Answer:
The time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.
Step-by-step explanation:
We are given that the time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a standard deviation of 40 seconds.
The fitness association wants to recognize the fastest 10% of the boys with certificates of recognition.
Let X = time for this event for boys in secondary school
SO, X ~ Normal([tex]\mu=460,\sigma^{2} =40^{2}[/tex])
The z-score probability distribution for normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = mean time = 460 seconds
[tex]\sigma[/tex] = standard deviation = 40 seconds
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
Now, it is given that the fitness association wants to recognize the fastest 10% of the boys with certificates of recognition, which means;
P(X > x) = 0.10 {where x is the required time which boy need to beat}
P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{x-460}{40}[/tex] ) = 0.10
P(Z > [tex]\frac{x-460}{40}[/tex] ) = 0.10
So, the critical value of x in the z table which represents the top 10% of the area is given as 1.2816, that is;
[tex]\frac{x-460}{40} =1.2816[/tex]
[tex]{x-460}{} =1.2816\times 40[/tex]
[tex]x[/tex] = 460 + 51.264 = 511.264 seconds
Hence, the time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.
Celia buys 1 fish and 2 portions of chips.
The total cost is £5.60
Celia and Dave share the £5.60 cost in the ratio 4 : 3
Work out how much Celia pays and how much Dave pays.
Answer:
Cecilia=£3.20
Dave=£2.40
Step-by-step explanation:
-The sum of the ratios is:
[tex]\sum{Ratios}=4+3\\\\=7[/tex]
#To find out how much each pay, your multiply the individuals ratio divide by the sum of the ratios times the cost;
[tex]Cecilia=\frac{4}[7}\times 5.60\\\\=\£3.20\\\\Dave=Total- Cecilia's\\\\=5.60-3.20\\\\=\£2.40[/tex]
Hence,Cecilia pays £3.20 and Dave pays £2.40
Is the data point, P, an outlier, an influential point, both, or neither?
The regression equation for a set of paired data is = –23.8 + 2x. The values of x run from 100 to 400. A new data point, P(194, 364.2), is added to the set.
a. Influential point
b. Outlier
c. Both
d. Neither
Answer:
Option a) Influential point is correct.∴ the point P(194,364.2) is an influential point.Step-by-step explanation:
Given that the regression equation for a set of paired data is = -23.8 + 2x. The values of x run from 100 to 400.
A new data point, P(194, 364.2), is added to the set.
From the given we can write it as y = -23.8+2x
Put x=194 in the above equation we get,
[tex]y(194) = -23.8+2\times 194[/tex]
[tex]=-23.8+ 388[/tex]
= 364.2
∴ y(194)=364.2Hence, point P(194,364.2) is on regression line and it is not outlier.
∴ the point P(194,364.2) is an influential point.Hence option a) Influential point is correct.Scientists found an animal skull during an excavation and tested the amount of carbon-14 left in it. They found that 55 percent of the carbon-14 in the skull remained. How many years ago was the animal buried? Round your answer to nearest whole number. (Hint: A = A0e-0.000124t.)
A.
443,548 years
B.
362,903 years
C.
6,439 years
D.
4,821 years
help pls
Answer:
D. 4821 years
Step-by-step explanation:
A = A0e-0.000124t
A/A0 = e^-0.000124t
0.55 = e^-0.000124t
ln(0.55) = ln(e^-0.000124t)
ln(0.55) = -0.000124t × lne
t = ln(0.55)/-0.000124
4821.266135
Find the quotient. I need help I am not very good with fractions sorry.
Answer:
24/5 (Nothing wrong with that.)
Step-by-step explanation:
Dividing is multiplying with the second fraction flipped.
4/5 / 2/12 ----> 4/5 x 12/2
Multiply across. 4 x 12 = 48. 5 x 2 = 10.
Combine. 48/10.
Simplify (divide both sides by 2) . 24/5.
Answer:
[tex] \frac{24}{5} [/tex]
Step-by-step explanation:
To divide two fractions we turn the second fraction upside down and multiply two fractions afterwards
[tex] \frac{4}{5} \div \frac{2}{12} = \\ \frac{4}{5} \times \frac{12}{2} [/tex]
now multiply 4 by 12 and 5 by 2
[tex] \frac{48}{10} [/tex]
now simplify fraction if needed
[tex] \frac{24}{5} [/tex]
United Express, a national package delivery service, charges a base price for overnight delivery of packages weighing 1 pound or less and a surcharge for each additional pound (or fraction thereof). A customer is billed $29.00 for shipping a 7-pound package and $64.00 for a 27-pound package. Find the base price and the surcharge for each additional pound.
Answer:
The base charge = $18.5 and surcharge for each pound is = $1.75
Step-by-step explanation:
Solution:
- Denote:
Base charge = $x ...... For for Weight ≤ 1 lbs
Additional charge = $y / unit pounds
- We are given that the customer is billed $29.00 for shipping a 7-pound package. We can express this statement in terms of "x" and "y".
- The 1-pound out of 7 pounds will be charged with $x and remaining 6 additional pounds of weight will be charged "$y" for each unit of weight.
$x + ( 7 - 1 )*$y = $29.00 .... Eq1
- Similarly for a receipt of $64.00 for a 27-pound package. The 1-pound out of 27 pounds will be charged with $x and remaining 26 additional pounds of weight will be charged "$y" for each unit of weight.
$x + ( 27 - 1 )*$y = $64.00 .... Eq2
- Now solve the two equations simultaneously by subtracting Eq1 from Eq2:
(26 - 6 )*$y = $(64 - 29)
20*$y = $35
y = 1.75
$x = 29 - 6*1.75
x = 18.5
- The base charge = $18.5 and surcharge for each pound is = $1.75
The graph shows the distance a ball has traveled x seconds after it was thrown. What is the average speed between 2 seconds and 8 seconds.
Answer:
0.5 meters per second
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
the first one
i need the steps for 27
Tikiro places a wrench on a nut and applies a downward force of 32 pounds to tighten the nut. If the center of the nut is at the origin, the force is applied at the point (.65,0,0.3) Find the torque. a. 18.4 ft-lb c. 21.2 ft-lb b. 20.8 ft-lb d. 22.1 ft-lb
Answer:
Answer: b. 20.8 ft-lb
Step-by-step explanation:
Consider the data set
8 9 5 1 3 19 6
Find the average (mean):
Answer: [tex]7.29[/tex]
Order the numbers
[tex]Before: 8,9,5,1,3,19,6\\After: 1, 3, 5, 6, 8, 9, 19[/tex]
Add
[tex]1+3+5+6+8+9+19=51[/tex]
Divide
[tex]51/7=7.28571428571[/tex]
Round
[tex]7.28571428571=7.29[/tex]
Final Answer
[tex]7.29[/tex]
aniel Bowen borrowed $10,000 for 3 years
at 13% rate of interest. Find the simple
interest.
Answer:
fylinh rhthkrjehtegjhgjebjbebkbkbkertgbgrbkrt
A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 45 pounds each, and the small boxes weigh 25 pounds each. There are 120 boxes in all. If the truck is carrying a total of 4300 pounds in boxes, how many of each type of box is it carrying?
Answer:
50(115-y) + 25y = 4125 [from eq2]
5750 - 50y + 25y = 4125 [distribute]
5750 - 25y = 4125
-25y = -1625
y = 65 [divide both sides by (-25)]
There are 65 small boxes.
Put that value into either equation (now, which is easier?) to solve for x:
x = 115 - y
x = 115 - 65
x = 50
There are 50 large boxes.
- Mring0506
The required number of boxes that the truck contain is 55 small boxes and 65 large boxes.
Given that, the large boxes weigh 45 pounds each, and the small boxes weigh 25 pounds each. There are 120 boxes in all, the truck is carrying a total of 4300 pounds.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Let the number of large boxes will be l and the number of small boxed be s,
According to the question,
l + s = 120
l = 120 - s - - - - - (2)
Again,
45l + 25s = 4300
put l in the above equation,
45[120 - s] + 25s = 4300
5400 - 45s + 25s = 4300
20s = 1100
s = 1100/20
s = 55
Now,
l = 120 - 55
l = 65
Thus, the required number of boxes that the truck contain is 55 small boxes and 65 large boxes.
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How do I write this in radical form with steps and the final answer please
Answer:
6 * [tex]\sqrt[3]{x}[/tex]
Step-by-step explanation:
6 x^1/3
The 1 means inside to the power of 1 and the 3 means to the cubed root
6 * [tex]\sqrt[3]{x}[/tex]
What is the total number of digits required in numbering the pages of a book, which has 1,724 pages?
Answer:
5789 pages
Step-by-step explanation:
9+180+2700+2900=5789
Brian invests $10,000 in an account earning 4% interest, compounded annually for 10 years. Five years after Brian's initial investment, Chris invests $10,000 in an account earning 7% interest, compounded annually for 5 years. Given that no additional deposits are made, compare the balances of the two accounts after the interest period ends for each account. (round to the nearest dollar) A) Chris has $766 more in his account than Brian. B) Brian has $766 more in his account than Chris. C) Chris has $1,593 more in his account than Brian. D) Brian has $1,593 more in his account than Chris.
Answer:
Brian has $776 more account in his account than Chris.
Step-by-step explanation:
Compound interest Formula:
[tex]A=P(1+r)^t[/tex]
[tex]I[/tex]= A-P
A= Amount after t years
P= Initial amount
r= Rate of interest
t= Time in year
Given that,
Brian invests $10,000 in an account earning 4% interest, compounded annually for 10 years.
Here P = $10,000 , r= 4%=0.04, t=10 years
The amount in his account after 10 years is
[tex]A=10000(1+0.04)^{10}[/tex]
=$14802.44
≈$14802
Five years after Brian's investment,Chris invests $10,000 in an account earning 7% interest, compounded annually for 5 years.
Here P = $10,000 , r= 7%=0.07, t=5 years
The amount in his account after 5 years is
[tex]A=10000(1+0.07)^{5}[/tex]
=$14025.51
≈$14026
From the it is cleared that Brian has $(14802-14026)=$776 more account in his account than Chris.
Answer:
B) Brian has $766 more in his account than Chris
Step-by-step explanation:
Compound interest formula is [tex]A = P(1+r)^{2}[/tex]
P - principal amount
r - rate of interest
t - number of years
Brian invests $10,000 in an account earning 4% interest, compounded annually for 10 years
P = 10,000
r= 4% = 0.04
t = 10
Plug in all the factors
[tex]Brian = 10000(1+0.04)^{10}= $14,802[/tex]
Chris invests $10,000 in an account earning 7% interest, compounded annually for 5 years.
P = 10,000
r= 7% = 0.07
t =5
Plug in all the factors
[tex]Chris = 10000(1+.07)^{5 } = $14,026[/tex]
$14,802 - 14,026 = $776
find angle ABC 8x+16+6x-60=180
-3(x+y)+4=7y
Solve for y
Answer: y= −3 /10 x + 2 /5
Step-by-step explanation:
Let's solve for y.
−3(x+y)+4=7y
Step 1: Add -7y to both sides.
−3x−3y+4+−7y=7y+−7y
−3x−10y+4=0
Step 2: Add 3x to both sides.
−3x−10y+4+3x=0+3x
−10y+4=3x
Step 3: Add -4 to both sides.
−10y+4+−4=3x+−4
−10y=3x−4
Step 4: Divide both sides by -10.
−10y /−10 = 3x−4 / −10
y= −3 /10 x+ 2 /5
A canned food manufacturer has its manufacturing plants in three locations across a state. Their product has to be transported to 3 central distribution centers, which in turn disperse the goods to 72 stores across the state. Which of the following is most likely to be the objective function in this scenario?a. A time-series plot
b. A network graph
c. A scatter chart
d. A contour plot
The objective function in this scenario is minimizing the cost of shipping goods from the plant to the store.
What is Linear Problem?The goal of the Linear Programming Problems (LPP) is to determine the best value for a given linear function. The ideal value may be either the highest or lowest value. The specified linear function is regarded as an objective function in this situation.
The most likely goal function, if we were to create a linear programme for this situation, would be to reduce the cost of shipping from the plants to the stores. This is important since it can become an expensive bottleneck.
Despite the fact that there are three factories and three stores, the costs will not be minimized if the same amount of goods are produced in each plant and carried to a specific store. In fact, the likelihood that each facility generates a distinct volume of items further exacerbates the issue.
Finding the optimal distribution of shipping commodities from each facility to each retailer is important as a result.
Hence, the objective function is minimizing the cost of shipping goods from the plant to the store.
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The options are missing in the question, which are as follow:
a. minimizing the quantity of goods distributed across the stores
b. minimizing the cost of shipping goods from the plant to the store
c. decreasing the cost of their raw material sourcing
d. increasing the number of goods manufactured at the plant
An asymptote for a function f(x) is a straight line which is approached but never reached by f(x).
Select the appropriate response:
True
or
False
Answer:
True
Step-by-step explanation:
That is the definition of a asymptote. It is approached but will never get to the line.
Answer: True!
Step-by-step explanation:
An asymptote for a function f(x) is a straight line which is approached but never reached by f(x)
Suppose that the revenue function for a certain product is given by R(x) = 17(2x + 1)−1 + 34x − 17 where x is in thousands of units and R is in thousands of dollars. (a) Find the marginal revenue (in thousands of dollars) when 2000 units are sold. $ 34 Incorrect: Your answer is incorrect. thousand (b) How does the revenue change when 2000 units are sold?
Answer:
Step-by-step explanation:
Given that:
R(x) = [tex]\frac{17}{2x+1}[/tex] + 34x − 17
As we know that derivative of revenue function is marginal revenue function .
We will use following rules of derivative
=> dR/ dx = [tex]\frac{-17*2}{(2x+1)^{2} } + 34[/tex]
=> R' (x) = [tex]\frac{-34}{(2x+1)^{2} } + 34[/tex]
=> R '(2000) = [tex]\frac{-34}{(2*2000+1)^{2} } + 34[/tex] = 34
The revenue when 2000 units are sold is:
R(2000) = [tex]\frac{17}{2*2000+1}[/tex] + 34*2000 − 17 = $69,783
The marginal revenue be "34" and revenue change be "$69,783".
Marginal revenue:The increase throughout income caused by the acquisition of one more unit of production, is a Marginal revenue. Although marginal income can stay unchanged at a predetermined interval, it's indeed subject to the regulations of decreasing returns as well as will ultimately slow as outcome level grows.
According to the question,
Revenue function,
R(x) = [tex]\frac{17}{2x+1}[/tex] + 34x - 17
Units sold = 2000
(a) The marginal revenue be:
→ [tex]\frac{dR}{dx}[/tex] = [tex]-\frac{17\times 2}{(2x+1)^2}[/tex] + 34
R'(x) = [tex]- \frac{34}{(2x+1)^2}[/tex] + 34
By substituting "x = 2000",
R'(2000) = [tex]- \frac{34}{(2\times 2000+1)^2}[/tex] + 34
= 34
(b) The revenue change be:
→ R(2000) = [tex]\frac{17}{2\times 2000+1}[/tex] + 34 × 2000 - 17
= 69,783 ($)
Thus the above response is appropriate.
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What the area of a circle with the diameter of 10 kilometers
Given:
Given that the diameter of the circle is 10 kilometers.
We need to determine the area of the circle.
Radius of the circle:
The radius of the circle can be determined using the formula,
[tex]r=\frac{d}{2}[/tex]
Substituting d = 10, we get;
[tex]r=\frac{10}{2}[/tex]
[tex]r=5[/tex]
Thus, the radius of the circle is 5 kilometers.
Area of the circle:
The area of the circle can be determined using the formula,
[tex]A=\pi r^2[/tex]
Substituting r = 5, we get;
[tex]A=(3.14)(5)^2[/tex]
[tex]A=(3.14)(25)[/tex]
[tex]A=78.5[/tex]
Thus, the area of the circle is 78.5 square kilometers.
Determine the radius, which is 5 kilometers, before calculating the area of a circle with a diameter of 10 kilometers. Next, find the area, or roughly 78.54 km², using the formula Area = π × (radius)².
How to Calculate a Circle's Area
You can use the following formula to get the area of a circle with a given diameter:
π × (radius)² equals area.
You must first determine the circle's radius. Half of the diameter is the radius. With a ten-kilometer diameter:Radius is equal to diameter / 2 (10 km / 2 = 5 km).Next, compute the area using the following formula:Area is equal to π × (radius)², π × (5 km)², and π × 25 km², or 78.54 km².Consequently, 78.54 km² is the approximate size of the circle with a diameter of 10 km.
The Greasy Spoon Restaurant offers 6 appetizers and 14
main courses. In how many ways can a person order a
two-course meal?
84
112
20
196
Answer:
84 - if they can only have an appetiser and a main course
Step-by-step explanation:
We have 6 * 14 distinct combinations.
If we could also have 2 appetisers or 2 main courses, that brings us up to 316 combinations ([tex]6*14 + 6^2 + 14^2[/tex]) - this is not an options so we do not need to consider this.
Need help with this work. ASAP! Thank you
Answer:
(6/5,0)
(0, 6/8)
Step-by-step explanation:
[tex]5x=6-8y[/tex]
when y = 0 x-intercept
when x = 0 y-intercept
Answer:
x-intercepts- (1.2,0)
y-intercepts- (0,0.75)
Step-by-step explanation:
PLZ WHOEVER ANSWERS THIS ASAP GETS 20 POINTS
Answer:
Step-by-step explanation:
How do you graph
Y=x^2-4x+3
Answer:
Answer is below
Step-by-step explanation:
Use 3 as the y-intercept. Factor the equation to find the solutions
(x - 1) (x - 3) so 1 and 3 are the x-intercepts. The vertex of the graph is at (2,-1).
I also graphed the equation below.
If this answer is correct, please make me Brainliest!
The graph of [tex]y = x^2 - 4x + 3[/tex] is a parabola that opens upward with its vertex at (2, -1). It intersects the x-axis at x = 3 and x = 1 and the y-axis at y = 3.
How to graph this equationThe equation is [tex]y = x^2 - 4x + 3.[/tex]
Use the formula x = -b / (2a) to find the x-coordinate of the vertex. In this case, a = 1, b = -4.
x = -(-4) / (2*1)
= 4 / 2
= 2.
So, the x-coordinate of the vertex is 2.
Subtitute x = 2 into the equation:
[tex]y = (2)^2 - 4(2) + 3[/tex]
= 4 - 8 + 3
= -1.
The y-coordinate of the vertex is -1.
The vertex is at (2, -1).
The y-intercept, we will set x = 0 in the equation:
[tex]y = (0)^2 - 4(0) + 3[/tex]
= 0 - 0 + 3
= 3.
The get x-intercepts, we set y = 0 in the equation:
[tex]0 = x^2 - 4x + 3.[/tex]
(x - 3)(x - 1) = 0.
x = 3 or x = 1.
The x-intercepts are 3 and 1.
Now, we will plot the y-intercept and x-intercepts. The y-intercept is at (0, 3), and the x-intercepts are at (3, 0) and (1, 0).
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GET THIS RIGHT AND YOU'LL GET (100) POINTS
Answer:
10 13 3 12 2
Step-by-step explanation:
there is no true pattern, the numbers written out in letters are listed alphabetically in order
HELPPPPP!!! The data shows the weights of babies, in ounces, born at a local hospital in the month of January. 112, 118, 120, 67, 128, 119, 121, 124, 126.
By how many ounces will the mean weight increase if the outlier is removed from the data set?
Answer:
6
Step-by-step explanation:
The outlier is 67.
The mean with the outlier is: 115
(112+ 118 + 120 +67 + 128 + 119 + 121 + 124 + 126) ÷ 9
The mean without he outlier is: 121
(112+ 118 + 120 + 128 + 119 + 121 + 124 + 126) ÷ 8
So, 121 - 115 = 6
Answer:
Step-by-step explanation:
Justin did push-ups every weekday this week. He did 888 push-ups on Monday, 14 push-ups on Tuesday, 18 push-ups on Wednesday, 6 push-ups on Thursday, and 8 push-ups on Friday.
Find the mean number of push-ups.
Final answer:
To calculate the mean number of push-ups Justin did each weekday, add up the total push-ups for the week and divide by 5. Justin did a mean of 186.8 push-ups per day.
Explanation:
To find the mean number of push-ups Justin did each weekday, we need to add the number of push-ups he did each day and then divide by the number of days. The steps are:
Add the number of push-ups from Monday to Friday: 888 + 14 + 18 + 6 + 8.Calculate the sum: 888 + 14 + 18 + 6 + 8 = 934 push-ups.Divide the sum by the number of days (5 weekdays): 934 ÷ 5.Calculate the mean: 934 ÷ 5 = 186.8 push-ups.Therefore, the mean number of push-ups Justin did on a weekday is 186.8 push-ups.
Final answer:
The mean number of push-ups Justin did each weekday is calculated by adding the total push-ups for all the days and dividing by the number of days, resulting in 186.8 push-ups.
Explanation:
To find the mean number of push-ups, Justin did over the weekdays, you need to sum up the total push-ups and then divide by the number of days.
Add the number of push-ups for each day: 888 (Monday) + 14 (Tuesday) + 18 (Wednesday) + 6 (Thursday) + 8 (Friday) = 934 push-ups in total.
Divide the total number of push-ups by the number of days: 934 ÷ 5 days = 186.8 push-ups.
Therefore, the mean number of push-ups Justin did each weekday is 186.8 push-ups.
A random sample of 240 adults over the age of 40 found that 144 would use an online dating service. Another random sample of 234 adults age 40 and under showed that 131 would use an online dating service. Assuming all conditions are met, which of the following is the standard error for a 90 percent confidence interval to estimate the difference between the population proportions of adults within each age group who would use an online dating service?A) 1.44240 B) 1.65144240 C) 1.96144240 D) 2.75474 E) 1.65275474
The options at the end of the question are not typed properly, the correct options are given below.
A. √[144/240(1−144/240)/240] + [131/234(1−131/234)/234]
B. 1.65√[144/240(1−144/240)/240] + [131/234(1−131/234)/234]
C. 1.96√[144/240(1−144/240)/240] + [131/234(1−131/234)/234]
D. √[275/474(1−275/474)/474] + [275/474(1−275/474)/474]
E. 1.65√[275/474(1−275/474)/474] + [275/474(1−275/474)/474]
Given Information:
Confidence interval = 90%
Sample size of adults over the age of 40 = n₁ = 240
Sample size of adults under the age of 40 = n₂ = 234
Number of adults over the age of 40 who would use an online dating service = 144
Number of adults under the age of 40 who would use an online dating service = 131
Required Information:
standard error = ?
Answer:
standard error = 0.075
Step-by-step explanation:
The population proportion of adults over the age of 40 who would use an online dating service is,
p₁ = 144/240
p₁ = 0.6
The population proportion of adults under the age of 40 who would use an online dating service is,
p₂ = 131/234
p₂ = 0.56
The Standard Error is given by
SE = z*√(p₁(1 - p₁)/n₁ + p₂(1 - p₂)/n₂)
Where z is the corresponding z-score value for the 90% confidence level that is 1.65
SE = 1.65*√(0.6(1 - 0.6)/240 + 0.56(1 - 0.56)/234)
This is the equation corresponding to the correct option B given in the question.
SE = 1.65*0.0453
SE = 0.075
Therefore, 0.075 is the standard error for 90% confidence interval to estimate the difference between the population proportions of adults within each age group who would use an online dating service.
0.075 is the standard error for 90% confidence interval to estimate the difference between the population proportions of adults within each age group who would use an online dating service.
Given that,
Confidence interval = 90%
Sample size of adults over the age of 40 = n₁ = 240
Sample size of adults under the age of 40 = n₂ = 234
Number of adults over the age of 40 who would use an online dating service = 144
Number of adults under the age of 40 who would use an online dating service = 131
We have to determine,
The standard error for a 90 percent confidence interval to estimate the difference between the population proportions of adults within each age group who would use an online dating service.
According to the question,
The population proportion of adults over the age of 40 who would use an online dating service is;
[tex]P_1 = \dfrac{140}{244} = 0.6[/tex]
The population proportion of adults under the age of 40 who would use an online dating service is,
[tex]P_2 = \dfrac{131}{234} = 0.56[/tex]
Therefore, The Standard Error is given by,
[tex]Standard\ error = z \times \sqrt{\dfrac{p_1(1-p_1)}{n_1} + \dfrac{p_2 (1-p_2)}{n_2} } \\\\[/tex]
Putting all the values in the given formula,
[tex]= 1.65 \times \sqrt{\dfrac{0.16(1-0.16)}{240} + \dfrac{0.56(1-0.56)}{234} } \\\\\\= 1.65 \times \sqrt{\dfrac{0.16(0.84)}{240} + \dfrac{0.56 (0.44)}{234} } \\\\\\= 1.65 \times \sqrt{0.00056+0.0010}\\\\= 1.65 \times 0.0453\\\\= 0.075[/tex]
Hence, 0.075 is the standard error for 90% confidence interval to estimate the difference between the population proportions of adults within each age group who would use an online dating service.
To know more about Standard deviation click the link given below.
https://brainly.com/question/11034287
What happens if 0 is one of the coordinates?
Answer:
Its is just 0
Step-by-step explanation:
Answer:
Then it would be on a line
Step-by-step explanation:
through: (4, -2), parallel to y = - 3/4x - 4
Answer:
y = -3/4x +1
Step-by-step explanation:
Parallel lines have the same slope, so the slope of the line you want is -3/4. The point-slope form of the equation of a line is useful when you have this information:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -(-2) = -3/4(x -4)
If you want slope-intercept form, you can rearrange this ...
y +2 = -3/4x +3
y = -3/4x +1 . . . . . . subtract 2 from both sides