Answer:
1 is e(200) . 2 is e(-2) . 3 is O te(-02) . 4is # e(30) .
BRAINLIEST AND 100 POINTS!!
Create a comparative box plot for the morning and afternoon dogs, and label each with its five-number summary.
Sara's dogs:
Morning:
39, 21, 12, 27, 23, 19, 19, 31, 36, 25
Afternoon:
15, 51, 8, 16, 43, 34, 27, 11, 8, 39
Answer:
see attached
Step-by-step explanation:
Morning:
12, 19, 19, 21, 23, 25, 27, 31, 36, 39
Min value: 12
Lower quartile (Q1): 19
Median (Q2): 24
Upper Quartile (Q3): 31
Max value: 39
Afternoon:
8, 8, 11, 15, 16, 27, 34, 39, 43, 51
Min value: 8
Lower quartile (Q1): 11
Median (Q2): 21.5
Upper Quartile (Q3): 39
Max value: 51
Answer:
7. AM IQR: 12 PM: IQR: 28 8. see below in explanation
Step-by-step explanation:
7. 31-19=12
39-11= 28
You subtract Q1 from Q3 to get the IQR.
8. I believe the morning group of dogs would be easier to walk as one group because the group has a closer range of weights (12-39) compared to the afternoon group of (8-51). Walking a large group of dogs with similar weights would be easier than walking a group of very small and very large dogs at the same time because their pace of walking would be so different.
???? please help lol
Answer:
150π ft²10π ft.Step-by-step explanation:
Area of the sector :
[tex]Area (sector) = \pi r^{2} \times \frac{\theta}{360^{o}}[/tex]
Finding the area given r = 30 ft. and θ = 60° :
⇒ Area = π × (30)² × 60/360
⇒ Area = π × 900/6
⇒ Area = 150π ft²
===========================================================
Length of the arc :
[tex]Length (arc) =2 \pi r} \times \frac{\theta}{360^{o}}[/tex]
Finding the arc length given r = 30 ft. and θ = 60° :
⇒ Arc Length = 2 × π × 30 × 60/360
⇒ Arc Length = 60/6 × π
⇒ Arc Length = 10π ft.
Answer:
1. 150π ft²
2. 10π ft²
Step-by-step explanation:
Hello there!
Here is how we solve the given problem:
Area of the sector of a circle refers to the fractional circle area. Which is given by; (∆°/360°) × πr². Where ∆° is the angle subtended by the arc.the arc length also refers to the length swept by the arc with angle theta (∆°) - subtended. Given byL = ∆°/360° ×2πr
From our problem,
∆ = 60°, r = 30ft
Lets substitute the values
1. A = (∆°/360°) × πr²
= 60°/360° × π × 30²
= 150π ft²
2. L = ∆°/360° × 2πr
= (60/360) × 2 × 30 × π
= 10π ft²
NOTE:
Use the formulas given below to be on a save side;
A = (∆°/360°) × πr² L = ∆°/360° × 2πr.I hope this helps.
Have a nice studies. :)
Elijah made 14 quarts of punch for a party. How many gallons of punch did he make?
Answer:
3.5 gallons of punch
Step-by-step explanation:
There are 4 quarts in 1 gallon.
Set up equation to convert 14 quarts to gallons: 14÷4 = 3.5.
Elijah made 3.5 gallons of punch.
The volume of a box is 143.4 in3. find the volume of a larger, similarly shaped box that has a scale factor of 3. round your answer to the nearest tenth.
3,871.8 in3
430 in3
1,290.6 in3
47.8 in3
Answer:
1,290.6 in3
nut.
Lawrence poured 27.328 L of water into a right rectangular prism- shaped tank. The base of the tank is 40 cm by 28 cm. When he finished pouring the water, the tank was ⅔ full. ( 1L=1,000 cm 3).
By using the given dimensions and volume of water, we will see that the height of the tank is 36.6cm
How to find the height of the tank?We know that 27,238 cm³ is the volume of water on the tank, and this is equal to 2/3 of the volume of the tank.
So we can write:
27,238 cm³ = (2/3)*V
Then the volume of the tank is:
V = (3/2)*27,238 cm³ = 40,992 cm³
The base of the tank measures 40cm by 28cm, then:
B = 40cm*28cm = 1,120 cm²
Then the height H is such that:
H*1,120 cm² = 40,992 cm³
Solving for H:
H = (40,992 cm³)/(1,120 cm²) = 36.6cm
The height of the tank is 36.6 centimeters.
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A sequence is defined recursively by the formula f(n 1) = f(n) 3 . the first term of the sequence is –4. what is the next term in the sequence? –7 –1 1 7
The sequence whose first term is - 4 and defined recursively by the formula f(n + 1) = f(n) + 3 have the element - 1 as the next term. (Correct choice: B)
How to determine an element of a sequence
In mathematics, sequences are sets whose elements observe at least a condition, which is represented by a recursion formula in this question:
f(n + 1) = f(n) + 3
Thus, the following term of the sequence is:
f(2) = f(1) + 3
f(2) = - 4 + 3
f(2) = - 1
The sequence whose first term is - 4 and defined recursively by the formula f(n + 1) = f(n) + 3 have the element - 1 as the next term. (Correct choice: B)
Remark
The statement is poorly formatted and reports typing mistakes. Correct statement is:
A sequence is defined recursively by the formula f(n + 1) = f(n) + 3. The first term of the sequence is - 4. What is the next term in the sequence? a) - 7, b) - 1, c) 1, d) 7
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what is the domain of the function shown in the table. X {3, 5, 7, 9} Y {-4, -3, 3, 4}
Answer:3,5,7,9
Step-by-step explanation:I’m pretty sure all the inputs are the domains
Is the graph increasing, decreasing, or constant?
Answer:
Decreasing
Step-by-step explanation:
Because the equation of that graph is Y=-X, and the - in the X represents that the graph is decreasing.
The depth of a diver is her distance below sea level because depth represents a distance
The depth of the diver is 32 feet below sea level.
What is the angle of elevation?The angle of elevation is the angle between the observer's eyesight horizontal line and the object. The complete question can be seen in the image attached below.
The depth of the diver is the absolute value of -32 since it can't be negative.
= |-32|
= 32
Therefore, we can conclude that the depth of the diver is 32 feet below sea level.
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in a school of 330 students , 85 of them are in drama ,200 of them are in a sports teAM AND 60 OF THEM DO DRAMA AND SPORTS.
fIND THE PROBABILITY THAT A STUDENT CHOSEN AT RANDOM ISNT IN DRAMA OR SPORTS
THE PROBABILITY THAT A STUDENT CHOSEN AT RANDOM ISNT IN DRAMA OR SPORTS is 7/22.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Let's denote students
D = in the drama club ,
S = in a sports team
So, P(D) = 85/330
P(S) = 200/330
P(D and S) = 60/300
P(D or S) = P(D) + P(S) - P(D and S)
P(D or S) = 85/330 + 200/330 - 60/330
P(D or S) = 15/22
P(neither D nor S) = 1- 15/22
P(neither D nor S) = 7/22
Thus, THE PROBABILITY THAT A STUDENT CHOSEN AT RANDOM ISNT IN DRAMA OR SPORTS is 7/22.
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Help me with number 14 plss
Answer:
-3 1/5
Step-by-step explanation:
to find the slope of the line you use the equation (y2 - 1) / (x2 - x1)
when plugged in you get
(5 + 3) / (-2 1/4 - 1/4)
then you do what is inside the parenthesis
8 / -2 1/2
8 / -2.5
lastly you divide
you get -3 1/5
that is your answer
PLEASE HELP!! I cant choose!
Tariq refuses to shoplift from the neighborhood store because he believes stealing is wrong. What concept is this an example of?
A) Self-efficacy
B) Empathy
C) Perspective
D) Ethics
A triangular brace has an angle measure of 30 degrees, with a side opposite
this angle measuring 8 inches. The base of the triangular brace, which is
adjacent to the given angle measure, is 11 inches in length. Which of the
following statements is correct?
A. There is not a solution for the angle opposite the side measuring
11 inches.
B. The angle opposite the side measuring 11 inches has one solution
of approximately 43 degrees.
C. The angle opposite the side measuring 11 inches has one solution
of approximately 62 degrees.
D. The angle opposite the side measuring 11 inches, has two
solutions of approximately 43 degrees and 137 degrees.
The angle opposite the side measuring 11 inches has one solution of approximately 43°. Thus, the correct option is B.
What is Sine rule?The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,
[tex]\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}[/tex]
where Sin A is the angle and α is the length of the side of the triangle opposite to angle A,
Sin B is the angle and β is the length of the side of the triangle opposite to angle B,
Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.
Using the sine rule, the measurement of the angle of opposite the side measuring 11 inches can be done. Therefore, the measure can be written as,
8/ Sin(30°) = 11/ Sin(θ)
Sin(θ) = [11 × Sin(30°)]/8
Sin(θ) = 0.6875
θ = Sin⁻¹ (0.6875)
θ = 43.4325° ≈ 43°
Hence, The angle opposite the side measuring 11 inches has one solution of approximately 43°. Thus, the correct option is B.
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What is the rate of change ( slope) for the given line
It’s extremely hard to tell, but it looks like it’s 3 over 2, which is 3/2.
3/2 is 1.5, or just 3/2. Since the line is going down, the slope would be negative, so -3/2.
Hope this helps!
Answer:
Step-by-step explanation:
-3/2 i think
THis might be wrong tho
5. (3.5pts) Given the equation y = y²x+2 cos(x) find . Show each step of your work.
dx
Answer:
[tex]\dfrac{dy}{dx}=\dfrac{y^2-2 \sin(x)}{1-2xy}[/tex]
Step-by-step explanation:
Given equation:
[tex]y=y^2x+2 \cos(x)[/tex]
To find the derivative of the given equation, use implicit differentiation.
Add d/dx in front of each term:
[tex]\dfrac{d}{dx}\:y =\dfrac{d}{dx}\:y^2x+\dfrac{d}{dx}\:2 \cos(x)[/tex]
Differentiate terms in x only (and constant terms) with respect to x:
[tex]\dfrac{d}{dx}\:y =\dfrac{d}{dx}\:y^2x-2 \sin(x)[/tex]
Use the chain rule to differentiate terms in y only:
(in practice this means to differentiate with respect to y then place dy/dx on the end)
[tex]\dfrac{dy}{dx}\: =\dfrac{d}{dx}\:y^2x-2 \sin(x)[/tex]
Use the product rule on the term in x and y:
[tex]\textsf{let }u=y^2 \implies \dfrac{du}{dx}=2y \dfrac{dy}{dx}[/tex]
[tex]\textsf{let }v=x \implies \dfrac{dv}{dx}=1[/tex]
[tex]\implies u\dfrac{dv}{dx}+v\dfrac{du}{dx}=y^2+2xy \dfrac{dy}{dx}[/tex]
Therefore:
[tex]\dfrac{dy}{dx} =y^2+2xy \dfrac{dy}{dx}-2 \sin(x)[/tex]
Rearrange to make dy/dx the subject:
[tex]\dfrac{dy}{dx}-2xy \dfrac{dy}{dx} =y^2-2 \sin(x)[/tex]
[tex]\dfrac{dy}{dx}(1-2xy)=y^2-2 \sin(x)[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{y^2-2 \sin(x)}{1-2xy}[/tex]
Translate the english phrase into an algebraic expression: the quotient of m and the sum of n and p.
enter all quotients as fractions.
The English phrase can be written as the fraction:
[tex]\frac{m}{n + p}[/tex]
How to write the algebraic expression?Remember that the quotient between two numbers gives a fraction.
Now, we have the sentence:
"the quotient of m and the sum of n and p."
Then we know that the numerator is m, and the denominator is (n + p) (the sum of n and p).
So the expression will just be the fraction:
[tex]\frac{m}{n + p}[/tex]
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Select the correct answer from each drop-down menu. two six-sided fair dice are rolled simultaneously. the probability that the sum of the two numbers rolled is greater than 3, given that the sum of the numbers is not greater than 5, is . the probability that one of the numbers is a 6 and the sum of the two numbers is an odd number is .
Two six-sided fair dice are rolled simultaneously.... 6 and the sum of the two numbers is an odd number is mathematically given as
x=7/10
What is the sum of the two numbers?Generally, the equation for Number is mathematically given as
[tex]x=P\frac{E > 3}{Enot > 5}\\\\Therefore\\\\x=P\frac{E > 3}{E\leq5}\\\\x=P\frac{4\leq E \leq5}{E\leq5}\\\\x=P\frac{7/36}{10/36}[/tex]
x=7/10
In conclusion, the sum of the two numbers
x=7/10
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What is the value of -3r+ 8 when r=4
Given:
AD = CB
DC = BA
Prove:
∠3 = ∠2
Which of the following triangle congruence theorems would be used in this proof?
ASA
AAS
SSS
The congruence theorem that can be used to prove that both triangles are congruent is: C. SSS.
What is the SSS Congruence Theorem?The SSS congruence theorem is a triangle theorem which states that two triangle are congruent if they have three pairs of corresponding sides that are congruent.
The triangles in the image given have the following three corresponding sides that are congruent:
AD ≅ CBDC ≅ BAAC ≅ CA (reflexive property)Therefore, the congruence theorem to prove they are congruent is: C. SSS.
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use the number line to find each product
- (3)(-3) =
Answer:
it's 9
Step-by-step explanation:
type it in a calculater
In which number does the 7 have a value that is 1/100 the value of the 7 in 468.705?
A 564.270
B 695.187
C 713.442
D 870.349
NEED HELP ASAP
Answer:
B 695.187
because 7 in 468.705 has value 1/10
1/100×1/100 is 1/1000 which is 0.007.
Answer:
B. 695.187
Explanation:
In the number 468.705, the number 7 is in tenths place (0.1)
If the value of 7 in that number which is 0.1 has value of 1/100, then
0.1 × 1/100 = 0.001 (thousand place)
Then the number 7 will be in thousands place: 0.007
Among options, option B (695.187) has the value of 7 in thousands place.
¿Qué número es 100 más que 897?
Answer:
997
Step-by-step explanation:
Hope this helps a little.
find the equation of the line:
The slope of AB is (0-4)/(-2-0)=2, so since perpendicular lines have negative reciprocal slopes, the slope of the perpendicular line is -0.5.
So, the equation of the line is:
y + 1 = -0.5(x - 5)
y + 1 = -0.5x + 2.5
y = -0.5x + 1.5
he price of a used motorbike is 4975. Danny, a buys the motorbike for 3781. What is the discount percent given?
well, we know the discount is 4975 - 3781 = 1194.
if we take 4975 to be the 100%, what is 1194 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 4975 & 100\\ 1194& x \end{array} \implies \cfrac{4975}{1194}~~=~~\cfrac{100}{x}\implies \cfrac{26}{6}=\cfrac{100}{x} \\\\\\ 26x = 600\implies x=\cfrac{600}{26}\implies x\approx 23.08[/tex]
Answer:
0.76
Step-by-step explanation:
4975 × 0.76 = 3781
the discount percent given is .76%
Estimate the size of a crowd at a concert where the area is 100 feet by 300 feet
(approximately the size of a football field). Assume 1 person for each 2.5 square feet.
a. 12,000
b. 10,000
c. 24,000
d. 5,000
The size of the crowd is 12,000
What is area of plane shape?This is the portion covered by the shape.
Analysis:
Area of field = 100 x 300 = 30000 square feet
If 1 person covers 2.5 square feet of the file then 30000/2.5 = 12,000 persons will cover the whole field.
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A(n) _________ is a statistical relationship between two variables, such that knowing one of the variables makes it possible to predict the other.
A correlation is a statistical relationship between two variables, such that knowing one of the variables makes it possible to predict the other.
What is correlation?A correlation can be defined as the relationship that exists between two variables when one of them is related to the other in some way.
It is also a measure that expresses the extent to which two variables are closely or linearly related which entails that they change together at a constant time.
Hence, correlation is a statistical relationship between two variables, such that knowing one of the variables makes it possible to predict the other.
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Now Ann is x years old and her sister is eight years younger than her. After five years , Anne's age is twice the age of her sister.
Write down the ages of Anne and her sister after five years in terms of x.
Please help me friends
Answer:
You can refer to the given attachment
What is the perimeter of WXYZ?
There are two triangles, triange WXZ and triangle YXZ having a common side XZ. The vertex W and vertex Y are on opposite sides of the side XZ. The length of the side WX is 15 and the length of the side XZ is 11. Angle ZWX is congruent to angle WXZ and all the angles of the triangle YXZ are congruent.
Its 48
33+15
Step-by-step explanation:11+11+11+15= Perimeter
33+15 = Perimeter
48 = Perimeter
What is the area of the target that earns at least 30 points on a throw?
Select the correct from the drop-down menu.
The area of the target that earns at least 30 points on a throw is 379.94 square inches
How to determine the area?The target areas that earn at least 30 points on a throw are:
30-point, 40-point and 50-point
From the question, we have:
So, the total radius is:
r = 3 + 4 + 4
Evaluate the sum
r = 11
The area is then calculated as:
A = πr²
This gives
A = 3.14 * 11²
Evaluate
A = 379.94
Hence, the area of the target that earns at least 30 points on a throw is 379.94 square inches
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Answer:
49 square inches
Step-by-step explanation:
edmentum/ Plato hope this helps
A "golden rectangle” is a rectangle where the ratio of the longer side to the shorter side is the "golden ratio.” These rectangles are said to be visually pleasing. An example of a "golden rectangle” has a length equal to x units and a width equal to x – 1 units. Its area is 1 square unit. What is the length of this golden rectangle?
The length of the given golden rectangle is; 1.618 units
How to find the length of a golden triangle?We are told that, for the golden rectangle;
Length = x units,
Width = (x - 1) units,
Area = 1 unit².
The area of this rectangle will have the formula;
A = x(x - 1)
Thus;
x(x - 1) = 1
Expanding gives;
x² - x - 1 = 0
Using online quadratic equation calculator, we have;
x = 1.618 or -0.618.
Length has to be positive and so we choose x = 1.618
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