Answer:
31.06
Step-by-step explanation:
Ticket costs: 17.50+1.44=18.94
Change received: 50-18.94=31.06
Least common multiples of two- digit numbers. I need two examples. SHOW WORK
9514 1404 393
Answer:
LCM(21, 51) = 357LCM(42, 90) = 630Step-by-step explanation:
For a pair of numbers, I find it convenient to think in terms of factors unique to the number, and factors shared with the other number.
Consider the numbers 21 and 51, for example.
21 = 3·7
51 = 3·17
The factor 3 is shared by both numbers. The factors 7 and 17 are unique to one number or the other.
If we group these factors like this ...
(factors unique to 1 [ shared factors ) factors unique to 2]
= (7 [3 ) 17]
The numbers in ( ) parentheses are the factors of 21, and the numbers in [ ] brackets are the factors of 51.
The LCM (least common multiple) is the product of the factors in those brackets:
LCM(21, 51) = 7 × 3 × 17 = 357
__
The unique factors of the numbers don't have to be prime (as in the above example); they just cannot be shared. Here's another example for the numbers 42 and 90
(7 [ 3·2 ) 3·5 ] = (7 [ 6 ) 15] . . . . factors of (42) and [90]
Then the LCM is ...
LCM(42, 90) = 7 × 6 × 15 = 630
_____
Additional comment
What we have called "shared factors" here is the same as the "greatest common divisor"(GCD) or "greatest common factor" (GCF).
If we divide our little diagram so it shows the product of the two numbers:
(42)[90] = (7×6)·[6×15]
we can see that the LCM is the quotient of the product and the GCD.
LCM(A, B) = A·B/GCD(A, B)
This is an occasionally handy relationship, as it is not difficult to find the GCD of a pair of numbers using Euclid's algorithm.
Find the center and radius of the circle whose equation is given below: (x-1/2)2+(y-6)2=5
9514 1404 393
Answer:
center: (1/2, 6)
radius: √5
Step-by-step explanation:
The standard form equation for a circle of radius r and center (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
When we compare this to the given equation:
(x -1/2)^2 +(y -6)^2 = 5
we see that h=1/2, k=6, and r^2=5.
The center is (h, k) = (1/2, 6); the radius is √5.
A random sample of 432 voters revealed that 100 are in favor of a certain bond issue. A 95 percent confidence interval for the proportion of the population of voters who are in favor of the bond issue is A 100 + 1.96 0.5(0.5) 432 100 + 1.645 0.5(0.5) 432 100 + 1.96 0.231(0.769) 432 0.231 +1.96 0.231(0.769) 432 0.231(0.709) 0.231 +1.6451 432
Answer:
The 95% confidence interval is [tex]0.231 \pm 1.96\sqrt{\frac{0.231*0.769}{432}}[/tex]
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
A random sample of 432 voters revealed that 100 are in favor of a certain bond issue.
This means that [tex]n = 432, \pi = \frac{100}{432} = 0.231[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Confidence interval:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.231 \pm 1.96\sqrt{\frac{0.231*0.769}{432}}[/tex]
The 95% confidence interval is [tex]0.231 \pm 1.96\sqrt{\frac{0.231*0.769}{432}}[/tex]
Can someone help me out? Due today! Solve for x. Assume that lines which appear tangent are tangent. 11&12 please
Answer:
11. C
12. A
Step-by-step explanation:
11. (10 + x + 1)(x + 1) = (x + 5)² (secant-tangent rule)
(11 + x)(x + 1) = (x + 5)(x + 5)
11(x + 1) +x(x + 1) = x(x + 5) +5(x + 5)
11x + 11 + x² + x = x² + 5x + 5x + 25
Add like terms
x² + 12x + 11 = x² + 10x + 25
Collect like terms
x² - x² + 12x - 10x = -11 + 25
2x = 14
2x/2 = 14/2
x = 7
12. (x + 8)(8) = (15 + 9)(9) (secant-secant theorem)
8x + 64 = 216
Subtract 64 from each side
8x = 216 - 64
8x = 152
8x/8 = 152/8
x = 19
Find the measure of the remote exterior angle. (Angles above)
9514 1404 393
Answer:
B. 66°
Step-by-step explanation:
The remote exterior angle (z) is the sum of the measures of the interior angles (x, y).
x + y = z
(5n -19) +(n +7) = (144 -6n)
12n = 156 . . . . . . . . . . . . . . . . . add 6n+12
n = 13 . . . . . . . . . . . . . . divide by 12
Then the measure of the remote exterior angle is ...
m∠z = (144 -6(13))° = (144 -78)°
m∠z = 66°
__
x = 46°
y = 20°
(easy 7th grade math questions please help) find the measure of the indicated angle in each triangle
Step-by-step explanation:
Thei answers in picture
In the standard equation for a conic section Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, if A = C , the conic section in question is a circle
True
False
D+16/3=17 the steps??!!
Answer:
11
Step-by-step explanation:
D+16/3=17 the steps?
1. D+16/3=17
Divide 16/3.
D+6 = 17
2. subtract 6 from both side.
D = 11.
Which expression is equivalent to
(5^-2)(5^-1)
A. -1/125
B. -1/5
C. 1/125
D. 1/5
Answer:
1/125
Step-by-step explanation:
(5^-2)(5^-1) = 5^-3=1/5^3=1/125
can anyone help me with this. please
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2+b^2=c^2
7^2+KL^2=25^2
49+KL^2=625
KL^2=625-49
KL=[tex]\sqrt{576[/tex]
KL=24
take M as reference angle
using tan rule
tan M=/opposite/adjacent
tan M=KL/ML
tan M=24/7
find the standard deviation for this data set 9, 15, 13, 9, 15 round your answer to the nearest tenth
Answer:
3.0Step-by-step explanation:
Sample standard deviation is found by steps below.
Find the mean:
μ = (9 + 15 + 13 + 9 + 15)/5 = 12.2Find deviations from the mean and their squares:
9 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.2415 - 12.2 = 2.8 ⇒ 2.8² = 7.8413 - 12.2 = 0.8 ⇒ 0.8² = 0.649 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.2415 - 12.2 = 2.8 ⇒ 2.8² = 7.84Sum the squares:
10.24*2 + 7.84*2 + 0.64 = 36.8Divide by N - 1 (N - number of samples):
36.8/(5 - 1) = 9.2Square root is the sample standard deviation:
σ = √9.2 = 3.0 (rounded)Use the given data to find the minimum sample size required to estimate the population proportion.
a. Margin of error: 0.004: confidence level: 95% p and q unknown
b. Margin of error: 0.009, confidence level: 99%; p and q unknown
c. Margin of error: 0.01; confidence level: 95%; from a prior study, p is estimated by the decimal equivalent of 52%.
Answer:
a. The minimum sample size required is of 60,025.
b. The minimum sample size required is of 20,465.
c. The minimum sample size required is 9,589.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Question a:
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
p and q unknown means that we use [tex]\pi = 0.5[/tex], which is when the largest sample size is needed.
Margin of error: 0.004
We have to find n for which M = 0.004. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.004 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.004\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.004}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.004})^2[/tex]
[tex]n = 60025[/tex]
The minimum sample size required is of 60,025.
b. Margin of error: 0.009, confidence level: 99%; p and q unknown
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
Margin of error: 0.009
We have to find n for which M = 0.009. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.009 = 2.575\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.009\sqrt{n} = 2.575*0.5[/tex]
[tex]\sqrt{n} = \frac{2.575*0.5}{0.009}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.5}{0.009})^2[/tex]
[tex]n = 20464.9[/tex]
Rounding up:
The minimum sample size required is of 20,465.
c. Margin of error: 0.01; confidence level: 95%; from a prior study, p is estimated by the decimal equivalent of 52%.
Here we have [tex]\pi = 0.52[/tex].
The minimum sample size is n for which M = 0.01. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 1.96\sqrt{\frac{0.52*0.48}{n}}[/tex]
[tex]0.01\sqrt{n} = 1.96\sqrt{0.52*0.48}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.52*0.48}}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.52*0.48}}{0.01})^2[/tex]
[tex]n = 9588.6[/tex]
Rounding up:
The minimum sample size required is 9,589.
100-19+20+200= what is the answer for this question
Answer:
301
Step-by-step explanation:
Heres ow you do it,
1- 100-19= 81
2- 81+20= 101
3- 101+200= 301
Hope this helps!!! :)
Order the following numbers from greatest to least:
0.42,4.2%,
2
4.1 x 101
9
Answer:4,1x101, 9, 4.1, 2, 0.42, 0.042
Step-by-step explanation:
The principal is Rs.30,000 the interest rate is 12%. Calculate the total value after 2 year
using compound interest.
Answer:
37632
Step-by-step explanation:
An=A(1+12%)²
Giải phương trình vi phân
xy^'-y(ylnx-1)=0
thỏa y(1)=1/2.
Это ДУ Бернулли, все детали на фото.
What is the answer to this answer fast
Answer:
Hello! answer: 13
Step-by-step explanation:
12 × 12 = 144
5 × 5 = 25
144 + 25 = 169
√169 = 13
13 × 13 = 169 therefore the length of the missing side is 13 hope that helps!
There are 15 books on a shelf. 9 of these books are new. The rest of them are used. what is the ratio of all books
Answer:
a)15:6 b)2:3
Step-by-step explanation:
No. of used books=15-9=6
a) 15:6
b)
6:9
2:3
The RADIUS of the barrel is 2.
What is the circumference of the barrel?
Step-by-step explanation:
the required formula is C = 2(pi)r.
Here that comes to 6.28(2 units), or 12.56 units.
Find the volume plzzzzz thx
Answer:
144 isnt it? 6x6x4 length x width x height it should be 36x4
Step-by-step explanation i dont know sorry
A density curve for all the possible ages between 0 years and 50 years is in the shape of a triangle. What is the height of the triangle? O A. 0.04 O B. 0.02 O c. 0.01 O D. 0.08 SUBMIT
Answer:
0.04
Step-by-step explanation:
For a density curve, total area = 1
Probability lies in between 0 and 1
The Area of triangle :
Area = 1/2 base * height
Base = 0 - 50 = 50
Area = 1
Hence,
1 = 1/2 * 50 * h
1 = 50h / 2
2 = 50h
h = 2 / 50
h = 0.04
When you multiply a number by 6 and subtract 5m the product ,you get 7. find the number.
with solution
Answer:
x = 2
Step-by-step explanation:
Let the number be x
When we multiply a number by 6 and subtract it by 5, we would get 7.
On multiplication of number x with 6 it will be 6x.12
On subtraction of 5 it will be 6x - 5
6x - 5 = 7
6x = 7 + 5
6x = 12
x = 12/6
x = 2
Answer:
The number is 2
Step-by-step explanation:
Let the number be n
Multiply the number by 6 = 6n
Subtract 5 from the number , 6n - 5
And we get 7
So , the expression : 6n - 5 = 7
6n = 7 + 5
6n = 12
n = 2
Find the missing length indicated
Answer:
The missing length is 80 degrees.
Step-by-step explanation:
Every triangle is equal to 180 degrees. If you add 64 and 36, you get 100. 180-100 is equal to 80, therefor x is equal to 80.
9.
Los conjuntos de parejas ordenadas son ejemplos de funciones, excepto:
A) {(1, 1), (2, 1), (3, 1).(4.1).(5, 1))
B) ((0, 1). (1.2). (2,4), (3.9). (4.16))
C) f(-2, 1), (-1,0), (0, 1).(-1,2), (2, 2))
D) ((-2,-3), (-1,-1). (0, 1), (1,3). (2.5))
Una función se define como un conjunto de parejas ordenadas (x, y) donde no se repite el valor de "x" (corresponde al dominio de la función) En el caso específico del ejercicio, la alternativa C no corresponde con una función ya que tienen dos parejas con el mismo valor de "x": {(-2,1), (-1,0), (0,1), (-1,2), (2,2)} Estos pares están en negrita, y el valor repetido subrayado.
A culture started with 3,000 bacteria. After 6
hours, it grew to 3,600 bacteria. Predict how
many bacteria will be present after 13 hours.
Round your answer to the nearest whole
to four
number,
P - Aekt
BRAINIEST AND 10 POINTS
Answer:
Last answer is correct..
Part A: Elijah has 1/2 bag of candy. A bag of candy weighs 5 pounds. How many pounds of candy does Elijah have?
Part B: Elijah has 2 1/2 bags of candy. A bag of candy weighs 5 pounds. How many pounds of candy does Elijah have?
Answer:
A. 2.5 pounds
B. 12.5 pounds
Step-by-step explanation:
Answer:
a 2.5 b 12.5
Step-by-step explanation:
HELP PLSSSSSSSSSSSSSS!!!!!!!!!!!!!! I will Give Brainlyest!!!
Answer:
[tex]\frac{21}{8}[/tex]
Step-by-step explanation:
[tex]6\frac{1}{4}=6+\frac{1}{4}=\frac{25}{4}\\\\3\frac{5}{8}=3+\frac{5}{8}=\frac{29}{8}\\[/tex]
finally
[tex]6\frac{1}{4}-3\frac{5}{8}=\frac{25}{4}-\frac{29}{8}=\frac{21}{8}[/tex]
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?
Answer:
[tex]77[/tex]
Step-by-step explanation:
The troop wants to sell a minimum of 1,000 boxes, so we're looking for the smallest number of boxes they can sell and still meet the goal. Since there are 13 girls in the troop, take the ceiling (round up to the nearest whole number) of 1,000 divided by 13:
[tex]\left\lceil \frac{1,000}{13}\right\rceil=\boxed{77}[/tex]
fraction math kids picked 124 strawberries gave 1/4 of strawberries to their neighbor and their mother used f 2/4 of the strawberries in a pie rest was saved for snack how many does the family have to snack on
Answer:
The family has 1/4 of the strawberries left to snack on, or 31 left to snack on.
Step-by-step explanation:
Since they gave away 1/4 of the strawberries to their neighbor, and the others were used in a pie, that means that 1/4 of the strawberries remain. You do 124/4 in which 1/4 of that is 31, since 31x4 is equal to 124.