Answer:
B.
Step-by-step explanation:
........................
The mathematics faculty at a college consists of 7 professors, 4 associate professors, 4 assistant professors, and 6 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.
Answer:
0.619 = 61.9% probability of choosing a professor or an instructor.
Step-by-step explanation:
A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
7 + 4 + 4 + 6 = 21 members
7 + 6 = 13 professors or instructors.
Find the probability of choosing a professor or an instructor.
p = 13/21 = 0.619
0.619 = 61.9% probability of choosing a professor or an instructor.
A country's population in 1990 was 156 million. In 1996 it was 162 million. Estimate the population in 2016 using the exponential growth formula. Round your answer to the nearest million. P = Aekt Enter the correct answer.
Answer:
184
Step-by-step explanation:
1.give the sequence 8.5.2.-1,...at what term will the number become -25? A.11th term B.10th term C.12th term D.20th term 2.which of the following is an algebraic esprression? A.3+5 B.n-1-14 C.3+5=8 D.x=53 3.what is the sum of the first 5 even numbers? A.30 B.20 C.10 D.50
Answer: 1. C(12) 2. B(n-1-14) 3. A(30)
Step-by-step explanation: For number one the nth term with common difference d and first term a is a+(n-1)d=nth term, plug in the values you have and solve for n to get 12. For number 2 an algebraic expression has a variable and a constant but doesn't have an equal sign. So it is B. For number three just add them up. Hope this helped!
The graph below shows the relationship between the number of months different students practiced boxing and the number of matches they won:
The title of the graph is Boxing Matches. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 21 at increments of 3, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 3 and 1, 6 and 2, 7 and 3, 9 and 4, 11 and 5, 13 and 6, 14 and 7, 16 and 8, 17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 4 and 2, 7.1 and 4, 11 and 6, 13.5 and 8, 17 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)
Answer:
(a) y intercept is approximately 4.3
(b) [tex]y = 1.5x+4.5[/tex]
Step-by-step explanation:
Given
See attachment for graph
Solving (a) The y intercept
This is the point where [tex]x =0[/tex]
From the attached graph; By observation
[tex]y \approx 4.3[/tex] when [tex]x =0[/tex]
So, the y intercept is approximately 4.3
Solving (b): The equation of best fit.
First, calculate the slope of the line using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (9,18)[/tex]
[tex](x_2,y_2) = (8,16.5)[/tex]
So:
[tex]m = \frac{16.5- 18}{8 - 9}[/tex]
[tex]m = \frac{-1.5}{- 1}[/tex]
[tex]m = 1.5[/tex]
The equation is then calculated using:
[tex]y =m(x - x_1) + y_1[/tex]
Where: [tex]m = 1.5[/tex] and [tex](x_1,y_1) = (9,18)[/tex]
[tex]y = 1.5(x - 9) + 18[/tex]
[tex]y = 1.5x - 9*1.5 + 18[/tex]
[tex]y = 1.5x - 13.5 + 18[/tex]
[tex]y = 1.5x+4.5[/tex]
PLEASE HELP ME WITH GEOMETRY :(
Answer:
1st option
Step-by-step explanation:
You have to take the radius and times it by 1 which gives you 8 in.
Recall that a conflict of interest scenario was presented to a sample of 200 marketing researchers and that 109 of these researchers disapproved of the actions taken. (a) Let p be the proportion of all marketing researchers who disapprove of the actions taken in the conflict of interest scenario. Set up the null and alternative hypotheses needed to attempt to provide evidence supporting the claim that a majority (more than 50 percent) of all marketing researchers disapprove of the actions taken.
Answer: Null hypothesis: [tex]p\leq0.50[/tex]
Alternative hypothesis: [tex]p>0.50[/tex]
Step-by-step explanation:
A null hypothesis is a type of hypothesis that states that there is no difference between a particular parameter of a population whereas an alternative hypothesis states that there is a difference.Given: p = Proportion of all marketing researchers who disapprove of the actions taken in the conflict of interest scenario.
n= 200
Sample proportion = [tex]\hat{p}=\dfrac{109}{200}=0.545[/tex]
Claim : p>0.50
Null hypothesis: [tex]p\leq0.50[/tex]
Alternative hypothesis: [tex]p>0.50[/tex]
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answer:
Verifal angles I think but I'm not necessarily sure!!!
there are 6 rows of chairs 4 rows are empty
Answer:
then only 2 rows are full
Step-by-step explanation:
im confused but if thats it then thats the answer if im right mark me brainliest
:>
A number machine is shown below.
INPUT
ADD 9
MULTIPLY
BY 5
OUTPUT
a) Calculate the INPUT when the OUTPUT is 40.
[2]
b) Calculate the OUTPUT when the INPUT is n.
+
[2]
Marie spent $15 on 4 identical jars of jelly. Each jar of jelly costs the same amount. How much did 1 jar of jelly cost? Use paper to show your work.
One jar of jelly costs $
Answer: $3.75
Step-by-step explanation:
First you would have to find the unit rate.
$15 / 4 jars of jelly = $3.75
Therefore, 1 jar of jelly = $3.75
Answer:
the answer is $3.75
Step-by-step explanation:
15 ÷ 4= 3.75
to verify your answer multiply
3.75 × 4= 15
What is the area of ADEF?
Answer:
6 sq ft
Step-by-step explanation:
Please help! What's the perimeter of Trapezoid ABCD?
Answer and explanation please! <3
Answer:
Step-by-step explanation:
The formula is P= a+b+c+d
a=base
b=base
c=side
d=side
Please search perimeter of a trapezoid. It will provide the answer.
Answer:
Perimeter = 19.77 units
Step-by-step explanation:
Perimeter = AB + BC + CD + AD
BC = 5
AD = 8
AB² = 2² + 3² = 4 + 9 = 13
AB = √13 = 3.61
CD² = 1² + 3² = 1 + 9 = 10
CD = √10 = 3.16
Perimeter = 3.61 + 5 + 3.16 + 8 = 19.77
Use inverse trigonometric functions to solve each problem.
A flag pole 30 feet tall casts a shadow of 50 feet on the ground. Find,
to the nearest tenth of a degree, the angle of elevation of the sun.
a.30°
b.31°
c.60°
d.61°
Answer:
BBBBBBBBBB
Step-by-step explanation:
The table below shows Abigail's earnings on the job.
1 pts
Time (hours) Earnings (dollars)
21
$709.80
23
$777.40
35
$1183
What is the unit rate or Constant of Proportionality shown in this table?
How much money does Abigail earn for each hour that she works?
Answer:
Option (2)
Step-by-step explanation:
In this question we have to calculate the rate of earning or proportionality constant of Abigail.
Since, earning of Abigail (y) ∝ Time worked (t)
y = kt
Here, k = Proportionality constant
From the table attached,
If y = $709.80 and x = 21 hours
709.80 = 21k
k = [tex]\frac{709.8}{21}[/tex]
k = $33.80 per hour
Therefore, rat of earning or proportionality constant is $33.80
Option (2) will be the correct option.
A. Find the volume of a rectangular room measuring 22.75 ft. x 30 ft. x 14 ft.
B. Find the BTUs needed for that room if it faces South with poor insulation.
Help asap
Answer:
12 BTU
Step-by-step explanation:
5. In a right triangle, the sum of the lengths of the two legs is 100 meters. What are the lengths of the three sides
of this right triangle if the triangle's area is maxed out?
Answer:
6m by 8m by 10m
Step-by-step explanation:
6²+8²= 100
36+64=100
100=100
Please help I’m really need the help (NO LINKS ) (NO LYING ) PART 2 again
Answer:
A. 15
B. 25.6
C. 41.6
Step-by-step explanation:
You need to divide
Amanda had five and 6700 pounds of peanuts in her pantry how is this number written in expanded notation
Answer: 6000+700+00+0
I hope that helps you
depressed ppl say here
here
hehbsheheuehebdbd
Answer:
lol are you depressed ..........
5. Find the surface area of a sphere with
the radius of 1.5 cm.
a. 28.26 cm
b. 7.065 cm
c. 18.84 cm
d. 14.13 cm
Graph the polynomial function,
f(x) = – x3 + 2x2
See attatched picture
Use the scale to find the actual area of Janets bedroom in square feet!
Answer: 17 feet long 14 feet wide
The model has a scale of 1 : 16 so you can use a calculator like this one to find the exact length. https://www.ginifab.com/feeds/cm_to_inch/scale_converter.html
solve for the missing side and round to the nearest tenths place
Answer:
A. 22.5
Step-by-step explanation:
Apply Trigonometric function.
Reference angle = 64°
Opposite side to 64° = x
Hypotenuse = 25
Apply SOH:
Sin 64 = Opp/Hyp
Sin 64 = x/25
25 × Sin 64 = x
22.4698512 = x
x = 22.5 (nearest tenth)
Mensualmente el número de árboles talados aumenta en un 9% respecto del mes anterior. Si este mes hay 85.000 árboles talados, ¿cuántos árboles talados habrá, aproximadamente, en 6 meses más?
Answer:
FV= 639.483 arboles
Step-by-step explanation:
Dada la siguiente información:
Cantidad de árboles talados (A)= 85.000
Proporción de crecimiento (g)= 9% mensual
Cantidad de meses (n)= 6
Para calcular el total de árboles talados en 6 meses, tenemos que usar la siguiente formula:
FV= {A*[(1+i)^n - 1]} / i
A= cantidad de árboles talados
i= proporcion de crecimiento
n= cantidad de meses
FV= {85.000*[(1.09^6) - 1]} / 0.09
FV= 639.483 arboles
Ahora, la cantidad de árboles que se talaran en el sexto mes:
FV= PV*(1+i)^n
FV= 85,000*(1.09^6)
FV= 142.553
help with this question, please
Answer:
12.57 inches
Step-by-step explanation:
the formula is l = x/360 (2 pi r) so you solve from there
Question 2 of 37
Suppose that F(x) =3/x and G(X) 3/x-10Which statement best compares
the graphs of F(x) and G(x)?
Answer:
F(x) = x^3 and G(x) = (4x)^3 − 5
so
G(x) = F(4x) -5
the visual effect is
1) shrink horizontally by 1/4
2) shift down by 5
therefore
the answer is the option
D.The graph of G(x) is the graph of F(x) compressed horizontally and shifted 5 units down.
Step-by-step explanation:
Will give Brainly
Find the probability that a
randomly
selected point within the circle falls
in the red shaded area.
60°
60°
r= 4 cm
[? ]%
Round to the nearest tenth of a percent.
Answer: 33.3%
s Step-by-step explanation: The combined arc length of the red area is 120, which is 1/3 of 360, the full arc. So the probability is 1/3, or 33.3%. Hope this helps!
The probability that a randomly selected point within the circle falls
in the red shaded area will be 33.33%.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
Given that the shaded red sector has an angle of 60 degrees and the radius of the circle is 4 cm. The probability will be calculated as:-
The formula for a circle's sector's area is (Ф/360°) x π(r²), where r is the circle's radius and is the sector's angle.
Area of shaded region = (Ф/360°) x π(r²),
Area of shaded region = ( 60 / 360 ) x π (4²)
Area of shaded region = 8.377 square cm
Total shaded area = 2 x 8. 377 = 16.75 square cm
Total area of circle = π (4²) = 50.265 square cm
The probability is calculated by the formula below:-
Probability = Number of favorable outcomes / Number of sample
Number of favorable outcomes = 8.377
Number of sample = 50.265 square cm
Probability = 8.377 / 50.265 = 0.3333 = 33.33%
Therefore, the probability that a randomly selected point within the circle falls in the red-shaded area will be 33.33%.
To know more about probability follow
https://brainly.com/question/27930712
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The cost of one pen when pens are priced at 5 for p dollars
I really need help on this
Answer:
$1
Step-by-step explanation:
If 5 pens = $p, then 1 pen = $p/5.
But because 5 pens = $p, it would be the same thing as 5 = p because you just take off the labels.
So p = 5 and one pen would be:
$p/5 = 1
5/5 = 1
1 = 1
determine if the work for each problem is correct correct only errors and explain your thinking
Answer:
v= BH
the second part is wrong the base is 7.5 not 9.5
so the base look like this
v = 7.5(13)
v = 97.5
Step-by-step explanation:
I can't figure this problem out Please, I need some help.
Answer:
66
Step-by-step explanation: