in 1955, life magazine reported that a 25-year-old mother of three worked, on average, an 80 hour week. recently, many groups have been studying whether or not the women's movement has, in fact, resulted in an increase in the average work week for women (combining employment and at-home work). suppose a study was done to determine if the mean work week has increased. 73 women were surveyed with the following results. the sample mean was 83; the sample standard deviation was 10. does it appear that the mean work week has increased for women at the 5% level? note: if you are using a student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (in general, you must first prove that assumption, though.)
Answers
Yes, the average female workweek seems to have increased by 5%.
We know that Life magazine reported in 1955 that a 25-year-old mother of three worked an average of 80 hours a week.
Suppose a study is conducted to determine if the average number of weekly hours worked has increased. A survey of 75 women was conducted and the results are as follows. The sample mean is 83; the sample standard deviation is 10.
Let μ = mean weekly working hours of female population
SO, Null hypothesis:
H₀: μ ≤ 80 hours per week {meaning no increase in mean weekly working hours of females}
Alternative hypothesis:
H₀: μ >80 hours per week {meaning average weekly work hours increase}
The test statistic that will be used here is the one-sample t-test statistic since we don't know the population standard deviation;
T.S = X- μ ÷ σ/√n ~ tₙ-1
Where:
true, = sample mean work week = 83
s = sample standard deviation = 10
n = female sample = 75
So test statistic = 83-80÷ 10/√75 ~ t₇₄
= 2.598
Now at level 5 It is important to note that the t-table is unique at 74 degrees of freedom. The tail test gave a critical value of 1.668.
Since our test statistic is greater than the critical value for t of 2.598 > 1.668, we have enough evidence to reject our null hypothesis as the test statistic would fall into the rejection region.
We therefore conclude that the average workweek for women has increased by 5%.
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Related Questions
solve for the measure of x in the drawing shown below
Answers
Answer:
50
Step-by-step explanation:
x° = 1/2 * 100°
x° = 50°
x = 50
What is the area of the triangle shown below
Answers
Answer:
48
Step-by-step explanation:
You start by creating an imaginary line down the middle and give that the variable x:
From there you have two separate triangles with the sides: 10, 6, and x.
You can then you the pythagorian theorum, A^2 + B^2 = C^2, to find x.
By plugging doing so you find out that x is 8.
You then have all the values necessary to find the area of the triangle using the formula A=1/2bh:
A=(1/2)(12)(8)
A=(6)(8)
A=48
HELP ME ASAP!!! PLS!!
The Chu family can hike 3 miles per hour. How long will it take them to hike 15 miles?
A- 3.75 hours
B- 4 hours
C- 4.5 hours
D- 5 hours
Answers
Answer:
D- 5hrs
Step-by-step explanation:
If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.
Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours
Answer:
D. 5 hours
Step-by-step explanation:
3 miles per 1 hour so 3/1
15 miles per x hours so 15/x
3/1 = 15/x or 3 = 15/x
get x by itself so
3 divided by 3 and 15 divided by 3
x = 5 hours
Suppose y = – 3x2 – 15x – 11 was written in the form y = a(x – h)2 + k.
What is the value of a?
a) = -5
b) a= -3
c) a = 5
d) a = -11
Answers
Answer:
b) -3
Step-by-step explanation:
You want the value of 'a' when the quadratic y = –3x² – 15x – 11 is written in the form y = a(x – h)² + k.
Leading coefficientThe leading coefficient in either form is the coefficient of x². It is the same in both forms: -3.
does the vector u belong to the null space of the matrix a?
Answers
To determine if vector u belongs to the null space of matrix A, we need to perform matrix-vector multiplication between A and u. The null space of a matrix consists of all vectors that, when multiplied by the matrix, result in the zero vector. If A * u = 0, where 0 is the zero vector, then u belongs to the null space of matrix A.
To answer your question, we first need to understand what the null space of a matrix is. The null space of a matrix A, denoted as null(A), is the set of all vectors x such that Ax = 0. In other words, the null space of a matrix is the set of solutions to the homogeneous equation Ax = 0.
Now, if we want to know whether a vector u belongs to the null space of a matrix A, we need to check whether Au = 0. If Au = 0, then u belongs to the null space of A.
So, to answer your question, we need to check whether Au = 0. If it does, then u belongs to the null space of A. If it doesn't, then u does not belong to the null space of A.
The null space of a matrix is an important concept in linear algebra because it helps us understand the behavior of linear transformations and the properties of matrices. The null space is also closely related to the rank of a matrix, which is the dimension of the column space of the matrix. The rank-nullity theorem states that the rank of a matrix plus the dimension of its null space equals the number of columns in the matrix. This theorem is a fundamental result in linear algebra and has many important applications in fields such as engineering, physics, and computer science.
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Can somebody help me? Thank you.
Answers
Answer:
C. Supplementary Angles
One way to remember that is that C is the top half of S and Complementary Angles =90 and Supplementary angles =180. 90 is one half of 90
Two long straight wires are parallel and carry current in the same direction. The currents are 8.0A and 12A and the wires are separated by 0.40cm. The magnetic field in tesla at a point midway between the wires is: (a) 0 (b) 4.0 x 10-4 (c) 8.0 x 10-4 (d) 12 x 10-4 (e) 20 x 10-4
Answers
The magnetic field in tesla at a point midway between the wires is (e) 20 x 10^(-4).
To find the magnetic field at a point midway between two parallel wires carrying currents, we can use Ampere's Law.
Ampere's Law states that the magnetic field around a closed loop is directly proportional to the current passing through the loop. In the case of two parallel wires, the magnetic field at a point between them is the sum of the magnetic fields generated by each wire.
The formula for the magnetic field due to a straight wire is given by:
B = (μ₀ * I) / (2π * r)
Where:
B is the magnetic field,
μ₀ is the permeability of free space (4π × 10^(-7) T*m/A),
I is the current, and
r is the distance from the wire.
For the wire carrying a current of 8.0A, the magnetic field at the midpoint between the wires is:
B₁ = (4π × 10^(-7) * 8.0) / (2π * 0.002)
= 2 × 10^(-4) T
For the wire carrying a current of 12A, the magnetic field at the midpoint between the wires is:
B₂ = (4π × 10^(-7) * 12) / (2π * 0.002)
= 3 × 10^(-4) T
To find the total magnetic field at the midpoint, we sum the magnetic fields due to each wire:
B_total = B₁ + B₂
= 2 × 10^(-4) T + 3 × 10^(-4) T
= 5 × 10^(-4) T
Therefore, the magnetic field at a point midway between the wires is 5 × 10^(-4) T.
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standard deck of 525252 cards contains 444 suits: hearts, clubs, diamonds, and spades. Each suit consists of cards numbered 222 through 101010, a jack, a queen, a king, and an ace.
Bashir decides to pick one card at random from a standard deck of 525252 cards. Let FFF be the event that he chooses a face card (a jack, queen, or king of any suit) and SSS be the event that he chooses a spade.
What is P(F\text{ or }S)P(F or S)P, left parenthesis, F, start text, space, o, r, space, end text, S, right parenthesis, the probability that the card Bashir chooses is either a face card or a spade?
Answers
Answer:
0.4231 or 42.31%
Step-by-step explanation:
In a standard 52 card deck there are 13 spade cards (52/4) and there are 12 face cards (4 suits x 3 face cards). Moreover, 3 cards are both face and spade cards.
Therefore, the probability that the card Bashir chooses is either a face card or a spade is given by:
\(P(F\ or\ S)=P(F)+P(S)-P(F\ and\ S)\\P(F\ or\ S)=\frac{13}{52} +\frac{12}{52} -\frac{3}{52}\\P(F\ or\ S)=0.4231\)
The probability is 0.4231 or 42.31%
Answer:
got it on kahn trust
Step-by-step explanation:
At 8:00 a.m., there were t inches of snow on the ground. At 5:00 p.m., there were 3t inches of snow on the ground. How many more inches of snow were on the ground at 5:00 p.m. than at 8:00 a.m. if there were 12 inches of snow on the ground at 5:00 p.m.?
Answers
we conclude that at 5:00 p.m. there are 8 more inches of snow than at 8:00 a.m.
How many more inches of snow were on the ground at 5:00 p.m. than at 8:00 a.m.?We know that at 8:00 a.m. there were t inches of snow in the ground.
At 5:00 p.m. there were 3t inches of snow in the ground.
Then the difference between the heights of the snow is:
3t- t = 2t
And we know that at 5:00 p.m. there were 12 inches of snow then we can solve the linear equation for t:
3t = 12in
t = (12in)/3 = 4 in
Replacing that in the difference of heights:
2t = 2*4in = 8in
From this, we conclude that at 5:00 p.m. there are 8 more inches of snow than at 8:00 a.m.
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The total weight of three bean bags is 6.8 kg. Bag A weighs 1.5 kg more than Bag B. Bag C weighs 500 g more than Bag A. Calculate the weight of Bag B (will give brainliest and 50 points
Answers
Answer: 1.6 kg
Step-by-step explanation:
Let the weight of bag B in kg be B.
Then, Bag A weights B+1.5 and bag C weighs B+0.5.
\(B+1.5+B+0.5+B=6.8\\\\3B+2=6.8\\ \\ 3B=4.8\\\\B=1.6\)
-8x < 32
Do what on both sides and change or keep the inequality sign?
See picture please
Answers
The required solution of the given inequality is given as x > 4, and the answer for the blanks is to Divide both sides by -8 and change the inequality sign.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Given inequality,
-8x < 32
Divide both sides by -8
x > 4
The sign of the inequality change because multiplication with the negative value changes the inequality sign and the higher negative value is the least value.
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Find the slope of the line through each pair of points.
11) (-20, -4), (-12, -10)
Answers
Answer:
slope= -6/8 or -3/4
Step-by-step explanation:
(-10-(-4)/(-12-(-20)= -6/8
Alonso brings \$21$21dollar sign, 21 to the market to buy eggs and avocados. He gets eggs that cost \$2.50$2.50dollar sign, 2, point, 50. Then, he notices that the store only sells avocados in bags of 333 for \$5$5dollar sign, 5. He wants to buy as many avocados as he can with his remaining money.
How do u get 3 bags of avacodes or 9 avacadoes ??
Answers
Based on Alonso's budget, he can get 3.7 bags of avocados and the cost of 3 bags of avacodes or 9 avacadoes is $15.
EquationAmount Alonso brings to the market = $21Cost of an egg = $2.50Cost of avocados in bags of 3 = $5Number of avocados bought = x21 = 2.50 + 5x
21 - 2.50 = 5x
18.50 = 5x
x = 18.50 / 5
x = 3.7 bags of avocados
To get 3 bags of avocados or 9 avocados
= $5 × 3
= $15
Therefore, Alonso can get 3.7 bags of avocados and the cost of 3 bags of avacodes or 9 avacadoes is $15.
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The ratio of red marbles to blue marbles in a bag is 3:4 . if there are 42 marbles in the bag, how many are red ?
Answers
Answer:
hope it helped you
Step-by-step explanation:
in image
3+4=7
42/7=6
6 x 3 =18
There are 18 red marbles.
Find the sum of the arithmetic sequence: 65, 54, 43, 32, ...-89.
А 1155
B -360
C -180. D -12
Answers
Answer:
C) -180
Step-by-step explanation:
65 + 54 + 43 + 32 + 21 + 10 - 1 - 12 - 23 - 34 - 45 - 56 - 67 - 78 - 89 = -180. Hope this helps!
A nurse is caring for an infant who has gastroesophageal reflux. Which of the following findings are associated with this condition? (Select all that apply.)
a) rigid abdomen
b) wheezing
c) vomiting
d) weight loss
e) pallor
Answers
The correct answers are: c) vomiting and d) weight loss. Gastroesophageal reflux can cause frequent vomiting, which can lead to weight loss in infants.
A nurse caring for an infant with gastroesophageal reflux may observe the following findings associated with this condition:
b) wheezing
c) vomiting
d) weight loss
Infants and children diagnosed with gastroesophageal reflux should not sit or lie down immediately after a meal; patients will be advised to lie face down for at least the first hour after a meal; Sleeping in this position has been shown to reduce the frequency of gastroesophageal reflux. Expressed milk can be thickened as described, in addition to increasing the frequency of feedings; in addition, early teaching (at three (3) months) to eat rice can be attempted; small meals are also recommended; oily and spicy. foods that promote postprandial reflux by increasing gastric emptying and slowing digestion; Chocolate, mint, tomato, citrus fruits, and caffeine should be avoided, which lowers LES pressure.
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(30 points) please help! Point B is between A and C. AB = 2x + 1 and BC = 3x. If the measure of AC is 41, what is the value of x?
Answers
Answer:
x=8
Step-by-step explanation:
just do 5x+ 1 =41 solve and your done
Answer:
x=8
Step-by-step explanation:
I took a quiz with this question and got it right
Which inequality is a true statement?
Select each correct answer.
−5≤−7
−5>−7
−5<−7
−5=−7
−5≥−7
PLZZ HELP
Answers
Answer It's A, B, C, and F. Or 1, 2, 3, 5
Step-by-step explanation:
To have a true Inequality there has to be a relation between the 2 sides, meaning there is a greater than or less that sign.
Find the equation of the line that is perpendicular to y = 2x + 8 and passes though the point (8. -8).
-)
A)
yo žx - 4
y=-3x - 4
B)
y = 2x - 12
D)
y - 2x - 12
Answers
Answer:
y=2x-24
Step-by-step explanation:
y--8=2(x-8)
y+8=2x-16
y=2x-24
I need help with these questions. Thanks!
Answers
Answer:
47.27°44.22°Step-by-step explanation:
Q1)The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(x) = 57/84
The inverse function is used to find the angle.
x = arccos(57/84)
x ≈ 47.27°
__
Q2)The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(x) = 53/76
The inverse function is used to find the angle.
x = arcsin(53/76)
x ≈ 44.22°
Please help asap thanks
Answers
there are 22 boys and 15 girls in a class. Find the percentage of the girls in the class
Answers
15 girls/ 37 *100
=40 %
Answer:
40.54 %
Step-by-step explanation:
Boys ⇒ 22
Girls ⇒ 15
The whole number of students in the class ⇒ 22 + 15
⇒ 37
Percentage ⇒ \(\frac{number\:\:of\:\:girls}{Whole\:\:number\:\:of \:\:students}\) × 100 %
⇒ \(\frac{15}{37}\) × 100 %
⇒ \(\frac{1500}{37}\)
⇒ 40.54%
Hope this helps you.
Let me know if you have any other questions :-)
What is the inverse of the function f(x) = 2x + 1?
CO
1
h(x) =
Ex-
1
h(x) =
Y+
h(x) =
h(x) =
3x + 2
Save and Exit
Answers
Answer:
I am hoping for this to be correct
Solve for w: 7w≤ -42
Answers
Answer:
w≤−6
Step-by-step explanation:
Yur welcome :)
Answer:
w is less than or equal to -6.
Step-by-step explanation:
A ?is a relation that has exactly one element in its ?for every value in its ?
Answers
How fast does Santa's sleigh travel how fast would Santa have to travel to get to every house in the UK in m/s the average distance between houses in the UK is 50m and there are 25 million homes he manages this in 12 hours
Answers
Answer:
First of all he goes throughout the whole WORLD so UK would take an average of 30 an hour. Santa would travel an approx. of 650 mph per second
Step-by-step explanation:
78 miles per household, a total trip of 75-1/2 million miles, not counting stops to do what most of us must do at least once every 31 hours, plus feeding and etc. This means that Santa's sleigh is moving at 650 miles per second, 3,000 times the speed of sound.
the orginal price of a computer game is 45$ the price marked down by 18$ what precent of the original price is the markdown
Answers
Answer: 40%
Step-by-step explanation:
A diesel generator which has been constructed after 2000 is emitting a sound pressure of 800 µBar. What is the noise produced by generator in dB at 1 m from the source?
Answers
The noise produced by a diesel generator can be determined using the formula for sound pressure level (SPL) in decibels (dB). The formula is: SPL (dB) = 20 log10 (P / Pref), Where: SPL is the sound pressure level in decibels, P is the sound pressure in pascals (Pa), Pref is the reference sound pressure, which is generally set to 20 µPa (micropascals)
In this case, we are given the sound pressure of the diesel generator, which is 800 µBar. However, we need to convert this value from µBar to pascals (Pa) in order to use the formula. To convert µBar to pascals, we can use the conversion factor: 1 µBar = 0.1 Pa. Therefore, the sound pressure in pascals is 800 µBar * 0.1 = 80 Pa. Now we can calculate the sound pressure level (SPL) in decibels (dB) using the formula mentioned above: SPL (dB) = 20 log10 (80 / 20 µPa). Simplifying this calculation: The ratio of the sound pressure (80 Pa) to the reference sound pressure (20 µPa) is 80 / 20 = 4. Taking the logarithm base 10 of this ratio, we find that log10(4) is approximately 0.602. Multiplying this value by 20, we get 0.602 * 20 ≈ 12.04.
Therefore, the noise produced by the diesel generator at a distance of 1 meter from the source is approximately 12.04 dB.
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What is the square of √ 1?
Answers
The square of given expression √1 ( square root of 1 ) is equal to 1.
As given in the question,
Given expression is equal to √1 ( square root of 1 )
To calculate the square of √1 we have,
Let us consider variable x is equal to √1
x = √1
Now take square on both the sides of the given expression we get,
x² = (√1 )²
⇒ x² = √1 × √1
Multiplying square root of 1 to square root of 1 is equal to 1 we get,
or use law of exponent :
√1 × √1 = \(1^{\frac{1}{2} + \frac{1}{2} }\)
= 1
⇒ x² = 1
Therefore, the square of the given expression √1 ( square root of 1 )is equal to 1.
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twenty three less than sum of forty nine and thirty seven what is the answer?
Answers
Answer:
63.
Step-by-step explanation:
49 plus 37 is 86. subtract that by 23 and you get 63.