Answer:
Your correct answer is 3.75
Step-by-step explanation:
0.25 x 15 = 3.75
Answer:
3.75
Step-by-step explanation:
You can do this many ways. Write a table that looks like this:
0.25
15
--------
Ignore all decimal points. Multiply the 5's together and carry the 2 to the next column. Multiply 2 x 5 + 2, write the second digit (which is 2) and carry the 1. Multiply 0 by 5 + 1 = 1, so your top number should be 125. Then, multiply all the numbers by the 1. 5 x 1 = 5; 2 x 1 = 2; 0 x 1 = 0. We now have something that looks like:
0.25
15
--------
1 2 5
0 2 5
Add these numbers together and add the decimal point 2 numbers from the right, since that's what was in the original decimal.
1 2 5
0 2 5
---------------
3.75
P(x)=2x^5+9x^4+9x^3+3x^2+7x-6;x=i,-2
Answer:
The value of the polynomial function at P(1) and P(-2) is 24 and 0 respectively.
Step-by-step explanation:
We are given with the following polynomial function below;
[tex]\text{P}(x) = 2x^{5} +9x^{4} +9x^{3} +3x^{2}+7x-6[/tex]
Now, we have to calculate the value of P(x) at x = 1 and x = -2.
For this, we will substitute the value of x in the given polynomial and find it's value.
At x = 1;
[tex]\text{P}(1) = 2(1)^{5} +9(1)^{4} +9(1)^{3} +3(1)^{2}+7(1)-6[/tex]
[tex]\text{P}(1) = (2\times 1) +(9\times 1)+(9 \times 1)+(3\times 1)+(7\times 1)-6[/tex]
[tex]\text{P}(1) = 2 +9+9+3+7-6[/tex]
P(1) = 30 - 6
P(1) = 24
At x = -2;
[tex]\text{P}(-2) = 2(-2)^{5} +9(-2)^{4} +9(-2)^{3} +3(-2)^{2}+7(-2)-6[/tex]
[tex]\text{P}(-2) = (2\times -32) +(9\times 16)+(9 \times -8)+(3\times 4)+(7\times -2)-6[/tex]
[tex]\text{P}(-2) = -64 +144-72+12-14-6[/tex]
P(-2) = 156 - 156
P(-2) = 0
Hence, the value of the polynomial function at P(1) and P(-2) is 24 and 0 respectively.
Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is found that 4% of the legitimate users originate calls from two or more metropolitan areas in a single day. However, 30% of fraudulent users originate calls from two or more metropolitan areas in a single day. The proportion of fraudulent users is 0.0130%. If the same user originates calls from two or more metropolitan areas in a single day, what is the probability that the user is fraudulent
Answer:
0.0009741
Step-by-step explanation:
The approach to solve this question is by the use of Baye’s theorem in conditional probability
Please check attachment for complete solution and explanation
Answer:
0.000974
Step-by-step explanation:
Let assume that;
P(Q) is the probability that the same user originated calls from two or more metropolitan areas in a single day
Also; Let consider M to be the event that denotes the legitimate users and N to be the event that denote the fraudulent users .
Then;
P(M) = 0.00013
P(N) = 1 - P(M)
P(N) = 1 - 0.00013
P(N) = 0.99987
P(Q|M) = 0.3
P(Q|N) = 0.4
The probability the same users originates calls from two or more metropolitan areas in a single day is calculated as follows:
P(Q) = (P(M) P(Q|M) ) + ( P(N) P(Q|N) )
P(Q) = ( 0.00013 × 0.3 ) + (0.99987 × 0.04 )
P(Q) = 0.000039 + 0.0399948
P(Q) = 0.0400338
However; The probability that the users is fraudulent given that the same users originates calls from two or more metropolitan areas in a single day is,
[tex]P(M|Q) = \dfrac{P(M) P(Q|M)}{(P(M) \ P(Q|M) ) + ((P(N) \ P(Q|N)) } \\ \\ \\ P(M|Q) = \dfrac{0.0001 \times 0.3}{0.0400338} \\ \\ \\ P(M|Q) = \dfrac{0.000039}{0.0400338} \\ \\ \\ \mathbf{P(M|Q) = 0.000974}[/tex]
Suppose a college student pays $750 for tuition fees. However, she also has to pay $300 for her textbooks (ouch!). What percent of her total education costs does she pay for her books?
Answer:
Total costs = $700 + $300 = $1000.
$300 / $1000 = 0.3 = 3%
Step-by-step explanation:
una pelota se mueve con movimiento uniforme con una velocidad de 0,25 km/seg calcular la distancia que recorre si tarda en llegar en 5 segundos
La respuesta correcta es 1.25 km
Explicación:
En general, la distancia que recorre un cuerpo es igual a su velocidad multiplicada por el tiempo que dura el movimiento. Es decir que la formula general es d (distancia) = v (velocidad) x t (tiempo). En este caso sabemos que la velocidad es 0,25 km/seg y el tiempo es 5 segundos. Es decir que la distancia es igual a 0,25 km/seg x 5 seg = 1. 25 kilómetros. De acuerdo a lo anterior la distancia que recorre la pelota es de 1.25 kilómetros.
Lettets a, b, c, and d are angle measures Which should equal 105 to prove false g
Answer:
a equals 105°
Step-by-step explanation:
angles in a straight line add up to 180°
a+75=180
a=180-75
a=105°
Find the sum of 1342, -295, -456,89.
Answer:
680
Step-by-step explanation:
add 1342+89 to get 1431
then add -295+-456 to get -751
then subtract 751 from 1431 to get 680
Step-by-step explanation:
Hope this is correct and helpful
HAVE A GOOD DAY!
What is the size of the matrix resulting from...
Answer:
1 x 3
Step-by-step explanation:
The order of the first matrix is 1 × 3
The order of the second matrix is 3 × 3
that is (1 × 3 ) × (3 × 3 )
The bold values at the ends of the orders give the order of the product, that is
1 × 3
Ten thousand raffle tickets are sold for $1 each. One first prize of $2000, 4 second prizes of $700 each, and 8 third prizes of $300 each are to be awarded, with all winners selected randomly. If you purchase one ticket, what are your expected winnings? 132 cents -$0.28 72 cents -$0.88
Answer:
72 cents.
Step-by-step explanation:
The expected winnings is the amount times the probability that you will get that amount.
2,000 * (1/10,000) = 2,000 / 10,000 = 2 / 10 = 0.2.
700 * (4 / 10,000) = 2,800 / 10,000 = 28 / 100 = 0.28.
300 * (8 / 10,000) = 2,400 / 10,000 = 24 / 100 = 0.24.
0.2 + 0.28 + 0.24 = 0.72.
Hope this helps!
Suppose a ball is thrown upward to a height of h 0 meters. After each bounce, the ball rebounds to a fraction r of its previous height. Let h Subscript n be the height after the nth bounce. Consider the following values of h 0 and r. Complete parts (a) and (b) below. h0=30, r=0.25
a- find the first 4 terms of the sequence of heights(hn)
b- find a general expression for the nth term of the sequence (hn)
Answer:
A)1st term:45
2nd term:48.75
3rd term:49.6875
4th term:49.921875
B) Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)
Step-by-step explanation:
We are given;
h₀ = Initial height of the ball = 30
r = Rebound fraction = 0.25
a) The arithmetic sequence of bouncing balls is given by the following;
Sₙ=h₀+2h₀(r¹+r²+r³+r⁴.........rⁿ)
The first term of the sequence is;
S₁ = h₀ + 2h₀r¹
S₁ = 30 + (2 × 30 × 0.25)
S₁ = 45
The second term of the sequence is;
S₂ = h₀ + 2h₀(r¹+r²)
S₂ = 30 + (2 × 30 × (0.25 + 0.25²)) = 48.75
The third term of the sequence is;
S₃ = h₀ + 2h₀(r¹ + r² + r³) = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³)) = 49.6875
S₄ = h₀ + 2h₀(r¹ + r² + r³ + r⁴)
S₄ = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³ + 0.25⁴)) = 49.921875
B) The general expression for the nth term of the sequence is;
Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)
A college financial advisor wants to estimate the mean cost of textbooks per quarter for students at the college. For the estimate to be useful, it should have a margin of error of 20 dollars or less. The standard deviation of prices is estimated to be around 100 dollars. How large of a sample size needs to be used to be 95% confident, with the given margin of error?
Answer:
minimum sample size = 97
Step-by-step explanation:
Margin of error = 20
standard deviation = 100
sample size = n
standard error = 100/sqrt(n)
confidence level, alpha = 95%
Using the standard rule for 95% confidence
standard error <= sample mean [tex]\pm[/tex] 1.96 standard error, or
20 <= 1.96*100 / sqrt(n)
n >= (1.96*100/20)^2 = 9.8^2 = 96.04
=>
n >= 97
Rita ha decidido emprender un negocio de ventas de productos de protección personal, para lo cual tiene que inventir 1/3 de su dinero en mascarillas, 4/15 en guantes, 1/10 en protección facial y el resto en alcohol. ¿Que fracciónde dinero se invierte en alcohol?
Answer:
3/10
Step-by-step explanation:
Subtract the sum of 1/3, 4/15 and 1/10 from 1:
10/30 + 8/30 + 3/30 = 21/30, or 7/10
Then: 1 - 7/10 = 3/10
t-7= -1 what is t in this equation
Answer:
t=6
Step-by-step explanation:
t-7=-1
6-7=-1
t - 7 = -1
t = 7 -1
t = 6
t is equals 6
what is the slope of the line described by the equation below? Y=-x+8
Answer:
The slope of line is -1.
Step-by-step explanation:
This equation is in the form Y=mx+b form, where m is the slope of the line. in this equation, -1 is m.
how long would it take you to walk from Tucson Arizona to San Clemente California
Answer:
It would take around 152 hours or 468 miles.Step-by-step explanation:
If you walk from Tucson Arizona (Saguaro National Park) to San Clemente California (Dana point), it would take around 152 hours, or 468 miles, if you walking speed is as the average person which is 3 to 4 miles per hour.
find the equation of a straight line joining the points (6,9) and (4,7). Please help im bad at mathematic :( and please do a calculation too.
Answer:
y = x+3
Step-by-step explanation:
First step is to find the slope
m = ( y2-y1)/(x2-x1)
= ( 7-9)/(4 - 6)
= -2 / -2
= 1
The we can put is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 1x+b
Putting in one of the points
9 = 1*6+b
Subtracting 6
9-6 = b
3=b
y = 1x+3
y = x+3
Answer:
[tex]\boxed{y=x+3}[/tex]
Step-by-step explanation:
Solve for slope first.
The slope can be found through 2 points.
[tex]slope=\frac{change \: in \: y}{change \: in \: x}[/tex]
[tex]slope=\frac{7-9}{4-6}[/tex]
[tex]slope=\frac{-2}{-2}[/tex]
[tex]slope=1[/tex]
Using slope-intercept form.
[tex]y=mx+b\\m=slope\\b=y \: intercept[/tex]
[tex]y=1x+b[/tex]
Let x = 6 and y = 9.
[tex]9=1(6)+b[/tex]
[tex]9-6=b[/tex]
[tex]3=b[/tex]
[tex]y=1x+3[/tex]
Consider the recursive function,
f(1) = 2
f(n) = 5•f(n − 1), for n > 2
Answer:
yes?
Step-by-step explanation:
??? can u say exactly what the question is please? thank you
Answer:
the question is:
Which statement is true?
A. The value of F(6) is 2 times the value of f(3).
B. The value of f(6) is 15 times the value of f(3).
C. The value of f(6) is 1/125 times the value of f(3).
D. The value of f(6) is 125 times the value of f(3).
Step-by-step explanation:
comment the answer below for everyone please.
5/9 + (1/9 + 4/5)=×
Answer:
22/15I hope it helps :)Step-by-step explanation:
[tex]\frac{5}{9}+\left(\frac{1}{9}+\frac{4}{5}\right)=x\\x=\frac{5}{9}+\left(\frac{1}{9}+\frac{4}{5}\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\x=\frac{5}{9}+\frac{1}{9}+\frac{4}{5}\\\mathrm{Compute\:a\:number\:comprised\:of\:factors\\\:that\:appear\:in\:at\:least\:one\:of\:the\:following:}\\9,\:9,\:5\\=3\times \:3\times\:5\\\mathrm{Multiply\:the\:numbers:}\:3\times \:3\times \:5=45\\\frac{5}{9}=\frac{5\times \:5}{9\times \:5}=\frac{25}{45}\\[/tex]
[tex]\frac{1}{9}=\frac{1\times \:5}{9\times \:5}=\frac{5}{45}\\\\\frac{4}{5}=\frac{4\times \:9}{5\times \:9}=\frac{36}{45}\\\\x=\frac{25}{45}+\frac{5}{45}+\frac{36}{45}\\\\\mathrm{Since\:the\:denominators\:are\:equal,\\combine\:the\:fractions}:\\\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\x=\frac{25+5+36}{45}\\\\x=\frac{66}{45}\\\\x=\frac{22}{15}[/tex]
In randomized, double-blind clinical trials of Prevnar, infants were randomly divided into two groups. Subjects in group 1 received Prevnar, while subjects in group 2 received a control vaccine. Aft er the second dose, 137 of 452 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 31 of 99 subjects in the control group (group 2) experienced drowsiness as a side effect. Does the evidence suggest that a lower proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the αα=0.05 level of significance?
Answer:
Step-by-step explanation:
From the summary of the given data;
After the second dose, 137 of 452 subjects in the experimental group (group 1) experienced drowsiness as a side effect.
Let consider [tex]p_1[/tex] to be the probability of those that experience the drowsiness in group 1
[tex]p_1[/tex] = [tex]\dfrac{137}{452}[/tex]
[tex]p_1[/tex] = 0.3031
After the second dose, 31 of 99 subjects in the control group (group 2) experienced drowsiness as a side effect.
Let consider [tex]p_2[/tex] to be the probability of those that experience the drowsiness in group 1
[tex]p_2[/tex] = [tex]\dfrac{31}{99}[/tex]
[tex]p_2[/tex] = 0.3131
The objective is to be able to determine if the evidence suggest that a lower proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the α=0.05 level of significance.
In order to do that; we have to state the null and alternative hypothesis; carry out our test statistics and make conclusion based on it.
So; the null and the alternative hypothesis can be computed as:
[tex]H_o :p_1 =p_2[/tex]
[tex]H_a= p_1<p_2[/tex]
The test statistics is computed as follows:
[tex]Z = \dfrac{p_1-p_2}{\sqrt{p_1 *\dfrac{1-p_1}{n_1} +p_2 *\dfrac{1-p_2}{n_2}} }[/tex]
[tex]Z = \dfrac{0.3031-0.3131}{\sqrt{0.3031 *\dfrac{1-0.3031}{452} +0.3131 *\dfrac{1-0.3131}{99}} }[/tex]
[tex]Z = \dfrac{-0.01}{\sqrt{0.3031 *\dfrac{0.6969}{452} +0.3131 *\dfrac{0.6869}{99}} }[/tex]
[tex]Z = \dfrac{-0.01}{\sqrt{0.3031 *0.0015418 +0.3131 *0.0069384} }[/tex]
[tex]Z = \dfrac{-0.01}{\sqrt{4.6731958*10^{-4}+0.00217241304} }[/tex]
[tex]Z = \dfrac{-0.01}{0.051378 }[/tex]
Z = - 0.1946
At the level of significance ∝ = 0.05
From the standard normal table;
the critical value for Z(0.05) = -1.645
Decision Rule: Reject the null hypothesis if Z-value is lesser than the critical value.
Conclusion: We do not reject the null hypothesis because the Z value is greater than the critical value. Therefore, we cannot conclude that a lower proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2
Which statement describes this system of equations? 9x – 6y = 15, 3x – 2y = 5 The equations in the system are equivalent equations. There is no solution to the system of equations. The system of equations has one solution at (3, 2). The system of equations has one solution at (5, 5).
Answer:
There is no solution to the systems of equation.
Step-by-step explanation:
Graph the system by using y=mx+b
Both systems are y=2/5x+5/2.
Answer:
that guy is wrong. its the first option.
Step-by-step explanation:
i just took it
What is the measure of ABC in the figure below?
C
о
A4 20
B
A
А. 420
В. 48°
С. 84°
ОО ОО ОО
D. 30°
E. 21°
O E Cannot be determined
Answer:
i think its 84...
Step-by-step explanation:
not to sure
Which describes the graph in words?
A. All numbers less than -10 and less than or equal to 8.
B. All numbers greater than -10 and less than 8
C. All numbers greater than or equal to -10 and less than or equal to 8
D. All numbers greater than -10 and less than or equal to 8.
D. All numbers greater than -10 and less than or equal to 8
EXAMPLE 2 (a) Find y' if x3 + y3 = 18xy. (b) Find the tangent to the folium of Descartes x3 + y3 = 18xy at the point (9, 9). (c) At what point in the first quadrant is the tangent line horizontal?
(a) Via implicit differentiation, we get
[tex]x^3+y^3=18xy\implies 3x^2+3y^2y'=18y+18xy'[/tex]
Solve for [tex]y'[/tex]:
[tex]y'=\dfrac{18y-3x^2}{3y^2-18x}=\dfrac{6y-x^2}{y^2-6x}[/tex]
(b) Find the slope of the tangent line at (9, 9) by plugging in x = y = 9 into the equation above:
[tex]y'=\dfrac{6\cdot9-9^2}{9^2-6\cdot9}=-1[/tex]
Use the point-slope formula to find the equation of the line:
[tex]y-9=-1(x-9)\implies y=-x+18[/tex]
(c) The tangent line is horizontal when its slope is 0, so solve [tex]y'=0[/tex]:
[tex]\dfrac{6y-x^2}{y^2-6x}=0\implies6y-x^2=0\implies y=\dfrac{x^2}6[/tex]
Now substitute y in the equation for the folium to solve for x :
[tex]x^3+\left(\dfrac{x^2}6\right)^3=18x\cdot\dfrac{x^2}6[/tex]
[tex]x^3+\dfrac{x^6}{6^3}=3x^3[/tex]
[tex]\dfrac{x^6}{6^3}-2x^3=0[/tex]
[tex]x^3\left(\left(\dfrac x6\right)^3-2\right)=0[/tex]
[tex]\implies x=0\text{ or }x=6\sqrt[3]{2}[/tex]
x = 0 corresponds to y = 0 (plug x = 0 into the folium equation to see why), i.e. the origin. If you don't consider the origin to belong to the first quadrant, then we only keep
[tex]x=6\sqrt[3]{2}\implies y=6\sqrt[3]{4}[/tex]
McKenzie has a bag contains six red marbles four blue marbles and 14 yellow marbles if she chooses one marble from the bag what is the probability that the marble is not yellow
Answer:
5/12
Step-by-step explanation:
Total number of marbles in the bag
6red+ 4blue + 14 yellow = 24 marbles
Not yellow marbles = 10 marbles
P ( not yellow ) = number of not yellow marbles / total marbles
=10/24
= 5/12
Answer:
5/12
Step-by-step explanation:
6 red marbles
4 blue marbles
14 yellow marbles
total marbles = 6 + 4 + 14 = 24 marbles
24 - 14 = 10 marbles
10 marbles are not yellow.
P(not yellow) = 10/24 = 5/12
22,403 Check:
- 8,675
how i do this
Answer:
Hello!! :) The answer to your question is 13,728
Steps will be below.
Step-by-step explanation:
So we will subtract 22,403 and 8,675.
When we do that we will get 13,728
To check your answer we have to do the opposite of subtracting which will be adding.
This is how we check our work: the answer we got was 13,728...we have to take that answer and add it to 8,675 which will give us 22,403
(Both of the numbers are from the question)
At the bottom I attached a picture of how I did the subtracting and how I checked my work.
Sorry for my handwriting......if you can’t understand my handwriting, I attached another picture which is more clearer.
ANSWER TO YOUR QUESTION: 13,728
Brainliest would be appreciated! Thank you :3
Hope this helps! :)
Answer:
The answer is 13,728
Step-by-step explanation:
Check your work with addition.
Select the correct answer.
Answer:
C. 5 × 3
Step-by-step explanation:
The order of a matrix is the number of rows and columns that a matrix has. Rows are listed first and columns are listed second. The matrix has 5 rows going across horizontally and 3 columns going down vertically.
So, the order of the matrix is 5 × 3.
Hope that helps.
2 + t = -4 what is the t
Answer:
- 6Step-by-step explanation:
[tex]2 + t = - 4[/tex]
Move constant to R.H.S and change its sign
[tex]t = - 4 - 2[/tex]
Calculate
[tex]t = - 6[/tex]
Hope this helps..
Best regards!!
Answer:
t = - 6Step-by-step explanation:
[tex]2 + t = -4 \\Collect -like-terms\\t = -4-2\\t=-6[/tex]
PLEASE HELP ?
Convert by looking at the thermometer and measure to the nearest 5 degrees F.
31 degrees Celsius to Fahrenheit
Answer:
90º
Step-by-step explanation:
just look at where 31º on the right lines up with the value on the left (aka around 90º)
Answer:
87.8 °F ≈ 90°F
Step-by-step explanation:
[tex]x \ degrees \ F = 31 \ degree \ Celsius *\frac{9}{5} + 32\\x \ degrees \ F = 55.8 + 32\\\\x \ degrees \ Fahrenheit = 87.8 \ degrees \ Farenheit[/tex]
I need the answer quick I have a time limit ( I only get an hour to complete the assignment heh )
Answer:
C (the third table, from the second picture).
Step-by-step explanation:
First, we need to find the slope of the graph.
Two conspicuous points are (0, -3) and (2, 1).
The slope is: (1 - -3) / (2 - 0) = (1 + 3) / 2 = 4 / 2 = 2.
A: In the table, the y-values increase by 2, while the x-values increase by 4. 2 / 4 = 1 / 2 = 0.5. The slope is not the same as the graph.
B: In the table, the y-values decrease by 2, while the x-values increase by 4. -2 / 4 = -1 / 2 = -0.5. The slope is not the same as the graph.
C: In the table, the y-values increase by 4, while the x-values increase by 2. 4 / 2 = 2 / 1 = 2. The slope is the same as the graph, so C is your answer.
D: In the table, the y-values decrease by 4, while the x-values increase by 2. -4 / 2 = -2 / 1 = -2. The slope is not the same as the graph.
Hope this helps!
42.
You were given the four numbers below and were asked to find the sum
of the first two numbers, the difference between the last two numbers,
the quotient when the sum is divided by the difference and the product
when the quotient is multiplied by 8. What is the final answer?
6458 2994
7013
6945
Answer:
1112
Step-by-step explanation:
6458 + 2994 = 9452
7013 - 6945 = 68
9452/68 = 139
139 * 8 = 1112
find the area of the shaded region
Answer:
27 in²
Step-by-step explanation:
area of triangle (whole) = 1/2 x base x height
= 1/2 x 10 x 6
= 30 in²
area of small triangle = 1/2 x base x height
= 1/2 x 3 x 2
= 3 in²
area of shaded region = 30 in² - 3 in²
= 27 in²