ans. 2/5 or 36/90
etc
exp .there are many formulas
the one i use is
. to cut the fraction
eg 4/10 from 2 table
ans is 2 / 5
cause 2x2=4
2×5=10
. the other one is to multiply
4/10 to any number
eg 4 ×9=36
10×9=90
= 36/90
but in both methods
you have cut or multiply by the same number
find the sum of -2.5, -3 and 6.7
Answer:
-2.5 + -3 + 6.7
= -5.5 + 6.7
= 1.2
Step-by-step explanation:
hope this helps bye
Expresa la razón en su forma más simple:
21 a 98
Answer:
3 a 14
Step-by-step explanation:
21 a 98
dividir ambos por 7
3 a 14
In the ΔXYZ, ∠X and ∠Z are congruent. If m∠X=(3x+14)°and m∠Z=53°, find the value of x.
From the statement, we know that:
• ∠X and ∠Z are congruent ⇒ m∠X = m∠Z,
• m∠X= (3x+14)°,
• m∠Z = 53°.
(1) Using the data from above, we have:
\(\begin{gathered} m∠X=m∠Z, \\ (3x+14)\degree=53\degree, \\ 3x+14=53. \end{gathered}\)(2) Solving the last equation for x, we get:
\(\begin{gathered} 3x=53-14, \\ 3x=39, \\ x=\frac{39}{3}=13. \end{gathered}\)Answerx = 13
a + b=c make (a) the subject with working
Step-by-step explanation:
a= c-b pls let me know if it is correct or not
is {(3,-2), (4,-2), (5,-2), (6,-2) a function
Answer:
yes
Step-by-step explanation:
This function is y=-2 which is a line that doesn't overlap.
Answer: Yes
Step-by-step explanation:
When you have these problems, you can know the answer by seeing if any of the x values are the same. If there are, it will only be a function if the y value is the same.
For example:
{(1,-2),(2,3),(1,-2),(3,4) would be a function because the x values of "1" have the same y value.
Another example:
{(1,-2),(1,3),(3,4),(4,5) would not be a function because the x values of "1" does not have the same y value
Hope this helps!
find the perimeter of the composite figure. 11 19.5 16 m 18m
The perimeter of the composite figure that is given above would be = 96.6m.
How to calculate the perimeter of the given figure?To calculate the perimeter of the given shape, it has to be divided into two.
First shape is a rectangle. Therefore the perimeter of a rectangle is calculated with the formula = 2(l+w)
Where ;
length = 16m
width = 11m
perimeter = 2(16+11)
= 2×27
= 54m
The second shape:
Perimeter of triangle = l+w+h
where;
length = 18-11 = 7m
width = 16m
height = 19.5m
perimeter = 7+16+19.5 = 42.5m
Therefore, the perimeter of the shape = 54+42.5 = 96.6m
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6. Explain what must occur to the parent
function f(x) = x² to transform the
function to g(x) = (x-4)² +2.
Answer:
4 units right, 2 units up
Step-by-step explanation:
For \(g(x)=(x-4)^2+2\), the graph of \(f(x)=x^2\) would need to move 4 units to the right and 2 units up. Hence, the vertex would be \((4,2)\) if we compare the function g(x) with the form \(y=a(x-h)^2+k\).
A circular plate has circumference 23.3 inches. What is the area of this plate? Use 3.14 for pi.
Show steps.
The area of the circular plate is approximately 43.14 square inches.
What is circle?
A circle is a geometric shape that consists of all points in a plane that are equidistant from a fixed point called the center.
The circumference of a circle can be calculated by the formula:
C = 2πr
where C is the circumference, π (pi) is a constant value approximately equal to 3.14, and r is the radius of the circle.
We are given that the circumference of the circular plate is 23.3 inches, so we can use this information to find the radius:
23.3 = 2πr
Dividing both sides by 2π, we get:
r = 23.3 / (2π) ≈ 3.71 inches
Now that we know the radius, we can use the formula for the area of a circle:
A = πr²
Substituting the value we found for r, we get:
A = π(3.71)²
A = 3.14 × 13.76
A ≈ 43.14 square inches
Therefore, the area of the circular plate is approximately 43.14 square inches.
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5 more than a number is twenty
Answer:
15
Step-by-step explanation:
5+x=20
x=15
Boom.
What transformation is represented by the function f(x)=2sin(x−π/2)
up 2
down 2
left π/2
right π/2
down π/2
Answer:
right π/2
Step-by-step explanation:
The function f(x) = 2sin(x - π/2) is a sine function with a period of 2π, an amplitude of 2, and a phase shift of π/2. The phase shift of π/2 causes the graph of the function to be shifted π/2 units to the right. .
Therefore, the correct answer is right π/2
You need to purchase rolls of sod grass for a client's lawn, which is 75 feet by 100 feet. The large rolls of sod grass are 116 feet by 42 inches. How many rolls of
sod grass do you need for the lawn?
The number of sod grasses needed is about one and half for the clients lawn
1 1/2 sod grasses
Area of RectangleGiven Data
Size of clients LawnLength = 75 feetWidth = 100 feetArea of client's Lawn = Length * Width
= 75*100
= 7500 square feet
Size of large rolls of sod grass
Length = 116 feetWidth = 42 feetArea of large rolls of sod grass = Length * Width
= 116*42
= 4872 square feet
The number of sod grass needed
= 7500/4872
= 1.53
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The future value of $100 at 10 percent compounded semiannually is ______ the future value of $100 at 10 percent compounded annually. Multiple choice question. equal to less than
The total amount accrued, principal plus interest, with compound interest on a principal of $100.00 at a rate of 10% per year compounded 2 times per year over 1 years is $110.25.
Computation of Compound InterestGiven DataPrincipal = $100
Rate = 10%
Time = 1 year
A = P + I where
P (principal) = $100.00
I (interest) = $10.25
Calculation Steps:First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 rate per year,
Then solve the equation for AA = P(1 + r/n)^nt
A = 100.00(1 + 0.1/2)^(2)(1)
A = 100.00(1 + 0.05)^(2)
A = $110.25
Answer:
A = $110.25
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pls help asap pls i pay 54
The value of BC is 9cm.
What is a similar triangle?
If two triangles have the same shape or have the same shape as their mirror images, they are said to be comparable. One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection.
Here, we have
Given: BA = 6cm, AC = 8cm
BC =?
In a similar triangle, their side is also proportional.
BA/ED = AC/DF = BC/EF
BA/ED = BC/EF
6/18 = BC/27
18BC = 6×27
BC = 6×27/18
BC = 9cm
Hence, the value of BC is 9cm.
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Please use the following for the next 6 questions. Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the population standard deviation for the earnings for such employees is $50. A sample of 100 such employees is selected at random.
1) What is the probability distribution of the average weekly earnings for employees in general automotive repair shops?
2) Find the probability that the average weekly earnings is less than $445.
3) Find the probability that the average weekly earnings is exactly equal to $445.
4) Find the probability that the average weekly earnings is between $445 and $455.
5) In answering the previous 3 questions, did you have to make any assumptions about the population distribution?
6) Now assume that the weekly earnings for employees in all general automotive repair shops is normally distributed, obtain the probability that a given employee will earn more than $480 in a given week.
1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.
3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.
4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.
5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.
6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.
Suppose a population contains 20,000 people. All else being equal, a study
based on a population sample that includes which of the following numbers
of respondents would be the most reliable?
A. 200
OB. 20
C. 2000
D. 2
A study based on a population sample that includes 2000 respondents would be the most reliable out of the given options.
In statistical analysis, the reliability of a study depends on the representativeness and size of the sample.
A larger sample size generally provides more reliable results as it reduces the sampling error and increases the precision of the estimates.
Given that the population contains 20,000 people, we need to consider which number of respondents would yield the most reliable study.
Option A: 200 respondents
This represents only 1% of the population.
While it is better than having just 2 respondents, it may not be sufficient to accurately capture the characteristics of the entire population.
Option B: 20 respondents
This represents only 0.1% of the population.
With such a small sample size, the study would likely suffer from a high sampling error and may not provide reliable results.
Option C: 2000 respondents
This represents 10% of the population.
While it is a larger sample size compared to the previous options, it still only captures a fraction of the population.
The study may provide reasonably reliable results, but there is room for potential sampling error.
Option D: 2 respondents
This represents an extremely small sample size, accounting for only 0.01% of the population.
With such a small sample, the study would be highly susceptible to sampling bias and would likely yield unreliable results.
Based on the options provided, option C with 2000 respondents would be the most reliable study.
Although it does not include the entire population, a sample size of 2000 respondents provides a larger representation of the population and reduces the potential for sampling error.
However, it's important to note that the reliability of a study depends not only on sample size but also on the sampling method, data collection techniques, and other factors that ensure representativeness.
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Suppose the measure of angle 1 is 127 degrees. Find the measure of the other 3 angles:
Answer:
Angle 1 is 127°
∠2 is 53°
∠3 is 127°
∠4 is 53°
If h(x) = x - 7 and g(x) = x2, which expression is equivalent to (g•h)(5)?
If h(x) = x - 7 and g(x) = x2, the expression which is equivalent to g(h(5)) is (5 - 7)2.
Answer:
(g•h)(5) = 4
Step-by-step explanation:
(g•h)(5)
g(5 - 7)
g(-2)
(-2)²
4
These shapes are similar.
Find X.
5
X
5
30
24
30
The value of x is 4.
To determine the value of x, we can use the concept of similarity between shapes.
Similar shapes have corresponding sides that are proportional to each other.
Given the dimensions of the first shape as 5, x, and 5, and the dimensions of the second shape as 30, 24, and 30, we can set up the following proportion:
5/x = 30/24
To solve for x, we can cross-multiply:
30 · x = 5 · 24
30x = 120
Dividing both sides of the equation by 30:
x = 120 / 30
x = 4
Therefore, the value of x is 4.
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A store has two types of nuts that they will mix together to make a mixture worth $5.91 per pound. If thestore uses 13 pounds of a nut that costs $3.10 per pound, how many of pounds of nuts that cost $7.50 perpound should be added to make the mixture?The store should addpounds of nuts worth $7.50 per pound (round to the nearest wholepound - NO COMMAS).
Given:
The cost of mixture per pound, M= $5.91.
The quantity of nuts taken first , n=13 pounds.
The cost of nuts per pound, which was taken first, N=$3.10.
The cost of nuts per pound taken second, P=$7.50.
Let p be the quantity of nuts taken second.
Hence, we can write,
\(M(n+p)=Nn+Pp\)Now, put the values in the above equation.
\(\begin{gathered} 5.91\times(13+p)=3.1\times13+7.5\times p \\ 5.91\times13+5.91p=3.1\times13+7.5\times p \\ 5.91p-7.5\times p=3.1\times13-5.91\times13 \\ -1.59p=13(3.1-5.91) \\ -1.59p=13\times(-2.81) \\ -1.59p=-36.53 \\ p=\frac{-36.53}{-1.59} \\ p\cong23\text{ pounds} \end{gathered}\)Therefore, 23 pounds of nuts that cost $7.50 per pound is added to make the mixture.
A punter kicks a football into the air. The pathway of the football can be represented by the equation h=-16t^2+82t (where t= time in seconds and h= height in feet.) what was the maximum height of the ball and what time was the maximum height reached?
Answer:64
Step-by-step explanation:
Answer:
2fiftguvvbbhb to the following ad listing has ended on the same to ensure everyone I r
There are multiple steps to this and I will be uploading multiple pictures please answer a B and CA is Converse B is contrapositiveC is inversePlease read the question carefully
Given:
Given the conditional statement "If an object weighs 3 kilograms, then the object weighs 300 grams".
Required: Converse, contrapositive and inverse of the statement
Explanation:
The converse of a conditional statement, "If p, then q" is "If q then p".
So, the converse of the given statement is,
"If an object weighs 3000 grams, then the object weighs 3 kilograms".
The contrapositive of a conditional statement, "If p, then q" is "If not q, then not p".
So, the contrapositive of the given statement is "If an object not weighs 3000 grams, then the object not weighs 3 kilograms".
The inverse of a conditional statement "If p, then q" is "If not p, then not q."
So, the inverse of the given conditional statement is "If an object not weighs 3 kilograms, then the object not weighs 3000 grams".
A triangle has side lengths of 20 meters, 10 meters, and 17 meters. What type of triangle is it?
Round off 123,546,789 to the indicated degree of precision:
6. to the nearest hundred
7. to the nearest thousand
8. to the nearest ten thousand
9. to the nearest million
10. to the nearest ten million
Answer:
Keep the number in the place value you are rounding to the same. Increase the number in the place value you are rounding to by 1.
...
Additional Resources
Round the number 227.18 to the nearest ten.
Round the number 856.861203 to the nearest thousandth.
Round the number 599.495 to the nearest tenth.
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98 25°F and a standard deviation of 0.68°F. Using the empirical rule, find each approximate percentage below.a. What is the approximate percentage of healthy adults with body temperatures within 1 standard deviation of the mean, or between 97.57°F and 98.93°F?
Given:
mean of 98 25°F and a standard deviation of 0.68°F.
Required:
Percentage of healthy adults with body temperatures within 1 standard deviation of the mean, or between 97.57°F and 98.93°
Explanation:
mean=98.25
98.93-98.25=0.68
97.57-98.25=-0.68
So 97.57°F and 98.93°F are 0.68 standard deviation from the mean 98.25F
By empirical rule we know that 68 % of the data lies within 0.68 standard deviation
of the mean
Required answer:
Above explanation
Describe how to add 3 2/5 and 1 1/5 and how to subtract them.
Find the explicit rule for the sequence: -4,1,6,11,...
Answer:
f(n)=5n-9
Explanation:
Given the sequence
\(-4,1,6,11,...\)\(\begin{gathered} 1-(-4)=1+4=5 \\ 6-1=5 \\ 11-6=5 \\ \implies\text{Common difference, d=5} \end{gathered}\)The explicit rule of an arithmetic sequence is obtained using the formula:
\(\begin{gathered} f(n)=f(1)+(n-1)d \\ \text{where f(1)=first term} \end{gathered}\)Substituting, we have:
\(\begin{gathered} f(n)=-4+5(n-1) \\ =-4+5n-5| \\ =-4-5+5n \\ f(n)=5n-9 \end{gathered}\)The explicit rule for the sequence is f(n)=5n-9.
Which of the following is the value of a when the function (x) - 3|xlis written in the standard form of an absolute value
function?
Answer:1
Step-by-step explanation:2
2
The value of a when the function f(x) = 3|xl is written in the standard form of an absolute value function is 3.
What is meant by an absolute function ?An absolute function is defined as a function which consists of an algebraic expression that is within absolute value symbols.
Here,
The standard form of the absolute value function is written by,
f(x) = a|x|
Given that,
f(x) = 3|x|
Comparing this with the standard form, we get,
a|x| = 3|x|
Therefore, a = 3
Hence,
The value of a when the function f(x) = 3|xl is written in the standard form of an absolute value function is 3.
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Help me please I’m stuck
ASAP!!! NEED AN ANSWER
In this budget scenario, use 15 per hour as the current wage for 40 hour work weeks. Hint: There are 52 weeks in a year, and 12 months in a year.
1. What is the gross yearly income?
2. What is the gross monthly income using this pay rate?
1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year
Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year
Gross Yearly Income = $31,200
2)Gross Monthly Income = Gross Yearly Income / Months in a Year
Gross Monthly Income = $31,200 / 12 months
Gross Monthly Income ≈ $2,600
Which fraction is equivalent to
4/6
Answer: 2/3
Step-by-step explanation: 4/6 simplified is 2/3 because 4/6 divided by 2 is 2/3.
Answer:
2/3
Step-by-step explanation:
4 2x2
----
6 2x3
= 2/3
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