Answer:
2 Independent Random Variables The random variables X and Y are said to be independent if for any two sets of real numbers A and B, (2.4) P(X 2 A;Y 2 B) = P(X 2 A)P(Y 2 B): Loosely speaking, X and Y are independent if knowing the value of one of the random variables
Step-by-step explanation:
a
2. During one month, a homeowner used 400 units of electricity and 120 units of gas for a total cost
of $73.60. The next month, 350 units of electricity and 200 units of gas were used for a total cost of
$72. Find the cost of a unit of gas.
Define variables:
Equation:
Equation:
Solution:
Answer:
Step-by-step explanation:
120G + 400E = 73.60
400E = 73.60 - 120G
E = 0.184 - 0.3G
200G + 350E = 72.00
200G + 350(0.184 - 0.3G) = 72.00
200G + 64.4 - 105G = 72.00
95G = 7.60
G = $0.08/unit
am 7. If the base of the parallelogram is equal to ir and the height is r, then what is the area of the parallelogram?
Step-by-step explanation:
The area of a parallelogram is just base x height, same as a rectangle.
[tex]a=b*h\\a=ir*r[/tex]
If ir is 2 separate variables rather than just 1, that can be simplified to this:
[tex]a=ir^2[/tex]
An octopus weighed 3 5/6 kilograms.After two weeks,its weight was increased by 1 4/5 kilgrams.But afterwards,it got sick and lost 2 7/15 kilograms.what is the current weight?
I think it's 3 1/6 kilograms
Step-by-step explanation:
3 5/6 + 1 4/5 since it increased
find the LCD (Least Common Denominator)
that would be 30
3 25/30 + 1 24/30
=4 49/30
= 5 19/30
Then we do subtraction since it lost some weight
5 19/30 - 2 7/15
find LCD again
5 19/30 - 2 14/30
=3 5/30
simplify
3 1/6 kilograms. That's what I think.
WHAT IS THE EQUATION IN SLOPE INTERCEPT FORM FOR THE LINE THAT PASSES THROUGH THE POINT (-2,6) AND A SLOPE OF -1/4
It's a line so its equation is in the form : y = mx + b where m is the slope/gradient and b the y-intercept.
Since the slope m here is -1/4, we can write :
y = (-1/4)x + b
And since that line passes through the point x=-2, y=6, we can find the y-intercept by solving this equation of unknown b :
b + (-1/4)*(-2) = 6
b = 6 - (-1/4)*(-2)
b = 6 - (2/4)
b = 6 - 1/2
b = (12-1)/2 = 11/2
Finally, the equation is y = (-1/4)x + 11/2
4m 10m - - The accompanying figure is a water tank whose radmis is 4m and height 10m. 4.1 Determine the total surface area of the tank. (3)
Answer:
45789932
Step-by-step explanation:
3456899954433222222344577890009
so hard! please help!
Answer:
please take a closer picture. :)
Step-by-step explanation:
I have my final exam soon 29/11/2021 , thank you all who helped me in math :>
Answer:
okay
Step-by-step explanation:
is 15/6 less than 2 13/18
Answer:
no
Step-by-step explanation:
1. What kind of sequence is this? 44, 57, 70, 83, .. arithmetic ,geometric,
both , neither
Answer:
arithmetic
Step-by-step explanation:
arithmetic
There is a common difference of 13 between each term.
a boy rides the motorbike with velocity of 20 m/s. He accelerates his motorbike to a velocity of 30 m/s in 5 seconds. Calculate the acceleration produced in the motor bike
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
Answer:
2m/s2
Step-by-step explanation:
acceleration = (final velocity - initial velocity) / time
a = (30-20) / 5
a = 10 / 5
a = 2m/s2
Which of the following is the perimeter of a triangle with side lengths of 8 in, 9 in, and 11 in?
Answer:
the one with the perimeter of 28 inStep-by-step explanation:
To calculate the perimeter of a triangle, add the length of its sides.
8 + 9 + 11 = 28in
Rita is adding 3 + (negative 8) + 1. She rewrites the expression as 3 + (negative 1) + 8.
What is Rita’s error?
what is 1483 divided by 7? what is the remainder
Answer:
211 remainder 6
Step-by-step explanation:
Step-by-step explanation:
211,85714
211 is the whole number
,85714 is the remainder
Look at the two equations:
-3x + 6 = 21
-3x + 6 < 21
Which statement best describes the process used to solve the equations?
O In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality
O In both cases, divide by -3 on both sides, but reverse the inequality sign when doing that for the inequality.
O The process is exactly the same for solving the equation and solving the inequality
O The process for solving the equation is entirely different from solving the inequality.
hi..
The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
___ feet, ___ feet, ___ feet
Answer:
Step-by-step explanation:
Let the other leg = x
x^2 + 4^2 = (3x)^2
x^2 + 4^2 = 9x^2
4^2 = 9x^2 - x^2
16= 8x^2
16/8 = x^2
x^2 = 2
x = sqrt(2)
The lengths of the sides
x = sqrt(2)
other side =4
hypotenuse = 3*sqrt(2)
x = 1.4
other side= 4
hypotenuse = 3*1.4142
hypotenuse = 4.2
d) A patient is given 11÷2ml of medicine three times a day. How long does a bottle of 132 ml of medicine last?
Answer: 8 days.
Explanation;
11/2 = 5.5
5.5 x 3 = 16.5
132/16.5 = 8
Answer:
8 days
Step-by-step explanation:
So, 11/2 * 3 = (33/2) = 16.5 ml
Let the number of days medicine last be 'x'.
⇒ 16.5 * x = 132
⇒ x = 132/16.5
⇒ x = 8.
Therefore, Medicines last for 8 days.
Hope it helps!
ents
2 in
2 in
What is the area of the given figure? Enter your answer as a single number. Round to the
nearest tenths place. Use 3.14 as an approximation for pi. Your answer will be in the units of
inches squared
15
Answer:
7.1 in²
Step-by-step explanation:
If you mentally rearrange the figure it's
a circle with a radius of 1
and a square with side of 2
Area of circle
a = 3.14r²
a = 3.14 * 1²
a = 3.14
Ares of square
a = s²
a = 2²
a = 4
Combined ares
a = 3.14 + 4
a = 7.14
Rounded
7.1 in²
Math is hard help me please
Answer:
the third answer
Step-by-step explanation:
because If two positive numbers are multiplied together or divided, the answer is positive. If two negative numbers are multiplied together or divided, the answer is positive. If a positive and a negative number are multiplied or divided, the answer is negative.
Either enter exact answer in terms of pie or 3.14
Answer:
18 π ≈ 56.52
Step-by-step explanation:
The formula for the volume of a cylinder is V = π · r² · h.
This cylinder has a height (h) of 2 and a radius (r) of 3.
Therefore the volume is:
V = π · r² · h = π · 3² · 2 = 18 π ≈ 56.52.
9. Machine Trades Find the width X of the V-thread shown. (Round to the
nearest thousandth.)
Step-by-step explanation:
gjr jrijtigjtitrg rkgtrigjkjgkfrijr l
If Shane’s average number of jumps completed is greater than one-half, then the
eighth graders earn 50 points. If not, the seventh graders earn 50 points. Which
grade should be awarded 50 points?
Ok so, it all depends if Shane is likely to jump win over all of the other seventh graders then the eighth graders should earn the 50 points...
But if the roles are reversed the the Seventh graders should earn the 50 points.
There is not a full answer to what I am saying but from speculation you should be able to decide..
Answer:
Step-by-step explanation:
odd numbers between 20 and 46 that are mutiples of 3
Answer:
h
Step-by-step explanation:
h
Answer:
they should be 21 27 33 39 45
Step-by-step explanation:
:)
Simplify the expression.
6(12 – 3) + 4 + (3 × 2)
a.64
b.96
c.144
d.208
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]6(12-3)+4+(3)(2)[/tex]
[tex]=(6)(9)+4+(3)(2)[/tex]
[tex]=54+4+(3)(2)[/tex]
[tex]=58+(3)(2)[/tex]
[tex]=58+6[/tex]
[tex]= 64[/tex]
Answer:64.
Hopefully, this helps you!!
[tex]Sokka[/tex]
A snowy owl weighs 64 ounces.
16 ounces (oz) = 1 pound (lb)
How many pounds does the owl weigh?
Answer:
4 pounds
Step-by-step explanation:
Add 16 64 divided
The snowy owl weighs is 4 pounds.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have been given that A snowy owl weighs 64 ounces.
16 ounces (oz) = 1 pound (lb)
We have to determine the number of pounds the owl weighs.
Let x pounds would be the owl weighs
We can write this as a ratio as
16 ounces (oz) : 1 pound (lb) = 64 ounces : x pounds
⇒ 16/1 = 64/x
⇒ (16)(x) = 64
Divide each side by 16
⇒ x =64/16
⇒ x = 4
Therefore, the snowy owl weighs is 4 pounds.
Learn more about the Ratio here:
brainly.com/question/1504221
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How do I simplify these squared expressions? I believe I'm supposed to use multiplication but I'm not sure how. All of my answers have been incorrect so far.
I think it wants you to remove the squares.
See if this works :)
The pair of polygons is similar. Find the value of x.
187. 5 in
12 in
30 in
37.5 in
HELP QUICK!!! I Really need the answer l'll give you ten points.
All of the license plates in a particular state feature three letters followed by three digits (e.g. ABC 123). How many different license plate numbers are available to the state's Department of Motor Vehicles?
Step-by-step explanation:
for each letter position there are 26 choices.
and each of these 26 choices can be combined with the next 26 choices.
so, they alone are 26×26×26 = 26³ = 17,576
then we have the three number positions.
each has 10 options.
so, they are 10×10×10 = 10³ = 1000
and both combined are
26³×10³ = 17,576,000 different number plates
The number of different license plate numbers are available to the state's Department of Motor Vehicles is 17,575,000.
What is fundamental counting principle?The fundamental counting principle or basic principle of counting is a method or a rule used to calculate the total number of outcomes when two or more events are occurring together.
This principle states that the total number of outcomes of two or more independent events is the product of the number of outcomes of each individual event.
For each letter position there are 26 choices, and each of these 26 choices can be combined with the next 26 choices.
so, they alone are 26×26×26 = 26³ = 17,576
then we have the three number positions, each has 10 options.
so, they are 10×10×10 = 10³ = 1000
and both combined are;
26³×10³ = 17,576,000 different number plates.
Hence the number of different license plate numbers are available to the state's Department of Motor Vehicles is 17,575,000.
Learn more about fundamental counting principle, click;
https://brainly.com/question/28384306
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In a recent tennis tournament, women playing singles matches used challenges on 133 calls made by the line judges. Among those challenges, 31 were found to be successful with the call overturned. a. Construct a 90% confidence interval for the percentage of successful challenges. b. Compare the results from part (a) to this 90% confidence interval for the percentage of successful challenges made by the men playing singles matches: 20.9%
Using the z-distribution, it is found that the 90% confidence interval for the percentage of successful challenges is (17.28, 29.34).
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]\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]\frac{1+\alpha}{2}[/tex].
31 out of 133 challenges were successful, hence:
[tex]n = 133, \pi = \frac{31}{133} = 0.2331[/tex]
90% confidence level, hence [tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2331 - 1.645\sqrt{\frac{0.2331(0.7669)}{133}} = 0.1728[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2331 + 1.645\sqrt{\frac{0.2331(0.7669)}{133}} = 0.2934[/tex]
As percentages:
0.1728 x 100% = 17.28%
0.2934 x 100% = 29.34%
The 90% confidence interval for the percentage of successful challenges is (17.28, 29.34).
A similar problem is given at https://brainly.com/question/16807970