Probability helps us to know the chances of an event occurring. The probability distribution of a girl child being born can be drawn as given below.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
As it is given to us that the possible genders of the children,
S = {BB, BG, GB, GG},
And we know that the probability of a girl child can be found using the formula of probability, now, finding the probability of the girl child,
A.) The probability that there is no girl child born,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]
[tex]\rm P(X=0)=\dfrac{\text{Outcomes in which no girl child is born}}{\text{All the possible values}}[/tex]
[tex]\rm P(X=0)=\dfrac{1}{4} = 0.25[/tex]
B.) The probability that there is one girl child is born,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]
[tex]\rm P(X=1)=\dfrac{\text{Outcomes in which one girl child is born}}{\text{All the possible values}}[/tex]
[tex]\rm P(X=1)=\dfrac{2}{4} = 0.5[/tex]
C.) The probability that there is two girl child is born,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]
[tex]\rm P(X=2)=\dfrac{\text{Outcomes in which two girl child is born}}{\text{All the possible values}}[/tex]
[tex]\rm P(X=2)=\dfrac{1}{4} = 0.25[/tex]
The probability distribution of a girl child being born can be drawn as given below.
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Answer:A
Step-by-step explanation:
Simplify the expression 7+(9+x)
Answer: = 16 + x
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Step-by-step explanation:
==============================================================
Combine Like Terms:-
[tex]\bigstar{\boxed{\pmb{7+9x+x}}[/tex]
[tex]\bigstar{\boxed{\pmb{16+x}}[/tex]
Are there any more like terms? No, because 16 & x aren't like terms.
========================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly comment, and I will comment and/or edit my answer :)
THIS IS VERY NEEDED! I AM VERY CONFUSED AND I HAVE A TEST PLEASE HELP ME! I WILL GIVE BRAINLIEST AND 20 POINTS IS OFFERED!
Answer:
the answer is -6.8°
Step-by-step explanation:
-36°+-25°+12°+-3°+18°/5°
-34°÷5°=-6.8°
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Check
Match the algebraic expression on the left to the correct value when evaluated on the right.
j+ş evaluate when= 1
350
n
7
evaluate when n = 35
to
up
5
70a: evaluate when a = 5
1.5
X-9; evaluate when x = 10.5
11
12
Answer:
I showed the answers in the pic above ^
Step-by-step explanation:
I hope this helps you!
Answer:
Step-by-step explanation:
PLEASE ANSWER QUICKLY!!! Find the area of the following shape
Answer:
30 cm²
Step-by-step explanation:
You want to know the area of the given shape.
ParallelogramThe formula for the area of a parallelogram is ...
A = bh
A line from B to E divides the figure into two congruent parallelograms, each having a base of 5 cm and a height of 3 cm.
The area of the figure is ...
A = 2 × (5 cm)(3 cm) = 30 cm²
__
Additional comment
If you draw a line from F to D you get a triangle FED that perfectly matches the space ABC. Moving ∆FED to fill ∆ABC transforms the figure into a rectangle that is 5 cm high and 6 cm wide. Its area is (5 cm)(6 cm) = 30 cm².
<95141404393>
From a population with a variance of 900, a sample of 225 items is selected. At 95% confidence, the margin of error is.
Answer:
3.92
Step-by-step explanation:
From a population with a variance of 900, a sample of 225 items is selected. At 95% confidence, the margin of error is 3.92.
What is margin of error?The margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the result of a census of the entire population. The margin of error will be positive whenever a population is incompletely sampled and the outcome measure has positive variance, which is to say, the measure varies.
Margin of error at alpha level of significance =
Z score at alpha level of significance * sqrt(variance/ sample size)
Z score at 5% level of significance = 1.96
Variance = 900
Sample size = 225
Margin of error = [tex]1.96 *\sqrt{\frac{900}{225} } = 1.96*\frac{30}{15} = 3.92[/tex]
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Seven more than the quotient of a number b and 45 is greater than 5.
Answer/Step-by-step explanation:
Given:
Seven more than the quotient of a number b and 45 is greater than 5
So:
Seven more than the quotient of a number b and 45 is greater than 5
=
7 + b/45 > 5
Solve if needed:
[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:b > -90\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-90,\:\infty \:\right)\end{bmatrix}[/tex]
[tex]\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}[/tex]
[tex]7+\frac{b}{45}-7 > 5-7[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\frac{b}{45} > -2[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}45[/tex]
[tex]\frac{45b}{45} > 45\left(-2\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]b > -90[/tex]
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Find the product of 3 1/5 and 5/8.
Express your answer in simplest form.
answer:ok
there are 3 and one fith apples
he need 4
apples
he adds 5/8
apples to his basket
how many apples doess he end up with
Step-by-step explanation:you add them together
whats 2 plus 2 i am in first grade
Answer:
4
Step-by-step explanation:
2+2=4
I hope this helps you!!
What is 25 time 39 divided by 2150?
Answer:
Approx 0.453488372
Step-by-step explanation:
You can get this with a calculator.
25 × 39 = 975
975÷2150≈ 0.453488372
I'm not sure if I'm supposed to round this or not, so I won't. If you need it rounded, comment, and I will!
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factorise: x ^ 2 = 17x + 60
Answer:
[tex]\rightarrow \sf x^2=\:17x\:+\:60[/tex]
change sides
[tex]\rightarrow \sf x^2 -17x -60 = 0[/tex]
breakdown, (60 : 20 * 3)
[tex]\rightarrow \sf x^2 -20x +3x-60 = 0[/tex]
factor the following
[tex]\rightarrow \sf x(x -20) +3(x-20) = 0[/tex]
collect into groups
[tex]\rightarrow \sf (x +3)(x-20) = 0[/tex]
final answer
[tex]\rightarrow \sf x=-3, \ 20[/tex]
Answer:
(x-20) (x+3) =0
Step-by-step explanation:
x ^ 2 = 17x + 60
Subtract 17x from each side
x ^ 2 - 17x = 60
Subtract 60 from each side
x ^ 2 - 17x - 60=0
What 2 numbers multiply by -60 and add to -17
-20 * 3 = -60
-20 +3 = -17
(x-20) (x+3) =0
Given m||n, find the value of x.
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Since the horizontal lines are parallel, we can set the angles equal to each other. So...
7x - 1 = 8x - 14
Solving for x...
x = 13
HELP ASP PLEASE math
Answer: D
Step-by-step explanation:
[tex]3x^2-x+2=0[/tex]
[tex]\text{Solve \ with \ the \ quadratic \ formula \mathrm{for\:}\quad a=3,\:b=-1,\:c=2}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:3\cdot \:2}}{2\cdot \:3}[/tex] [tex]\rightarrow \sqrt{\left(-1\right)^2-4\cdot \:3\cdot \:2} =\sqrt{1-24} =\sqrt{-23} =\sqrt{-1}\sqrt{23} =\sqrt{23}i[/tex]
[tex]x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{23}i}{2\cdot \:3}[/tex]
[tex]x_1=\frac{-\left(-1\right)+\sqrt{23}i}{2\cdot \:3},\:x_2=\frac{-\left(-1\right)-\sqrt{23}i}{2\cdot \:3}[/tex]
[tex]x_1=\frac{1+\sqrt{23}i}{6},\:x_2=\frac{1-\sqrt{23}i}{6}[/tex]
Number two and explain
Step-by-step explanation:
It should be tan(k)=32/40
Tangent is opposite/adjacent and 24/32 is adjacent/opposite which is not a trig function.
2. the lengths of 10 pencils, in centimeters: 18, 15, 4, 9, 14, 17, 16, 6, 8, 10 median: lower quartile: upper quartile:
Answer:
Lower Quartile: 7
Median: 12
Upper Quartile: 16.5
Step-by-step explanation:
First, to find anything you must reorganize the numbers according from smallest to biggest. In this case, it would be:
4, 6, 8, 9, 10, 14, 15, 16, 17, 18
Let's find the median first. The median is in the middle of the data set, and there are 10 numbers in this data set. We need to find the middle of two numbers to find the median, 10 and 14, which would be 12.
To find the lower quartile, you must look at the numbers below the median. Those would include 4, 6, 8, and 9. There is a even number of digits, meaning that we might find the middle of two numbers, 6 and 8, which is 7.
Then, the Upper Quartile which is the same process. Look at 15, 16, 17, and 18. It is a even number of digits so we need to find the middle of 16 and 17, which would equal 16.5.
Hope this helped!
Rowan is taking his siblings to get ice cream. They can't decide whether to get a cone or a cup because they want to get the most ice cream for their money. If w = 2.5 in, x = 5 in, y = 5 in, z = 3 in, and the cone and cup are filled evenly to the top with no overlap, which container will hold the most ice cream? Use 3.14 for π, and round your answer to the nearest tenth
A bag has 11 blue marbles 23 red marbles if you draw marbles without replacemtn what si the probability that you draw no blue marbel
Answer: 66% or 67% if you round it up
Step-by-step explanation: Add 23 and 11 together: 34
I'm not sure how many marbles you drew so I'll say subtract 1: 33
22/33 =.6 repeating.67 if you round it up or 67%
The probability that you draw no blue marble is 23/11.
What is the probability?Probability is a branch of math that deals with finding out the likelihood of the occurrence of an event.
A bag has 11 blue marbles and 23 red marbles.
Total number of marbles = 11 + 23 = 34
The probability of picking blue marbles is;
[tex]\rm Probability=\dfrac{Blue \ marbles }{Total \ marbles}\\\\Proability = \dfrac{11}{34}[/tex]
The probability that you draw no blue marbel IS;
[tex]\rm Probabilty = 1- Blue \ marable\\\\Probability = 1-\dfrac{11}{34}\\\\Probability=\dfrac{34-11}{11}\\\\Probability =\dfrac{23}{11}[/tex]
Hence, the probability that you draw no blue marble is 23/11.
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Solve the equation and enter the value of x below.
6x + 7 = 43
X =
6x + 7 = 43
6x + 7 - 7 = 43 - 7
6x = 36
x = 36/6
x = 6
check
6 * 6 + 7 = 36 + 7 = 43
Answer:
x=6
Step-by-step explanation:
6x+7=43
6x=43-7
6x=36
6x/6=36/6
x=6
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What are the two acute angles?
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ASAP PLS An angle measures 72.6° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
Step-by-step explanation:
What is the domain of the following {(1,3),(2,7),(3,-1)
Answer: this is a function.
f(x)=y
Step-by-step explanation:
domain -> 1,2,3
values: 3,7,-1
The principle quantum number value for the valance electron in the element n
Quantum numbers describe the states of electrons in their respective orbitals in an atom.
What is a Quantum number?Quantum numbers are mathematical descriptions that show the possible states of an electron.
There are four types of quantum number
principal quantum number (n)
angular momentum quantum number (l)
magnetic quantum number (ml)
spin quantum number (ms)
The values for the principal quantum number (n) are integers greater than zero.
The values for the angular momentum quantum number (l) are integers from 0 to n - 1.
The values for the magnetic quantum number (ml) are integers from -l to l.
The values for the spin quantum number (ms) are -1/2 and 1/2.
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Find the value of log 1 2 462 to four decimal places. –8.8517 –0.1130 0.1130 8.8517
The logarithm value of log 1/2 462 to four decimal places is –8.8517.
What is a logarithm?The logarithm is the mathematical inverse function to exponentiation.
The logarithm of a number x is the exponent to another fixed term.
It is given the log of 462 to a base of 1/2.
[tex]log_{0.5} 462 = \frac{log462}{log0.5}[/tex]
= –8.8517
Therefore, the logarithm value of log 1/2 462 to four decimal places is
–8.8517.
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please help me with complement or supplement of an angles.
In the figure below, =m∠263°. Find m∠1.
Answer:
117
Step-by-step explanation:
This is an example of a supplementary angle, so in total it is 180 degrees. Subtract what we know angle 2 is, 63, and we are left with what angle 1 equals, which is 117.
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In a recent year, 27.6% of all registered doctors were female. If there were 59,100 female registered doctors that year, what was the total number of registered doctors?
Answer:
214130
Step-by-step explanation:
27.6 /100 = 59100 / x
x = 214130
Which expressions have the same value as 15% of 20
Answer:
3
Step-by-step explanation:
I hope its helped<8 thank you
Which equation matches the table TOP: 4,8,12,16 BOTTOM:8,12,16,20
Answer:
C. b= a+4
Step-by-step explanation:
If someone has 8 fl. oz. of 16% wine, how many standard drinks has that person consumed?
Answer must be a number below 6
Answer:
2.1 standard drinks
(or 2 if you need to round to the nearest whole number)
Step-by-step explanation:
The ABV (alcohol by volume) percentage is a measure of the amount of pure alcohol (as a percentage) of the total volume of liquid in a drink.
So for 16% wine, this means that 16% of the volume of the wine is pure alcohol.
Therefore, if 16% of 8 fl oz is pure alcohol, this means that 1.28 fl oz of the 8 fl oz is pure alcohol (since 0.16 × 8 = 1.28).
One standard drink ≈ 0.6 fl oz pure alcohol
To calculate the number of standard drinks, divide the total amount of pure alcohol found by the amount in one standard drink:
1.28 ÷ 0.6 = 2.1
Therefore there is approximately 2.1 standard drinks in 8 fl oz of 16% wine.
I need help with this math please, thanks in advance. Much appreciated. 50 points available! The most helpful answer will receive brainliest!
1. The table shows values of a function f (x). What is the average rate of change of f (x) over the interval from x = 5 to x = 9? Show your work.
x | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
f(x) | -4 | -2 | 8 | 10 | 11 | 14 | 18 |
2. Given [tex]f(x)=4x^2 +6x[/tex] and [tex]g(x)=2x^2 + 13x + 15[/tex], find [tex](\frac{f}{g})(x).[/tex] Show your work.
3. Given[tex]f(x)=x^2 - 6x + 8[/tex] and [tex]g(x)=x-2[/tex], solve [tex]f(x)=g(x)[/tex] using a table of values. Show your work.
Much thanks and appreciation!
Answer:
y=0.9x-45
Step-by-step explanation:
When you substitute the values of x you have to get same values as given in the table
For example: substitute x=50 in the equation y=0.9x-45
Y= 0.9(50)-45
Y= 45-45
Y=0
Step-by-step explanation:
You have a circle with a circumference of 25.12 what is the radius?
Answer:
r 4 3.99797
Step-by-step explanation:
Hey ! there
Answer:
Radius = 4Step-by-step explanation:
In this question we have given that a circle have a circumference of 25.12 . And we are asked to find the radius of the circle .
We have to solve this question with the help of circumference formula for circle that is ,
[tex] \qquad\: \quad\underline{\boxed{ \frak{{Circumference_{(Circle)} = 2\pi r}}}}[/tex]
Where ,
π refers to 3.14 or 22/7r refers to radius of circleSolution : -
For solving the question we must have to substitute value of π , radius and then we have to equate it with given circumference that is 25.12. So ,
[tex] \longmapsto \qquad \:\: 2 \times 3.14 \times r = 25.12[/tex]
Step 1 : By multiplying 2 , 3.14 and r , We get :
[tex] \longmapsto \qquad \: \:6.28r = 25.12[/tex]
Step 2 : Dividing with 6.28 on both sides :
[tex] \longmapsto \qquad \: \: \dfrac{ \cancel{6.28}r}{ \cancel{6.28}} = \cancel{\dfrac{25.12}{6.28} }[/tex]
On further calculations, We get :
[tex] \longmapsto \qquad \: \: \pink{\underline{\boxed{ \frak{r = 4}}}}[/tex]
Henceforth , radius of circle is equal to 4 .Verifying : -
Now we are verifying our answer by finding the circumference of circle and equating it with 25.12 and if it will equal to 25.12 then our answer is correct . So ,
2πr = 25.122 × 3.14 × 4 = 25.126.28 × 4 = 25.1225.12 = 25.12L.H.S = R.H.SHence, Verified.Therefore our answer is correct .
Please Note : We aren't using any unit for the values because in the question no units are provided .
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