Answer: 5/30 chance of it happening
Step-by-step explanation:
The probability is 5/30 chance of it happening.
We have given that,
In a class of students, the following data table summarizes how many students have a brother or a sister.
We have to determine the probability that a student chosen randomly from the class has a sister.
What is the formula for probability?The probability is the ratio of the number of favorable outcomes to the total outcomes in that sample space. It is expressed as, Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).
Therefore the probability is 5/30 chance of it happening.
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the area of a square room is 144square metres what is the perimeter of the room
Answer:
the answer is 48
Step-by-step explanation:
12×12=144
4×12=48
PLEASE HELP! WILL GIVE BRAINLIEST! After substituting, what is the first step when evaluating 4y+9 when y=82 O Add 4 and 9. O Multiply 8 by 4. O Divide 9 by 7 O Divide 4 by 7.
Answer:
The answer is c
Step-by-step explanation:
Round two decimal places
729015430.40641995
Answer:
729015430.40641995 = 729015430.41
Step-by-step explanation:
Since the 3 decimal place is 6, you round up. If you round up for 0 you get 1. Therefore your answer is 729015430.41.
Use trigonometric identities to simplify the expression.
cot(β+π)sin(β
Answer:
cosβ
Step-by-step explanation:
cot(β+π)sinβ
cot(x)=cos(x)/sin(x), so we can rewrite our expression as:
(cos(β+π)/sin(β+π)) * sinβ
sin(a+b)=sin(a)cos(b)+cos(a)sin(b), so we can rewrite our expression as:
(cos(β+π)/(sinβcosπ+cosβsinπ)) * sin(β)
cos(a+b)=cos(a)cos(b)-sin(a)sin(b), so we can rewrite our expression as:
(cosβcosπ-sinβsinπ)/(sinβcosπ+cosβsinπ)) * sin(β)
cosπ=-1 and sinπ=0, so we can rewrite our expression as:
(-cosβ)/(-sinβ) * sin(β)
(-cosβ)/(-sinβ) * sin(β)
=(cosβ/sinβ)(sinβ)
=cosβ
A 12-pound bag weighs more than a 200-ounce bag. True or false
Answer:
false
Step-by-step explanation:
200oz= 12.5 pounds
Answer:
false
Step-by-step explanation:
12 pound=192 ounces
Need help ASAP ..... Which of the following pairs best describes a transformation of Figure 1 into Figure 2 followed by a transformation of Figure 2 into Figure 3 ?
Answer:
reflection reflection
Step-by-step explanation:
rotation doesn't make sense and there is no indication of a center of rotation.
so the obvious answer is reflection reflection
How many lines of symmetry does the figure below have?
Answer:
C
Step-by-step explanation:
there are 4 of the exact same line going in 4 directions
Can someone please help me I am a no brain and very dum
Suppose 12% of students surveyed said they have tried riding a zip line.
a. How many would say they have tried riding a zip line if 100 students were surveyed.
If I paid $2.50 in taxes on a $45 item, what percentage rate of taxes did I pay?
Answer:
47.05
Step-by-step explanation:
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Annual starting salaries for college graduates with degrees in business administration are generally expected to have a population standard deviation of $3,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. How large a sample should be taken if the desired margin of error is (a) [1 pt] $500
Answer:
A sample of 139 should be taken.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Population standard deviation of $3,000.
This means that [tex]\sigma = 3000[/tex]
How large a sample should be taken if the desired margin of error is $500?
A sample of n is needed.
n is found when M = 500. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]500 = 1.96\frac{3000}{\sqrt{n}}[/tex]
[tex]500\sqrt{n} = 1.96*3000[/tex]
Dividing both sides by 500
[tex]\sqrt{n} = 1.96*6[/tex]
[tex](\sqrt{n})^2 = (1.96*6)^2[/tex]
[tex]n = 138.3[/tex]
Rounding up:
A sample of 139 should be taken.
Kinetic energy is expressed using the unit
A. Meters
b.Meters per second square
C. Joule per second
d Joule
Answer:
C or d
Step-by-step explanation:
kinetic energy is the energy a body possesses due to its motion because it is energy, kinetic energy it expresses the unit of joules. Velocity is very similar to speed. The difference is that Velocity is the speed in the given direction
2x1+0x2+3x3=3
4x1-3x2+7x3=5
8x1-9x2+15x3=10
solve the system using Gaussian or Gauss-Jordan elimination
[1] … … 2x₁ + 0x₂ + 3x₃ = 3
[2] … … 4x₁ - 3x₂ + 7x₃ = 5
[3] … … 8x₁ - 9x₂ + 15x₃ = 10
Since [1] is already free of x₂, you might as well start by eliminating x₂ from the other two equations. Add -3 times [2] to [3] :
-3 (4x₁ - 3x₂ + 7x₃) + (8x₁ - 9x₂ + 15x₃) = -3 (5) + 10
-12x₁ + 9x₂ - 21x₃ + 8x₁ - 9x₂ + 15x₃ = -15 + 10
-4x₁ - 6x₃ = -5
[4] … … 4x₁ + 6x₃ = 5
Now eliminate x₃ in [1] and [4]. Add -2 times [1] to [4] :
-2 (2x₁ + 3x₃) + (4x₁ + 6x₃) = -2 (3) + 5
-4x₁ - 6x₃ + 4x₁ + 6x₃ = -6 + 5
0 = -1
which is a contradiction. This means the system has no solution.
For which of the following sample sizes is the sample median most likely to be above $250,000?
A. n = 10
B. n = 50
C n = 100
D. n = 1000
E Impossible to determine without more information
Answer:
A. n=10
Step-by-step explanation:
your welcome
Answer:
n=100
Step-by-step explanation:
In a residential neighborhood, the median value of a house is $200,000. For which of the following sample sizes is the sample median most likely to be above $250,000? That was the exact question I had on the quiz. I'm not sure why it is n=100, but I got it correct.
Ten field hockey teams are competing in a tournament. Only the top three teams will be recognized as the first place, second place and third place winners. In how many ways could the ranking of the top three teams occur?
Answer:
The ranking of the top three teams could occur in 720 ways.
Step-by-step explanation:
The order in which the teams are ranked is important, that is, for example, Oilers, Flames and Canucks is a different outcome of Oilers, Canucks and Flames. This means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In how many ways could the ranking of the top three teams occur?
Three teams from a set of 10. So
[tex]T = P_{(10,3)} = \frac{10!}{7!} = 720[/tex]
The ranking of the top three teams could occur in 720 ways.
Rule 1: Add 7 starting from 0. Rule 2: Multiply by 2 starting from 8. Select the option that correctly shows the first 5 terms of each sequence.
Question 5 options:
First sequence: 0, 6, 12, 18, 24 and second sequence: 0, 8, 16, 32, 64
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 14, 28, 56, 112
First sequence: 14, 21, 28, 35, 42 and second sequence: 8, 16, 32, 64, 128
Answer:
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128
Answer:
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128
Step-by-step explanation:
Please help, test due in 1 hour! I will give good review and brainliest. :)
Answer:
Step-by-step explanation:
this is about the volume of each size of candle. so the area of the circle , times the height of the candle is the amount of wax needed or it's volume.
area of a circle is = [tex]\pi[/tex][tex]r^{2}[/tex]
then the big candle is [tex]\pi[/tex][tex]2^{2}[/tex] = 12.56637
times 10 for it's height = 125.6637
so that's the big candles volume
then make 20 of those = 2513.27
a small candle is [tex]\pi[/tex][tex]1.5^{2}[/tex] = 7.068583471
and it's 6 cm tall so times 6 = 42.41150082
Now divide the small candle volume into the 20 big ones to see how many small ones can be made
2513.27 / 42.41150082 = 59.259
so just a bit over 59 small candles can be made from 20 big candles
Find the a. Median b. Median c. Mode and d. Range of the following scores 60, 70, 90, 70, 80, 65, 95, 80, 100, 60
Answer:
median-75
mode-70
range-40
mean-77
Step-by-step explanation:
Please help!!
Find the coordinates of the vertex of the following parabola algebraically. Write your
answer as an (x, y) point.
y = 4x + 56x + 192
Answer:
The vertex of the parabola = (-7 , -4)
Step-by-step explanation:
Step(i):-
Given that the parabola y = 4 x² + 56 x +192
y = 4 (x² + 14 x + 48 )
y = 4 ( x² + 2 × 7 (x) + 49-1)
y = 4 ( x² + 2 × 7 (x) + 49)- 4
we apply the formula
(a +b)² = a² + 2ab + b²
y = 4 ( x + 7 )² - 4
Step(ii):-
The general form of the parabola in algebraically
y = a ( x-h)² +k
The equation
y = 4 ( x + 7 )² - 4
y = 4 ( x-(-7))² - 4
The vertex of the parabola (h,k) = (-7 , -4)
Final answer:-
The vertex of the parabola = (-7 , -4)
What is the probability of choosing a clubs or a numbered card from a deck of cards? Type your answer as a fraction.
Answer:
13/52
Step-by-step explanation:
Using the graph, determine the coordinates of the vertex of the parabola.
Find Value of x. The diagram is not to scale.
Answer:
x = 45
Step-by-step explanation:
180 - 106 = 74
74 + 61 = 135
180 - 135 = 45
45 = x
Write an explicit formula for an, the n^th term of the sequence 22, 20, 18, ....
Answer:
[tex]a_n=a+(n-1)d[/tex]
Step-by-step explanation:
The given sequence is 22, 20, 18, ...
We need to find the explicit formula for an.
First term is 22
Second term = 20
Third term = 18
We can write the formula as :
[tex]a_n=a+(n-1)d[/tex]
Where
a is 22
d is common difference = 20-22 = -2
Forth term will be :
[tex]a_4=22+(4-1)(-2)\\\\=22-6\\\\=16[/tex]
Hence, the formula is [tex]a_n=a+(n-1)d[/tex].
please help! what is the measure of each central angle?
Answer:
9.3
Step-by-step explanation:
A ball is dropped from the top of a building that is 250 feet tall. The
height h of the ball in feet after t seconds is modeled by the function h =
- 16t2 + 250. How long will it take for the ball to reach a height of 75
feet? Round to the nearest tenth.
hi
-16t²+250 = 75
-16t² = 75 -250
-16t² = -175
t² = -175 /-16
t² = 175/16
Here there si two solutions : t = [tex]\sqrt{175/16}[/tex] and t = - [tex]\sqrt{175/16}[/tex]
However, as time cannot rewind, we will keep only positive solution
So t = [tex]\sqrt{175/16}[/tex]
in seconds it will be : 3.3 seconds
The slope of the line whose equation is 2x + 5y + 1 = 0 is
0-2/5
05/2
0-1/5
Answer:
0-2/5
I think this is it ;-;
Factorise the following expression:
[tex] {a}^{2} + 10a + 24[/tex]
Step-by-step explanation:
[tex]a^{2} + 10a + 24[/tex]
= [tex]a^{2}[/tex] + 6a + 4a + 24
= a(a + 6) + 4(a + 6)
= (a + 6)(a + 4)
Answer:
solution:
[tex] {a}^{2} + 10a + 24[/tex]
a²+6a+4a+24
a(a+6)+4(a+6)
(a+6)(a+4) is your answer
Solve for x.
4x + 6
4x + 6
x = [?]
Answer:
21
Step-by-step explanation:
4x+6+4x+6=180
8x+12=180
8x=168
x=21
Answer:
X=21
Step-by-step explanation:
Well since its just a right angle you really gotta only solve for one since their their the same things.
4x+6=90
Solve the equation
x=21
Even if you do the two together with 180, same thing.
Taylor had a bag of 28 marbles. 5 red, 9 blue, 8 yellow, and 6 black. If Taylor pulled out a yellow one and DID NOT put it back in. What is the probability of pulling out a blue marble (SIMPLIFY YOUR FRACTION). /
Answer:
The probability of pulling out a blue marble is 33.3%.
Step-by-step explanation:
Given that Taylor had a bag of 28 marbles, which were 5 red, 9 blue, 8 yellow, and 6 black, if Taylor pulled out a yellow one and did not put it back in, to determine what is the probability of pulling out to blue marble the following calculation must be carried out:
28 - 1 = 27
9/27 = X
0.333 = X
0.333 = 33.3%
Therefore, the probability of pulling out a blue marble is 33.3%.
Need help
1. 15% of what number is 6?
2. 25 is 10% of what number
3. 49 is 35% of what number
4. What is 310% of 65
Thanks
Answer:
1. 40
2. 40
3. 140
4. 210.5
I tried, hope this helps :)
A jewerler had a fixed amount of gold
Answer:
ohhhhh and who is the jeweler