Answer:
120 different ways
Step-by-step explanation:
The formula to count the permutation since the order the matters: nPr = n! / (n - r)!, where n is the total number and r is the total number of chosen.
1) Substitute values into the formula. SMILE has 5 letters, and we choose 5.
5P5 = 5! / (5 - 5)!
5P5 = 5! / 0!
Zero factorial (0!) is always 1.
So, 5P5 = 5! / 1
5! = 5 × 4 × 3 × 2 × 1
5! = 120
Therefore, 5P5 = 120 / 1, which is 120. We can arrange the word SMILE in 120 different ways.
Find the principal which will yield simple interest of N55.60 for 1yr 6 months at the rate of 2%
There should be a point the line is going through, (1,2).
We have given that,
N55.60 for 1yr 6 months at the rate of 2%
We have to determine the principal which will yield simple interest of N55.60 for 1yr 6 months at the rate of 2%.
What is the simple interest?[tex]A = P (1 + rt)[/tex]
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
x = inches
y = miles
per 1 inch = 2 miles
so on the graph, there should be a point the line is going through, (1,2).
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Levi needed to get his computer fixed. He took it to the repair store. The technician at
the store worked on the computer for 5.5 hours and charged him $59 for parts. The
total was $361.50. Which equation could be used to determine c, the cost of labor per
hour?
Answer:
$55
Step-by-step explanation:
Let c = cost of labour per hour
1) Set up an equation, where hours is denoted by c.
5.5c + 59 = 361.50
5.5c = 361.50 - 59
5.5c = 302.50
c = 302.50/5.5
c = 55
Therefore, the technician took $55 per hour.
The antiderivatives of many functions either cannot be expressed or cannot be expressed easily in closed form (that is, in terms of known functions). Consequently, rather than evaluate definite integrals of these functions directly, we resort to various techniques of _______________ integration to approximate their values.
The term which is to be filled in the sentence given in the question is numerical.
Given the antiderivatives of many ----------------- directly, we resort to various techniques of ________ integration to approximate their values.
We have to fill the blank in the sentence given with appropriate term.
Integration is a technique of finding a function from it's derivative.
Definite integral is the area under a curve between two limits. We have to find the answer by first putting upper limit and then lower limit. Then we have to subtract the answer from lower limit from the answer of upper limit.
In Indefinite integration we have not given any limits.
Numerical integration, a algorithm for calculating the numerical value of a definite integral.
Hence the term for the sentence is numerical integration.
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Algebra 1 A Adaptive CR (JL22) 1/Tools Of The Trade
2. Simplify and write in exponential form. (4³)(3) = ?
O
O (4³) (¹)
521
The simplified expression of [tex](4^3)(\frac{4^4^0x^4}{3^2x^2y^2})[/tex] is [tex]\frac{4^7x^2}{3^2y^2}[/tex]
How to simplify the expression?The expression is given as:
[tex](4^3)(\frac{4^4^0x^4}{3^2x^2y^2})[/tex]
Expressions raise to power 0 is 1.
So, we have:
[tex](4^3)(\frac{4^4x^4}{3^2x^2y^2})[/tex]
Apply the law of indices to expression with common base
[tex](\frac{4^{4+3}x^{4-2}}{3^2y^2})[/tex]
Evaluate the sum and difference
[tex](\frac{4^7x^2}{3^2y^2})[/tex]
Remove the bracket
[tex]\frac{4^7x^2}{3^2y^2}[/tex]
Hence, the simplified expression of [tex](4^3)(\frac{4^4^0x^4}{3^2x^2y^2})[/tex] is [tex]\frac{4^7x^2}{3^2y^2}[/tex]
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An adult female elephant weighs about 8000 pounds. a newborn baby elephant weighs about 200 pounds. write the ratio of the baby elephants weight to the adult female elephants weight as a fraction in simplest terms and as a decimal
Answer:
1/40 or 0.025
Step-by-step explanation:
the weight of baby el is 200
the weight of mama el is 8000
take 200/8000 and simplify.
if you divide the top by 200 then divide the bottom by 200
200 divided by 200 is 1
8000 divided by 200 is 40
so the simplest fraction is 1/40
if you type this in to a calculator, you will find that it equals 0.025
Fewer births and increased survival rates are changing the shape of the population from a pyramid to a(n):
Fewer births and increased survival rates are changing the shape of the population from a pyramid to a(n): Rectangle
It is given that fewer births and increased survival rates are changing the shape of the population from a pyramid.
Survival rates is the percentage of people in a study or treatment group who are still alive for a certain period of time after they were diagnosed with or started treatment for a disease, such as cancer.
A population pyramid is a way to visualize two variables: age and sex. They are used by demographers, who study populations. A population pyramid is a graph that shows the distribution of ages across a population divided down the center between male and female members of the population.
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may someone help me please.
Answer:
c
Step-by-step explanation:
i think
17. Compute each of the following. for some of these, there are two ways to compute the result. explain. (a) 3(2 + 3 + 5) (b) 1 3 (9 + 6−3) (c) (9+6−3)÷3 (d) 3(2 · 3 · 5) (e) 3÷(9+6−3)
The solution to the equation 3(2 + 3 + 5), 13(9 + 6 - 3), (9 + 6 - 3) ÷ 3, 3(2. 3. 5) and 3 ÷ (9 + 6 - 3) is 30, 156, 4, 90 and 1/4 respectively
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
a) 3(2 + 3 + 5)
= 3(10) = 30
b) 13(9 + 6 - 3)
= 13(12) = 156
c) (9 + 6 - 3) ÷ 3
= 12 ÷ 3 = 4
d) 3(2. 3. 5)
= 3(30) = 90
e) 3 ÷ (9 + 6 - 3) = 3 ÷ 12 = 1/4
The solution to the equation 3(2 + 3 + 5), 13(9 + 6 - 3), (9 + 6 - 3) ÷ 3, 3(2. 3. 5) and 3 ÷ (9 + 6 - 3) is 30, 156, 4, 90 and 1/4 respectively
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The name brand of a certain chain of coffee shop has a 57% recognition rate in the town of Coffleton. An executive from the company wants to verify the recognition rate as the company in interested in opening a coffee shop in town. He selects a random sample of 10 residents. a. Identify X, n, p, and q. b. Use the formula to find the probability that the number of residents that recognize the brand is not 4. c. Find the probability that at least 7 people will recognize the brand. d. Use normal distribution to estimate the probability that at most 5 people will recognize the coffee shop bran
The probability that the number of residents that recognize the brand is not 4 is 0.86 , the probability that at least 7 people will recognize the brand is 0.29 and the probability that at most 5 people will recognize the coffee shop is 0.39.
Given Recognition rate of brand in town of Coffleton is 57% and sample size is 10.
We have to use binomial distribution:
P(X=x)=[tex]C_{n,x} p^{x} (1-p)^{n-x}[/tex]
[tex]C_{n,x} =C!/r!(C-r)![/tex]
A) The parameters are as under:
x is the number of successes.
n is the number of trials which is 10 in this question.
p is the probability.
In this problem :
The brand name of a certain chain of coffee shops has 57% recognition rate in the town of coffleton , hence p=0.53.
There is a sample of 10 residents, n=10.
Probability that the no. of people that recognize the brand name is not 4 is as under:
P(X≠4)=1-P(X=4)
P(X=4)=[tex]C_{10,4}(0.53)^{4} (0.43)^{6}[/tex]
=0.1395
P(X≠4)=1-0.1395
=0.8605
B) P(X>=7)=[tex]C_{10,7} (0.57)^{7} (0.43)^{3} +C_{10,8} (0.57)^{8} (0.43)^{2} +C_{10,9} (0.57)^{9} (0.43)^{1} +C_{10,10} (0.57)^{10} (0.43)^{0}[/tex]
=0.18012+0.081+0.0258+0.0036
=0.29
C)P(X<=5)=[tex]C_{10,1} (0.57)^{1} (0.43)^{9} +C_{10,2} (0.57)^{2} (0.43)^{8} +C_{10,3} (0.57)^{3} (0.43)^{7} +C_{10,4} (0.57)^{4} (0.43)^{6} +C_{10,5} (0.57)^{5} (0.43)^{5}[/tex]
=0.00285+0.0146205+0.0432+0.126+0.21168
=0.3983.
Hence the probability that the number of residents that recognize the brand is not 4 is 0.86 , the probability that at least 7 people will recognize the brand is 0.29 and the probability that at most 5 people will recognize the coffee shop is 0.39.
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When the value of the population standard deviation is unknown, we estimate it with ________ to conduct inference about a population mean.
sample standard deviation.
the sample standard deviation is used to estimate σ in the confidence interval formula. The quantity 1.96σ/ √n is often called the margin of error for the estimate.
Standard deviation (or σ) is a measure of how much the data extends from the mean. A low standard deviation means that the data is gathered around the mean, and a high standard deviation means that the data is more distributed.
Standard deviation is important because it shows how the values are distributed in a particular dataset. Whenever I analyze a dataset, I am interested in finding the following metrics: The center of the dataset. The most common ways to measure the "intermediate" are mean and median. The root means square of the difference between the
observation and the sample mean is called the sample standard deviation. Two or more standard deviations from the mean are considered significant deviations.
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Given: ABCD is a parallelogram.
Prove:
Answer:
ABCD is a parallelogram/Given
Line AB is parallel to line DC/Opposite sides of a parallelogram are equal
Line FD is congruent to Line FD/Reflexive property
Line BE is congruent to line BE/Reflexive property
Line AC is congruent to Line AC/Reflexive Property
Angle A is congruent to Angle BCD by Alternate Interior Angle Theorem
Angle BCD is congruent to Angle FCE by Vertical Angles Theorem
Angle A is congruent to Angle BCD by Transitive Property
In the diagram below, if side AB = 21, BC = 15, AC = 9, DE = 7, EF = 5, and DF = 3 then we can say that ___.
he two triangles are similar by SAS
b.
the two triangles are not SSS
c.
the two triangles are congruent
d.
the two triangles are similar by SSS
Answer: B. the two triangles are not Side-side-side
From the diagram, the two triangles are similar based on the angle-angle similarity theorem.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.
From the diagram, the two triangles are similar based on the angle-angle similarity theorem.
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HI I need help
10Points
Answer:
13 × 14 = 182 yd^2
............................
Area=
What is the area? Help me please. Thanks
The area of the square LMNP is 50 square units
How to determine the area of the square?The circumference of the circle is given as:
C = 10π
Circumference is calculated as:
C = 2πr
So, we have:
2πr = 10π
Divide by 2π
r = 5
This represents the length OM
The length PM is calculated as:
PM = 2 * OM
This gives
PM = 2 * 5
PM = 10
The length (PN) of the square is then calculated as:
PM = PN√2
This gives
10 = PN√2
Square both sides
100 = PN^2 * 2
Divide by 2
50 = PN^2
Rewrite as:
PN^2 = 50
Hence, the area of the square LMNP is 50 square units
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Jose bought 750 bags of peanuts for $375.00.he intends to sell each bag for $0.15 more than he paid. How much should he charge for each bag?
Jose should charge $0.65 for each bag if he intends to sell the bag for $0.15 more than he paid.
How do we solve word problems?Mathematical problems dealing with word problems can be solved by arranging data given into variables and using the appropriate arithmetic operation to solve them.
From the given information:
If Jose bought a 750 bag of peanuts for $375.00. It means that he bought each bag(1 bag) for:
[tex]\mathbf{=\$\dfrac{375}{750}}[/tex]
= $0.5
However, he intends to sell each bag for $0.15 more than he paid; Then the amount he should charge for each bag is:
=$0.5 + $0.15
=$0.65
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Solve for x HELP PLEASE!!!!!!!!
Answer:
5
Step-by-step explanation:
28 - 12 = 16
28 / 35 = 16 / 4x
28 = 4 * 7
35 = 5 * 7
16 = 4 * 4
4x = 4 * x
( 4 * 7 ) / ( 5 * 7 ) = ( 4 * 4 ) / ( 4 * x )
( 4 / 5 ) = ( 4 / x )
Cross multiply,
4 * x = 5 * 4
Divide 4 on both sides,
x = 5
One day on Sesame Street, a friendly rabbit brought big bird a tube of toothpaste that contained one gallon of toothpaste. If a regular toothpaste cost $1.39 for 2.7 ounce tube what is the value of the sesame steeet tube to the nearest cent?
The sesame street tube bought by the blue bird costs $177.92 which contained one gallon of toothpaste.
Given,
cost of regular toothpaste = $1.39 for 2.7 ounce tube
But the bird took a tube of toothpaste that contained one gallon of toothpaste.
One gallon = 128 ounces
∴the total price at which the toothpaste is brought = price of normal toothpaste × one gallon(128 ounces)
= 1.39 × 128
=$177.92
Here we can observe that a gallon contains 128 ounces. so we need to multiply to the initial cost of the toothpaste to get the final amount of the toothpaste bought by the bird.
Hence the price at which the bird bought the toothpaste is $177.92
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scores for a qualification exam are nromally distibuted, with a mean of 80 and a standard deviation of 10. to be qualfiied for an interview, you must score in the top 10%. what is the lowest score you can earn and still be qualified for an interview
Lowest score earned to be qualified for an interview is 92.82
X : Marks scored in interview
X ~ N(80,100)
Here we need to find x such that P(X > x) = 0.10
using standard normal table,
we get P( z > 1.282) = 0.10
It's always easy to use Standard normal distribution to solve questions of normal distribution because standard normal is special case of normal distribution with mean 0 and standard deviation 1.
To convert x (which follows Normal distribution) to standard normal use: [tex]\frac{x-\mu}{\sigma} \sim N(0,1)[/tex]
so, [tex]z = 1.282 = \frac{x-\mu}{\sigma}[/tex]
hence,
[tex]x = 1.282 * \sigma + \mu \\x = 1.282 * 10+_80 \\x = 92.82 \\[/tex]
Hence Lowest score earned to be qualified for an interview is 92.82
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Solve the system of equations. 5x y = 9 3x 2y = 4 (−2, 5) (1, 4) (2, −1) (4, −4)
The solution of the system of equations that is given is (2,-1).
Given a system of equations are 5x+y=9 and 3x+2y=4.
A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.
The given equations are
5x+y=9 ......(1)
3x+2y=4 ......(2)
Here, the substitution method is used to solve the system of equations.
Find the value of y from equation (1) by subtracting 5x from both sides.
5x+y-5x=9-5x
y=9-5x
To find the value of x substitute the value of y in equation (2).
3x+2(9-5x)=4
Apply the distributive property a(b+c)=ab+ac as
3x+2×9-2×5x=4
3x+18-10x=4
Combine the like terms on the left side as
-7x+18=4
Subtract 18 from both sides and get
-7x+18-18=4-18
-7x=-14
Divide both sides by -7 and get
(-7x)÷(-7)=(-14)÷(-7)
x=2
Substitute the value of x in equation (1) and get
5(2)+y=9
10+y=9
Subtract 10 from both sides
10+y-10=9-10
y=-1
Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).
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ΔXYZ was reflected to form ΔLMN.
Triangle X Y Z is reflected to from triangle L M N. Angle Z Y X is 86 degrees and angle Y X Z is 38 degrees. Angle L N M is 56 degrees and angle N M L is 86 degrees.
Which statements are true regarding the diagram? Check all that apply.
ΔXYZ ≅ ΔLMN
∠Y ≅ ∠M
∠X ≅ ∠L
∠Z ≅ ∠L
YZ ≅ ML
XZ ≅ LN
For the given figure , Option A , B ,C , F will be true.
What is a Triangle ?A triangle is a polygon with three sides , angles and vertices.
It is given that
Triangle X Y Z is reflected to from triangle L M N.
The diagram is attached with the answer.
As the Triangle is reflected , The shape of the image doesn't change and also
From the diagram it can be concluded that
ΔXYZ ≅ ΔLMN
and as the triangles are Congruent , By CPCTC
∠Y ≅ ∠M
∠X ≅ ∠L
XZ ≅ LN
Therefore , Option A , B ,C , F are the options that are true for the given figure.
The missing figure is attached with the answer.
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Answer:
A B C F
Step-by-step explanation:
ΔXYZ ≅ ΔLMN
∠Y ≅ ∠M
∠X ≅ ∠L
XZ ≅ LN
Consider (cosine (startfraction pi over 2 endfraction) = i sine (startfraction pi over 2 endfraction) ) and z = 3 (cosine (startfraction 3 pi over 2 endfraction) = i sine (startfraction 3 pi over 2 endfraction) ).. what is w z expressed in polar form?
Sum of given complex numbers in polar form cos(pi/2) + i.sin(pi/2)
Complex number:
"The number of the type a + ib is called as complex number, where a, b are real numbers and [tex]i= \sqrt{-1}[/tex]
What is polar form of the complex number?
"The polar form of a complex number z = x + iy
For given question,
The sum of given complex numbers would be w+z = 4cos(pi/2 + i sin(pi/2)+ 3 cos (3pi/2) + i sin(pi/2)
We know that:
cos(pi/2)= 0
sin(pi/2)=1
cos(3pi/2)=0
So, the sum of given complex numbers would be w+z:
=> 4cos(pi/2 + i sin(pi/2)+ 3 cos (3pi/2) + i sin(pi/2)
=> 4i + 3(-i)
= i
= 0+i
Therefore, the sum of given complex numbers in polar form as:
cos(pi/2) + i.sin(pi/2)
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Answer: B
Step-by-step explanation: on edge
0.5(4x - 8) = 2x + 5
There is no value of x that makes the equation 0.5(4x - 8) = 2x + 5 true. The solution is "no solution."
To solve for the value of x in the equation 0.5(4x - 8) = 2x + 5, follow these steps:
Step 1: Distribute the 0.5 on the left side of the equation:
0.5 * 4x - 0.5 * 8 = 2x + 5
Simplify:
2x - 4 = 2x + 5
Step 2: To isolate the variable term "x" on one side of the equation, move the constant terms to the other side. In this case, subtract 2x from both sides:
2x - 2x - 4 = 2x - 2x + 5
Simplify:
-4 = 5
Step 3: The equation simplifies to -4 = 5, which is not true. This means that the equation has no solution, and there is no value of x that satisfies the equation.
Therefore, there is no value of x that makes the equation 0.5(4x - 8) = 2x + 5 true. The solution is "no solution."
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Complete question is:
Solve for the value of x: 0.5(4x - 8) = 2x + 5
The first digit of a string of 2002 digits is a 1. Any two-digit number formed by consecutive digits within this string is divisible by 19 or 31. What is the largest possible last digit in this string
The largest possible last digit in the string of 2002 digits and number divisible by 19 or 31 is 9.
Given the first digit of a string of 2002 digits is 1 and the two digit number formed by consecutive digits within the string is divisible by 19 or 31.
We have to tell the last largest digit of such number.
Two digit numbers divisible by 19=19,38,57,76,95.
Two digit numbers divisible by 31=31,62,93,124
Number started with 1 =19
Last digit is 9
We have said that the number should be divisible by 19 or 31 not from both and started with 1.
Hence the largest possible last digit and number divisible by 19 or 31 in this string is 9.
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Hi I need help with this question
2 1/7+3/7(3x-5)=-4
An equation is formed of two equal expressions. The value of x is -28/9.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given expression can be simplified as,
[tex]2 \frac17+\dfrac37(3x-5)=-4\\\\\dfrac{15}{7} + \dfrac{9x-15}{7} = -4\\\\ \dfrac{15+9x-15}{7} = -4\\\\9x = -28\\\\x = \dfrac{-28}{9}[/tex]
Hence, the value of x is -28/9.
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3 quick algebra 1 questions for 50 points!
Only answer if you know the answer, tysm for the help!
#1
I solved it another question of yours
#2
f(x)=3x-11
f(4)
3(4)-1112-111#3
We can see the point (2,5)
So
w(2)=5The function's range will be between -9,7 and 40.
What distinguishes a domain from a range?The range represents all potential y values, whereas the domain represents all conceivable x values.
The provided equation is;
g(x) = x²-9
By entering the values one at a time into the previous equation, we can determine the range of the specified domain.
g(x) = x²-9
a)For x = 0
g(x) = 0²-9
g(x) =-9
b)For x =4
g(x) = 4²-9
g(x) =16-9
g(x) = 7
c)For x =7
g(x) = 7²-9
g(x) =49-9
g(x) = 40
Hence, the range of the function will be -9,7 and 40.
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Paige bought 8 bags of sand, she had a total of 30Ib of sand, and each bag cost $1.80/bag: A: What is the weight of sand per bag b) what is the price of sand per Ib
The weight of sand per bag and price of sand per Ib is 3.75 lb per bag and $1.80 respectively.
Unit priceNumber of bags of sand = 8Total weight of bags of sand = 30 lbCost of each bag of sand = $1.80Weight of sand per bag = Total weight of bags of sand ÷ Number of bags of sand
= 30 lb / 8
= 3.75 lb per bag
price of sand per Ib = $1.80
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What is the circumference of the following circle? r=7
Answer:
14pi
Step-by-step explanation:
Answer:
Below in bold.
Step-by-step explanation:
The formula for the circumference
= 2πr where r is the radius
= 2 * π * 7
= 14π
= 43.98 units to the nearest hundredth.
What is the slope of the line that contains the points (4, 3) and (2, 7)?
Hello,
Answer:
Slope = -2
Step-by-step explanation:
We have A(4 ; 3) and B(2 ; 7)
y = ax + b where a is the slope
[tex]a = \frac{yb - ya}{xb - xa } = \frac{7 - 3}{2 - 4} =\frac{4}{-2} =-2[/tex]
1] If 221ₓ= 25₁₀ find X
2] if 3ₓ + 34ₓ - 40ₓ = 0 find x
3] if 23ₓ = 1111₂ find x
1.
[tex]2\cdot x^2+2\cdot x^1+1\cdot x^0=25\\2x^2+2x+1=25\\2x^2+2x-24=0\\x^2+x-12=0\\x^2+4x-3x-12=0\\x(x+4)-3(x+4)=0\\(x-3)(x+4)=0\\x=3 \vee x=-4[/tex]
The base can't be negative, therefore [tex]x=3[/tex].
2.
[tex]3\cdot x^0+3\cdot x^1+4\cdot x^0-4\cdot x^1+0\cdot x^0=0\\3+3x+4-4x=0\\x=7[/tex]
3.
[tex]2\cdot x^1+3\cdotx^0=1\cdot 2^3+1\cdot2^2+1\cdot2^1+1\cdot2^0\\2x+1=8+4+2+1\\2x=14\\x=7[/tex]
i need help please and thank you
Answer: The last, bottom, or 4th option.
Step-by-step explanation:
See attached.
By looking through the details of the information given, we can narrow down the correct answer to option 4.