Answer:
0.2143 = 21.43% probability that Armando will wear a green shirt with cargo pants.
Step-by-step explanation:
Probability:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of independent events:
The probability of two independent events is the multiplication of their separate probabilities.
Green shirt:
3 green shirts, out of 3 + 3 + 2 = 8 shirts.
So 3/8 probability of green shirts.
Cargo pants:
4 cargo pants, our of 4 + 3 = 7.
So 4/7 probability of cargo shirts.
Green shirt and cargo pants:
[tex]p = \frac{3}{8} \times {4}{7} = \frac{12}{56} = \frac{3}{14} = 0.2143[/tex]
0.2143 = 21.43% probability that Armando will wear a green shirt with cargo pants.
Factor the quadratic equation 0=15x squared + 39 x-18
Answer:
The factors of given quadratic equation
[tex]x = \frac{9}{15} and x = -2[/tex]
Step-by-step explanation:
Explanation:-
Given quadratic equation 15x² +39 x -18 =0
The factors of 270 = 30 × 9
The quadratic equation 15x² +39 x -18 =0
⇒ 15 x² +30 x-9x -18=0
⇒ 15x(x+2) -9( x+2) =0
⇒( 15x -9)(x+2) = 0
15x - 9=0 and x+2 =0
15 x =9 and x = -2
[tex]x = \frac{9}{15} and x = -2[/tex]
Here are some equations that contain a variable and a list of values. Think about what each equation means and find a solution in the list of values. If you get stuck, draw a diagram. Be prepared to explain why your solution is correct.
1000−a=400
12.6=b+4.1
8c=8
2/3d=109
10e=1
10=0.5f
0.99=1−g
h+37=1
Answer:
1.) a=600
2.)b=8.5
3.)c=1
4.)d=163.500
5.)e=0.1
6.)f=20
7.)g=0.010
8.)h=-36
Step-by-step explanation:
At a carnival, the probability that you chose a winning rubber duck from 25 ducks is 0.20.
How many are not winning ducks?
The game is formed such that a duck is either winning duck or a non winning duck .
there is no other result for any duck present in the game .
Also choosing a duck is a fair game it is independent of any prior situation .
here we would be using a basic probability formula , that is
Probability of a result = number of items in favour of that result divide by total number of items present in the game .
Rational equations intro (Khan Academy)
Answer:
y = 17/7
Step-by-step explanation:
Which step should be taken to find the quotient of 132.9 ÷ 1,000?
A. Move the decimal point in 132.9 two places to the right.
B. Move the decimal point in 132.9 two places to the left.
C. Move the decimal point in 132.9 three places to the right.
D. Move the decimal point in 132.9 three places to the left.
Answer:
D. Move the decimal point in 132.9 three places to the left.
Step-by-step explanation:
Multiplication of a decimal by the nth power of 10:
We move the decimal point n places to the right.
Division of a decimal by the nth power of 10:
We move the decimal point n places to the left.
In this question:
There is a division by 1000, which is the 3rd power of 10, because [tex]10^3 = 1000[/tex]
So, we should move the decimal point three places to the left, and the correct answer is given by option D.
Solve the formula 2x+3y=12 for y
Answer:
y=4−2x/3
Step-by-step explanation:
Move all terms that don't contain y to the right side and solve.
Mrs. Nez owns a small business. When her customers pay with
a credit card, she receives 95.8% of the charged amount from
the credit card company. If a customer makes a $20 purchase,
how much will Mrs. Nez receive from the credit card company?
Answer:
the amount received from the credit card company is $19.16
Step-by-step explanation:
The computation of the amount received from the credit card company is shown below:
= Purchase made by the customer × received percentage
= $20 × 95.8%
= $19.16
Hence, the amount received from the credit card company is $19.16
The same is to be considered and relevant too
Help someone please
Answer:
a) 2/3
b) 1/9
c) 52/99
d) 2/11
e) 743/999
f) 29/111
Step-by-step explanation:
Take the recurring numbers (numbers after the decimal). If there is one recurring number place it over 9, if there are two then place them over 99, if there are three then place them over 999 etc.
Then simplify (if possible).
a) 6/9 = 2/3
b) 1/9
c) 52/99
d) 18/99=2/11
e) 743/999
f) 261/999=29/111
A triangle has vertices at (-2,-3),(4, -3), and (3,5). What is the area of the triangle?
Answer:
this triangle is ABC with A(-2 ; -3), B(4; - 3) and C(3;5)
=> [tex]AB=\sqrt{(4-(-2))^{2}+\sqrt{(-3 -(-3))^{2} } }=\sqrt{6^{2} }=6\\\\AC=\sqrt{(3-(-2))^{2}+(5-(-3))^{2} }=\sqrt{5^{2}+8^{2} }=\sqrt{89}\\\\BC =\sqrt{1^{2}+8^{2} }=\sqrt{65}[/tex]
using Heron theorem, we have:
[tex]S=\sqrt{p(p-AB)(p-AC)(p-BC)}\\\\S=\sqrt{(\frac{6+\sqrt{89}+\sqrt{65} }{2})(\frac{\sqrt{89}+\sqrt{65}-6 }{2} )(\frac{6+\sqrt{65}-\sqrt{89} }{2})(\frac{6+\sqrt{89}-\sqrt{65} }{2}) }\\\\S=24 \\\\[/tex]
with S is the area of the triangle
[tex]p=\frac{AB+AC+BC}{2}=\frac{6+\sqrt{89}+\sqrt{65} }{2}[/tex]
Step-by-step explanation:
Area of the triangle with given vertices is equals to 24 square units.
What is Area?"Area is the surface which represents the total space occupied by any two dimensional object."
What is triangle?"Triangle is a polygon which has three sides and three vertices. Sum of all the interior angles of a triangle is equals to 180°."
Formula used
In ΔABC , A(x₁ , y₁) , B(x₂, y₂) and C(x₃, y₃)
Area of a triangle = [tex]\frac{1}{2} [ x_{1} (y_{2} -y_{3} + x_{2} (y_{3} -y_{1} +x_{3} (y_{1} -y_{2} ]\\[/tex]
According to the question,
Let ABC be the triangle with A(-2,-3) , B(4,-3) and C(3,5)
Area of the triangle = [tex]\frac{1}{2}[/tex] [ -2(-3-5) + 4(5+3) +3 (-3 +3)]
= [tex]\frac{1}{2}[/tex] [ 16 +32 + 0]
= 24 square units
Hence Area of the triangle with given vertices is equals to 24 square units.
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Select the correct answer.
de.
Currently there are 691,255 trees in a national forest. A park ranger discovered that an
untreatable disease is killing the trees at a rate of 1.5% every year.
Let t represent the number of years after the current date. Determine the inequality that can be
used to model when there will be no more than 621,859 trees, and then solve the inequality for t.
CHECK ATTACHMENT FOR OPTIONS
Answer:
691,255(0.985)t ≤ 621,859; t ≥ 7
Step-by-step explanation:
i just did it. it was C
Answer:
Yes it is corect,
C
Step-by-step explanation:
A box of candy is shaped like a triangular pyramid the volume of the candy box measures 120 in squared 3 the area of the base of the candy box is 18 in squared 2 what is the height of the candy box
Answer:
i think the Hight would be 60
Step-by-step explanation:
for item 6 which pair of words is the odd one out
Answer:
A odd # is 3.5.7 and etc such that you have odd numbers
Please help will give a 100 points
Answer:
The answers are 0 and -1
Step-by-step explanation:
Answer:
0 and -1
Step-by-step explanation:
What is the purpose of school?(give as much reasons as possible)
Answer:
to torture people
Step-by-step explanation:
but real anwser is to help children learn more about their ecosystem and to give more knowledge and learn new things
What is the inverse of 2x^2
Answer:Interchange the variables.
x
=
2
y
+
2
Solve for
y
.
Tap for more steps...
y
=
x
2
−
1
Solve for
y
and replace with
f
−
1
(
x
)
.
Tap for more steps...
f
−
1
(
x
)
=
x
2
−
1
Step-by-step explanation:
A trapezoid was broken into a rectangle and two equal
triangles.
The base of each triangle bis
m.
The area of the rectangle is
The area of each triangle is
m2
m2.
m2.
The area of the trapezoid is
Please help
Step-by-step explanation:
For the base of the triangles, we just have to remove the 1m and divide the remaining measurement into two since they are symmetrical.
[tex]5m - 1m = 4m \\ \frac{4m}{2} = 2m \: each[/tex]
For the area of the rectangle:
[tex]base \times height = 1m \times 4m = 4 {m}^{2} [/tex]
For the area of each triangle:
[tex] \frac{1}{2} base \times height = \frac{1}{2} (2m)(4m) = 4m^{2} [/tex]
For the area of the trapezoid, just combine the two areas:
4m² + 4m² = 8m²
Answer:
For the base of the triangles, we just have to remove the 1m and divide the remaining measurement into two since they are symmetrical.
For the area of the rectangle:
Step-by-step explanation:
For the area of each triangle:
For the area of the trapezoid, just combine the two areas:
4m² + 4m² = 8m²
Solve the system of equations by elimination. Explain your reasoning or show your work.
4x+6y=44 and 4x+2y=28
Answer:
x=3 ,y=6
Step-by-step explanation:
4x+6y=44 eqni
4x+2y=28 eqn ii
now subtract it eqn i and ii
4x+6y=44
-4x+2y=28
or, 0 +4y=24
or, 4y=24
or , y=24/4
or,y=6
putting value of y in eqn i
4x+6y=44
4x+6×6=44
4x=44-36
4x=12
x=12/4
x=3
A merry go round rotates 2808 degrees per ride. How far would a rider seated 8 feet from the center of the merry go round travel during the ride?
Answer:
Step-by-step explanation:
2880° per ride doesn't make sense, because it is not a whole number.
Do you mean 2880° per ride?
r = 8 feet
circumference = 2πr = 16π feet
2880° × (16π feet)/(360°) = 128π feet ≅ 402 feet
A rider seated 8 feet from the merry-go-center round would travel 392.2 feet during the ride.
What is circumference?The circumference is the distance that surrounds a circle. We can measure the circumference of the earth by measuring the distance that we will have to walk all the way around the world.
Given, A merry go round rotates 2808 degrees per ride. A rider is seated 8 feet from the center.
Thus r = 8 feet
Circumference = 2πr
Circumference = 2π*8
Circumference = 16π
Distance traveled by that man = 2808* 16π/360
Distance traveled by that man = 392.22 feet
therefore, a rider seated 8 feet from the center of the merry-go travel during the ride would travel 392.2 feet.
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Help on No. 4 plz..............
Answer:
12Step-by-step explanation:
to understand thisyou need to know about:similarityPEMDASgiven:scale factor:2:5SV:30TIPS AND FORMULAS:SV~QRlet's solve:according to the question
[tex]step - 1 : define[/tex]
[tex] \frac{2}{5} \times 30[/tex]
[tex]step - 2 : simplify[/tex]
[tex] \frac{60}{5} [/tex]
[tex] \huge 12[/tex]
Plz guys help me plz
Answer:
option d 11 .......substitute 2 inplace of x
y=-1/4x+3
y=-3/2x-2
Answer:
x = -4
y = 4
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Question 5
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
6
11
X
Step-by-step explanation:
a^2 + b^2 = c^2
a = 6
b = x
c = 11
6^2 + b^2 = 11^2
36 + b^2 = 121
b^2 = 121 - 36
b^2 = 85
Find the square root of both sides.
b = 9.22
You are traveling at 75 km/hr to make it to school on time. You have to be at school in .25 hour or you will be late. You have 15 km to travel. Will you make it to school on time?
Answer:
Yes
Step-by-step explanation:
.25 hour = 1/4 hour
75 * 1/4 = 18 3/4
You travel 18 3/4km in 1/4 hr(.25 hr).
Simplify.
Rewrite the expression in the form 4^n.
4^8
4^3
There are 16 ounces in one pound. If 3.4 pounds of beef cost $4.95, what is the cost per ounce, to the nearest cent?
$0.09
$0.31
$1.05
$1.46
$10.99
Which of the following situations are equal to 20%?
Select all that apply.
A) 5 out of 25
B) 8 out of 40
C) 2 out of 8
D) 16 out of 80
E) 12 out of 24
Answer:
A and B
Step-by-step explanation:
you divide 5 and 25
like this 5/25 and then multiply by 100
For B you do the same thing but is 8/40 and then you multiply by 100
3. A data set that consists of 50 numbers has a minimum value of 16 and a maximum value of 74. Determine the class boundaries using the 2k >n rule if the data are a. Discrete b. Continuous3. A data set that consists of 50 numbers has a minimum value of 16 and a maximum value of 74. Determine the class boundaries using the 2k >n rule if the data are a. Discrete b. Continuous
Answer:
discrete, the class boundaries are;
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 = 75
continuous, the class boundaries are;
16 to less than 26
26 to less than 36
36 to less than 46
46 to less than 56
56 to less than 66
66 to less than 76
Step-by-step explanation:
Given that;
Range of the dataset = maximum value - minimum value = 74 - 16 = 58
total number of data set n = 50
Rule : [tex]2^{k}[/tex] ≥ n
substitute value of n
[tex]2^{k}[/tex] ≥ 50
k × log(2) = log( 50 )
k × 0.3010 = 1.69897
k = 1.69897 / 0.3010
k = 5.64
Hence, we have a total of 6 number of classes needed to be constructed.
so,
class width = 74 - 16 / 6 = 58 / 6 = 9.67
If the Data is discrete, the class boundaries are;
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 = 75
If the Data is continuous, the class boundaries are;
16 to less than 26
26 to less than 36
36 to less than 46
46 to less than 56
56 to less than 66
66 to less than 76
A sample survey of 62 discount brokers showed that the mean price charged for a trade of 100 shares at $50 per share was $31.22. The survey is conducted annually. With the historical data available, assume a known population standard deviation of $19. (a) Using the sample data, what is the margin of error in dollars associated with a 95% confidence interval? (Round your answer to the nearest cent.) $ (b) Develop a 95% confidence interval for the mean price in dollars charged by discount brokers for a trade of 100 shares at $50 per share. (Round your answers to the nearest cent.) $ to $
Answer:
a) The margin of error associated with a 95% confidence interval is of $4.73.
b) $26.49 to $35.95
Step-by-step explanation:
Question a:
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].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
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.
[tex]M = 1.96*\frac{19}{\sqrt{62}} = 4.73[/tex]
The margin of error associated with a 95% confidence interval is of $4.73.
Question b:
The lower end of the interval is the sample mean subtracted by M. So it is 31.22 - 4.73 = $26.49
The upper end of the interval is the sample mean added to M. So it is 31.22 + 4.73 = $35.95
So $26.49 to $35.95
What is the inverse of -1/2x+5
At which value in the domain does f(x) = 0?
Answer: C (x=1)
Step-by-step explanation:
f(x)=0 at points of intersection of the graph of the function with x-axis.
The graph of the function intersects x-axis at three points:
somewhere between -3 and -2;
somewhere between -1 and 0;
at x=1.
Since x=1 is the value of x from the domain, then correct choice is option C.