Answer:A)The conditional relative frequency among widowed employees of those widowed working at grade 2 or below= 28/42 = 66.67%
Step-by-step explanation:
In a two way frequency table, conditional relative frequency is it’s a fraction that tells us how many elements of of a group have a certain characteristic.
Here In a study about the relationship between marital status and job level, 8,235 males at a large manufacturing firm reported their job grade (from 1 to 4, with 4 being the highest) and their marital status.
from the given two way frequency table,
Number of widowed employees at grade 1 =8
Number of widowed employees at grade 2=20
∴ Number of widowed employees at grade 2 or below=8+20=28
And the total widowed employees working =42
Now the conditional relative frequency among widowed employees of those widowed working at grade 2 or below=[tex]\frac{\text{Number of widowed employees at grade 2 or below}}{\text{Total widowed employees}}=\frac{28}{42}=0.6667=66.67%[/tex]
Therefore, the conditional relative frequency among widowed employees of those widowed working at grade 2 or below= 28/42 = 66.67%
To calculate the conditional relative frequency among widowed employees for those at grade 2 or below, the number of widowed employees at these grades (28) is divided by the total number of widowed employees (42), yielding a frequency of approximately 66.67%. The answer is option A.
The question asks us to find the conditional relative frequency among widowed employees of those working at grade 2 or below at a large manufacturing firm. To find this, we look at the two-way table provided and sum the number of widowed employees in job grades 1 and 2, which gives us
8 + 20 = 28 widowed employees. We then divide this number by the total number of widowed employees to get the conditional relative frequency:
28/42*100 = 66.67%.
Therefore, among widowed employees, approximately 66.67% work at job grade 2 or below. The answer is option A.
Need answers!! Will give 20 pts. !!
Which expressions are polynomials?
please help 20 points!
What is the truth value for the following conditional statement?
1.)
p: true
q: true
p → q
2.)
p: true
q: false
p → q
3.)
p: false
q: false
p → q
4.)
p: true
q: true
∼p → q
The truth value for the following conditional i.e., conjunction statement P is false and Q is true is False.
Answer:
1) True2) False3) True4) TrueStep-by-step explanation:
This conditional statement:
If a its true, then b its true.Has a truth value of true if:
both a and b are true.a its false, besides the truth value of bAnd has a truth value of false, if
a is true and b is falseThen, for this statements:
1. p -> qAs both p and q are true, then, this statement is true.
2. p -> qAs p is true and q is false, this statement is false.
3. p->qAs p is false, this statement is true, no matter the truth value of q.
4. ∼p -> q∼p its the negation of p. if p is true, then ∼p is false. And this statement is true, no matter the truth value of q.
Describe the difference between vertical angles and linear pairs of angles
Vertical angles are opposite each other when two lines intersect and are equal. Linear pairs of angles are adjacent angles that form a straight line and their sum is always 180 degrees. The difference lies both in their position and their angle sum.
Explanation:The main difference between vertical angles and linear pairs of angles derives from their positioning and sums. Vertical angles are angles opposite each other when two lines intersect. Vertical angles are always congruent, meaning they have the same measure.On the other hand, linear pairs of angles are adjacent angles whose non-common sides are opposite rays or in other words, they form a straight line. The sum of a linear pair of angles is always 180 degrees.
So, in sum, the difference lies in their positioning (vertical angles are opposite, linear pair angles are adjacent) and in their sum (vertical angles are equal, linear pair angles sum to 180 degrees).
Learn more about Angles here:https://brainly.com/question/33354646
#SPJ2
Which equation represents y = x^2 − 8x + 5 in vertex form?
A) y = (x − 4)^2 − 9
B) y = (x − 4)^2 + 11
C) y = (x − 4)^2 + 21
D) y = (x − 4)^2 − 11
Answer: D
Step-by-step explanation:
y = x² - 8x + 5
-5 -5
y - 5 = x² - 8x complete the square by adding [tex](\frac{-8}{2})^{2}[/tex] to both sides
y - 5 + 16 = x² - 8x + 16 the right side is a perfect square: (x - 4)²
y + 11 = (x - 4)²
-11 -11
y = (x - 4)² - 11
Jeanine sells a house for 159,000. Her rate of commission is 2.2%. What is her commission on that sale?
Answer:
Her commission on that sale is $3,498
Step-by-step explanation:
1. You have the following information given in the problem above:
- She sells the house for $159,000.
- Her rate of commission is 2.2% (0.022).
2. Therefore, to solve this problem you only need to multiply $159,000 by 2.2% (0.022), as following:
[tex](159,000)(0.022)=3,498[/tex] dollars
Lily wrote the equation n + (-11)=24 find the value of n and explain how you found it
note that +(-) is equivalent to -
thus the equation can be written as
n - 11 = 24 ( add 11 to both sides )
n = 24 + 11 = 35
Joanne is in Miami with her parents. The image shows a thermometer at a restaurant on the beach. What is the temperature on the thermometer?
C. 26 degrees Celsius
Answer:
The temperature on the thermometer is 26°C
Step-by-step explanation:
The image is very clear.
To answer this question you need to know the scale of the thermometer.
As between 20 and 30 there are 5 "spaces" (four lines) , we should divide
10 (the difference between 30 and 20) by 5.
10/5= 2
So each line means 2 °C
As there are 3 lines painted in red after 20, the answer is:
20+3*2= 26°C
What is the solution to the system of linear equations ?
y=7 and x=-3c
Tell me if i got it wrong!
Azul has 4 green picks and no orange picks. You add ornage picks so that there are 2 ornage picks for every 1 green pick. How many picks are there now?
Answer:
12 total picks, 4 green and 8 orange
Step-by-step explanation:
green(g)=4
orange(O)=2g
since g=4,
O=2(4)
O=8
8+4=12
In a math class, the teacher asked the students to find the approximate value of one of the x-coordinates of a point of intersection of two functions: f(x) = 2x2 − 3x + 4 g(x) = 5x − 1 Her students gave her different answers. Which answer is the most accurate? A. 0.8 B. 0.9 C. 1.9 D. 1.1
Set the polynomial equal to each other.
x2 - 2x - 5 = x3 - 2x2 - 5x - 9
Move all the terms to the right side of the equation to make the left side equal to zero.
0 = x3 - 3x2 - 3x - 4
Now we use synthetic division to factor.
4 | 1 -3 -3 -4
4 4 4
___________________________
1 1 1 0
0 = (x - 4)(x2 + x + 1)
Now you can set the factors equal to zero and solve for x. Since the quadratic factor has no real solutions, we ignore and focus on the linear factor. x = 4
Evaluate any of the function when x=4 to get the y-coordinate of the intersection point.
Answer:
The answer is 0.8 so A
Step-by-step explanation:
use the function rule to complete the table
-10x+y=4
the chart is below i coppied it
X= -2, -1, 0, 1, 2
y=is blank so you have to complet the bottom part witch is y.
Choose the number sentence that shows the distributive property of multiplication over addition.
A.
3 × (4 + 5) = (3 × 4) + (3 × 5)
B.
3 × (4 + 5) = (3 + 4) × (3 + 5)
C.
3 × (4 + 5) = (3 × 4) + 5
we know that
distributive property of multiplication over addition:
[tex]a \times (b+c)=a \times b + a \times c[/tex]
now, we will verify each options
option-A:
3 × (4 + 5) = (3 × 4) + (3 × 5)
We can see that both sides match with property
so, this is TRUE
option-B:
3 × (4 + 5) = (3 + 4) × (3 + 5)
We can see that right side does not match with property
so, this is FALSE
option-C:
3 × (4 + 5) = (3 × 4) + 5
We can see that right side does not match with property
so, this is FALSE
Can someone please help me with # 2 #13 thanks show work how it's done, please
Problem 13
10p+10q factors to 10(p+q). If we apply the distributive property, we can distribute the 10 to each term inside (p and q) to get
10(p+q) = (10 times p)+(10 times q) = 10*p + 10*q = 10p+10q
so we get the original expression again. Here 10 is the GCF of the two terms.
--------------------------------------------------------------
Plug p = 1 and q = 2 into the factored form
10*(p+q) = 10*(1+2) = 10*(3) = 30
As a check, let's plug those p,q values into the original expression
10*p+10*q = 10*1+10*2 = 10+20 = 30
We get the same output of 30
please help asap 30 pts
Step 1. Subtract 4y from both sides
5y + 18 - 4y = -3.2
Step 2. Simplify 5y + 1.8 -4y to y + 1.8
y + 1.8 = -3.2
Step 3. Subtract 1.8 from both sides
y = -3.2 - 1.8
Step 4. Simplify -3.2 - 1.8 to -5
y = -5
Your answer is A.
[tex]5y+1.8=4y-3.2\qquad|\text{subtract 1.8 from both sides}\\\\5y=4y-5\qquad|\text{subtract 4y from both sides}\\\\\boxed{y=-5}\to\boxed{a.}[/tex]
What is the numerical coefficient of the a^8*b^2 term in the expansion of ((1/3)a^2 - 3b)^6 ?
Enter your answer in simplest fractional form.
In the binomial development, the main problem is calculation of binomial coefficients.
If we want to get term a∧8*b∧2 we see that this is the third member in binomial development (n 2) a∧n-2*b∧2
The given binomial is ((1/3)a∧2 - 3b)∧6, the first element is (1/3)a∧2, the second element is (-3b) and n=6 when we replace this in the formula we get
(6 2) * ((1/3)a∧2)∧(6-2) * (-3b)2 = (6*5)/2 * ((1/3)a∧2)∧4 *9b∧2= 15*(1/81)*9 *(a∧8b∧2) =
= 15*9* a∧8b∧2 = 135*a∧8b∧2
We finally get numerical coefficient 135
Good luck!!!
The numerical coefficient of the [tex]a^8*b^2[/tex] term in the expansion of [tex]((1/3)a^2 - 3b)^6[/tex] is -45/16.
Explanation:The numerical coefficient of the [tex]a^8*b^2[/tex] term in the expansion of [tex]((1/3)a^2 - 3b)^6[/tex] can be found using the binomial theorem, which states that [tex](x+y)^n = \sum (n choose k) x^(^n^-^k^) y^k[/tex] where the sum is from k=0 to n. Here, x = [tex](1/3)a^2[/tex], y = -3b, and n = 6.
In the term [tex]a^8*b^2, a^2[/tex] is raised to the 4th power and -3b is raised to the 2nd power. Hence, we are looking for the coefficient in the term in the binomial expansion where [tex](1/3)a^2[/tex] is raised to the 4th power and -3b is raised to the 2nd power.
This can be calculated by multiplying together the coefficient '6 choose 4', the 4th power of [tex](1/3)a^2[/tex], and the 2nd power of -3b.
That leads to coefficient =[tex](6 choose 4)*((1/3)^4)*(-3)^2 * a^8 * b^2[/tex]. After calculation this simplifies to -45/16.
Learn more about Binomial Theorem here:https://brainly.com/question/30100273
#SPJ3
1. Rodrigo has a ladder that is 13 ft long. The ladder is leaned against a vertical wall. The top of the ladder is 10.8 ft above the ground. The angle the ladder makes with the ground needs to be 60o or less for safety purposes. a. Is this ladder in a safe position? (1 point) b. Show your work (3 points) and draw a diagram (1 point) to support your answer. Answer:
Answer:
As per the given condition: Rodrigo has a ladder that is 13 ft long. The ladder is leaned against a vertical wall. The top of the ladder is 10.8 ft above the ground.
The Orientation of the ladder with the wall forms a right triangle.
The ladder length is the hypotenuse of the triangle,
the distance between the ladder at ground level and the base of the wall is the horizontal leg of the triangle,
and the height of the ladder is the vertical leg of the triangle.
⇒ Height of the ladder = 10.8 ft and hypotenuse = 13 ft
Using sine ratio formula;
[tex]\sin \theta = \frac{\text{Opposite side}}{\text{Hypotenuse side}}[/tex]
Opposite side = height of the ladder = 10.8 ft and
Hypotenuse side = 13 ft.
then;
[tex]\sin \theta = \frac{10.8}{13} =0.830769230769[/tex]
or
[tex]\theta = \sin^{-1}(0.830769230769)[/tex]
Simplify:
[tex]\theta = 56.2^{\circ}[/tex] (nearest to tenth place)
Since, it is given that the angle the ladder makes with the ground needs to be 60 degree or less for safety purposes.
(a)
Yes, this ladder in a safe position.
as [tex]\theta = 56.2^{\circ} < 60^{\circ}[/tex]
(b)
You can see the diagram as shown below in the attachment.
Solve v=1/3bh for h the height of the cone
The volume of the cone can be calculated using fofmula
[tex]V=\dfrac{1}{3}\cdot b\cdot h,[/tex] wher b is the area of the base and h is the hieght.
Multiply the whole equation by 3:
[tex]3V=b\cdot h.[/tex]
Divide this equation by b:
[tex]h=\dfrac{3V}{b}.[/tex]
Answer: [tex]h=\dfrac{3V}{b}.[/tex]
We rearranged the equation v=1/3bh to solve for h, the height of the cone, by first multiplying by 3 to cancel the 1/3 and then dividing by b, resulting in h=3v/b.
The question is asking to Solving for Variable for h in the formula v=1/3bh, where v is the volume of a cone, b is the base area, and h is the height.
To find h, we need to rearrange the equation by first multiplying both sides by 3 to cancel out the 1/3 in front of bh.
So, it becomes 3v=bh.
Then, we divide both sides by b to isolate h, which gives us h=3v/b.
So the height of the cone is h=3v/b.
Learn more about Solving for Variable here:
https://brainly.com/question/28552170
#SPJ3
help me find the line of best fit ??
positive correlation
plz rate me
Answer:
Hello! I believe that this will help you find the line best fit.
Step-by-step explanation:
Remember, for it to be a line best fit, you must find the two points that you think will be on the "line best fit".
HELP PLEASE!! 70 POINTS AND BRAINLIEST IF YOU ANSWER THESE MATH QUESTIONS!!
2 1/9 divided by 2/3
3/5 divided by 1 1/4
7 9/16 divided by 2 3/4
2 1/9 divided 2/3 = 19/6 OR 3 1/6
3/5 divided 1 1/4 = 12/25
7 9/16 divided 2 3/4 = 11/4 OR 2 3/4
Answer:
2 1/9 divided 2/3 = 19/6 OR 3 1/6
3/5 divided 1 1/4 = 12/25
7 9/16 divided 2 3/4 = 11/4 OR 2 3/4
Step-by-step explanation:
Four more than three times a number t t is written as
"More" means you're adding. So the problem would look like this...
3t + 4
I hope this is what you're looking for. :)
Sandra has a photo that is 9 inches by 12 inches. She wants to resize the photo by the scale factor of 3/4. What will be the dimensions of the new photo
The new dimensions are 6.75 inches by 9 inches
The dimensions of the new photo if, Sandra has a photo that is 9 inches by 12 inches, and The scale factor is 3 / 4, is 6.75 inches by 9 inches.
What is the scale factor?To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilized. It is employed to change the size of an object.
Given:
Sandra has a photo that is 9 inches by 12 inches,
The scale factor is, s = 3 / 4
Calculate the dimensions of the new photo as shown below,
The length = 9 × 3 / 4
The length = 27 / 4
The length = 6.75 inches,
The width of photo = 12 × 3 / 4
The width of the photo = 36 / 4
The width of the photo = 9 inches
Thus, the dimensions of the new photo will be 6.75 inches by 9 inches.
To know more about scale factors:
https://brainly.com/question/28658657
#SPJ5
50q + 43 > −11q + 70
Answer:
The solution in the attached figure
Step-by-step explanation:
we have
[tex]50q+43 > -11q+70[/tex]
Solve for q
Adds 11 q both sides
[tex]50q+43 +11q > 70[/tex]
[tex]61q+43 > 70[/tex]
Subtract 43 both sides
[tex]61q > 70-43[/tex]
[tex]61q > 27[/tex]
Divide by 61 both sides
[tex]q > \frac{27}{61}[/tex]
The solution is the interval ------> (27/61,∞)
All real numbers greater than 27/61
In a number line the solution is the shaded area at right of 27/61 (open circle)
What is the area of a piece of plywood measuring 2foot8inches long by 2 foot 4 inches wide
A=wl
32 times 28= 896
i converted the feet and inches into just inches btw
PLEASE HELPP MEEEEE
A satellite camera takes a rectangular-shaped picture. The smallest region that can be photographed is a 4-km by 8-km rectangle. As the camera zooms out, the length l and width w of the . rectangle increase at a rate of 3 km/sec. How long does it take for the area A to be at least 5 times its original size?
To find the time it takes for the area to be at least 5 times its original size, we need to solve an equation involving the rates of increase for the length and width of the rectangle. The original area is 32 km² and the rates of increase are both 3 km/sec. By substituting these values into the equation and solving for time, we can determine the answer.
Explanation:To determine how long it takes for the area A to be at least 5 times its original size, we first need to find the original area and then solve for the time it takes for the area to reach 5 times that value.
The original area is equal to the length multiplied by the width, so it is A = 4 km * 8 km = 32 km².
Let's denote the rate at which the length and width increase as dl/dt and dw/dt respectively. We know that dl/dt = dw/dt = 3 km/sec.
To find the time it takes for the area to be 5 times its original size, we need to solve the equation 32 + 3l(t) * 3w(t) = 5 * 32, where l(t) and w(t) are the length and width at time t.
Simplifying the equation, we get 9lw - 160 = 0.
Since we're given the rates at which l and w increase, we can substitute l and w with their formulas: l(t) = 4 + 3t and w(t) = 8 + 3t.
Substituting these formulas into the equation, we get 9(4 + 3t)(8 + 3t) - 160 = 0.
Solving this equation will give us the value of t, which represents the time it takes for the area to be at least 5 times its original size.
Learn more about Finding time for an area to increase here:https://brainly.com/question/34774700
#SPJ2
What is 0.275 0.20 0.572 and 0.725 greatest to least
Point A is on a line that has a slope of 3. Which of these could be the coordinates of another point on the line?
The fromula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have A(4, 3) and m = 3.
(0, 3)
[tex]\dfrac{3-3}{0-4}=0\neq3[/tex]
(5, 0)
[tex]\dfrac{0-3}{5-4}=\dfrac{-3}{1}=-3\neq3[/tex]
(3, 0)
[tex]\dfrac{0-3}{3-4}=\dfrac{-3}{-1}=3\qquad CORRECT[/tex]
(0, 0)
[tex]\dfrac{0-3}{0-4}=\dfrac{-3}{-4}=\dfrac{3}{4}\neq3[/tex]
Answer: (3, 0).The table shows the height of a soccer ball that has been kicked from the ground over time. (For reference: h(t) = −16t2 + 40t) Time (seconds) Height (feet) 0 0 0.5 16 1 24 1.25 25 1.5 24 2 16 2.5 0 Which statement describes the rate of change of the height of the ball over time? The rate of change is not constant and decreases over the entire time. Between 0 and 0.5 second the ball rises 16 feet, but between 0.5 and 1 second it rises only 8 more feet. The rate of change is not constant and increases over the entire time. Between 1.5 and 2 seconds the ball falls 8 feet, but between 2 and 12.5 seconds it falls 16 more feet. The rate of change is not constant and decreases then increases over time. The ball rises by 16 in the first half second, but only 8 feet over the next one. After it reaches 25 feet in the air, the ball drops. The rate of change is not constant and increases then decreases over time. The height of the ball above ground gets larger until 1.25 seconds and then gets smaller after that time.
Answer:
- Between 0 and 0.5 second the ball rises 16 feet, but between 0.5 and 1 second it rises only 8 more feet
- The ball rises by 16 in the first half second, but only 8 feet over the next one
- After it reaches 25 feet in the air, the ball drops
- The height of the ball above ground gets larger until 1.25 seconds and then gets smaller after that time.
Step-by-step explanation:
Let's rewrite the table:
Time (seconds) Height (feet)
0 0
0.5 16
1 24
1.25 25
1.5 24
2 16
2.5 0
By simply looking at the table, we can see that the following statements are all correct:
- Between 0 and 0.5 second the ball rises 16 feet, but between 0.5 and 1 second it rises only 8 more feet
- The ball rises by 16 in the first half second, but only 8 feet over the next one
- After it reaches 25 feet in the air, the ball drops
- The height of the ball above ground gets larger until 1.25 seconds and then gets smaller after that time.
Out of 50 us states 4 haves names starting with a w what is the precentage starting with a w
Math graph please help 35 points
In order to better find the points on this graph, we need to convert it from standard form to slope-intercept.
We can do that by solving for y.
-7y + 8 = 21x - 6
Subtract 8 from both sides.
-7y = 21x - 14
Divide both sides by -7
y = -3x + 2
Now that the equation is in slope-intercept, we can find two points on the line.
We know that (0, 2) will be the first point, because 2 is the y-intercept.
We can plug 1 into the x value of the equation to find the corresponding y value.
y = -3(1) + 2
y = -3 + 2
y = -1
The second point is (1, -1)
It's the linear function.
The slope-intercept form: y = mx + b.
-7y + 8 = 21x - 6 subtract 8 from both sides
-7y = 21x - 14 divide both sides by (-7)
y = -3x + 2
We need only two points:
for x = 0 → y = -3(0) + 2 = 0 + 2 = 2 → (0, 2)
for x = 2 → y = -3(2) + 2 = -6 + 2 = -4 → (2, -4)