Answers
Answer:
blank area = 1.5π units²
Step-by-step explanation:
area of full circle = πr² = π6² = 36π units²
blank area = (15/360)(36π) = 1.5π units²
The area blank in a circular mosaic pattern is 4.71 square units.
What is a circle?A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
The diagram shows the circle with a central angle cutout.
The central angle, θ = 15°
Radius of the circle, r = 6 units
The formula of area blank in circle is
[tex]Area_{blank} = \frac{\theta}{360}\pi r^{2}[/tex]
⇒ [tex]Area_{blank} = \frac{15}{360}(3.14) (6)^{2}[/tex] [∵ π = 3.14 ]
⇒ [tex]Area_{blank} = 0.0416(3.14) (36)[/tex]
⇒ [tex]Area_{blank} = 4.71[/tex]
Hence we can conclude that the area blank in a circular mosaic pattern is 4.71 square units.
Learn more about circles here
https://brainly.com/question/10945528
#SPJ2
Related Questions
Choose the function that shows the correct transformation of the quadratic function shifted two units to the right one
unit up.
o f(x) = (x - 2)2 - 1
O f() = (x - 2)2 + 1
o f() = (x + 2)2 - 1
o f(x) = (x + 2)2 + 1
Answers
The last one f(x)=(x+2)2+1 because two units to the right is positive and going up is also positive
Let H(x) = 5 x 2 - 10 x. Find x such that (x, - 5 ) is on the graph of H(x).
Answers
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
The equation in vertex form is ...
H(x) = 5(x^2 -2x) = 5(x^2 -2x +1) -5
H(x) = 5(x -1)^2 -5
The only value of x that will make H(x) = -5, is x=1.
Suppose that X and Y are integer valued random variables with joint probability mass function given by
PX, Y(a, b) = {1/4a, for 1 <= b <= a <= 4
0 otherwise.
a. Show that this is indeed a joint probability mass function.
b. Find the marginal probability mass function of X and Y.
c. Find P(X = Y + 1).
Answers
Answer:
Step-by-step explanation:
1)
Given that:
The joint pmf [tex]p_{X,Y(a,b)}=\left \{ {{\dfrac{1}{4a} \ for \ 1 \le b \le a \le 4 } \\ \\ \atop {0} \ \ \ \ \ \ otherwise} } \right.[/tex]
To emphasize that this is a joint pmf;
We will notice that it obeys two conditions;
it comprises a non-negative number and which is less than 1the sum of all the probabilities adds up and becomes unity.Except that X and Y are integer value variables with 1 ≤ b ≤ a ≤ 4 and X = 1, 2, 3, 4 and Y = 1, 2, 3, 4 respectively, according to the condition Y ≤ X
The table below shows the joint probabilities as a result of this:
y = 1 y = 2 y = 1 y = 4 Total
x = 1 [tex]\dfrac{1}{4}[/tex] 0 0 0 [tex]\dfrac{1}{4}[/tex]
x = 2 [tex]\dfrac{1}{8}[/tex] [tex]\dfrac{1}{8}[/tex] 0 0 [tex]\dfrac{1}{4}[/tex]
x = 3 [tex]\dfrac{1}{12}[/tex] [tex]\dfrac{1}{12}[/tex] [tex]\dfrac{1}{12}[/tex] 0 [tex]\dfrac{1}{4}[/tex]
x = 4 [tex]\dfrac{1}{16}[/tex] [tex]\dfrac{1}{16}[/tex] [tex]\dfrac{1}{16}[/tex] [tex]\dfrac{1}{16}[/tex] [tex]\dfrac{1}{4}[/tex]
Total [tex]\dfrac{25}{48}[/tex] [tex]\dfrac{13}{48}[/tex] [tex]\dfrac{7}{48}[/tex] [tex]\dfrac{3}{48}[/tex] 1
In the table, it is obvious that each respective value of the probability is positive and the addition of all the values sums up to unity (1).
Hence, the given probability shows that it is indeed a pmf(probability mass function).
(b)
Marginal Pmf of x = [tex]\dfrac{sum \ of \ all \ prob. \ of (x,y)}{y}[/tex]
Marginal Pmf of y = [tex]\dfrac{sum \ of \ all \ prob. \ of (x,y)}{x}[/tex]
Thus, we can locate the respective values of the marginal probability in the last row as well as the last column in the explained table above.
(c)
To find P(X=Y+1):
P(X = Y + 1) = P(X = 2,3,4)
⇒ 1 - P(X=1)
[tex]\implies 1 - \dfrac{1}{4} \\ \\ \implies \dfrac{4-1}{4} \\ \\ \implies \dfrac{3}{4}[/tex]
i will give Brainiest if you are right
Answers
Answer:
B. 4x ≤ 320
Step-by-step explanation:
Not sure how to explain my thinking. However, 4x must be smaller than 320 because she cannot spend more than that.
Answer:
Step-by-step explanation:
b
ASAP pleeeease ASAP ASAP
You are given the results of measurement of resistors. We are testing the
measurement tool. It will pass the technical control if the mean value will be
in the range [198-202] with standard deviation less than 3 Ohms. Will the tool
pass the technical control?
Answers
Answer:
As both the standard deviation and the mean have the desired values, the tool passes the technical control.
Step-by-step explanation:
Mean:
The mean is the sum of all values divided by the number of values.
[tex]M = \frac{199+204+201+197+195+204+200}{7} = 200[/tex]
The mean is in the desired range.
Standard deviation:
The standard deviation is the square root of the sum of the difference squared between each value and the mean, divided by the number of values.
[tex]S = \sqrt{\frac{(199-200)^2+(204-200)^2+(201-200)^2+(197-200)^2+(195-200)^2+(204-200)^2+(200-200)^2}{7}} = 1.18[/tex]
As both the standard deviation and the mean have the desired values, the tool passes the technical control.
The graph of F(x) below resembles the graph of G(x) = x?, but it has been
changed somewhat. Which of the following could be the equation of F(x)?
Fix) =>
Gix) = x2
A. F(x) - x-2
B. F{X) = 4x2+2
C. Fx) = - - 2
D. FN-4222
Answers
Answer:
B. f(x) = 4x² + 2
Step-by-step explanation:
f(x) = 4 (x - 0)² + 2
vertex: (0 , 2) with vertical stretch
Asymptotes of x=3 and y=-2
Answers
Answer:
Both of these values don't have asymptotes.
Answer:
Both of these values don't have asymptotes.
Use linear regression to find an equation that would best predict a fair home price based on the
comps given below. Round each variable to 4 decimal places.
Answers
Answer:
y = 0.0807x - 3.4286
Step-by-step explanation:
Given the data above :
X :
1400
1700
1500
Y:
108
133
120
Using a linear regression calculator, the regression equation obtained is :
y = 0.0807x - 3.4286
Slope = 0.0807
Intercept = - 3.4286
x = predictor variable
y = predicted variable
Solve for x x= [ ]* pls help
Answers
Select the correct answer.
Consider function g.
g(x)= 5/x-1 +2
What is the average rate of change of function gover the interval [-4,3]?
ОА. -7/2
OB. 1/2
OC. -1/2
OD. 2
Answers
Answer:
Option B
Step-by-step explanation:
Average rate of change of a function 'f' in the interval x = a and x = b is given by,
Average rate of change of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
Given function is,
g(x) = [tex]\frac{5}{x-1}+2[/tex]
We have to calculate the rate of change in the interval [-4, 3],
Average rate of change = [tex]\frac{g(3)-g(-4)}{3-(-4)}[/tex]
g(3) = [tex]\frac{5}{3-1}+1[/tex]
= 2.5 + 1
= 3.5
g(-4) = [tex]\frac{5}{-4-1}+1[/tex]
= -1 + 1
= 0
Average rate of change = [tex]\frac{3.5-0}{3+4}[/tex]
= [tex]\frac{3.5}{7}[/tex]
= [tex]\frac{1}{2}[/tex]
Therefore, Option B will be the answer.
Answer:
B
Step-by-step explanation:
Edmentum
help please mathematics!!!
Answers
Answer:
answer: 16
because 16/20 is an equivalent fraction to 4/5 hope that helps!
Decide whether the function is polynomial function. If so, write it in standard form and state its degree, type, and leading coefficient.
f(x)= 9x^4 + 8x^3 - 6x^-2 + 2x
Answers
Answer:
It is not a polynomial function, because it includes a negative exponent.
Answer:
Step-by-step explanation:
Leading coefficient = 9
It is in standard form.
It is degree 4
It is a polynomial (I don't think there is a special name for degree 4). Time to eat crow. A 4th degree Polynomial is a quartic.
I didn't notice the power is -2. I am incorrect in telling you it was a polynomial (function). As I noted below, more crow to eat. Please give the Brainliest to the other responder
If z is a standard normal variable, find the probability.
The probability that z is greater than -1 82
Answers
Answer:
.
Step-by-step explanation:
Plz help need help help
Answers
Answer:
8,560
Step-by-step explanation:
8000 x .02 interest/year x 3.5years=560 interest earned
8000+560=8,560 investment worth after 3.5 years
A random sample of 340 electronic components manufactured by a certain process are tested, and 30 are found to be defective. A device will be manufactured in which two of the components will be connected in series. The components function independently, and the device will function only if both components function. Let q be the probability that a device functions. Find a 95% confidence interval for q. Round the answers to three decimal places. The 95% confidence interval for q is (
Answers
Answer:
95% of the confidence interval for q is
(0.05809 , 0.1183)
Step-by-step explanation:
Step:1
Given that the random sample of 340 electronic components manufactured by a certain process is tested, and 30 are found to be defective.
sample proportion
[tex]q^{-} = \frac{x}{n} = \frac{30}{340} = 0.0882[/tex]
Step:2
95% of the confidence interval is determined by
[tex](q - Z_{0.05} \sqrt{\frac{pq}{n} } , q + Z_{0.05} \sqrt{\frac{pq}{n} } )[/tex]
[tex]((0.0804 -1.96 \sqrt{\frac{0.0804 X0.9118}{340} } ,0.0804 +1.96 \sqrt{\frac{0.0804 X0.9118}{340})[/tex]
[tex]( 0.0882- 1.96 \sqrt{0.000236} , 0.0882 + 1.96 \sqrt{0.000236} )[/tex]
(0.0882 - 0.03011 , 0.0882+0.03011)
( 0.05809 , 0.1183)
Final answer:-
95% of the confidence interval for q is
(0.05809 , 0.1183)
Your friend has two standard decks of 52 playing cards and asks you to randomly draw one card from each deck. What is the probability that you will draw two spades?
Answers
Answer:
If you have 2 decks of 52, it would be 1/52 chance per card, so since there are two, add it up, its 2/104
Step-by-step explanation:
Answer:
1/16
Step-by-step explanation:
:))
For the purpose of determining the value of its end-of-year inventory, a clothing store creates a list at the end of the year of every item currently in stock along with each iter's wholesale price. Which of the
following is the best description of the end-of-the-year activity?
Answers
Answer:
A census, because the wholesale prices of all items are listed.
Step-by-step explanation:
Find all values of the variable x for which the rational expression is undefined.
8x+9/x^2-13x+42
The expression is undefined when x=
Answers
Answer:
Step-by-step explanation:
8x+9/x^2-13x+42
Write 8 x as a fraction with denominator 1
8x+9/x^2-13x+42
then we multipuly 8x/1 by x^2/x^2
ending on your answer
What percent of the large square is shaded?
O 56%
O 5%
06%
44 %
Answers
ME LO RESUELVEN PORFAAAAAAAAAAAA
Answers
Answer:
A = arcTan(8/15) = 0.4900 radians = 28.07°
Step-by-step explanation:
Tan(A) = 8/15
A = arcTan(8/15) = 0.4900 radians = 28.07°
Multiply.
(-3+2i)(-4+4i)
Write your answer as a complex number in standard form.
Answers
Answer:
4 - 20 i
Step-by-step explanation:
you do stuff and you get 4 - 20 i
Someone help PLEASE thanks
Answers
Answer:
Utiliza la regla
Step-by-step explanation:
Y te sacarasb10
If you go to sleep at 8:25 p.m. and wake up at 6:15 a.m. for how long did
you sleep?
Answers
5c+4c+2 and 5c+2(2c+1)
Answers
Answer:
11 c12 cyfiddiddjkssjksajusaahogsyi of
Find the volume of the solid figure shown below. The area of the base is 40 square inches, and the height of the figure is 7 inches. 280 in. 3 68 in. 3 47 in. 3 108 in. 3
Answers
Answer:
280in
Step-by-step explanation:
Answer:
280 in. ^3
Step-by-step explanation:
40 x 7
Which of the following situations could be described by the equation y = 120 - 25x?
Answers
Answer:
Is there any other information?
Step-by-step explanation:
Find the volume. No links please
Answers
Answer:
72 centimeters
Step-by-step explanation:
V=bh or l*w*h
V=6*3*4 = 72 cm
PLEASE HELP ME ASAPPPPP!!!!!!!!
Answers
Answer:
4 Zebras
Step-by-step explanation:
I can only see that she have 5 elephants, possibly more, however it's cut off. If that's true. Then:
If she has 5 elephants (which is currently what she has the most of) and 2 zebras. She needs 4 more zebras. Then she will have 6 zebras. More then any other animal.
Answer:
assuming the elephant has the most dots, as i cant see the full picture, then she needs to collect 4 more because she has 2 already.
Step-by-step explanation:
The elephant has 5 dots
the zebra has 2 dots
4+2=6
The length of a rectangle exceeds its width by
3 inches, and the area is 108 square inches.
What are the length and width of the
rectangle?
Answers
l=36in
width = 12in
there's ur answer
Which angles are pairs of corresponding angles? Check all that apply.
1/2
4 3
516
87
9 110
12111
13/14
16/15
1 and
3
Answers
Answer: The pair of corresponding angles are ∠2 and ∠14 , ∠3 and ∠7 . Option (B) and (D) is correct . When two lines are parallel to each other and cross by another line i.e is called the Transversal , the angles lies in the matching corners are called corresponding angles.
hope it helps!!
From the options given, the angles that are pairs of corresponding angles given in the image are:
∠2 and ∠14 ∠3 and ∠7 What are Corresponding Angles?Corresponding angles will always lie on the same transversal and occupy the same relative position on the two different parallel lines that are intersected by the transversal.
Therefore, from the options given, the angles that are pairs of corresponding angles given in the image are:
∠2 and ∠14 ∠3 and ∠7
Learn more about corresponding angles on:
https://brainly.com/question/2009183