645 × 1.98/0.35)²
n ≈ 87
Sample size = 87
C)We are told that the farm brings 15 tons of watermelon to market.
Also, 1 ton = 2000 pounds
Thus;
15 tons = 15 × 2000 pounds = 30000 pounds
Now this is per 100 pounds.
Thus, we can write as: 30000/100 = 300 pounds
So;
x¯ = 300 × 6.88
x¯ = 2064
σ = 1.98 × 300
σ = 594
Critical z-value for significance level of 0.1 is z = 1.645
Now, margin of error is;
MOE = zσ/√n
MOE = (1.645 × 594)/√40
MOE ≈ 154.50
Confidence interval is;
CI = x¯ ± MOE
CI = 2064 ± 154.50
CI = (2064 + 154.50, 2064 - 154.50)
CI = (2218.5, 1909.5)
Upper limit = 2218.50
Lower limit = 1909.50
Which statistic indicates the strength of the relationship between the length of the auction and final price?
Answer:
Percentage of bid.
Step-by-step explanation:
The auction price is the initial start of bidding. This price is set for the thing which are placed under auction and below that auction price the trade cannot take place. This is usually considered as a starting point and then bidders start to quote their bid for the auctioned. The final price is determined when the bidders quotes the highest possible price after which no one else quotes any other bid. The auction is then closed and the bidders gains the auctioned things.
uch Nancy earned? Please my daughter
Answer:
Number 2
Step-by-step explanation:
Kathryn is getting ready for Halloween and is headed to the store to pick up a costume. At the Halloween store,
she sees that there are 20 green wigs, 15 blue wigs, and 30 black wigs. Write the ratio of blue wigs to total
wigs in the Halloween store.
Answer:
15;30
Step-by-step explanation:
Which Quadrant would the Ordered Pair (-2, -5)
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer:
Quadrant IV
Step-by-step explanation:
Answer:
quadrant lll
Why because
quadrant l would be soemthing like (-2,5)
quadrant ll would be (2,5)
quadrant lll would be( -2,-5)
and Quadrant llll would be (2,-5)
How many centavos are there
Answer:
5
Step-by-step explanation:
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
So it's actually simple you take what you know...
24.75 = amount of meter contained in a roll of cotton
9.85 = amount of meter sold
Then you subtract them to get....
24.75 - 9.85 = 14.90
Solve 1/2 + (- 3/4) =
Please answer this as fast as you and it needs to be common denominators before you can add the fractions.
Answer:
-0.25 or 1/4
Step-by-step explanation:
Eh just know
Read the ques
Atennis ball was hit into the air. The height of the tennis ball in feet (h) with respect to how far the ball traveled horizontally in feet (d) can be modeled by the quadratic function, h = -da + 8d + 4.
Enter the maximum height in feet, of the tennis ball
feet
Answer:
0.25feet
Step-by-step explanation:
The equation is not well written. Let the equation of the height be modelled as;
h = -16d²+8d+4
The velocity of the ball is zero at its maximum height.
Velocity = change in displacement/time
v = dh/dd
Differentiate
v = -32d+8
Since dh/dd = v = 0
0 = -32d+8
Add 32d to both sides
0+32d = 8
32d = 8
Divide both sides by 32
32d/32 = 8/32
d = 1/4
d = 0.25feet
Hence the maximum height of the tennis ball is 0.25feet
Note that the modeled equation was assumed. You can apply the same calculation to any equation given
The table shows the amount of pet food in cups remaining in an automatic feeder as a function of the number of meals the feeder has dispensed.
Based on the table, which function models this situation?
Answer:
f(n) = -3n + 24
Step-by-step explanation:
Let the function representing Number of meals and amount of Pet Food remaining is,
f(n) = an + b
Where a = number of meals dispensed
n = amount of Pet food per meal
b = Initial amount of Pet food
From the table attached,
For n = 1 and f(n) = 21,
21 = a(1) + b
a + b = 21 -----------(1)
For n = 3 and f(n) = 15,
15 = a(3) + b
3a + b = 15 -----------(2)
Equation (2) - equation (1),
(3a + b) - (a + b) = 15 - 21
a = -3
From equation (1),
-3 + b = 21
b = 24
Therefore, function will be,
f(n) = -3n + 24
Answer:f(n)=-3+24
Explanation
Unit rate of the table is three therefore taking away 3 cups each time food is dispensed aka -3n. 24 represents the starting point. 21+3=24
What was the golfers total score for the tournament ?
Answer:
-11
Step-by-step explanation:
-3+(-1)+(-5)+(-2)
-3+(-1)=(-4)
-4+(-5)=(-9)
-9+(-2)=(-11)
(-11)
HOPE THIS HELPS!!
Use the distributive property to write an equivalent expression.
9(8w + 4)
Answer:
72w+36
Step-by-step explanation:
In , the Pew Internet & American Life Project asked teens aged to several questions about their attitudes toward social media. The results showed that say social media makes them feel more connected to what is going on in their friends' lives; say social media helps them interact with a more diverse group of people; and feel pressure to post content that will get a lot of likes and comments.
Round your answers to four decimal places.
a. Develop a point estimate of the proportion of teens aged to who say social media makes them feel more connected to what is going on in their friends' lives.
b. Develop a point estimate of the proportion of teens aged to who say social media helps them interact with a more diverse group of people.
c. Develop a point estimate of the proportion of teens aged to who feel pressure to post content that will get a lot of likes and comments.
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]\^ p_1 = 0.8102 [/tex]
b
[tex]\^ p_2 = 0.6904 [/tex]
c
[tex]\^ p_3 = 0.3701 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 743
The number that said social media makes them feel more connected to what is going on in their friends' lives is k = 602
The number that said social media helps them interact with a more diverse group of people is y = 513
The number that said feel pressure to post content that will get a lot of likes and comments is c = 275
Generally a point estimate of the proportion of teens aged 13 to 17 who say social media makes them feel more connected to what is going on in their friends' lives is mathematically represented as
[tex]\^ p_1 = \frac{k}{n}[/tex]
=> [tex]\^ p_1 = \frac{602}{743 }[/tex]\
=> [tex]\^ p_1 = 0.8102 [/tex]
Generally a point estimate of the proportion of teens aged 13 to 17 who say social media helps them interact with a more diverse group of people is mathematically represented as
[tex]\^ p_2 = \frac{k}{n}[/tex]
=> [tex]\^ p_2 = \frac{513}{743 }[/tex]\
=> [tex]\^ p_2 = 0.6904 [/tex]
Generally a point estimate of the proportion of teens aged 13 to 17 who feel pressure to post content that will get a lot of likes and comments is mathematically represented as
[tex]\^ p_3 = \frac{k}{n}[/tex]
=> [tex]\^ p_3 = \frac{275}{743 }[/tex]
=> [tex]\^ p_3 = 0.3701 [/tex]
The point estimate of the teens aged to who say social media makes them feel more connected is 0.8102.
How to calculate the point estimateThe point estimate of the proportion of teens aged to who say social media makes them feel more connected to what is going on in their friends' lives will be:
= Number of teens / Sample size
= 602/743
=™0.8102
The point estimate of the proportion of teens aged to who say social media helps them interact with a more diverse group of people will be:
= 513/743
= 0.6904
The point estimate of the proportion of teens aged to who feel pressure to post content that will get a lot of likes and comments will be:
= 275/743
= 0.3701
Learn more about point estimate on:
https://brainly.com/question/8329437
PLEASEEEEEEEEEEEEEEE HELPPPPPPPPP i'll give you brainliest
The dosage for a medication is increased from 20 mg (milligrams) to 30 mg. What is the percent increase in the dosage?
Step-by-step explanation:
10%
esearchers studying anthropometry collected body girth measurements and skeletal diameter measurements, as well as age, weight, height and gender, for 507 physically active individuals. The histogram below shows the sample distribution of heights in centimeters (Heinz, 2003). Min 147.2 Q1 163.8 Median 170.3 Mean 171.1 SD 9.4 Q3 177.8 Max 198.1 a) What is the point estimate for the average height of active individuals
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the question is incomplete, but based on directives from brainly i did an online search and i was able to get the complete question.
Researchers studying anthropometry collected body girth measurements
and skeletal diameter measurements, as well as age, weight, height and gender, for 507 physically
active individuals. The histogram below shows the sample distribution of heights in centimeters(a) What is the point estimate for the average height of active individuals? What about the median?
(b) What is the point estimate for the standard deviation of the heights of active individuals?
What about the IQR?
(c) Is a person who is 1m 80cm (180 cm) tall considered unusually tall? And is a person who is 1m 55cm (155cm) considered unusually short? Explain your reasoning.
(d) The researchers take another random sample of physically active individuals. Would you
expect the mean and the standard deviation of this new sample to be the ones given above.
Explain your reasoning.
(e) The samples means obtained are point estimates for the mean height of all active individuals,
if the sample of individuals is equivalent to a simple random sample. What measure do we use to quantify the variability of such an estimate? Compute this quantity using the data from the original sample under the condition that the data are a simple random sample
Step-by-step explanation:
1. the point estimate for the average height is the mean = 171.1
the median of active individuals is 170.3
2. point estimate of sd = 9.4
to get IQR
[tex]Q3-Q1[/tex]
= 177.8 -163.8
= 14
3. mean +- SD
171.1 +-2(9.4)
171.1+18.8 = 189.9
171.1-18.8 = 152.3
[189.9, 152.3]
180CM is within the limits of 2SD. so a height of 180cm is not unusually tall
155 cm is within the 2sd limit so this height is not unusually short
4.
mean and sd are not same. a great probability exists that a different sample would have similar but different results if the same sample size is 507.
5.
[tex]9.4/sqrt507[/tex]
= 0.417
≈ 0.42