Answer:
Diameter = 2 m
Radius = 1 m
Area = 3.14 m²
Circumference = 6.28 m
Step-by-step explanation:
✔️Area of the circular rug is already given as 3.14 m²
✔️find radius (r):
Area = πr²
Thus,
Take π as 3.14
3.14*r² = 3.14
Divide both sides by 3.14
r² = 3.14/3.14
r² = 1
find the square root of both sides
r = √1
radius (r) = 1 m
✔️Diameter = 2*r = 2*1 = 2 m
✔️ Circumference = 2πr
r = 1 m
π = 3.14
Thus,
Circumference = 2*3.14*1 = 6.28 m
If P = (-2,5) and
Q = (1,9), find the distance PQ
giving brainliest!
Answer:
Step-by-step explanation:
[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2\\ \\ d^2=(-2-1)^2+(5-9)^2\\ \\ d^2=9+16\\ \\ d^2=25\\ \\ d=\sqrt{25}\\ \\ d=5[/tex]
Answer:
PQ = 5
Step-by-step explanation:
Distance Formula
d = [tex]\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2 }[/tex]
d = [tex]\sqrt{{(1} - -2)^2 + (9 - 5)^2 }[/tex]
d = [tex]\sqrt{3^2+4^2}[/tex]
d = [tex]\sqrt{9+16}[/tex]
d =[tex]\sqrt{25}[/tex]
d=5
PQ = 5
A researcher wants to make a 99% confidence interval for a population proportion. A preliminary sample produced the sample proportion of 0.46. The sample size that would limit the margin of error to be within 0.061 of the population proportion is:
Answer:
the sample size that would limit margin of error is 443
Step-by-step explanation:
The confidence level = 99 percent = 0.99
1 - alpha = 0.99
Alpha = 1 - 0.99
= 0.01
The critical z value for alpha = 0.01 = 2.576
Sample proportion = 0.46
Margin of error E = 0.061
Sample size = p(1-p)(Z/E)²
= 0.46(1-0.46) x (2.576/0.061)²
= 0.46(0.54)(42.23)²
= 0.2484 x 1783.37
= 442.989
= 443
The sample size would be 443
plz help will give brainliest
The number of cans the soup kitchen has is represented by the equation, y = -63x + 825, where x represents the number of days and y represents the number of cans. How many cans will the soup kitchen have left after 10 days?
Answer:
195 cans
Step-by-step explanation:
Start by multiplying -63 by 10, since 10 should be in place of x. You will get -630. Add 825 to -630 and you will get 195.
I need help with this ratio table please!
Answer:
(Down there)
Step-by-step explanation:
ok so, heres what to put in the empty boxes for the dog food:cost
40 : $44
60 : $66
80 : $88
70 : $77
And heres what to put for the 2nd boxes
16 : $20
24 : $30
32 : $40
40 : $50
pls help i dont get it
Answer:
2 and 3 tickets are the same price
Step-by-step explanation:
Well you would have to divide y/x and then you would get the answer of 12.25 for the first 2.
Which verbal expression best represents the algebraic expression 3n-4?
Answer:
-1
Step-by-step explanation:
Solve 8 • w ≤ 72. Graph the solution.
Please help
Answer:
(-infinity, 9]
Step-by-step explanation:
The solution of the inequality is w ≤ 9 and the graph is attached.
What is an inequality?In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal.
Given is an inequality, 8w ≤ 72, we need to graph it,
8w ≤ 72
Divide by 8 on both sides
w ≤ 9
For graph, draw a number line and label a point as 9.
Draw a solid line facing to the left and having a closed point at 9.
The line should not extend past 9.
Hence, the solution of the inequality is w ≤ 9
Learn more about inequality, click;
https://brainly.com/question/30231190
#SPJ2
How many solutions does the following equation have?
-4(2 + 5) = -40 - 20
Answer:
0
Step-by-step explanation:
I don't see any variables so simplify both sides.
-8 - 20 = -40 - 20
-28 = -60
is a false statement. No solutions.
L 4.12.2 Test (CST): Percents, Ratios, Proportions, and Rates
QUOSLUIT VIOU
Which pair of ratios will make a proportion?
O A. and i
O B. and 12 물
O c. and
O
o D. / and 24
20
The correct pairs which represent the pair of ratios will make a proportion are,
(A) 2/3 and 4/9
(B) 5/15 and 4/12
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
The pairs of ratio are,
(A) 2/3 and 4/9
(B) 5/15 and 4/12
(C) 4/12 and 6/24
Now,
From option A;
⇒ 2/3 and 4/9
⇒ 4/ 9 = 2/3
Hence, It make a proportion.
(B) 5/15 and 4/12
5 / 15 = 1 / 3
4 /12 = 1 / 3
Hence, It make a proportion.
(C) 4/12 and 6/24
4/12 = 1/3
6/24 = 1/4
Hence, It don't make a proportion.
Thus, The correct pairs which represent the pair of ratios will make a proportion are,
(A) 2/3 and 4/9
(B) 5/15 and 4/12
Learn more about the ratio visit:
https://brainly.com/question/12024093
#SPJ7
Complete question is this,Which pair of ratios forms a proportion?
(A) 2/3 and 4/9
(B) 5/15 and 4/12
(C) 4/12 and 6/24
if mary smith and karen white have identical sat scores and quality of letter, but mary smiths high school gpa is 1.5 point higher than karen, how much higher will marys college gpa be than karens
Required table is attached below :
Answer:
0.56
Step-by-step explanation:
Since they both have :
SAT score is the same ; quality of letter is the same ;
High school GPA is 1.5 points higher ;
Therefore, to determine how much Mary's GPA will be higher than Karen's :
Multiply the number of points by the Coefficient of high school GPA Given in the regression table attached below :
High school GPA Coefficient = 0.37635
Number of points = 1.5
= 1.5 * 0.37635
= 0.564525
= 0.56
"Y varies directly as x'. If y = 9 when x = 3, find y when x = 18. What is the constant of variation (k)?
Answer:
Y = 21 when x=18
X varies 3 numbers subtracted from Y so now it comes as x= 18 then y is plus 3 the the number shown on x which is 18+3 then you get 21.
Classify the polynomial by Degree and number of Terms
b^3+2b^2-b^2+3b^2+25
A. Quadratic Polynomial
B. None of the answers apply.
C. Cubic Trinomial
D. Polynomial
Answer:
C) Cubic Trinomial
Step-by-step explanation:
First, we combine like terms to simplify the polynomial. Like terms means having the same variable and exponent.
We get this expression: b^3+4b^2+25
There are 3 terms in this polynomial. Thus, it classifies as a trinomial. And its highest degree is 3, so it’s a cubic trinomial
Help! Will give brainiest
Which models show the problem 4/6 ÷ 2/6 = 2? Check all that apply.
Answer:
1st, 2nd, and 3rd models are correct
Step-by-step explanation:
Which set of national numbers is arranged from least to greatest?
Answer:
the first one
Step-by-step explanation:
negative . 50 then -.20 1/9 then one
A company produces only one type of light bulbs. The light bulbs are being manufactured two factories: Factory A and Factory B. Factory A produces 10, 000 bulbs every year, while Factory B produces 2, 000. Also 2% of bulbs from Factory A are defective while 1% of bulbs from Factory B are. After production all bulbs are brought to the same facility and shipped to retail stores.
Required:
a. What is the probability that a bulb bought from a store is defective?
b. Given that the bulb is defective, what is the probability that it was produced by Factory A?
c. Given that the bulb is functional, what is the probability that it was produced by Factory A?
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
Given values:
[tex]P(\frac{D}{A})=0.02 \\\\P(\frac{D}{B})=0.01\\\\P(A)=\frac{10,000}{10,000+2000} =\frac{10}{12} =\frac{5}{6} \\\\P(B)=\frac{1}{6}\\\\[/tex]
For point a:
[tex]P(D) =p(D\cap A) +P(D \cap B)\\\\[/tex]
[tex]=P(\frac{D}{A}) \times P(A) + P(\frac{D}{B}) \times P(B)\\\\=0.02 \times \frac{5}{6} + 0.01 \times \frac{1}{6}\\\\=\frac{0.1}{6} + \frac{0.01}{6}\\\\=\frac{0.1+0.01}{6} \\\\=\frac{0.11}{6} \\\\=\frac{11}{600} \\\\=0.0183[/tex]
For point b:
[tex]P(\frac{A}{D})= \frac{P(\frac{D}{A}) \times P(A)}{P(D)}\\\\[/tex]
[tex]= \frac{0.02 \times \frac{5}{6}}{\frac{11}{600}}\\\\= \frac{0.02 \times \frac{5}{6}}{0.0183333333}\\\\= \frac{0.02 \times 0.833333333}{0.0183333333}\\\\= \frac{0.0166666667}{0.018}\\\\=0.9090 \approx 0.0991[/tex]
For point c:
[tex]P(\frac{A}{D^C})=\frac{P(\frac{D^c}{A}) \times P(A)}{P(D^c)}\\\\[/tex]
[tex]= \frac{1-0.02 \times \frac{5}{6}}{1- \frac{11}{600}}\\\\= \frac{0.98 \times \frac{5}{6}}{0.98}\\\\=\frac{5}{6}\\\\=0.833[/tex]
Which shows the dilation with a possible scale factor of One-half?
Triangle A is smaller than triangle A prime.
Triangle A is larger than triangle A prime.
Rectangle A is the same size as rectangle A prime.
Answer:
Option B
Step-by-step explanation:
Answer:
The answer is B
Which of the following is true about the function below?
Answer:
The answer is D.
what is 12.25 divided by 2.5
Answer:
4.9
Step-by-step explanation:
6x - 5 + 7x = 34 find variable
Answer:
x = 3
Step-by-step explanation:
6x - 5 + 7x = 34
Find x
______________
To solve this, we need to isolate x :
First add like terms :
6x + 7x
13x
13x - 5 = 34
Add 5 to both sides :
13x = 39
Divide 13 from both sides to get x alone :
x = 3
Answer:
x=3
Step-by-step explanation:
Start by moving the 5 over creating 6x+7x=34+5. Then add them together 13x=39. And now simplify x=3
solve problems
5 1/2×3 1/3
joe has 4/5 of acre of land and wants to sell 2/3 what fraction of an acre does he want to sell
Answer:
The answer is
If all of the land had 100 acres than Joe would want to sell 28 of an acre.
there was a 26% chance it would rain tomorrow what is the probability that it wouldn’t
Answer:
74%
Step-by-step explanation:
405\450 = 9/10
process
Answer:
Correct
Step-by-step explanation:
Just divide both the numerator and the denominator by their common factors.
First of all factor both of the numbers.
405=5*3^4
450=5^2*3^2*2
Now line it up.
5*3*3*3*3
---------------
5*5*3*3*2
Now we can cancel out some numbers and get
3*3
-----
5*5
Now we actually multiplies them again and get.
9/10
This is the process of how to get it hope it helped!
A summer picnic is being planned and 96 employees are invited to vote for one of the
following themes: Sun, Surf, or Sand. Seventy-five percent of the employees
participate in the voting.
If there are 19 votes for Sun and 27 votes for Surf, how many employees voted for
Sand?
24
26
Ο Ο Ο Ο Ο
38
42
50
(It’s making me type 20 characters long soooooo.
Answer:
c
Step-by-step explanation:
C is split into thirds which would be 33.333.... B and D are 333.3% and 330% shaded because 1 fully shaded model is 100%.
{4x+10y=8
{4x+3y=22
x=
y=
Answer: X=7
Y=-2
Step-by-step explanation:
Please can i get brainliest
These figures are similar. The
area of one is given. Find the
area of the other.
3 in
area=24 in
6 in
[ ? Jin?
Answer:
B. 4,028 m2
Hope this helps!
Question 1
5 pts
(07.01 LC)
What is the value of x in the equation -6 + x = -2? (5 points)
8
-4
-8
4
Answer:
4
Step-by-step explanation:
because like a population has a standard deviation of 11 what is the approximate standard error of the mean for a sample size of 150
Answer:?
Step-by-step explanation:
Round your answer to the nearest hundredth.
Answer:
41.41 degrees
Step-by-step explanation:
cos(a) = 6/8
arccos(6/8) = a
a = 41.41 degrees
Answer:
41⁰
Step-by-step explanation:
you can use cosA=adj/hyp to find the angle A.
adj=6
hyp=8
then cos-¹(6/8)=A
A=41.4096...