Answer: 8.37775 in other way 8/3
Step-by-step explanation:
An arc length is just a fraction of the circumference of the entire circle. So we need to find the fraction of the circle made by the central angle we know, then find the circumference of the total circle made by the radius we know. Then we just multiply them together.
let the function be f defined by f (x) = 12 - 5x
(a) is it true that f (0) = 0 ? explain why or why not.
(b) evaluate f (-1)
(c) what value of a will make the equation f (a) = 6 true?
A tire manufacturer knows that 5% of tires contain a defect, and the presence of a defect is independent from tire to tire.
What is the probability that if 5 tires are inspected, exactly 1 has a defect?
Round to 3 decimal places.
Answer:
the answer is 0.204
Step-by-step explanation:
The probability that if 5 tires are inspected, exactly 1 has a defect is 0.204
How to determine the probability?The probability that a tire is defect is given as:
p = 5%
The required probability is then calculated using:
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x}[/tex]
Where:
n = 5 --- number of tires
x = 1 ---number of tires with defect
So, we have:'
[tex]P(1) = ^5C_1 * (5\%)^1 * (1 - 5\%)^{5 - 1}[/tex]
This gives
[tex]P(1) = 5 * (5\%) * (1 - 5\%)^4[/tex]
Evaluate the product
P(1) = 0.204
Hence, the probability that if 5 tires are inspected, exactly 1 has a defect is 0.204
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Help am usually good at math but I don't understand this one problem
Answer:
Step-by-step explanation:
y = 70x + 100
Graph this system of equations.
1.15x + 0.65y = 8.90
x − 3y = -15
Answer:
We have the equations:
1.15x + 0.65y = 8.90
and
x − 3y = -15
First, let's write them in the slope-intercept form:
The first one will be:
y = -(1.15/0.65)*x + 8.90/0.65
The second:
y = (1/3)*x + 15/3 = (1/3)*x + 5.
then our system is:
y = -(1.15/0.65)*x + 8.90/0.65
y = (1/3)*x + 5.
To graph each line, you can just evaluate the line in two points (for x = 0 and x = 1, for example) and then locate those points in the coordinate axis, and then draw a line that connects them.
For example with the second line:
y(0) = (1/3)*0 + 5 = 5
then we have the point (0,5)
and
y(3) = (1/3)*3 + 5 = 8
Then we have the point (3,8)
With the first equation may be a little harder, as the coefficients are not whole numbers, we can rewrite it as:
y = (1.15/0.65)*x + 8.90/0.65 = (115/65)*x + (890/65)
Where i multiplied and divided by 100 the numerators and denominators in the right side, so now is easier to work with it.
The points you can use are:
y(0) = (115/65)*0 + (890/65) = 13.7
the point is (0, 13.7)
and:
y(1) = (115/65)*1 + (890/65) = 15.5
The point is (1, 15.5)
Below you can see the graphs of both functions:
blue: y = -(1.15/0.65)*x + 8.90/0.65
red: y = (1/3)*x + 5
The answer is in the picture below!
Write the word sentence as an inequality.
A number w is greater than −3.
The inequality is
Answer:
w > -3
Step-by-step explanation:
i need help with this question so please answer
Answer:
29. A 30. C 31. C
Step-by-step explanation:
2/5+1/4+1/6=49/60
60-49=11 >>> 11/60
176/2pi = 28.0
3.89 - hundredths place but not so sure because if you round you get 3.90 so either D or C
What is 0.2(5x – 0.3) – 0.5(–1.1x + 4.2) simplified?
Answer:
1.55 x − 2.16
Step-by-step explanation:
Answer:
1.55 x - 2.16
Step-by-step explanation:
-5x - 2 =13 how do I solve this and what’s the answer
Answer:
x= -3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
-5x-2=13
-5x=13+2
-5x=15
divide both side by -5
x = -3
Arrange the numbers shown in ascending order 1 4/5, 9/5, 32%
Answer: 32% < 1 4/5 < 9/5
Step-by-step explanation:
Step 1: Using the given inputs: 1 4/5 9/5 32%
Step 2:Rewriting these inputs as decimals: 1.8, 1.8, 0.32
Step 3: Sorting this table by decimal values in order from least to greatest: 32% < 1 4/5 < 9/5
Therefore, the sorted inputs in order from least to greatest is:
32% < 1 4/5 < 9/5
Step-by-step explanation:
1 4/5 = 180%
the 1 signifies a whole number; 1 = 5/5. 1 + 4/5 = 1 4/5
9/5 or 1 4/5 = 180%
32% is just 32%
so, it's either:
180%, 180%, 32%
or
180%, 32%
since the 1 4/5 and 9/5 are basically the same thing if you simplify the "9/5"
find the circumcentre of A(0,0) B(3,5) and C(4,2).
Answer:
ANSWER
Let A(4,6), B(0,4), C(6,2) be the vertices of the given △ABC.
Let P(x,y) be the circumcentre of △ABC. Then,
PA=PB=PC⟹PA
2
=PB
2
=PC
2
Now, PA
2
=PB
2
(x−4)
2
+(y−6)
2
=(x−0)
2
+(y−4)
2
x
2
+y
2
−8x−12y+52=x
2
+y
2
−8y+16
8x+4y=36
2x+y=9 .......(1)
Again, PB
2
=PC
2
(x−0)
2
+(y−4)
2
=(x−6)
2
+(y−2)
2
x
2
+y
2
−8y+16=x
2
+y
2
−12x−4y+40
12x−4y=24
3x−y=6 .....(2)
Solving equation 1 and 2, we get,
x=3,y=3
Therefore, the coordinates of circumcentre of △ABC are P(3,3).
Circumradius = PA=
(4−3)
2
+(6−3)
2
=
10
units
Hope it is helpful to you
Of the following sets, which represents a function?
Situation A = {student's name, all the colors that the student likes}
Situation B = {student's name, names of all of the student's teachers}
Only A
Only B
Both A and B
Neither A nor B
Answer:
the second one only b or it could be neither of a nor b
Answer:
D
Step-by-step explanation:
It is neither A nor B because:
You would get so many different responses for Situation A and the same goes for Situation B!
Compare and order the following numbers: √21, 5.2, -4.6, and 39/10
A) -4.6 < 5.2 < √ 21 < 39/10
B) -4.6 < √21 <39/10 < 5.2
C) -4.6 < 39/10 < √21 < 5.2
D) -4.6 < 5.2 < 39/10 < √21
Two perpendicular lines intersect on the y - axis. If the equation of the first line is x + y = 1, what is the equation of the second?
A bag containing food has mass 3.813 kg. When the bag is empty its mass is 257 g. Find in kilograms the mass of the fruit
Answer:
I think it is 0.257 kg
Step-by-step explanation:
To change units from the gram to kilogram, you need to divide by 1000, because 1kg=1000g:
257÷1000= 0.257 Kg
The mass of the fruits in kilogram (kg) is 3.556 kg
Given:
Mass of the bag containing fruits = 3.813 kg
Mass of the empty bag = 257 g
convert
257 g to kg
257 g = 0.257 kg
Mass of the bc fruits = Mass of the bag containing fruits - Mass of the empty bag
= 3.813 kg - 0.257 kg
= 3.556 kg
Therefore, the mass of the fruits in kilogram is 3.556 kg
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Given lines l, m and n are all parallel and cut by two transversal lines, find the value
of x.
1
8
4
m
38
X
п
Answer:
x = 19
Step-by-step explanation:
l, m and n are the parallel lines.
Two transversal lines are intersecting these parallel lines.
By Intercept theorem,
Lengths of intercepts between the parallel lines are proportional.
[tex]\frac{38}{8}=\frac{x}{4}[/tex]
x = [tex]\frac{4\times 38}{8}[/tex]
x = 19
Therefore, x = 19 will be the answer.
how would I solve the system x + 2y = 13, -x + y = 5 when using elimination
Answer:
x + 2y = 13}(add the both eqns)
-x + y = 5}
x +(-x) = 0
2y + y = 3y
13 + 5 = 18
then,
3y = 18
y = 6
from
x + 2y = 13
x = 13 - 2(6)
x = 1
Pls tell me something this problem solve
Answer: B 124
Step-by-step explanation:
When you have problems like this, you would add the two angles inside the triangle to get the measurement for the outer angle. so 37 + 87 equals 124.
A student used this complex fraction to find a unit rate: (340 pages)/(3/4 hour.) Which quotient equals the fraction?
A. 3/4 ÷ 340
B. 4/3 ÷ 340
C. 340 ÷ 3/4
If point F is translated 8 units left and 3 units up, what are the coordinates of F'?
A)
(-1,-2)
B)
(-1, 2)
C)
(-2, 1)
D)
(-2,-2)
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I did the test
Given the following linear equation state the slope and the y-intercept.
y = 2x - 3
m =
b =
what is the result of converting 20 ounces into pounds? remember that 1 pound = 16 ounces
Answer:
1.25 pounds
Step-by-step explanation:
20/16=1.25
^ Ounces
^Ounces in pound
^Result/pounds
x*+5X+6
please thanks
m+7=3+m+4 Solve for m
Answer:
m any number becuase you subract 7 from both sides
Step-by-step explanation:
Ms.Schwafaty buys 5 books that each cost the same amount and a magazine all for $75.99. The magazine costs $5.99. How much does each book cost?
Name the constant of variation for y equals 1/4x then find the slope of the (0,0) and (4,1)... please
Answer:
Constant of variation: 1/4
Slope of the line: 1/4
Step-by-step explanation:
The constant of variation means the relationship between variables does not change. When we want to identify the constant of variation for an equation, it is helpful to refer to one of the following formulas: xy = k (inverse variation) or y/x = k (direct variation), where k is the constant of variation.
The slope formula states that m = (y2 -- y1) / (x2 -- x1). The slope formula can be read as "slope equals the second y coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate".
PLEASE HELP. this is extra credit! ill provide brainliest (if im able too)
Answer:
∠ADF = ∠ECF × 2
Step-by-step explanation:
∠ABC = ∠EBD = ∠ADF = ∠ECF × 2
Thus, meaning that they are congruent to each other.
Have a great day!
BONUSES A company has set aside 10 dollars for annual employee bonuses. If the company has 10 employees and the money is divided equally among them, how much will each employee receive?
There are several types of bonuses. Some plans simply give employees a certain share of the company profits. Other programs give incentives to individuals or teams to perform at or above certain thresholds. The following article details 10 types of bonuses that are typically seen in the workplace.
Please mark brainliest! :)
Solve for the variable -x=-12
Answer:
It's x = 12
Explanation:
-12 = -12
Question 1
Which of the following things must you have for sound to travel? (6.P.1.3)
Vibrations
Al of these
Atoms
Energy
Answer:
vibrations
Step-by-step explanation:
-\dfrac{5}{6}x=-\dfrac{10}{3}−
6
5
x=−
3
10
Answer
ok
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
-5/6 x = -10/3
Multiply by 6 each side:
6(-5/6 x) = 6 (-10/3)
Simplify:
-5x = -20
Divide -5 each side:
-5x/ -5 -20/-5
Simplify:
x= 4