Answer:
[tex]\text{B. } (8,6)[/tex]
Step-by-step explanation:
In slope-intercept form [tex]y=mx+b[/tex]:
[tex]m[/tex] represents slope[tex]b[/tex] represents the y-intercept [tex](x,y)[/tex] represent the coordinates of any point the line passes throughIn slope-intercept form, the equation for the table is given by [tex]y=x-2[/tex], and the equation for the second line is given by [tex]y=\frac{1}{4}x+4[/tex].
To find the point of intersection, set those two equations equal to each other and solve:
[tex]x-2=\frac{1}{4}x+4,\\x-2=0.25x+4,\\0.75x=6,\\x=8[/tex]
[tex]y=x-2,\\y=8-2,\\y=6[/tex]
Therefore, these two lines intersect [tex]\boxed{\text{B. (8,6)}}[/tex]
A poll is given, showing 60% are in favor of a new building project.
If 7 people are chosen at random, what is the probability that exactly 5 of them favor the new building project?
Round this value however you need to.
==================================================
Explanation:
n = 7 = sample sizep = 0.60 = probability of someone being in favork = 5 = number of people in favorWe use the binomial distribution here. The formula for that is
P(k) = (n C k)*(p)^k*(1-p)^(n-k)
where the n C k refers to the nCr combination formula
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
simply replace r with k.
------------------------------
So,
P(k) = (n C k)*(p)^k*(1-p)^(n-k)
P(5) = (7 C 5)*(0.6)^5*(1-0.6)^(7-5)
P(5) = 21*(0.6)^5*(0.4)^(2)
P(5) = 21*0.07776*0.16
P(5) = 0.2612736
This decimal value is exact (meaning there aren't any other digits after that last '6'). Round this value however you need to.
There's roughly a 26.1% chance of getting exactly 5 people to be in favor of the project.
2b(to the power of 2)= 2.83
Step-by-step explanation:
2b²=2.83
b²=1.415
b=1.18953
Don’t save the answer and I really need help
9514 1404 393
Answer:
zero solutions
Step-by-step explanation:
The first inequality has a boundary line with a slope of 3 and a y-intercept of 9. Shading is above the boundary line.
The second inequality has a parallel boundary line with a slope of 3 and a y-intercept somewhat lower, at -1. Shading is below this boundary line.
There is a gap between the shaded areas, so no points will be solutions to both inequalities.
Without graphing, determine the range of the function f(x) = -5|x-7|+2 over
the interval (-5,10).
A. [2 -62
B. [2, 17]
C. (17, 62]
D. (-7, 2]
A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the second row, 23 in thethird row. How many seats are there in total? Show explain all work.
Answer:
There are 54 in total because if you add them all it gets you 54
the sum of 10 and the product of 12 and s in agebraic expression
Answer and Step-by-step explanation:
10 + 12s would be the algebraic expression.
Because 10 is being added to the product of 12 and s, meaning 12 and s multiply each other.
#teamtrees #PAW (Plant And Water)
Brainliest, 10 Points, & Thanks if answer to these questions!!!!!!!!
Answer:
D
Step-by-step explanation:
+1 and -1 change the x postion
A cylindrical container has a diameter of 14 cm and a height of 10 cm, as
shown in the diagram. What is the volume of this container to the nearest
tenth of a cubic centimeter?*
14cm
10cm
1539.4
6157.5
490.0
219.9
Answer:
1539.4
Step-by-step explanation:
Steps:
Volume of a cylinder= πr²h
radius= diameter/2
= 14/2
= 7 cm
Volume= π x 7² x 10
= 1539.38
= 1539.4 cm³
Answer:
1539.4
Step-by-step explanation:
to find the area of a cylinder, you solve pi x radius²
3.14 x 7² = 153.94
then you multiply times the height
153.94 x 10 = 1549.4
please help me i’m begging!!
i need to match them
An angle of depression is measured from the horizon downwards and an angle of elevation is measured from the horizon upwards.
When solving for the sides or angles of a right triangle you can use trigonometry. The sine of an angle is found by the ratio of the opposite side and the hypotenuse. The cosine of an angle is found by the ratio of the adjacent side and the hypotenuse. The tangent of an angle is found by the ratio of the opposite side and the adjacent side.
The opposite side is always the leg opposite the angle that you are using. The adjacent side is the leg that forms one of the sides of the angle you are talking about and the hypotenuse is always across from the right angle.
If you know two lengths you can find the third leg length by using the Pythagorean Theorem.
Evaluate the expression 53 ÷ (13 − 8) × 2.
Numerical Answers Expected!
Answer:
21.2
Step-by-step explanation:
BODMAS : First bracket, then Division then multiplication.
[tex]53 \div (13-8) \times 2\\53 \div 5 \times 2\\10.6 \times 2\\21.2[/tex]
Find f(x) and g(x) so that the function can be described as y = f(g(x)).
y=[tex]\frac{9}{x^2} + 2[/tex]
Hope this help!!!
Have a nice day!!!
Dave wants to build a rectangular screened-in porch that is 20 feet long, and it will extend 6 feet out from the backside of his house.
Dave sketches a scale drawing of the porch. Choose a reasonable size and scale for Dave’s drawing of the porch. How should Dave label the dimensions of the model?
Answer:
Scale of the drawing would be 20/12 inch and 0.6 (6/12) inch
Step-by-step explanation:
For most of the residential buildings an scale of 1 inch = 12 feet can be used to draw the residential units.
In that case the scale of the drawing would be 20/12 inch and 0.6 (6/12) inch
Dave should label the dimensions in inches
need help with these table
PLWASE HELP GEOMETRY
A hot-air balloon is tied to the ground with two taut ropes. One rope is directly under the balloon and makes a right
angle with the ground. The other rope forms an angle of 60° with the ground. Which statements are correct?
Using trigonometry solve for h and d.
H :
Sin(60) = h/120
H = 120 x sin(60)
H = 103.9 = 104 feet
D:
Cos(60) = d/120
D = 120 x cos(60)
D = 60 feet
The correct answers:
A. D = 60 ft.
C. H = 104 ft
Are (2, 5) and (5, 2) the same location? Why or why not?
Answer:
They are not in the same location
Step-by-step explanation:
Well because we have x axis and y axis, x always has to go first. In (2, 5) 2 is first and has to start from the x axis and 5 is the y axis. And the (5,2) is the opposite and the places would be in totally different places on the coordinate plane.
Answer: No
Step-by-step explanation: The order of coordinates for a given point is very important. For example, (2, 5) and (5, 2) represent two very different points on a coordinate system, as shown in the picture below.
A given point, such as (2, 5), is often reffered to as
an ordered pair because the order of coordinates is very important.
PLEASE PLEASE HELP!!!!
Find the volume of the triangular pyramid to the nearest whole number
A) 170in³
B) 340in³
C) 680in³
D) 1,020³
Find the value of x.
Answer:
[tex]4/12=x/18[/tex]
[tex]x=4*18/12[/tex]
[tex]x=6[/tex]
--------------------------
hope it helps...
have a great day!!
simplify x^0 y^-3/x^2y^-1
The answer is 1/x^2y^2
The given expression is [tex] \frac{ {x}^{0} y { - }^{3} }{ {x}^{2}y { - }^{1} } [/tex]
We know that any number raised with zero power equals 1. Thus, [tex] {x}^{0} = 1[/tex]
Hence, the expression becomes
[tex] \frac{y { - }^{3} }{ {x}^{2} y { - }^{1} } [/tex]
Now, apply the quotient rule,[tex] \frac{ {x}^{ \alpha } }{ {x}^{b} } = {x}^{ \alpha - b} [/tex]
Using this rule, we have
[tex] \frac{1}{ {x}^{2} y { - }^{1 - ( - 3)} } [/tex]
[tex] = \frac{1}{ {x}^{2} y { - }^{1 + 3} } [/tex]
[tex]= \frac{1}{ {x}^{2} {y}^{2} } [/tex]Hence, the simplified expression is [tex] \frac{1}{ {x}^{2} {y}^{2} } [/tex]
A car that is normally $4200 is on sale for 80% of its original cost.
what is the sale price of the car?
Answer:
$3360
Step-by-step explanation:
4200(.80) = 3360
anything less than 1.00 will be a decreasing amount, so i just took the 80% and put it as a decimal and multiplied to find the current cost of the car
What’s the distance ?
Answer:
[tex]3[/tex]
Step-by-step explanation:
This problem asks one to find the length of the given line. Another way to think about this problem is to believe that the problem asks one to find the distance from one point to another. The endpoints on this line are the following,
[tex](4,2), (5, 5)[/tex]
The formula to find the distance between two points on a 2-dimensional coordinate plane is as follows,
[tex]D=\sqrt{(x_1-x_2)^2*(y_1-y_2)^2}[/tex]
Substitute the endpoints of the line into the formula and solve for the distance between the points,
[tex]D=\sqrt{(4-5)^2*(2-5)^2}[/tex]
Simplify, solve for the distance between the two points,
[tex]D=\sqrt{(4-5)^2*(2-5)^2}[/tex]
[tex]D=\sqrt{(-1)^2*(-3)^2}\\\\D=\sqrt{1*9}\\\\D=\sqrt{9}\\\\D=3[/tex]
Select the correct answer.
What is the approximate value of the correlation coefficient for the given graph
Answer:
x = -5
Step-by-step explanation:
the answer is -5 sussy baka
This is because all points are on, or nearly on, the same straight line that has a negative slope. We consider this close to or nearly perfect negative linear correlation.
Side note: The r value and slope are both negative, but they aren't equal to one another.
What is the area of this???
Can y’all help me on question 24?!
Answer:
C
Step-by-step explanation:
:) glad I could help! Give Brainiest answer if you can! It doesn't cost you and it would make my day! :D
Answer:
b
helpful answer to your question
What is a polygon?
a. A closed plane figure made up of line segments
b. An open plane figure made up of line segments
c. A closed plane figure made up of rays
d. An open plane figure made up of rays
Answer:
A. A closed plane figure made up of line segments
Step-by-step explanation:
Answer:
A closed plane figure made up of line segments
In circle K, How would i solve this?
Hope this help!!!
Have a nice day!!!
Hi! Could someone check this questions for me and if I have anything wrong tell what I have wrong please? That would be highly appreciated!!
Answer:
Both are correct
I'm only checking the first page
Step-by-step explanation:
Answer:
Step-by-step explanation:
The 3rd page both are wrong the correct answers are 6 degrees C and Ice would form on the top of the lake like it does now.
The 4th page the bottom one is wrong the correct answer is -22.
Need help with this equation if anyone can respond
Answer:
120 yards is the answer to the equation
Mary plants roseas in 1/4 of her garden. She also plants some tulips in her garden. She has 1/12 of the garden left to plant more flowers. What fraction of Mary's garden has tulips?
Let x represent the full area if Mary's garden.
Mary plants roses in 1/4 of her garden. This means that the portion of the garden on which she planted roses would be 1/4 × x = x/4
She also plants some tulips in her garden. She has 1/12 of the garden left to plant more flowers. This means that the portion if the garden that she has left to plant more flowers would be 1/12 × x = x/12
The portion of the garden on which she planted tulips would be
x - (x/4 + x/12) = x - (3x + x)/12 = x - 4x/12
x - x/3 = (3x - x)/3 = 2x/3
Therefore, the fraction of Mary's garden that has tulips would be
(2x/3) /x = 2/3
I need help with this
Answer:
Step-by-step explanation:
It was confusing
Find the value of x
Answer:
x = 40
Step-by-step explanation:
Two triangles are similar so we can use similarity ratio to find x
x/16 = 35/14 cross multiply expressions
14x = 560 divide both sides by 14
x = 40