Answer:
1/5
Step-by-step explanation:
There are 3+5+2 = 10 marbles in the bottle
P(green) = number of green marbles/ total
= 2/ 10 = 1/5
In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians.
What is the length of the arc?
Answer:
length of the arc = 6.28 ft
Step-by-step explanation:
[tex]r = 3 \: ft \\ central \: angle \: ( \theta) = \frac{2\pi^{c} }{3} = 120 \degree \\ \\ l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ l = \frac{ 120 \degree}{360 \degree} \times 2 \times 3.14 \times 3\\ \\l = \frac{ 1}{3} \times 6.28 \times 3\\ \\ l = 6.28 \: ft \\ [/tex]
How long is DE?
Any help will be appreciated thank you
Answer: 4
Step-by-step explanation:
solve for the missing angle
the total degrees a triangle can have is 180 so
[tex]180-90-60=30[/tex]
use law of sines to solve for x
[tex]\frac{x}{sin30} =\frac{4\sqrt{3} }{sin60}[/tex]
cross multiply
[tex]sin60*x=4\sqrt{3} sin30[/tex]
divide by [tex]sin60[/tex]
[tex]x=\frac{4\sqrt{3}sin30 }{sin60}[/tex]
type into calculator with (ALPHA Y= for a fraction on TI-84) MAKE SURE IT IS IN DEGREES
Plz help with this problem
Answer:
A = 222 in²
Step-by-step explanation:
A = 2(wl+hl+hw) Use this equation to find the surface area of the rectangular prism
A = 2(5*12 + 3*12 + 3*5) Multiply
A = 2(60 + 36 + 15) Add in the parentheses
A = 2(111) Multiply
A = 222 in²
If this answer is correct, please make me Brainliest!
work out
3/17 x 17/21
write the answer in its lowest form
3 × 17 over 17 × 21 with the first as numerator and second one as denominator
We can see that both the 17 can nullify so we are left with ³/21 and simplify to get ¹/7
The expression, simplified to its lowest form is [tex]\frac{1}{7}[/tex]
From the question,
We are to evaluate 3/17 x 17/21
First, we will write the expression properly
The expression can be written as
[tex]\frac{3}{17} \times \frac{17}{21}[/tex]
The expression can be evaluated as shown below
[tex]\frac{3}{17} \times \frac{17}{21}[/tex] becomes
[tex]\frac{3 \times 17}{17 \times 21}[/tex]
Simplifying, we get
[tex]\frac{3}{21}[/tex]
Further simplification gives
[tex]\frac{1}{7}[/tex]
Hence, the expression, simplified to its lowest form is [tex]\frac{1}{7}[/tex]
Learn more here: https://brainly.com/question/18736267
5. Decide whether each statement is true or false. (1 point each)
a. T/F: If there is a strong correlation between two variables, the correlation coefficient will be close to –1 or 1.
b. T/F: If there is a negative correlation between two variables, the slope of the regression line will be positive.
c. T/F: If there is a strong correlation between two variables, there is a cause-and-effect relationship.
d. T/F: The best model for data that change direction is a linear model.
e. T/F: A regression line is useful for predicting unknown values within the range of the observed data values.
Answer:
T
F
F
F
T
Hope This Helped! :D
Answer:
ba p e x
Step-by-step explanation:
t
f
f
f
t
Write an equation to solve for the value of x. What is the value of x in the figure shown?
Answer:12
Step-by-step explanation:37=3x+1
The mean weight of females in a class is 60kg and that of the males is 72kg. If the mean
weight of the class is 68kg, what is the ratio of females to males in the class?
Answer:
1:2
Step-by-step explanation:
Let's say there are x males and y females in the class.
The sum of all male weights will be 72x, and the sum of all female weights will be 60y.
If we get a class mean weight, we have:
(72x + 60y) / (x+y) = 68
72x + 60y = 68x + 68y
4x = 8y
y / x = 4/8 = 1/2
So the ratio of females to males is the class is 1:2
The data on ages at which a sample of 35 fathers had their first child show a mean 25.43 and standard deviation 5.19. Define the population parameter of interest in this context.
Answer:
Step-by-step explanation:
A population parameter describes an entire population; a particular characteristic of an entire population. A value that describes the entire population. In this context, the population parameter is looking into the average ages of fathers when they had their first child, but this value is not given. The mean given here is the sample statistic.
Since, the population studied here is a very large population (all fathers), you have a statistic. But sometimes, if the population is very small and groups are small enough to measure, you have a parameter.
For every bracelet she sells, she gives her business partner $4. If Latrece sells 18 bracelets for a total of $207, how much money will Latrece keep from each bracelet sold?
Answer:
Latrece gets to keep 135.
Step-by-step explanation:
so you would multiply 18 by 4 to get 72. Then you would subtract 207 by 72 to get 135
Answer:
7.50
Step-by-step explanation:
For 18 bracelets
She will give per partner
18*4 =72
She will keep all but 72 dollars
207 - 72 =135
She wants to know how much per bracelet so divide by the number of bracelets
135 / 18 =7.5
THE property of two rational numbers is -28/81. If one of them is -2/3, then find the other.
PLEASE HELP..... I NEED TO SUBMIT IT NOW......
State if each sequence is geometric
1, -3, 9, -27
A)Yes
B)No
Answer:
Yes
Step-by-step explanation:
since it is being multiplied by -3 each time its geometric
Bur oak and hickory trees are deciduous,which means that they lose their leaves seasonally. A bur oak is 25 1/2 feet tall and grows 1 1/2 feet each year. A hickory is 30 feet tall and grows 1 1/2 feet each year. Complete the chart to show the heights of the two trees each year for five years.
First we must calculate, for each tree the increment for each year:
bur oak:
Initial: 25.5 ft
1 year = 25.5 + 1.5 = 27
2 year = 27 + 1.5 = 28.5
3 year = 28.5 + 1.5 = 30
4 year = 30 + 1.5 = 31.5
5 year = 31.5 + 1.5 = 33
hickory:
Initial: 30 ft
1 year = 30 + 1.5 = 31.5
2 year = 31.5 + 1.5 = 33
3 year = 33 + 1.5 = 34.5
4 year = 34.5 + 1.5 = 36
5 year = 36 + 1.5 = 37.5
Year | bur oak (ft) | hickory (ft)
0 25.5 30
1 27 31.5
2 28.5 33
3 30 34.5
4 31.5 36
5 33 37.5
a/2 = b/5
Please just help...
Evaluated: a=2b/5 :):):):):):):)
2/5a=b and5 /Answer:
Step-by-step explanation:a=
2b
What is the volume of the prism?
Answer:
Rectangular prism:
length times width x height
Triangular prism:
(a+b+c) h
Find the area of the triangle
Answer: Area of a triangle = (b*h)/2
Step-by-step explanation:
8*14= 112
112/2=56
The area of the triangle is 56 square units.
Answer:
56
Step-by-step explanation:area of aa triangle is 1/2bh
=1/2*8*14+56 square units
hope this hepls
plz mark me brainliest
can someone help me?
Answer:
Step-by-step explanation:
X = 152 -90 = 62 degree
A city is divided by a river. The portion of the city east of the river covers 25% of the city and has a population density of 28 people/km2. The portion on the west side of the river has a population density of 17 people/km2. Find the population density of the city as a whole.
Answer:
The answer is 19,75 people / km2
Step-by-step explanation:
Let's say that the total area of the city is 4 kilometer squares. In that case, the east of the river, which is 25% of the city, is 1 kilometer square. This means that the population is 28 on the east side of the city
The west side of the city is 3 kilometer squares, which means the population is 17 x 3 = 51.
The total population of the city is 51 + 28 = 79 and the total area is 4 kilometer squares. So the population density of the city as a whole is
79 / 4 = 19,75 people per kilometer square.
I hope this answer helps.
a right cone has a surface area of 628 cm squared and a diameter of 10cm what is the slant length
Answer:
slant length = 35 cm
Step-by-step explanation:
A right cone has the vertex directly above the center of the base . The surface area of the right cone can be represented below.
surface area = πr(r + l)
where
r = radius
l = slant height/length
surface area = πr(r + l)
r = 10/2 = 5 cm
surface area = 628 cm²
Therefore,
628 = π × 5(5 + l)
628 = 5π(5 + l)
628 = 25π + 5πl
628 = 25 × 3.14 + 5 × 3.14 × l
628 = 78.5 + 15.7l
628 - 78.5 = 15.7l
549.5 = 15.7l
divide both sides by 15.7
l = 549.5/15.7
l = 35 cm
slant length = 35 cm
Answer:
35cm
Step-by-step explanation:
Sales Gi sells televisions. He earns a fixed amount for each television and an additional $ 30 if the buyer gets an extended warranty. If Gi sells 14 televisions with extended warranties, he earns $ 1 comma 190. How much is the fixed amount Gi earns for each television? The fixed amount Gi earns for each television he sells is $ nothing.
Answer:
The fixed amount Gi earns for each television he sells is $ 55.
Step-by-step explanation:
If Gi sold 14 televisions and earnt a total of $1,190, then for each television that was sold he earnt:
per tv = total earnt/total sold
per tv = 1190/14 = 85
Since he sold all these televisions with warranty, then he earned "x + 30" per each tv sold, since he got the bonus from the warranty. Therefore the fixed amount he earns per tv is:
x + 30 = 85
x = 85 - 30
x = 55
The fixed amount Gi earns for each television he sells is $ 55.
Explain why you cannot use algebra tiles to model the multiplication of a linear polynomial by a quadratic polynomial.
As an added challenge develop a model similar to algebra tiles that will allow you to show this multiplication. Describe an example of your model for the product (x + 1)(x^2 + 2x +2)
Answer:
The product of (x + 1)(x² + 2x + 2) is
x³ + 3x² + 2x + 4
Step-by-step explanation:
The product of (x + 1)(x² + 2x + 2) is Given in the steps below.
(x + 1)(x² + 2x + 2) = x(x² + 2x + 2) + x² + 2x + 2
= x³ + 2x² + 2 + x² + 2x + 2
= x³ + 3x² + 2x + 4
whats x-3y=6 in slope intercept form ?
Answer:
y = 1/3X - 6
Step-by-step explanation:
please help! i do not understand
Answer:
90%
Step-by-step explanation:
Complimentary means the same. And adding them together would equal 90. Just as you would divide 90 by 3, each individual angle would be equal to 30.
Carlos bought 80 feet of wire for $17.60. He needs 30 more feet. If the unit price is the same, how much will he pay for the extra 30 feet of wire?
Answer:
Carlos bought 80 feet of wire for $17.60.
Then the price for 1 feet of wire is 17.6/80 = 0.22
=> 30 feet of wire would cost: 30 x 0.22 = 6.6
Hope this helps!
:)
Solve 8.2ws 29.52. Which of the following must be true abo
OWS36
The arrow points left
The arrow points right
There is an open circle at 3.6.
There is a closed circle at 3.6.
Answer:
A B E
Step-by-step explanation:
A- w less-than-or-equal-to 3.6
B- The arrow points left.
E- There is a closed circle at 3.6.
Answer:
A B E
Step-by-step explanation:
A race car driver has 28 cars. Each car has 4 tires. He has to replace all the tires on the cars. He has 22 tires right now.
estimate the total number of tires he needs to buy.
he needs to buy a total of 81 tires to finish the job
Answer:
94 tires
Step-by-step explanation:
He would be able to change 5 cars, but would need to buy 94 more tires.
I divided 22 by 5 and got 5.5. Then, I subtracted 28 minus 5, and got 23 times that by 4 and got 92 but you need to add the extra 2 tires.
Find the total volume of the rectangular prisms.
A) 88 units3
B) 96 units3
C) 104 units3
D) 114 units3
Answer:
C) 104 units^3
Step-by-step explanation:
The formula for volume in a rectangular prism is V=lwh
There are three total rectangular prisms, so take the volume of each individual prism and add them together to get the total volume.
smallest: V=(2)(2)(4) = 16
Medium: (2)(2)(6) = 24
Largest: (2)(2)(16) = 64
Add it together: 16+24+64= 104
Your answer is 104 units^3
:)
simplify the expression 4x + 3 - x - 7
Answer:
3x - 4
Step-by-step explanation:
The first, and last, step is to add like terms (4x and -x, 3 and -7), like so:
4x + 3 - x - 7
4x - x = 3x
3 - 7 = - 4
3x - 4
Find five rational numbers between 3/7 and 2/3
PLEASE HELP...... I NEED TO SUBMIT THIS NOW....
Answer:
First, you get both of them with same denominator:
3/7 and 2/3 => 9/21 and 14/21, however, there are only 4 rational numbers between 9/21 and 14/21.
The solution is that you can raise the denominator 2 times:
9/21 and 14/21 => 18/42 and 28/42
Now you can select : 19/42, 20/42, 21/42, 22/42, 23/42. They are a group of 5 rational numbers you are looking for.
The diagram shows a square-based cuboid.
10 cm
4 cm
Work out the volume of the cuboid.
State the units of your answer.
Answer:
400 cubic cm
Step-by-step explanation:
Given that base is square and is side is 10 cm
area of square is given by side^2
Thus, area of base of cuboid = [tex]10^2[/tex] square cm = 100 sq. cm
We know volume for any cuboid is area of base * height
height is 4cm
thus, volume of cuboid = area of base of cuboid * height
= 100 * 4 cubic cm = 400 cubic cm
Volume of cuboid is 400 cubic cm.
Unit is cubic cm
The volume of square based cuboid is [tex]400cm^{3}[/tex].
Given that, base is square and side of base is 10 cm.
Height of the square-based cuboid.is 4cm.
Area of base = [tex](side)^{2}=(10)^{2}=100cm^{2}[/tex]
Volume of the cuboid is multiplication of base area and height of the cuboid.
[tex]Volume=100*4=400cm^{3}[/tex]
Hence, the volume of square based cuboid is [tex]400cm^{3}[/tex].
Learn more:
https://brainly.com/question/21225344
A rectangular garden has a walkway around it. The area of the garden is 4(4.5xplus1.5). The combined area of the garden and the walkway is 5.5(8xplus4). Find the area of the walkway around the garden as the sum of two terms.
Answer:
Walkway is 1.5 units²
Step-by-step explanation:
Just subtract the area of the garden from the combined area:
5.5-4=1.5
Also did you mean difference? I don't know what it means by sum.
