Answer: Assuming that the selection of the toll booth is a random and independent event, the probability that Mr. Espinoza chooses the middle toll booth on Monday is 1/5 (or 20%), since there are five total toll booths and the middle booth is one of those options. Similarly, the probability that he chooses the middle booth on Tuesday is also 1/5 (or 20%).
To find the probability that he chooses the middle booth on Monday and Tuesday, we can multiply the probabilities of each event.
Probability of selecting middle booth on Monday AND selecting middle booth on Tuesday = (1/5) * (1/5) = 1/25 = 0.04 or 4%
So, Mr. Espinoza will select the middle toll booth on Monday and Tuesday with a probability of 4%. This means that the chance that both events will happen is low and quite rare, but not impossible.
Step-by-step explanation:
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
x = 71/5 (as an improper fraction)
x = 14 1/5 (as a proper fraction
x = 14.2 (as a decimal)
Step-by-step explanation:
It's a rectangle so the diagonals are equal
7x - 9 = 2x + 62
Subtract 2x from both sides
5x - 9 = 62
Add 9 to both sides
5x = 71
Divide both sides by 5
x = 71/5 (as an improper fraction)
x = 14 1/5 (as a proper fraction
x = 14.2 (as a decimal)
Answer:
x= 14.2
Step-by-step explanation:
BD and and AC are equal so
7x-9 = 2x+62
isolate the variable means x = 14.2
first time I had to take out pencil and paper so I hope it's right
What evidence from Gilgamesh a new English version best supports the conclusion that Gilgamesh is an epic hero?
In "Gilgamesh: A New English Version," several pieces of evidence support the conclusion that Gilgamesh is an epic hero.
Gilgamesh is the king of Uruk: He is the main character of the story, and his actions and deeds are the focus of the epic. As a king, he holds a position of power and authority and is responsible for the well-being of his people.
Gilgamesh undertakes a quest: He embarks on a journey to find immortality after the death of his dear friend Enkidu. His quest takes him to the ends of the earth and shows his determination and courage.
Gilgamesh faces challenges and monsters: During his journey, Gilgamesh faces several challenges and monsters, such as the giant Humbaba and the Bull of Heaven. His bravery in overcoming these obstacles demonstrates his heroic qualities.
Gilgamesh has supernatural strength and abilities: He is two-thirds god and one-third man, which means he is gifted with supernatural strength, speed and endurance. He is able to perform deeds that would be impossible for a mortal.
Gilgamesh demonstrates wisdom and self-awareness: Throughout his journey, Gilgamesh comes to understand the limitations of human life and the importance of living a meaningful existence. He demonstrates wisdom and self-awareness which are the hallmark of a true epic hero.
These examples of Gilgamesh's character and actions support the conclusion that he is an epic hero and his story is an epic.
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im not sure how to answer thank you
The value of x in the triangle WXY is 27°
What is an equation?An equation shows how two or more numbers and variables are related to each other.
∠VWY + ∠XWY = 180° (sum of angle in straight line)
6x + ∠XWY = 180°
∠XWY = 180 - 6x
∠XYW + ∠ZYW = 180° (sum of angle in straight line)
∠XYW + 4x = 180°
∠XYW = 180 - 4x
∠XWY + ∠XYW + ∠YXW = 180° (angle in a triangle)
(180 - 6x) + (180 - 4x) + 90 = 180
450 - 10x = 180
10x = 270
x = 27°
The value of x is 27°
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What is the solution to 3(1-3x)=2(-4x+7)?
Answer:
x = -11
Step-by-step explanation:
3(1 - 3x) = 2(-4x + 7)
Distribute the 3.
(3 - 9x) = 2(-4x + 7)
Distribute the 2.
3 - 9x = -8x + 14
Add 8x to both sides.
3 - x = 14
Subtract 3 from both sides.
-x = 11
Multiply by -1.
x = -11.
Proof:
3(1 - 3x) = 2(-4x + 7)
3(1 - 3(-11)) = 2(-4(-11) + 7)
3(1 + 33) = 2(44 + 7)
3(34) = 2(51)
102 = 102
test form 1a answers 6th grade three times Geoff's age plus 3 is myrkas age. myrka is 48. what is Geoff's age
Geoff is therefore 15 years old.Rearranging terms in an equation to get the solution is known as "solving by rearranging.
What does a math reshuffle mean?Rearranging terms in an equation to get the solution is known as "solving by rearranging." Keep these guidelines in mind when solving by rearranging: To shift terms from one side to the other, do the reverse operation.Rearranging terms in an equation to get the solution is known as "solving by rearranging." Keep these guidelines in mind when solving by rearranging: To shift terms from one side to the other, do the reverse operation.Geoff is therefore 15 years old.Rearranging terms in an equation to get the solution is known as "solving by rearranging.Age of Myrka = 3x + Age of Geoff
3x + 3 = 48
3x = 48 - 3
3x = 45 x = 15
Geoff is therefore 15 years old.
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An aerospace engineer is designing a model of a portion of a new telescope, a cylinder with a cone cut-out as shown below. What is the total volume of the materials used to make the new telescope piece?
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the required figure is not attached to the question.
From the question, we can deduce that the telescope is a composite figure made from a cone and a cylinder.
To get the volume of the materials used, you have to calculate the volume of the cone and that of the cylinder.
The sum of these volumes, is your answer.
Assume the following dimensions:
Cone
[tex]r = 5\\[/tex] --- radius
[tex]h = 7[/tex] --- height
Cylinder
[tex]r = 5\\[/tex] --- radius
[tex]h = 20[/tex] --- height
The volume of the cone is:
[tex]Volume = \frac{1}{3} \pi r^2h[/tex]
[tex]V_1= \frac{1}{3} \pi *5^2*7[/tex]
[tex]V_1= \frac{1}{3} \pi *25*7[/tex]
[tex]V_1= \frac{175}{3} \pi[/tex]
The volume of the cylinder is:
[tex]Volume = \pi r^2h[/tex]
[tex]V_2 = \pi * 5^2 * 20[/tex]
[tex]V_2 = \pi * 25* 20[/tex]
[tex]V_2 = 500\pi[/tex]
The total is:
[tex]Volume = V_1 + V_2[/tex]
[tex]Volume = \frac{175\pi}{3} + 500\pi[/tex]
Take LCM
[tex]Volume = \frac{175\pi+1500\pi}{3}[/tex]
[tex]Volume = \frac{1675\pi}{3}[/tex]
Lois is saving $11.00 out of her $32.00 allowance each week for a
scooter. She must divide the rest between her savings account, a
charity of her choice, and her college fund. Lois gives $10.00 per week
to a local charity. She puts the same amount in her saings account as
her college fund. How much does Lois put in her college fund each
week?
Answer:
the answer is $5.50
Step-by-step explanation:
32 total
10+11=21
32-21=11
so 11 left for college and saving account
now divide it with 2 so both gets same amount
11/2=5.50
Tell whether (0, -1) is a
is a solution of the inequality whose graph is shown.
Answer:
No, the point isn't in the shaded area
Step-by-step explanation:
The following dotplot shows the centuries during which the 111111 castles whose ruins remain in Somerset, England were constructed. Each dot represents a different castle. According to the 1.5.IQR rule for outliers, how many high outliers are there in the data set?
The conclusion which we get after analyzing the data given is that there aren't outliers in the displayed data set.
We will calculate the interquartile range and us the rule 1.5 .
The formula to calculate interquartile range is to subtract the value of first quartile by the value of second quartile.
IQR = Q3 - Q1
Therefore, interquartile range becomes,
IQR = 17 - 13
IQR = 4
Now , we will apply rule 1.5 and for that we will multiply 4 by 1.5 first
4 * 1.5 = 6
and then,
17 + 6 = 23
on applying the rue we will get ,
13 - 6 = 7 .
This value means that there is no outlier in the displayed data set.
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if two lines in a plane intersect then they are not parallel true or false
Answer:
true because parallel means lines that doesnt meet
Answer:true, parallel line never intersect, I hope this helps!!
Cute cat btw<3
The point A (1,1) and the point B(5,-1) lie on the line L. Find the equation of the line L
can someone pls help
Question 2 of 5
Simplify.
(m3)6 +m18
A. m4
B. 1
C. m
D. m-9
SUBMIT
Using the first index law, the solution provided indicates that this has a value of 1.
What is the first index law?X to the power of A multiplied by X to a power of B results in X to the power of A + B, according to the first law of indices. Keep in mind that adding the indices when multiplying terms with them means that the base must remain constant throughout.
What exactly is index theory?A topological invariant of a certain class of differential operations on a manifold is studied in index theory, as well as the invariant's local formula in terms of the manifold's geometry. inspirational cases. operator elliptic The index theorem by Atiyah-Singer.
According to the given information:(m³)⁶/m¹⁸ = m³ˣ⁸/m¹⁸
= m¹⁸/m¹⁸
= 1
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1/4 - 7/1 (pls i nee answer)
Answer:3/4 is the answer
Step-by-step explanation:
Answer:(s)
1/4 - 7/1 = - 27/4
Decimal: - 6.75
Mixed number: - 6 3/4
Step-by-step explanation:
1/4 - 7/1 = - 27/4 or - 6.75 or - 6 3/4
LCM: 4, 1 = 4
Adjust Fraction Based On LCM:
1/4 - 28/4
Apply The Fraction Rule:
a/c - b/c = a - b/c
1 - 28/4
Subtract the numbers:
1 - 28 = - 27
= -27/4
Apply Fraction Rule:
- a/b = - a/b
Thus:
1/4 - 7/1 = - 27/4
Decimal: - 6.75
Mixed Number Form - 6 3/4
I hope that helps you!!!
The surface area of this regular pyramid is 1040 cm2. The base is a regular pentagon with side b = 16 cm and slant height l =15 cm. Find its apothem (a).
show work please. i will give brainliest ! :)
Answer:
(a) = 11 cm
Step-by-step explanation:
The formula for finding the surface area of a regular pyramid is B + (1/2*P*l), with B being the area of the base, p being the perimeter of the base, and l being the slant of the pyramid.
The area of a pentagon can be solved using the formula 1/2*a*p, with a being the apothem and p being the perimeter of the pentagon.
B + (1/2*80*15) = 1040B + 600 = 10401040 - 600 = 440 (440 is the area of pentagon)1/2*a*(16*5) = 44040*a = 440440/40 = 11The apothem is 11 cm. Hope this helps!
Remember, adjectives in Spanish agree with the gender of the noun they describe.
Por ejemplo: el chico ordenado / la chica artística
Answer:
1) A serious girl - Una chica seria/Una joven seria
2) The talented boy - El chico talentoso/El joven talentoso
3) An outgoing girl - Una chica extrovertida/Una joven extrovertida
4) The tasty ice cream - El helado delicioso/El helado sabroso
5) A funny book - Un libro divertido/Un libro entretenido
Step-by-step explanation:
Now, we present a possible set of solution, as there are solutions as many synonyms exist in Spanish. Then:
1) A serious girl - Una chica seria/Una joven seria
2) The talented boy - El chico talentoso/El joven talentoso
3) An outgoing girl - Una chica extrovertida/Una joven extrovertida
4) The tasty ice cream - El helado delicioso/El helado sabroso
5) A funny book - Un libro divertido/Un libro entretenido
a small ior shows the data is
Answer:
Don't have enough infromation to answer that.
Step-by-step explanation:
36-x=-36 what's the answer to It
Answer:
x = 72
Step-by-step explanation:
36 - x = -36
*subtract 36 from both sides*
-x = -72
*divide by -1*
x = 72
Answer:
0 is the answer of the equation
1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9
2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)
3. -2 \leq -2 Subtract 6 from both sides, then 8, and then 2
4. -4 < 8 Divide both sides by -4, then by -2
5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
Given few inequalities and some operations are performed on them
For first inequality:
=> 4 < 7
Multiply both sides by 3, then by 2, then by 4, then by 9
=> 4 *3 * 2 * 4 * 9 < 7 *3 * 2 * 4 * 9
=> 864 < 1512
there is no change in the inequality sign and it is still true.
For the second inequality:
=>11 > -2
Add 3 to both sides, then add 3, then add (-4)
=> 11 +3 + 3 + (-4) > -2 + 3+3 + (-4)
=> 13 > 0
there is no change in the inequality sign and it is still true.
For the third inequality:
=> -2 ≤ -2
Subtract 6 from both sides, then 8, and then 2
=> -2 -6 -8 -2 ≤ -2 -6 -8 -2
=> -18 ≤ -18
there is no change in the inequality sign and it is still true.
For the fourth inequality:
=> -4 < 8
Divide both sides by -4
=> -4 / -4 < 8 / -4
Since, after dividing or multiplying on both sides by a negative sign, inequality changes its sign
=> 1 > -2
Divide both sides by -2
=> -1/2 < 1
there are two times a change in the inequality sign and it is still true.
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The value of πPhone stock has increased 9% each year for the past several years. In 2020, the stock was worth $75. What will the stock be worth in 7 years? What was the stock worth in 2016?
Answer:
2027 = $122.25
2016 = $48
Step-by-step explanation:
Find 1% of 75
75 / 100 = 0.75
multiply by 9
0.75 * 9 = 6.75
So that's $6.75 each year
Now, lets find our answers for 7 years.
6.75 * 7 = $47.25
75 + 47.25 = $122.25
The stock will be $122.25 in 2027
Now for 2016.
$6.75 * 4 = $27
$75 - $27 = $48
The stock was $48 in 2016
Ans the question...... very urgent
Answer:
The solution should be log7^3(49)-1/3log7(49)=1/3*2
B-2/3
please help due next hour this is one of my answer I'm struggling with Show WORK please. No links
x/2 = -1
please help I need it
x/2 = -1
=> x = -1 × 2
=> x = -2
What is the product of 2x 3y )( 2x 3y )? *?
The product of (2x-3y)(2x+3y) is 4x^2-9y^2
Product= (2x-3y)(2x+3y)
Let the product of (2x-3y)(2x+3y) be P
P=2x(2x+3y)-3y(2x+3y)
P= 2x(2x)+2x(3y)-3y(2x)-3y(3y) {using distributive property of multiplication}
This property states that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together. The multiplication of (a-b)(a+b) is equal to a^2 - b^2. This result is used as an identity.
P= 4x^2 +6xy - 6xy -9y^2
solving 6xy-6xy=0
P= 4x^2 - 9y^2
4x^2-9y^2 is the product of (2x-3y)(2x+3y).
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Type the correct answer in each box. The coordinates of the point that corresponds to an angle of radians in the unit circle are (, ).
On solving the provided question, we can say that coordinates of the point in the unit circle S = ( cos [tex]3\pi /2[/tex] , sin [tex]3\pi /2[/tex] ) => S= ( 0 , -1 )
What is circle?Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. At every angle, it is also rotationally symmetric about the center. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.
S = (0, -1 )
coordinates of the point in the unit circle
S = ( cos [tex]3\pi /2[/tex] , sin [tex]3\pi /2[/tex] )
S= ( 0 , -1 )
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Determine the value of c for each figure
Answer:
can you tell me a little bit more?
9. Which equation is represented by the table?
X
0
1
2.
3
у
40
20
10
5
a. 40(2)^x
b. 40(1/2)^x
NO LINKS HELP During a sale, a store owner offers a discount depending on how much money a customer spends. The function p(x) represents the total amount owed by a customer during the sale when purchasing items totaling a value of x dollars.
How much does a customer owe for items with a total value of $140, in dollars and cents?
9514 1404 393
Answer:
$125
Step-by-step explanation:
For x = 140, the function definition for x ≥ 100 is used.
p(140) = 95 +0.75(140 -100) = 95 +30 = 125
The customer will owe $125 for items with a value of $140.
x < 5 and x + 2y ≥ 1
Answer:
-1
Step-by-step explanation:
look at the screenshot.....
Answer:
the total surface area is 360 cm
Step-by-step explanation:
Is 8 15 17 a right triangle?
No, the sides of a right triangle do not include 8, 15, and 17. The sides of a right triangle must follow the Pythagorean theorem, so the sum of the squares of the two shorter sides must equal the square of the longest side. 8² + 15² does not equal 1
8² + 15² = 64 + 225 = 289
17² = 289
Therefore, 8, 15, and 17 are not the sides of a right triangle.
The Pythagorean theorem is an important mathematical concept used to determine if three numbers form the sides of a right triangle. This theorem states that the sum of the squares of the two shorter sides must equal the square of the longest side. In the case of 8, 15, and 17, 8² + 15² does not equal 17², so it is not a right triangle. To test this, we can calculate 8² + 15² = 289, and then 17² = 289. Since the two values are not equal, we can conclude that 8, 15, and 17 are not the sides of a right triangle.
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