The missing number would be 100.
e.g 400/2= 200
200/2= 100
100/2 = 50
50/2 = 25
A math club has 25 members, of which 11 are males and the rest are females. What is the ratio of males to all club members?
(With Steps)
Total members = 25
Number of males = 11
So, required ratio = 11/25
Larry and Peggy are making decisions about their bank accounts. Larry wants to deposit $350 as a principal amount, with an interest of 4% compounded quarterly. Peggy wants to deposit $350 as the principal amount, with an interest of 6% compounded monthly. Explain which method results in more money after 2 years. Show all work.
Peggy's method will make more money.
What is compound interest?Compound interest is the sum of interest on principal and interest on interest of previous period.
Given, that principal is same in both cases,
Also, Peggy will get total interest = 2×6 = 12%.
Whereas, Larry will get 1 % per quarter compounded quarterly.
Therefore, Larry will get (101/100)⁸%.
Hence, 12 > (101/100)^8 and Simple interest method will make more money.
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Sally has saved 41 quarters from washing cars. How many cents does Sally have ?
Answer:
Sally has $10.25 or 1,025 pennies
Step-by-step explanation:
Mariam is going to invest $3,000 and leave it in an account for 13 years. Assuming the interest is compounded monthly, what interest rate, to the nearest hundredth of a percent, would be required in order for Mariam to end up with $6,200?
Answer:
8.21%
Step-by-step explanation:
r = (1/t)(A/P - 1)
t = 13
A = 6200
P = 3000
1 6200
r = (-------) ((------------) - 1))
13 3000
1 31
r = (-------) ( ------ - 1)
13 15
1 16
r = (-------) ( ------ )
13 15
16
r = -------- = 0.0820512
195
r = 0.0820512 x 100 = 8.20512
r ≈ 8.21%
I hope this helps!
Answer:
Step-by-step explanation:
Compounded Monthly:
Use A=P(1+r/n)^nt
A=6200
P=3000
t=13
n=12
Plug in and simplify:
1. Multiply 12 times 13
2. Divide out the 3000
3. Raise both sides to the 1/156 power to cancel out the exponent
4. Subtract 1 from both sides
5. Multiply by 12 on both sides
R should equal 0.0559716
That is about 5.60%
5.60%
what does a scatter plot indicate? the correlation between variables the limitations of the correlation coefficient the general nature of the relationship between variables the shared variance between two variables
The scatter plot indicates the correlation between variables.
Because they can demonstrate the degree of connection, if any, between the values of observed quantities or events, scatter plots are crucial in statistics (called variables). The points seem randomly dispersed on the coordinate plane if there is no association between the variables. The points cluster close to a straight line if there is a strong association. Scatter plots are practical tools for data visualization that can be used to show a trend.
Data visualization that depicts the relationship between two numerical variables is known as a scatterplot. The values for the two variables are used to depict each member of the dataset as a point with x-y coordinates that correspond to those values.
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How do you write coordinates in XY?
We use the format (x, y) to write the coordinates in format XY. Coordinates XY is a coordinate that use in Cartesian coordinate.
What is Cartesian coordinate?
Cartesian coordinate is system to draw a specific location of an unique point in the numerical condition that oriented in the two constant line where the vertical line called ordinate or Y and the horizontal line called abscess or X. The Cartesian coordinate commonly use in architecture or a design of a certain object that has a certain dilate with its original plan. This design later is use to control the construction process of the original object.
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if h(x) = -7(x2 - 8) + 2, find the value of h(-5).
Answer:
h(-5) = -117
Step-by-step explanation:
h(x) = -7(x² - 8) + 2 h(-5)
h(-5) = -7((-5)² - 8) + 2
h(-5) = -7(25 - 8) + 2
h(-5) = -7(17) + 2
h(-5) = -119 + 2
h(-5) = -117
find the length indicated.
Answer:
none
Step-by-step explanation:
(2x + 3) and (2x - 3) are special factors because the only thing that distinguishes between the
two is that one has a negative term and the other does not.
What is the special name for these binomials?
O y-intercepts
Operfect squares
O x-intercepts
O conjugates
1 pts
Question 14
Answer: Conjugates
Step-by-step explanation:
16severings of a drink you need 8 scoops & 1gallon. You need to make 32 servings how many scoops and gallons do you need
Answer:
Step-by-step explanation:
based on the median of the samples, what is a reasonable estimate of the number of students that bike to school? Round to the nearest whole number based on the median of the samples, what is a reasonable estimate of the number of students that bike to school? Round to the nearest whole number based on the median of the samples, what is a reasonable estimate of the number of students that bike to school? Round to the nearest whole number8957647h3ny4y4y7
Given z₁ = 4 cos(cos(π/4)+isin(π/4)) and z₂=2(cos(2π/3)+isin(2π/3)), i, find z₁z₂ ii, find z₁/z₂
z_1 and z_2 are complex number;
i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))
ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))
To calculate z₁z₂ and z₁/z₂, we need to perform the complex number operations on z₁ and z₂. Let's break down the calculations step by step:
i) To find z₁z₂, we multiply the magnitudes and add the angles:
z₁z₂ = 4cos(cos(π/4) + isin(π/4)) * 2cos(2π/3) + isin(2π/3))
= 8cos((cos(π/4) + 2π/3) + isin((π/4) + 2π/3))
= 8cos(7π/12) + isin(7π/12)
ii) To find z₁/z₂, we divide the magnitudes and subtract the angles:
z₁/z₂ = (4cos(cos(π/4) + isin(π/4))) / (2cos(2π/3) + isin(2π/3))
= (4cos((cos(π/4) - 2π/3) + isin((π/4) - 2π/3))) / 2
= 2cos(π/12) + isin(π/12)
i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))
ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))
Please note that the given calculations are based on the provided complex numbers and their angles.
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jorge makes fruit snacks for his friends. He uses 1 1/2 apples to make 3 fruit snacks.
How many apples does jorge need to make 1 fruit snack
Answer:
Jorge needs 1/2 apple to make the snack.
Given: EB = EC, AAED is equilateral and equiangular. Prove: AACD = ADBA
Answer:
Statement Reason
Line EB is congruent to line EC 1. Given Triangle AED is equilateral 2. GivenLine BE + Line ED = BD 3.Segment Addition PostulateLine CE + Line EA = CA 4.Segment Add. PostulateBD is congruent to CA 5. Transitive Property?AD is congruent to AD 6. Reflexive Prop.Angle EAD is congruent to Angle EDA 7. Def. of Equilateral Triangle?Tri. ACD is congruent to Tri. DBA 8. SAS congruencyif s ( m ) represents the salary (per month), in hundreds of dollars, of an employee after m months on the job, what would the function r ( m )
The function r ( m ) $12 more than the salary of someone who has worked for m months.
What is function?
A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would say that y is a function of x.
If we have S(m) represents salary after m months i.e. y=S(m) will be the graph of salary Corresponding to the number of months m.
So, we have \(m+12 \geqslant 12$,\)
\($\Rightarrow S(m+12)$\) will give us the value of Salary after 12 months of the Job.
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What’s the range of 4x+5?
Answer:261
Step-by-step explanation:
4x4x4x4=4x4=16\16x4=64x4=256\256+5=261
Barry can do a piece of work in 20 days Malaysia is 25% more efficient and then her barry. the number of days taken by Malaysia to do the same piece of work is?
Answer:
15days
Step-by-step explanation:
number of days Barry work = 20
If Malaysia is 25% efficient
Number of days less than Barry = 25% of 20
Number of days less than Barry = 0.25 * 20
Number of days less than Barry = 5
Number of days worked by Malaysia = 20 - 5
Number of days worked by Malaysia = 15days
Question 17 show work
The horizontal distance between the plane and the airport can be found to be approximately 4, 602 feet.
How to find the horizontal distance ?To solve this problem, we can use trigonometry. Specifically, we'll use the tangent function, which relates the angle of elevation, the horizontal distance, and the altitude in a right triangle.
Let x be the horizontal distance between the plane and the airport. We can set up the following equation using the tangent function:
tan(θ) = opposite side / adjacent side
tan(41°) = 4000 ft / x
Now, we can solve for x:
x = 4000 ft / tan(41°)
x ≈ 4000 ft / 0.8693 (rounded to 4 decimal places)
x ≈ 4601.68 ft
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Please help this needs to be done QUICK help out
Answer:
-3
Step-by-step explanation:
Let's take 2 points from the chart. (3,-4) and (1,2) and use the formula to get the answer.
y2-y1 -4-2
____= _____ = -6/2 = (simplify) -3/1 or -3
x2-x1 3-1
Hope this helps!
what is the smallest numerical value that a poisson random variable can be?
A Poisson random variable represents the number of occurrences of an event in a fixed interval of time or space. It is a discrete random variable, which means that it can only take on integer values, starting from zero. Therefore, the smallest numerical value that a Poisson random variable can be is zero.
This means that there is a possibility that the event will not occur at all during the given interval. For example, if we are counting the number of customers who visit a store in an hour, it is possible that no customers show up during that hour, resulting in a Poisson random variable of zero.
However, the probability of this occurring depends on the average rate of the event occurring, which is denoted by the parameter λ in the Poisson distribution. The larger the value of λ, the smaller the probability of a Poisson random variable being zero.
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martin is pasting pieces of square colored paper of equal size on to a boy measuring 72 cm by 90 cm if only whole square pieces are used and the board is to be completely covered find the largest possible length of the side of each square colored paper
Answer:
18x18 cm
Step-by-step explanation:
This problem translates to the greatest common factor (GCF) of 72 and 90, which is 18.
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Then the greatest common factor is 18.
4x18 = 72
5x18 = 90
so with 4x5=20 pieces of paper, the boy can be covered. (Boy?)
0.2(3k+1)=-0.4-(-0.2-0.1K)
Answer:
k=−0.8
Step-by-step explanation:
Start with the equation: 0.2(3k+1)=-0.4-(-0.2-0.1K)
Use distributive property on each side of the equation. For the left side, distribute 0.2 into 3k and 1, and for the right side, distribute -1 into -0.2 and -0.1k. (We use a -1 because the negative sign on the outside of the parenthesis is equivalent to -1)
(0.2)(3k) + (0.2)(1) = 0.6k + 0.2
(-1)(-0.2) + (-1)(-0.1k) = 0.2 + 0.1k
New equation: 0.6k + 0.2 = -0.4 + 0.2 + 0.1k
Now we can combine like terms on the right side. (-0.4 and 0.2)
0.6k + 0.2 = 0.1k - 0.2
Now to get rid of k on one side, we can subtract 0.1k from the right side.
(0.6k - 0.1k) + 0.2 = (0.1k - 0.1k) - 0.2
0.5k + 0.2 = -0.2
Now we need to get 0.5k by itself, so we'll subtract the 0.2 on both sides.
0.5k + (0.2 - 0.2) = (-0.2 - 0.2)
0.5k = -0.4
To get k by itself, we must divide both sides by 0.5.
(0.5k / 0.5) = (-0.4 / 0.5)
k = -0.8
rationalise the denominator
\( 1\div 7 + 3 \sqrt{2} \)
The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.
To rationalize the denominator 1/7 + 3√2,
A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.
Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.
Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).
Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).
Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!
The final answer is (1 + 21√2)/(21√2).
The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.
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Ver en español
Using her garden hose, Camilla filled up a 4-gallon bucket in just
1
6
of a minute. At what rate does water flow through the hose?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
gallons per minute
If Camila filled up a 4-gallon in just 1/6 of a minute, then the rate of water flow through the hose is 24 gallons/minute
Camila filled up a 4-gallon bucket in just 1/6 of a minute
Here we have to use the unitary method to find the rate of water flow through the hose
The quantity of water filled in 1/6 of a minute= 4 gallon
The quantity water filled in one minutes = The quantity of water filled in 1/6 of a minute ÷ (1/6)
Substitute the values in the equation
= 4÷(1/6)
= 4×6
= 24
The rate of water flow through the hose = 24 gallons/ minute
Hence, if Camila filled up a 4-gallon in just 1/6 of a minute, then the rate of water flow through the hose is 24 gallons/ minute
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The rockville recruitment agency just placed howard jacobson in a job as an assistant pharmacist. The job pays $51. 2k. The agency fee is equal to 40% of the first three weeks' pay.
The weekly pay of Howard as an assistant pharmacist in Rockville recruitment is $984.66
The payment for the recruitment agency job = $51,200
The agency fees = 40% of the first three week's pay
Howard's weekly salary can be found using the formula,
W = A / N
where W is the weekly salary
A is the annual salary
N is the number of weeks
Let us substitute the known values in the above equation, we get
W = 51,200 / 52 [ Total no. of weeks in one year will be 52 weeks]
= $984.66
Thus, his weekly pay for Howard as the recruitment agency job is $984.66
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The full question is
The Rockville Employment Agency just placed Howard Jacobson in a job as a junior pharmacist. The job pays $51.2k. The agency fee is equal to 40% of the first three weeks' pay. What is Howard's weekly salary to the nearest cent?
Imagine you are dealing with 15 class classification problem. What is the maximum number of discriminant vectors that can be produced by lda?.
For a 15-class classification problem, the maximum number of discriminant vectors would be 14.
In Linear Discriminant Analysis (LDA), the maximum number of discriminant vectors that can be produced is equal to the number of classes minus one.
For a 15-class classification problem, the maximum number of discriminant vectors would be 15 - 1 = 14.
LDA aims to determine a linear combination of features that maximizes the separation between different classes while minimizing the variance within each class.
The resulting discriminant vectors are used to project the data onto a lower-dimensional space, where the classification task becomes simpler.
It's important to note that the number of discriminant vectors is determined by the number of classes and not the number of samples in the dataset.
However, it's also worth mentioning that in practice, the number of available samples and the characteristics of the data can impact the effectiveness of LDA and the interpretability of the results.
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Greta sells advertising space for her school yearbook. Last year, a quarter-page ad cost $110.
This year, Greta's teacher asks her to mark down the price by 15% to attract more sponsors.
Greta wants to know the price after the markdown.
☐ Let q equal the price of a quarter-page ad after the markdown.
Which equation can you use to find q?
q=110-0.15(15)
q=110 +0.15(110)
q=110 - 0.15(110)
q=110 +0.15(15)
The equation that could be used to find q is q = 110-0.15(110) where q equal the price of a quarter-page ad after the markdown.
According to the question,
We have the following information:
Cost of a quarter-page ad cost = $110
Mark down in the price = 15%
Now, q represents the price of a quarter-page ad after the markdown.
(Note that when we remove the sign of % means that the number has to be divided by 100.)
So, the equation will be the difference of the markdown price from the original price:
q = 110-(15/100)110
q = 110-0.15*110
q = 110-0.15(110)
Hence, the correct option is the third one.
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Potenciación hay dice lo que hay que hacer ayuda
Using laws of indices, we can easily find the values of expressions below.
Laws of IndicesTo solve this given problem, we have to apply different laws of indices.
12.
\((x^4 * x^-8)^3 = x^-^1^2=\frac{1}{x^1^2}\)
13.
\((a^5b^2)^-^3* (a^-^2)^-^3 = \frac{1}{a^9b^6}\)
14.
\(\frac{(m^-^3n^-^4)^8}{(m^2n^5)^-^7}=\frac{n^3}{m^1^0}\)
15.
\(\frac{(p^-^2^0^0q^1^7^0)^-^3^0}{(p^4^0q^5^0)^9^0} =\frac{p^2^4^0^0}{q^9^6^0^0}\)
16.
\(\frac{[(x^2y^8)^-^1]^3*(y^-^1^2)^6}{(x^-4y^5)^2*x^6(y^-^1)^3}=\frac{1}{x^4y^1^0^3}\)
17.
\(\frac{(2m^-^7n^8)^6}{4m^9n^-^5)^-^3}*\frac{(8m^-5n)^6}{(2mn^3)^-5} = \frac{134217728n^7^4}{m^7^6}\)
From the above calculation, we can solve the respective given expression using indices.
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A motorcycle travels 1076 meters in 12 minutes. What was the average speed of the motorcycle?
Answer:
89.6 meters per minute
Step-by-step explanation:
unit 3 lesson 1 NEED HELP ASAP!!!
Answer:
Step-by-step explanation:
For number 8 the answer is y=2x+7 because our equation is y+1=2(x+4) distribute the 2 to get y+1=2x+8 and you then do inverse operation by subtracting the 1 on both sides to get y=2x+7 and the slope intercept form is y=mx+b so that’s why
for number 9 the answer is (0,7) as to find the y-intercept, substitute in 0 for x and solve for y as y+1=2((0)+4) distribute the 2 after doing 0+4 to get y+1=8 inverse operation so subtract 1 to get 7 so that’s why it’s (0,7)
and for 10 the answer is 2x−y=−7
jackie is saving money for a coat that costs $121 if she already has $61 and saves $15 each week in how many weeks can she buy the coat make a function table
Answer:
4 weeks
Step-by-step explanation:
Total cost of coat = $121
Money saved = $ 61
Will save $15 per week
So let x = number of week = $15x
Money saved + will save = Total cost of the coat
$61 + $15x = $121
-$61 = - $61
$15x = $60
x = $60 ÷ 15
x = 4