Answer:
odds and probably are the same. If there is 0.25 chance that means there is basically a 25% chance the event will happen or 1/4 chance.
Step-by-step explanation:
Expand the following expression 3(4−5x)
Answer:
12-15x
Step-by-step explanation:
3 × 4=12
3 × -5x=-15x
12 - 15x
The value of a car dropped from $35,600 to $30,189 over the last year. Determine the absolute and relative
change in this situation. Round your answer to the nearest hundredth.
Absolute change=
Relative change=
Step-by-step explanation:
Given data
old price= $35,600
new price=$30,189
Absolute change= old price -new price
Absolute change=35,600-30,189
Absolute change=5411
Relative change=(old price -new price)/old
Relative change=(35,600-30,189)/35,600
Relative change=5411/35,600
Relative change=0.151
the relative change is a percentage= 0.151*100= 15.1%
8.) A line passes through the points (k, 4) and (3, -6). The line is perpendicular to
the graph of 5y + 4x = 8. What is the value of k?
Answer:
K = 43
Step-by-step explanation:
We'll begin by determining the gradient of the equation 5y + 4x = 8. This can be obtained as follow:
5y + 4x = 8
Rearrange
5y = 8 – 4x
5y = –4x + 8
Comparing 5y = –4x + 8 with y = mx + c, the gradient m is –4
Next, we shall determine the gradient of the line perpendicular to the line with equation 5y = 8 – 4x.
This can be obtained as follow:
For perpendicular lines, their gradient is given by:
m1 × m2 = – 1
With the above formula, we can obtain the gradient of the line as follow:
m1 × m2 = – 1
m1 = –4
–4 × m2 = – 1
Divide both side by –4
m2 = –1/–4
m2 = 1/4
Finally, we shall determine the value of k as follow:
Coordinate => (k, 4) and (3, –6)
x1 coordinate = k
y1 coordinate = 4
x2 coordinate = 3
y2 coordinate = –6
Gradient (m) = 1/4
m = (y2 – y1) / (x2 – x1)
1/4 = (–6 – 4) / (3 – K)
1/4 = –10 /(3 – K)
Cross multiply
3 – K = 4 × –10
3 – K = –40
Collect like terms
– K = – 40 –3
–k = –43
Divide both side by – 1
K = –43/–1
k = 43
How many solutions does this equation have?
7a+5(a+3) = 8a+4(a+2)
Answer:
There is no solution
Step-by-step explanation:
The population of the United States increased by 27323632 in 2011. What proportion of this change is accounted for by Florida population? Round to the nearest hundredth. The population change for Florida is 218929 in 2011. Plz help
Answer:
To the nearest hundredth, this has a value of 0.01
Step-by-step explanation:
To find the proportion of the population change accounted for by Florida population, we just need to divide the population change for Florida by the population change in the entire country;
Mathematically, that will be ;
218929/27323632 = 0.008012441391393
To the nearest hundredth, this represents 0.01
What is the slope of a line parallel to a line whose slope is 5/2?
Answer:
5/2
Step-by-step explanation:
Parallel lines have the same slopes
Answer:
Step-by-step explanation:
because the new line is parallel, it will have the same slope as the original equation.
slope
=
−
3
we know the slope and a point, so we can use the point slope formula:
y
−
y
1
=
m
(
x
−
x
1
)
y
1
is the y coodinate,
x
1
is the x coordinate,
and m is the slope
plug the values in
y
+
2
=
−
3
(
x
+
5
)
PLEASE HELP!!!!!!!!BRAINLIEST PLUS 16 POINTS
y = −5x2 + 10x + 12.
Part A: Show your work to complete the square of the function. (1 point)
Part B: Identify the vertex of the function. (1 point)
Part C: Explain how to determine the maximum or minimum value of the function. (2 points)
Answer:
5x2=10+10=20+12= 32.
Step-by-step explanation
The correct answer is 32.
Hope I helped.
How can I prove to my teacher I’m smart when I’m a kinda low-key student to her. Especially in mathematics.
Answer:
Do your work? Especially if you do it fast, it amazes them lol
The length of a rectangle garden is 5 m greater than the width the area of the garden is 66 m² find the dimensions of the garden
The sum of two squares of two consecutive numbers is 145. What are those two numbers?
Answer:
8 and 9
Step-by-step explanation:
Answer:
Think!
72 + 82 = 49 + 64 = 113
82 + 92 = 64 + 81 = 145
Step-by-step explanation:
Found the answer by simple experimentation.
hope this helps
Mr. Morales purchased 218 acres of land for his farm. If the total price of the land was $163,282, how much did each acre cost?
Answer:
$749 each
Step-by-step explanation:
HELLP ASAAAAP If each of two complimentary angles has the same measure, then which angle will equal _______.
Answer:
A complimentary angle is 90°
Step-by-step explanation:
Hope this helped! <3
Ace Heating and Air Conditioning Service finds that the amount of time a repairman needs to fix a furnace is uniformly distributed from 5 and 9 hours. . Let x = the time needed to fix a furnace.
Required:
a. What is the probability that it takes the repairman more than 7 hours to fix a furnace?
b. Find the probability that a randomly selected furnace repair requires less than 3 hours.
c. Find the 30th percentile of furnace repair times.
d. The longest 25% of repair furnace repairs take at least how long? (In other words: Find the minimum time for the longest 25% of repair times.) What percentile does this represent?
e. Find the mean and standard deviation
Answer:
a
[tex]P(X > 7) = 0.5[/tex]
b
[tex]P(X < 3) = -0.5[/tex]
c
[tex]x = 6.2 \ hours[/tex]
d
[tex]x_1 = 8 \ hours[/tex]
e
Mean [tex]\mu = 7[/tex]
Standard deviation [tex]s \approx 1.1547[/tex]
Step-by-step explanation:
From the question we are told that
The amount of time a repairman needs to fix a furnace is uniformly distributed from 5 and 9 hours
Generally the probability that it takes the repairman more than 7 hours to fix a furnace is mathematically represented as
[tex]P(X > 7) = \frac{9- 7}{9-5}[/tex]
=>[tex]P(X > 7) = 0.5[/tex]
Generally the probability that a randomly selected furnace repair requires less than 3 hours. is mathematically represented as
[tex]P(X < 3) = \frac{3 -5}{9-5}[/tex]
=>[tex]P(X < 3) = -0.5[/tex]
Generally the 30th percentile of furnace repair times is mathematically represented as
[tex]30^{th} \ percentile = \frac{x - 5}{9-5}[/tex]
=> [tex]0.3 = \frac{x - 5}{9-5}[/tex]
=> [tex]x = 6.2 \ hours[/tex]
Generally the time taken for the longest 25% of furnace repair is mathematically evaluated as
[tex]75^{th} \ percentile = \frac{x_1 - 5}{9-5}[/tex]
Here making use of the [tex]75^{th}[/tex] because we are considering duration that fall with the top [tex]25^{th}[/tex]
=> [tex]0.75 = \frac{x_1 - 5}{9-5}[/tex]
=> [tex]x_1 = 8 \ hours[/tex]
Generally the mean is mathematically represented as
[tex]\mu = \frac{5 + 9 }{2}[/tex]
=> [tex]\mu = 7[/tex]
Generally the standard deviation is mathematically represented as
[tex]s = \sqrt{ \frac{(9- 5)^2}{12} }[/tex]
=> [tex]s \approx 1.1547[/tex]
The value of n is a distance of 3 units from 1 an 1/2 on a number line click on the number line to the possible values of n
Answer:
3
Step-by-step explanation:
Given the question :
The value of n is a distance of 3 units from 1 an 1/2 on a number line click on the number line to the possible values of n
From the context of the expression:
n is the distance which exists between 1 1/2 and 3 units from it;
Which may be ;
1 1/2 - - - - (1 1/2 + 3) = 4 1/2
1 1/2 - - - - - (3 - 1 1/2)
Either way, there exists a distance of 3 units between 1 1/2 and 3 units from it.
Hence, n = 3
Answer:
1 and 3 would both be correct
890 g of copper is mixed with 100 g of zinc to form brass. The density of copper is 8.9 g/cm³ and the density of zinc is 7.1 g / cm ³ .
a ) What is the volume of copper and zinc used to make the brass ?
b ) Calculate the density of the brass .
Density ρ is equal to mass m per unit volume v, or
ρ = m / v
Solve for volume:
v = m / ρ
(a) 890 g of copper, which has a density of 8.9 g/cm³, has a volume of
v = (890 g) / (8.9 g/cm³) = 100 cm³
100 g of zinc, with density 7.1 g/cm³, has a volume of
v = (100 g) / (7.1 g/cm³) ≈ 14.08 cm³
(b) The density of brass is then
ρ = (890 g + 100 g) / (100 cm³ + 14.08 cm³) ≈ 8.68 g/cm³
A university designs its campus with a master plan of two concentric circles. All of the academic buildings are within the inner circle (so that students can get between classes in less than 10 minutes), and the outer circle contains all the dormitories, the Greek park, cafeterias, the gymnasium, and intramural fields. Assuming the center of campus is the origin, write an equation for the outer circle if the diameter is 3800 feet. Equation Editor
Answer:
[tex]x^2+y^2=36100000[/tex]
Step-by-step explanation:
Here it is mentioned that the there are two concentric circles this means that they have the same center.
The center of the circles are the origin [tex](0,0)[/tex].
Radius of the outer circle is
[tex]r=\dfrac{3800}{2}=1900\ \text{m}[/tex]
Equation of a circle
[tex](x-a)^2+(y-a)^2=r^2[/tex]
where
[tex]a\ \text{and}\ b\ \text{are the}\ x\ \text{and}\ y\ \text{coordinates of the center}[/tex]
[tex]r=\text{Radius of the circle}[/tex]
Here the equation will be
[tex](x-0)^2+(y-0)^2=1900^2\\\Rightarrow x^2+y^2=3610000[/tex]
The equation of the outer circle is [tex]x^2+y^2=3610000[/tex]
Plot point F so that △ABC ≅ △FGH. Identify a sequence of rigid motions that maps △ABC onto △FGH and use a theorem to complete the explanation of why the triangles are congruent.
Answer:
Step-by-step explanation:
Point F is plotted at (5, 4)
Translate ΔABC so that point B maps to point G.
B(1, -1) → G(0, 3)
Rule for the translation,
(x, y) → [x - 1, y + 4]
By this rule,
Point C will map the point,
C(-1, -2) → C'[(-1 - 1), (-2 + 4)]
→ C'(-2, 2)
A(-4, 0) → A'[(-4 - 1), (0 + 4)]
→ A'(-5, 4)
Now reflect these points across y-axis.
Rule for the reflection across y-axis,
(x, y) → (-x, y)
Points after reflection will be,
A'(-5, 4) → F(5, 4)
B'(0, 3) → G(0, 3)
C'(-2, 2) → H(2, 2)
Distance formula,
d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
AB = [tex]\sqrt{(1+4)^2+(-1-0)^2}[/tex] = [tex]\sqrt{26}[/tex]
BC = [tex]\sqrt{(-2+1)^2+(-1-1)^2}[/tex] = [tex]\sqrt{5}[/tex]
CA = [tex]\sqrt{(-4+1)^2+(-2-0)^2}[/tex] = [tex]\sqrt{13}[/tex]
FG = [tex]\sqrt{(5-0)^2+(4-3)^2} =\sqrt{26}[/tex]
GH = [tex]\sqrt{(2-0)^2+(2-3)^2}=\sqrt{5}[/tex]
HF = [tex]\sqrt{(4-2)^2+(5-2)^2}=\sqrt{13}[/tex]
AB ≅ FG, BC ≅ GH, CA ≅ HF
By the SSS property Triangle congruence theorem, ΔABC ≅ ΔFGH
2 1.3.3 Quiz: Random Sampling
Question 1 of 10
Three national news networks are trying to estimate what percentage of
American voters support a particular presidential candidate. To estimate the
population parameter, each of the three networks collect data from a simple
random sample of voters. Here are the numbers of voters in the networks'
random samples:
• Network A: 3800 voters sampled
• Network B: 3500 voters sampled
• Network C: 3250 voters sampled
Which sample is likely to have the least variability?
A. The Network A sample
OB. The Network B sample
OC. The Network C sample
Answer:
A. The Network A sample
Step-by-step explanation:
The variability of a dataset is a measure of how values in the dataset deviates from the mean value, the variability of a dataset is usually measured using the variance and standard deviation of the data values.
In statistics, variability is curbed by increasing the sample size of the data as larger values in the sample usually means that the sample mean will be close to the population mean. Hence, since network A has the highest number of Sampled voters, then Network A will likely have lesser variability than both Network B and C. Similarly, Network B will likely have lesser variability than Network C.
Network A: 3800 voters sampled
• Network B: 3500 voters sampled
• Network C: 3250 voters sampled
Answer:
A.
Step-by-step explanation:
Just took the test
A survey of 800 college seniors resulted in the following crosstabulation regarding their undergraduate major and their plan of going to graduate school. Compute the row percentages.
A. Yes = 35% and No = 65% Business = 25%, Engineering = 30%, and Others = 45%
B. Yes = 48% and No = 52% Business = 31.5%, Engineering = 36.5%, and Others = 32%
Incomplete question. Attached is an image of the table.
Step-by-step explanation:
A.
Yes = 35% = [tex]\frac{280}{800} * 100 =[/tex] 35%. and No = 65% = [tex]\frac{520}{800} * 100 =[/tex] 65%
Business = 25% = [tex]\frac{70}{280} * 100 =[/tex] 25%.Engineering = 30% = [tex]\frac{84}{280} * 100 =[/tex] 30%. and Others = 45% = [tex]\frac{126}{280} * 100 =[/tex] 45%.13. Find the slope of the line that contains (3, 1) and (1, 1).
Answer:
slope would be zero
Step-by-step explanation:
It is not moving on the graph
Hope this helps!
uhh so ders dis man and he fell one day on his butt, uhh so den he fell,,uhh another day....on his butt, how many times did he fall on his but?
Answer:
2 times
Step-by-step explanation:
Answer:
he did it 2 times
Step-by-step explanation:
because first, he fell on his but once the first day, and second the 2nd day.
Find the general solution of the given higher-order differential equation. y''' + 3y'' + 3y' + y = 0
Answer:
[tex]y(x)=c_1e^{-x}+c_2xe^{-x}+c_3x^2e^{-x}[/tex]
Step-by-step explanation:
We can determine the characteristic equation all we have to do is:
let y' = m, hence y" = m², y'" = m³
Therefore, the higher-order differential equation becomes:
m³ + 3m² + 3m + 1 = 0
(m + 1)(m² + 2m + 1) = 0
(m + 1)(m + 1)(m + 1) = 0
(m + 1)³ = 0
m = -1, -1, -1
Therefore the general solution is given as:
[tex]y(x)=c_1e^{-x}+c_2xe^{-x}+c_3x^2e^{-x}[/tex]
[tex]c_1,c_2,c_3\ are\ constants.[/tex]
Does the following road sign have rotational symmetry?
Yes
No
Answer:
YES
Step-by-step explanation:
ITS JUST YES
Slope -2/3 through (-9,10)
Answer:
y = − 2 /3 x + 4
Step-by-step explanation:
Answer: y=-2/3x + 4
Step-by-step explanation:
given 0.731
enter an equivalent fraction in the thousands
and
enter an equivalent percentage
A cereal company estimates that its monthly cost is
C(x) = 400x2 + 300x and its monthly revenue is
R(x) = -0.6x3 + 900x2 – 400x + 700, where x is in thousands of
boxes sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
Answer:
P(x)= -0.6x^3 + 500x^2
Step-by-step explanation:
given data
monthly cost
C(x) = 400x^2 + 300x
revenue is
R(x) = -0.6x^3 + 900x^2 – 400x + 700,
where x is in thousands of boxes sold.
we know that the profit is the difference between the revenue and the cost.
therefore P(x)=R(x)-C(x)
P(x)= -0.6x^3 + 900x^2 – 400x + 700-(400x^2 + 300x )
P(x)= -0.6x^3 + 900x^2 – 400x + 700-400x^2 - 300x
P(x)= -0.6x^3 + 500x^2
What is the percent of decrease from 2,000 to 1,000?
Answer:
50%
Step-by-step explanation:
2,000 is 2 x more than 1,000. Or, 1,000 is half of 2,000 and half of 100%=50%.
The integrity of financial statement presentations and disclosures is enhanced when
a) The financial statements are audited by a CPA.
b) The financial statements are prepared in an environment that includes a strong system of internal control.
c) The financial statement preparers have the appropriate education and experience necessary.
d) All of the above.
Answer:
All of the above
Step-by-step explanation:
In this question, we want to select which of the options can enhance the integrity of financial statements preparations and disclosure.
The correct answer is the last option which is all of the above
The last option is correct because each of the individual options above it will enhance the integrity.
A financial statement with integrity is one which is audited by the CPA, prepared in an environment with strict interval control and overall the people who are in charge of preparing it are experienced people
One-half of a number x is equal to the sum of two and
the same number & . Find the value of x.
Answer:
x=-4
Step-by-step explanation:
This is the equation you can write (assuming you meant "the same number x"):
1/2x=2+x
x=4+2x
-x=4
x=-4
Each morning, Jessica's mom drives 3.85 miles to take Jessica to school, then 4.9 miles to work. How many miles does
Jessica's mom drive each morning? Explain how you solved the problem.