Answer:
Probability = 0.12025
Step-by-step explanation:
P (Am) = 1/50 = 0.02 {Magazine ad}
P (At) = 1/8 = 0.125 {Television ad}
P (Am ∩ At ) = 1/100 = 0.01 {Both ads}
P (Am U At) = P (Am) + P (At) - P (Am ∩ At )
= 0.02 + 0.125 - 0.01
P (Am U At) = 0.135 {Person sees either ad}
P (Am' ∩ At') = 1 - P (Am U At)
P (Am' ∩ At') = 1 - 0.135 = 0.865 {Person sees none ad}
Prob (Purchase) = Prob (Purchase with ad) + Prob (purchase without ad)
P (P/ A) = 1/4 = 0.25 , P (P / A') = 1/10 = 0.1
P (P) = (0.25) (0.135) + (0.1) (0.865)
= 0.03375 + 0.0865
0.12025
El numero tal que su 35% es 7
no entendo ???????? isto
Out of 4/10, 3/4, 2/5, and 1/3 which fraction is the biggest?
Answer:
3/4
Step-by-step explanation:
3/4 = .75
4/10 = .40
2/5 = .40
1/3 = .33
Answer:
3/4 is greater then 4/10 and 2/5 is greater then 1/3 and that's all I know
Step-by-step explanation:
Please help!! I will give you brain list
Answer:
It will take you at least 17 full weeks to make twice what you spend on the arcade.
Step-by-step explanation:
The inequality will look like this: 10,153x ≥ 170,978
After 17 weeks, you'll have made $172,601, one week less you'll only make $162,448, so it will take you at least 17 full weeks to make twice what you spent on the arcade.
The given number line shows the solutions to which inequality?
Answers are
A x+7=<5
Bx+3=>1
Cx-5>2
Dx-1<=
I dont think the answer is b or c
Answer:
the answer is c we just did this in class
After two six sided dice are rolled, what is the probability that the dice faces add up to either a 4 or 6?
6 = 36 because each die has 1 to 6 number on its faces.
Answer:
.222
Step-by-step explanation:
HELP PLEEEASE DUE TODAY ALL MY POINTS
if ΔABC and ΔXYZ are similar which must be true
Answer:
C)
Step-by-step explanation:
Hope that helps!
To investigate whether there is a difference in opinion on a certain proposal between two voting districts, A and B, two independent random samples were taken. From district A, 35 of the 50 voters selected were in favor of the proposal, and from district B, 36 of the 60 voters selected were in favor of the proposal. Which of the following is the test statistic for the appropriate test to investigate whether there is a difference in the proportion of voters who are in favor of the proposal between the two districts (district A minus district B)? A. 35-36 A 50 B. 35-36 0.7 0.6 V 50 0 + 60 C. 0.7-0.6 (0..) (.x) (+) 0.7-0.6 D. V(0.7)(0.6) (Hot 50+60 0.7 -0.6 E. (0.7) (0.6) VE 60
Answer:
C: t= x1`-x2`/√p^q^(1/n1 +1/n2)
0.7−0.6/(0.65)(0.35)√(1/50+1/60)
Step-by-step explanation:
The options given are
A
35−36/ 35/√50+3660
B
35−36/0.7/√50+0.660
C
0.7−0.6/(0.65)(0.35)√(1/50+1/60)
D
0.7−0.6/(0.7)(0.6)/√(1/50+1/60)
E
0.7−0.6/(0.7)(0.6)/√150+160
↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔
This is a test hypothesis about difference of means between two proportions.
The test statistic used is
t= x1`-x2`/√p^q^(1/n1 +1/n2)
x1`= 35/50= 0.7
x2`= 36/60= 0.6
so
x1`-x2`
= 35/50-36/60
= 0.7-0.6
p^= 35+36/50+60= 71/110= 0.645= 0.65
q^= 1-p^= 1-0.65= 0.35
p^q^= (0.65) (0.35)
n1= 50 and n2= 60
therefore √1/n1 +1/n2= √1/50+1/60
Now Putting the values in the test statistics we get
t= x1`-x2`/√p^q^(1/n1 +1/n2)
0.7−0.6/√(0.65)(0.35)(1/50+1/60)
Hence C is the correct option
Using the z-distribution, it is found that the test statistic for the appropriate test to investigate whether there is a difference in the proportion of voters who are in favor of the proposal between the two districts is given by:
[tex]z = \frac{0.1 - 0}{0.0906}[/tex]
What are the hypothesis tested?At the null hypothesis, it is tested if there is no difference between the proportions, that is, the subtraction is zero, hence:
[tex]H_0: p_A - p_B = 0[/tex]
At the alternative hypothesis, it is tested if there is a difference between the proportions, that is, the subtraction is not zero, hence:
[tex]H_1: p_A - p_B \neq 0[/tex]
What is the mean and the standard error for the distribution of the difference of proportions?First, we find the mean and the standard error for each proportion:
[tex]p_A = \frac{35}{50} = 0.7[/tex]
[tex]s_A = \sqrt{\frac{0.7(0.3)}{50}} = 0.0648[/tex]
[tex]p_B = \frac{36}{60} = 0.6[/tex]
[tex]s_B = \sqrt{\frac{0.6(0.4)}{60}} = 0.0633[/tex]
Then, for the difference:
[tex]\overline{p} = p_A - p_B = 0.7 - 0.6 = 0.1[/tex]
[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.0648^2 + 0.0633^2} = 0.0906[/tex]
What is the test statistic?It is given by:
[tex]z = \frac{\overline{p} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{0.1 - 0}{0.0906}[/tex]
To learn more about the z-distribution, you can take a look at https://brainly.com/question/16313918
Round 42,736,325 to the nearest million
Answer:
i hope this helps :)
Step-by-step explanation:
Grouped, 19546576 is 19,546,576. We underline through the millions place and mark the next digit. 19,546,576
Because the marked digit is 5, we increase 19 by 1 and replace all digits to the right with zeros: 20,000,000.
Thus 19,546,576 rounded to the nearest million is 20,000,000.
Answer:
43 million
43000000
Step-by-step explanation:
7 rounds up
PLEASE ANSWER QUICKLY I NEED AN ANSWER PLEASE ;0;
Answer:
infinitely many solution......
C. Find the value of x below:
15.r + 5
-2 + 16.
Answer:
7
Step-by-step explanation:
(15x + 5) and (-2 + 16x) represents the measures of corresponding angles.
Measures of corresponding angles are equal.
Therefore,
- 2 + 16x = 15x + 5
16x - 15x = 5 + 2
x = 7
True or false
what is always true about an isosceles triangle
1.one of the angles is 90 degrees
2.at least two angles are congruent
3.all of its sides are congruent
4.at least two sides are congruent
5.all of its angles are congruent
A radar unit tracks a target which may use interference. If the target does not employ interference, then during on surveillance cycle the unit may detect it with probability p0. If it employs interference, then the unit may detect it with probability p1 < p0. The probability that the interference will be used in one cycle is p and does not depend on the way and time the interference was used in other cycles. Find the probability that the target will be detected at least once in n surveillance cycles.
Answer:
The probability that the target will be detected at least once in n surveillance cycles is given by the following expression: [tex]1 - (1-p_0+p(p_1-p_0))^{n}[/tex]
Step-by-step explanation:
For each surveillance cycle, there are only two possible outcomes. Either it detects the target, or it does not. Cycles are independent. This means that the binomial probability distribution is used to solve this question:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of detecting a target:
p0 of 1-p (without interference)
p1 of p(with interference). So
[tex]\pi = p_0(1-p) + p_1p = p_0 + p(p_1-p_0)[/tex]
Find the probability that the target will be detected at least once in n surveillance cycles.
This is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}[/tex]
[tex]P(X = 0) = C_{n,0}.(p_0+p(p_1-p_0))^{0}.(1-p_0+p(p_1-p_0))^{n} = (1-p_0+p(p_1-p_0))^{n}[/tex]
So
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - (1-p_0+p(p_1-p_0))^{n}[/tex]
The probability that the target will be detected at least once in n surveillance cycles is given by the following expression: [tex]1 - (1-p_0+p(p_1-p_0))^{n}[/tex]
What percent is represented by the region that is shaded? Exact
answers only (no rounding).
Answer:
64 percent
Step-by-step explanation:
because there is 24 sq and 100 divided by 24 is 4, 4 times 16 is 64
There once was a fantastic football player named Leyton Channing. People often criticized him for not being
tough. They said when he played in harsh conditions like snow or frigid temperatures, he couldn't win.
After analyzing data, however, statisticians determined that there was no association between Leyton winning
and Leyton playing in harsh conditions. The frequency table below shows data for the games that Leyton played.
Fill in the missing values from the frequency table.
Answer:
Find the missing values by using the formula:
= Row total * Column total/Grand total
Win Loss Row total
Normal Conditions 154 66 220
Harsh Conditions 14 6 20
Column Total 168 72 240
Win - Normal conditions: Loss - Normal conditions
= 220 * 168/240 = 220 * 72/240
= 154 = 66
Win - Harsh conditions Loss - Harsh conditions
= 20 * 168 / 240 = 20 * 72/240
= 14 = 6
Please help thank you if you do
4/5 z = 2/7
7×4×z = 2× 5 (move the denominator of both fractions to the other side)
28z = 10
z = 10 ÷ 28
z = 5/14
Answer: The answer your looking for is 5/14
Step-by-step explanation: You want to leave the variable alone, so you divide both sides by 4/5. If you divide 2/7 by 4/5, you get 5/14.
help me on this.
what can be used in step 3?
Step-by-step explanation:
answer is been attached, hope u understand
solve for x 3x/2= 15
Answer:
the answer is x=10
:)
Step-by-step explanation:
A circular garden is being designed so that it has a diameter of 15 feet. Fencing needs to be
put up around the garden at a cost of $2.75 per foot of fencing. Fencing can only be bought
in whole feet lengths.
(a) How many feet of fencing should be bought? (b) How much will the fencing cost?
Answer:
15 feet and the cost is $41.25
Step-by-step explanation:
what are the x intercepts of y=x^2-x-12
Answer:
The person at the top is right. Give them brainliest
Which expression represents the algebraic phrase “eleven less than seven times a number”?
11x - 7
7x-11
11 + 7x
11-7x
A family borrows money for a rainforest tour. The simple annual interest rate is 12%. The loan is paid after 3 months. What is the total amount paid for the tour?
Answer:
1,266.90
Step-by-step explanation:
1. 940 + 170 + 120 = 1,230
2. 1,230 x 0.12 x 0.25 = 36.9
3. 36.9 + 1,230 = 1,266.90 (FINAL ANSWER)
Find the width of rectangle which has perimeter of 24 cm and length is 8 cm. *
Answer:
Breadth is 4cm
Step-by-step explanation:
Perimeter = 24cm
Length= 8cm
let the breadth be x
Perimeter = 2(l+b)
24 = 2(8+x)
24 = 16+2x
24-16 = 2x
8 = 2x
8÷2 = x
4 = x
Therefore, breadth is 4cm
PLS MARK ME AS BRAINLIEST★
The cost of a tablet after a 20% discount can be represented by the expression t-0.2t. Simplify the expression
Step-by-step explanation:
simplified 0.16t I used a simplify calculator
Please help me with this question I really need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
The angles of a triangle add up to 180°.
∠4 = 180°-35°-90° = 55°
One interior angle of a convex polygon (a convex polygon is a polygon where all angles
are less than 180 degrees) is 120 degrees. All the other angles are 130 degrees. How many sides
does the polygon have?
Answer:
7 sides
Step-by-step explanation:
120 + 130x = 180 * (x+1-2)
120 + 130x = 180x - 180
300 = 50x
x = 6
You get that x = 6, but there is still one angle that equals 120, so you have a 7 sided polygon.
Answer:
7
Step-by-step explanation:
find the formula for the nth term in the given sequence 12,36,108,324,972
Answer:
[tex]\huge\boxed{a_n=12\cdot3^{n-1}=4\cdot3^n}[/tex]
Step-by-step explanation:
[tex]a_1=12\\\\a_2=36=3\cdot12=3a_1\\\\a_3=108=3\cdot36=3a_2=3\cdot3a_1=3^2a_1\\\\a_4=324=3\cdot108=3a_3=3\cdot3^2a_1=3^3a_1\\\\a_5=972=3\cdot342=3a_4=3\cdot3^3a_1=3^4a_1\\\vdots\\a_n=3^{n-1}a_1=3^{n-1}\cdot12\\\\3^{n-1}\cdot12=3^{n-1}\cdot3\cdot4=3^{n-1+1}\cdot4=4\cdot3^n[/tex]
[tex]\text{Used}\\\\a^n\cdot a^m=a^{n+m}[/tex]
Hey guys I need help with this question. Solve the system by substitution: x=-1 and 4x+2y=16
If f(7) = 22, then
f^-1(22) = [?]
Answer:
it equals 7
Step-by-step explanation:
its just a rule, there is no step by step solution. if f(x)= y, then f^-1(y) = x
evaluate 3 + jk + k3 when j = 2 and k = 6.
Answer:
231
Step-by-step explanation:
5,3,1,-1, common difference or common ratio
Answer:
Common
Step-by-step explanation:
