Answer:
The answer is
[tex] \huge \boxed{ \frac{1}{2} }[/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(9,7) and (5,5)
The slope is
[tex]m = \frac{5 - 7}{5 - 9} = \frac{ - 2}{ - 4} = \frac{2}{4} = \frac{1}{2} \\ [/tex]
We have the final answer as
[tex] \frac{1}{2} \\ [/tex]
Hope this helps you
What is the slope of the line through (-3, 3) and (-1, -1)?
Answer:
[tex]m=-2[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{-1-3}{-1-(-3)}[/tex]
[tex]m=\frac{-4}{-1+3}[/tex]
[tex]m=\frac{-4}{2}[/tex]
[tex]m=-2[/tex]
In how many ways can we write a number using the digits (0,2,3,5) and the number is greater than 100
This is a multiplicative principle's question. Let's think how we can solve that.
If we want numbers are greater than 1000, so we need numbers with 4 digit (for example: 1001, 2350 and so on).
Imagine that we need to complete four spaces: one thousands, hundreds, tens and ones. See below how to compelete each space:
One thousands: In this space, we can't use the number 0, because in this way, the number will have 3 digits and we want number with 4 digits (for example: 0235 is a 3 digits number). Therefore, we can use the numbers 2, 3 and 5 to complete this space. So, there are 3 possibilities.Hundreds: Now, we can use the number 0 and the number won't have 3 digits (for example: 2035 is a 4 digits number). Therefore, we can use the numbers 0, 2, 3 and 5 to complete this space. So, there are 4 possibililities.Tens: Ih this case, it happens the same thing that happen in the case of hundreds. Therefore, there are 4 possibilites.Ones: Finally, in this case it also happens the same thing that happen in the case os hundreds. So, there are 4 possibilites.For multiplicative principle, we just need multiply these numbers of possibilities to find the result of this question:
[tex]3\times4\times4\times4=192[/tex]
Therefore, we can write 192 numbers using the digits (0, 2, 3 and 5) and all these numbers are greater than 1000.
what is the measure of B, in degrees?
Answer:
D, 32 degrees
Step-by-step explanation:
Which of the following most clearly defines an undefined geometric object? (Click picture).
Answer:
A is the correct answer
devaughn’s age is three times Sydney’s age. The sum of their age is 100. What is Sidney’s age?
Answer:
the answer is 300
Step-by-step explanation:
I'm 95% sure
Find the midpoint between each pair of points. (-1, -5) and (-5, 9)
Answer:
[tex](-3,2 )[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
Simply plug in your coordinates into the midpoint formula to find midpoint:
[tex](\frac{-1-5}{2},\frac{-5+9}{2} )[/tex]
[tex](\frac{-6}{2},\frac{4}{2} )[/tex]
[tex](-3,2 )[/tex]
A square has area of 9 yd squared. What is the length of both sides?
Answer:
Each side is 3 yds
Step-by-step explanation:
The area of a square is given by
A = s^2
9 = s^2
Take the square root of each side
sqrt(9) = sqrt(s^2)
3 = s
Each side is 3 yds
Minnesota had the highest turnout rate of any state for the 2012 Presidential election (United States Election Project website, February 9, 2013). Political analysts wonder if turnout in rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that 663 of 884 registered voters from rural Minnesota voted in the 2012 Presidential election, while 414 out of 575 registered voters from urban Minnesota voted.A. Formulate the null and alternative hypotheses that can be used to test whether registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2012 Presidential election.1. H0: prural purban2. Ha: prural purbanB. What is the proportion of sampled registered voters in rural Minnesota that voted in the 2012 Presidential election?C. What is the proportion of sampled registered voters in urban Minnesota that voted in the 2012 Presidential election?D. At = .05, test the hypothesis. What is the p-value, and what conclusion do you to draw from your results?
Answer:
Explained below.
Step-by-step explanation:
In this case we need to determine whether registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2012 Presidential election.
(A)
The hypothesis can be defined as follows:
H₀: The registered voters in rural Minnesota were not more likely than registered voters in urban Minnesota to vote in the 2012 Presidential election, i.e. [tex]p_{rural} - p_{urban}\leq 0[/tex].
Hₐ: The registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2012 Presidential election, i.e. [tex]p_{rural} - p_{urban}> 0[/tex].
(B)
Compute the proportion of sampled registered voters in rural Minnesota that voted in the 2012 Presidential election as follows:
[tex]\hat p_{rural}=\frac{663}{884}=0.75[/tex]
(C)
Compute the proportion of sampled registered voters in urban Minnesota that voted in the 2012 Presidential election as follows:
[tex]\hat p_{urban}=\frac{414}{575}=0.72[/tex]
(D)
Compute the total proportion as follows:
[tex]\hat p=\frac{663+474}{884+575}=0.74[/tex]
Compute the test statistic value as follows:
[tex]Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p(1-\hat p)\times [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]
[tex]=\frac{0.75-0.72}{\sqrt{0.74(1-0.74)\times [\frac{1}{884}+\frac{1}{575}]}}\\\\=1.28[/tex]
The test statistic value is 1.28.
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
Compute the p-value as follows:
[tex]p-value=P(Z>1.28)=1-P(Z<1.28)=1-0.89973=0.10027[/tex]
The p-value of the test is quite large. The null hypothesis will be rejected at 0.05 significance level.
Thus, there enough evidence suggesting that the registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2012 Presidential election.
Help meeeeeee plesssss
please help with these! or at least some of them.
Answer:
1) 9/2 = 5/45) False6) $667) x=78) x=69Step-by-step explanation:
Please help me!!! I will make you brainiest!!! How does the graph of y=2x+4 compare to the graph of y=x+4
Answer:
ALGUIEN PARA COJER?
TENGO 20 PERRO
Answer:
c
Step-by-step explanation:
Marcus invested $2000 in a bank account earning simple interest. The interest, I, he has after t years at an interest rate r is given by this equation.
l = 2000 rt
After 2 years, the total amount in the account was $2160. What was the annual interest rate?
Answer:
4%Step-by-step explanation:
GivenThe equation for simple interest:
I = 2000rtAnd values
Total = $2160t = 2r = ?SolutionInterest amount is
$2160 - $2000 = $160Solving for annual interest rate
160 = 2000*2r160 = 4000rr = 160/4000r = 0.04 0.04*100% = 4%Annual interest rate is 4%
Given that ,
I = 2000rtannual interest rate after 2yrs .
total = $ 2160t = 2yrs R = ?Now,
interest amount is
$2160-$2000 = $160Now,
annual interest rate is ;
160 = 2000 × 2r 160 = 4000r r = 160/4000 r = 0.04 r = 0.04×100% = 4% the annual rate of interest is 4%Help please!!!!!!!!!!
Answer:
the answer is the third one
5(x+5)-25=6(2-x)
can someone help me with this sum please including how you worked it out
Answer:
The answer is 12/11
Step-by-step explanation:
5x+25-25=12-6x
5x=12-6x
11x=12
x=12/11
What is the meaning of this notation, f^-1(x)?
Answer:
Notation. The inverse of the function f is denoted by f -1 (if your browser doesn't support superscripts, that is looks like f with an exponent of -1) and is pronounced "f inverse". ... The inverse of a function does not mean the reciprocal of a function.
Step-by-step explanation:
I hope this helps you!
Find the value of x in the equation below.
17 = 14 +2
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
17 = 14 + x
x = 17 - 14
x = 3
Dacă aș avea 4 ouă Un hoț îmi dă 3 ouă Cocoșul meu de fermă depune 5 ouăCâte ouă am?
Answer:
Step-by-step explanation:
3 oua
Daca as avea 4 oua - e presupunere. Nu am.
Un hot imi da 3
Cocosul nu face oua
0+3+0=3
At an educational institution, the cost of room and board includes
Answer:
what are you trying to ask
Step-by-step explanation:
Answer:
A: housing and meal
Step-by-step explanation:
Edg 2021
took the test
I’m being timed can I get these answers‼️
Answer:
1.) variable
2.)26
Step-by-step explanation:
I don't have time to explain deeply sorry.
1. I just know it lol
2. just substitute in it.
What is the sum or differece
-12 1/2 + 4 1/2
Answer:
-8
Step-by-step explanation:
Someone Please help me with this with Step by Step explanation.
there you go i think thats it
The table shows the number of different types of birds that are swimming at a lake. Bird Number Seagulls 8 Ducks 9 Geese 7 Swans 1 What is the ratio of ducks to geese?
Answer:
9 to 7
Step-by-step explanation:
Answer:
9:7
Step-by-step explanation:
As proven by Khan academy :)
The fact that i'm so late lol
what is the quolotient of the division below
96÷3
answers: 13 23 31 42
Answer: The answer would be 32
Step-by-step explanation: 96 divided by 3 is 32
WhY DiD ThE LiTlE PiG Go AlL ThE WaY HOmE
Choose the equation that represents the line passing through the point (2. - 5) with a slope of -3.
Y= -3x - 13
y=-3x + 11
y=-3x + 13
Y=-3x + 1
Answer:
Step-by-step explanation:
y + 5 = -3(x - 2)
y + 5 = -3x + 6
y = -3x + 1
Option 4 is the answer
Answer:
Your answer is D!
Step-by-step explanation:
Y=-3x + 1
If a dozen eggs costs $2.50, how much does 1 egg cost?
Answer:
The cheapest eggs you'll find can cost as little as 59 cents.
Step-by-step explanation:
Hope that helped :)
Another one pleasd help. Paula charges an hourly rate for babysitting. Last month she worked 12 hours babysitting and earned $81. What does Paula earn per hour?
Answer:
She charges $6.75 per hour
Step-by-step explanation:
If she charges an hourly rate, the number of hours should be multiplied by the hourly rate to get the total amount of money earned.
Variable x = hourly rate
The equation should be set up as:
12x = 81
This equation says 12 hours times the hourly rate equals $81
How we solve is by isolating the variable
To isolate the variable, we divide both sides by 12
12x ÷ 12 = 81 ÷ 12
1x = 6.75
x = 6.75
Her hourly rate is $6.75
Saved
Find all solutions of 5−4 secx = −3 on the interval [0, 2π).
Answer:
[tex]\theta=\dfrac{\pi }{3}\\\\\theta=\dfrac{5\pi }{3}[/tex]
Step-by-step explanation:
[tex]\theta = x[/tex]
[tex]5-4 \sec (\theta) = -3[/tex]
[tex]-4 \sec (\theta) = -3-5[/tex]
[tex]-4 \sec (\theta) = -8[/tex]
[tex]\dfrac{-4 \sec (\theta)}{-4} =\dfrac{-8}{-4}[/tex]
[tex]\sec (\theta)=2[/tex]
Once
[tex]\sec(\theta)=\dfrac{1}{\cos(\theta)}[/tex]
[tex]\sec (\theta)=2 \implies \dfrac{1}{\cos(\theta)}=2 \implies \cos(\theta)=\dfrac{1}{2}[/tex]
The solutions for [tex]\cos(\theta)=\dfrac{1}{2}[/tex] are
[tex]\theta=\dfrac{\pi }{3}+2\pi n, n \in \mathbb{Z}\\\\\theta=\dfrac{5\pi }{3}+2\pi n, n \in \mathbb{Z}[/tex]
But once the interval for the solution was given,
For [tex][0, 2\pi)[/tex]
[tex]\theta=\dfrac{\pi }{3}\\\\\theta=\dfrac{5\pi }{3}[/tex]
Q1) What is the midpoint of A(1,4) and B(5,6)?
Answer:
(3,5)
Step-by-step explanation:
One blue whale weighed
4.2 x 105 pounds while another
weighed 2.6 x 105. Find the difference in weight and express your answer in scientific notation
2.4 x 10
1.6 x 10
1.6 x 10°
1.6 × 10⁵
To find the answer we first need to find the value of 4.2 × 10⁵ and 2.6 × 10⁵. We know that 10⁵ = 100000. Now we multiply 4.2 and 2.6 by 100000 which makes them 420000 and 260000. Now we find the difference= 420000 - 260000 = 160000. Now to put it in to scientific notation, we just divide it by 100000 so, 160000 ÷ 100000 = 1.6 × 10⁵ ( always remember to keep 10⁵ in your answer not 100000).