Ten cards are numbered 1 through 10, and one card is chosen at random. What is the probability that one card has a number greater than or equal to 4?
Answer:
7/10
Step-by-step explanation:
4,5,6,7,8,9,10
7 numbers counting four so 7/10
Rick put his $200 into a simple interest account at 3.25% interest. Julian put his $200 into a compound interest account that gives 3% interest compounded annually. The table below shows their yearly balance after interest has been applied.
Balance
Rick
Julian
deposit
200
200
Year 1
206.50
206.00
Year 2
213.00
212.18
Year 3
219.50
218.55
Year 4
226.00
225.11
Year 5
232.50
231.85
Year 6
239.00
238.81
Year 7
245.50
245.97
Year 8
252.00
253.35
Year 9
258.50
260.95
Year 10
265.00
268.78
Which statements are true about their balances? Check all that apply.
After 10 years, Rick has a larger balance than Julian.
Julian accumulated $3.78 more in interest after 10 years.
Julian’s bank pays greater interest if he keeps his money in the bank for more than seven years.
Julian’s balance increases by the same amount each year.
Julian’s bank pays greater interest if he keeps his money in the bank for less than seven years.
Rick’s balance increases by the same amount each year.
After five years, Rick has a larger balance than Julian.
Julian accumulated $0.65 more interest after five years.
Answer: 2,3,6,7
Step-by-step explanation: I took the test
The statements are true about their balances, is 2,3,6,7 are the correct statement about Rick and Julian balance.
We have given that, Rick put his $200 into a simple interest account at 3.25% interest.
Julian put his $200 into a compound interest account that gives 3% interest compounded annually.
The table below shows their yearly balance after interest has been applied.
What is the balance?The Balance makes personal finance easy to understand. It is home to experts who provide clear, practical advice on managing your money.
Balance Rick Julian
deposit 200 200
Year 1 206.50 206.00
Year 2 213.00 212.18
Year 3 219.50 218.55
Year 4 226.00 225.11
Year 5 232.50 231.85
Year 6 239.00 238.81
Year 7 245.50 245.97
Year 8 252.00 253.35
Year 9 258.50 260.95
Year 10 265.00 268.78
We have to determine Which statements are true about their balances.
Statement 2,3,6,7 are true statements about their balances.
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Sheldon Cole earns a salary of $150 a week and a commission of 7% on all
sales. If Cole's sales for one week were $6,890, what were his total weekly
earnings?
Answer:
$6,482.30
Step-by-step explanation:
150 x 40 (hours per week) = $6,000
6,890 x .07 = $482.30
6,000 + 482.30 = $6,482.30
A right prism has a triangular base. The length of the base is 6 meters and the height of the base is 4 meters. The height of the prism is 4.5 meters.
What is the volume of the prism?
A. 45 m³
B. 54 m³
C. 69 m³
D. 108 m³
Area of base:-
1/2(6)(4)3(4)12m^2Now
Volume:-
Area of base× Height12(4.5)48+654m^3Answer:
the answer is 54 that person is correct i just took the quiz and got 100% to
Step-by-step explanation:
Section 3 - Question 22
a represents a rational number, and b represents an irrational number.
Which of the following are TRUE? Select all that apply
A a? will be rational
B.
a + b is always irrational
с
a + b is sometimes rational
D
ab is always irrational
E
ab is sometimes rational
Answer:
E
Step-by-step explanation:
ab is sometimes rational
Express 500 g as a percentage of 2.5 kg.
Answer:
500 grams is 20 percent of 2.5 kg
Step-by-step explanation:
500*100 = 50,000
50,000/2500=20
500 g is the 20% of 2.5kg.
What is percentage ?
The percentage is a ratio of number as a fraction over 100.
According to the given question
we have to find the percentage of 2.5 kg
since, 500g = [tex]\frac{500}{1000}[/tex] = 0.5kg
The percentage of a quantity x is given by
percentage = [tex]\frac{Q}{value}[/tex]×100
Substitute, Q = 0.5kg and value = 2.5kg in the above formula
⇒ percentage = [tex]\frac{0.5}{2.5}[/tex]× 100 = 20%
Hence, 500g is the 20% 0f 2.5g.
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Calculate the slope between the points: (4, -3) and (4,7) *
m = 0.5
m = undefined slope
m = -1.25
m = 0
Answer:
m=undefined
Step-by-step explanation:
(x1,y1)=(4,−3)
(x2,y2)=(4,7)
m=y2−y1/x2−x1
=7−−3/4−4
=10/0
=1/0
=undefined
5b. Solve the differential equations using Laplace transforms
y"+y' - 2y = x², y(0) = 0 and y'(0) = 0
Answer:
[tex]y(x)=-\frac{3}{4}-\frac{1}{2}x-\frac{1}{2}x^2+\frac{2}{3}e^{-2x}+\frac{1}{12}e^x[/tex]
Step-by-step explanation:
[tex]y''+y'-2y=x^2,\: y(0)=0,\: y'(0)=0\\\\\mathcal{L}\{y''\}+\mathcal{L}\{y'\}-2\mathcal{L}\{y\}=\mathcal{L}\{x^2\}\\\\s^2Y(s)-sy(0)-y'(0)+sY(s)-y(0)-2Y(s)=\frac{2}{s^3}\\ \\s^2Y(s)+sY(s)-2Y(s)=\frac{2}{s^3}\\ \\(s^2+s-2)Y(s)=\frac{2}{s^3}\\ \\Y(s)=\frac{2}{s^3(s^2+s-2)}\\ \\Y(s)=\frac{2}{s^3(s+2)(s-1)}[/tex]
Perform the partial fraction decomposition
[tex]\frac{2}{s^3(s+2)(s-1)}=\frac{A}{s}+\frac{B}{s^2}+\frac{C}{s^3}+\frac{D}{s+2}+\frac{E}{s-1}\\\\2=s^2(s+2)(s-1)A+s(s+2)(s-1)B+(s+2)(s-1)C+s^3(s-1)D+s^3(s+2)E\\\\2=s^{4} A + s^{4} D + s^{4} E + s^{3} A + s^{3} B + 2 s^{3} D - s^{3} E - 2 s^{2} A + s^{2} B + s^{2} C - 2 s B + s C - 2 C\\\\2=s^{4} \left(A + D + E\right) + s^{3} \left(A + B + 2 D - E\right) + s^{2} \left(- 2 A + B + C\right) + s \left(- 2 B + C\right) - 2 C[/tex]
Solve for each constant
[tex]\begin{cases} A + D + E = 0\\A + B + 2 D - E = 0\\- 2 A + B + C = 0\\- 2 B + C = 0\\- 2 C = 2 \end{cases}[/tex]
[tex]-2C=2\\C=-1[/tex]
[tex]-2B+C=0\\-2B+(-1)=0\\-2B-1=0\\-2B=1\\B=-\frac{1}{2}[/tex]
[tex]-2A+B+C=0\\-2A+(-\frac{1}{2})+(-1)=0\\-2A-\frac{1}{2}-1=0\\-2A-\frac{3}{2}=0\\-2A=\frac{3}{2}\\ A=-\frac{3}{4}[/tex]
[tex]A+D+E=0\\-\frac{3}{4}+D+E=0\\D+E=\frac{3}{4}\\D=\frac{3}{4}-E[/tex]
[tex]A+B+2D-E=0\\-\frac{3}{4}+(-\frac{1}{2})+2(\frac{3}{4}-E)-E=0\\-\frac{3}{4}-\frac{1}{2}+\frac{3}{2}-2E-E=0\\-\frac{3}{4}+1-3E=0\\\frac{1}{4}-3E=0\\\frac{1}{4}=3E\\\frac{1}{12}=E[/tex]
[tex]D=\frac{3}{4}-E\\D=\frac{3}{4}-\frac{1}{12}\\D=\frac{9}{12}-\frac{1}{12}\\D=\frac{8}{12}\\D=\frac{2}{3}[/tex]
Take the inverse transform and find the solution to the IVP
[tex]Y(s)=\frac{-\frac{3}{4}}{s}+\frac{-\frac{1}{2}}{s^2}+\frac{-1}{s^3}+\frac{\frac{2}{3}}{s+2}+\frac{\frac{1}{12}}{s-1}\\ \\y(x)=-\frac{3}{4}-\frac{1}{2}x-\frac{1}{2}x^2+\frac{2}{3}e^{-2x}+\frac{1}{12}e^x[/tex]
Choose the answer to complete each statement.
Excuse me, sorry for using up your points, but what are the statements?
in the function f(×)=4-ײ,find f(-3)
Answer:
-5
Step-by-step explanation:
f (x) = 4 - x^2
f (-3)= 4 - (-3)^2
= 4 -(9)
= -5
Answer:
-5
Step-by-step explanation:
f(-3) =4-(-3)^2
=4-9
= -5
Convert 65.949 to expanded form
Answer:
10x6
1x5
.1x9
.01x4
.001x9
Step-by-step explanation:
А
о Р
4
OP =
04
O 3.5
O 3
what is the fact family for 1,2,3
question is attached in the photo thank you so much
How many distinct products can be formed using two different integers from the given set: {–6, –5, –4, –3, –2, –1, 0, 1, 2, 3, 4, 5}?
Number of distinct products that can be formed is 144
PermutationSince we need to multiply two different integers to be selected from the set which contains a total of 12 integers. This is a permutation problem since we require distinct integers.
Now, for the first integer to be selected for the product, since we have 12 integers, it is to be arranged in 1 way. So, the permutation is ¹²P₁ = 12
For the second integer, we also have 12 integers to choose from to be arranged in 1 way. So, the permutation is ¹²P₁ = 12.
Number of distinct products
So, the number of distinct products that can be formed from these two integers are ¹²P₁ × ¹²P₁ = 12 × 12 = 144
So, the number of distinct products that can be formed is 144
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The patient recovery time from a particular surgical procedure is normally distributed with a mean of 7 days and standard deviation of 1.1 days. Use Onlinestatbook or GeoGebra to find the following probabilities. Write your answers in percent form. Round your percentages to two decimal places.
a) What is the probability of spending less than 7 days in recovery?
[]%
b) What is the probability of spending more than 5 days in recovery?
[]%
c) What is the probability of spending between 5 days and 7 days in recovery?
[]%
Answer:
c po
Step-by-step explanation:
kasi between 5 days and 7 days in recovery
Choose whether each sum is positive or negative.
–5 + (–2) Positive/Negative
5 + (–2) Positive/Negative
–3 + 4 Positive/Negative
0 + (–3) Positive/Negative
which of the following is true of the data set represented by the box plot max at 35
Though the box plot is not given, the truth about the data set represented by the box plot is removing the outliers would not affect the median.
What is a box plot?A box plot gives a graphical (rectangular) representation of statistical data based on the following five values: minimum, first quartile, median, third quartile, and maximum.
Essentially, a box plot has the following five data descriptions:
The leftmost whisker, showing the minimum value.The rightmost whisker, showing the maximum value.The leftmost line, showing the first quartile.The middle line, showing the median or the second quartile.The last line shows the third quartile.Thus, the truth about the data set represented by the box plot is removing the outliers would not affect the median.
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Is the vertex maximum or a minimum
Step-by-step explanation:
In this case the vertex is a maximum since it's in the shape of a hill not a valley. Vertex is (0,4)
Answer:
Maximum
Step-by-step explanation:
It is the maximum of the graph because it is the highest (MAXIMUM) point on the graph that the line reaches. If it were upside down, and the vertex was at the bottom and was the lowest point of the line, then it would be the minimum.
Round the decimal one hundred twelve and seven hundred eighty-six thousandths to the nearest tenth ?
Answer:
112.8
Step-by-step explanation:
to round 112.786 to the nearest tenth consider the hundredths value of 112.786 is 8 and equal or more than 5. Therefore, the tenths value of 112.786 (which is 7) increases by 1 to 8 , so 112.786 rounded to the nearest tenth =112.8
The value of the given expression is 112.8.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
To round 112.786 to the nearest tenth consider the hundredths value of 112.786 is 8 and equal to or more than 5. Therefore, the tenths value of 112.786 (which is 7) increases by 1 to 8, so 112.786 rounded to the nearest tenth =112.8
Therefore the value of the given expression is 112.8.
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PLEASE HELP!!!!!!!!! 20 points!!!!
When ethically investing, Taylor should consider which type of data?
A. Only qualitative
B. Both finite and qualitative
C. Only quantitative
D. Both qualitative and quantitativ
When ethically investing, Taylor should consider qualitative and quantitative data.
Quantitative and qualitative dataQuantitative data is anything that can be counted or measured whereas qualitative data is descriptive,
Ethical investing is a strategy where an investor chooses investments based on a personal ethical code. Hence ethical investing is done using quantitative data such as cost and profit to be made. Also, the qualitative data involved are the type of investment if it is based on the persons ethics.
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Answer:D
Step-by-step explanation:just got it right
Solve the exponential equation: 36x = 32x - 1
Answer:
1/4
Step-by-step explanation:
36x=32x-1
We move all terms to the left:
36x-(32x-1)=0
We get rid of parentheses
36x-32x+1=0
We add all the numbers together, and all the variables
4x+1=0
We move all terms containing x to the left, all other terms to the right
4x=-1
x=-1/4
x=-1/4
Please helppp I’m really confused on this
Answer:
511.44 ft^2
966 cm^2
50.88 mm^2
Step-by-step explanation:
6. 196π-13x8=511.44
7. (20+20+12+12)20-100π=966
8. 15x8-1/2(16π)-4x11=50.88
Help i can’t find D, this was a homework assignment a long time ago i still don’t understand
97+(-27)+(-89)+(-54)
Step 1:
[tex]97+(-27)+(-89)+(-54)[/tex]
Step 2:
[tex] = 97 - 27 - 89 - 54[/tex]
Info:
(+) ×(-)=-
Step 3:
[tex] = 97 - 170[/tex]
Step 4:
[tex] = - 73✓[/tex]
Answer:
Step-by-step explanation:
97+(-27)+(-89)+(-54)= -73
One number is 9 more than another. if the sum of the two numbers is 171, find the two numbers
Mr. Smith earned $600 last year. His total deductions amounted to 10%
of his earnings. What was his take-home salary?
Answer:
540
Step-by-step explanation:
10% of 600 is 60, 600-60 is 540
The 10% of $600 will be $60 therefore, the net salary that Mr. Smith will take home will be $540.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Base salary = $600
10% of $600 = (10/100) x 600 = $60
Net salary = $600 - $60 = $540
Hence "The 10% of $600 will be $60 therefore, the net salary that Mr. Smith will take home will be $540.".
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Help help math math ASAP
Answer:
(- 21, - 13 )
Step-by-step explanation:
- 3y + x = 18 → (1)
x = 2y + 5 → (2)
substitute x = 2y + 5 into (1)
- 3y + 2y + 5 = 18
- y + 5 = 18 ( subtract 5 from both sides )
- y = 13 ( multiply both sides by - 1 )
y = 13
substitute y = - 13 into (2)
x = 2(- 13) + 5 = - 26 + 5 = - 21
solution is (- 21, - 13 )
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Krissa exercises daily by walking. She aims to walk at a steady rate of 3.4 miles per hour.
a. If t represents time in hours and d represents distance in miles, write an equation that models the relationship between these variables.
b. Use your equation to calculate the distance Krissa will jog in 5/8 of an hour (round to the hundredths).
c. Use your equation to calculate how long it will take for Krissa to walk 5.44 miles.
Answer:
a. 3.4t (miles)
b. 2.125 miles
c. t = 1.6 hours
Step-by-step explanation:
A) We use this relation: Distance = time * speed ( speed or vitesse or rate)
So d= 3.4*t= 3.4t (miles)
B) If t= 5/8
then the distance d= 3.4* 5/8= 2.125 miles.
C) If the distance d= 5.44, we can find the time like:
d= 3.4*t, and we know d=5.44
so 5.44= 3.4*t or t = 5.44/3.4, t= 1.6 hours
Hope you understand it.
Help you guys this is due today The diameter of a cylinder is 5 yd. The height is 4 yd. what is the volume of the cylinder?
Answer:
78.54 yd squared
Step-by-step explanation:
3.14(2.5^2)4
3.14(6.25)4
(19.625)4
78.54
Have a great day!!
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