The following euler statement is False
What is euler's formula?For any real value θ, we have euler formula:
[tex]e^{i\theta} = \cos(\theta) + i\sin(\theta)[/tex]
where 'e' is the base of the natural logarithm, and 'i' is iota, the imaginary unit.
We are given that;
The figure
Now,
The Euler path is A-B-C-D-E-A-C-E-D.
However, the graph below does not have an Euler path because it is not connected:
There is no way to reach vertex F from the rest of the graph.
Therefore, by euler path the answer will be false.
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please help i will give brainlest
13.9
about 14 squares units
A paint manufacturer discovers that the mean volume of paint in a gallon-sized pail is 1 gallon with a standard deviation of 0.05 gallons. The paint volumes are approximately bell-shaped. Estimate the percent of pails with volumes between 0.95 gallons and 1.05 gallons.
Answer:
Approximately 68%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 1, standard deviation = 0.05.
Estimate the percent of pails with volumes between 0.95 gallons and 1.05 gallons.
0.95 = 1 - 0.05
1.05 = 1 + 0.05
So within 1 standard deviation of the mean, which by the Empirical Rule, is approximately 68% of values.
68.29% of pails have volumes between 0.95 gallons and 1.05 gallons.
Z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \sigma=standard\ deviation[/tex]
Given that:
μ = 1, σ = 0.05
[tex]For\ x=0.95:\\\\z=\frac{0.95-1}{0.05} =-1\\\\For\ x=1.05:\\\\z=\frac{1.05-1}{0.05} =1[/tex]
P(0.95 < x < 1.05) = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 68.29%
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At a party there are 30 students over the
age of 18 and 20 students under 18. You
randomly choose 3 students over 18 and 2
students under 18 to interview. This is an
example of:
A. A convenience sample
B. A self-selected sample
C. A systematic sample
D. A random sample
Answer:
The answer is C
Acellus sux
Step-by-step explanation:
Systematic sampling is a probability sampling approach in which researchers choose individuals of the population at a predetermined regular interval. The correct option is C, a systematic sample.
What is systematic Sampling?Systematic sampling is a probability sampling approach in which researchers choose individuals of the population at a predetermined regular interval (or k).
If the population order is random or random-like (e.g., alphabetical), this approach will yield a representative sample from which inferences about the population can be drawn.
Given that At a party there are 30 students over the age of 18 and 20 students under 18. You randomly choose 3 students over 18 and 2 students under 18 to interview.
Because you cannot get a list of your people in advance. As a result, the entire instance presented to us is an example of systematic sampling.
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Which postulate or theorem proves that AABC AXYZ?
Answer:
D. ASA
Step-by-step explanation:
In the figures given,
<A and <B in ∆ABC are congruent to corresponding angles <X and <Y in ∆XYZ in ∆XYZ.
Also, an included side AB in ∆ABC is congruent to a corresponding included side XY in ∆XYZ.
According to the ASA triangular theorem, two ∆s are congruent to each other when they have two corresponding angles in each of the triangles that are congruent to each other and an included side that is also congruent to each other.
Therefore, ∆ABC is congruent to ∆XYZ based on the ASA theorem.
How many cubes with side lengths of 1/4 cm does it take to fill the prism?
Step-by-step explanation:
All you do is add them all up but tbh that picture could use some work and maybe when you fix it ill help you then .So the square unit of this picture is 6
Which is a diagonal through the interior of the cube?
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A H
Side B E
Side C H
Side F G
Answer:
C.
Step-by-step explanation:
Find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
Answer:
235.5 units³
Step-by-step explanation:
volume of a cylinder: radius² × π × height
=> 5² × 3.14 × 3
=> 235.5
Answer:
75π
Step-by-step explanation:
What is the length of a 50-inch TV that has a width of 27 inches?
What is the area of this TV?
An artist painted a scale model of one of her paintings using a scale in which 5 inches represents 50 feet the actual height of the painting is 450 feet. What is the height of the painting in inches?
Answer:
5400
Step-by-step explanation:
Adam can buy 3 buckets of popcorn and 3 drinks for $25.50. Tanya
can buy 2 buckets of popcorn and 3 drinks for $19.50. How much
is one bucket of popcorn?
$25.50
O $4.75
$6.00
O $3.00
Answer:
Let price of drink be x
price of tub y
You have 4x+2y=32.5 (1) and
x = y -3.5 (2)
Plug for x from (2) into (1):
4(y-3.5) + 2y = 32.5
4y -14 +2y = 32.5
6y = 14+32.5
y = (46.5)/6 = $7.75 the price of tub
x= y-3.5 = 7.75 - 3.5 = $4.75
plz plz plz plz help me
Answer:
Solution given:
perpendicular [P]=15m
base[B]=8m
hypotenuse [H]=17m
rate :4 plants per square metre
no of plants=?
we have
Area of triangular garden: ½(P*B)=½(15*8)=60m²
Now
Total no of plants =rate ×Area =4×60=240
Michael needs 240 plants in the garden
Bout to do a math test,who is willing to help me?
me, if you can also help me!
Which values are equivalent to the fraction below? Check all that apply.
38
30 끓
38
O A. 3-2
2
B. (
48
O c.
O D.
1
9
O E. 314
OF. 32
The value are equivalent to the fraction below is 3^2, the correct option is F.
What is a fraction?
A fraction represents a part of a number or any number of equal parts.
A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
We are given that;
3^5/3^8
Now,
A. 3^-3: This is equivalent to 1/3^3 by moving the negative exponent to the denominator. Then we can simplify 1/3^3 to 1/27 by multiplying 3 by itself 3 times. This is not equivalent to 3^5 / 3^8, since 1/27 is not equal to 3^-3.
B. (1/3)^2: This is equivalent to 1/3^2 by applying the exponent to the numerator and denominator. Then we can simplify 1/3^2 to 1/9 by multiplying 3 by itself 2 times. This is not equivalent to 3^5 / 3^8, since 1/9 is not equal to 3^-3.
C. (1/3)^8: This is equivalent to 1/3^8 by applying the exponent to the numerator and denominator. Then we can simplify 1/3^8 to 1/6561 by multiplying 3 by itself 8 times. This is not equivalent to 3^5 / 3^8, since 1/6561 is not equal to 3^-3.
D. 1/9: This is equivalent to (1/3)^2 by writing it as a power of a fraction. Then we can apply the same steps as in option B and get back to 1/9. This is not equivalent to 3^5 / 3^8, since 1/9 is not equal to 3^-3.
E. 3^14: This is not equivalent to 3^5 / 3^8, since it has a positive exponent and does not have a fraction. We cannot simplify it further without changing its value.
F. 3^2: This is not equivalent to 3^5 / 3^8, since it has a positive exponent and does not have a fraction.
Therefore, by the given fraction the answer will be 3^2.
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1. In reviewing your Summary Account Activity (#1), you notice FEES
CHARGED of $69.45. This fee was assessed on your account for the
following reasons EXCEPT... *
Answer: Annual Fee
Step-by-step explanation:
The options include:
a. Late Payment Fee
b. Balance Transfer Fee
c. Cash Advance Fee
d. Annual Fee
The reason for the fee of $69.45 charged will be due to the late payment fee which is as a result of failing to make a payment by a due date.
Other reasons for the fee include the balance transfer fee which is the charged by the lender in order to transfer an existing debt that's incurred by another lender. The cash advance fee is also another reason for the charges.
Therefore, the correct answer to the question is annual fee.
If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?
Answer:
price of 23 toys=Rs276
price of 1 toys=Rs276/23 =Rs 12
price of 12 toys = Rs 12*12 =Rs 144
Starting salaries of 135 college graduates who have taken a statistics course have a mean of $42,650. Suppose the distribution of this population is approximately normal and has a standard deviation of $8,988. Using a 93% confidence level, find both of the following:
(NOTE: Do not use commas nor dollar signs in your answers.)
(a) The margin of error:
(b) The confidence interval for the mean μ:
Answer:
Hence, the margin error is [tex]1415.62189[/tex] and the confidence interval for the mean is [tex](41234.38,44065.62)[/tex].
Step-by-step explanation:
Given :
Sample size [tex]n=135[/tex]
Sample mean [tex]\bar{x}=\$42,650[/tex]
Standard deviation [tex]\sigma =\$8,988[/tex]
Confidence level is [tex]93\%[/tex]
(a)
The margin error [tex]=Z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n}}[/tex]
[tex]\because \alpha =1-[/tex]confidence level
[tex]\Rightarrow \alpha=1-93\%=1-0.93[/tex]
[tex]\Rightarrow \alpha=0.07\Rightarrow \frac{\alpha}{2}=0.035[/tex]
[tex]Z_{\frac{\alpha}{2}}=Z_{0.035}=1.83[/tex] from the [tex]z-[/tex]table
Now, the margin error[tex]=1.83\times \frac{8988}{\sqrt{135}}[/tex]
[tex]=1415.62189[/tex]
(b)
The confidence interval for the mean [tex]\mu\\[/tex] :
[tex](\bar{x}-\text{margin error},\bar{x}+\text{margin error})[/tex]
[tex]\Rightarrow (\bar{x}-1415.62189,\bar{x}+1415.62189)[/tex]
[tex]\Rightarrow (42650-1415.62189,42650+1415.62189)\\\Rightarrow (41234.38,44065.62)[/tex]
Find all solutions of sin x - sqr3-3sin^2x =0
Answer:
sqr3 sin x/2
+ cos x = 1 if 0º< < 360°.
Step-by-step explanation:
Fill in the blank with a number to make the expression a perfect square.
U^2 + 2u + ?
Answer:
u² + 2u + 1
Step-by-step explanation:
In the question it's asking to find the the number in the blank to make the expression a perfect square.
Let the number in the blank be 'x'.
To guess 'x' , use the algebraic identity :- [tex](a + b)^2 = a^2 + (2 \times a \times b) + b^2[/tex]
While matching the expression with identity , the expression will look like this :- u² + 2ux + x²
In the expression given in the question , it's "2u" but after matching the expression with identity , it is found to be "2ux".
⇒ x = 1 (∵ If x will be 1 , then 2ux = 2×u×1 = 2u)
⇒ x² = 1
∴ The number in the blank is 1.
When you roll two number cubes, what are the odds, in simplest form, in favor of getting two numbers less than 3?
A. 1:8
B. 8:1
C. 1:9
D. 9:1
Answer:
A
Step-by-step explanation:
The successful results are
1 1
2 1
1 2
2 2
So the formula is probability of winning to probability of losing
Probability of winning =
4/36 = 0.1111111
Probability of losing =
32/36 = 0.88888888
So the odds are expressed as 0.111111 / 0.88888 = 1 in 8
A
If you ever intend to bet on horses at the track, this is a very good problem to understand.
Place and show would be very handy too, but that goes beyond this question.
5n - 12 = -3n + 4
30 points
Answer:
n = 2
Step-by-step explanation:
5n - 12 = -3n + 4
5n + 3n = 4 + 12
8n = 16
n = 2
Answer:
5n-12=-3n+4
5n+3n=4+12
8n=16
n=16/8
n=2
Step-by-step explanation:
Find the missing side
There were 104 females and 78 males present at the high school pep rally. Find the ratio of males to the total number of people present in simplified form
Given f(x)= . What is Limit of f (x) as x approaches negative 1?
–2
–1
1
2
Answer:
-1
Step-by-step explanation:
The limit of a function f(x) as x tends to 'a' is obtained by substituting the value of a into f(x)
Here, f(x) = x ; as x - - > - 1
Limit of f(x) = - 1
Solve the equation
If necessary:
Combine Terms
*x+3-2x = 4x+5
Apply properties:
Add Subtract
Multiply
Divide
To start over:
Reset
Answer:
x = -2/5
Step-by-step explanation:
x + 3 - 2x = 4x + 5
Combine like terms
-x + 3 = 4x + 5
Subtract 4x from both sides
-5x + 3 = 5
Subtract 3 from both sides
-5x = 2
Divide both sides by -5
x = -2/5
The solution to the equation x + 3 - 2x = 4x + 5 is x = -2/5.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To solve for x in the equation x + 3 - 2x = 4x + 5,
We can follow these steps:
Simplify both sides of the equation by combining like terms.
Starting with the left-hand side:
x + 3 - 2x = -x + 3
Now we can rewrite the equation as:
-x + 3 = 4x + 5
Add x to both sides of the equation to isolate the x term on one side:
-x + x + 3 = 4x + x + 5
Simplifying:
3 = 5x + 5
Subtract 5 from both sides of the equation:
3 - 5 = 5x + 5 - 5
Simplifying:
-2 = 5x
Divide both sides of the equation by 5 to solve for x:
-2/5 = x
Therefore,
The solution to the equation x + 3 - 2x = 4x + 5 is x = -2/5.
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What should be done to solve the following equation? d - 5 = 3
Answer:
d=8
Step-by-step explanation:
Firstly you need to get d by itself. To get d by itself you need to get 5 onto the other side. To do that you need to add 5 to 3 (because adding is the opposite of addition). Therefore you will get 8! So d = 8
Answer:
add 5 both sides making it
d=5+3
solve 5+3
=8
d=8!!!Solve the following expression when
k= 12 and y = 6
+ 5 – 4v + 12
Answer:
- 5
Step-by-step explanation:
12/6 + 5 - 4(6) + 12
12/6 + 5 - 24 + 12
2 + 5 - 24 + 12
7 - 24 + 12
7 - 12
- 5
Answer:
when
k= 12 and v = 6
k/v+ 5 – 4v + 12
=12/6+5-4×6+12
=2-24+12+5
=-10+5
=-5 is a required answer.
Jamie wants to make a playlist with 8 songs on her iPod. She has 50 songs to choose from, including 15 songs from Maroon 5. Janine's iPod won't allow any song to appear more than once in a playlist. How many different sets of 8 songs are for Janine's playlist. Assume that the order doesn't matter?
Step-by-step explanation:
just pick the favorite songs
50 students were asked what they did last night. 16 said they read a book, 41 said they watched TV, 7 said they did neither, how many students did both
Answer:
14 students
Step-by-step explanation:
Given
Let:
[tex]b \to[/tex] read a book
[tex]t \to[/tex] watched TV
So, we have:
[tex]n = 50[/tex] -- total
[tex]b = 16[/tex]
[tex]t = 41[/tex]
[tex]none = 7[/tex]
Required
Students that did both (x)
This is calculated using:
[tex]Total = Books\ only + TV\ only + Both + None[/tex]
So, we have:
[tex]n = (b - x) + (t - x) + x + none[/tex]
This gives:
[tex]50 = (16 - x) + (41 - x) + x + 7[/tex]
Open brackets
[tex]50 = 16 - x + 41 - x + x + 7[/tex]
[tex]50 = 16 - x + 41 +7[/tex]
Collect like terms
[tex]x = 16 - 50 + 41 +7[/tex]
[tex]x = 14[/tex]
Hence, 14 students did both
Isabel split 5/8 pounds of candy among 4 people. What is the unit rate in pounds per person?
Answer:
0.15
Step-by-step explanation:
Because 5/8 divided by 4 is 0.15.
Martha has a jar that contains 5 red marbles and 7 white marbles. She randomly draws one marble and then draws another marble. What is the probability of drawing two white marbles if the marbles are drawn:
(a) without replacement?
(b) with replacement?
Answer:
the probability is 2/12
you might have to explain what replacement means