1945 men and 2849 women regiter to audition for a inging competition. The number of participant who are not ucceful in their audition what’ five time the number of thoe who are ucceful. How many participant were ucceful
1945 men and 2849 women register to audition for a singing competition. The number of participants who are not successful in their auditions what’s five times the number of those who are successful. There are 799 participants were successful.
The successful participants can be calculate by solving a linear equation as follows
First, it's crucial to understand linear equations.
Equation connects the two algebraic expressions with an equal to sign to demonstrate the equality between the two algebraic expressions.
Linear equations are those with one degree.
In this case, a linear equation must be resolved.
1945 for the men's total
Women are present in 2849.
Participants in total: 1945 + 2849 = 4794
Let x be the proportion of participants that were successful.
Men who failed were 5 times as numerous.
Participants in total: 5x + x = 6x
Due to the issue,
The linear formula is
6x = 4794
x = 4794/6
x = 799
799 of the participants had success.
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i need help on question 1 !! geometry :)
Answer:
I attached a pic with the answer.
Answer:
angle one is 30 angle two is 60
Step-by-step explanation:
Find the sum of (8 + 2 − 4) and (3 − 5). write the answer as a mathematical expression
Answer:
4
Step-by-step explanation:
8+2=10
10-4=6
3-5=-2
6 + -2=4
pls help thx your the best
Answer:
(- 2, 16 )
Step-by-step explanation:
y = 8x + 32 → (1)
y = - 8x → (2)
substitute y = 8x + 32 into (2)
8x + 32 = - 8x ( add 8x to both sides )
16x + 32 = 0 ( subtract 32 from both sides )
16x = - 32 ( divide both sides by 16 )
x = - 2
substitute x = - 2 into either of the 2 equations and evaluate for y
substituting into (2)
y = - 8(- 2) = 16
solution is (- 2, 16 )
HELP!!
GIVING BRAINLIEST!!
Find the slope and the y-intercept of the graph of y=−5−12x.
Answer:
Slope: -12
Y-Intercept: (0,-5)
Step-by-step explanation:
HELP ASAP!!!!!!!!!
Ollie is investing $15000 in an account that earns 4.75 simple interest. About how many years will it take to have a balance of $23550 his account?
Answer:
Step-by-step explanation:
23550=15000(1+.0475t)
t=12
Are the Rectangles Similar? Why you why not?
Answer:
The rectangles are similar.
Step-by-step explanation:
They are similar because the rectangle on the bottom is two times bigger than the rectangle on the top.
the greatest of the 21 positive integers in a certain list is 16. the median of the 21 integers is 10. what is the least possible average (arithmetic mean) of the 21 integers?
The least possible average (arithmetic mean) of the 21 integers is 6.
Let the list be arranged in ascending order.The median of the list, i.e., the 11th term in the list, is 10.The greatest number in the list, i.e., the 21st term, is 16.We need to minimize the mean, so we will choose the smallest numbers.For the first 10 elements, we can choose the smallest positive integer, i.e., 1.The first 10 terms are all equal to 1.We must choose numbers greater than or equal to 10 for elements 12 to 20. We will choose 10 in order to keep the average at its minimum.The terms from the 11th to the 20th position are equal to 10.The 21st term is 16.The sum of all the terms is (1*10) + (10*10) + 16.The sum of all the terms is 10 + 100 + 16.The sum of all the terms is 126.The mean is calculated as the sum of all terms divided by the total number of terms.The mean is 126/21.The mean is 6.To learn more about the arithmetic mean, visit :
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Can someone please explain pre-algebra problems? (example: 2x - 7 = 3 (x - 4) or 5x + 3 < 4x - 1) questions like those confuse me. I have no clue on where to start for any of them.
1. if 4 + 4 = x you'd say x = 8
pre-algebra wants you to get used to using letters like x in math
where x = the answer
put x on one side of the equal sign & the numbers on the other side
letters like x help people do bigger & is more complicated math
2. in real life math the symbols
less than or < means "up to" or "at most" &
great than or > means "at least"
which helps with things like money & prices
like "that chair is at least $100" or "chair > $100"
3. negative numbers are backwards:
-4 -5 -6 are considered smaller than -3
Answer:
in pre algebra
you have to do the math so that you
put x on one side of the equal sign &
the numbers on the other side
x = the answer
for
1.
2x - 7 = 3 (x - 4)
multiply 3 with (x - 4)
you do this by
multiplying 3 with x and
multiplying 3 with- 4
2x - 7 = 3 (x - 4)
2x - 7 = 3x - 12
put x on one side of the equal sign & the numbers on the other side
2x - 7 = 3x - 12
-2x = -2x
2x -2x = 0 & 7 comes down.
3x -2x = 1x & - 12 comes down
0 - 7 = 1x - 12
add 12 on both sides
- 12 + 12 = 0
- 7 + 12 is the same as 12 - 7 which is 5
0 + 5 = 1x - 0
you dont have to show the 0
& if its 1x you you dont have to show the 1
5 = x or x = 5
2.
5x + 3 < 4x - 1
for now treat < like an equal sign
in real life math the symbols < & > mean at least or at most
which helps with things about money
5x + 3 < 4x - 1
subtract -4x on both sides
5x + 3 < 4x - 1
-4x -4x
1x + 3 < 0 - 1
subtract 3 on both sides
1x + 3 < 0 - 1
1x - 3 < 0 - 3
x < - 3
answer means the answer is
at most -4
up to -4
& less than -3 because
-4 is the highest number thats less than -3
negative numbers are backwards
-4 -5 -6 are considered smaller than -3
Step-by-step explanation:
x is called a variable
if someone wrote
4 + 4 = x
you'd say x = 8, right?
pre-algebra wants you to get used to using letters like x in math
because letters like x help people do math that has much bigger numbers & is more complicated
this higher math companies like banks & hospitals help people deal with money & medicine
problems in pre-algebra
the answers usually look like
x = the answer
Find the area of the green sector if m2 A-T
and the circle has a radius of 10 inches.
The area is:
A = πR² ------- 2π
A = x --------- π/6
x = πR²/12
x = π.(10)²/12
x = 26.18 in²
Hope it helps x
i took a sample of the grade point averages for students in my class. for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89. the standard error for the sample was:
The standard error for the sample was 0.13 when "for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89."
What is standard error?The standard deviation of a statistic's sampling distribution, or an estimate of that standard deviation, is the statistic's standard error. The term "standard error of the mean" is used when referring to a statistic that is the sample mean. By dividing the standard deviation by the square root of the sample size, the standard error is determined. By taking into account the sample-to-sample variability of the sample means, it provides the precision of a sample mean.
Here,
The standard error=standard deviation/√number of samples
=0.65/√25
=0.65/5
=0.13
When "for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89," the standard error for the sample was 0.13.
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In a survey conducted on an SRS of 200 American adults, 72% of them said they believed in aliens Give a 95% confidence interval for percent of American adults who believe in aliens 6. Section 7.2; Problem 6: Have the assumptions been met? A. Yes. Values of 72 and 28. B. Yes. Values of 144 and 56. C. Yes. Values of 14400 and 5600. D. No. Values of 0.72 and 0.28. E. No. Values of 14.4 and 516
The assumptions been met (0.6581,0.7819).
What is American adults?
In 2020, the U.S. Census Bureau counted 331.4 million people living in the United States; more than three-quarters (77.9%) or 258.3 million were adults, 18 years or older — a 10.1% increase from 234.6 million in 2010.
Given that.
\($$\begin{aligned}& p=0.72 .(1-p)=1-0.72=0.28 \\& n=200 .\end{aligned}$$\)
At \($95 \%$\) confidence level x value is 1.96
z=1.96
So r
A 95 % confidence interval bor percent of American adults who beleive in Aliens is,
\($$\begin{gathered}p \pm 2 \sqrt{\frac{p \times q}{n}} \\\therefore 0.72+1.96 \sqrt{\frac{0.72 \times 0.28}{200}} \\\therefore 0.72 \pm 1.96 \sqrt{0.0010} \\0.72 \pm 0.0619 \\\therefore \quad(0.6581,0.7819)\end{gathered}$$\)
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in the schedule of cost of goods sold, which of the following is true? cost of goods available for sale
In the schedule of cost of goods sold, the cost of goods available for sale represents the total cost of all goods that were available for sale during a particular period.
The schedule of cost of goods sold is an important financial statement that shows the cost of goods that a company has sold during a particular period. The cost of goods available for sale is a key component of this statement and represents the total cost of all goods that were available for sale during the period.
The cost of goods available for sale is calculated by adding the beginning inventory to the cost of goods purchased during the period. This calculation gives the total cost of all goods that a company had available for sale during the period.
Once the cost of goods available for sale is determined, the cost of goods sold can be calculated by subtracting the ending inventory from the cost of goods available for sale. This calculation gives the cost of all goods that were sold during the period.
Overall, the schedule of cost of goods sold is an important financial statement that helps companies track their inventory and understand their cost of goods sold. The cost of goods available for sale is a critical component of this statement and represents the total cost of all goods that a company had available for sale during a particular period.
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HELP ASAP!!! select all the descriptions that apply to the transformation!
Answer: A and B
Step-by-step explanation:
The shape is moving from right to left and down
find the gcd and lcm for each of the following numbers using the prime factorization method. a. 11 and 19 b. 140 and 320
Using the prime factorization method, we can find the greatest common divisor (GCD) and least common multiple (LCM) for the given numbers.
a. For the numbers 11 and 19:
To find the GCD, we compare their prime factorizations. Since 11 and 19 are both prime numbers, their only common factor is 1.
Therefore, the GCD is 1.
To find the LCM, we multiply the numbers together since they have no common factors. Hence, the LCM of 11 and 19 is 11 * 19 = 209.
b. For the numbers 140 and 320:
To find the GCD, we factorize both numbers into their prime factors. The prime factorization of 140 is 2² * 5 * 7, and the prime factorization of 320 is 2⁶ * 5. To find the GCD, we take the lowest exponent for each common prime factor, which is 2² * 5 = 20. Therefore, the GCD of 140 and 320 is 20.
To find the LCM, we take the highest exponent for each prime factor present in the numbers. Thus, the LCM of 140 and 320 is 2⁶ * 5 * 7 = 2240.
In summary, for the numbers 11 and 19, the GCD is 1 and the LCM is 209. For the numbers 140 and 320, the GCD is 20 and the LCM is 2240.
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Given that Arccos (√3/2)=β, what are all the angle measurements for right triangle ABC?
Answer:
30°, 60° and 90°
Step-by-step explanation:
Given the expression Arccos (√3/2)=β, we can use the expression to calculate one of the acute angles in a right angled triangle.
Note that a right angled triangle is made up of two acute angles and a right angled (90°)
Let's get one of the acute angles first
If Arccos (√3/2)=β
β = cos^-1 √3/2
β = 30°
This shows that one of the acute angles is 30°
To get the third angle, we know that sum of angles in a triangle is 180° and since we already know two of the angles, i.e 90° and 30°, we can get the third angle.
90+30+x = 180
120+x = 180
x = 180-120
x = 60°
All the angle measurement for the right angled triangle are 30°, 60° and 90°
Plssss help it's my last assignment
(1) 6.1 x 10⁷ is approximately 2.9 x 10¹¹ times larger than 2.1 x 10⁻⁴ as estimated.
(2) 1.9 x 10⁻⁸ is approximately 4.5 x 10⁴ times larger than 4.2 x 10⁻¹³ as estimated.
What is the estimation of the numbers?
To estimate how many times larger 6.1 x 10⁷ is than 2.1 x 10⁻⁴, we can divide the two numbers:
6.1 x 10⁷ ÷ 2.1 x 10⁻⁴
= 6.1 x 10⁷ ÷ (2.1/10⁴)
= 6.1 x 10⁷ x (10⁴/2.1)
≈ 2.9 x 10¹¹
To estimate how many times 1.9 x 10⁻⁸ is than 4.2 x 10⁻¹³, we can divide the two numbers:
1.9 x 10⁻⁸ ÷ 4.2 x 10⁻¹³
= 1.9/4.2 x 10⁵
≈ 4.5 x 10⁴
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please help me I will give brainliest
Answer:
potential to kinetic energy
can someone please help asap !!!
Answer:
a = -1
b = -9
Step-by-step explanation:
when x = -2 put -2 for x in the equation:
a(3- (-2)) = -2*(-2) + b and then solve
a(3+2) = 4+b
5a = 4+b
then look at the numbers in the box and try for which number this equation will work. when you put a = -1 and b = -9 you will see it is equal on both sides because each side is -5
Water is being pumped into a 10-foot-tall cylindrical tank at a constant rate.
The depth of the water is increasing linearly.
At 1:30 p.m., the water depth was 2.4 feet.
It is now 4:00 p.m., and the depth of the water is 3.9 feet.
What will the depth (in feet) of the water be at 5:00 p.m.?
Answer: 4.5
Step-by-step explanation:
What is his total interest?
Answer:
His interest is $2340 his total is $8840
Step-by-step explanation:
Answer:2340$
Step-by-step explanation:
1. Do 6500x 0.09 to get 585
2. Then multiply it by 4 since it is his interest rate for 4
3. 585x4=2340
Solve x2 - 16x + 60 = -12 by completing the steps.Next, add___to each side of the equation to complete the square.
To complete the square for the equation x2 - 16x + 60 = -12, add 64 to each side of the equation. This will give us x2 - 16x + 124 = 52.
Then, factor out the coefficient of x2 (1) and the coefficient of x (16). This will give us (x - 8)2 = 52. Finally, subtract 52 from both sides to get (x - 8)2 = 0. Solving for x yields x = 8.
Equations are mathematical statements that express the equality of two expressions. They involve one or more unknowns that are represented by variables and involve numbers, constants, and operators. An equation states that the expressions on either side of the equal sign have the same value.
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In a lab experiment, a population of 100 bacteria is able to quadruple every hour. Which equation matches the number of bacteria in the population after 7 hours?
The equatiοn that matches the number of bacteria in the population after 7 hours is \($\begin{array}{l}{{\mathrm{P(t)=Po(4)7}}} \end{array}\). The number of bacteria in the population after 7 hours is 1638400 bacteria.
What is Functiοn?In mathematics, a functiοn is a relatiοn between a set οf inputs and a set οf pοssible οutputs with the prοperty that each input is related tο exactly οne οutput. It can be represented using an equatiοn οr a graph.
We have initial pοpulatiοn 100
it is quadrupled every hοur
\($\mathbf{P}(\mathbf{t})\mathop=\mathbf{P}_{\mathbf{O}}(\mathbf{4})\mathbf{t}$\)
where.
R(t) is population at any time t
Po is initial population
4 is because it is quadruple
t is time in hours
We have tο find after 7 hοurs
\($\begin{array}{l}{{\mathrm{P(t)=Po(4)7}}}\\\\ {{\mathrm{P(t)=100(4)7}}}\end{array}$\)
P(t) = 1638400 bacteria
Thus, equation the matches the number of bacteria in the population after 7 hours is \($\begin{array}{l}{{\mathrm{P(t)=Po(4)7}}} \end{array}\). The number of bacteria in the population after 7 hours is 1638400 bacteria.
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how can we factorise the expression: 2x^6+17x^3+8?
Answer:
\( (a + 2)( {a}^{2} - 2a + 4 )(2 {x}^{ 3} + 1) \)
Step-by-step explanation:
\(2x^6+17x^3+8 \\ = 2x^6+16x^3 + {x}^{3} +8 \\ = 2{x}^{3} ( {x}^{3} + 8) + 1( {x}^{3} + 8) \\ = ( {x}^{3} + 8)(2 {x}^{ 3} + 1) \\ = ( {x}^{3} + {2}^{3} )(2 {x}^{ 3} + 1) \\ = (a + 2)( {a}^{2} - 2a + {2}^{2} )(2 {x}^{ 3} + 1) \\ = (a + 2)( {a}^{2} - 2a + 4 )(2 {x}^{ 3} + 1) \\ \)
A triangle cannot have more than _________ right angle.
Answer:
Y hzuzjz is a complete* of the following elements has the largest atomic size in the world is the difference between
Answer:
A triangle cannot have more than 1 right angle ..
an agronomist measured the heights of n corn plants. the mean height was 220 cm and the standard deviation was 15 cm. calculate the standard error of the mean if (a) n = 25 (b) n = 100
a. The standard error of the mean for n = 25 is 3 cm
b. The standard error of the mean for n = 100 is 1.5 cm.
Agronomist measured the height of n corn plants. If the mean height is 220 cm and the standard deviation is 15 cm, then we can calculate the standard error of the mean for n = 25 and n = 100 as shown below -
(a) For n = 25:
If n = 25, then the formula for calculating the standard error of the mean is as follows -
Standard Error of the Mean = (Standard Deviation / √n)
Given,
Standard deviation (σ) = 15 cm
Number of samples (n) = 25 cm
We can calculate the standard error of the mean as follows -
Standard Error of the Mean = (Standard Deviation / √n)
= (15 / √25)
= 3
Hence, the standard error of the mean for n = 25 is 3 cm.
(b) For n = 100:
If n = 100, then the formula for calculating the standard error of the mean is as follows -
Standard Error of the Mean = (Standard Deviation / √n)
Given,
Standard deviation (σ) = 15 cm
Number of samples (n) = 100 cm
We can calculate the standard error of the mean as follows -
Standard Error of the Mean = (Standard Deviation / √n)
= (15 / √100)
= 1.5
Hence, the standard error of the mean for n = 100 is 1.5 cm.
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Find the measure of angles X and Y, as well as the values of x and y:
W
52°
(6y – 2)
Х
(4x + 20)°
Y
Value: 10
Angle X measures
degrees.
Angle Y measures
degrees
The value of xis
degrees.
Tha value of y is
degrees.
Answer:
Step-by-step explanation:
By the Isosceles Triangle Theorem, if 2 sides of a triangle are congruent to each other, than the angles opposite those sides are also congruent. We see by the markings on the triangle that WX and WY are congruent. That means that angle Y (which is across from WX) and angle X (which is across from WY) are the same measure. We can set them equal to each other because of this:
6y - 2 = 4x + 20
But we have a problem because we have 2 unknowns.
Let's try this out: the Triangle Angle-Sum Theorem says that all the angles of a triangle have to add together to equal 180. That means that
52 + 6y - 2 + 4x + 20 = 180.
But we STILL have a problem with those 2 unknowns. BUT...
If angle X and angle Y are the same, then we don't need both 6y - 2 AND 4x + 20. We only need 1 of those multiplied by 2 because they're the same measure. Changing things up a bit to reflect that:
52 + 2(4x + 20) = 180 and
52 + 8x + 40 = 180 and
8x = 88 so
x = 11.
That means that
4(11) + 20 = 64 which is the measure of both angles X and Y.
Let's check:
64 + 64 + 52 better equal 180. And it does, so we're good.
The value of x is found this way:
4x + 20 = 64 and
4x = 44 so
x = 11 which we already knew. Now for y:
6y - 2 = 64 and
6y = 66 and
y = 11 also.
If you want to save enough money today to end up with $5000 one year from now, and the interest rate is 1.75%, how much money do you have to save today? Round your answer to the nearest dollar. Do not include a dollar sign in your answer.
The amount of money you need to save today is $4,926.
To calculate the amount of money you need to save today, you can use the formula for calculating future value with compound interest:
Future Value = Present Value * \((1 + Interest Rate)^T^i^m^e\)
In this case, the future value is $5,000, the interest rate is 1.75% (or 0.0175), and the time is 1 year. We need to solve for the present value.
Rearranging the formula, we have:
Present Value = Future Value /\((1 + Interest Rate)^T^i^m^e\)
Plugging in the values, we get:
Present Value = $5,000 / \((1 + 0.0175)^1\)
Present Value = $4,926
Therefore, you need to save $4,926 today in order to have $5,000 one year from now.
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(Just the first question) please help!
Answer:
Altitude: 11 1/4
Step-by-step explanation:
-3 1/4 x 9 = -29 1/4
Leftover from 35: 5 3/4 + 5 1/2 = 11 1/4
Good luckkk!!