Answer:
The slope of the line is [tex]-\frac{1}{5}[/tex] in fraction form or -0.2 in decimal form.
Step-by-step explanation:
To solve for the slope of the line, use the rise over run formula. The rise over run formula is a measure of how much something changes vertically compared to how much it changes in the horizontal direction. The rise over run formula calculates the difference between the two points in the vertical direction (rise) and then divide it by the difference in the horizontal direction (run). The formula looks like [tex]\frac{rise}{run}[/tex], but in terms of finding a slope, it looks like [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
For finding the slope of this line with the points (-2,-1) and (8,-3), start by writing down the information given from the question.
[tex]y_{2}= -3[/tex]
[tex]y_{1}=-1[/tex]
[tex]x_{2}=8[/tex]
[tex]x_{1}= -2[/tex]
Next, plug in the information given from the question into the formula, and the formula will look like [tex]\frac{-3-(-1)}{8-(-2)}[/tex]. Then, simplify the equation, which will look like [tex]\frac{-2}{10}= -\frac{1}{5}[/tex]. The final answer will be [tex]-\frac{1}{5}[/tex] in fraction form or -0.2 in decimal form.
Consider the following graph:
What is the limit as it is approaching -1 from the right, what is the limit?
Answer:
The limit is 0, and the answer is given by option E.
Step-by-step explanation:
Limit to the right:
The limit of a function approacing a value of x to the right is given by the value of the function quite close to the point, looking to the right.
In this question:
Approacing by the right(x quite close, but more than -1, that is, -0.9999...), y tends to 0, so the limit is 0, and the answer is given by option E.
here we go it riddle time! READY??
whats starts off tall when young and shorter when older
(please dont report we r j trying to have some fun)
Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 22 Pennies 27 Dimes 9 Nickels 30 Quarters What is the probability that you reach into the jar and randomly grab a penny and then, without replacement, a dime
Answer:
[tex]P(Penny\ and\ Dime) = \frac{9}{116}[/tex]
Step-by-step explanation:
Given
[tex]Pennies = 22[/tex]
[tex]Dimes = 27[/tex]
[tex]Nickels = 9[/tex]
[tex]Quarters = 30[/tex]
Required
[tex]P(Penny\ and\ Dime)[/tex]
This is calculated as:
[tex]P(Penny\ and\ Dime) = P(Penny) * P(Dime)[/tex]
Since it is a selection without replacement, the computation is:
[tex]P(Penny\ and\ Dime) = \frac{Penny}{Total} * \frac{Dime}{Total-1}[/tex]
So, we have:
[tex]P(Penny\ and\ Dime) = \frac{22}{22+27+9+30} * \frac{Dime}{22+27+9+30-1}[/tex]
[tex]P(Penny\ and\ Dime) = \frac{22}{88} * \frac{27}{87}[/tex]
[tex]P(Penny\ and\ Dime) = \frac{1}{4} * \frac{9}{29}[/tex]
[tex]P(Penny\ and\ Dime) = \frac{9}{116}[/tex]
Find the equation of the line that has a slope of 7 and a y intercept of -10. Write you answer in the form of y = mx + b
Answer:
Step-by-step explanation:
y = mx + b is the slope-intercept form of a line where m is the number value of the slope and b is the number value of the y-intercept. Our slope is given as 7, therefore, m = 7 in our equation. Our y-intercept is given as -10; thus, b = -10. Filling that in gives us y = 7x - 10
Cheryl is making homemade fruit soda. She needs 14 pints of fruit juices and club soda for her recipe. How many cups of homemade fruit soda does Cheryl make?
6
Which expression is equivalent
Answer:
I thimk it is B
Step-by-step explanation:
Using a Simple Radom Sample of 500 rental property owners in Washington State, a 95% confidence interval estimate of the proportion who own rental property by the water is (0.281, 0.392). Which of the following is the correct interpretation of this interval?
a. Ninety-five percent of all samples of size 500 will result in a proportion of rental property between 0.281 and 0.392.
b. There is probability equal to 0.95 that the proportion of owning a rental property by the water is between 0.281 and 0.392
c. 95% confident that the sample proportion of rental propery owners in Washington is between 28.1% and 39.2%.
d. We can be 95% confident that between 28.1% and 39.2% of all rental property owners own a property by the water
Answer:
Hence the correct option is option d.
Explanation:
We can 95% confident that between 28.1% and 39.2% of all rental property owners own a property by the water.
Here correct option for interpretation of the 95% confidence interval. The remaining options are about probabilities and sample proportions.
which values are solutions to the inequality below? Check all that apply. √x <7
A. -15
B. 48
C. 14
D. 2
E.51
F. No Solutions
Answer:
B,C,D
Step-by-step explanation:
Square both sides of the equation to get rid of the square root surrounding x.
sqrtX^2 = x and 7^2 = 7*7 = 49
x<49
And since we have a radical, we have to have non-negative solutions (the radical used in the equation actually only means the positive square root) meaning x>0
So which one of the choices is less than 49 and greater than 0?
B,C, and D are all less than 49, and greater than 0
hi will you assit me please? God bless you for helping students
Helpppp plssssss I need to get my grade up in math
Answer: 1.25 square feet
This converts to the improper fraction 5/4
===========================================================
Explanation:
The area of the triangle on the left is base*height/2 = 0.5*2/2 = 0.5 square feet. Note that 1/2 = 0.5
The area of the triangle on the right side is base*height/2 = 0.2*3/2 = 0.75 square feet. This converts to the fraction 3/4
Add up the two results: 0.5+0.75 = 1.25 square feet
-----------
If you need the answer as an improper fraction, then,
1.25 = 1 + 0.25
1.25 = 1 + 1/4
1.25 = 4/4 + 1/4
1.25 = (4+1)/4
1.25 = 5/4
Do you think a friend would steal a led light controller after sleeping over cause I cannot find it?
Answer:
maybe u missplaced it somehow and it also would depend if you trust that person or not. some times that 'friend' can turn out to be fake but i don't mean it about ur friend. for now, u should just ask, there's no harm in that.
please helppppppppppppppp
Answer:
10 units
Step-by-step explanation:
Given that,
The area is modeled by the equation as follows :
[tex]A=-l^2-10l+300[/tex]
Where
l is the linear dimensions of the frame.
Put A = 100
So,
[tex]-l^2-10l+300=100\\\\-l^2-10l+200=0\\\\l=10,-20[/tex]
So, the linear dimension of the frame is equal to 10 units.
I would if someone could answer this :)
Bradley was passing out fliers to different neighborhoods. There were 20 neighborhoods that he wanted to hit. If each neighborhood had 83 houses, how many fliers would Bradley need?
(PLEASE HELP ME I WILL GIVE BRAINLIEST)
Answer:
1660
Step-by-step explanation:
100° - y А (x+2) units Match the values based on parallelogram ABCD, shown in the figure. length of BC value of y mZDAB value of I 56 4 44 2
Answer:
BC = 4 units
Value fo y = 44
∠DAB = 56°
Value of x = 2
Step-by-step explanation:
100 - y = 12 + y (opposite angles of parallelogram are equal)
2y = 88
y = 44
Similarly,
6-x = x+2 (opposite sides of parallelogram are equal)
2x = 4
x = 2
Can someone please help me?
Answer:
A is the correct answer
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Remember X intercept is when y is equal to zero
So basically f(x-4) is literally equal to y=radical (x-4)
When graphing them you will notice that the x intercept is 4 units lower
What is the surface area of the regular pyramid below?
HELP ASAP PLS 10 points AND BRAINLEST
Answer:
ABC is congruent to EDC because m<3 = m<4 and m<1 = m<5
Step-by-step explanation:
m<3 and m<4 are vertical angles so they are congruent. m<1 and m<5 are alternate interior angles so they are also congruent.
Pls help this is urgent!!!
Answer:
1/2
Step-by-step explanation:
numbers taken = 1 to 40
multiples of 2 are = {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40}
so there are 20 favourable outcomes.
probability = 20/40
=1/2
for multiples of 3
multiples = {3,6,9,12,15,18,21,24,27,30,33,36,39}
there are 13 favourable outcomes
probability = 13/40
since there is no 13/40 the answer should be the probability of multiples of 2 i.e 1/2
Determine whether the source given below has the potential to create a bias in a statistical study. A certain medical organization tends to oppose the use of meat and dairy products in our​ diets, and that organization has received hundreds of thousands of dollars in funding from an animal rights foundation.
A. There does not appear to be a potential to create a bias. The organization would not gain from putting spin on the results.
B. There does appear to be a potential to create a bias. There is an incentive to make the results statistically insignificant.
C. There does appear to be a potential to create a bias. There is an incentive to produce results that are in line with the​organization's creed and that of its funders.
D. There does not appear to be a potential to create a bias. The organization is reputable and has many professional and credible members.
SOMENE PLS PLS HELP IL GIVE OYU A KISS AND A COOKIE FI YOU HHELP E IM BEGGING
Answer:
B
Step-by-step explanation:
SOH CAH TOA
sin theta = opp/hyp
csc theta = hyp/opp
csc theta = 10/8 = 5/4
cos theta = adj/hyp
sec theta = hyp/adj
sec theta = 10/6 = 5/3
Answer: B
The probability distribution for a random variable x is given in the table X: -5,-3,-2,0,2,3 Probability: .17,.13,.33,.16,.11,.10 Find the probability that X <_-3
Answer:
0.3 probability that [tex]x \leq -3[/tex]
Step-by-step explanation:
The probability distribution is given in the table.
Probability that x <= -3
The values that are -3 or lower are -3 and -5. So
[tex]P(X \leq -3) = P(X = -3) + P(X = -5)[/tex]
From the table:
[tex]P(X = -3) = 0.13, P(X = -5) = 0.17[/tex]. So
[tex]P(X \leq -3) = P(X = -3) + P(X = -5) = 0.13 + 0.17 = 0.3[/tex]
0.3 probability that [tex]x \leq -3[/tex]
Answer:0.3
Step-by-step explanation:
Given the inequalities y < 4 x - 6 and y < X - 6 graphed on the same coordinat
grid, which of the following coordinates gives a true statement?
A. (6,-2)
B. (-4,-2)
C. (-6,-2)
D. None of the above
What is the answer plz?
Answer:
[tex]1\frac{9}{12}[/tex]
Step-by-step explanation:
Convert any whole numbers to improper fractions
[tex]\frac{9}{4}-\frac{3}{6}[/tex]
Find the LCM of the denominators and use multiplication to change the denominators to the LCM
[tex]\frac{27}{12}-\frac{6}{12}[/tex]
Subtract
[tex]\frac{21}{12}[/tex]
Simplify
[tex]1\frac{3}{4}[/tex]
[tex]1\frac{9}{12}[/tex] can be simplified to [tex]1\frac{3}{4}[/tex] so the answer is [tex]1\frac{9}{12}[/tex]
From 1929 through the early 1930s, the prices of consumer goods actually decreased. Economists call this phenomenon deflation. The rate of deflation during this period was about 7% per year, meaning that prices decreased by 7% per year. To get a sense of what this rate would mean in the long run, let's suppose that this rate of deflation persisted over a period of 20 years.
What would be the cost after 20 years of an item that costs $100 initially? (Round your answer to the nearest cent.)
$
Answer:
23.42
Step-by-step explanation:
If something is decreasing by 7% we can mulitply it by (1-.07) or .93
so our formula is
100(.93)²⁰= 23.42388737
which rounds to 23.42
Using the exponential decline function ; the cost of the item after 20 years would be $23.42
Recall :
[tex] y = A(1 - r)^{t} [/tex] y = final amount A = initial price = $100Rate, r = 7% = 0.07Time, t = 20yearsSubstitute the values into the equation :
[tex] y = 100(1 - 0.07)^{20} [/tex]
[tex] y = 100(0.93)^{20} [/tex]
[tex] y = 100(0.23423887366)[/tex]
y = $23.42
Therefore, the cost of the item after 20 years is $23.42
Learn more : https://brainly.com/question/8317316
3x-6y-2z=-17
−6x+4y+5z=13
−3x−4y−3z=22
Answer:
1) x = -17 +6y + 2z/3
2) x= -13 - 4y - 5z/6
3) x= -22 +4y + 3z/3
Step-by-step explanation:
1) 3x-6y-2z=-17
3x- 6y -2z- (-6y -2z)= - 17 - ( 6y -2z )
3x=-17+6y+2z
3x/3= -17/3 +6y/3 + 2z/3
x = -17 +6y + 2z/3
2) −6x+4y+5z=13
-6x+4y+5z- ( 4y + 5z )= 13 - ( 4y + 5z )
-6x=13-4y-5z
-6x/-6= 13/-6 - 4y/-6 - 5z/-6
x= -13 - 4y - 5z/6
3) −3x−4y−3z=22
-3x=22+4y+3z
-3x/-3 = 22/-3 + 4y/-3 +3z/-3
x= -22 +4y + 3z/3
Suponga que las calificaciones para el IQ (coeficiente de inteligencia) de una población adulta sigue una distribución aproximadamente normal, con una desviación estándar de 15 . Una muestra aleatoria de 25 adultos procedentes de esa población tiene un IQ medio de 105. Con base en estos datos, ¿es posible concluir que el IQ medio para la población es menor de 100? Utilice un nivel de significación de 0.01
Answer:
El p-value de lo teste es de 0.0475 > 0.01, o que implica que con base en estos datos, no es posible concluir que el IQ medio para la población es menor de 100.
Step-by-step explanation:
Teste que IQ medio para la población es menor de 100
En la hipótese nula, lo teste es se el IQ medio eres de al menos 100, o sea:
[tex]H_0: \mu \geq 100[/tex]
En la hipótese alternative, lo teste es se el IQ medio es menor de 100, o sea:
[tex]H_1: \mu < 100[/tex]
La estatistica de teste es:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
En que X es el promedio de la muestra, [tex]\mu[/tex] es lo valor testado en la hipótese nula, [tex]\sigma[/tex] es la desviacion estandar y n es lo tamaño de la muestra.
100 testado en la hipótese nula:
Entonces [tex]\mu = 100[/tex]
Desviácion esstándar de 15: Una muestra aleatoria de 25 adultos procedentes de esa población tiene un IQ medio de 105.
Esto significa que [tex]\sigma = 15, n = 25, X = 105[/tex]
Estatisitica de teste:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{105 - 100}{\frac{15}{\sqrt{25}}}[/tex]
[tex]z = 1.67[/tex]
P-value de lo teste e decisión:
El p-value de lo teste es la probabilidad de encontrar una amostra com média abajo de 105, que es 1 subtraído por el p-value de z = 1.67.
En la tabla-z, z = 1.67 tiene un p-value de 0.9525.
1 - 0.9525 = 0.0475
El p-value de lo teste es de 0.0475 > 0.01, o que implica que con base en estos datos, no es posible concluir que el IQ medio para la población es menor de 100.
Write a recursive formula for the following sequence:10, 5, 0, -5,... *
Answer:
decrease by 5
Step-by-step explanation:
n= 10
then in sequence,
n= n-5
Which of the following is true regarding the sequence graphed below?
an
35
30
25
• (5, 25)
20
15-
• (4. 16)
10 -
• (3,9)
5
• (2, 4)
1 2 3
4
5 6
7 8
9
n
The sequence is arithmetic because the terms have a common difference.
O The sequence is arithmetic because the terms do not have a common difference
Answer:
I think the answer is the sequence is arithmetic because the term have a common difference
The correct option is The sequence is not arithmetic because the terms do not have a common difference.
What is an arithmetic sequence?An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.
This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k called the common difference.
Given is graph, we need to conclude the true about the graph,
Finding the common difference,
4-1 = 3
9-4 = 5
16-9 = 7
25-16 = 9
Clearly from the set of values that are given in the graph we could observe that the function that is formed using these set of values is:
y=f(n)=n² where n=1,2,3,4,5,.....
That mean, the following sequence is not an arithmetic sequence as the common difference is different.
Hence, the correct option is The sequence is not arithmetic because the terms do not have a common difference.
Learn more about arithmetic sequence click;
https://brainly.com/question/15412619
#SPJ7
Please help meee! I'll make you brainliest or anything you want I swear! I'm desperate
Your neighbor is putting in a small square deck with side length x+4, as pictured below, where x is measured in feet. (x + 4) (x + 4) Part A Write a polymonial in standard form that represents the area of the deck Part B. Write an expression for the cost of the lumber for the top of the deck if the lumber costs $5 per square foot. Part C. If x = 3 feet what will be the cost of lumber for the top of the deck?
Please help meee! I'll make you brainliest or anything you want I swear! I'm desperate