Answer: [tex]\dfrac{5}{324}[/tex]
Step-by-step explanation:
Given
Probability that car has a standard transmission is [tex]\frac{1}{6}[/tex]
So, the probability that the car does not have transmission is
[tex]1-\dfrac{1}{6}=\dfrac{5}{6}[/tex]
Probability of that 3 out of 4 randomly selected cars have standard transmissions is given by selecting 3 cars with standard deviation and then multiply by their respective probabilities
[tex]\Rightarrow P=^4C_3\cdot \left(\dfrac{1}{6}\right)^3\cdot \left(\dfrac{5}{6}\right)\\\\\Rightarrow P=4\times\dfrac{5}{6^4}\\\\\Rightarrow P=\dfrac{20}{1296}\\\\\Rightarrow P=\dfrac{5}{324}[/tex]
Find the area of the regular nonagon
Answer:
267.3
Step-by-step explanation:
area of a regular polygon =
(perimeter * apothem)/2
perimeter: 9 * 6.6 = 59.4
area: 59.4 * 9 = 534.6
534.6/2 = 267.3
area = 267.3
Which of the following phrases describes the expression 12−2x?
A
2 times a number decreased by 12
B
2 decreased by 12 times a number
C
a number times the quantity 12 decreased by 2
D
12 decreased by 2 times a number
Answer:
D
Step-by-step explanation:
it's self explanatory
12 is being decreased by 2x (x is a variable for a number)
I need help! would appreciate it
Answer:
X is about 58.41 degrees
Step-by-step explanation:
For this problem, lets use sine, since we have the opposite angle from x and we have the hypotenuse.
Therefore, with the equation for sine, we would get
sin(x) = 23/27
sin(x) = 0.851
Now, since we're solving for an angle, inverse it by adding a -1 to move over the sin.
x = sin-1 23/27
Last, use a calculator to get the answer.
X is about 58.41 degrees
PLEASE HELP! I HAVE MY STAAR TEST TOMORROW!!!!
Answer:
152
Step-by-step explanation:
blue -- 8 x 2 = 16 x 2 = 32
green -- 8 x 6 = 48 x 2 = 96
red -- 6 x 2 = 12 x 2 = 24
96 + 24 + 32 = 152
Solve the system using
the elimination method.
(3x + 4y = 6
<
(2x + 3y = 3
Answer:
[tex]3x + 4y = 6 - - - (a) \\ 2x + 3y = 3 - - - (b) \\ 2 \times (a) - 3 \times (b) : \\ = > 0x - y = 3 \\ y = - 3 \\ 2x - 9 = 3 \\ 2x = 12 \\ x = 6 \\ { \boxed{x = 6}} \\ { \boxed{y = - 3}}[/tex]
2x + 9/3x + 16
X =
= [?]
14
4(x + 6)
+
2(3x – 5) =
A) 4x + 14
B) 10x + 34
C) 10x + 14
D) 10x – 24
E) NOTA
Answer:
D) 10x - 24
Step-by-step explanation:
Bc I know maths a lot
Which equation is equal to 4a + 2b = 10?
options:
b = -2a + 10
b = 2a + 10
b = -2a + 5
b = 2a + 5
Find the solution of the system of equations.
-2x-6y=8
-6x-6y=0
Question 4: *
What are the solutions to the equation 4x2 – 52x + 169 = 121?
Answer:
1.0769
Step-by-step explanation:
multiply 4x2 to get 8
move -52x over the equal sign to make it 52x
so we get something like this: 8 + 169 = 121 + 52x
also move 121 over the equal sign to make it -121
Like this: 8 + 169 - 121 = 52x
Now when you simply, you will get 56 = 52x
Divide both sides by 52
Final answer is 1.0769
what percent of 16 is 120
Please help and show work ASAP DUE SPON
Answer:
452.2
Step-by-step explanation:
r x r x h x 3.14 (pi) = 6x6x3.14x4=452.16, rounded to tenth is 452.2
Answer:
452.4in³
Step-by-step explanation:
diameter= 12in.
radius= 12÷2
= 6in.
volume= πr²h
=π×6²×4
= π×36×4
= 113.097336×4
= 452.389
≈ 452.4in³
how do we say the expression in words?
can somebody help me pls rn
Answer:
Step-by-step explanation:
1 Escritura unida
Según la NGLE se unen las palabras que se interpretan como una unidad y en las que, por tanto, la marca de plural solo afecta al último elemento:[1]
el bajorrelieve, los bajorrelieves
la mediapunta, las mediapuntas
En un buen número de casos, el primer elemento puede seguir teniendo individualidad para parte de los hablantes y admitir la marca del plural. La Gramática admite algunos de esos casos, de modo que las dos formas son posibles, que se escribirán unidas o separadas según se dé ese plural o no:
el puercoespín, los puercoespines; el puerco espín, los puercos espines
el arcoíris, los arcoíris; el arco iris, los arcos iris
el medioambiente, los medioambientes; el medio ambiente, los medios ambientes.
el pavorreal, los pavorreales; el pavo real, los pavos reales
La Gramática prefiere, como norma general, la forma en una palabra.
May i get some help please
Answer:
[tex]\huge\boxed{\sf 995.4 in.\²}[/tex]
Step-by-step explanation:
Area of the circle:
= πr²
Where r = 21 in.
= (3.14)(21)²
= (3.14)(441)
= 1385.4 in.²
Area of triangle:
= [tex]\sf \frac{1}{2} (Base)(Height)[/tex]
Where Base = 20 in. , Height = 39 in.
= [tex]\sf \frac{1}{2} (20)(39)[/tex]
= (10)(39)
= 390 in.²
Area of the shaded region:
= Area of the circle - Area of the triangle
= 1385.4 - 390
= 995.4 in.²
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807what are the inequalities
Answer:
an inequality is a mathematical statement that shows that an expression is lesser than or more than the other.
14 In a book, 98% of the pages contain text, diagrams on both. If 88% of the pages
contain text and 32% contain diagrams, what percentage contain
a.neither text nor diagrams
b. only diagrams
c.only text
d.both text and diagrams?
Answer:
2%
10%
66%
22%
Step-by-step explanation:
For the first one we just need to find the compliment of the union (.98) which is .02
Union formula:
A∪B=A+B-A∩B
We will let T= text and D= diagram
we know that
.98=.88+.32-T∩D
Solve and find that T∩D= .22
Only diagram: .32-.22= .1
Only text: .88-.22= .66
Text and diagrams is the intersection we found earlier or .22
charlies goal is to sell an average of 18 cars each month this year. this table shows how many cars he sold each month from january to november. how many cars does charlie need to sell in december in order to meet his goal of a mean of 18 cars per month?
A. 17
B. 19
C. 26
D. 28
Answer: C-26
Step-by-step explanation: First you need to figure out how many total cars he needs to sell through the year by multiplying 12 by 18. This should get you 216. Now, we need to add all of his actual stats that we have so far to get a total of 190 cars sold. We know he needs 216 total by the end of the year, so we just have to subtract 190 from 216 to get our answer, 26.
Mr.Q's class is having a giveaway where his students can receive 100 classroom credits. He will pull names out of a hat and select two winners. Once a student wins, they are not eligible to win a second time. If there are 40 total people in the class, including you and your best friend.
What is the probability that both you and your best friend get the 100 classroom credits?
PLEASE SHOW WORK!!
Answer:
1/1560
Step-by-step explanation:
The chance of you winning is 1/40, since there are 40 students and you are one of those students. Since, you cannot win again once you win once, you are eliminated. This leaves us with 39 people left. The chances of your friend being chosen out of the 39 people left is 1/39. Now you must multiply 1/40 and 1/39. After multiplying, you get 1/1560.
What is the slope of the line that passes through the line
containing (-6, 1) and (4, 8)?
Find the area inside the 26m square and outside the circle. Use 3.14 for π. A circle is fully inside a square with sides of length 26 meters, such that the circle touches the center of each side of the square.
Answer:
A(b) = 145,34 m²
Step-by-step explanation:
Area of the square of side l = 26 m A(s) = l² A(s) = (26)²
A(s) = 676 m²
Areaof the circle of radius r = 13 A(c) = π*(r)² A(c) = π*(13)²
A(c) = 169*π m²
Then the area outside the circle and inside the square A(b), is the difference between the area of the square minus the area of the circle, that is:
A(b) = A(s) - A(c) = 676 - 169*π m²
A(b) = 676 - 530,66 m²
A(b) = 145,34 m²
The perimeter of a rectangle is 48cm. its length is 4 cm. what is its width?
Answer:
P = 48
4 + 4(two given lengths) = 8
48(perimeter) - 8(length of two given lengths) = 40(length of two unknown sides)
40(length of two unknown lengths) divided by 2(two missing sides) = 20 cm
A sphere with a radius of 6 pi.What is the surface area of the sphere 36Pi3 square units 114Pi2 square units 144Pi3 square units 576Pi4 square units
Answer:
6×36=216.I hope the answer is correct. I will be happy when I get 5 pointsAnswer:
Step-by-step explanation:
Help please!! Quickly!!
The length of a dog run is twice its width. Its area is 50 square yards.
Find the length and width of the dog run.
Answer:
Length = 10 yards Width = 5 yards
Step-by-step explanation:
2w x w = 50 yards²
2w² = 50 yards²
2w²/2 = 50 yards² / 2
[tex]\sqrt{w^{2} }[/tex] = [tex]\sqrt 25 yards^{2}[/tex]
w = 5
Area = l x w
= 10 x 5 = 50
length = 2w
width = w
length = 2(5)
length = 10 yards
On a scale drawing, the height of a tree is 3.75 inches. If the scale of the drawing is 1 in. : 50 ft, how tall is the tree?
HINT: Write and solve a proportion. You will compare 1 in to 50 feet and then determine how many feet 3.75 inches would be. REMEMBER: When writing your proportion, be sure that whichever (inches or feet) is on top and bottom of one ratio, it is in the same position (top or bottom) on other ratio.
Select the equation of the line parallel to y= -3x -5 the equation and that passes through the point (1,2)
Answer:
[tex]y=-3x+5[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (b)Parallel lines always have the slope slopes and different y-intercepts1) Determine the slope (m)
[tex]y= -3x -5[/tex]
With the given line, we can identify clearly that -3 is in the place of m, making it the slope. Because parallel lines have the same slopes, the slope of the line we're currently solving for would also be -3. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-3x+b[/tex]
Plug in the given point (1,2) and isolate b
[tex]2=-3(1)+b\\2=-3+b[/tex]
Add 3 to both sides
[tex]2+3=-3+b+3\\5=b[/tex]
Therefore, the y-intercept of the line is 5. Plug this back into [tex]y=-3x+b[/tex]:
[tex]y=-3x+5[/tex]
I hope this helps!
I need this answered quick alot of points on the line here 2 pictures down below
Answer:
1.x=10 and x=−2.
2. the answer is x=7,-1
3.=3, =1
Step-by-step explanation:
1.Since it is a quadratic equation, then it has, at the most, two solutions because the square root of the variable has a positive and negative value. Thus, the solutions to the given equation are x=10 and x=−2.
2.Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula. the you would simplify the equation.and the last thing that is to separate the equation.
3.-(-4)+/-sqrt(-4)^2-4^1^3/2*1,x=4+/-sqrt(-4)^2-4*1*3,x=4+/3sqrt16-4*1*3,x=4+/-sqrt16-12,/2*1,x=4+/-sqrt4/2*1,x=4+/-2/2*1,x=4+/2/2,x=4+2/2,x=4-2/2
True or false
You always have to use x and y as your variables when writing
equations for word problems.
Answer:
false
Step-by-step explanation:
you can use whatever letters you want to represent things. x and y make sense that you would use just them for graphing, but if it is a word problem you could have like c for cost or t for time or something
X
Pema's bedroom is 18 feet long and 14 feet wide. She drew the plan below to
divide the room into sections. Which shows how to find the area of the Study
Corner?
1) 7 ft + 4 ft = 11 sq ft
11 ft
7 ft
10 ft + 7 ft = 17 sq ft
10 ft
Bed
Study
Corner
1) 10 ft x 7 ft
70 S
sq ft
4 ft Play Area Closet
1) 4 ft x 7 ft = 28 sq ft
70ft is the answer I think
Find the Surface Area of the figure. *
1 point
Step-by-step explanation:
A=2πrh+2πr^2
=2×22/7×3×6+2×22/7×3^2
=113.14+56.57
=169.71 m^2
Step-by-step explanation:
r = 3 cm
h = 6 cm
S. Area = 2πr² + h(2πr)= 2 × 3.14 × 3² + 6 (2 × 3.14 × 3)
= 56.52 + 113.04
= 169.56 cm²
#CMIIWDakota earned $8.75 in interest in Account A and $28 in interest in Account B after 21 months. If the simple interest rate is 3% for Account A and 4% for Account B, which account has the greater principal?
so B should be the answer
Step-by-step explanation:
account a would have 16.42 in their account after 21 months and b would have 64.77 after 21 months also