Answer:
The answer is option D.
Step-by-step explanation:
(4a - b)(2a - 3b)
Expand the terms
We have
8a² - 12ab - 2ab + 3b²
Which is
8a² - 14ab + 3b²
That's option D.
Hope this helps you
The number of deaths by road as recorded in a country is 2 per 50,000 of the population. Find the probability that in a town of 100,000 inhabitants within the country (a). between one and three inclusive, and (b). between two and five deaths by road will be recorded.
Answer:
(a) 0.635
(b) 0.498
Step-by-step explanation:
(a) The probability distribution is calculated using the cumulative distribution function of the Poisson as follows;
CDF = [tex]F(x)=e^{-\lambda t}\sum_{i = 0}^{\left | x \right |}\dfrac{\lambda t^{i}}{i!}[/tex]
For x = three we have;
CDF = 0.781
For x = one we have;
CDF = 0.1465
Therefore, the probability that between one and three inclusive = 0.781 - 0.1465 = 0.635
(b) For x = 2 we have;
CDF = 0.4395
For x = one we have;
CDF = 0.9378
Therefore, the probability that between one and three inclusive = 0.9378- 0.4395= 0.498
Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion. If two figures are congruent, their areas are equal. The area of ABCD equals the area of PQRS. I will make you a brainllest
Answer:
not possible
Step-by-step explanation:
The Law of Detachment is:
If p, then q. p is true. We can then conclude q is true.
For example:
If it rains, the grass gets wet. It is raining. Then the grass is wet.
In the problem in this post, it is not possible to use the Law of Detachment because we have:
If p then q. q is true. We are not told p is true, so we cannot conclude q is true.
Answer: not possible
Please help. I don't understand how to solve this problem.
Answer:
BF=16
Step-by-step explanation:
To find BF, (I will be calling it x) you need to use the equation
CF/FB=CE/EA Substitute
FB=x
24/x=18/12 cross multiply
18x=288 divide both sides by 18
x=16
FB=16
Hope this helps, if it does, please consider giving me brainliest, it will help me a lot.
Have a good day! :)
In the equation, C = 8n + 25, C represents amount of money raised and n represents the number of pledges. How many pledges are needed to raise $850?
Answer:
103 pledges
Step-by-step explanation:
The equation we have here is;
C = 8n + 25
Now we need to find n given that c is $850
simply substitute for the value of c in the question
850 = 8n + 25
850-25 = 8n
825 = 8n
n = 825/8
n = 103.125
But since a pledge cannot be fractional, we can say that n = 103
A flask contains 12% acid solution and the remaining volume is water. If the flask is 8.52 inches high and the diameter is 3.71 inches. What percent of the mixture by volume is water?
Answer:
Percent of water in the mixture=88%
Which is 81.07 square inches of the total volume
Step-by-step explanation:
Volume of the flask=πr^2h
π=3.142
radius=diameter/2
=3.71/2
=1.855
height=8.52 inches
Volume of the flask=πr^2h
=3.142*(1.855)^2*8.52
=3.142*3.441025*8.52
=92.115688686
Approximately 92.12 square inches
Flask contains 12% acid solution and the remaining volume is water
Percentage of water =Total percentage - acid solution percentage
=100%-12%
=88%
Percentage of Water =88%
Percentage of the mixture by volume is water=88% of the total volume
=88/100*92.12
=81.0656 square inches
Approximately 81.07 square inches
Solve for rrr: \dfrac{7}{10}=r-\left(-\dfrac{8}{5}\right) 10 7 =r−(− 5 8 )start fraction, 7, divided by, 10, end fraction, equals, r, minus, left parenthesis, minus, start fraction, 8, divided by, 5, end fraction, right parenthesis r =r=r, equals
Answer:
r = -9/10
Step-by-step explanation:
Given
7/10 = r - (-8/5)
Required
Solve for x
7/10 = r - (-8/5)
We start by opening the bracket
7/10 = r + (- -8/5)
7/10 = r + (8/5)
7/10 = r + 8/5
Subtract 8/5 from both sides
7/10 - 8/5 = r + 8/5 - 8/5
7/10 - 8/5 = r
Solve the fraction by taking their LCM
(7 - 16)/10 = r
-9/10 = r
Reorder the above
r = -9/10
Hence, the value of r is -9/10
Answer:
4(− 5/7 )
Step-by-step explanation:
Solve for the value of x 3x + 8 = 2
Answer:
-2
Step-by-step explanation:
Answer: x = -2
Step-by-step explanation:
3x + 8 = 2
3x = -6
x = -2
URGENT I NEED THIS DONE PLEASE ILL GIVE THE FIRST ANSWER BRAINLIEST Charles begins finding the volume of a trapezoidal prism using the formula A = One-half(b1 + b2)h to find the prism's base area. Charles's work: A = ((x + 4) + (x + 2))x A = (2x + 6)x A = (x + 3)x A = x2 + 3x Which expression can be used to represent the volume of the trapezoidal prism? A. 2x3 + 6x2 B. x3 + 6x2 C. x3 + 3x2 D. 2x3 + 3x2
Answer:
2x3 + 6x2
Step-by-step explanation:
Answer:
A on edge
Step-by-step explanation:
help please Simplify (4^1/5)^5
Answer:
B. 4
Step-by-step explanation:
(4^1/5)^5
Apply law of exponents.
4^(1/5 × 5)
4^(5/5)
4^1
= 4
Answer:four
Step-by-step explanation:blah blah blah its correct:)
define the type of sequence 7, 14, 28, 56, 112
Answer:
This is a geometric sequence.
What are the domain and range of f(x) = 2x - 4?
Answer:
y intercept is -4 and the slope is 2. You can figure it out from there. Just make a graph
Step-by-step explanation:
The expression means the product of 5 and the difference of three times r minus 10. If r = 4, the value of the expression is .
Answer:
10
Step-by-step explanation:
"three times r" = 3r
"three times r minus ten" = 3r - 10
"product of 5 and the difference of three times r minus ten"
= 5 (3r - 10)
given that r = 4,
the expression becomes
5 (3r - 10)
= 5 [3(4) - 10]
= 5 [12 - 10]
= 5 (2)
= 10
What is the measure of the third angle in the similar triangles below? A) 25º B) 65º C) 85º D) 115º
Answer:
B. 65 degrees
Step-by-step explanation:
The sum of angles in a triangle = 180 degrees
Given angles = 80 and 35
Sum of given angles = 115
Thus, the third angle = 180 - 115 = 65 degrees.
Hope this helps
Answer:
b
Step-by-step explanation:
According to the graph, what is the solution to this system of equations?
(2,3)
(3, 2)
(-1, 4)
(4, -1)
What is 0.8x-x? I will give Brainliest to first answer!!
Answer:
-0.2 x
Step-by-step explanation:
=> 0.8x-x
Taking x common
=> x (0.8 - 1)
=> x (-0.2)
=> -0.2 x
Answer:
-0.2 xExplanation:
[tex]0.8x - x[/tex]
If a negative term doesn't have a coefficients, it is considered that the coefficient is -1.
[tex]0.8x - 1x[/tex]
Calculate:
[tex] = - 0.2x[/tex]
Hope this helps..
Please help emergency and add explanation too pleaSE
Answer:
1
Step-by-step explanation:
Change 1/2 to 0.5. Then, do the problem of 0.75-0.25+0.5.
Step-by-step explanation:
is your answer mate ......
hemp somebody eas. need help
Discuss the validity of the following statement. If the statement is always true, explain why. If not, give a counterexample. If Upper P (Upper E )plus Upper P (Upper F )equals Upper P (Upper E union Upper F )plus Upper P (Upper E intersect Upper F ), then E and F are mutually exclusive events.
Answer:
[tex]P(E \cup F)=P(E)+P(F)[/tex].
Step-by-step explanation:
Given the statement
If [tex]P(E)+P(F)=P(E \cup F)+P(E \cap F)[/tex], then E and F are mutually exclusive events.
If two events are mutually exclusive, they have no elements in common. Thus, P(E∩F)=0.
Therefore, the statement is always true as P(E∩F)=0
For mutually exclusive events:
[tex]P(E \cup F)=P(E)+P(F)[/tex].
An ellipse is graphed. Which statements about the ellipse are true? Select three options. An ellipse is graphed. Which statements about the ellipse are true? Select three options. The center is at (−4, 2). The distance between the center and each covertex is 3 units. The vertices are at (−7, 1) and (−1, 1). Each focus is approximately 2.65 units above or below the center. The directrices are horizontal lines approximately 6 units from the center on the major axis.
Answer:
b, d, e
Step-by-step explanation:
The distance between the center and each covertex is [tex]3[/tex] units.
Each focus is approximately [tex]2.65[/tex] units above or below the center.
The directrices are horizontal lines approximately [tex]6[/tex] units from the center on the major axis.
Define Ellipse.An ellipse is just a circular plane curve created by a geographical distances in such a manner that the sum of its lengths from two points is always the same.
The distance between the center and each covertex is [tex]3[/tex] units.
Each focus is approximately [tex]2.65[/tex] units above or below the center.
The directrices are horizontal lines approximately [tex]6[/tex] units from the center on the major axis.
Find out more information about ellipse here:
https://brainly.com/question/19507943?referrer=searchResults
Find a formula for the general term of each of the following sequences a)7,13,19,25,31
Answer:
aₙ= 6n+1
Step-by-step explanation:
7,13,19,25,31
Given, AP with the first term of 7, and common difference of 6
Nth term:
aₙ= a₁+(n-1)d= 7 + (n-1)*6= 7+6n-6= 6n+1aₙ= 6n+1A package of 4 pairs of insulated gloves costs $26.76. What is the unit price of the pairs of gloves?
Answer:
Hey!
We have been given the price of $26.76. This is the price for 4 pairs of insulated gloves. But, we need to know the unit price.
Unit, means the price of one of those pairs of gloves. To find that we divide.
$26.76 ÷ 4 = 6.69.
But, this is NOT the answer. The answer HAS to have a dollar sign and an explanation.
Our final answer is:
It costs $6.69 for each pair of insulated gloves.
Thank you for your time. Good luck on your assignment!! :D
You are walking near a river. While standing at A, you measure an angle of 90° between B and C, as shown. You then walk to B and measure an angle of 77° between A and C. The distance between A and B is about 1.5 miles. How wide (in miles) is the river between A and C? Round your answer to the nearest tenth.
Answer:
Length of AC = 6.67 miles
Step-by-step explanation:
Given:
Angel between B and C = 90°
Angel between A and C = 77°
AB = 1.5 miles
Find:
Length of AC
Computation:
Using trigonometric laws
Cos 77° = Base / hypotenuses
0.225 = 1.5 / hypotenuses
hypotenuses = 6.67 miles
Length of AC = 6.67 miles
The owner of a music store gathered data from several schools about the number of students in their concert and marching bands. The
scatter plot shows the data she gathered and the line of best fit.
Answer:
25 students
Step-by-step explanation:
Using the line of best fit, we want to deduce the number of students predicted to be in the marching band given that there are 35 in the concert band.
To deduce this, what we need to do is to go to the point where we have 35 on the concert band axis i.e the x-axis, then trace it upto the line of best fit.
Then from the line of best fit, now trace to the y-axis.
This gives an answer 25.
Jaya agreed to give matt a loan for $80 but she’ll also be charging him 8% interest.How much will he have to pay her back
Answer:
Step-by-step explanation:
Let organise our information :
Jaya will charge Matt an 8 percent interest for 80 dollars loanwe can say that :
80 dollars⇒ 100 percentx ⇒ 8 percent
so :
x =( 8*80 )/ 100= 6.4
so the interest is 6.4 dollars
so the total cost is 86.4
A pizza has a diameter of 6 inches and is cut into 8 slices. What is the area of each slise th BOXES are the options PLEASE I NEED HELP RIGHT NOW
Answer:
3.53 inch
Step-by-step explanation:
area = 1/8 π r² with r=3 inch (half diameter)
= 9/8 π ≈ 3.534 inch²
Answer:
2.53 in,3.53 in
i hope this helps sorry if it doesn't
Divide up the number 60 in 2:3:5 ratio.
Answer:
Step-by-step explanation:
5. The monthly rent of a flat in New Delhi is 32 860 rupees.
How much is this in euros?
1
Answer:
386.11
Step-by-step explanation:
32,860=€386.11
solve inequality for x
x/-4<16
The answer to this problem is x> -64
Step-by-step explanation:
[tex]x - 4 < 16 \\ x < 16 + 4 \\ x < 20[/tex]
x={...17,18,19}
Multiply.
-5 6
(-4)
3
7
Write your answer in simplest form.
Answer:
2520
Step-by-step explanation:
-5×6×(-4)×3×7 = 2520
Complete the point-slope equation of the line through (-8,-8)(−8,−8)left parenthesis, minus, 8, comma, minus, 8, right parenthesis and (-7,9)(−7,9)left parenthesis, minus, 7, comma, 9, right parenthesis. Use exact numbers. y-9=y−9=y, minus, 9, equals
Answer:
y-9 = 17(x+7)Step-by-step explanation:
Given the points (-8, -8) and (-7, 9), the general form of equation of the line passing through this point is expressed as y-y1 = m(x-x1) where;
m = slope or gradient and (x1, y1) is the point
m = Δy/Δx = y₂-y₁/x₂-x₁
m = 9-(-8)/-7-(-8)
m = 17/1
m = 17
The slope of the line is 17.
The point-slope equation of the line through the point (-7, 9) is expressed as
y-9 = 17(x-(-7))
y-9 = 17(x+7)