Answer:
A. the population for this sample survey is 34,572 people, and the sample is the people who live in Scotland.
B. The estimates are close to the truth about the entire population.
Step-by-step explanation:
A. According to the given data we have that it was used to interview a random sample of 34,572 people who live in Scotland, therefore, the population for this sample survey is 34,572 people, and the sample is the people who live in Scotland.
B. The estimates are close to the truth about the entire population becuase a large sample was conducted, hence we can make an aproximation that represents the population parameter.
PLEASE help me with this! I can't fail this...
Answer:
The fourthStep-by-step explanation:
The orthocenter of a triangle is the point of intersection of the lines containing its heights.
You find line like that leading line perpendicular to the side of the triangle and crossing the opposite vertex.
Point A is opposite to side BC so line perpendicular to BC that intersects point A is one of the lines needed to find orthocenter.
find the length of y. assume the triangles are similar
a. 3.9
b. 3.6
c. 3.4
d. 3.2
Hey there! I'm happy to help!
If the triangles are similar, the ratio between all of the sides is the same.
We see that to get the 4.2 in the big triangle to the 2.4 in the smaller triangle, we must divide by 1.75 (we get this from 4.2/2.4=1.75). So, if the ratio between all the sides is the same in both triangles, we can divide 6.3 by 1.75 to get y.
6.3/1.75=3.6
Therefore, the length of y is B. 3.6.
Have a wonderful day! :D
Answer:
3.6 = y
Step-by-step explanation:
We can use ratios to solve
2.4 y
----------- = ------------
4.2 6.3
Using cross products
2.4 * 6.3 = 4.2 y
15.12=4.2y
Divide by 4.2
15.12/4.2 = 4.2y/4.2
3.6 = y
Convert -(3)^1/2 - i to polar form
Answer:
2(cos30°+isin30°)
Step-by-step explanation:
Complex value z is written in a rectangular form as z = x+iy where (x, y) is the rectangular coordinates.
On converting the rectangluar to polar form of the complex number;
x = rcosθ and y = rsinθ
Substituting in the rectangular form of the comlex number above;
z = rcosθ + irsinθ
z = r(cosθ+isinθ)
r is the modulus of the complex number and θ is the argument
r =√x²+y² and θ = tan⁻¹y/x
Given the complex number in rectangular form z = -(3)^1/2 - i
z = -√3 - i
x = -√3 and y = -1
r = √(-√3)²+(-1)²
r = √3+1
r = √4
r = 2
θ = tan⁻¹ (-1/-√3)
θ = tan⁻¹ (1/√3)
θ = 30°
Hence the complex number in polar form will be z = 2(cos30°+isin30°)
Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver’s head during a crash test is significantly different for each type of car. Use α = 5% to hand calculate and check your work in SPSS.
Compact Cars Midsize Cars Full-Size Cars
6 4 9
6 4 8
7 5 5
Answer:
The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.
Step-by-step explanation:
A one-way ANOVA is used to test whether there is significant difference between the means for more than two groups.
In this case we need to test whether the mean pressure applied to the driver’s head during a crash test is significantly different for each type of car.
So, a one-way ANOVA would be used.
The hypothesis can be defined as follows:
H₀: There is no difference between the means, i.e. [tex]\mu_{1}=\mu_{2}=\mu_{3}[/tex]
Hₐ: There is a significant difference between the means, i.e. at least one of the mean is different.
Use MS-Excel to perform the ANOVA test.
Go to Data – Data Analysis – Anova: Single Factor
Enter the data and enter Alpha as 0.05.
Press OK.
The output is attached below.
The F-test statistic value is, F = 5.143.
The p-value of the test is, p-value = 0.072.
Decision Rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected.
p-value = 0.072 > α = 0.05
The null hypothesis will not be rejected.
Conclusion:
The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.
Find the limit (if it exists). (If an answer does not exist, enter DNE.) $ \displaystyle{\lim_{\Delta x \rightarrow 0}} \text{ } \dfrac{{\color{red}2} (x + \Delta x) - {\color{red}2} x}{\Delta x} $
Answer:
2x - 2
Step-by-step explanation:
Here is the completer question
lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx
Solution
lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx
Expanding the brackets, we have
lim as Δx → 0 [(x² + 2xΔx + (Δx)²- 2x - 2Δx + 3 - x² + 2x - 3)]/Δx
Collecting like terms. we have
lim as Δx → 0 [(x² - x² + 2xΔx - 2Δx + (Δx)²- 2x + 2x + 3 - 3)]/Δx
Simplifying, we have
lim as Δx → 0 [(0 + 2xΔx - 2Δx + (Δx)² + 0 + 0)]/Δx
lim as Δx → 0 [2xΔx - 2Δx + (Δx)²]/Δx
Dividing through by Δx, we have
lim as Δx → 0 [2x - 2 + (Δx)]
Inserting Δx = 0, we have
= lim as Δx → 0 (2x -2 + 0)
= 2x -2
So lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx = 2x -2
Ted and three of his friends went out to eat. They decided to split the bill evenly. Each person paid $16.88. What was the total bill?
Answer:
Total bill = $67.52
Step-by-step explanation:
Ted + 3 = 4
$16.88 × 4 = $67.52
hopefully this helped you :3
Answer:
16.88*4= 67.52 dollars
Step-by-step explanation:
Ted and 3 friends split the bill evenly, each person paid 16.88:
16.88*4= 67.52 dollars
The rehearsal for act 1 and 2 of the school play lasted 5 1/2 hours. If 3 3/4 hours were spent rehearsing act 1, how much time was spent practicing act 2 ?
Answer: 1 and 3/4 hours were spent rehearsing act 2.
Step-by-step explanation:
5 1/2 total hours spent rehearsing.
take the 3 3/4 hours from act 1.
Subtract 3 3/4 from 5 1/2 to get time spent for act 2.
5 1/2 - 3 3/4 = 7/4
7/4 = 1 3/4
Hope this helps
Answer:
1 3/4 hours
Step-by-step explanation:
Given the time taken to rehearse for act 1 and 2 of a school play to be 5 1/2 hours, if 3 3/4 were spent rehearsing act 1, the amount of time that will be spent in rehearsing act 2 can simply be gotten by taken the difference between the total time taken for both and time spent on act 1.
Mathematically, act1 + act 2 = 5 1/2 hours
If act 1 = 3 3/4 hours
act 2 = 5 1/2 hours - act 1
act 2 = 5 1/2 hours - 3 3/4 hours
Taking the difference between the two values;
= 5 1/2 - 3 3/4
= 11/2 - 15/4
= (22-15)/4
= 7/4 hours
The time taken for practising act 2 will be 1 3/4 hours
In the Olympic tennis event ( in which each tennis player gets eliminated from the tournament after the first defeat) there are 37 players participating. Can you count how many matches there need to be until there is one winner.?
Answer: 26 games in total.
Step-by-step explanation:
If in each game we have one winner and one loser, then after each game we have one less player.
first, out of 37 players, we can write it as 36 players + 1 player that does not play in the first round
the 36 players play games. Because in each game we need 2 players, we have a total of 36/2 = 18 games
in those 18 games, we eliminate 18 players, so now we have 37 - 18 = 19 players.
Now, we can write 19 = 18 players + 1 player that does not play this round.
From the 18 players, we have 18/2 = 9 games.
And from those 9 games, we lose 9 players, so now we have:
19 - 9 = 10 players.
Now from those 10 players, we have 10/2 = 5 games, so after those 5 games we have 10 - 5 = 5 players.
Now we can write 5 = 4 players + 1 player that does not play this round.
from the 4 players we have 4/2 = 2 games, after those 2 games we end with 5 - 2 = 3 players.
And from those last 3 players, we have two games, where in each game one player is eliminated until we have only one winner.
Then the total number of games is:
18 + 9 + 5 + 2 + 2 = 26 games
Determine if the question is statistic or not, college in Jacksonville do tennis coaches get paid more than football coaches
Answer:
Yes, because to get the answer for this question one of the things you would do is most likely look at a group of statistics average them, and see who gets paid more.
Anyone know this one ?
Answer:
y+2 = -1 ( x+4)
Step-by-step explanation:
The y intercept is 2
The slope is found by using two point
( 0,2) and ( 2,0)
m = (y2-y1)/(x2-1)
= ( 0-2)/(2-0)
= -2/2
= -1
The slope is -1 and the y intercept is 2
Using point slope form
y -y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y-y1 = -1(x-x1)
It appears that we are using y1 = -2 so x = 4
y - -2 = -1( x -4)
y+2 = -1 ( x+4)
An infinite geometric series converges if the common ratio is
Answer:
a proper fraction
You order fourteen burritos to go from a Mexican restaurant, six with hot peppers and eight without. However, the restaurant forgot to label them. If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.) At most two have hot peppers.
Answer:
0.578
Step-by-step explanation:
If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.)
Given that there are 14 orders at the ratio by of:
6 with hot peppers
8 without hot peppers
At most two have hot peppers.
Binomial Problem with n = 3 ; p(hot) = 6/8
P(0<= x <=2) = 1 - P(x = 3)
= 1 - (6/8)^3
= 1 - ( 3/4 )^3
= 1 - ( 27/64 )^3
= 1- (37/64)
= 1 - 0.421875
= 0.578125
= 0.578
Use the grouping method to factor this polynomial x^3+2x^2+12x+24
Answer:
We can group x³ and 2x², their GCF is x² so it becomes x²(x + 2). 12x + 24 has a GCF of 12 so it becomes 12(x + 2). Since both terms have the (x + 2) factor, the answer is (x + 2)(x² + 12).
4 ft
8 ft
3 ft
2 ft
6 ft
What is the volume of the composite figure
What number :Increased by 130% is 69 i rlly need help!!!
Answer:
53.076923
Step-by-step explanation:
130% as a decimal is 1.3
Divide 69 by 1.3:
69 /1.3 = 53.076923
Answer:
30
Step-by-step explanation:
The unknown number is x.
Start with x.
To increase x by 130%, you need to add 130%of x to x.
x + 130% of x
The sum equals 69.
x + 130% of x = 69
x + 130% * x = 69
1x + 1.3x = 69
2.3x = 69
x = 30
Answer: The number is 30.
Complete the equation that describes c, the number of cats and g, the number of gold bars put into the machine.
c=?g
Answer:
C= 3g
Step-by-step explanation:
With steps , please.
[tex]\bold{\text{Answer:}\quad x=\dfrac{1}{2},\quad y=1,\quad z=\dfrac{1}{3}}[/tex]
Step-by-step explanation:
[tex]\text{Equation 1:}\quad \dfrac{x}{x+y}=\dfrac{1}{3y}\\\\\\.\qquad \qquad \qquad 3xy=x+y\\\\.\qquad \qquad \qquad 3xy-y=x\\\\.\qquad \qquad \qquad y(3x-1)=x\\\\.\qquad \qquad \qquad y=\dfrac{x}{3x-1}[/tex]
[tex]\text{Equation 2:}\quad \dfrac{y}{y+z}=\dfrac{1}{4z}\\\\\\.\qquad \qquad \qquad 4yz=y+z\\\\.\qquad \qquad \qquad 4yz-y=z\\\\.\qquad \qquad \qquad y(4z-1)=z\\\\.\qquad \qquad \qquad y=\dfrac{z}{4z-1}[/tex]
[tex]\text{Equation 3:}\quad \dfrac{z}{z+x}=\dfrac{1}{5x}\\\\\\.\qquad \qquad \qquad 5xz=z+x\\\\.\qquad \qquad \qquad 5xz-z=x\\\\.\qquad \qquad \qquad z(5x-1)=x\\\\.\qquad \qquad \qquad z=\dfrac{x}{5x-1}[/tex]
Set Equation 1 equal to Equation 2 and substitute z per Equation 3
[tex]\dfrac{x}{3x-1}=\dfrac{z}{4z-1}\\\\\\x(4z-1)=z(3x-1)\\\\4xz-x=3xz-z\\\\4x\bigg(\dfrac{x}{5x-1}\bigg)-x=3x\bigg(\dfrac{x}{5x-1}\bigg)-\dfrac{x}{5x-1}\\\\\\4x^2-x(5x-1)=3x^2-x\\\\4x^2-5x^2+x=3x^2-x\\\\0=4x^2-2x\\\\0=2x(2x-1)\\\\0=2x\qquad\qquad 0=2x-1\\\\x=0\qquad \qquad x=\dfrac{1}{2}[/tex]
Solve for y when x = 0:
[tex]\text{Equation 1:}\quad y=\dfrac{0}{3(0)-1}\quad \rightarrow \quad y=0[/tex]
Notice that x + y is in the denominator and denominator cannot equal zero so x = 0 is an invalid solution.
[tex]\text{Solve for y when}\ x=\dfrac{1}{2}:\\\\\text{Equation 1:}\quad y=\dfrac{\frac{1}{2}}{3(\frac{1}{2})-1}\quad \rightarrow \quad y=1[/tex]
[tex]\text{Solve for z when x = \dfrac{1}{2}}:\\\text{Equation 3:}\quad z=\dfrac{\frac{1}{2}}{5(\frac{1}{2})-1}\quad \rightarrow \quad z=\dfrac{1}{3}[/tex] [tex]\text{Solve for z when}\ x=\dfrac{1}{2}:\\\\\text{Equation 3:}\quad z=\dfrac{\frac{1}{2}}{5(\frac{1}{2})-1}\quad \rightarrow \quad z=\dfrac{1}{3}[/tex]
Suppose the average length of a fish caught in Lake Springfield is 10.6 in with standard deviation 4.1 in. Assuming lengths of fish caught in Lake Springfield are normally distributed, find the probability that a fish caught there will be longer than 18 in.
Answer:
0.035547
Step-by-step explanation:
We would be using z score formula to solve for this question
The formula for calculating a z-score is is
z = (x-μ)/σ
where x is the raw score = 18 in
μ is the population mean = 10.6 in
σ is the population standard deviation = 4.1 in
z score = 18 - 10.6/ 4.1
z score = 7.4 /4.1
z score = 1.80488
Using the normal distribution table to find the probability for the z score of 1.80488
Probability value from Z-Table:
P(z = 1.80488) = 0.96445
The probability that a fish caught there will be longer than 18 in is calculated as:
P(x>18) = 1 - P(z = 1.80488)
= 1 - 0.96445
= 0.035547
The Benton Youth Soccer Team has 20 players on the team, including reserves. Of these, three are goalies. Today, the team is having a contest to see which goalie can block the most number of penalty kicks. For each penalty kick, a goalie stands in the net while the rest of the team (including other goalies) takes a shot on goal, one at a time, attempting to place the ball in the net. How many penalty kicks must be taken to ensure that everyone has gone up against each of the goalies?
Answer:
57
Step-by-step explanation:
Subtract one player from the total number, because one has to block.
19
Multiply this by the number of goalies there are.
19*3=57
There will be 57 kicks.
Suppose that for each firm in the competitive market for potatoes, long-run average cost is minimized at $0.6 per pound when 150 pounds are grown. The demand for potatoes is Q = 40,000/p. If the long-run supply curve is horizontal, then what would be the total consumer spending?
Answer:
Total consumer spending is 160
Step-by-step explanation:
Here , we are interested in calculating the total consumer spending.
In a long run perfect competition market, price interest with MC and minimum point of AC
Hence , P = AC
this means that Q = 40,000/P = 40,000/150 = 266.67 which is approximately 267 potatoes will be consumed
The total consumer spending is thus 267 * 0.6 = 160
For a chemical reaction to occur, at least one-third of the solution must be an acid. If there are five liters of acid, in interval form, how much solution is present?
A. [5,8)
B. (3/5,5]
C. (5/3,5]
D. [5,15]
Answer:
Amount of solution = 15 liter
Step-by-step explanation:
Given:
One third of solution is acid
Amount of acid = 5 Liter
Find:
Amount of solution
Computation:
Amount of solution = Amount of acid (1 / One third of solution is acid)
Amount of solution = Amount of acid (3)
Amount of solution = (5)(3)
Amount of solution = 15 liter
Please answer this question now
Answer:
16.2
Step-by-step explanation:
use Pythagorean theorem
a^2 + b^2 = c^2
15^2 + 6^
225 + 36 = 261
take the sq root of 261
Dos conductores A y B llenan un estanqe en 20 horas .Si el conductor B fuera un desague el estanq se llenaria en 52 horas ¿En q tiempo se llenara el estanque estando solo abierto el conducto A?
Answer:
Con el conducto A abierto, el estanque se llenará en 32.5 horas.
Step-by-step explanation:
Deje que el volumen de agua presente en el estanque sea x litros
La tasa conjunta sería x / 20 litros por hora.
Para el conducto A, no sabemos la hora, llamemos a esto y así que la tasa aquí será x / y
Para el conducto B tomará 52 horas y su tasa es x / 52
Matemáticamente, cuando sumamos ambas tasas juntas, obtendremos la tasa conjunta; Así; x / y + x / 52 = x / 20
Saca x en ambos lados 1 / y+ 1/52 = 1/20
(52 + y) / 52y = 1/20
20 (52 + y) = 52y
1040 + 20y= 52y
1040 = 52y -20y
32y = 1040 y = 1040/32
y = 32.5 horas
Con el conducto A abierto, el estanque se llenará en 32.5 horas.
Jake is going to call one person from his contacts at random. He has 30 total contacts. 16 of those contacts are people he met at school.
What is P(Call a person from school)
Answer:16/30
Step-by-step explanation:
PLS HELP ME..... Question (a) and also (b)...
Step-by-step explanation:
Here,
a). As the graph is given that in 10litre of petrol 10 km can be covered .
then, in 1 liter petrol 1 km is covered.
so,
i). ans is 30 km .
ii). ans is 42km.
b). rate of petrol (r)= RM. 2.30
travelled km= 36.
used petrol = 36 litres (as per the information in graph).
now, total cost (tc)= r×used petrol
or, tc= RM. 2.30 × 36
Therefore, the total amount is RM.82.2.
Hope it helps...
The canvas of a painting has an area of 64 ft2. What length of frame is needed for the border of the painting?
Answer:
8
Step-by-step explanation:
Assuming, the canvas has the shape of a square. By the square area formula we can derive its side:
[tex]S=l^{2}\\64=l^{2}\\l=\sqrt{64}\\ l=8\: ft[/tex]
Then Each side of the painting measures 8 feet, the length of frame must have 8 feet long, and the width is decided by the framer.
Answer:
The answer is C: 32 ft
Step-by-step explanation:
If you take the square root of the area of 64 ft ^2, you get 8. then it asks what is the length needed for the frame as in the entire frame. So you just have to multiply 8 by 4 which is the number of sides. Also, I got this right on the edg quiz.
Which of the following statements is true about the relation represented in the table? The data in the table is linear. The data in the table is nonlinear.
Answer:
Sacramento
Step-by-step explanation:
S 11+9+14+12+8=54
SF 11+8+8+9+12=48
The statement that is true about the information in the table is that the data is non-linear.
Which statement is true about the given table?
The easier way to study the table is by graphing it. Here we have the points:
(11, 11), (12, 9), (9, 8), (8, 8), and (14, 12).
The graph of these points can be seen below, there you can see that the data in the table is clearly non-linear, as we can't draw a line that contains the points on the table.
So the correct option is non-linear.
If you want to learn more about tables, you can read:
https://brainly.com/question/7301139
The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -2/3x + 6. What is the poin
slope form of the equation for this line?
Answer:
Step-by-step explanation:
y - 8 = -2/3(x + 3)
the solution is the 4th option
Complete the equation: x2+10x+__=(__)^2 A. 25; x+5 B. 25; x−5 C. 10; x+10 D. 10; x−10
Answer:
Answer A) 25, and x+5
Step-by-step explanation:
You need to complete the square by adding a constant that makes the quadratic expression a perfect square of a binomial. So base your analysis on the fact that the coefficient accompanying the square term of x is one, and the fact that the middle term has coefficient 10 which is twice "5" so 5 is the likely candidate for the binomial that goes squared: (x + 5) and the square of 5 (25) is what you need to add as constant term to get the perfect square of a binomial:
[tex]x^2+10x+25=(x+5)^2[/tex]
A chemist whishes to prepare 100 liters of 45% purity of sulphuric acid .He has two kinds of acid solutions in stock ,one is 55% pure and the other is 30% pure .How many leters of each kind should be used for the mixture?
Answer:
the chemist should use 60 liters of 55% solution and 40 litres of 30% solution in order to prepare 100 liters of 45% purity of sulphuric acid.
Step-by-step explanation:
From the given information,
Let x be the litres of 55% pure solution
Let y be the litres of 30% pure solution
Also;
Given that our total volume of solution is 100 litres
x+y =100 ---- (1)
The total solution of pure by related by the sum of the individual pure concentrations to make up the concentration of final solution.
(0.55)(x)+(0.30)(y) = 0.45(100) ---- (2)
From equation (1)
Let ; y = 100 - x
Replacing the value for y = 100 - x into equation (2)
(0.55)(x)+(0.30)(100-x) = 0.45(100)
0.55x + 30 - 0.30x = 45
0.55x - 0.30x = 45 - 30
0.25x = 15
x = 15/0.25
x = 60 liters of 55% solution
From ; y = 100 - x
y = 100 - 60
y = 40 litres of 30% solution.
Therefore, the chemist should use 60 liters of 55% solution and 40 litres of 30% solution in order to prepare 100 liters of 45% purity of sulphuric acid.