Answer:
-105, -104, -103
Step-by-step explanation:
lets the numbers be:
x
x+1
x+2
so:
x+(x+1)+(x+2)=-312
x+x+x+1+2=-312
3x+3=-312
3x=-312-3=-315
x=-315/3=-105
Which inequality is true? Use the number line to help.
-2.5 -2 -1.5 -1
-0.5 0
0.5
1
1.5
2
2.5
0 -1.5 0.5
0 -0.50
O-1.5 <-0.5
o 2205
Answer:
C. -1.5 < -0.5
Step-by-step explanation:
On a number line, the farther a number is to the right away from 0, the greater the number. While the farther it is from 0 to the left, the smaller it is.
Thus, the out of the options given, the only inequality given that is true is:
-1.5 < -0.5
This is because, -1.5 on the numberline is farther away to the left from 0 than -0.5. therefore, -1.5 is lesser than -0.5.
Help please. Need to get this right to get 100%
Answer:
Step-by-step explanation:
[tex]f(x) = \frac{4}{x}\\\\f(a) = \frac{4}{a}\\\\f(a+h) = \frac{4}{a+h}\\\\\frac{f(a+h) - f(a)}{h} = \frac{\frac{4}{a+h} - \frac{4}{a}}{h}[/tex]
[tex]=\frac{\frac{4(a)}{(a+h)a} - \frac{4(a+h)}{a(a+h)}}{h}\\\\=\frac{\frac{4a - 4a - 4h}{a(a+h)}}{h}\\\\=\frac{\frac{ - 4h}{a(a+h)}}{h}\\\\= \frac{-4h}{a(a+h) \times h}\\\\= -\frac{4}{a(a+h)}\\\\[/tex]
URGENT 50 POINTS
Which equation does the graph below represent?
Answer:
It is indeed y = -4x
Step-by-step explanation:
We see that for every increase of 1 in the x direction, y goes down 4.
Pay attention to the scales of the x and y axes.
Slope = rise/run
we rise -4 and run 1.
so the slope is -4/1 = -4
The y-intercept is at (0,0)
So the equation is y = -4x
Which of the following are exterior angles?
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
↦∠ 3, ∠ 2, ∠ 6, ∠ 5 are the exterior angles in this figure.
Step-by-step explanation:↦ They aren't located inside the figure like ∠ 1 & ∠ 4, so they are exterior angles.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Someone pls help me due in 30 min. Given that x and y show inverse variation, complete the table.
Answer:
1st blank=[tex]y_{1}[/tex]
2nd blank=[tex]x_{1}[/tex]
3rd blank= [tex]y_{2}[/tex]
3*27=81
so 1*[tex]y_{1}[/tex]=81
hence [tex]y_{1}[/tex]=81
9* [tex]x_{1}[/tex]= 81
[tex]x_{1}[/tex]=9
27*[tex]y_{2}[/tex]=81
[tex]y_{2}[/tex]=3
Thus solved.
Hope this helps.
Please mark me as brainliest.
Suppose that you are interested in determining the average height of a person in a large city. You begin by collecting the heights of a random sample of 196 people from the city. The average height of your sample is 68 inches, while the standard deviation of the heights in your sample is 7 inches. The standard error of your estimate of the average height in the city is
Answer:
The standard error of your estimate of the average height in the city is 0.5 inches.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
You begin by collecting the heights of a random sample of 196 people from the city.
This means that [tex]n = 196[/tex]
The standard deviation of the heights in your sample is 7 inches.
This means that [tex]\sigma = 7[/tex]
The standard error of your estimate of the average height in the city is
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{7}{\sqrt{196}} = 0.5[/tex]
The standard error of your estimate of the average height in the city is 0.5 inches.
The durations (minutes) of 26 electric power outages in Shah Alam over the past five years are shown below. 32 44 25 66 27 12 62 9 51 4 17 50 35 99 30 21 12 53 25 2 18 24 84 30 17 17 (a) Find the mean, median and mode.
Answer:
Mean = 33.31
Median = 26
Mode = 17
Step-by-step explanation:
Given the data:
32 44 25 66 27 12 62 9 51 4 17 50 35 99 30 21 12 53 25 2 18 24 84 30 17 17
Reordered data : 2, 4, 9, 12, 12, 17, 17, 17, 18, 21, 24, 25, 25, 27, 30, 30, 32, 35, 44, 50, 51, 53, 62, 66, 84, 99
The mean, xbar = Σx / n = 866 /26 = 33.31
The median = 1/2(n+1)th term
Median = 1/2(27)th term = 13.5th term
Median = (13 + 14)th / 2
Median = (25 + 27) / 2 = 26
The mode = 17 (highest frequency)
Jose bought 750 bags of peanuts for 375.00. He intends to sell each bag for 0.15 more the he paid. How much should he charge for each bag
Answer:
Charge for each bag = 0.65
Step-by-step explanation:
Let the cost of 1 bag be = x
Bags Cost
750 375.00
1 x
[tex]\frac{750}{1} = \frac{375}{x}\\\\x \times 750 = 375 \times 1\\\\x = \frac{375}{750} = 0.50[/tex]
Therefore, the amount Jose paid for each bag = 0.50
He is going to sell each bag for 0.15 more than he paid,
that is , 0.50 + 0.15 = 0.65
Find the solution for this system of equations.
2x + 4y = 8
x = 3y − 6
Answer:
[tex]{ \tt{2x + 4y = 8 - - - (a)}} \\ { \tt{x = 3y - 6 - - - (b)}} [/tex]
Substitute for x in equation (a) :
[tex]{ \tt{2(3y - 6) + 4y = 8}} \\ { \tt{6y - 12 + 4y = 8}} \\ { \tt{10y = 20}} \\ y = 2[/tex]
Substitute for y in equation (b) :
[tex]{ \tt{x = (3 \times 2) - 6}} \\ x = 0[/tex]
2x+4y =8
x=3y-6 ——> x–3y=–6
x–3y = – 6 ] ×(–2) ——> –2x +6y=12
2x+4y=8
–2x+6y =12
__o_o____
0+10y=20 —> 10y= 20 —> y= 20/10 —> y= 2
2x+4y=8 —> 2x + 4(2) = 8 —> 2x + 8=8 —> 2x = 0 —> x=0
(x,y) —> (0,2)
PLEASEEEE HELPP MEEEE I NEED HELPPPPPPP PLELASEEEEEE I REALLY DONT GET THIS AT ALL I JUST WANNA PAST THE 6th grade
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)
g(t) =
4 + t + t2
t
G(t) =
Step-by-step explanation:
[tex]G(t) =\displaystyle \int (4 + t + t^2)dt[/tex]
[tex]\:\:\:\:\:\:\:=4t + \frac{1}{2}t^2 + \frac{1}{3}t^3 + C[/tex]
Check:
[tex]\dfrac{d}{dt}(4t + \frac{1}{2}t^2 + \frac{1}{3}t^3+C)= 4 + t + t^2 =g(t)[/tex]
Last year there were two hundred and forty seven thousand, three hundred and seventy two weddings in the UK.
Write this as a number
Answer:
247372
Step-by-step explanation:
two hundreds forty seven thousand, three hundred and seventy two
The number of weddings in the UK in numerical form will be 247,372.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Last year there were two hundred and forty-seven thousand, three hundred and seventy-two weddings in the UK.
Convert the statement into a number. Then we have
⇒ 247,372
The number of weddings in the UK in numerical form will be 247,372.
More about the Algebra link is given below.
https://brainly.com/question/953809
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There are 200 blue balls and 10 red balls in an urn. Suppose that 10 balls are taken random;ly from the urn and let X denote the number of red balls selected.
a) The distribution of the random variable X is___.
i) Binomial.
ii) Hypergeometric.
iii) Poisson.
iv) Normal.
v) Exponential.
vi) Uniform
b) Find P(all 10 balls are red).
c) Which distribution from those listed in part (a) can be used as an approximation to the distribution of X? With this approximation find P(X = 10).
Answer:
Hypergeometric
Kindly check explanation
Step-by-step explanation:
For a hypergeometric distribution, the following conditions must be met :
1.) The total number of samples must be fixed.
2.) Sample size will be a portion of the population
3.) The probability of success changes per trial. This is because sampling is done without replacement
The above scenario meets the condition described:
Total number of samples = 210
Sample size, n = 10
Blue balls = 200 ; red balls = 10
P(10 red balls)
Using the hypergeometric distribution function and the calculator :
X ~ H(n, N, M)
X ~ (10, 200, 210) = 0.6072
Marty's barber shop has one barber. Customers arrive at a rate of 2.2 per hour and haircuts are given at a rate of 5 customers per hour. Assume a Poisson arrival rate and an Exponential service time distribution.
Required:
a. What is the probability that one customer is receiving a haircut and one customer is waiting?
b. What is the probability that one customer is receiving a haircut and two customers are waiting?
c. What is the probability that more than two customers are waiting?
Answer:
Step-by-step explanation:
Arrival rate = ∧ = 2.2 customers per hour
Service rate = u = 5 customers per hour
1. Probability that one customer is receiving a haircut and one customer is waiting
P(2 customers)=(∧/u)^2 * (1-∧/u)=(2.2/5)^2 * (1-2.2/5)=0.1936*0.56= 0.108416
2. Probability that one customer is receiving a haircut and two customers are waiting
P(3 customers)= (∧/u)^3 * (1-∧/u)=(2.2/5)^3 * (1-2.2/5)= 0.085184
* 0.56= 0.04770304
3. Probability that more than two customers are waiting
P(more than 3 customers)=1- P(less than 3 customers) =
1- [P(0)+P(1)+P(2)+P(3)]=
= 1- [(1-2.2/5) +2.2/5*(1- 2.2/5) + 0.108416+0.04770304]=1-0.9625=0.0375
Which sequence is generated by the function f(n + 1) = f(n) - 2 for f(1) = 10?
-10, -12, -14, -16, -18,...
0-2, 8, 18, 28, 38, ...
08, 18, 28, 38, 48, ...
O ,
10, 8, 6, 4, 2, ...
Answer:
10, 8, 6, 4, 2, ...
Step-by-step explanation:
For this problem, you were given the recursive rule. The recursive rule consists of an equation that represents how the former term is modified to get the current term and the first term of the sequence. F(1) means the first term; in this case, the first term is 10. The equation in the rule shows that 2 is subtracted from the last term to get the current term. This means that the common difference is -2 and each term decreases by 2. Therefore, the last option, 10, 8, 6, 4, 2, ..., is correct.
Put the equation y = x^2- 14x + 48 into the form y = (x-h)^2+k
please help me!
Answer:
Step-by-step explanation:
Answer:
[tex]y=(x-7)^2-1[/tex]
Step-by-step explanation:
We want to convert the equation:
[tex]\displaystyle y=x^2-14x+48[/tex]
Into vertex form, given by:
[tex]\displaystyle y=a(x-h)^2+k[/tex]
Where a is the leading coefficient and (h, k) is the vertex.
There are two methods of doing this. We can either: (1) use the vertex formulas or (2) complete the square.
Method 1) Vertex Formulas
Let's use the vertex formulas. First, note that the leading coefficient a of our equation is 1.
Recall that the vertex is given by:
[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = 1, b = -14, and c = 48. Find the x-coordinate of the vertex:
[tex]\displaystyle x=-\frac{(-14)}{2(1)}=7[/tex]
To find the y-coordinate, substitute this value back into the equation. Hence:
[tex]y=(7)^2-14(7)+48=-1[/tex]
Therefore, our vertex (h, k) is (7, -1), where h = 7 and k = -1.
And since we already determined a = 1, our equation in vertex form is:
[tex]\displaystyle y=(x-7)^2-1[/tex]
Method 2) Completing the Square
We can also complete the square to acquire the vertex form. We have:
[tex]y=x^2-14x+48[/tex]
Factor out the leading coefficient from the first two terms. Since the leading coefficient is one in this case, we do not need to do anything significant:
[tex]y=(x^2-14x)+48[/tex]
Now, we half b and square it. The value of b in this case is -14. Half of -14 is -7 and its square is 49.
We will add this value inside the parentheses. Since we added 49 inside the parentheses, we will also subtract 49 outside to retain the equality of the equation. Hence:
[tex]y=(x^2-14x+49)+48-49[/tex]
Factor using the perfect square trinomial and simplify:
[tex]y=(x-7)^2-1[/tex]
We acquire the same solution as before, with the vertex being (7, -1).
Which value of X makes the quotient of (5x^5+90x^2-135x)/(x+3) undefined
A -2
B -3
C -4
D -1
Answer:
b) - 3
Step-by-step explanation:
If x = -3 , then
x + 3 = -3 + 3 = 0
So, denominator would become 0. So , anything divided by 0 is undefined
A man walked 5km then traveled a certain distance by Nissan urban bus and twice as far by train. if the whole journey was 104km, how far did he traveled?
Answer:
33km
Step-by-step explanation:
Let the distance traveled by bus be x, then distance traveled by train would be 2x
Therefore,
5 + x + 2x = 104
5 + 3x = 104
3x = 104 - 5
3x = 99
x = 33
Simplify the expression
A small college has 1200 students and 80 professors. The college is planning to increase enrollment to 1450 students next year. How many new professors should be hired to keep the ratio of students to professors the same
The number of new professors needed to hire to keep the ratio of students and professors the same is 16.66 professors.
Given,
A small college has 1200 students and 80 professors.
The college is planning to increase enrollment to 1450 students next year.
We need to find how many new professors should be hired to keep the
ratio of students to professors the same.
What is meant by proportion?If the two ratios are the same then we called it that they are in proportion.
Example:
4/6 = 10/15
2/3 = 2/3
Find the ratio between the students and professors before the increase in enrollment.
= Number of students / Number of professors
= 1200 / 80
Dividing by 8
= 150 / 10
= 15 / 1
This means one professor for 15 students.
Find the number of students after the increase in enrollment.
= 1450
Find the number of new students enrolled.
= 1450 - 1200
= 250
Since the ratio between the students and professor is 15 students for one professor.
For 250 new students, the number of new professors we need is:
= 250 ÷ 15
= 16.66
This means we need around 16.66 new professors.
Thus the number of new professors needed to hire to keep the ratio of students and professors the same is 16.66 professors.
Learn more about finding the number of students in a college with students and professors relation is given here:
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A roasted turkey is taken from an oven when its temperature has reached 185° Fahrenheit and is placed on a table in a room where the temperature is 75° Fahrenheit. Provide your answers accurate to at least 2 decimal places. (a) If the temperature of the turkey is 146° Fahrenheit after half an hour, what is its temperature after 45 minutes? Fahrenheit (b) When will the turkey cool to 100° Fahrenheit? hours.
Step-by-step explanation:
a the rate of changes = (185-146)/30
= 1.3° /minutes.
after 45 minutes = 1.3 ×45 = 58.5°
so, the temperature = 185 - 58.5
= 126.50°F
b. the time to reach 100°F =
(185-100)/ (1.3)
= 85/(1.3) = 65.38
after 65.38 minutes
Write an expression that is equal to 8 using only four 3s and any number of math symbols
Answer:
(3 × 3) - (3 ÷ 3) = 8
Step-by-step explanation:
We want to find an expression that when solved will be equal to 8.
But we are restricted to using only the number "3" four times with any Maths operation.
Thus let's try;
(3 × 3) - (3 ÷ 3) = 9 - 1 = 8
nen,
Problem: Two towns, A and B, located along the coast of the Pacific Ocean are 30
km apart on a north-south line. From a ship, the line of sight of town A is W30°N,
while that of town B is S400W.
1. How far is the ship from town A?
2. How far is the ship from town B?
Answer:
Step-by-step explanation:
From the picture attached,
m∠COB = 90° - m∠BOS
= 90° - 40°
= 50°
tan(30°) = [tex]\frac{AC}{OC}[/tex]
[tex]\frac{1}{\sqrt{3}}=\frac{AC}{OC}[/tex]
AC = [tex]\frac{OC}{\sqrt{3}}[/tex] ------(1)
Similarly, tan(50°) = [tex]\frac{BC}{OC}[/tex]
BC = OC[tan(50°)] -------(2)
Now AC + BC = 30 cm
By substituting the values of AC and BC from equation (1) and (2),
[tex]\frac{OC}{\sqrt{3}}+OC(\text{tan}50)=30[/tex]
(1.769)OC = 30
OC = 16.96
1). cos(30°) = [tex]\frac{OC}{AO}[/tex]
[tex]\frac{\sqrt{3}}{2}= \frac{16.96}{OA}[/tex]
[tex]OA=19.58[/tex] cm
Therefore, distance between the ship and town A is 19.58 cm.
2). cos(50°) = [tex]\frac{OC}{OB}[/tex]
0.6428 = [tex]\frac{16.96}{OB}[/tex]
OB = 26.38 cm
Therefore, distance between the ship and town B is 26.38 cm.
Which simplified fraction is equal to 0.53? Need answers now plz
Answer:
8/15
Step-by-step explanation:
Answer:
8/15
Step-by-step explanation:
when you divide 8/15 its 0.53
A ball is thrown upward with an initial velocity (v) of 15 meters per second. Suppose that the initial height (h) above the ground is 7
meters. At what time will the ball hit the ground? The ball is on the ground when S = 0. Use the equation S = -52 + vt + h.
The ball will hit the ground in how many
seconds?
Answer:
Step-by-step explanation:
Your equation is weird. The position equation for this situation is
[tex]s(t)=-4.9t^2+15t+7[/tex] and set it equal to 0 to solve for the time it takes to hit the ground. Those times come out to be
t = 3.47 sec and t = -.411 sec. But since time can never be negative, our time is 3.47 seconds
(What is that -52?)
Compare 3/10 and 1/5 by creating common denominators. then draw fractions models to show that you have written the correct sign. PELASEEEEEE
Answer:
[tex]\implies \dfrac{2}{10}< \dfrac{3}{10} [/tex]
Step-by-step explanation:
We need to compare the given two fractions .The given fractions are ,
[tex]\implies \dfrac{3}{10} [/tex]
[tex]\implies \dfrac{1}{5} [/tex]
Firstly let's convert them into like fractions . By multiplying 1/5 by 2/2 . We have ,
[tex]\implies \dfrac{1}{5} =\dfrac{1*2}{5*2}=\dfrac{2}{10} [/tex]
Now on comparing 2/10 and 3/10 we see that ,
[tex]\implies 2< 3 [/tex]
Therefore ,
[tex]\implies \dfrac{2}{10}< \dfrac{3}{10} [/tex]
Find the graph of the solution set of the following system of linear inequalities
Answer:
the graph looks like this:-
Step-by-step explanation:
for inequality 1
if we take x = 0 we get y = -4
and if we take y =0 we get x = 16
so we get 2 points (0, -4) and (16, 0) and the graph must pass thru these two.
now checking if the origin satisfies the inequality or not
take x and y = 0
0 + 0 is not greater than or equal to -16
so origin doesn't satisfy the inequality.
shade the graph on the side, of the line, opposite to where the origin is.
for inequality 2
if we take x = 0 we get y = 2
and if we take y =0 we get x = -⅔
so we get 2 points (0, 2) and (-⅔, 0) and the graph must pass thru these two.
the line should be a dotted line.
now checking if the origin satisfies the inequality or not
take x and y = 0
0 + 0 is less than 2
so origin satisfies the inequality.
shade the graph on that side of the line where the origin is.
[ red line shows graph 1 whereas the blue dotted line represents graph ]
Without third-party reimbursement, inclusive of private insurance carriers, healthcare finance and delivery systems that it supports would take on a very different complexion one that would not be sustainable. What does the author mean when she makes this statement?
Answer:
sorry dko alm hahahahahahahahajshaja
It takes Ricky, traveling at 24 mph, 45 minutes longer to go a certain distance than it takes Maria traveling at 51 mph, Find the distance traveled.
Answer:
85 mi
Step-by-step explanation:
Let d = the distance in miles traveled
Let M = the time in hours for Maria to travel d miles
[tex]m+\frac{3}{4} =[/tex] time in hours for Ricky to travel d miles
(Note that [tex]\frac{3}{4}[/tex] hrs = 45 min)
----------------------
Maria's equation:
d = 51m
Ricky's equation:
d = 24 · [tex](m+\frac{3}{4} )[/tex]
----------------------
Substitution:
51m = 24 · [tex](m+\frac{3}{4} )[/tex]
51m = 24m + 45
6m = 10
m = [tex]\frac{5}{3}[/tex]
----------------------
d = 51m
d = 51 · [tex](\frac{5}{3})[/tex]
d = 85
----------------------
The distance traveled is 85 mi
If it takes Ricky, traveling at 24 mph, 45 minutes longer to go a certain distance than it takes Maria traveling at 51 mph, the distance traveled is 85 miles
Speed and distancesSpeed is the ratio of distance traveled to time taken. Mathematically:
Distance = Speed/Time
According to the given question:
Let d be the distance in miles traveledLet M be the time in hours for Maria to travel d milesLet the required time in hours for Ricky to travel be d milesSet up the Maria equation:
d = 51m
Set up Ricky's equation:
d = 24 · (m+3/4)
Substitute
51m = 24 · (m+3/4)
51m = 24m + 45
6m = 10
m = 5/3
Determine the required distance
d = 51m
d = 51 · 5/3
d = 85
Hence the distance traveled is 85 mile
Learn more on distance and speed here: https://brainly.com/question/26046491
the compound interest of the rate of 5 percent on an amount of 4000$ at the end of 2 years
Answer:
hope you find it useful and helpful
