If 10^x = 5, what is x?
Answer:
x=0.69897009
Step-by-step explanation:
expand by logarithms
10^x=5
=log(10^x)=log(5)
=x log(10)=log (5)
log base 10 of 10 is 1
x.l =log(5)
multiple bothside by 1
x=log(5)
x=0.6989709
The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied).
Probability
Job Satisfaction Score IS Senior Executives IS Middle Managers
1 0.05 0.04
2 0.09 0.10
3 0.03 0.12
4 0.44 0.45
5 0.39 0.29
1. What is the expected value of the job satisfaction score for senior executives (to 2 decimals)?
2. What is the expected value of the job satisfaction score for middle managers (to 2 decimals)?
3. Compute the variance of job satisfaction scores for executives and middle managers (to 2 decimals).
4. Compute the standard deviation of job satisfaction scores for both probability distributions (to 2 decimals).
5. What comparison can you make about the job satisfaction of senior executives and middle managers?
Answer:
1.)E₁ = 4,03
2) E₂ = 3,85
3) σ₁² = 1,23
4)σ₂² = 1,14
5)σ₁ = 1,11
6)σ₂ = 1,07
5 ) Distribution of senior executive and Middle Manager look pretty similar , diference in median 0,18 and difference in standard deviation 0,04
Step-by-step explanation:
1.-Expected value of the job satisfaction score for senior executive
E₁, variance σ₁ and standard deviation σ₁ and expected value of the job satisfaction score for Middle Manager E₂ variance σ₂ and standard deviation σ₂
E(X) = ∑ ( xi *f(xi)
JSS IS senior executive IS Middle Managers
1 0,05 0,04
2 0,09 0,1
3 0,03 0,12
4 0,44 0,45
5 0,39 0,29
∑ xi*f(xi) = 1*0,05 + 2 *0,09 + 3*0,03 + 4 * 0,44 + 5 * 0,39
E₁ = 0,05 + 0,18 + 0,09 + 1,76 + 1,95
1.)E₁ = 4,03
2.) ∑ xi*f(xi)
E₂ = 1* 0,04 + 2 * 0,1 + 3*0,12 + 4*0,45 +5*0,29
E₂ = 0,04 + 0,2 + 0,36 + 1,8 + 1,45
E₂ = 3,85
2 ) E₂ = 3,85
3) Variance of job satisfaction scores for senior executives.
x² f(x) x²* f(x)
1 0,05 0,05
4 0,09 0,36
9 0,03 0,27
16 0,44 7,04
25 0,39 9,75
σ₁² = [ ∑ x²*f(x) ] - μ² ∑ x²*f(x) = 17,47
In this case μ = E μ² = ( 4,03)² = 16,24
For senior executives: σ₁² = 17,47 - 16,24 = 1,23
σ₁² = 1,23
And standard deviation σ₁ = 1,11
For Middle managers
x² f(x) x²* f(x)
1 0,04 0,04
4 0,1 0,4
9 0,12 1,08
16 0,45 7,2
25 0,29 7,25
∑ x²*f(x) = 15,97
σ₂² = 15,97 - (3,85)² = 15,97 - 14,82
σ₂² = 1,14
σ₂ = √1,14 = 1,07
5 ) Distribution of senior executive and Middle Manager look pretty similar , diference in median 0,18 and difference in standard deviation 0,04
Find Y
Special right triangles
Please last question of the day!! Due very soon
Answer:
y= root 2 kilometers
Step-by-step explanation:
[tex] \frac{2 \sqrt{2} }{2} = \sqrt{2} [/tex]
( NO LINKS ) If x=7, is this equation true? 7 + 9x > 73 *
A. Yes
B. No
Answer:
[tex]\huge\mathfrak\red{Answer} \\ \\ 7 + 9x > 73 \\ \\ x = 7 \: \: \: \: \: \: given \\ \\ 7 + (9 \times 7) > 73 \\ \\ 7 + 63 > 73 \\ \\ 70 > 73 \\ \\ but \: 70 \: is \: not \: grater \: \: than73 \\ \\ so \: this \: equation \: is \: not \: true \\ \\ \huge\mathfrak\purple{Answer = no} \\ \\ \small\mathfrak\red{hope \: it \: helps...}[/tex]
Helpp!! Solve the system by graphing.
67. The line contains the point (4,0) and is parallel
to the line defined by 3x = 2y.
Answer:
[tex]y=\frac{3}{2} x-6[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form:[tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines will always have the same slope but different y-intercepts.1) Determine the slope of the parallel line
Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.
[tex]3x = 2y[/tex]
Switch the sides
[tex]2y=3x[/tex]
Divide both sides by 2 to isolate y
[tex]\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x[/tex]
Now that this equation is in slope-intercept form, we can easily identify that [tex]\frac{3}{2}[/tex] is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope [tex]\frac{3}{2}[/tex] . Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{3}{2} x+b[/tex]
2) Determine the y-intercept
[tex]y=\frac{3}{2} x+b[/tex]
Plug in the given point, (4,0)
[tex]0=\frac{3}{2} (4)+b\\0=6+b[/tex]
Subtract both sides by 6
[tex]0-6=6+b-6\\-6=b[/tex]
Therefore, -6 is the y-intercept of the line. Plug this into [tex]y=\frac{3}{2} x+b[/tex] as b:
[tex]y=\frac{3}{2} x-6[/tex]
I hope this helps!
An item costs $380 before tax and the sales tax is $15.20 find the sales tax rate write your answer as a percentage
Shana wants to buy a music player. She has $100 cash.
Can Shana afford an $89 unit plus HST? Yes or No?
Provide an estimate or a calculation to support your answer=
What is the original price of the most expensive item
Shana can buy for $100?
Pls help fractions pls and sm else
Answer:
Step-by-step explanation:
(49/72)-(13/14)
-125/504
Help me plz help me hep
Answer:
square root of 819 or 28.6
Step-by-step explanation:
Round 0.2275 to the nearest hundredth
Answer:
0.23 is the answer
I wish you luck in your assignments.
There are 3 red chips and 5 white chips in a bag. If 2 chips are drawn, without replacement, what is the probability that both chips will be white?
Answer: 5/14
Step-by-step explanation:
5 white / 8 total
4 white / 7 total
5/8 * 4/7 = 20/56 = 5/14
A sporting goods factory produced 13,234 tennis balls per month.How many tennis balls does it produce during 12 months?
Answer:
158,808 !
Step-by-step explanation:
13,234 × m (months)
13,234 × 12
= 158,808
PLEASE HELP ME WITH THESE!!!
9514 1404 393
Answer:
∠4 = 120°∠5 = 80°Step-by-step explanation:
Angle 5 is the third angle of the triangle whose other two angles are 45° and 55°. So, its measure is ...
∠5 = 180° -45° -55°
∠5 = 80°
__
This figure cannot be solved for angle 4 unless we assume the horizontal lines are parallel. Using the angle numbers as vertex designators, angle 245 and the one marked 45° are alternate interior angles, so are congruent. Angle 4 is vertical with the angle that is the sum of angle 245 and 75°, so we have ...
∠4 = 75° +45°
∠4 = 120°
-15 POINTS-
What’s the length of GH
The function h(t) = - 16t2 + 48t + 160 can be used to model the height, in feet, of an object t
seconds after it is launched from the top of a building that is 160 feet tall.
Two other forms of the function are:
h(t) = -16(t - 5)(t+2)
h(t) = -16(t-1.5)2 +196
Which value of the function represents the maximum height of the object?
A h(0)
B. h(1.5)
C. h(2)
D. h(5)
Answer:
answer is c because you have to put in the 2 and get -16
As you probably know, there is still a difference in wages for men vs. women in this country. Besides straight-up
discrimination and bias (which has been lessening over the decades), people point to many other factors that continue
to keep the average amount earned by a full-time, year-round female employee lower than males, on average (like
women taking more time off for maternity than men do for paternity, career selection, etc.).
Every ten years as part of the census, data is collected that gives the median income of "full-time year-round workers."
In 2010 the median income of FTYR workers was $42,800 for men, compared to $34,700 for women. In 1960, if you
adjust the wages to 2009 dollars, wages were $38,907 for men and $23,606 for women.
Based on this data, when might we predict women's wages might catch up to men's? Show all work you did to get
your answer. AND NO LINKS TO FILES OR ANYTHING LIKE THAT.
9514 1404 393
Answer:
year 2066
Step-by-step explanation:
In order to do this, we need to make some assumptions. We'll assume that the 2010 wages are also in 2009 dollars. (If not, there's an inflation factor that needs to be accounted for.) We also need to assume the form of the change in wages over time. The simplest assumption there is that wages change linearly.
Then we can write equations for men's and women's wages as follows:
Using the 2-point form of the equation for a line, we have ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
Men's wages
y = (42800 -38907)/(2010-1960)(x -1960) +38907
y = 77.86(x -1960) +38907
y = 77.86x -113,698.6 . . . . . where x is the year
Women's wages
y = (34700 -23606)/(2010 -1960)(x -1960) +23606
y = 221.88x -411,278
These values are equal when ...
77.86x -113,698.6 = 221.88x -411,278
297,580.2 = 144.02x . . . . . . . add 411278 -77.86x
2066.2 = x . . . . . . . divide by the coefficient of x
Based on this data we predict women's wages might catch up to men's in the year 2066, about 56 years from 2010.
_____
Alternate solution
In the 50 years from 1960 to 2010, the fraction of men's wages that women receive has increased from 23606/38907 ≈ 0.606729 to 34700/42800 ≈ 0.810748. That is a change of about 0.204 of men's wages in 50 years. The remaining fraction of 1-0.810748 = 0.189 might be expected to be wiped out in another (0.189/0.204)(50 years) = 46.4 years. That would be the year 2056.
The different results come from different assumptions. For the second solution, we assumed that the fraction improved linearly. Under the first assumption, that wages improved linearly, the fractional improvement is non-linear, and decreases over time.
_____
Additional comment
The usual assumption regarding things financial is that they change exponentially over time. If we use an exponential model, instead of a linear one, wage parity is reached in about 2046.
how to solve this question
Pls need help!!!! Giving brainliest to the person that gives me the right awnser
Answer:
you only have the answer choices not the question itself
could you please attach the question so i can help?
Add 5+23. Enter your answer below as an improper fraction in lowest
12 10
terms, using the slash (7) as the fraction bar.
Answer: 163/60
Step-by-step explanation:
when adding fractions you have to get to a common denomenator and then add your fractions together
If a city that currently has a population of 1000 triples in size every 8 years, what will the population be in 24 years? Is the population growth modeled by a linear function or an exponential function?
Step-by-step explanation:
I'm pretty sure it's 19200? or maybe im writing is wrong
Answer:
After 24 years population of the city will be 27000.
exponential function.
Step-by-step explanation:
in picture
A recreational area is formed by a rectangular shaped pool and a cement patio surrounding the pool. the pool has a length of 3x-3 meters and a width of 2x+7 meters. The patio extends x meters around to pool, on all sides of the pool. Write a polynomial expression that gives the total area of the recreational area.
The total area of the recreational area can be represented by the polynomial expression 26x² + 57x + 35.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
The area of the rectangular pool is given by its length times its width, so the area of the pool is (3x - 3) meters × (2x + 7) meters = (6x² + x - 21) square meters.
The area of the patio is given by the length of the pool plus twice the extension (x) on each side, times the width of the pool plus twice the extension on each side, so the area of the patio is (3x - 3 + 2x) meters × (2x + 7 + 2x) meters = (5x + 4) × (4x + 14) = 20x² + 56x + 56 square meters.
The total area of the recreational area is the sum of the areas of the pool and the patio, so it can be represented by the polynomial expression:
20x² + 56x + 56 + 6x² + x - 21 = 26x² + 57x + 35
Learn more about the Area of the rectangle here:
brainly.com/question/20693059
#SPJ1
Determine which two numbers come next in the sequence 5,5,10,15,25, __, __
The two numbers that come next in the sequence 5,5,10,15,25, are 40 and 65.
How can the two numbers that come next in the sequence be calculated?To calculate this , You can figure it out by taking the first number, which is 5. However, since the previous number is 0, the sum is 5, and you proceed in the same manner.
5 + 5 = 10
(5 + 10) = 15
(10 + 15) = 25
(15 + 25) = 40
(25 + 40) = 65
Learn more about sequence at:
https://brainly.com/question/6561461
#SPJ1
Whoever answers the previous question after this gets 50 points and brainliest if correct.
Step-by-step explanation:
I said it I knew it I did it I submit for you so I'm the one that is if if you know me.
please explain step by step in full process
questions
Given L || M find the value of unknown angles in each of the following figures
Answer:
x=120°
y=70°
Step-by-step explanation:
solution,
y=70°(alternate angles)
x=120°(corresponding angles)
Pat was shopping and found a jacket with the original price of $120 on sale for $9.99. What was the percent decrease in the cost?
Answer:
91.675% decrease
Step-by-step explanation:
I need help with this
Answer:
p = 0.11 (rounded to 2 DP)
p = 0.111 (rounded to 3DP)
Step-by-step explanation:
p = 0.48³
p = 0.110592
Rounded to 2 DP
p = 0.11
Rounded to 3DP
p = 0.111
Theorem 6.1A states that if a quadrilateral is a Parallelogram, then it’s opposite sides are
Answer:
congruent
Step-by-step explanation:
help pls the question is in the picture
Answer:
[tex]\neq \neq \lim_{n \to \infty} a_n \lim_{n \to \infty} a_n \geq x^{2} x^{2} \sqrt{x} \frac{x}{y} x_{123} x_{123}[/tex]
Step-by-step explanation:
yeah
21. Find the volume of the water in the container in liters. (1 liter = 1000 cm3)
The volume of the water is
____ liters.
Answer:
volume of water in the container
30×10×8
2400cm³=2400ml=2.4liters
( since water is filled up to a height of 8 cm )
Solution :[tex] \large\boxed{ \mathrm{volume = l \times b \times h}} [/tex]
[tex]30 \times 10 \times 8[/tex][tex]\mathrm{2400 \: cm {}^{3} }[/tex]_____________________________
Since, 1000 cm³ = 1 litre
[tex]\mathrm{1 \: cm {}^{3} = \dfrac{1}{1000} }l[/tex][tex]\mathrm{2400 \: cm {}^{3} = \dfrac{1}{1000} \times 2400 } \: l[/tex][tex]\mathrm{2400 \: cm {}^{3} =2.4 \: \: litres} [/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]