Answer:
69/195
Step-by-step explanation:
So u add 24 and 16 to find the total number of people who are there
The total is 40
If they want at least 2 girls
So one of the probability for one girl is 24/40 which is 3/5
The other probability of another girl is 23/39
So u multiply 23/39 by 3/5 which is 69/195
Correct me if this is wrong
Sorry
Answer:
30.77%.
Step-by-step explanation:
There are a total of 40 members.
24 girls 16 boys.
Prob( 0 girls being chosen - so all boys ) = 16/40 * 15/39*14/38* 13/37*12/36 = 0.0063956
Prob( first one to be chosen is a girl then all boys) = (24/40*16/39*15/38*14/37*13/36) = 0.013276
There are 5 ways of 1 girl being chosen so
Prob(1 girl out of 5 chosen) = 0.013276 * 5 = 0.06638
Prob( First 2 chosen are girls then all boys) = 24/40 * 23/39 * 16/38*15/37*14/36
= 0.023489
Number of ways of 2 girls being chosen is 5C2 and so the probability of 2 girls
= 0.023489 * 5C2
= 0.023489 * 10
= 0.23489.
Required probability = 0.23489 + 0.06638 + 0.0063956.
= 0.3076656
= 30.77% to the nearest hundredth.
Answer quickly please
Answer:
x=6
Step-by-step explanation:
......................
Answer:
x=6
Step-by-step explanation:
7x+2y = 48
Let y = 3
7x +2(3) = 48
7x+6 = 48
Subtract 6 from each side
7x+6-6 = 48-6
7x = 42
Divide each side by 7
7x/7 = 42/7
x = 6
You are given the steps for constructing the bisector of an angle using a compass and a straightedge. Arrange the steps in the correct sequence
Step-by-step explanation:
position your compass at point A and using the same distance mark arcs on line AB(mark the point it meets the line D)and AC(mark the meeting point of the arc and the line E).Place your compass at D and draw an arc at the middle of the angle,using the same measurements position your compass at point E and draw an arc.Where the two arcs meet label F using a ruler draw a straight line from F to meet point A.
Note;the width of the compass when making the arcs should be the same always
Find the 11th term of the geometric sequence 1, 3, 9, ....
Answer:
So lets calculate, we know that the common multiplier is 3. So we can use the geometric sequence formula.
(ar)^(n-1)
So we have 1*3 = 3. 3 to the power of 11-1 = 10. So our answer is 3^10 or 59049. Thats the answer
59049The 11th term of the geometric progression is 59049
What is Geometric Progression?
A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
The first term of the geometric progression is a = 1
The common ratio r = second term / first term
= 3/1
= 3
The number of terms n = 11
So , the equation to calculate the nth term of a GP is
aₙ = arⁿ⁻¹
Substituting the value of a , n and r we get
a₁₁ = ar¹¹⁻¹
a₁₁ = ar¹⁰
a₁₁ = 3¹⁰
a₁₁ = 59049
Therefore the value of a₁₁ is 59049
Hence , The 11th term of the geometric progression is 59049
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Which sum does the model below represent?
+
+
+
OOOOO
a. 4+ (-7) = -3
b. 4 + 7 = 11
c. 8+(-3) = 4
d. 11+ (-4) = -3
What is the measure of < B, in degrees?
Answer:
B. 32°
Step-by-step explanation:
Since two of the sides are 10 in length, then we can infer that ∠A and ∠C are congruent. So, both equal 74°. You add 74 + 74 + x = 180, x would equal 32°.
Answer:
B
Step-by-step explanation:
sum of angle in triangle is 180
and since its isosceles triangle, it means <C will be same with <A
so we know that A + C = 148.
so the value of B will be like this
B = 180° - (A+C)° = 180 - 148 = 32°
What is an equation of the line that passes through the point (-1,2) and is parallel
to the line 3x + y = 3?
Answer:
y = - 3x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + y = 3 ( subtract 3x from both sides )
y = - 3x + 3 ← in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, thus
y = - 3x + c ← is the partial equation
To find c substitute (- 1, 2) into the partial equation
2 = 3 + c ⇒ c = 2 - 3 = - 1
y = - 3x - 1 ← equation of parallel line
The required equation of line which passes through points (-1, 2) and parallel to line 3x + y = 3 is 3x + y = -1
What is slope ?Slope is a notation that shows that a surface of which one end or side is at a higher level than another surface.
y - y₁ = m(x - x₁)
The given equation of line,
3x + y = 3,
The slope of the given line is -3,
The equation of the line that passes through points (-1, 2) and which is parallel to line 3x + y = 3
The slope of the required line will be same as slope of line 3x + y = 3.
The equation of line,
y - 2 = -3 (x - (-1))
y - 2 = -3 (x + 1)
y - 2 = -3x - 3
3x + y = -1
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I need help ASAP!!!!
Answer:
look on symbolab got my answer from there'
Step-by-step explanation:
determine the volume of a sphere with a diameter of 1.30m in maths
Answer:
1.15 m³
Step-by-step explanation:
i hope its correct and i hope its helpful
Step-by-step explanation:
hey can yuh show work by step by step...since its hard plzz
town B is 40 km due north of town a what is the bearing of a from B
Answer:
180°
Step-by-step explanation:
In bearing the protractor is placed in the North-South direction(eastside) thus directly north is on a bearing of 0°.After you mark the point B. A will be directly south which is on a bearing of 180°
what is 2y to the power of 4 times 5y to the power of 5
please help 12 points reward
Answer:
50000y^9.
Step-by-step explanation:
(2y)^4 * (5y)^5
= 2^4 y^4 * 5^5 y^5
= 16y^4 * 3125y^5
= 50000y^9.
b) Find the value of 2a2 + 5b2 when a = -6 and b = 2
Answer:
-4
Step-by-step explanation:
2a2+5a2
2(-6)2=-24
5(2)2=20
-24+20=-4
Answer: -4
Step-by-step explanation:
(2x-6×2)(5×2×2)
-24+20
-4
Explain the difference between perimeter and area. What do they measure? What types of units are they measured in? NEED ANSWER STAT!!!!!
In a competition, 5 people can eat 20 steamed buns in 3 minutes 20 seconds.
Assuming that everyone consumes steamed buns at the same rate and that
the rate of consumption remains constant throughout the competition, find the
number of steamed buns 10 people can eat in 5 minutes.
Answer:
60 buns
Step-by-step explanation:
Assuming that the 5 people eat 20 steamed buns between them and not each, that is an average of 4 buns per person. this means that they eat one bun every 50 seconds. therefore, in 5 minutes one person can eat a total of 6 buns, meaning 10 people can eat 60.
Mehmut is 4 times as old as his brother, but
next year he will be only 3 times as old. Find
Mehmut's age now?
ALICIA CONYERS
7:20 AM
Answer:
Mehmut is 8 years old.
Step-by-step explanation:
From the statement we can get the following information, let M be Mehmut's age and b brother's age:
M = 4 * b
M + 1 = 3 * (b + 1)
We replace the first equation in the second and we are left with:
4 * b + 1 = 3 * b + 3
4 * b - 3 * b = 3 - 1
b = 2
Now, we replace to calculate M:
M = 4 * b
M = 4 * 2
M = 8
Mehmut is 8 years old.
How many cubes are needed to build the base of this structure?
A.6
B.3
C.5
D.4
Answer: C.5
The answer is 5.
Why is there a twenty character minimum on brainly? what a stupid idea
I agree with the other person. The answer is C 5 which can be shown in the diagram below.
The red outlines mark these blocks. Note that the upper two red blocks in the far right portion are underneath a set of blocks that are on the second story of this "building" of sorts.
write 3/10 as a divison
Answer:
0.3
Step-by-step explanation:
3/10 = 3 : 10 = 0,3
Inscribed Angles - Find the value of x - WILL GIVE BRAINLIEST!
[tex]answer = 136 °\\ solution \\ x + 44 = 180(opposite \: angles \: of \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: a \: cyclic \: quadrilateral \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: are \: supplementary) \\ or \: x = 180 - 44 \\ x = 136° \\ hope \: it \: helps[/tex]
1)If the coefficient of anyone of the variables is zero, what will be the nature if the equation? 2)What is a solution of a system of equations?
Answer:
1) If the coefficent of any variable is zero then the answer of the variable is 0.
2) There are two answers in a system of equations.
Exactly 1 1/3 yard of ribbon is needed to make a bow. Which of the following lengths of ribbon could be used to make a bow with the least amount remaining?
The answer choice which could be used to make a bow with the least amount remaining is; 1 2/5 yards.
Which Length of ribbon renders the least remainder?It follows from the task content that the amount of ribbon remaining in each case can be evaluated as follows;
For 1 2/5 yards: 1 2/5 - 1 1/3 = 1/15. renders only 1/15 a yard to waste.
For 1 and 1/6 yards would render a waste of 1 1/6 yards since it is not possible to make a ribbon out of it.
1 2/10 yards would render a waste of 1 and 1/5 yards since it is not possible to make a ribbon out of it.
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11x+5y=9
11x+3y=1
It's simutanios equation substitution
Answer:
(-1, 4)
Step-by-step explanation:
11x+5y=9
11x+3y=1
subtract side-by-side
5y-3y= 9-12y=8y=411x+20=911x= -11x=-1A carton contains 20 shirts , of which q are made of pure cotton. After 4 more pure cotton shirts are added to the carton, the probability of drawing a pure cotton shirt becomes 3/4 , find the value of q.
Answer:
The value of q = 11
Step-by-step explanation:
Number of pure cotton shirts = [tex]\frac{4+q}{20}[/tex]
Probability of drawing pure cotton shirts = [tex]\frac{4+q}{20}[/tex] = [tex]\frac{3}{4}[/tex]
Substituting the above problem = 4(4 + q) = 3 x 20
= 16 + 4q = 60
= 4q = 60 - 16 = 44
= q = [tex]\frac{44}{4}[/tex]
∴ q = 11
plz hlp meeeee calculate the scale factor of ABC to XYZ. Enter answer as a whole number or as a fraction in lowest terms using the slash mark (/) for the fraction bar
Answer:
The scale factor is 1/5
Step-by-step explanation:
Each of the lengths of the lengths of this triangle are divided by 5 (or multiplied by 1/5)
find the area of a rectangle with a width of 16 centimeters and a length of 55 centimeters
Answer:
The area of the rectangle is 880 cm
Step-by-step explanation:
Lenght = 55cm
Breadth/width=16cm
Area of rectangle= lenght×breadth
Area= 55×16
Area= 880
Hence, area of rectangle is 880cm
P.S - Mark me as the brainliest :D
A number is selected from the set (1, 2, 3, 5, 15, 21, 29, 38, 500). If equal elemental probabilities are assigned, what is
the probability that the number chosen is either less than 29 or odd?
Answer:
[tex]\frac{7}{9}[/tex] OR 77.78%
Step-by-step explanation:
So, we first need to find out how many numbers fit the "less than 29 or odd" group.
This would be: 1, 2, 3, 5, 15, 21, and 29, which is a total of 7 numbers.
Next, we figure out the total amount of numbers in the population.
This would be: 1, 2, 3, 5, 15, 21, 29, 38, and 500, which is a total of 9 numbers.
Finally, we put the first number (7) over the total (9) = [tex]\frac{7}{9}[/tex]
[tex]\frac{7}{9}[/tex] is now able to be written in a percentage, if you need.
The probability is [tex]\frac{7}{9}[/tex] OR 77.78%
Point B has coordinates (3,2). The x-coordinate of point A is negative 9. The distance between point A and point B is 15 units. What are the possible coordinates of point A?
Answer:
(-9,9) or (-9,-7) are the possible coordinates
Step-by-step explanation:
We can use the formula for the distance between two points to get this
Mathematically, this can be;
d = √(x2-x1)^2 + (y2-y1)^2
Now let our point A be (x1,y1) = (-9,n)
let’s say y1 is n for now
For point B, we have (x2,y2) = (3,2)
and our d is 15 units
Inputing the values, we have
15^2 = (3+9)^2 + (2-n)^2
225 = 144 + (2-n)^2
225-144 = (2-n)^2
(2-n)^2 = 81
(2-n) = √(81)
2-n = -9
or 2-n = 9
n = 11 or n = -7
Now the possible coordinate values of point A are;
(-9,9) or (-9,-7)
Answer:
Step-by-step explanation:The distance between points is given by the following equation:
d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
Substituting we have:
15 = root ((- 9 -3) ^ 2 + (a-2) ^ 2)
We clear the value of a:
(15) ^ 2 = (root ((- 12) ^ 2 + (a-2) ^ 2)) ^ 2
225 = (- 12) ^ 2 + (a-2) ^ 2)
Rewriting:
225 = 144 + (a-2) ^ 2
225-144 = (a-2) ^ 2
81 = (a-2) ^ 2
a-2 = +/- root (81)
a = +/- 9 + 2
The possible values are:
a1 = 9 + 2 = 11
a2 = -9 + 2 = -7
Then, the possible coordinates of point a are:
(-11, 11)
(-11, -7)
Answer:
the possible coordinates of point a are:
(-11, 11)
(-11, -7)
The range of which function is (2,00)?
Answer:
the range of the function is ∞
a) Work out the sizes of the unknown angles and label them on
the diagram.
d
63°
a
b
C
h
e
g
Answer:
b/e/g=63
d/c/f/h=117
Step-by-step explanation:
b , e and g=63
d,c,f, and h = 63
Answer:
a=b=e=g= 63°
d=c=h=f= 180°-63°= 117°
Sarah is carrying out a series of experiments which involve using mcreasing amounts of a chemical. In the
first experiment she uses 6g of the chenucal and in the second experiment she uses 7.8 g of the chemical
( Given that the amounts of the chemical used form an anthmetic progression find the total amount of
chemical used in the fust 30 experiments
() instead it is given that the amounts of the chemical used for a geometric progression Sarah has a
total of 1800 g of the chemcal avadlable show that the greatest muumber of experiments possible.
Satisfies the inequality
and use logarithms to calculate the sale of N
Sarah is carrying out a series of experiments which involve using increasing amounts of a chemical. In the first experiment she uses 6g of the chemical and in the second experiment she uses 7.8 g of the chemical
(i)Given that the amounts of the chemical used form an arithmetic progression find the total amount of chemical used in the first 30 experiments
(ii)Instead it is given that the amounts of the chemical used for a geometric progression. Sarah has a total of 1800 g of the chemical available. Show that the greatest number of experiments possible satisfies the inequality: [tex] 1.3^N \leq 91[/tex] and use logarithms to calculate the value of N.
Answer:
(a)963 grams
(b)N=17
Step-by-step explanation:
(a)
In the first experiment, Sarah uses 6g of the chemical
In the second experiment, Sarah uses 7.8g of the chemical
If this forms an arithmetic progression:
First term, a =6g
Common difference. d= 7.8 -6 =1.8 g
Therefore:
Total Amount of chemical used in the first 30 experiments
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d] \\S_{30}=\dfrac{30}{2}[2*6+(30-1)1.8] \\=15[12+29*1.8]\\=15[12+52.2]\\=15*64.2\\=963$ grams[/tex]
Sarah uses 963 grams in the first 30 experiments.
(b) If the increase is geometric
First Term, a=6g
Common ratio, r =7.8/6 =1.3
Sarah has a total of 1800 g
Therefore:
Sum of a geometric sequence
[tex]S_n=\dfrac{a(r^N-1)}{r-1} \\1800=\dfrac{6(1.3^N-1)}{1.3-1} \\1800=\dfrac{6(1.3^N-1)}{0.3}\\$Cross multiply\\1800*0.3=6(1.3^N-1)\\6(1.3^N-1)=540\\1.3^N-1=540\div 6\\1.3^N-1=90\\1.3^N=90+1\\1.3^N=91[/tex]
Therefore, the greatest possible number of experiments satisfies the inequality
[tex] 1.3^N \leq 91[/tex]
Next, we solve for N
Changing [tex] 1.3^N \leq 91[/tex] to logarithm form, we obtain:
[tex] N \leq log_{1.3}91\\N \leq \dfrac{log 91}{log 1.3}\\ N \leq 17.19[/tex]
Therefore, the number of possible experiments, N=17
please help!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
C is the correct answer because the other 3 points are not correct when you put the numbers into the equation.
y = 16 + 0.5x
20 = 16 + 0.5(8)
20 = 20
is the line through points P(-3,-2) and Q(2,3) perpendicular to the line through points R(10,-1) and S(15,-6)
Answer:
hope this helps you
We want to see if the two given lines are perpendicular or not.
We will see that yes, the lines are perpendicular.
First, let's define a general linear equation, it is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Two lines are perpendicular if the slope of one is equal to the inverse of the opposite of the slope of the other.
Also, if a line passes through two points (x₁, y₁) and (x₂, y₂) then the slope of the line is given as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So we can get the slopes of the two given lines, for line PQ we have:
[tex]a = \frac{3 - (-2)}{2 - (-3)} = 1[/tex]
For line RS we have:
[tex]a = \frac{-6 - (-1)}{15 - 10} = -1 = -(1/1)[/tex]
So you can see that the slope of line RS is equal to the inverse of the opposite of line PQ.
Then yes, the lines are perpendicular.
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