Answer: 1/67600
Step-by-step explanation:
probability that the code is 43MZ:
Probability = (Total Required outcome / total possible outcomes)
Possible outcomes (digit) = (00,.............. ..., 99)
2.) possible outcomes (alphabet) = (A, B,............... .., Z)
P(43MZ) = P(43) × P(M) × P(Z)
P(43) = 1/100
P(M) = 1/26
P(Z) = 1/26
THEREFORE ;
P(43MZ) = (1/100) × (1/26) × (1/26) = 1/67600
Sandra's sister's car can travel 12.5 more miles on a gallon of gas than Sandra's truck can. If Sandra's truck will use one gallon to drive 25 miles, what is the rate of change that represents Jenny's mileage rate? Remember to think of rate as gallons used per mile.
Answer: R = 37.5 miles per gallon.
Step-by-step explanation:
Sandras truck need one gallon to drive 25 miles, then the rate of Sandra's truck is 25 miles per gallon.
Her sister's car can travel 12.5 more miles with one gallon, so the car travels
25mi + 12.5mi = 37.5 miles with one gallon, the rate is
R = 37.5 miles per gallon.
Now, with that number you can multiply the amount of gallons that you have and you will obtain the total amount of miles that you can travel with that amount of gallons.
Quincy folds a piece of cardboard to make the three sides of a triangular prism open at top and bottom. The triangle prism and the piece of cardboard that he used are show below. What is the area of the piece of cardboard?
This question is incomplete because it lacks the attached diagram.
Find attached to this answer the appropriate diagram
Answer:
500 square centimeters
Step-by-step explanation:
From the question above, we are told that the top and bottom of the triangular prism is open.
Hence, the area of the piece of the cardboard is = Lateral Surface Area of the triangular prism
The formula for Lateral Surface Area of a Triangular Prism = Perimeter of the Triangular prism × Height of the Triangular prism.
Perimeter of the Triangular prism = Side a + Side b + Side c
Where Side a = 9cm
Side b = 9cm
Side c = 7 cm
Perimeter of the Triangular prism = 9cm + 9cm + 7cm
= 25cm
Height of the Triangular prism = 20cm
The Lateral Surface Area of the Triangular prism = 25cm × 20cm
= 500cm² or 500 square centimeters.
Since we are told that Lateral Surface Area = Area of the cardboard,
The Area of the cardboard = 500 cm² or 500 square centimeters.
The pot has a diameter of 10 inches a height of 12 inches. there are 120 meatballs each meatball is 2.4 inches. the sauce takes up half the pot already. determine if the sauce overflows or not. pls help its due in an hour! ):
the answer is c
Step-by-step explanation:
The volume of a rectangular prism is 288 ft3. If its height is 6 feet and its length is 8 feet, what is its width?
a. 6 feet
b. 8 feet
c. 9 feet
d. 12 feet
Answer:
6 ft
Step-by-step explanation:
Volume = (height) (width) (length), so
(width) = (volume) / [ (height) * (length) ]
Here, the width is:
(width) = (288 ft^3) / [ (6 ft) * (8 ft ) ] = 288/48 ft = 6 ft
The width of the rectangular prism is 6 ft
Use the Quadratic Formula to solve 2x^2=5x=6. Leave your answer in radical form. Show all work!
Answer:
[tex]x=\frac{-5+-i\sqrt{23} }{4}[/tex]
Step-by-step explanation
The quadratic formula is [tex]x=-\frac{-b+-\sqrt{bx^{2 -4ac} } }{2a}[/tex]
Answer:
-5 ± sqrt(73))
----------------------------
4
Step-by-step explanation:
2x^2 +5x =6
Subtract 6 from each side
2x^2 +5x -6 =0
This is in the form
ax^2 +bx+c where a=2 b=5 and c=-6
The quadratic is -b ± sqrt(b^2 -4ac)
----------------------------
2a
-5 ± sqrt(5^2 -4(2)(-6))
----------------------------
2(2)
-5 ±sqrt(25 +48))
----------------------------
4
-5 ± sqrt(73))
----------------------------
4
please please answer these five questions !!!!!!!!!
Answer: 1. V≈603.19
2. V≈103.67
3. V≈513.13
Step-by-step explanation: i only know those sorry :(
Which expressions are equivalent to - f - 5(2f – 3)?
Choose all answers that apply:
-11f-3
- 11f + 15
None of the above
Answer:
- 11f + 15
Step-by-step explanation:
- f - 5(2f - 3)
= - f - 10f + 15
= - 11f + 15
The partial pressure of carbon dioxide in a mixture is 0.31 atm.
If the mole fraction of the carbon dioxide is 0.46, what is the
total pressure of the mixture?
Answer:
[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]
Where [tex] P_{tot}[/tex] represent the total pressure and [tex]X_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:
[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]
And replacing we got:
[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]
Step-by-step explanation:
For this case the partial presure of carbon dioxide is given by:
[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]
Where [tex] P_{tot}[/tex] represent the total pressure and [tex]x_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:
[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]
And replacing we got:
[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]
Sandra is asked to report on the recent increase in popularity of an application based on the number
of times it is downloaded. Which best describes how Sandra should report this information?
downloads per day
total number of days with downloads
downloads per person
total number of downloads
Answer:
Step-by-step explanation:
Report the number of downloads per day. By determining how this number is changing / increasing it will be possible to spot and describe an upward trend if there is one.
Find the indicated sum for each geometric series.
S6 for 2 + 1 + 12 + 14
Answer:435
Step-by-step explanation:
5. Jack and Jill use rain gauges that are the same size and shape to measure rain on top of a hill. Jack
uses a rain gauge marked in fourths of an inch. Jill's gauge measures rain in eighths of an inch. On
Thursday, Jack's gauge measured inches of rain. Jill and Jack both had the same amount of water,
so what was the reading on Jill's gauge on Thursday? Draw a number line and write a sentence to
explain your thinking.
Answer:
List the multiples
1/4,2/4,3/4,4/4
1/8,2/8,3/8,4/8,5/8,6/8,7/8,8/8
1/4=2/8
2/4=4/8
4/4=8/8
Those numbers are the common fractions so they would be the only fractions that both Jack and Jill could get.
Step-by-step explanation:
What is the value of x in the equation 3-2x=-1.5x?
оооо
-6
Answer:
x=6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = 6
Step-by-step explanation:
In this equation, we are told to solve for the value of x. Thus, we must isolate the variable x (poor x... we're always trying to isolate it).
3 - 2x = -1.5x
(I'm going to swap sides to make it easier for me to solve. This doesn't change anything mathematically due to the associative laws. It's purely cosmetic.)
-1.5x = 3 - 2x
First, we can add 2x to both sides of the equation to get all algebraic expressions containing the variable x on one side of the equation alone.
0.5x = 3
For our next part here, let's convert 0.5 to a fraction to make life easier for us.
[tex]\frac{1}{2}[/tex]x = 3
When isolating x in this, we are trying to get rid of 1/2. How can we do this? We can multiply is by 2!
[tex]\frac{1}{2}[/tex]x · [tex]\frac{2}{1}[/tex] = 1x (or simply x)
What we do to one side we must do to another.
x = 3 · 2
x = 6
Our answer is x = 6. Woo!
ASSIGNMEN
Solve the following linear system of equations using substitution.
y = 3x - 5
y = 2x - 6
O (3, 2)
0 (-5, -6)
(-1,-8)
(1, -2)
DONE
Answer:
(-1,-8)
Step-by-step explanation:
You leave school and walk 1.237 miles west. Your friend leaves school and walks 0.56 miles east. How far apart are you and your friend? Justify your answer.
Answer:
You and your friend are 1.797 miles apart. Since east and west are opposite directions, we just add the distances.
Step-by-step explanation:
They are walking on opposite directions, so to see how far apart, we add how much each of you walked.
We have that:
You walk 1.237 miles west.
He walks 0.56 miles.
1.237 + 0.56 = 1.797.
You and your friend are 1.797 miles apart. Since east and west are opposite directions, we just add the distances.
Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes. The water continues to flow at the same rate. Which equation can be used to represent the number of gallons, y, that flow through the faucet in x
Answer:
y=5/3x
Step-by-step explanation:
The equation can be used to represent y = (5/3)x.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given that Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes.
Since the water continues to flow at the same rate.
Using represent the number of gallons, y, that flow through the faucet in x
In 3 minutes, 5 gallons of water come out of a faucet.
So the equation can be used to represent y = (5/3)x
Learn more about the equation here:
brainly.com/question/10413253
#SPJ6
The perimeter of a rectangle is 19 centimeters. Its length is 6 centimeters. What is its width?
Answer:
3.5 cm
Step-by-step explanation:
Perimeter of rectangle = 2 × (w + h)
w = width
h = height
We have: 2 x (w + 6) = 19
w + 6 = 19 : 2 = 9.5
w = 9.5 - 6 = 3.5 (cm)
Pythagorean theorem
a^2 + b^2 = c^2
X= ?
[tex]\text{Find the one bottom side of the triangle first}\\\\\text{We know that the total length is 21, but part of it is 11, so subtract}\\\\21-11=10\\\\\text{Divide 10 by 2 because there are two sides for two triangles}\\\\10\div2=5\\\\\text{Now, since we know two of the sides, we would plug in the values}\\\text{into the Pythagorean theorem and solve:}\\\\5^2+b^2=13^2\\\\25+b^2=169\\\\\text{Subtract 25 from both sides}\\\\b^2=144\\\\[/tex]
[tex]\text{Square root both sides}\\\\\sqrt{b^2}=\sqrt{144}\\\\b=12\\\\\text{This means that x = 12}\\\\\boxed{x=12}[/tex]
Expand. Your answer should be a polynomial in standard form. (x-4)(x-6)
Answer:
x2+10x+24
Step-by-step explanation:
The expanded expression in standard form is: [tex]x^2 - 10x + 24[/tex]
To expand the expression (x - 4)(x - 6), you can use the distributive property to multiply each term in the first parentheses by each term in the second parentheses. Let's do that step by step:
(x - 4)(x - 6)
Step 1: Multiply x from the first parentheses by both terms in the second parentheses:
[tex]x * x = x^2\\x * -6 = -6x[/tex]
Step 2: Multiply -4 from the first parentheses by both terms in the second parentheses:
-4 * x = -4x
-4 * -6 = 24
Now, put everything together: (x - 4)(x - 6) = [tex]x^2 - 6x - 4x + 24[/tex]
Combine like terms: [tex]x^2 - 10x + 24[/tex]
So, the expanded expression in standard form is:
[tex]x^2 - 10x + 24[/tex]
To know more about standard form here
https://brainly.com/question/19169731
#SPJ2
Solve the quadratic by factoring.
x2 - 4x = -4x + 4
Answer:
x=2 or x=-2
Step-by-step explanation:
ax^2+bx+c=0
first we rearrange this equation so we get x^2+(-4+4)x-4=0 so its x^2-4=0 so that means b=0 now we should find two numbers that when we multiply them we get c and when we subtract them we get b so that two numbers are 2 and -2
Find the volume of the prism.
36 m
3 m
5 m
Answer:=40m
Step-by-step explanation: 36m+3m+5m
Answer:
540m
Step-by-step explanation:
Need help! Up to 100 points
Link or something. It's has been a nightmare with these questions...
Answer:
Part B
Part 1 describes a quartic function that's been reflected over the x-axis and translated up and to the right. (It's quartic because it has those bumps; it's like a quadratic in that its end behavior is down-down, but it has more bumps than a quadratic.)Part 2 describes an exponential decay function that approaches a horizontal asymptote. (This one looks just like Part 3 in the previous graph.)Part C
You're going to have to do this scatter plot on your own with the given software, because I don't know how your software works, but I can tell you that #1 will look like a quadratic, #2 a cubic, #3 a quartic, #4 a really fun third root that looks like a cubic on the y-axis instead of the x-axis.
Part D
You can look on Worldometer for graphs of the coronavirus; they have graphs in every individual country. I advise using the total cases on a logarithmic scale, because the question specified that it can't be linear.
Let a be a rational number and b be an irrational number. Is a + b rational or irrational?
Answer:
irrational
Step-by-step explanation:
because an irrational number goes on forever so no matter what number is added to it it will always be irrational.
Answer:
Rational
Step-by-step explanation:
write an equation that represents the points (2,6)(0,3) but a linear kind of an equation in any form
Answer:
y=[tex]\frac{3}{2} x+3[/tex]
Step-by-step explanation:
If t = 24 cm and r = 25 cm, what is the length of s?
Answer:
24.5
Step-by-step explanation:
middle
Answer:
7cm
Step-by-step explanation:
concrete is poured to create a slab in the shape of a rectangular prisim the slab is 50 yards long 1.5 yards wide and 0.25 yard stick how many cubic squares of concrete are needed to create slab
Answer:
18.75 cubic yards
Step-by-step explanation:
Multiply the length width and height by each other.
50 x 1.5 x 0.25 = 18.75
Answer:
18.75 yards³
Step-by-step explanation:
To solve this, we can solve for the volume of the rectangular prism by using the formula: [tex]V= l*w*h[/tex]
We can plug in the values, giving us:
V= 50×1.5×0.25= 18.75 yards³
Steve has 2 and one half cups of flour for one of his recipes requires one 8th cup of flour, what is the maximum number of times Steve can complete the recipe.
Answer:
20 times
Step-by-step explanation:
We know that the recipe requires an eighth of a cup of flour (1/8 or 0.125) but in total Steve has 2 and a half, that is (2 1/2 or 2.5). To know the result we must divide the total amount by what is needed for 1 recipe, that is:
2.5 / 0.125 = 20
Which means that Steve with the flour he has can make the same recipe a total of 20 times
Answer: the answer is 20
Step-by-step explanation:
How far can light travel in 1 year? Remember there are 3.15576 x 10^7 seconds in a single year.
Answer: [tex]9.465\times 10^{15}\ m[/tex]
Step-by-step explanation:
Given
Seconds in a year is [tex]3.155\times 10^7[/tex]
We know
[tex]Distance=speed\times time [/tex]
Speed of light in vacuum is [tex]3\times 10^8\ m/s[/tex]
So distance traveled [tex]=3\times 10^8\times 3.155\times 10^7[/tex]
[tex]distance=9.465\times 10^{15}\ m[/tex]
what expression is equivalent to 3x - (2x+4) + 5
Answer:
x+1
if it helps let me know by voting
Step-by-step explanation:
Answer:
3x+(-2x-4)+5 would be one of plenty other possibilities, it would help if we knew what x was equal to
Step-by-step explanation:
Select all the equations where =3 is a solution.
Choose 2 answers
Help?
Answer:
A and C
Step-by-step explanation:
Write the ratio of the first measurement to the second measurement. Compare in millimeters. Diameter of ball A: 44 mm diameter of ball B: 7.2 cm The ratio of the diameter of ball A to the diameter of ball B is
Answer:
11:18
Step-by-step explanation:
Here, we are interested in calculating the ratio of diameter of ball A to that of ball B
what to do here is to ensure that both diameters have measurements that are same units.
Thus, mathematically;
44 mm to 7.2cm
But, mathematically;
10 mm = 1 cm
Thus 7.2cm = 7.2 * 10 = 72mm
Thus, our ratio becomes;
44:72
divide through be 4, we have
44/4 : 72/4
= 11 : 18
Answer:
11:19
Step-by-step explanation:
