The number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter is 26×31⁷.
What is Combination?The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.
[tex]^nC_r = \dfrac{n!}{r!(n-r)!}[/tex]
where,
n is the number of choices available,
r is the choices to be made.
As it is given that the password can only be made with letters or numbers, and we know that there are only 26 letters and there are 10 numbers, therefore, the total option available is 36.
Also, it is given that the first letter of the password can only be made with letters, therefore, there are only 26 options available for the first place in the password.
The number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter,
[tex]= ^{26}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \\\\= 26 \times 31\times 31\times 31\times 31\times 31\times 31\times 31\\\\= 26 \times 31^7[/tex]
Hence, the number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter is 26×31⁷.
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Answer:
B. 26 times 36 superscript 7
Step-by-step explanation:
its the right answer
A solid's volume is 10 cubic inches. The solid is dilated by a scale factor of 3.5. Kiran says, "I calculated the volume of the image as 35 cubic inches, but I don't think that's right."
A. What might Kiran have done wrong?
B. What is the volume of the image
Answer:
she forgot the exponent on 3.5^3
Step-by-step explanation:
10 x 3.5^3 = 428.7428.75 u^3
The term "dilation" refers to a transformation. The volume of the dilated cube is 428.75 in³.
What is dilation?The term "dilation" refers to a transformation that is used to downsize an item. Dilation is a technique for making items appear bigger or smaller. The picture produced by this transformation is identical to the original shape.
As it is given that the volume of the cube is 10 cubic inches, therefore, the side of the cube is,
[tex]\text{Volume of the cube} = a^3\\\\ 10 = a^3\\\\a =\sqrt[3]{10}[/tex]
Now, we know that dilation always applies to dimensions, therefore the new dimension of the dilated cube will be,
[tex]\text{Side of the dilated cube} = \sqrt[3]{10} \times 3.5\rm\ in[/tex]
Further, the volume of the dilated cube can be written as,
[tex]\rm \text{Volume of the Dilated cube} = Side^3\\\\[/tex]
[tex]= (\sqrt[3]{10} \times 3.5)^3\\\\ = (\sqrt[3]{10})^3 \times (3.5^3)\\\\= 10 \times 3.5^3\\\\= 10 \times 42.875\\\\= 428.75\rm\ in^3[/tex]
A.) The mistake that Kiran made is that she didn't take the cube of the scale factor.
B.) The volume of the dilated cube is 428.75 in³.
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A 10-ft vertical post casts a 126-in shadow at the same time a nearby cell phone tower casts a -ft shadow. How tall is the cell phone tower?
Answer: 10 feet post-1.167 ft shadow
119 feet shadow
Step-by-step explanation: brainliest pls
If a 4-gallon punch recipe calls for 6 1/8 cups of sugar, about how many cups of sugar are needed for 1 gallon of punch? About _____ cups of sugar.
Answer:
approximately 1 1/2 cups of sugar
Step-by-step explanation:
6 1/2 divided by the 4 gallons is the easiest way to get your answer
A cylindrical metal pipe has external diameter of 6cm and internal diameter of 4cm. Calculate the volume of metal in a pipe of length 1 meter. If 1cm^3 of the metal has a mass of 8 grams, find the mass of the pipe.
Answer:
volume is 1570 cm³
mass is 12560 g
Step-by-step explanation:
1m = 100 cm
the volume is :
1/4 x [tex]\pi[/tex] x 6² x 100 - 1/4 x [tex]\pi[/tex] x 4² x 100
= 900 [tex]\pi[/tex] - 400 [tex]\pi[/tex] { v = 1/4 [tex]\pi[/tex] d²h }
= 500 [tex]\pi[/tex]
= 500 x 3.14
= 1570 cm³
the mass of the pipe is:
1570 x 8 = 12560 grams
50 points HELLP!!!!!!!!!!!!!!!!!!!
Answer:
-(8,-1)
Step-by-step explanation:
Answer:
c. -8,-1
Step-by-step explanation:
Hope this helps.
~Learning with Natalia~
50 points helppppppppppppppppppppppppppppppppppppppppppppppp i need it fast
Answer:
a) 15.625 cm²
b) 8 cm²
c) 50 cm²
d) 12 cm²
Step-by-step explanation:
a) area of a parallelogram = base x height
⇒ area of yellow shape = 1/2 x base x height
= 1/2 x 12.5 x 2.5
= 15.625 cm²
b) area of triangle = 1/2 x base x height
= 1/2 x 2 x 8
= 8 cm²
c) area of a parallelogram = base x height
area yellow parallelogram = (10 x 6) - (5 x 2) = 50 cm²
d) area of a parallelogram = base x height
⇒ area of a 1/2 parallelogram = 1/2 x base x height
⇒ area yellow shape = 1/2 x 12 x 2 = 12 cm²
please help me with this
50 POINTS only answer if u know 100% Evaluate the expression 3.14(a^2 + ab) when a = 3 and b = 4.
Answer: 65.94
Step-by-step explanation:
A store pays a 5% commission on the first $300 of a sale. If the sale is
greater than $300, the store pays a 9% commission on the amount
above $300. Which is the commission on a $900 sale?
Answer:
$69
Step-by-step explanation:
First, we want to focus on the first $300
Multiply 300 by 0.05 to get the commission
300 x 0.05 = 15
Now, we solve for the first 300, let's solve for the remaining sales, which is 600 because 900 - 300 = 600
Multiply 600 by 0.09
600 x 0.09 = 54
Add the two sales commission numbers together
15 + 54 = 69
heeeeeeeeeeeeeeeeeeeeeeeeeeelp100point
Answer:
2nd choice
Step-by-step explanation:
hope this helps
What is the value of x in the figure?
Enter your answer in the box.
X
610
x=
1
Answer:
they are right!!!!!!!
Answer:
figure????
X
610
x=
1
find the volume of the square pyramid
To find the volume of square pyramid, We use the formula that given below.
[tex] {x}^{2} \times \frac{y}{3} [/tex]
where x is base and y is height. So, let's substitute the values.
[tex] {10}^{2} \times \frac{18}{3} [/tex]
It gives
[tex]600 {cm}^{3} [/tex]
ㅤㅤㅤ~Volume of the given square pyramid is 600cm³
ㅤ
Ⲋⲟⳑⳙⲧⳕⲟⲛ :Volume of square pyramid is given by:
[tex] \qquad\maltese\quad{\pmb{ \sf { V = \dfrac{1}{3} ( base\:area)\times height}}}[/tex]
Here, we have:
Height= 18 cmBase length = 10 cmArea of square = side × side Ⲧⲏⲉⲅⲉ⳨ⲟⲅⲉ,[tex] \quad\dashrightarrow\quad \sf {V = \dfrac{1}{3}\times 10\times 10\times 18 }[/tex]
[tex] \quad \dashrightarrow \quad \sf {V =\cancel{\dfrac{1800}{3} } }[/tex]
[tex] \quad \dashrightarrow \quad \sf {V = 600cm^3 }[/tex]
ㅤㅤㅤㅤㅤㅤ~Hence, the volume of given square pyramid is 600cm³.
[tex] \rule{350pt}{1pt}[/tex]
List a typical value for each distribution. Explain how you found the answer.
Answer:
I believe the answer is IQR
Step-by-step explanation:
Imagine it’s the summer before you start high school. You’re trying to figure out what to wear for that important first day of school. What should you do with your hair? What shoes should you wear? Write a 100-word letter to a friend—real or imaginary—who’s already in high school and explain your problem. Ask your friend if he or she has any advice for you.
Imagine it’s the summer before you start high school. You’re trying to figure out what to wear for that important first day of school. What should you do with your hair? What shoes should you wear? Write a 100-word letter to a friend—real or imaginary—who’s already in high school and explain your problem. Ask your friend if he or she has any advice for you.
[tex]Dear[/tex] [tex]friend,[/tex]
Aren't you so excited? This fall is when we get into HIGH-SCHOOL! But I have a problem. I need to know what I should wear for the first day! And my hair! Do you have any advice for me, friend? Can you send this letter back with advice, please? Thank you very, very much!
[tex]Sincerely,[/tex]
[tex]Jane[/tex]
help please first correct answer gets brainleist
Answer:
[tex]\sf 4\frac{2}{5}[/tex]
steps to solve:
[tex]\sf 2\frac{3}{4} \ / \ \frac{5}{8}[/tex]
[tex]\sf \frac{11}{4} \ / \ \frac{5}{8}[/tex]
[tex]\sf \frac{11}{4} \ * \ \frac{8}{5}[/tex]
[tex]\sf \frac{88}{20}[/tex]
[tex]\sf \frac{22}{5}[/tex]
[tex]\sf 4\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]\sf{\implies\frac{11}{4} \div \frac{5}{8} } \\ \sf{\implies \frac{11}{4} \times \frac{8}{5} } \\ \sf{\implies \frac{22}{5} }[/tex]
2 3/4 =11/4
£150 is invested at 5% compound interest for 2 years. How much will be in the account at the end of the investment?
Answer:
165
Step-by-step explanation:
5% of 150 british pounds = 7.5 British pounds
2 years = 7.5 BS per year
7.5 + 7.5
= 15 british pounds
15 british pounds + 150 british pounds =
165 british pounds
what is the bottom answers?
Based on the graph, how many distinct real number solutions does the equation x3 – 3x2 4 = 0 have? no real number solution one real number solution two real number solutions three real number solutions.
Answer:two real number solutions
Step-by-step explanation:
An urn contains 4 purple marbles and 3 pink marbles. Two marbles are drawn at random. What is the probability that both marbles are purple
if drawn with replacement?
Answer: 16/49
Step-by-step explanation:
The probability of pulling a purple marble is 4/7, since 4+3 is 7.
Since the marbles are replaced, the probability does not change when pulling out marbles.
To combine probabilities, we multiply them
[tex]\frac{4}{7} * \frac{4}{7} = \frac{16}{49}[/tex]
Step-by-step explanations
possibility=4+3=7
4/7=4/7
Given that there are 3 feet or 36 inches in 1 yard, which of the following amounts is greater than 4 yards? Select all that apply.
A) 15 feet
B) 150 inches
C) 3 yards, 4 feet
D) 3 feet, 15 inches
E) 10 feet, 11 inches
Answer:
A B and C are correct
Step-by-step explanation:
4 yards = 12 feet = 12x12 = 144 inches
A is correct since 15 feet > 12 feet
B is correct since 150 inches > 144 inches
C is correct since 3 yards + 4 feet = 4 yards and 1 foot > 4 yards
D is incorrect since 3 feet + 15 inches is 4 feet and 3 inches < 12 feet
E is incorrect since 10 feet + 11 inches < 12 feet
The number of peas on Pauline's plate, 40, is 13 greater than the number on Doris's plate. How many peas are on Doris's plate?
Step-by-step explanation:
Let the number of peas in Doris plate be x
now,
x = 40-13
or, x = 37
Therefore there are 37 peas in Dori's plate (would love if you could mark me the brainliest :))
y=6x+2
y=3x+1
solve with substution
6x + 2 and 3x + 1 are both equal to y, so they are both equal to each other.
6x + 2 = 3x + 1
3x = -1
x = -1/3
And plugging -1/3 in for x yields y = 0.
Which of the following probabilities is equal to approximately 0. 2957? Use the portion of the standard normal table below to help answer the question. Z Probability 0. 00 0. 5000 0. 25 0. 5987 0. 50 0. 6915 0. 75 0. 7734 1. 00 0. 8413 1. 25 0. 8944 1. 50 0. 9332 1. 75 0. 9599 P (negative 1. 25 less-than-or-equal-to z less-than-or-equal-to 0. 25) P (negative 1. 25 less-than-or-equal-to z less-than-or-equal-to 0. 75) P (0. 25 less-than-or-equal-to z less-than-or-equal-to 1. 25) P (0. 75 less-than-or-equal-to z less-than-or-equal-to 1. 25).
Probability of an event is the measure of its chance of occurrence. The event out of the listed events whose probability is 0.2957 is given by : Option C: [tex]P(0.25 \leq Z \leq 1.25)[/tex]
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z-score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p-value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
Using the z-table, we get the needed probabilities as:
Case 1:
[tex]P(-1.25 \leq Z \leq 0.25) = P(Z \leq 0.25) - P(Z \leq -1.25) \approx 0.5987 - 0.1056 = 0.4931[/tex]
Case 2:
[tex]P(-1.25 \leq Z \leq 0.75) = P(Z \leq 0.75) - P(Z \leq -1.25) \approx 0.7734- 0.1056=0.6678[/tex]
Case 3:
[tex]P(0.25 \leq Z \leq 1.25) = P(Z \leq 1.25) - P(Z \leq 0.25) \approx 0.8944 - 0.5987=0.2957[/tex]
Case 4:
[tex]P(0.75 \leq Z \leq 1.25) = P(Z \leq 1.25) - P(Z \leq 0.75) \approx 0.8944 - 0.7734 =0.1210[/tex]
Thus, the event out of the listed events whose probability is 0.2957 is given by : Option C: [tex]P(0.25 \leq Z \leq 1.25)[/tex]
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Question 5
Reduce: 12/14
the question is in the picture i attached. the right answer gets brainlist :) <3
Answer:
∠ 4 = 130°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 4 is an exterior angle of the triangle , so
∠ 4 = ∠ 1 + ∠ 2 ( substitute values )
11x + 9 = 6x + 6 + 4x + 14 , that is
11x + 9 = 10x + 20 ( subtract 10x from both sides )
x + 9 = 20 ( subtract 9 from both sides )
x = 11
Then
∠ 4 = 11x + 9 = 11(11) + 9 = 121 + 9 = 130°
your friend may have only calculated ∠ 1
∠ 1 = 6x + 6 = 6(11) + 6 = 66 + 6 = 72°
17/11=y/9 Round your answer to the nearest tenth
Answer:
y = 153/11
Step-by-step explanation:
Giving brainly please don’t answer wrong!
Answer:
Clay bowl because it is on -1168 feet
Answer:
Clay Bowl.
Step-by-step explanation:
The clay bowl has the lowest elevation out of the others. (-1168).
Solve for x. Round your answer to the nearest tenth.
25
X
16
22
Answer:
10.72
Step-by-step explanation:
a²+b²=c²
->
25²-16²= y²
625-256=y²
V369=y
y≈ 19.21
x²= 22²-y²
x²= 484-369
x= V115
x≈ 10.72
By using Pythagoras theorem the value of x is, 10.7 units
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The figure is shown.
Let the unknown side = y
Now, For upper triangle, we can use Pythagoras theorem as;
⇒ 25² = y² + 16²
⇒ 625 = y² + 256
⇒ y² = 369
⇒ y = √369
⇒ y = 19.2
Hence, The value of x is find as by using Pythagoras theorem as;
⇒ 19.2² + x² = 22²
⇒ 368.6 + x² = 484
⇒ x² = 484 - 368.6
⇒ x² = 115.4
⇒ x = √115.4
⇒ x = 10.7 units
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A can of corn is modeled below. The diameter of the cylinder is 6 cm and the height is 10 cm.
The Volume of a Cylinder can be find by using the formula V=Bh
Vhich expression can be used to show the B (the area of the base) of the can of corn?
Step-by-step explanation:
step 1 given
diametre of cylinder 6 cm
height of cylinder 10 cm
using formula
V=Bh
V= 6cm×10cm
V= 60 cm²
Bonds issued by Animite Energy are selling at a rate of 95. 230. Which of the following statements is true for a bond of par value $1,000? a. The market value includes a premium of $5. 23. B. The market value includes a premium of $10. 50. C. The market value includes a discount of $47. 70. D. The market value includes a discount of $95. 23.
The statements which is true for a bond of par value $1,000 is that the market value includes a discount of $47. 70.
What is market value?Market value is the current price of a product, company, or something consorting to the stock of the market.
It is the price which is required to buy something in the current market.
Bonds issued by Animite Energy are selling at a rate of 95.230. This is the bond percentage of the Animite energy in the market. This means if someone wants to buy 95.230 of this company's bond, then he get $100.
Now for the 1000 bonds, the amount required is,
[tex]C=95.230\times10\\C=952.30[/tex]
Hence, for the 1000 bonds, the amount required is 952.30. Therefore, the discount will be,
[tex]d=1000-952.30\\d=47.70[/tex]
Hence, the statements which is true for a bond of par value $1,000 is that the market value includes a discount of $47. 70.
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Answer:c
Step-by-step explanation:
