Answer:
0.2390Step-by-step explanation:
Given
Total applicants = 431Applicants with graduate degree and over 5 years of experience = 103Probability = favorable outcomes/total outcomes
Required probability
103/431 = 0.2390 rounded to 4 decimal placesCan someone help
Me Plis
5/7=20/r
R=28
Can anyone explain how you get 28
Answer:
Step-by-step explanation:
we are given that these two fractions are equal. however, 20/r is just given in numerators and denominators that are four times as large, even though it is still equal to 5/7. we can tell this because 20 is 4 times larger than 5, which means that R must be 4 times larger than 7, right? YES. so we take 7*4 to get 28.
Item2 10 points eBookPrintReferences Check my work Check My Work button is now enabledItem 2Item 2 10 points In an article in the Journal of Advertising, Weinberger and Spotts compare the use of humor in television ads in the United States and the United Kingdom. They found that a substantially greater percentage of U.K. ads use humor. (a) Suppose that a random sample of 400 television ads in the United Kingdom reveals that 142 of these ads use humor. Find a point estimate of and a 95 percent confidence interval for the proportion of all U.K. television ads that use humor. (Round your answers to 3 decimal places.) (b) Suppose a random sample of 500 television ads in the United States reveals that 122 of these ads use humor. Find a point estimate of and a 95 percent confidence interval for the proportion of all U.S. television ads that use humor. (Round your answers to 3 decimal places.) (c) Do the confidence intervals you computed in parts a and b suggest that a greater percentage of U.K. ads use humor? Next Visit question mapQuestion 2 of 4 Total2 of 4 Prev
Answer:
a
point estimate is [tex]\r p = 0.355[/tex] i.e 35.5 %
confidence interval is [tex]0.3081 < p<0.4019[/tex]
b
point estimate is [tex]\r p = 0.244[/tex] i.e 24.4 %
confidence interval [tex]0.2064 < p<0.2816[/tex]
c
The confidence intervals you computed in parts a and b does not suggest that a greater number of U.K. ads use humor
Step-by-step explanation:
Considering the first question
The sample size is n = 400
The number of ads that use humor is k = 142
Generally the point estimate is mathematically represented as
[tex]\r p = \frac{k}{n}[/tex]
=> [tex]\r p = \frac{142}{400}[/tex]
=> [tex]\r p = 0.355[/tex]
Given that the confidence level is 95% then the level of significance is
[tex]\alpha =( 100 -95)\%[/tex]
=> [tex]\alpha =5\%[/tex]
=> [tex]\alpha =0.05[/tex]
From the normal distribution table the critical value for [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} } = 1.96[/tex]
Generally the standard error is mathematically represented as
[tex]SE = \sqrt{\frac{\r p(1 - \r p)}{n} }[/tex]
=> [tex]SE = \sqrt{\frac{0.355(1 - 0.355)}{400} }[/tex]
=> [tex]SE = 0.0239[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]
[tex]E = 1.96 * 0.0239[/tex]
[tex]E = 0.0469[/tex]
Generally the 95% confidence interval is
[tex]\r p - E < p < \r p + E[/tex]
=> [tex]0.355 - 0.0469 < 0.355 + 0.0469[/tex]
=> [tex]0.3081 < p<0.4019[/tex]
Considering the second question
The sample size is n = 500
The number of ads that use humor is k = 122
Generally the point estimate is mathematically represented as
[tex]\r p = \frac{k}{n}[/tex]
=> [tex]\r p = \frac{122}{500}[/tex]
=> [tex]\r p = 0.244[/tex]
Generally the standard error is mathematically represented as
[tex]SE = \sqrt{\frac{\r p(1 - \r p)}{n} }[/tex]
=> [tex]SE = \sqrt{\frac{0.244(1 - 0.244)}{500} }[/tex]
=> [tex]SE = 0.0192[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]
[tex]E = 1.96 * 0.0192[/tex]
[tex]E = 0.0376[/tex]
Generally the 95% confidence interval is
[tex]\r p - E < p < \r p + E[/tex]
=> [tex]0.244 - 0.0376 < 0.244 + 0.0376[/tex]
=> [tex]0.2064 < p<0.2816[/tex]
Considering third question
Looking at the confidence interval in a(first question ) and b(second question) we see that the upper limit of both interval is not up to or greater than 0.5 i.e 50% hence the confidence intervals you computed in parts a and b does not suggest that a greater percentage of U.K ads uses humor
4) Dan Ariely and colleagues have conducted some extremely interesting studies on cheating (see, for example Mazar, Amir, & Ariely, 2008). To provide an opportunity for cheating, participants are given a packet of problems and told they will be paid $0.50 for each correct answer. The experiment is setup, however, so that the participant doesn’t have to turn in their work, they simply have to state how many problems they solved to get paid. This provides a prime opportunity to cheat to earn extra money. In previous tests where the problems are properly scored, so no cheating, Ariely and colleagues found that scores are normally distributed: = 3.3, = 1.0. Here is a list of scores for participants who knew that their work would not be checked. Which of these would you suspect of cheating? Why?
I've attached the complete question.
Answer:
Only participant 1 is not cheating while the rest are cheating.
Because only participant 1 has a z-score that falls within the 95% confidence interval.
Step-by-step explanation:
We are given;
Mean; μ = 3.3
Standard deviation; s = 1
Participant 1: X = 4
Participant 2: X = 6
Participant 3: X = 7
Participant 4: X = 0
Z - score for participant 1:
z = (x - μ)/s
z = (4 - 3.3)/1
z = 0.7
Z-score for participant 2;
z = (6 - 3.3)/1
z = 2.7
Z-score for participant 3;
z = (7 - 3.3)/1
z = 3.7
Z-score for participant 4;
z = (0 - 3.3)/1
z = -3.3
Now from tables, the z-score value for confidence interval of 95% is between -1.96 and 1.96
Now, from all the participants z-score only participant 1 has a z-score that falls within the 95% confidence interval.
Thus, only participant 1 is not cheating while the rest are cheating.
What is the factorization of 121b^4 − 49?
Answer:
(11b^2 + 7) (11b^2 - 7)
Explanation:
Since both terms are perfect squares, factor using the difference of squares formula, a^2 - b^2 = (a + b) (a - b) where a = 121b^4 and b = 49
Answer:
D
Step-by-step explanation:
Director: Answer all question by shading all necessary steps
1. Find the exact value of (tan 105°)
I hope this helps you
What is the ratio of the number of steps to the number of minutes?
Answer:
15-20 minutes - 1 mile or 100:1
Step-by-step explanation:
so think about steps per minute if you would walk a whole mile not you but the average sized adult it would be 15-20 minutes based on your size and strength or if you have any possible breathing issues to get steps just google how many steps are in a mile. remember steps to minute not minute to steps.
On a coordinate plane, 2 triangles are shown. The first triangle has points A (1, 4), B (3, 4), C (3, 2). The second triangle has points A prime (negative 4, 1), B prime (negative 4, 3), C prime (negative 2, 3). Triangle ABC was rotated about the origin. Which rule describes the rotation?
Answer:
R0, 90°
Step-by-step explanation:
Answer: For the first one you would describe the rotation as "-x,-y" because you would be rotating it 180 degrees. The second one would be rotating it "180" degrees.
Isaiah is starting his own gardening business. Isaiah thinks he will do a better job than his competitors, so he thinks he can charge $15.50 per hour. If he knows he will only be able to work 35 hours per week, how much money will he earn each week?
Answer:
$542.50
Step-by-step explanation:
Isaiah's weekly earnings will be ...
($15.50 /h)(35 h/wk) = $542.50 /wk
is .333333... rational
Answer:
No.
Step-by-step explanation:
If a decimal repeats forever, it will be irrational.
Hey there!☺
[tex]Answer:\boxed{\text{Rational}}[/tex]
[tex]Explanation:[/tex]
.333333 is rational because any integer, fraction, and a repeating and terminating decimals are rational. So, therefore, .333333 is rational.
Hope this helps!
Which of the following is an even function?
f(x) = (х – 1)2
f(x) = 8x
f(x) = х2 - x
f(x)=7
Answer:
f(x) = 7
Step-by-step explanation:
even functions have all even powers of x
7 = 7x^0
Question 9 of 10
Dilating a triangle changes the angles and side length of the triangle.
O A. True
O B. False
SUBM
The given statement is false.
What is dilation?Dilation is a transformation that changes the size of a figure or an object without changing its shape.
The figure or object and its image after dilation are similar.
The size of the figure or object may increase or decrease based on a number called the scale factor.
Dilation is defined by a point called the center of dilation and the scale factor.
Dilation :-
A dilation does not change the shape of a figure, but it can change the size. Because the size of the figure changes, dilations are not isometries. Because the shape is invariant under a dilation, the original figure and its image are similar. If the proportion is greater than one, the figure will grow.
In reference to a triangle,
They scale distances between points, dilations do not change angles. All lengths of line segments in the plane are scaled by the same factor when we apply a dilation.
Hence, the given statement is false.
Learn more about dilation, click;
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Given b(x) = |x+4| what us b(-10)?
Answer:
6
Step-by-step explanation:
b(x) = |x + 4|
b(-10) = |-10 + 4|
b(-10) = |-6|
b(-10) = 6
Best of Luck!
Circle the vertex of the angle.
Answer: B
Step-by-step explanation:
Find the distance between the points (4,-9) and (-6,-10)
Answer:
The answer is
[tex]\sqrt{101} \: \: \: or \: \: \: 10.05 \: \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(4,-9) and (-6,-10)
The distance between them is
[tex]d = \sqrt{ ({4 + 6})^{2} + ( { - 9 + 10})^{2} } \\ = \sqrt{ {10}^{2} + {1}^{2} } \\ = \sqrt{100 + 1} \: \: \\ = \sqrt{101} \: \: \: \: \: \: \: \: \: \\ = 10.04987...[/tex]
We have the final answer as
[tex] \sqrt{101} \: \: \: or \: \: \: 10.05 \: \: \: \: units[/tex]
Hope this helps you
Maria solved an equation as shown below. 3 (x + 6) = 5 (x minus 4). 3 x + 18 = 5 x minus 20. 38 = 2 x. 19 = x.
Answer:
19
Step-by-step explanation:
The value of the x will be 19. Then Maria solved an equation correctly.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
3(x + 6) = 5(x – 4)
Maria solved an equation as shown below.
3 (x + 6) = 5 (x – 4)
3x + 18 = 5x – 20
38 = 2x
19 = x
x = 19
Then Maria solved an equation correctly.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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calculate the capacity in liters of a tin 20m by 15m by 10m.
The ratio of french fries to packets of ketchup in Philip's bag is 6:1. What does this mean?
Answer:
This means for every packet of ketchup, Phillip has 6 french fries.
Step-by-step explanation:
please help math 30 points
Answer:
5 calories
Step-by-step explanation:
Set up a proportion: [tex]\frac{45}{225} = \frac{1}{x}[/tex] Cross multiply, then divide: 225 × 1 = 1, 225 ÷ 45 = 5x = 5So, Raquel will burn 5 calories in 1 minute.
I hope this helps!
the sum of a number and 2 is 12. determine tbe number
Answer:
10
Step-by-step explanation:
2 + x = 12
Subtract 2 from both sides.
x = 10
~theLocoCoco
A rectangles area and perimeter have the same numerical value. The length of the rectangle is 22 feet. What is the width of the rectangle in feet?
Answer:
its 2,2
Step-by-step explanation:
2.4 is wrong
The width of the rectangle in feet will be 2.2 feet.
What is the rectangle?Let W be the rectangle's width and L its length. Then the area of the rectangle will be
Area of the rectangle = L × W square units
And the perimeter of the rectangle will be
Perimeter = 2(L + W)
A rectangle's area and perimeter have the same numerical value. The length of the rectangle is 22 feet. Then we have
L × W = 2(L + W)
22W = 2(22 + W)
11W = W + 22
10W = 22
W = 2.2 feet
The width of the rectangle in feet will be 2.2 feet.
More about the rectangle link is given below.
https://brainly.com/question/10046743
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After walking for 15 minutes, Zachary’s treadmill displayed “120 calories burned”. At this rate, how many calories will Zachary burn in 65 minutes?
A pancake recipe calls for one egg for every four cups of flour. How many cups of flour do you need for six eggs?
Answer:
24 cups
Step-by-step explanation:
1. 1 egg= 4 cups of flour
Let x = # of eggs, and f = cups of flour
so f=4x
2. f= 4(6)
f =24
So the answer is 24 cups of flour
Answer: mutiply 4 by 6 which is 24
The rate of change in the number of miles of road cleared per hour by a snowplow with respect to the depth of the snow is inversely proportional to the depth of the snow. Given that 20 miles per hour are cleared when the depth of the snow is 2.5 inches and 11 miles per hour are cleared when the depth of the snow is 7 inches, then how many miles of road will be cleared each hour when the depth of the snow is 13 inches
Answer:
5.6 miles
Step-by-step explanation:
From the question, we can infer that this is an inversely proportionality question.
Let us represent Miles per hour = N
Depth of snow = s
Where k is proportionality constant.
dN/ds = k/s
dN = ds .k/s
Integrating this
∫dN = ∫k/s ds
N = k In s + C
Step 1
We find k
From the question, we are told that:
Given that 20 miles per hour are cleared when the depth of the snow is 2.5 inches
11 miles per hour are cleared when the depth of the snow is 7 inches,
20 = k ln 2.5 + C ..... Equation 1
11 = k ln 7 + C...... Equation 2
11 = k ln 7 + 20 - k ln 2.5
Collect like terms
k ln 2.5 - k ln 7 = 20 - 11
k( In 2.5 - In 7) = 9
k = 9/( In 2.5 - In 7)
k = 9/ -1.0296194172
k = -8.7410938932
Step 2
We find C
20 = k ln 2.5 + C ..... Equation 1
C = 20 - k ln 2.5
C = 20 -(-8.7410938932 In 2.5)
C = 20 + 8.7410938932 In 2.5
C = 20 + 8.0093833208
C = 28.0093833208
Step 3
how many miles of road will be cleared each hour when the depth of the snow is 13 inches
N = k In s + C
= -8.7410938932 ln 13 + 28.0093833208
= -22.420463165 + 28.0093833208
= 5.5889201559
Approximately= 5.6 miles
Therefore, 5.6 miles of road will be cleared each hour when the depth of the snow is 13 inches.
1) The cost of constructing a path 5 m broad inside the boundary of a square lawn at Rs 36.25 per sq. metre is Rs 90625. What is the cost of covering the empty space with turfs at the rate of Rs 20 per sq. metre?
Let , side lawn is a.
Area of boundary is :
[tex]A=4\times5\times a\\\\A=20a\ m^2[/tex]
Now, total cost is given by :
[tex]T=20a\times 36.25\\\\90625=725a\\\\a=125\ m[/tex]
Area left is :
[tex]A'=a^2-20a\\\\A'=125^2-20\times 125\ m^2\\\\A'=13125\ m^2[/tex]
Price to empty space with turfs is :
[tex]P=A'\times 20\\\\P=13125\times 20\\\\P=262500[/tex]
Therefore, the cost of covering the empty space with turfs at the rate of Rs 20 per sq. metre is Rs 262500.
Hence, this is the required solution.
A cube-shaped box has a volume
of 125 cubic centimeters. If the box
is packed full of cubes with edge
lengths of 1 centimeter, how many
cubes can fit along one side of the
box?
Answer:
B.5
Step-by-step explanation:
help me please im kind of in a rush
Answer:
B-7^2x2÷b6
Step-by-step explanation:
An awards dinner costs $225 plus $5 for each person making reservations. The total bill is $735. How many people attended the dinner?
Answer:
102 people
Step-by-step explanation:
Hope this helps :-)
dividing signed decimals rules have not changed! Move decimal point to the divisor to the _____ to make it a _____ number, and move the decimal point in the dividend the same amount, then place on top. Divide as normal, use ________ rules to determine sign of quotient.
What is the cost of m apples, if each apple costs $0.20?
Answer:
The cost of M apples is M($0.20).
Explanation:
We don't know how many apples exactly, we only know that it is the quantity of M. Since each apple is $0.20, we can multiply that by M to get the amount of "$0.20's" for M apples.
