Question 2 (Essay Worth 3 points)
A circular picture is 8 inches in diameter.
Part A
What is the area of the picture in square inches?
A. 411 square inches
B. 8rt square inches
C. 161 square inches
D. 321 square inches
Part B
A frame that is 2 inches wide surrounds the picture. What is the total area of the picture and the frame in square inches?
A. 41 square inches
B. 120 square inches
C. 361 square inches
D. 40 square inches
slope
y intercept
x intercept
Answer:
Step-by-step explanation:
y = mx + b
Here, m is the slope.
b is the y-intercept
x-intercept = -b/m
y = 3x -4
a) slope = 3
b) y-intercept = (-4)
c) x -intercept = -(-4)/3 = 4/3
[tex]y = \frac{1}{5}x-3[/tex]
a) slope = [tex]\frac{1}{5}[/tex]
b) y-intercept = (-3)
c) x -intercept = [tex]-\frac{1}{5}[/tex]÷(-3)
[tex]= \frac{-1}{5}*\frac{-1}{3}\\\\=\frac{1}{15}[/tex]
A sample of assistant professors on the business faculty at state supported institutions in Ohio revealed the mean income to be $32,000 for 9 months with a standard deviation of $3,000. Using Chebyshev's Theorem, what is the proportion of faculty that earns more than $25,250 but less than $38,750
Answer:
The proportion of faculty that earns more than $25,250 but less than $38,750 is 0.8025.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question, we have that:
Mean of 32000, Standard deviation of 3000.
Using Chebyshev's Theorem, what is the proportion of faculty that earns more than $25,250 but less than $38,750
This is within 38,750 - 32,000 = 32,000 - 25,250 = $6,750 of the mean.
Value of k:
This is k standard deviations from the mean. k is given by:
[tex]k = \frac{6750}{3000} = 2.25[/tex]
Proportion:
The percentage is:
[tex]p = 100(1 - \frac{1}{(2.25)^{2}}) = 80.25[/tex].
So the proportion is 0.8025
Please help! Find the value of X. Round to the nearest tenth. acellus
9514 1404 393
Answer:
38.2°
Step-by-step explanation:
The law of sines tells you ...
sin(x)/15 = sin(27°)/11
sin(x) = (15/11)sin(27°) . . . . . multiply by 15
x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°
x ≈ 38.2°
_____
Additional comment
In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.
Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.
The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.
pls helpp mee!!!!! pleaseee
Answer:
it is 5 inches squared
Step-by-step explanation:
1 inches. sjwjqkqkwjhed
Which statements are true about the graph shown below. There are more than one answer.
Answer:
cant see the choices what the graph is a function
Step-by-step explanation:
Find the solution to the equation. URGENT
Answer:
x + 6 + x + 6 + x + 6 + x + 6 + x + 6 x + 6 + x + 6 + x + 6 = 120
aka 8(6 + x) = 120
48 + 8x = 120
you want to get 8x on one side so you will subtract 48 on both sides - whatever you do to obe side you must do on the other side.
8x = 72
now you want the x by its self so to undo multiplication you need to divide, and divide on both sides.
x = 9
Solution: x = 9
Evaluate 5+3t -10u when t=5 and u=2
can someone complete it all
Answer:
Here it is
Step-by-step explanation:
#1. 3:4
#2. 3 to 4
#3. 3/4
How long a ladder must you have to reach the top of a 15-foot wall if the bottom of the ladder is placed 4 feet from the base of the wall? Round to the nearest tenth of a foot.
14.5 ft
15.5 ft
17.0 ft
19.0 ft
Answer:
15.5
Step-by-step explanation:
on edguenity
Answer:
15.5
Step-by-step explanation:
trust
What % of $10 = $2??????
Answer:
20% of 10= 2 is the answer
hope this helps!
What is the value of x? Justify each step. Given: AB bisects RAN. each angle BAN = (2x-75)
Answer:
The answer is portrayed in the picture below.
All copyright claims will proceed to Brainly Corporation.
a - (9b - 13b) =
a = 12, b = -2
I'm- sorry
Answer:
4
Step-by-step explanation:
What is the value of x?
Enter your answer in the box
39
X=
102°
Answer:
x=39
Step-by-step explanation:
The interior angles add up to 180 degrees so you do 39+102, which is 141. Then you subtract 141 from 180 and then you get 39 degrees.
Find the measure of
answer fast pls! <3
+10pts
Answer:
∠A = 88°
Step-by-step explanation:
= 180° - (50° + 38°)
= 180° - 88°
= 92°
∠A + 92° = 180°
∠A = 180° - 92°
∠A = 88°
As Sally and George practice for the SAT their scores on practice test rise Sally’s current score is 850 and it is rising by 10 points per week on the other hand George’s current score is 570 and is growing by 50 points per week
a)
when will Georgia score catch up to Sally’s?
B) if the SAT test is in 12 weeks who will score the highest?
Please show all work !!
Answer:
a) 7 weeks b) George's
Step-by-step explanation:
Sally's score can be modeled by 10x+850.
George's score can be modeled by 50x+570.
We can set them equal to each other to see when they intersect.
10x+850=50x+570
40x=280
x=7
If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.
The solution are, a) 7 weeks
b) George's
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
Sally's score can be modeled by 10x+850.
George's score can be modeled by 50x+570.
We can set them equal to each other to see when they intersect.
10x+850=50x+570
40x=280
x=7
If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.
To learn more on equation click:
brainly.com/question/24169758
#SPJ5
Your parents traveled 300 miles and used 15 gallons of gas. How many miles can your parents
run on 1 gallon of gas? *
300 miles
200 miles
40 miles
20 mies
Step-by-step explanation:
20 miles.
what you need to do to find out is:-
just divide them
300÷15
have a good day :)
Select all the observations that are true about the scatter plot
A.Most players are between 60 and 70 inches tall.
B.Players scored between 40 and 80 points per game.
C.There is an outlier at about (72, 24).
D.There is a weak positive association between height and points scored.
Answer:
c, a, d
Step-by-step explanation:
I think?
help my answer question 2 quick its an emergency
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Inverse of
f(x) = 4x+16
PLEASE HELP!!
What is the volume?
8 t
7 ft
21
cubic feet
Answer:
The answer is 8ft
Step-by-step explanation:
hope that helps :)))
Answer:
112ft²
Step-by-step explanation:
volume= length×breadth×height
[tex]v = 8 \times 2 \times 7 = 112f {t}^{2} [/tex]
points showing equivalent relics on the coordinate planeten
Ty
18
15
12
9
3
1 2 3 581 8 9 10 11 12 %
Which ordered pair would represent a ratio that is equivalent to those shown?
O 16, 12)
(9,6)
(8, 12)
O (12,8)
Answer:
Answer: (8,12) Third option
Step-by-step explanation:
Equivalent Ratios
Nardia plotted some points showing equivalent ratios. The points shown in the graph are: (2,3), (4,6), (10,15)
The ratios of the points in the form y:x are:
[tex]\frac{3}{2}[/tex]
[tex]\frac{6}{4}=\frac{3}{2}[/tex]
[tex]\frac{15}{10}=\frac{3}{2}[/tex]
Note all the ratios are equivalent.
From the ordered pairs provided in the choices, only one of them has the same ratio y:x.
Point (12,8) has a ratio:
[tex]\frac{12}{8}=\frac{3}{2}[/tex]
Answer: (8,12) Third option
What is 33/88 in simplest form?
Answer:
3/8
divide both by 11
you get 3/8
round 576.071 to the nearest tenths
Can somebody plz help ASAP!!
Answer: 6 sq cm
Step-by-step explanation:
Given f(x) = x^2 + x + 1 and given g(x) = x^2 - 9, find (f+g)(x).
========================================
Work Shown:
(f + g)(x) = f(x) + g(x)
(f + g)(x) = x^2+x+1 + g(x) ............... plug in f(x) = x^2+x+1
(f + g)(x) = x^2+x+1 + x^2-9 ........... plug in g(x) = x^2-9
(f + g)(x) = (x^2+x^2)+x+(1-9)
(f + g)(x) = 2x^2+x-8
i will give brainiest! i have to turn this in tonight please hurry.
9514 1404 393
Answer:
(c) 24 minutes
Step-by-step explanation:
The rate of working problems differs by ...
(1 problem)/(1.5 minutes) - (1 problem)/(2 minutes)
= (2/3 -1/2) problems/minute
= 1/6 problems per minute
So, to make up the difference of 4 problems will take ...
time = quantity/rate = (4 problems)/(1/6 problem/minute) = 24 minutes
Caroline and Chase will be on the same problem after 24 minutes.
_____
Additional comment
Technically speaking, Chase will just be finishing problem 26 when Caroline starts it after 19.5 minutes. At that point in time, they are on the same problem. The answer choices suggest the real question is, "after how many minutes will they be starting the same problem at the same time?" After 24 minutes, both will be starting problem 29 at the same time.
Benjamin went shopping for a new video game. The listed price of the video game
was $34, but the price with tax came to $37.40. Find the percent sales tax.
Answer:10%
Step-by-step explanation:
Which fraction represents the shaded part of the grid?
Answer:
where the heck is the pic?
Step-by-step explanation:
Find the missing angle measure in the triangle below.
