Answer:
the probability that the light is red would be 5 or 5%
Step-by-step explanation:
if we add all of the possible outcomes together like so :
50+6+14 we will get 70
now we know we want to find out the probabilty of it being red we need to divide 70 by 14 and we get 5 or 5% your welcome and me as a freind if you need more help or add me on messenger the 1 carlos is my name
what is X + 1.8 =14.7
Answer:
Step-by-step explanation:
X = 14.7 - 1.8
X = 12.9
What is 2 to the power of -2? My teacher said it does not equal -4… does it equal positive 4??
Answer:
1/4
Step-by-step explanation:
2 to the power of -2 would be 1/4.
This is because 2 to the power of -1 would be 1/2. And the power of 2 would square the 2 as the denominator making it 1/4.
The reason -1 makes the 2 turn into a fraction is that to the power of 2 means 2x2, to the power of one means 2, The power of zero would therefore divide by 2 so 2/2 = 1 and so 2 to the power of -1 would be 1/2.
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
What is 2 to the power of -2?
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
Let's look at the last property of exponents - [tex]\bold{\#7 - negative\:exponents}[/tex]
[tex]\Large\text{$a^{-n}=\displaystyle\frac{1}{a^n}$}[/tex]
So if we have a number with a negative exponent, we flip it over.
According to Property #7,
[tex]\Large\text{2^{-2}=\displaystyle\frac{1}{2^2} =\frac{1}{4}$}[/tex]
Good luck with your studies.[tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{60}{1}[/tex]
more than one answered
Select the correct pairs of triangles, The measures of two angles of pairs of triangles are given. Which pairs of triangles are similar?
The pair of triangles that are similar to each other will be given below.
Triangle 1: 55°, 45° and Triangle 2: 55°, 80°.
Triangle 1: 105°, 23° and Triangle 2: 52°, 105°.
What are similar triangles?If any two angles of triangles are equal then the triangles are known as similar triangles.
The measures of two angles of pairs of triangles are given.
Triangle 1: 55° and 45°, then the third angle will be 80°.
Triangle 2: 55° and 80°, then the third angle will be 45°.
They are similar triangles.
Triangle 1: 105° and 23°, then the third angle will be 52°.
Triangle 2: 52° and 105°, then the third angle will be 23°.
They are similar triangles.
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Answer:
Triangle 1: 55° and 45°, then the third angle will be 80°.
Triangle 2: 55° and 80°, then the third angle will be 45°.
They are similar triangles.
Triangle 1: 105° and 23°, then the third angle will be 52°.
Triangle 2: 52° and 105°, then the third angle will be 23°.
Suppose △JMN≅△KQR.
Which congruency statements are true?
Select each correct answer.
∠M≅∠Q
NJ¯¯¯¯¯≅KQ¯¯¯¯¯¯
∠N≅∠M
∠R≅∠K
QK¯¯¯¯¯¯≅MJ¯¯¯¯¯¯
MN¯¯¯¯¯¯¯≅QR¯¯¯¯¯
The congruency statements that are true if triangles JMN and KQR are congruent are:
A. ∠M ≅ ∠Q
E. QK ≅ MJ
F. MN ≅ QR
What are Congruent Triangles?Two triangles that are congruent to each other will have their corresponding angles and corresponding sides congruent to each other.
Thus, since we assume that △JMN ≅ △KQR, all corresponding angles and sides of both triangles must be congruent.
Therefore, the true congruency statements are:
A. ∠M ≅ ∠Q
E. QK ≅ MJ
F. MN ≅ QR
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A triangle, A ABC, has angle measures of 82', 75', and 23* and no sides equal (congruent) in length. How would this triangle
be classified?
Answer:
Acute Scalene Triangle
Step-by-step explanation:
This depends on the classification type. Because we are given both the angle measure and information on the sides, I am combining the angle and side classification.
1. In terms of angles, it's acute. All the angles are less than 90, so it makes it acute.
2. In terms of sides, it's scalene because it has no equal sides.
Mrs. Wilkinson can buy a 20-ounce box of cereal for 3.60 or a 28-ounce box of cereal for 4.20. What is the better buy? Explain.
Answer:
the 20 ounce box
Step-by-step explanation:
because its less money per ounce
Which expresses the solutions to x^2 - 10x + 13 = 0
The expression of the solution of the given quadratic equation is gotten as; x = 5 ± 2√3
How to find the root of quadratic Equations?We want to find the solution to the quadratic equation given as;
x² - 10x + 13 = 0
We will use the quadratic formula to get;
x = [-b ± √b² - 4ac]/2a
x = [-(-10) ± √(-10)² - 4(1 × 13)]/2(1)
x = 5 ± (√48)/2
x = 5 ± (4√3)/2
x = 5 ± 2√3
Thus, the solution is x = 5 ± 2√3
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URGENT: Determine the equation of the circle graphed below.
Answer:
[tex](x - 6)^2 + (y - 7)^2 = 4[/tex]
Step-by-step explanation:
The centerpoint (a,b) is (6,7), the radius r is 2. Both can be read from the graph.
With that you can fill in the standard equation of a circle:
[tex](x-a)^2 + (y-b)^2 = r^2[/tex]
A storage box is 60 cm long, 45 cm wide, and 30 cm high. The lid is 10 cm high. What is the surface area of the box and its lid?
The formula for the surface area of a rectangular prism (the storage box) is given by: A=2(wl+hl+hw). In this instance, w = width, h = height, and l = length.
We will calculate the surface area of the box and lid by first determining the height with the storage box lid included.
The height is now 40 cm (= 30 + 10). The width is still 45 cm. The length is still 60 cm.
You can fill in these values: A = 2(wl+hl+hw) = 2((45 * 60) + (40 * 60) + (40 * 45)) = 13,800.
Here is a regular polygon with 9 sides
Work out the side of an exterior angle
Thanks
Answer:
40
Step-by-step explanation:
The number of sides also represents the number of angles.
Now, to find the measure of one angle we will need to find the sum of angles first and to do that, we use this very simple formula:
(n-2)*180 (n is the count of interior angles)
7*180 = 1260 and to find the measure of one angle we divide the sum with the number of angles:
1260/9 = 140
now, since the sum of an interior angle and an exterior angle is 180:
180-140 = 40 is the size of one exterior angle
There's an easier way too, just divide the sum of exterior angles by the number of angles
360/9 = 40
The two ends of this triangular right prism are equilateral triangles. The
measurements are given to the nearest tenth of a cm.
mi
4 cm
1
3.5 cm
5 cm
4 cm
4
Vhat is the surface
area of the prism?
If the two ends of this triangular right prism are equilateral triangles. The surface area of the prism is 74cm.
Surface areaUsing this formula
A=bh+L(S1+S2+S3)
Where:
L=5cm
b=4cm
h=3.5cm
S1=4cm
S2=4cm
S3=4cm
Let plug in the formula
A=4(3.5)+5(4+4+4)
A=14+5(12)
A=14+60
A=74 cm
Therefore the surface area of the prism is 74cm.
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Hillsboro is 6 miles due north of the airport, and Middletown is 5 miles due east of the airport. How far apart are Hillsboro and Middletown?
Answer:
Approximately 7.81 miles apart.
Step-by-step explanation:
If you were to draw lines between the three points, you would see that it makes a triangle, with leg lengths 6 and 5, like in the attached file.
To find the distance between Hillsboro and Middletown, or the hypotenuse of the triangle, use the Pythagorean Theorem:
6² + 5² = c²
c² = 61
c = √61 = 7.81 miles
Hope this helps!
Suppose the heights of the members of a population follow a normal distribution. if the mean height of the population is 65 inches and the
standard deviation is 3 inches, 99.7% of the population will have a height
within which range?
a. 59 inches to 71 inches
b. 53 inches to 77 inches
c. 62 inches to 68 inches
d. 56 inches to 74 inches
Answer:
D) 56 inches to 74 inches
Step-by-step explanation:
By the Empirical Rule, 99.7% of data in a normal distribution spread across ±3σ standard deviations from the mean μ.
Hence, the range maximum is μ+3σ = 65+3(3) = 65+9 = 74 inches, and the range minimum is μ-3σ = 65-3(3) = 65-9 = 56 inches
Thus, 99.7% of the population will have a height within the range of 56 inches to 74 inches
In 2015, about 895.5 million passengers traveled by plane in the United States. Which value is the best estimate of the number of passengers?
0 8 x 10"
O 8 x 10°
O 9 x 10
O 9 x 10'
Answer:
It is D 9 x 10
Step-by-step explanation:
-9/15 - (-5/15)
PLEASE HELP!!
Answer:
-4/15 would be your answer
Step-by-step explanation:
an easier way to recognize this would be to ignore the parenthesis and take the 2 negatives that would then be next to each other, and combine them into a positive, making them -9/15+5/15=-4/15 as your answer.
Given an = a + (n − 1)(d)
and the sequence
2, 9, 16, 23,..., identify the 50th
term in the sequence.
A. 343
B. 345
C. 49
D. 700
Answer:
345hope this helps
Step-by-step explanation:
What is a radian?
a radius that is 3. 14 inches long
an angle measure with an arc length equal to one diameter length
an arc length that is the length of one diameter
an angle measure with an arc length equal to one radius length
Answer:
The correct option is "an angle measure with an arc length equal to one radius length"
When finding radians, use this formula below.
Degrees × π/180
please help me due in 1 hour
Answer:
For part A it is 670,000 times 0.02 and that equals 13400 so you add it and it is 683,400
Step-by-step explanation:
Part B is 696,800
Part c is they have to be individual and the years are not all connected. Each year is one more increase
Mt. etna is now 11,013 feet tall after growing 100 feet. what was the percent change in its height, rounded to the nearest tenth?
Answer:
0.9%
Step-by-step explanation:
The percentage change is found by multiplying the fractional change by 100%. The fractional change is the change amount divided by the original amount.
__
change in height = 100/11013 × 100% ≈ 0.0090802 × 100% ≈ 0.9%
If the radius of a sphere is doubled, does the volume also double? explain.
Answer: No, the volume is eight times as large
Step-by-step explanation:
We will test this. Let the radius equal 4, then we will double it to 8.
4 * 2 = 8
With a radius of 4, the volume is about 268 units³. With a radius of 8, the volume is about 2,145 units³.
2,145 / 268 = 8
The volume is not twice as large, it is eight times as large.
Why is this? In the formula, r is cubed. WIth an example of 2, 2 * 2 * 2 = 8.
The volume of this right prismis 2500 What is the hegt, z. of the prisma Enter your answer to the bou X=
Answer:
10 units.
Step-by-step explanation:
Given:
[tex]\text{Volume of prism = 2500 units}^{3}[/tex][tex]\text{Length: 25 units}[/tex][tex]\text{Width: 10 units}[/tex]Formula:
[tex]\text{Volume of rectangular prism = Length} \times \text{Width} \times \text{Height}[/tex]
Substitute the length, width, and the volume of the prism in the formula
[tex]\implies \text{2500 = 25} \times 10 \times \text{Height}[/tex]
Divide 25 × 10 to both sides of the equation to isolate "Height"
[tex]\implies \dfrac{\text{2500}}{25 \times 10} = \dfrac{25 \times 10 \times \text{Height}}{25\times 10}[/tex]
[tex]\implies \dfrac{\text{2500}}{25 \times 10} = \text{Height}[/tex]
Simplify the left hand side of the equation
[tex]\implies \dfrac{{25 \times 10 \times 10}}{25 \times 10} = \text{Height} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [2500 =25 \times 10 \times 10][/tex]
[tex]\implies \dfrac{{10}}{1} = 10 = \text{Height}[/tex]
Therefore, the measure of the height is 10 units.
Consider the graph of the cosine function shown below.
a. Find the period and amplitude of the cosine function
b. At what values of θ for 0 ≤ θ ≤ π 2 do the maximum value(s), minimum values(s), and zeros occur?
Answer:
a. The amplitude should be 2.
The period should be 2\pi.
b. maximum value occurs in (0,1) at x = 0
minimum value occurs in (pi,-1) at x = pi
Step-by-step explanation:
I have no idea what this is can someone please help
Choose the correct words from the drop-down menu to make a true statement about the system of equations. 2x + y = 2 y = –2x – 1 Using substitution, the system has
The system of equation 2x + y = 2 y = –2x – 1 has infinitely many solutions because the coefficient of the x and y in the equations are same.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a system of equations:
2x + y = 2 …(1)
y = –2x – 1 or
2x + y = -1 ...(2)
As we can see the coefficient of the x and y in the equation (1) and (2) are same which means they infinitely many solutions.
Thus, the system of equation 2x + y = 2 y = –2x – 1 has infinitely many solutions because the coefficient of the x and y in the equations are same.
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Consider the set of all sets of exactly three integers. Select all true statements about the set .(a) is infinite(b) is finite(c) is countably infinite(d), where denotes the natural numbers(e) is uncountable
The set of all sets of exactly three integers are finite set, countably infinite set, and Uncountable.
What is set?A set is simply an organized collection of distinct objects forming a group and can be expressed in set-builder form or roaster form.
Let A= [2,3,4] = uncountable
B= [3,4)=uncountable
A ∩ B ={3}= finite
Hence,A ∩ B is finite set .
Let A= set of positive real numbers that is Uncountable.
B= Set of negative real numbers and positive integers that is Uncountable
Now, A ∩ B =Set of positive integer numbers
A ∩ B =countably infinite set.
Let A= set of real numbers that is Uncountable
B= Set of irrational numbers that is Uncountable
Then, A ∩ B = set of irrational numbers is Uncountable.
when A is a set of real numbers and B is a set of irrational numbers.
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Simplify the expression.
Answer:
h to the power of 7 im pretty sure
Step-by-step explanation:
Answer:
h^7
Step-by-step explanation:
h^6 . h
h can be written as h^1
Formula : -
a^m . a^n = a^( m + n )
Here,
a = h
m = 6
n = 1
h^6 . h^1
= h^( 6 + 1 )
= h^7
How many bushels of white beans are there in 67 tonnes if the conversion factor is 36.744 bushels/tonnes
Answer:
2461.848 bushels
Step-by-step explanation:
67 tonnes x 36.744 bushels/ 1 tonnes
= 2461.848 bushels
Calculate the percent change in net sales from
Quarter 1 to Quarter 2 from the following income
statement information:
Q1 (x1000)
Net Sales 115
COGS
30
Gross Profit 85
Overhead 32
Net Income 53
Q2(x1000)
125
31
94
41
53
percent change = [?] %
Enter your answer as a percent rounded to the nearest tenth.
Enter
Help
Answer:
8.7%
Step-by-step explanation:
Well the net sales of Quarter 1 = 115 whilst the net sales of Quarter 2 = 125.
So the difference in the 2 numbers is 125-115 = 10
To find percentage change, you do 10/115 = 0.0869565217
Then, 0.0869565217 x 100 = 8.7% change to 1 decimal point.
So your percentage change is 8.7%.
I'm in need of help with this becuz I don't get it
Answer:
Here is how to solve these!
if u want me to solve them too, tell me in the comments.
Step-by-step explanation:
So, u start off by putting in ur mind that u want to solve for x (or the variable) and u start working on that by that following:
-Step one: Isolate the variable, u should remove anything that is at the same side of the equal sign along with the variable to the other side, you do that by flipping the operation in front of it (flip + to -, flip x to /, and vice versa too) for example, you have 3x=6, u isolate x by dividing 3 by both sides, removing it from the side of x and taking it to the other side.
-Step two: After moving the numbers to the other side, make the operation u should be doing, example is now that u have x= 6/3 u won’t leave it standing there, so u solve, and the answer would be 2
-Step three: Piece everything together, now that u have a side with only one number and a side with only a variable, you know what x really is, which is x=2 and this is how u find x
-Additional step: if ur teacher told u to check if ur answer is correct, u check by substituting the variable (x) with the answer u got (2) and solve the equation u had in the first place normally, if the two sides are equal, ur answer was correct, if they are not, u have to solve it again with more focus
ur welcome :)
brainliest please?
42divided by 7-(1x12)=
My calculator said the answer was -6