Step-by-step explanation:
Annie: 4 dollars = $4 11 dimes = 11 x 0.10 = $1.1 ( since 1 dime = 0.10 dollars)
4 pennies =4 x 0.01= $0.04 ( since 1 penny = 0.01 dollars)
Tommy 3 dimes = 3 x 0.10 = $0.3 3 pennies = 3x 0.01 = $0.03
Adding the values: 4 +1.1+0.04+0.3+0.03 = $5.47
A researcher is comparing the effectiveness of three devices designed to help people who snore. There are 120 people who snore participating in the experiment. Using a table of random digits, the researcher will randomly place the participants into three equally sized treatment groups suitable for comparison.
How many unique random numbers need to be selected from the table of random digits?
3
40
80
120
Answer:
40
Step-by-step explanation:
Divide 120 by 3
Meaning you are taking the total nuber by the nuber which is going to be divided
The total number of unique random numbers needed is 120 numbers.
What is Statistic?A statistic is a piece of data derived from a subset of a population. It's the inverse of a parameter — census data, which polls everyone.
To randomly assign 120 people into three equally sized treatment groups, the researcher needs to select 120 unique random numbers from the table of random digits.
Each number will correspond to one of the 120 participants and determine which treatment group they will be assigned to.
Since there are three equally sized groups, each group should have 40 participants. Therefore, the researcher needs to select 40 unique random numbers for each group.
So, the total number of unique random numbers needed is:
3 groups x 40 numbers per group = 120 numbers
Therefore, the correct answer would be option (D) 120.
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The roots of the quadratic equation $z^2 + bz + c = 0$ are $-7 + 2i$ and $-7 - 2i$. What is $b+c$?
Answer:
67
Step-by-step explanation: Given the quadratic equation $z^2 + bz + c = 0$, Vieta's formulas tell us the sum of the roots is $-b$, and the product of the roots is $c$. Thus,
\[-b = (-7 + 2i) + (-7 - 2i) = -14,\]so $b = 14.$
Also,
\[c = (-7 + 2i)(-7 - 2i) = (-7)^2 - (2i)^2 = 49 + 4 = 53.\]Therefore, we have $b+c = \boxed{67}$.
There are many other solutions to this problem. You might have started with the factored form $(z - (-7 + 2i))(z - (-7 - 2i)),$ or even thought about the quadratic formula.
This is the aops answer :)
The required value of b+c is 39.
What is a quadratic equation?A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.
The standard form of a quadratic equation is ax² + bx + c = 0.
Where a, b and c are constants.
The given quadratic equation,
z² + bz + c = 0
Also, the roots of the equation are -7 + 2i and -7 - 2i.
The sum of the roots
b / 1= -7 + 2i + -7 - 2i
b= -14
The product of the root
c/1 = (-7 + 2i)(-7 - 2i ) = 49 - (2i)² = 49 - 4i² = 49 + 4 = 53
c = 53
The required value of b and c
b + c = 53 - 14 = 39
The value of b + c is 39.
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2
A101
4
Which expression is equivalent to
5
4 4
4
1
2
4
TIC
?
0
0 0
2
4
Answer:
option c. 2
...........
The campers at a summer camp were asked to choose a favorite activity. The table shows the activities chosen by 200 campers.
Favorite Number of
Activity Campers
Softball 25%
Volleyball 15%
Rowing 10%
Swimming 30%
Hiking 20%
How many campers chose volleyball as a favorite activity?
There are 30 campers out of 200 who like volleyball.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.
Given that, The campers at a summer camp were asked to choose a favorite activity. The total number of campers were 200.
Favorite Number of Activity Campers :-
Softball 25%
Volleyball 15%
Rowing 10%
Swimming 30%
Hiking 20%
We are asked to find campers chose volleyball as a favorite activity,
Since, 15% of the campers choose volleyball,
That mean, there are 15% of the 200 people who chose volleyball,
Therefore,
15% of 200 = 15 /100 × 200 = 30
Hence, there are 30 campers who chose volleyball.
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What is the y intercept
Step-by-step explanation:
The y -intercept of a graph is the point where the graph crosses the y -axis. (Because a function must pass the vertical line test , a function can have at most one y -intercept . ) The y -intercept is often referred to with just the y -value.
A large carton of sour cream is 36 ounces. How many cups of sour
cream does the container hold?
Answer:
4.5 cups
Step-by-step explanation:
Exam: 05.03 Exponential and Logarithmic Functions Mid-Module Check
Solve 4x = 8x − 1
Answer:
x = 1/4
Step-by-step explanation:
subtract,simplify, and divide
2.382 rounded to the nearest hundreds answer quickly pleace
Answer:
2.38.Step-by-step explanation:
Let it be:
2.382Then, round to the nearest hundredths:
2.382≈ 2.38.After rounded it to the nearest hundreds, the number is,
⇒ 2.38
We have to given that,
Round a number 2.382 to the nearest hundreds.
Here, The number is,
⇒ 2.382
Since, Number in thousandth place is, 2
Which is less than 5.
Hence, After rounded it to the nearest hundreds, we get;
⇒ 2.382 ≈ 2.38
Therefore, The solution is, 2.38
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Help me answer this please. I'm not in school because of the pandemic and I don't want to fail my math class. (we just started doing these.)
Quadrilateral WXYZ with vertices W(0,-4), X(13,0), Y(9,-12), and Z(5,-12); scale factor: k = 3/4, center of dilation: (1,0).
W’
X’
Y’
Z’
Dilation involves changing the size of a quadrilateral or any shape
The coordinates of the image of the dilation are: [tex]W' = (1/4,-3)[/tex], [tex]X' = (10,0)[/tex], [tex]Y' = (7,-9)[/tex] and [tex]Z' = (4,-9)[/tex]
How to determine the vertices of the imageThe vertices of the pre-image are given as:
W = (0,-4)
X = (13,0)
Y = (9,-12)
Z = (5,-12)
The scale factor is given as:
k = 3/4
The center of dilation is given as:
(a,b) = (1,0)
To calculate the vertices of the image, we make use of the following formula
[tex](x'y') = (k(x-a) + a,k(y-b) + b)[/tex]
So, we have:
[tex]W' = (3/4(0-1) + 1,3/4(-4-0) + 0)[/tex]
[tex]W' = (1/4,-3)[/tex]
[tex]X' = (3/4(13-1) + 1,3/4(0-0) + 0)[/tex]
[tex]X' = (10,0)[/tex]
[tex]Y' = (3/4(9-1) + 1,3/4(-12-0) + 0)[/tex]
[tex]Y' = (7,-9)[/tex]
[tex]Z' = (3/4(5-1) + 1,3/4(-12-0) + 0)[/tex]
[tex]Z' = (4,-9)[/tex]
Hence, the coordinates of the image of the dilation are:
[tex]W' = (1/4,-3)[/tex], [tex]X' = (10,0)[/tex], [tex]Y' = (7,-9)[/tex] and [tex]Z' = (4,-9)[/tex]
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A savings account pays 4% annual interest. Another account pays 5% annual interest. How
much money is in each account if the total interest from each account is $420 and if there is
twice the amount in the 5% account than the 4% account.
Step-by-step explanation:
are you having problems with something if so message this guy
2. y = 55.(1 – 0.02)'
A. Does this function represent exponential
growth or exponential decay?
the tale-tell part of an exponential expression will be the "rate" or namely the part inside the parentheses, if the rate is less than 1, is Decay, if it's more than 1 is Growth.
(1 - 0.02) => 0.98, and 0.98 is less than 1, thus is Decay.
The given exponential function represent exponential decay.
The given function is [tex]y=55(1-0.02)^t[/tex].
The quantity decreases slowly after which the rate of change and the rate of growth decreases over a period of time rapidly. This decrease in growth is calculated by using the exponential decay formula.
[tex]Amount=Initial\ Value(1-\frac{r}{100} )^t[/tex]
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is
y=0.
Horizontal Asymptote: y=0
Graph the equation in order to determine the intervals over which it is increasing or decreasing.
Always decreasing
Therefore, the given exponential function represent exponential decay.
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How do i solve this??
-8x+6y=34
-8x-4y=44
Answer:
\/\/
Step-by-step explanation:
-8x+6y=34
(+8x) (+8x)
6y=8x+34
÷6
y=8/6x+34/6
or
y=1.3x+ 5.7
would you like me to do the other one step by step or would you like to try it going based on the other one?
Which best represents the slope of the line below?
A) -2
B) -1/2
C) 1/3
D) 3
the number 54 is a multiple of 9 TRUE OR FALSE
the number 16 is a multiple of 2 TRUE OR FALSE
the number 48 is a multiply of 9 TRUE OR FALSE
the number 32 is a FACTER of 8 TRUE OR FALSE
6 is a factor of 12 TRUE OR FALSE
Answer:
It is true for the number 54 is a multiple of 9
It is true for the number 16 is a multiple of 2
It is false for the number 48 is a multiply of 9
It is true for the number 32 is a FACTER of 8
It is true for 6 is a factor of 12
Step-by-step explanation:
9*6=54
8*2=16
9*5=45 in order to get 48 you have to multiply 8*6
8*4=32
6*2=12
Drag the tiles to the boxes to form correct pairs
What are the unknown measurements of the triangle round your answer to the nearest hundredth as needed
Answer:
1st question : m C : 28
b : 7.06
c : 3.76
Which pair of times has the longest elapsed time between the two times?
11:10 p.m. to 2:15 a.m.
9:15 a.m. to 12:35 p.m.
6:45 p.m. to 10:00 p.m.
3:30 a.m. to 6:15 a.m.
Answer:
9:15 a.m. to 12:35 p.m.
Step-by-step explanation:
A: 3 hours and 5 minutes elapsed. (Add 5 minutes to 11:10 to get 11:15, and then you add 3 hours to get 2:15 a.m. Thus, a total of 3 hours and 5 minutes elapsed.)
B: 3 hours and 20 minutes elapsed. (Add 20 minutes to 9:15 to get 9:35, and then you add 3 hours to get to 12:35 p.m. Thus, a total of 3 hours and 20 minutes elapsed.)
C: 3 hours and 15 minutes elapsed. (Add 15 minutes to 6:45 to get 7:00, and then you add 3 hours to get to 10:00 p.m. Thus, a total of 3 hours and 15 minutes elapsed.)
D: 2 hours and 45 minutes elapsed. (Add 45 minutes to 3:30 to get to 4:15, and then you add 2 hours to get to 6:15 a.m. Thus, a total of 2 hours and 45 minutes elapsed.)
PLEASE HELP ME I WILL GIVE YOU POINTS
Answer:I got 18.28
Step-by-step explanation:
so for getting the perimeter, you only need the outer line, so you sum the measurements you have for the rectangle: 1+2+2+7= 12. After that you need the circumference of the circle, you can figure it out by using the formula C = 2pi(r) You can find the radius by substracting the known sides of the rectangle attached to the circle from the bottom base and then dividing it in 2, leaving us with a radius of 2. Then we input values; C=2pi(2) which equals 4pi, but we need to divide that in half since it’s only half a circle. That leaves us with 2pi, or 6.28. Then we add the perimeter of the square, which was 12, and 6.28+12= 18.28
Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 3)(0,3) and (4,48).
Answer:
y = 3(2^x)
Step-by-step explanation:
Put the given point values in the equation and solve for 'a' and 'b'.
3 = a(b^0) = a . . . . . for x=0, y=3
The y-intercept has given us the value of 'a'.
__
The other point will tell us 'b'.
48 = a(b^4) = 3(b^4) . . . . . for x=4, y=48
16 = b^4 . . . . . . . . . . . . . . . divide by 3
2^4 = b^4 ⇒ b = 2
The exponential function is ...
y = 3(2^x)
_____
Additional comment
We can use roots to find b:
16^(1/4) = (b^4)^(1/4) = b
2 = b . . . . your calculator can do this, or √(√16) = 16^(1/4) = 2.
You have learned what astronomers think about the possibility of there being other worlds like our Earth. Based on what you learned, select all of the correct statements from the following list.
A. Most of the other planets in our own solar system are not Earth-like.
B. Astronomers think that planets are uncommon.
C. A number of planets orbiting other stars have been detected.
D. Many stars seem to have planets.
E. planets orbiting other stars are easy to detect.
F. Earth-like worlds are so small and distant that they have not yet been detected.
Based on astronomical science, the correct statements about the possibility of having other worlds like our planet Earth include:
A. Most of the other planets in our own solar system are not Earth-like.
C. A number of planets orbiting other stars have been detected.
D. Many stars seem to have planets.
F. Earth-like worlds are so small and distant that they have not yet been detected.
What is a solar system?A solar system can be defined as a collection of the outer and inner planetary (astronomical) bodies alongside the Moon that are in orbit around the Sun, in slightly elliptical orbits.
The planets in the solar system.Basically, there are nine (9) planets in the solar system and these include;
MercuryVenusEarthMarsJupiterUranusNeptunePlutoVenusSaturnBased on astronomical science, many stars have planets and a number of planets that orbit other stars have also been detected by astronomers.
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Solve for s.
3(s+8)=36
s = 2
s = 4
s = 8
s = 12
Answer:
3(s+8) = 36
= 3(4+8) = 36
=3(12) = 36
= 3×12 = 36
Answer:
s = 4
Step-by-step explanation:
To solve for "s", we need to simplify the distributive property on the LHS.
[tex]\rightarrow 3(s + 8) = 36[/tex]
[tex]\rightarrow 3s + 24 = 36[/tex]
Now, let's solve for "s".
[tex]\rightarrow 3s + 24 = 36[/tex]
[tex]\rightarrow3s + 24 - 24 = 36 - 24[/tex]
[tex]\rightarrow3s = 12[/tex]
[tex]\rightarrow \boxed{s = \dfrac{12}{3} = 4}[/tex]
What is 1800/100 using long division
Answer:
1800 divided by 100 = 18
Step-by-step explanation:
18
=
18 Remainder 0
Refer to the accompanying data set and use the 25 home voltage measurements to construct a frequency distribution with five classes. Begin with a lower class limit of 122.9 volts, and use a class width of 0.2 volt. Does the result appear to have a normal distribution? Why or why not?
A frequency distribution table is a table that summarizes data in two columns.
The result does not appear to have a normal distribution.
How to construct the frequency distribution tableFrom the dataset, we have the following classes using 5 classes with a lower class limit of 119.4 and a class width of 0.2 volts
119.4 - 119.6, 119.7 - 119.9, 120.0 - 120.2. 120.3 - 120.5. and 120.6 - 120.8
So, the frequency distribution table is:
Class Frequency
119.4 - 119.6 4
119.7 - 119.9 10
120.0 - 120.2 6
120.3 - 120.5 5
120.6 - 120.8 0
The result does not appear to be normal.
This is so, because the frequency table do not go in form of a bell shape
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Ky recorded the results of his basketball free throw practice for three different sessions in the table shown, 3 misses to 10 attempts. If the ratios remains the same, how many free throws would kyle make if he misses 15 free throws in his next practice session?
Answer:
50 free throws
Step-by-step explanation:
3 : 10 = 15 : x
3x = 150
x = 50
there are two buses at the bus stop, one is at the bus stop every twenty-five minutes. the other is there every fifteen minutes. how many minutes until both buses are at the bus stop again?
Answer:
Bus A will take 75 minutes and Bus B will take 75 minutes as well.
Step-by-step explanation:
Say the buses start at 8 am and the first stop is 25 of 15 minutes, whenever they're supposed to stop:
Bus A: 8:25, 8:50, and 9:15
Bus B: 8:15, 8:30, 8:45, 9:00, and 9:15.
I hope this helped!
If
A. M < GHI = 75
B. M < GHI = 25
C. M < GHI = 85
D. M < GHI = 15
The homeowners association for a residential community is selecting a committee of 7. There are 24
candidates for positions. How many possible committees can be formed?
Answer:
Therefore the number of possible committee that can be formed is 346,104
According to the Internal Revenue Service (IRS), a single taxpayer with a tacable income between $63,550 and $132.600 in 2000 paid $14,382 plus 31% of the amount over $63.550. If Azim paid $23,665 in federal
income tax for 2000, then what was his total taxable income for the year?
Answer:
$93,495
Step-by-step explanation:
The tax amount is described as ...
t(x) = 14,382 +0.31(x -63550)
This can be simplified a bit to ...
t(x) = 0.31x -5318.50
Using 23,665 for the amount paid, we find the income to be ...
23665 = 0.31x -5318.50
28983.50 = 0.31x . . . . . . . . add 5318.50
93495.16 = x . . . . . . . . . . . divide by 0.31
Azim's total taxable income for the year was about $93,495.
_____
Typically, all amounts on an IRS tax form can be rounded to the nearest dollar. This holds both for the income and for the tax.
Find the area of the shape shown below.
Answer:
28 units^2
Step-by-step explanation:
1. First, let's divide this figure into two shapes: a square and a trapezoid. (Look at the image below explanation for division).
2. Next, we should know the area formulas of the square and trapezoid.
Square: [tex]s^2[/tex], where s = side[tex]\frac{a+b}{2}h[/tex], where a and b = top and bottom and h = height3. Solving Area of Square and Trapezoid
[tex]4^2 = 4 * 4 = 16[/tex]. Area of square is 16[tex]\frac{4+2}{2}*4 = \frac{6}{2} * 4 = 3 * 4 = 12[/tex]. Area of trapezoid is 12.16 + 12 = 28Therefore, the area of the figure is 28 units^2.
John runs a computer software store. Yesterday he counted 125 people who walked by the store, 66 of whom came into the store. Of the 66, only 21 bought something in the store. (Round your answers to two decimal places.)
(a) Estimate the probability that a person who walks by the store will enter the store.
(b) Estimate the probability that a person who walks into the store will buy something.
(d) Estimate the probability that a person who comes into the store will buy nothing.
A. Divide number of people in the shop by total people walking by:
66/125 = 0.528 = 0.53
B. Divide people who bought something by total people walking by:
21/125 = 0.168 = 0.17
d. 66 -21 = 45 people don’t buy anything.
45/66 = 0.68
