Answer:
0.525%
Step-by-step explanation:
Since we are trying to find the probability of a sequence of events we simply need to multiply the probability of each of these events happening separately from one another. We are told that the probability that the light will be red is 65% that means that the probability that it will be green and that the driver will not need to stop is 35%. This probability remains the same every day of the week. Therefore we need to multiply this probability 5 times, one time for each weekday Monday through Friday, but first we need to turn this percentage into a decimal form by dividing it by 100...
35% / 100 = 0.35
0.35 * 0.35 * 0.35 * 0.35 * 0.35 = 0.00525 ...multiply by 100 to get percentage
0.00525 * 100 = 0.525%
Finally, we can see that the probability that she will not have to stop at the light all next week is 0.525%
divide a⁴-16 by a+2
Answer:
[tex]\textsf{Factored form}: \quad (a^2+4)(a-2)[/tex]
[tex]\textsf{Standard form}: \quad a^3-2a^2+4a-8[/tex]
Step-by-step explanation:
Given expression:
[tex]\dfrac{a^4-16}{a+2}[/tex]
Rewrite the exponent 4 as 2·2 and 16 as 4²:
[tex]\implies \dfrac{a^{2 \cdot 2}-4^2}{a+2}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c[/tex]
[tex]\implies \dfrac{\left(a^2\right)^2-4^2}{a+2}[/tex]
[tex]\textsf{Apply the Difference of Two Squares Formula} \quad x^2-y^2=\left(x+y\right)\left(x-y\right):[/tex]
[tex]\implies \dfrac{(a^2+4)(a^2-4)}{a+2}[/tex]
Rewrite 4 in the second parentheses of the numerator as 2²:
[tex]\implies \dfrac{(a^2+4)(a^2-2^2)}{a+2}[/tex]
Apply the Difference of Two Squares Formula to (a² - 2²):
[tex]\implies \dfrac{(a^2+4)(a+2)(a-2)}{a+2}[/tex]
Cancel the common factor (a + 2):
[tex]\implies (a^2+4)(a-2)[/tex]
Expand:
[tex]\implies a^2(a-2)+4(a-2)[/tex]
[tex]\implies a^3-2a^2+4a-8[/tex]
if you want to change the order of operations in a formula, use these around the part of the formula you want to calculate first.
To change the order of operations in a formula, use parentheses around the part of the formula you want to calculate first.
Parentheses allow you to group elements in a cell. This allows you to create more complex and more powerful formulas.
Consider the expression 6+4*2.
The above formula gives result as 14 because Excel performs multiplication before addition. The formula multiplies 4 by 2 and then adds 6 to the result.
Now consider the expression (6+4)*2.
If you use parentheses to change the syntax, Excel adds 6 and 4 together and then multiplies the result by 2 to produce 20.
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To change the order of operations in a formula, use parentheses around the part of the formula you want to calculate first.
Parentheses allow you to group elements in a cell. This allows you to create more complex and more powerful formulas.
Consider the expression 6+4*2.
The above formula gives result as 14 because Excel performs multiplication before addition. The formula multiplies 4 by 2 and then adds 6 to the result.
Now consider the expression (6+4)*2.
If you use parentheses to change the syntax, Excel adds 6 and 4 together and then multiplies the result by 2 to produce 20.
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5.9 divided by 35.4 yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: 0.16666
Step-by-step explanation:
You need to move the decimal point over
[tex]\frac{5.9}{35.4} \\ \\ \frac{59}{354}=\frac{59.0}{354} =\frac{0.16666}{554}[/tex]
y=6x2-12x+1 axis of symmetry
to determine customer opinion of their safety features, daimler−chrysler randomly selects 140 service centers during a certain week and surveys all customers visiting the service centers.
cluster sampling is the type of sampling is used.
What do you mean by cluster sampling?In cluster sampling, a population is divided into clusters, which are smaller groups. They then choose a sample at random from these clusters. Often employed to investigate huge populations, particularly those that are extensively geographically distributed, cluster sampling is a probability sampling technique. Typically, clusters used by researchers are already-existing groups like cities or schools. Clusters are frequently more homogeneous than the population as a whole since they are typically naturally occurring groups, such as schools, cities, or houses. When conducting your study, you should be aware of this as it might compromise the validity of your findings.
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How many negative real zeros are possible for a polynomial function f, given that f(−x) has 9 variations in sign? (Select all that apply.)
*1
*2
*3
*4
*5
*6
*7
*8
*9
The possible number of negative real zeros in the polynomial function is 9
What are the zeros of a polynomial function?The zeros of a polynomial function are the x-intercepts of the function i.e. the points where the graph of the polynomial function cross the x-axis
How to determine the number of negative real zeros?The given parameters are
The polynomial function, f(x)
f(−x) has 9 variations in sign
The number of variation in sign represents the possible number of negative real zeros
Recall that
The x-intercept (or the zeros) of the function is the point or points where the graph of the function crosses the x-axis i.e. the point where the function equals 0
This means that
Number of negative real zeros = variation in sign
So, we have
number of negative real zeros = 9
Hence, the possible number of negative real zeros in the polynomial function is 9
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THIS IS FOR ALEGBRA 2 AND NO TUTOR CAN HELP ME I NEED HELP PLEASE
The number of hours to operate the mines to minimize cost are Mine 1 hour = 25 hours and Mine 2 hour = 10 hours
How to determine the number of hours?The given parameters can be represented using the following table of values
Mine 1 (x) Mine 2 (y) Available
Regular grade 5 20 325
Low grade 18 9 540
Operating cost 16000 12000
Time 37 34
From the table, we understand that we are to minimize cost
This means that:
Objective function: C = 16000x + 12000y
Subject to:
5x + 20y >= 325
18x + 9y >= 540
Next, we plot the constraints on a graph (see attachment)
From the graph, we have
(x, y) = (25, 10)
This means that
Mine 1 hour = 25 hours
Mine 2 hour = 10 hours
Hence, the number of hours to operate the mines to minimize cost are Mine 1 hour = 25 hours and Mine 2 hour = 10 hours
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6. Which is the best buy for a box of oat cereal? a. 10 ounces for $2.69 b. 12 ounces for $3.18 c. 16 ounces for $4.08 d. 24 ounces for $5.88
Answer:
123910-w137762 cotkw
naodiskd
Click and drag like terms onto each other to simplify fully.
6+6y-7-6y-2y+3y²
You must answer all questions above in order to submit.
attempt 1 out of
Answer:
pls rate as brainliest it will really go a long way
I’m really confused on number 3 please helppp
Answer:
See explanation
Step-by-step explanation:
a. Skewed to the right since the tail of the graph is on the right
b. Each bar is 3 values. 7*3=21 values
c. The bars are taller for lower numbers. Hence, the question could be about age. "Who likes to watch cartoons?"
PLEASE HELP What is 20.?
What is the value of a in this function’s equation?
A.
-1
B.
1
C.
-2
D.
2
Answer:
Because the graph has the parabol shape, so the equation of it has the function:
y = ax² + bx + c
Because the parabol has a peak at point (0; 9)
=> 9 = a.0² + b.0 + c
=> c = 9
=> The parabol has a function:
y = ax² + bx + 9
Because the parabol goes through point (3; 0)
=> 0 = a.3² + b.3 + 9
=> 9a + 3b = - 9 (1)
Because the parabol goes through point (-3; 0)
=> 0 = a.(- 3)² + b.(- 3) + 9
=> 9a - 3b = - 9 (2)
Plus (1) and (2):
=> 18.a = - 18
=> a = - 1
Substitute the result on (1)
=> b = 0
=> The function of the parabol: y = - x² + 9
=> a = - 1
=> Choose A. - 1
Simplify the expression to a single power of x. Open parentheses x to the power of begin display style bevelled 1 half end style end exponent over x to the power of begin display style bevelled 1 fifth end style end exponent close parentheses to the power of bevelled 1 fourth end exponent
The simplified form of the given expression is x raise to the power of one-thirty.
Simplifying indices expressionsGiven the indices expression (x^1/2/(x^1/3)^1/5
Using the indices law below:
a^m/a^n = a^m-n
(a^m)^n
Applying the law above to the given equation
(x^1/2/(x^1/3)^1/5 = (x^1/2-1/3)^1/5
(x^1/2/(x^1/3)^1/5 = (x^1/6)^1/5
(x^1/2/(x^1/3)^1/5 = x^1/30
Hence the simplified form of the given expression is x raise to the power of one-thirty.
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C=59(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 59 degree Celsius.A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.A temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Who ever answers this first correctly and show explanation gets brainliest
ANSWER:
d
ANSWER EXPLANATION: Think of the equation as an equation for a line
y=mx+b
where in this case
C=59(F−32)
or
C=59F−59(32)
You can see the slope of the graph is 59, which means that for an increase of 1 degree Fahrenheit, the increase is 59 of 1 degree Celsius.
C=59(F)
C=59(1)=59
Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 95 degrees Fahrenheit.
C=59(F)
1=59(F)
(F)=95
Since 95 = 1.8, statement II is true.
The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of 59 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:
C=59(F)
C=59(59)
C=2581(whichis≠1)
An increase of 59 degree Fahrenheit leads to an increase of 2581, not 1 degree, Celsius, and so Statement III is not true.
The final answer is D.
Answer:
D) i and ii
Step-by-step explanation:
from given equation, we can simplify =
1.8 C = F-32 .....................i
F = 1.8 C +32 ....................ii
now, from (i)
1.8 (C+1 ) = 1.8 C + 1.8 = (F +1.8) -3.2
so increasing 1 C equivalent to 1.8 F ........... iii
from iii,
increasing (1/1.8) C or (5/9) C equivalent to (1.8/1.8) F or 1 F
increasing (5/9)/ (5/9) or (25/81) C equivalent to 5/9 degree F
(so given iii become false)
only i and ii is true = D
express the limit as a definite integral on the given interval. lim n→[infinity] n xi ln(1 xi2) δx, [2, 6] i
The limit as a definite integral on the given interval. lim n→[infinity] n xi ln(1 xi2) δx, [2, 6] {62xlnc 1+X2} dx
As per the given question
Lim n - infinite n xi ln (1×i2) € x = (A,B) =(2,6)
We have to put the formula of Reimann sum
That is Rn = Sigma x ni = 1f (xi) ∆x
Comparing the evolved formula with the given expression we get
f (xi) = xi ln (1×2i)
Back substitute the variable x for xi
Thus the definite integral is
( 6 2 x ln (1+X2)) dx
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Given: f = {(0, 1), (2, 4), (4, 6), (6, 8)} and g = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)} (f + g) (2) = given: f = {(0, 1), (2, 4), (4, 6), (6, 8)} and g = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)} (f - g) (6) = given: f = {(0, 1), (2, 4), (4, 6), (6, 8)} and g = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)} (f g) (2) =
(f + g) is { (2,6) ,(6,11) ,(9,14),(12,17) } and (f - g) is { (-2,-4) ,(-2,-3) ,(-1,-2),(0,-1)}.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
Given the functions f and g
f = {(0, 1), (2, 4), (4, 6), (6, 8)}
g = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
Now,
f + g is nothing but the sum of x and y corresponding
For example (0,1) + (2,5) = (2 ,6)
Similarly (0,1) - (2,5) = (-2,-4)
So,
(f + g) = { (2,6) ,(6,11) ,(9,14),(12,17) }
(f - g) = { (-2,-4) ,(-2,-3) ,(-1,-2),(0,-1)}
Hence "(f + g) is { (2,6) ,(6,11) ,(9,14),(12,17) } and (f - g) is { (-2,-4) ,(-2,-3) ,(-1,-2),(0,-1)}".
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The length of a bacterial cell is about 5 x 10−6 m, and the length of an amoeba cell is about 3.5 x 10−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits.
1.4 x 101
7 x 101
143 x 101
7 x 103
The bacterial cell is 7 x 10¹ times smaller than the amoeba cell.
Here,
The length of a bacterial cell is about 5 x 10⁻⁶ m.
The length of an amoeba cell is about 3.5 x 10⁻⁴ m.
We have to find the how many times the bacterial cell is smaller than the amoeba cell.
What is Division method?
Division method is used to distributing a group of things into equal parts.
Now,
The length of a bacterial cell is = 5 x 10⁻⁶ m.
The length of an amoeba cell is = 3.5 x 10⁻⁴ m.
Hence, The size of cell is calculated as = 3.5 x 10⁻⁴ ÷ 5 x 10⁻⁶
= 0.7 x 10²
= 7 x 10¹
Therefore, The bacterial cell is 7 x 10¹ times smaller than the amoeba cell.
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Answer:
7 x 10^1 (i got it right on the exam)
Rewrite, using the distributive
property.
1(19c+30) = [?]c + [ ]
Answer:
19c + 30
Step-by-step explanation:
Distributive property : a(b+c) = ab + ac
Explanation : simply multiply the value on the outside of the parenthesis by both the values on the inside of the parenthesis.
Here we have 1(19c + 30)
To distribute, we multiply 1 by both 19c and 30
1 x 19c = 19c
1 x 30 = 30
We're left with 19c + 30
someone help pleaseeeee
Answer: I think 1.2
Step-by-step explanation:
1.35
just random question te get points ;)
Answer:
450 eggs
Step-by-step explanation:
if an egg box can hold 10 eggs
then 45x10=450
Put together the whole solution.
53116 is equal to 10+ 10+ 10+ 3 with a remainder.
531 divided by 16
Explanation:
531/16=(10+10+10+3) + 3
Didisor =16
Dividend=531
Quotient= 10+10+10+3
=33
Remainder=3
531-3=33*16
528=33*16
528/16=33
33=33
Write down the value of
5°
Answer:
The absolute value of 5 is the distance of 5 from the 0. So you go 1, 2, 3, 4, 5. 5 is exactly 5 to the right of 0. So the absolute value of 5 is just 5.
Step-by-step explanation:
Consecutive NUMBERSSS
Answer: The three consecutive numbers that make up -30 are -9, -10, and -11, -9 + -10 + -11 = -30. The smallest of the three consecutive numbers is -11.
Step-by-step explanation:
a right circular cylinder, a, has radius r and height h. another right circular cylinder, b, has radius 3r and height 2h. what is the ratio of the volume of a to the volume of b ?
The ratio of the volume of the rigth circular cylinder a to the volume of the right circular cylinder b is 1: 18.
According to the given question.
We have two right circular cylinder, a nd b.
Also,
The radius of right circular cylinder, a is r.
The height of the right circular cylinder, a is h.
The radius of the right circular cylinder, b is 3r.
And the height of the right circular cylinder, b is 2h.
As we know that, the volume of a cylinder can be calculated using the formula V=πr^2(h). Where r is the radius and h is the height of the cylinder.
So, the volume of the right circular cylinder a = πr^2h
And, the volume of the right circular cylinder b = π(3r)^2(2h) = 18hr^2π
Therefore,
The ratio of the volume of the rigth circular cylinder a to the volume of the right circular cylinder b
= πr^2h/18hr^2π
= 1:18
Hence, the ratio of the volume of the rigth circular cylinder a to the volume of the right circular cylinder b is 1: 18.
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Convert 10 centimeters into yards. Round your answer to the nearest hundredth.
Answer:
0.11 yards
Step-by-step explanation:
To convert centimeters to yards, find the needed unit conversions:
[tex]cm(\frac{in}{cm})(\frac{ft}{in})(\frac{yd}{ft})[/tex]
Convert centimeters to inches, inches to feet, then feet to yards!
Now replace the values with the correct quantities:
[tex]10cm(\frac{1in}{2.54cm})(\frac{1 ft}{12 in})(\frac{1 yd}{3 ft})[/tex]
Finally, simplify and cross-cancel the units:
[tex]0.10936... yd[/tex]
Round to the nearest hundredth:
[tex]0.11 yd[/tex]
6. Seeta thinks a number and subtracts 7/3 from it. She multiplies the result by 6. The result now obtained is 2 less than twice the same number she thought of. What is the number?
Greetings from Brasil...
The number thought will be X, so
6.(X - 7/3) = 2 - 2X
X = 2what is the volume of the 3ft 25 square feet prism
If you were to describe a reection of triangle , what information would you need to include in your description?
Reflection over the y-axis: (x,y)→(−x,y)
Reflection over the x-axis: (x,y)→(x,−y)
When making a reflection of a triangle and describing it you would need to provide the following two details. First, over which axis the triangle is being reflected over. Secondly, the exact location of each reflected point of the triangle. Doing so would describe how the triangle is being reflected and which point is ending up in which location. Thus, letting the viewer/reader know exactly what is being done to the triangle
Triangle reflection is the figure obtained when a triangle is flipped on a coordinate system based on a line of reflection.
Reflection over the y-axis: (x,y)→(−x,y)
Reflection over the x-axis: (x,y)→(x,−y)
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599 tickets sold for a play. there were 51 fewer student tickets sold than adult tickets. how man adult tickets were sold
Answer: Adult tickets were sold = 325
Step-by-step explanation:
Let, A = Number of adult tickets sold
S = Number of student tickets sold
Total number of tickets=599
Therefore:
A + S = 599
If, there were 51 fewer student tickets sold them adult tickets.
Since,
S=A-51
So, substitute A-51 for the value of the first equation.
A+S=599
A+(A-51)=599
Expanding to get:
2A-51=599
Solve to get:
2A=599+512
A=650A
A=325
So, A=325 adult tickets were sold.
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There are 8 guests at lincoln's party. if each guest will be served exactly 1/4 pint of ice cream, how many pints of ice cream will he need? express your answer in simplest form.
Answer:
2 pints
Step-by-step explanation:
if you add all of it up you get 2 pints.
1/4*8 = 2 pints