Answer:
0.1490 = 14.90% probability that a randomly selected potential customer will purchase the product.
Step-by-step explanation:
Probability of seeing the ad:
I am going to find this probability using Venn Sets.
I am going to say that:
Event A: Sees a magazine ad.
Event B: Sees a television ad.
Approximately 1 in 50 potential buyers of a product sees a given magazine ad
This means that [tex]P(A) = \frac{1}{50} = 0.02[/tex]
1 in 5 sees a corresponding ad on television.
This means that [tex]P(B) = \frac{1}{5} = 0.2[/tex]
One in 100 see both.
This means that [tex]P(A \cap B) = \frac{1}{100} = 0.01[/tex]
The probability of seeing the ad is the probability of seeing at least one of those(magazine or tv), which is:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]. So
[tex]P(A \cup B) = 0.2 + 0.02 - 0.01[/tex]
[tex]P(A \cup B) = 0.21[/tex]
Probability of purchasing the product.
0.21 = 21% of customers see the add. Of those, 1/3 = 0.3333 buy the product.
1 - 0.21 = 0.79 = 79% of customers dont see the add. Of those, 1/10 = 0.1 buy the product. So
[tex]p= 0.21*0.3333 + 0.79*0.1 = 0.1490[/tex]
0.1490 = 14.90% probability that a randomly selected potential customer will purchase the product.
0.2 as hundredths in fraction form
Answer:
20/100
Step-by-step explanation:
0.2 = 2/10 = 20/100
Here are some fractions.
10/15
4/6
12/18
10/16
16/24
One of these fractions is NOT equivalent to
2/3
a) Which fraction?
b) Work out 1/8 + 3/4
Give your answer in its simplest form.
Answer:
10/16 is not equivalent to ⅔.
⅛+¾=⅞
Step-by-step explanation:
To simplify to simplest form find the GCF for both and divide on each side.
[tex] \frac{10}{15} = \frac{2}{3} [/tex]
the GCF is 5, so you divide the numerator and denominator by 5 to get 2/3.
[tex] \frac{4}{6} = \frac{2}{3} [/tex]
When you divide the numerator and denominator by 2 (GCF) it would be ⅔.
[tex] \frac{12}{18} = \frac{2}{3} [/tex]
when you divide both the numerator and denominator by 6 (GCF) you get ⅔.
[tex] \frac{10}{16} = \frac{5}{8} [/tex]
when you divide the numerator and denominator by 2 (gcf) you get ⅝.
therefore, 10/16 is not equivalent.
[tex] \frac{1}{8} + \frac{3}{4} = [/tex]
Find the LCM
Least Common Multiple is 16.
8: 8, 16
4: 4, 8, 12, 16
[tex] \frac{2}{16} + \frac{12}{16} [/tex]
for ⅛ you multiply the numerator and denominator by 2 to get 2/16. do the same with 3/4 but with 4 to get 12/16
[tex] \frac{2}{16} + \frac{12}{16} = \frac{14}{16} [/tex]
you can simplify by dividinv both sides by 2 to get 7/8.
2.2.12 In the design of an electromechanical product, 12 com- ponents are to be stacked into a cylindrical casing in a manner that minimizes the impact of shocks. One end of the casing is designated as the bottom and the other end is the top. a. If all components are different, how many different designs are possible
Answer:
479,001,600 different designs are possible
Step-by-step explanation:
To solve this question, we want to know in how many ways 12 elements can be arranged.
Number of possible arrangements of x elements:
The number of possible arrangments of x elements is given by:
[tex]A_{x} = x![/tex]
In this question:
12 elements. So
[tex]A_{12} = 12! = 479001600[/tex]
479,001,600 different designs are possible
The Aquarium charges $16.00 for admission and $2.50 for each ride ticket. Mountain Rides charges $25.00 for admission and $0.25 for each ride ticket. For what number of ride tickets will the cost be more at The Aquarium?
Answer:
B
Step-by-step explanation:
Because 16 + 2.50 is less than 25 + 0.25x
HELP! What's the area of this kite?
Answer:
12
Step-by-step explanation:
8 x 3ft = 24
4 x 3 = 12
24 + 12 = 36ft
so its B my g
Answer:
C.36ft2
Step-by-step explanation:
3+3=6
6x8=48
48/2=24
6x4=24
24/2=12
12+24=
36ft2
George has a box of marbles. Each marble weighs the same amount. When George places 37 marbles on a scale, the total weight is 148 grams. Which equation
models the weight (in grams), w, of m marbles?
(A) W=0.25m
(B) W=0.75m
(C) W=4m
(D) W=4.5m
PLEASE ASAP!
Answer:
Take 148÷37. Which equals 4. The answer is C.
THIS ONE IS EASY I WILL MAKE BRAINLIEST
Answer:
OF
Step-by-step explanation:
the shapes are the same, but bigger so you literally just find the same line from shape 1 to shape 2, but bigger
Answer:
the correct side is OP
Step-by-step explanation:
Please help It’s EASY MATH
I owe $8500 on my credit card. The card has a promotional interest rate of 0% for 24 months. To repay the debt, I'm going to pay a fixed amount toward the balance every month. After 12 months, my remaining debt will be $6460. Which of the following equations correctly relates the remaining debt (D) to the number of months (t) I've been making payments? (Select all that apply.)
Question 4 options:
D=6460+170t
D=170t−6460
170t+D=8500
D=−170t+8500
D+6460=8500t
Answer:
170t+D=8500
D=170t−6460
Step-by-step explanation:
Mathematical models are used to explain real life situations.
We can see from the question that the total debt is $8500 while there is interest rate of 0% for 24 months. We are also told that after 12 months, the remaining debt was $6460.
Now, the equations that correctly model the situation are;
170t+D=8500D=170t−6460Learn more about mathematical models:https://brainly.com/question/731147
what is an equivalent expression to 2x+10x
Answer:
=12x
Step-by-step explanation:
Write the equation for a line that is parallel to the line y=-1/3x -4 and passes through the point (3, -1)
Answer:
y = -1/3x
Step-by-step explanation:
Since the line has to be parallel, that means it will have the same slope. So, we use the given point and slop to solve for the new y= mx + b using the equation y - y = m( x - x)
m= -1/3 x = 3 y = -1
y + 1 = -1/3(x - 3)
y + 1 = -1/3x + 1
y = -1/3x
Find the slope-intercept form of the equation of the line which contains the points (-2, 5) and (3, 20).
Answer:
y = 3x - 11
Step-by-step explanation:
First, use the y2-y1/x2-x1 format to find the slope: 20 - 5/3 - (-2)(Note: change 3 - (-2) to 3 + 2 to make it easier for you)
Simplify 15/5.Your slope would be 3/1 or 3.
Now use the slope-intercept format: y = mx + b(Use either the first point or second point, I chose the first)
5 = 3(-2) + b
Multiply 3 and -2, which is -6.Subtract 5 from -6: -6 - 5 = -11Your y-intercept is -11.
Hope this helped!
10) La diferencia entre 17 y 1.234 es :
Answer:
15.766
Step-by-step explanation:
17 menos 1.234 es 15
hey i need help pls be honest. WILL GIVE BRAINLIEST!!!!!!!!
explain how to solve the equation 7s=28
30 is 60% of
due today
Answer:
30 is 60% of 50.
Step-by-step explanation:
30 ÷ 60% = 50
Find the values of x and y.
Answer:
x = 67
y = 169
Step-by-step explanation:
We know that (x-1) + 52 + (y-7) = 180 because they're all on the same straight line. We also know that x-1 = 66, because they are alternate interior angles.
Solve for x:
x-1 = 66
x = 67
Now solve for y:
(67-1) + 52 + (y-7) = 180
y = 169
start time:11:33
End time:?
Elapsed time:4 hrs 55 mins
Answer:
4:28
Step-by-step explanation:
11:33+ 4hrs and 55 min
12:28+4hrs
4:28
HELP ME PLEASE!!!!!!!!!!!
Answer:
9.y=Mx+b
Y= 2/5x+4
10. y=Mx+b
Y=4x-5
Step-by-step explanation:
Answer:
9) [tex]y=\frac{2}{5} x+4[/tex]
10) [tex]y=4x-5[/tex]
Step-by-step explanation:
Slope-intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept, or the value of y when the line crosses the y-axis.
Question 9
[tex]y=mx+b[/tex]
The question tells us that the slope of the line is [tex]\frac{2}{5}[/tex]. Because the slope is [tex]m[/tex], plug [tex]\frac{2}{5}[/tex] into the equation as [tex]m[/tex].
[tex]y=\frac{2}{5} x+b[/tex]
Then, it tells us that the y-intercept is (0,4). Recall that the y-intercept is the value of y when the line crosses the y-axis. The value of y in the point (0,4) is 4. Because the y-intercept is [tex]b[/tex], plug 4 into the equation as [tex]b[/tex].
[tex]y=\frac{2}{5} x+4[/tex]
Question 10
[tex]y=mx+b[/tex]
First, we must calculate the slope using the slope equation:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
The given points are (0,-5) and (2,3). Plug those into the equation.
[tex]\frac{3-(-5)}{2-0}[/tex]
Two negatives make a positive
[tex]= \frac{3+5}{2-0}\\= \frac{8}{2} \\= 4[/tex]
Therefore, the slope of the line is 4. Plug 4 into the original equation as [tex]m[/tex].
[tex]y=4x+b[/tex]
Now, we can find the y-intercept by simply looking at the graph. The line crosses the y-axis at the point (0,-5). Therefore, the y-intercept is -5. Plug -5 into the equation as [tex]b[/tex].
[tex]y=4x+(-5)\\y=4x-5[/tex]
I hope this helps!
For his long distance phone service, Carlos pays an $8 monthly fee plus 6 cents per minute. Last month, Carlos's long distance bill was $12.08. For how many minutes was Carlos billed?
Answer:
68 minutes
Step-by-step explanation:
12.08=0.06x+8
4.08=0.06x
68=x
Chase's car used 4 gallons of gas to drive 86miles. How many miles did chase drive using 2 gallons? And how many gallons did chase use driving 215miles?
Answer:
43 mi & i think its 107.5 gal
Step-by-step explanation:
4 gal= 86 mi
4/2=2 86/2=43
2 gal= 43 mi
to get the 107 i just divided 215 by 2
I NEED HELP!! (100 POINTS)
Kian wants to solve the equation 2x = -2x + 4. How could he use graphs to solve this equation?
Drag statements into order to complete an explanation.
Answer:
x = 1Step-by-step explanation:
Given equation
2^x = -2x + 4
To solve graphically, following steps required
1. Graph the function
y = 2^x2. Graph the function
y = -2x + 43. Identify any intersection of the lines
4. Take the x-coordinates of the intersection points and record as solution
See attached, the answer and the solution of the given equation
The solution is
x = 1Answer:
Graph the curve that models 2^x.
Graph the line that models -2x+4.
Identify all points of intersection of the two graphs.
Solutions to the equation are the x-coordinates of points of intersection.
Mike read 18 books. This was 4 fewer than twice the number that Jeff
read. How many books did Jeff read?
Answer:
i think 13
Step-by-step explanation:
Х?
When a side of the triangle is 55°
Answer:
70
Step-by-step explanation:
180 - 55 -55 = 70
50 points! I need help fast! Random answers will be reported! I will mark brainliest to the correct answer :)
Answer:
1) yes, SAS
2) No, there is no SSA theorem
Step-by-step explanation:
1) PR is shared between the two triangles so you know by Side-Angle-Side
1). Solve for n n - 72 = 83 *
Helpppppppppp
Answer:
N=155 I am pretty sure thats the answer
Angle x measures 42•. Find measure of angle y.
Answer:
C
Step-by-step explanation:
Use the simple interest formula to find the interest earned for $347 at 9.63% for 5 years
Answer:
$167.08
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 9.63%/100 = 0.0963 per year,
then, solving our equation
I = 347 × 0.0963 × 5 = 167.0805
I = $ 167.08
The simple interest accumulated
on a principal of $ 347.00
at a rate of 9.63% per year
for 5 years is $ 167.08.
Which amount is greater, 5 feet or 2 yards?
Answer:
2 yards is greater then 5 feet
Step-by-step explanation:
A yard is 3 feet, 3+3=6 I hope this helps!
I need help with this can someone help
My work:
3x4=12
12+12=24
6-4=2
2+2+2=6
24÷6=4
Your answer:
4
Hope this helps!
-Alex
Answer:
18.
Step-by-step explanation:
3 x 4 = 12, 12 times 12 equals 144, 6 - 4 equals 2, and 2 times 2 times 2 is 8, and 144 / 8 = 18.