Answer:
Step-by-step explanation:
When you know the slope m of a line and a point (x₀,y₀) on the line, you can write an equation for the line in "point-slope" form:
y-y₀ = m(x-x₀)
In your case,
y+2 = -3(x-6)
The line is easier to graph if you rearrange the equation to solve for y:
y = -3x+16
You know that (0,16) is one of the points on the line.
Plot the two points that you know, (6,-2) and (0,16), then draw a line through them.
4. Which of the following numbers is not a solution of the inequality 3x – 5 > 4x – 3?
a. -1
b. -2
c. -3
d. -5
Options c and d are correct.
What is inequality?A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
What is solution for inequality?A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement.
According to the given question
We have an inequality
3x - 5 > 4x - 3
⇒ 3x - 4x > -3 + 5
⇒ -x > 2
⇒ x < -2
Hence, those numbers which are less than -2 will be the the solutions of the given inequality 3x - 5 > 4x - 3. Therefore options c and d are correct.
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A recent study was conducted in which a random sample of men and a random sample of women were surveyed about whether they were fans of a professional football team. The study found that 39 percent of men in the sample were fans and 22 percent of women in the sample were fans. A 99 percent confidence interval for the difference in the proportion of fans of a professional football team between men and women was reported as (0.133,0.207) . Which of the following statements is the best interpretation of the interval?
a. The difference in the percents of fans of a professional football team between men and women is 17%.
b. There is a 99% chance of finding a difference between 13.3% and 20.7% for the percents of men and women who are fans of a professional football team.
c. We are 99% confident that the percent of men who are fans of a professional football team exceeds that of women by at least 20.7%.
d. We are 99% confident that the difference in the sample percents of men and women who are fans of a professional football team is between 13.3% and 20.7%.
e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.
Answer:
e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
99% confidence interval for the difference in the proportion of fans of a professional football team between men and women is of (0.133, 0.207)
The interpretation is that we are 99% sure that the true proportion is in this interval for the entire population, so the correct answer is given by option e.
What value of x would make AABC an isosceles triangle?
А
C с
2x + 4
3x - 8
Step-by-step explanation:
step 1. 2x + 4 = 3x - 8
step 2. x = 12.
Which measurements are for a rectangle with an area of 16 square units?
4 units wide, 2 units long
2 units wide, 6 units long
4 units wide, 3 units long
2 units wide, 8 units long
Answer:
2 Units wide , 6 units long
Write and solve the inequality.
Nine less than the product of a number n and is no more than 95.
Fill in the boxes,
box 1: 1/4
first arrow: - (less than)
second arrow: < (less than or equal to if that's an option, that means there would be a line underneath <)
box 2: 1/4
third arrow: same as second arrow
last arrow: =
box 3: 104 ÷ 1/4 = 416
message if you dont understand
hope this helped
The inequality shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
The inequality that represents the given statement is
(1/4)n ≤ 95 + 9
The number n is n ≤ 416.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Nine less than the product of a number n and 1/4 is no more than 95.
Let the number be n.
Now,
No more than means,
We have less than, greater than, and equal to.
We can use less than and equal to.
The inequality can be written as,
1/4 x n - 9 ≤ 95
(1/4)n - 9 ≤ 95
Add 9 on both sides.
(1/4)n ≤ 95 + 9
(1/4)n ≤ 104
Multiply 4 on both sides.
n ≤ 416
Thus,
The inequality that represents the given statement is
(1/4)n ≤ 95 + 9
The number n is n ≤ 416.
Learn more about inequalities here:
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The base of a triangle is four times its height. If the area of the triangle is 242 square millimeters , find its base and height.
area= 1/2 b*h
242=1/2 4h*h=2h^2
h^2=121
h=11
b=4h=44
For the given central angle, determine the distance traveled along the unit circle from the point (1, 0).
218 degrees
a.
1.21 units clockwise
c.
7.61 units
b.
3.80 units
d.
1.90 units
Answer:
Step-by-step explanation:
radius of unit circle = 1
θ = 218° × π/180° = 109π/90 radians
arc length = rθ = 109π/90 ≅ 3.80 units
Is parallelogram VWXY a rhombus?
Answer:
it is a a rhombus......... parallelogram is also called as a rhombus....
Write an equation in slope-intercept form of a line that has a slope of -2/3 and a y-intercept of 6.
respondo por qué el juego me lo diste 2+24
Answer:
y = -2/3x + 6Step-by-step explanation:
Equation in slope-intercept form:
y = mx + bSubstitute values:
y = -2/3x + 6In the somewhat less than towering ski slopes of northeastern Iowa new skiers come to learn to ski. On Big Bunny Slope skiers will fail to make the turn at Big Bend. On Little Bunny Slope, skiers will sometimes tumble at Little Hill. The ski instructors send the new skiers down the two slopes in groups of 30, wait a few moments, and then send the Ski Patrol Ambulance down after them, stopping at Big Bend and then Little Hill. The skiers descend the slopes far enough apart that they don't run into each other, so their spills are all independent.
Required:
a. The probability that a random new skier in the group will need to be carried to the First Aid Station after a spill at Big Bend is 0.35. If we define the random variable B = number of new skiers needing to be driven to the First Aid Station from Big
Bend, we can model this situation as a binomial chance experiment. What is the mean and standard deviation of B?
b. The probability that a random new skier in the group will need to be carried to the First Aid Station after a spill at Little Hill is 0.15. If we define the random variable L = number of new skiers needing to be driven to the First Aid Station from Little Hill, what is the mean and standard deviation of L?
Answer:
A. Mean = 10.5, standard deviation = 2.61247
B. Mean = 4.5, stand deviation = 1.955761
Step-by-step explanation:
Number in a group = 30
So n= 30
A.
It follows the binomial distribution
n = 30, probability p = 0.35
The mean = n*p
= 30x0.35
= 10.5
The standard deviation = √np(1-p)
= √10.5(1-0.35)
= √10.5(0.65)
= √6.825
= 2.61247
B. Probability of a new skier carried = 0.15
n = 30
Mean = n*p
= 30x0.15
= 4.5
The standard deviation = √np(1-p)
= √4.5(1-0.15)
= √4.5(0.85)
= √3.825
= 1.955761
An adult and 5 children rent skates. It costs $4 per adult for skates and a total of
$16.
What is the equation?
Answer:
$24
Step-by-step explanation:
(1+5) x 4 = 24 dollars
Solve this systems of equations.
Will mark brainlest!
{4y + 7x =6}
{4y + 7x = -5}
Answer:
No solution
Step-by-step explanation:
The coefficient of x and y in both the equations are the same
That represents that both the lines are parallel
Hence no intersection is possible
this means that there is no solution possible
Juan ha comprado una camisa y un pantalón. Los precios de estas prendas sumaban 60 €, pero le han hecho un 10 % de descuento en la camisa y un 20 % en el pantalón, y paga por todo 50,15 €. Cual era el precio sin rebajar de cada prenda?
Answer:
62
Step-by-step explanation:
Answer:
La respuesta es 21.50 la camisa
38.50 el pantalon
21.50 X .10 = 2.15
38.50 X .20 = 7.70 la suma de los dos da 9.85
60 - 50.15 = 9.85
21+38.50 = 60
Is ABC= DEF? If so, name the congruence postulate that applies.
Answer:
B)
Step-by-step explanation:
a p ec
Ples help i will give you the best
ITS 10 POINTS
Can u tell me how to slove
Answer:
1024.
Step-by-step explanation:
4^5=4x4x4x4x4=1024.
For which intervals the graphs of the functions f(x) = x^3 + x^2 - 4x - 4 is positive
Step-by-step explanation:
Consider a function
f
(
x
)
which is twice differentiable. The graph of such a function will be concave upwards in the intervals where the second derivative is positive and the graph will be concave downwards in the intervals where the second derivative is negative. To find these intervals we need to find the inflection points i.e. the x-values where the second derivative is 0.
Please please give answer for this question
Which of these are prime numbers? Circle all that apply.
5 7 12 8 11 2 20 45
Answer:
2, 5, 7, 11
Step-by-step explanation:
What is the y intercept of the line 5x-2y=10
Answer:
Step-by-step explanation:
The y intercept occurs when x=0.
5(0)-2y=10
-2y=10
y=-5 or the point (0,-5)
Jerry has a jar with 273 marbles in it. The jar can hold 1,000 marbles in all
which equation can be used to find m, the number of marbles still needed to fill
the jar
273
1,000
1,000
1,000 1 273 m
1.000
Done >
Answer:
I would say that the answer is 1000=273+m
36 - 40. In order to save for her high school graduation, Marie decided to save P200 pesos at the end of each month. If the
bank pays 0.250% compounded monthly, how much will her money be at the end of years?
Answer:
200.4 at 0.25%
Step-by-step explanation:
Given data
P= P200
r= 0.25%
t= 1 year
n= 12
A= P(1+ r/n)^nt
substitute
A= 200(1+ 0.0025/12)^12*1
A= 200(1+ 0.00020833333)^12
A= 200(1.0002)^12
A= 200* 1.002
A= 200.4
Hence the amount is 200.4 at 0.25%
WILL MARK BRAINLYIST
¿cuantos pedasos de 1/8 de metro se pueden cortar de 4metros?
Answer:
32 pedasos
Step-by-step explanation:
Cantidad de trozos = Metros totales de cable / Cantidad de metros de cada trozo
What is (2, 4) and (5, −2) in point-slope formula to slope-intercept form
Answer:
Here ig
Step-by-step explanation:
You are considering purchasing either a medium or a large pizza.
Medium Pizza
12-inch diameter
Large Pizza
14-inch diameter
How much greater, in square inches, is the area of the large pizza than the
medium pizza? Select the best answer below.
alternate exterior angles theorem
vertical angles theorem
corresponding angles postulate
same side interior angles theorem
alternate interior angles theorem
are all the second awsner which one is it
i need this awnser
117°
same side interior angles theorem
Processes
8. &Practices Model Math Today 25 girls and 20 boys rode their
bikes to school. Each bike rack at school holds 5 bikes. How many
bike racks were filled?
Answer:
9 bike racks
Step-by-step explanation:
25 girls. 20 Boys
20+25=45
Each bike rack hold 5 bikes
45÷5= 9
Which numbers make a true statement when placed in the box?
11.436 > 0
Select each correct answer.
11.422
11.484
11.621
11.286
o
Please help
242m/min express this in km/h
Answer:
14.52 km/h
Step-by-step explanation:
Please see the picture attached.
I hope this helps!
how is 3 x 3/6 the same as 9 x 1/6
Answer:
3/1 times 3/6 = 9/6
9/1 times 1/6 = 9/6
Step-by-step explanation: