The probability distribution is given below:
[tex]\left|\begin{array}{c|ccccc}Outcome& 0& 1& 5& 10& 1000\\Probability& 0.33& 0.32& 0.24& 0.10& 0.01\end{array}\right|[/tex]
Answer:
C. 12.52
Step-by-step explanation:
Given the probability distribution below:
[tex]\left|\begin{array}{c|ccccc}Outcome& 0& 1& 5& 10& 1000\\Probability& 0.33& 0.32& 0.24& 0.10& 0.01\end{array}\right|[/tex]
Expected Value of the random variable
=(0 X 0.33)+(1 X 0.32) +(5 X 0.24) +(10 X 0.10) + (1000 X 0.01)
=0+ 0.32+1.2+1+10
=12.52
The correct option is C.
Answer:
D
Step-by-step explanation:
Find the value of x for which a || b. answers : A) 47 B) 140 C) 35 D) 145
Answer:
4x+40=180
4x=140
x=35
Answer:
35 degrees
Step-by-step explanation:
both angles add up to 180 total so
3x+40 + x = 180
solve the equation
=35
What is the product of 6x – 5 and 8x + 3 Your answer: 14x – 2 -2x – 8 6x2 -13x +15 48x2 -22x -15
Answer:
48x^2 - 22x - 15
Step-by-step explanation:
(6x - 5)(8x + 3)
48x^2 + 18x - 40x - 15
48x^2 - 22x - 15
Solve the quadratic equation 3x^2 – 5x – 7 = 0
Give your answers to 3 significant figures.
Answer:
2.57 or -0.907
Step-by-step explanation:
→ First state the quadratic formula
[tex]\frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex]
→ Identify the 'a', 'b' and 'c' variables
[tex]ax^{2} +bx+c[/tex]
[tex]3x^{2} -5x-7[/tex]
a = 3, b = -5 and c = -7
→ Substitute in the values into the quadratic formula
[tex]\frac{5+\sqrt{5^{2}-4*3*-7 } }{2*3}=\frac{5+\sqrt{25+84 } }{6}=\frac{5+\sqrt{109 } }{6}=2.573384418[/tex]
→ Do the same for negative
[tex]\frac{5-\sqrt{5^{2}-4*3*-7 } }{2*3}=\frac{5-\sqrt{25+84 } }{6}=\frac{5-\sqrt{109 } }{6}=-0.9067177515[/tex]
The two solutions of the quadratic equation are:
x = -2.573x = 0.907.How to solve a quadratic equation?For a general quadratic equation:
a*x^2 + b*x + c = 0
The solutions are given by:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}[/tex]
In this case we have:
3x^2 + 5x - 7 = 0
Then:
a = 3b = 5c = -7.Replacing that in the formula we get:
[tex]x = \frac{-5 \pm \sqrt{5^2 - 4*3*(-7)} }{2*3}\\\\x = \frac{-5 \pm 10.44 }{6}[/tex]
Then the two solutions are:
x = (-5 + 10.44)/6 = 0.907x = (-5 - 10.44)/6 = -2.573If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/1214333
work out xz and qr need asap
Answer:
see explanation
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal
(a)
[tex]\frac{xPR}{XZ}[/tex] = [tex]\frac{PQ}{XY}[/tex] , substitute values
[tex]\frac{6.5}{XZ}[/tex] = [tex]\frac{7.2}{18}[/tex] ( cross- multiply )
7.2XZ = 117 ( divide both sides by 7.2 )
XZ = 16.25 cm
---------------------------------------
(b)
[tex]\frac{QR}{YZ}[/tex] = [tex]\frac{PQ}{XY}[/tex] , substitute values
[tex]\frac{QR}{17}[/tex] = [tex]\frac{7.2}{18}[/tex] ( cross- multiply )
18QR = 122.4 ( divide both sides by 18 )
QR = 6.8 cm
Which statement is true about the end behavior of the
graphed function?
(4-0.5,50
O As the x-values go to positive infinity, the function's values
go to positive infinity.
O As the x-values go to zero, the function's values go to
positive infinity.
the x-values go to negative infinity, the function's
values are equal to zero.
O As the x-values go to negative infinity, the function's
Values go to negative infinity
+20)
|(150)
(0.0)|
Answer:
End behavior :
1. As the x-values go to positive infinity, the function's values go to negative infinity
2. As the x-values go to negative infinity, the function's values go to positive infinity.
Option D: [tex]f(x)<0[/tex] over the interval [tex](-4,\infty).[/tex] (answer for question in image)
Step-by-step explanation:
From the given graph it is clear that as the x-values go to positive infinity, the function's values go to negative infinity and as the x-values go to negative infinity, the function's values go to positive infinity.
It means,
[tex]f(x)\rightarrow -\infty\text{ as }x\rightarrow \infty[/tex]
[tex]f(x)\rightarrow \infty\text{ as }x\rightarrow -\infty[/tex]
At x=0, the value of function is -3.
Note: All options are incorrect for end behavior.
From the given graph it is clear that the function is above the x-axis before -4 and after that it is below the x-axis. So,
[tex]f(x)>0[/tex] over the interval [tex](-\infty, -4).[/tex]
[tex]f(x)<0[/tex] over the interval [tex](-4,\infty).[/tex]
Therefore, the correct option is D.
OMG HELPPP PLEASEEE plssss
Answer:
Brainliest goes to me
Step-by-step explanation:
if you solved it... it would be 8.75
but you can't like 0.75 of a color so it isn't possible
0.75 is to be rounded up so I would do 9
Answer:All you have to do is multiply
Step-by-step explanation:
Instructions: Find the angle measures given the figure is a rhombus.
Pleaseee help me!
Answer:
Angle 1 = 57°
Angle 2 = 90°
Step-by-step explanation:
Answer:
PQ=QR=RS=SP=s, and the perimeter can be
Step-by-step explanation:
Prhombus=4s
the area of the rhombus is A rthobus =bb=sh,
any of the sides can be used as the above base and the drawn to each other
is the same.
A line is drawn through the point (-1,-1), parallel to the line 2x-3y+9=0. Where will it cross the x-axis?
Answer:
2x-3y-1=0I hope I'm correct.Step-by-step explanation:
[tex]2x-3y+9=0\\Rearrange -in-form-of : y = mx+b\\-3y=0-9-2x\\-3y=-2x-9\\\frac{-3y=-2x-9}{-3} \\y =\frac{2}{3} \\\\For- parallelism- , m1=m2\\One -point- form (-1,-1)\\x1 = -1\\y1 = -1 \\m = \frac{2}{3}\\ y -y1=m(x-x1)\\y -(-1)=\frac{2}{3} (x-(-1))\\y+1=\frac{2}{3}(x+1)\\y+1=\frac{2}{3}x + \frac{2}{3}\\\\y = \frac{2}{3}x + \frac{2}{3}-1\\\\y = \frac{2}{3}x - \frac{1}{3}\\Multiply- through-: by 3 \\3[y = \frac{2}{3}x - \frac{1}{3}]\\\\3y = 2x -1\\Answer = 2x-3y-1=0[/tex]
Which terms could be used as the first term of the expression below to create a polynomial written in standard form? Select five options.
+ 8r2s4 – 3r3s3
[tex]\frac{5s^{7} }{6}[/tex]
s5
3r4s5
–r4s6
–6rs5
[tex]\frac{4r}{5^{6} }[/tex]
Answer:
[tex](A)\dfrac{5s^7}{6}\\(B)s^5\\(E)-6rs^5 \\(F)\dfrac{4r}{5^6}[/tex]
Step-by-step explanation:
A polynomial is said to be in standard form when it is written in descending order of the given variable.
From the given polynomial
[tex]+ 8r^2s^4 - 3r^3s^3[/tex]
s is written in descending powerr is written in ascending orderTherefore, a first term of the polynomial must satisfy the following:
Power of r must be less than 2Power of s must be greater than 4.The following satisfies these conditions:
[tex](A)\dfrac{5s^7}{6}\\(B)s^5\\(E)-6rs^5 \\(F)\dfrac{4r}{5^6}[/tex]
What is the equation of the line that is parallel to the line y - 1 = 4(x + 3) and passes through the point (4, 32)?
vx
y= 2x +33
y=*x + 36
y = 4x - 16
y = 4x + 16
Answer:
y = 4x + 16
Step-by-step explanation:
Two lines are parallel if they have the same slope. The slope of the line y - 1 = 4(x + 3) is 4. Using slope y-intercept form, a line with slope 4 which passes through the point (4, 32) satisfies:
y = m*x +b
32 = 4*4 + b
b = 32 - 4*4
b = 16
Therefore, the equation is y = 4x + 16
A 21% dextrous solution (21 mg per 100 mL of solution) is given intravenously. Suppose a total of 4.598 L of the solution is given over a 19-hour period. Complete parts (a) through (c) below. A. What is the flow rate in units of mL/hr? __mL/hr What is the flow rate in dextrous per hour? __mg/hr B. If each mL contains 14 drops (the factor is expressed as 14 gtt/mL), what is the flow rate in units of gtt/hr? __gtt/hr C. During the 19-hour period, how much dextrous is delivered? __mg Please round all answers to the nearest thousandth as needed.
Answer:
(a) The flow rate in units of mL/hr is 242 mL/hr and the flow rate in dextrous per hour is 50.82.
(b) The flow rate in gtt/hr is 3388 gtt/hr.
(c) The dextrous delivered during the 19-hour period is 965.58 mg.
Step-by-step explanation:
We are given that a 21% dextrous solution (21 mg per 100 mL of solution) is given intravenously.
Suppose a total of 4.598 L of the solution is given over a 19-hour period.
Firstly, converting the quantity of solution in mL, we get;
1 L = 1000 mL
4.598 L = [tex]4.598 \times 1000[/tex] = 4598 mL
(a) The flow rate in units of mL/hr is given by;
Flow rate = [tex]\frac{\text{Quantity of solution}}{\text{Time period}}[/tex]
Here, the Quantity of solution in mL = 4598 mL
Time period = 19 hours
So, Flow rate = [tex]\frac{4598}{19}[/tex]
= 242 mL/hr
Hence, the flow rate in units of mL/hr is 242 mL/hr.
Also, the flow rate in dextrous per hour is given by;
Flow rate = [tex]\frac{\text{Quantity of dextrous solution}}{\text{Time period}}[/tex]
= [tex]\frac{0.21 \times 4598}{19}[/tex] = 50.82
Hence, the flow rate in dextrous per hour is 50.82.
(b) It is given that each mL contains 14 drops (the factor is expressed as 14 gtt/mL) and we have to calculate the flow rate in units of gtt/hr.
The flow rate in gtt/hr = Flow rate in units of mL/hr [tex]\times[/tex] Drop factor in gtt/mL
= 242 [tex]\times[/tex] 14 = 3388 gtt/hr
(c) We have calculated above that the amount of solution given over a 19-hour period is 4598 mL.
Also, a 21% dextrous solution (21 mg per 100 mL of solution) is given intravenously.
So, the dextrous delivered during the 19-hour period = 21% of 4598
= [tex]0.21 \times 4598[/tex] = 965.58 mg
7. Jonah's fishing license allows him to catch up to 20 pounds of fish in a particular lake. He
catches 4 fish
I
weighing 12 lb 3 oz, 2 lb 15 oz, 7 lb 1 oz, and
10 oz.
a) What is the total weight of the fish Jonah
caught?
b) Jonah wants to throw back one fish to remain under his limit. Which is the smallest fish he
can throw
back
?
Answer:
a. total weight = 22.8125 pounds
b. 2 pounds 15 oz
Step-by-step explanation:
His license only allows him to catch a 20 pounds fish. He catches 4 fishes with the following weight.
12 pounds 3 oz , 2 pounds 15 oz, 7 pounds 1 oz and 10 oz.
a. The total weight of fishes he caught is calculated when you add the whole weight of the 4 fishes. Firstly let's convert the oz to pounds
16 ounces = 1 pounds
29 ounces = ? pounds
cross multiply
29/16 = 1.8125 pounds
12 + 2 + 7 = 21 + 1.8125 = 22.8125 pounds
total weight = 22.8125 pounds
b. The total weight he caught is above what the license allows him. Therefore, 22.8125 - 20 = 2.8125 pounds. The fish that has such weight is the fish with 2 pounds 15 oz so, that is the fish he will throw back to the lake.
What is the equation, in slope-intercept form,of the line that perpendicular to the line y-4=2/3(x-6) and passes through the point (-2,-2)
Answer:
y = -3/2x + 1
Step-by-step explanation:
Perpendicular slopes are negative reciprocals of each other.
After you convert that equation to slope-intercept form, you can get the negative reciprocal of the slope and put it in the equation. Then, insert the points(-2,-2) in it and solve it to find c. In this case, it's 1.
Help ASAP please please please
Answer:
3 is between 1 and 2 so A. will be the correct answer
1 x 1 = 1
2 x 2 = 4
Hope this helps
Step-by-step explanation:
The following data points represent the volume of gas in each race car driver's tank (in liters). 4,5,13,? If the mean of the data set is 7L, find the missing volume of gas.
Answer:
The missing volume of the gas is 6.
Step-by-step explanation:
4+5+13=22
we all know that 28/4 is 7 so, 22+6=28.
Answer:
its 6. mark the guy above brainlest tho.
Step-by-step explanation:
What is 10% of 66,743.22
Answer:
The answer is 6,674.322
Step-by-step explanation:
An easy way to solve this is to move the decimal point up by one space.
You could also multiply 66,743.22 by 0.1 and you would get the answer.
Hope this helps :)
Answer:
6674.322
Step-by-step explanation:
To find 10% we move the decimal one place to the left
66,743.22 moves one place to the left
6674.322
The value of a car decreases $500 for every 1,000 miles it is driven. The current value of the car is $23,000, and the car is driven an average of 10,000 miles per year. What will be the value of the car, in dollars, at a point in time y years from now?
A) $23,000 − $500y
B) $23,000 − $0.02y
C) $23,000 − $5,000y
D) $23,000 − $0.0002y
Answer: C
Step-by-step explanation:
If we know the value of the car decreases $500 for every 1,000 miles, and that the car is driven about 10,000 miles every year, that means that you need to take the total value of the car (23,000) and subtract it from the amount of money it is losing per year. Again, the car is driven about 10,000 miles per year, so that means that the car will most likely continue to be driven 10,000 miles per year. If you do the math, for one year, the value of the car will drop $5,000 ($500 x 10, because it is $500 per every 1,000 miles) So, for each year, you can just multiply the number of years by $5,000 to find out how much the vehicle has depreciated over time.
Hope this helped you and made sense! Feel free to ask me any questions you have!
Select the equivalent expression.
Answer:
Answer Choice 'A' would be correct.
Find the value of x in each case.
Answer:
x = 22°
Step-by-step explanation:
Given corner URV = x and because of symmetry of Z-corners, that corner by definition is the same as corner DVR.
So corner SVR = V = x
R = 44°
S = 5x + 4°
V = x
In any triangle the three corners add up to 180°
Combine all this info and you get:
44 + 5x + 4 + x = 180
Solve for x (means write as x =...)
5x + x = 180 - 4 - 44
6x = 132
x = 132/6
x = 22°
hi can anybody help me with this
Answer:
4872 cm²
Step-by-step explanation:
12*(+9)*12*2+ 13*20+15*20+20*(5+9)= 4872 cm²
would this be a? please explain, thanks!
Answer:
Itz B.
Step-by-step explanation:
To form a triangle to two smaller sides have to be able to add up to be greater than the big side
it will take 4 minutes for their drone to fly 7 kilometers. How long will it take the drone to fly 21 kilometers?
Answer:
12 minutes
Step-by-step explanation:
4 minutes= 7 kilometers
=> 4*3 minutes= 7*3 kilometers
=12minutes=21km
Answer:
12 minutes
Step-by-step explanation:
You have to think about this as if it were a fraction where it is
4 minutes x minutes
------------------ and -----------------
7 kilometres 21 kilometres
As you can see on the bottom row you can divide the 21 kilometres and the 7 kilometres to see what it took to get there and if you were to do that it would be 3. So now that we have the 3 we are going to multiply that by the 4 minutes so that we can see how many minutes it would take for 21 kilometres and the answer is...
3 x 4 = 12
The graph shows the solution to a system of inequalities: Solid line joining ordered pairs 0, 3 and 7, 0. Shade the portion of the graph below the line in the first and fourth quadrants.
Answer:
Consider the point (0,3) as point A.
Consider the point (7,0) as point B.
Plot both point on the graph.
Graph a line which passed through both the lines.
There are two conditions given to us in the question.
First condition is the we have to shade the graph below the given line.
The blue region in the graph satisfies this condition.
Second condition is that we have to shade the first and fourth quadrant, which means than the value of x is equal to or greater than zero. Red region satisfies this condition.
As the solution is represented by Both the conditions combined. The purple area satisfies both the conditions, hence solution is given by the Purple Region
The solution is given by the Black Region.
We have two points (0,3) and (7,0)
Plot both point on the graph.
The line passes through two points (0,3) and (7,0)
We have two condition
we have to shade the graph below the given line. The black region in the graph satisfies this condition. we have to shade the region of first and fourth quadrant, which means than the value of x is equal to or greater than zero.Blue region satisfies this condition.
The solution is represented by Both the conditions combined.
The Black region satisfies both the conditions.
Therefore, the solution is given by the Black Region.
Learn more:https://brainly.com/question/11957158
help me please. good day
Answer:
A. 8
Step-by-step explanation:
you do 8/25 and it gives you 0.32
hope this helps :)
Answer:
A. 8
Step-by-step explanation:
Look at the figure. Which construction is illustrated? 7. Which is the equation of the line with slope 3 that contains point (−1, 5)?
a) y – 1 = 3(x – 5)
b) y – 5 = 3(x + 1)
c) y – 5 = 3(x − 1)
d) y – 1 = 3(x + 5)
Answer:
Option B
Step-by-step explanation:
I can't do the 'figure question' because it lacks info, but I can answer the point-slope question.
Point-slope form is: [tex]y-y_1=m(x-x_1)[/tex]
'm' - slope
'(x1, y1)' - point
We are given the slope of 3 and the point (-1, 5).
Replace 'x1', 'y1', and 'm' with the appropriate values.
[tex]y-y_1=m(x-x_1)\rightarrow \boxed{y-5=3(x+1)}[/tex]
Option B should be the correct answer.
Select the statements that are true.
Answer:A And B
Step-by-step explanation:
The true stetement is:
The standard deviation of B is greater than the standard deviation of A.
1. The interquartile range (IQR) is a measure of the spread of the data. Since the new brand with only 74% of kernels popped has the lowest percentage, including it in the data set B would likely increase the range of values and therefore increase the interquartile range.
Therefore, this statement is false.
2. The mean is affected by the values of the data set, and including the package with the least kernels popped in data set B would likely lower the overall mean compared to data set A. Therefore, this statement is false.
3. Adding the package with the least kernels popped to data set B might shift the median to a lower value compared to data set A. Therefore, this statement is false.
4. Including the package with the least kernels popped in data set B would increase the spread of the data because it introduces a lower value compared to the other percentages. Therefore, this statement is false.
5. Including the package with the least kernels popped in data set B would likely increase the variability and spread of the data, leading to a greater standard deviation compared to data set A.
Therefore, this statement is true.
6. Including the package with the least kernels popped in data set B would likely shift the center of the data towards a lower value due to the lower percentage. Therefore, this statement is false.
Learn more about IQR here:
https://brainly.com/question/31207390
#SPJ6
Choose improper fraction that is equivalent to mixed number 4 3/10
Answer:
Step-by-step explanation:
Answer:43/10
Step-by-step explanation:
in grade school i was taught the “MAD” method which stands for multiply add divide, so you would take 10 times 4, add 3, which will give you your fraction which could also be used to divide. the answer is 43 over 10.
1. Find the slope of the line:
Answer:
20
Step-by-step explanation:
Slope=rise/run
=4 blocks/ 1 block
Since 1 block=5 units,
slope=[tex]\frac{5\times 4}{1}=20[/tex]
PLZ HELP Find the surface area of this rectangular pyramid. 48.5 square inches 48 square inches 31.75 square inches 55 square inches
Answer:
48.5
Step-by-step explanation: i just did the problem
Answer:
48.5 is your answer
Step-by-step explanation:
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
In the sequence the previous number is always added again, for example in the first 3 + 3 = 6 and then the sequence is 12, only 6 + 6 = 12 is added, then 24 + 24 = 48 is also added. Then 48 + 48 = 96
So, the sequence would look like this:
3,6,12,24,48,96
I hope this help you :)
