Given:
Radius of small circle = 4 in.
Width of gray border = 2 in.
To find:
The area of the gray border.
Solution:
We have, radius of small circle:
[tex]r=4\text{ in.}[/tex]
The width of gray border is 2 in. So,t he radius of the larger circle is:
[tex]R=4+2\text{ in.}[/tex]
[tex]R=6\text{ in.}[/tex]
Now, area of gray border is the difference for area of larger circle and smaller circle.
[tex]A=\pi R^2-\pi r^2[/tex]
[tex]A=\pi (R^2-r^2)[/tex]
Substituting [tex]r=4,\ R=6[/tex] in the above formula, we get
[tex]A=\pi (6^2-4^2)[/tex]
[tex]A=\pi (36-16)[/tex]
[tex]A=\pi (20)[/tex]
[tex]A=20\pi[/tex]
The area of the gray border is [tex]20\pi [/tex] square inches. Therefore, the correct option is D.
what's the value of 2
[tex]2\pi[/tex]
A cellular service provider charged a customer $40 for 150 minutes of airtime. The same provider charged another customer $55 for 300 minutes of airtime. What linear model represents the total cost, C, as a function of t, the amount of airtime in minutes?
Answer: C(t) =0.10t+25
Step-by-step explanation:
you can plug in the information as a slope of a line. (55-40)/(300-150) = 0.10
then enter it into the point slope form with point (150,40)= y-40=0.10(x-150) when done you get y=0.10x+25 which is the answer C(t)=0.10t+25
Please help me solve this
Answer:
m1 = 107°
m2 = 73°
m3 = 107°
m1+m2+m3+m4 = 360°
107+73+107+73=360°
please solve its urgent
Answer:
1320
Step-by-step explanation:
First, a quotient is what you get when you divide numbers, it is the result.
So, if the quotient is 2 and it was divided by 50, reverse it by multiplying 50 by 26 to get 1300.
The remainder is 20 so then add 20 to 1300 to get 1320.
Please guys help me fast!!!!!
Answer:
there 24 possible outcomes.
each color/letter on the spinner could coincide with each side of the dice, so there 4*6 possible outcomes
{A, 1},{A,2},{A,3},{A,4},{A,5},{A,6},{B,1},{B,2}, ...
Sample Space=S={A,B,C,D}
Hence
|S|=4
For Dice:-Sample Space=S={1,2,3,4,5,6}
Hence
|S|=6
If numbers collected from a survey are measurements, what are these measurements called before you perform any calculations?
Answer: raw data
Step-by-step explanation:
Raw data, is also referred to as the primary data, and it refers to the data that's collected from a source. It is a day that is yet to be processed. e.g the raw scores during examination can be considered to be raw data since it hasn't been processed yet to get further information.
Therefore, if the numbers collected from a survey are measurements, then the measurements before any calculation is performed is called raw data.
What is the probability that a student selected at random is a boy?
P( Answer
B
)= Answer
What is the probability that a boy selected at random is a Junior?
P( Answer
J | B
)= Answer
What is the probability of randomly choosing a student who is a Junior and a boy?
P(J Answer
∩
B)= Answer
What is the probability of randomly choosing a student who is a girl given that she is not junior?
P( Answer
G | J '
)= Answer
What is the probability of randomly selecting a girl?
P(G)= Answer
Answer:
Pr(B) = 0.69
Pr(J/B) = 0.35
Pr(J∩B) = 0.14
Pr(G/J') = 0.66
Pr(G) = 0.31
Step-by-step explanation:
Applying,
Pr = possible outcome (a)/Total outcome(t)
(1) Pr(B) = a/t............ Equation 1
From the diagram
Given: a = 220+65+35 = 320, t = 220+65+35+145 = 465
Substitute these values into equation 1
Pr(B) = 320/465
Pr(B) = 0.69
(2) Pr(J/B) = (35+65)/(220+65)
Pr(J/B) = 100/285
Pr(J/B) = 0.35
(3) Pr(J∩B) = 65/465
Pr(J∩B) = 0.14
(4) Pr(G/J') = 145/220
Pr(G/J') = 0.66
(5) Pr(G) = 145/465
Pr(G) = 0.31
A sofa is 900 more than the price of c which system of equation can be used to find price of each piece
Answer:
$1200
Step-by-step explanation:
S + C = 1200
S = C + 900
C + 900 + C = 1200
2C + 900 = 1200
2C = 300
C = 150
The chair costs $150. The sofa is $1050.
Together they cost $1200.
Please help me on this question. Thanks
Answer:
E. p - 7 + 7 = 22 + 7
Step-by-step explanation:
p - 7 + 7 = 22 + 7 ( -7 + 7 = 0)
p = 22 + 7
p - 7 = 22//
Help will give brailiest to first answer
question isn't loading
Step-by-step explanation:
Answer:
i think it is b but don't take my word
Step-by-step explanation:
Question 5
Which of the following correctly does the calculation 76?
a = 7% 6
a = 746
a = 7* 6
a = 7* 6
Answer:
7**6
Step-by-step explanation:
The expression 7^6 ; can be interpreted as 7 raised to the power of 6 ; which is (7 * 7 * 7 * 7 * 7 * 7). To execute this expression using a computer or basic mathematical operation on a computer we use the power symbol which the computer understand this the double multiplication symbol (**)
Hence, 7^6 = (7**6)
If f(x) = 4x - 7 and g(x) = 2x + 4, evaluate fx) + g(x) for x = -3.
A-52
B --21
C-22
D-15
Answer:
Step-by-step explanation:
4(-3)-7+2(-3)+4
=-21
Plz help me solve this algebra
Answer:
[tex]x=5, \\x=-1[/tex]
Step-by-step explanation:
Given [tex](x-2)^2=9[/tex], to solve for [tex]x[/tex], our goal is to isolate [tex]x[/tex].
Take the square root of both sides:
[tex]x-2=\pm\sqrt{9},\\x-2=\pm 3[/tex](recall that [tex]3^2=(-3)^2=9[/tex]).
Therefore, we have two cases:
[tex]\begin{cases}x-2=3,x=\boxed{5} \\x-2=-3, x=\boxed{-1}\end{cases}[/tex]
If f (x)= 2x^2-7 find f (4)
Answer:
14
Step-by-step explanation:
f(x)=2x+7
f(4)=2(4)+7
=8+7
=15
f(-4)=2(-4)+7
=-8+7
=-1
f(4)+f(-4)
=15+(-1)
=14.
Answer:
25
Step-by-step explanation:
f (x)= 2x^2-7
Let x=4
f (4) = 2 ( 4)^2 -7
Exponents first
f(4) =2*16 -7
Multiply
f(4) =32 -7
Subtract
f(4) =25
Which algebraic expression represents the phrase “fourteen increased by a number”?
Answer:
14+x
Step-by-step explanation:
IF YOU REALLY KNOW ABOUT THIS PLEASE HELP IT’S MY FINAL EXAM, leave it if you don’t..... The two triangles illustrated below are similar. What are the values of x and y?
Answer from A to D
Answer:
B
Step-by-step explanation:
the larger triangle is 4 times bigger.....so the measurements for the sides are multiplied by 4.
the shape however is the same ....so the internal angle will still be 83 degrees
help me find the volume (picture)
Answer:
18
Step-by-step explanation
The number of accidents in a factory for each month is provided: Jan Feb Mar Apr May June July Aug Sep Oct Nov Dec 25 28 24 18 17 27 9 18 22 14 12 26 Which hypothesis test would be appropriate for determining whether some months have a greater number of accidents than others
Answer:
Chisquare goodness of fit test
Step-by-step explanation:
Given the data:
Jan Feb Mar Apr May June July Aug Sep Oct Nov Dec 25 28 24 18 17 27 9 18 22 14 12 26
The Chisquare goodness of fit test is used to test the relationship between the observed and theoretical or expected model data. Here, we make and assumption about the population using the sample distribution. For the goodness of fit test, there is only one observed variable, here it is the number of factory accident. The null hypothesis is of the claim that the number of factory accidents per month is the same for each month ;
Null hypothesis : Number of factory accident each month is the same ; while the alternative hypothesis is tests that some month gave greater number of accidents, that is ; the number of factory accidents is not the same for each month.
please help to find the answer
Answer:
\frac{2\sin(x)}{2\left(\cos(x)\right)^{3}-\sin(2x)} and \frac{2\sin(x)}{2\left(\cos(x)\right)^{3}+\sin(2x)}
Order the side lengths
Answer:
Step-by-step explanation:
First fill in the missing angles of each triangle:
angle IJK = 180-47-51 = 82°
angle KJL = 180 - 63 - 57 = 60°
Within EACH triangle, the side length is proportional to the opposite angle.
Therefore for triangle IJK,
JK < JL < IK
and for triangle JKL
JL < KL <JK
so combining (chaining) the two inequalities,
JL < LK <JK < JL < IK
Answer:
Step-by-step explanation:
first lets find angle J in triangle IJK
for angle J
47 + 51 + angle J =180 degree (sum of interior angle of a triangle )
98 + angle J =180
angle J =180 - 98
angle J =82 degree
Now lets find angle J in triangle JKL
for angle J
57 + 63 + angle J =180 degree (being sum of interior angle of the triangle)
120 + angle J =180
angle J = 180 - 120
angle J =60 degree
now lets place the angle from samllest to largest
angle I = 41 degree
angle K = 51 degree
angle K of JKL triangle = 57 degree
angle J of JKL triangle = 60 degree
angle L =63 degree
angle J of IJK triangle = 80 degree
Side opposite to the smallest angle is smallest in sides and side opposite to the longest angle is largest in side.So,
side opposite to angle I is JK
side opposite to angle K is IJ
side opposite to angle K of JKL triangle is JL.
side opposite to angle J of JKL triangle is LK.
side opposite to angle L is JK.
side opposite to angle J of IJK triangle is IK.
therefore required answer is
JK , IJ , JL , LK , JK , IK
What is the value of p?
Answer:
133 - x = 180
x= 47
142 - y = 180
y = 38
x + y = n
47 + 38 = 85
what is a synthetic division used for
Answer:
pooping
Step-by-step explanation:
1.poop
2.wipe.
3.eat
4.sleep
Jamie answered 68 out of 80 questions. What percentage represents the point number of questions she answered?
Answer:
85%
Step-by-step explanation:
To get the percentage of the number of questions Jamie answered, divide 68 by 80 to get 0.85, which is 85% in decimal form.
Which rays form the sides of _IHG?
H
A IG
B. GI
C. IH
D. GH
E. HI
F. HG
Given:
Angle IHG formed by two rays.
To find:
The rays that form the sides of ∠IHG.
Solution:
From the given diagram it is clear that the initial point of both rays is point H.
First ray passes through the point I with initial point H, so the name of first ray is [tex]\overrightarrow{HI}[/tex].
Second ray passes through the point G with initial point H, so the name of second ray is [tex]\overrightarrow{HG}[/tex].
The rays [tex]\overrightarrow{HI}[/tex] and [tex]\overrightarrow{HG}[/tex] form the sides of ∠IHG.
Therefore, the correct options are E and F.
5/8
of a sum of money is $240. What is the value of the sum of money?
Answer:
The total amount is 384
Step-by-step explanation:
Let m = the amount of money
5/8 of the money is 240
5/8 * m = 240
Multiply each side by 8/5
8/5 * 5/8 * m = 8/5 * 240
m =384
The total amount is 384
A service station charges $251 for four
new tires and installation. If the
installation portion of the bill is $84,
what is the price of one tire? Write and
solve an equation.
Answer:
$41.75
Step-by-step explanation:
$251-84=167
167 divided by 4 is $41.75
Hope this helps! :)
When subtracting 1.578 from 127.3, the result on the calculator is 125.722. Round the answer to the appropriate precision based on the precision of the numbers in the subtraction column
Answer:
[tex]127.3 - 1.578 \approx 125.7[/tex]
Step-by-step explanation:
Given
[tex]127.3 - 1.578 = 125.722[/tex]
Required
Round to the precision of the 1.578
The number in the subtraction column is 1.578; so, the question implies that we round up 125.722 to the precision of 1.578
The precision of 1.578 is 4 (i.e. it has 4 digits). Hence, 125.722 will be approximated to 4 significant digits.
So, we have:
[tex]125.722 \approx = 125.7[/tex]
or
[tex]127.3 - 1.578 \approx 125.7[/tex]
You work for a lender that requires a 20% down payment and uses the standard debt-to-income ratio to determine a person's eligibility for a home loan. Of the following, choose the person that you would rate the highest on their eligibility for a home loan?
person A person B person C person D
home value $175,000 $200,000 $220,000 $250,000
income $51,000. $58,000. $63,000. $67,000
savings. $35,000. $40,000. $42,000. $50,000
recurring debt. $350. $250. $200. $450
a.Person A
b. Person B
c.Person C
d. Person D
The person C that you would rate the highest on their eligibility for a home loan.
Given that,
You work for a lender that requires a 20% down payment and uses the standard debt-to-income ratio to determine a person's eligibility for a home loan.
We have to determine,
The person that you would rate the highest on their eligibility for a home loan?
According to the question,
Person A Person B Person C Person D
Home value; $175,000 $200,000 $220,000 $250,000
Income; $51,000 $58,000 $63,000 $67,000
Savings; $35,000 $40,000 $42,000 $50,000
Recurring debt; $350 $250 $200 $450
Person A has eligibility for a home loan is,
Home price $175,000 on 20% down payment,
[tex]= \dfrac{175000 \times 20}{100}\\\\= 175000 \times 0.20 \\\\= 35,000[/tex]
Person A's income is $51,000 and his saving amount is $35,000.
Person A has the highest eligible for recurring debt.
Therefore, Person A is not eligible for a home loan.
Person B has eligibility for a home loan is,
Home price $200,000 on 20% down payment,
[tex]= \dfrac{200000 \times 20}{100}\\\\= 200000 \times 0.20 \\\\= $40,000[/tex]
Person B's income is $58,000 and his saving amount is $40,000.
Person B is the highest recurring debt.
Therefore, Person B is not eligible for a home loan.
Person C has eligibility for a home loan is,
Home price $220,000 on 20% down payment,
[tex]= \dfrac{220000 \times 20}{100}\\\\= 220000 \times 0.20 \\\\= $44,000[/tex]
Person C's income is $63,000 and his saving amount is $42,000.
Person C has the lowest recurring debt.
Therefore, Person C is eligible for a home loan.
Person D has eligibility for a home loan is,
Home price $250,000 on 20% down payment,
[tex]= \dfrac{250000 \times 20}{100}\\\\= 200000 \times 0.20 \\\\= $50,000[/tex]
Person D's income is $67,000 and his saving amount is $50,000.
Person D has the highest recurring debt.
Therefore, Person D is not eligible for a home loan.
Hence, The person C that you would rate the highest on their eligibility for a home loan.
For more details refer to the link given below.
https://brainly.com/question/9911386
Answer: B
Step-by-step explanation:
Just took the test on edge and got it right
Jayden earned $74.00 for 8 hours of work.
How much did he earn per hour?
Answer:
Jayden earns $ 9.25 per hour.
Step-by-step explanation:
Time Earnings
8 74
1 x
[tex]\frac{8}{1} = \frac{74}{x}\\\\8 \times x = 74 \times 1\\\\x = \frac{74}{8} = \$ 9.25[/tex]
Answer:
9.25
Step-by-step explanation:
He earned 9.25 money per hour because you divide 74/8 and it will give you 9.25. If you wanna double-check you can multiply 9.25 times 8 and you'll get 74.
you serve bratwurst and hamburgers at your annual picnic you want at least three bratwutsts or hamburgers for each of your 40 guest bratwurst cost 1.35 each and hamburgers 1.2 each your budget is 175