Answer:
Step-by-step explanation:
From this study:
The null hypothesis:
[tex]H_o : p_1 =p_2[/tex]
The altenative is:
[tex]H_a : p_1 \ne p_2[/tex]
This test is a two-tailed test.
However; we are told that the wives have 44 success out of 66, then the number of failures will be 22.
Then;
[tex]\hat p_1 = \dfrac{44}{66}[/tex]
[tex]\hat p_1 = 0.6667[/tex]
Similarly, the husbands have 18 success out of 46, then the number of failures will be 28
Then:
[tex]\hat p_2 = \dfrac{18}{46}[/tex]
[tex]\hat p_2 = 0.3913[/tex]
The pooled proportion [tex]p = \dfrac{18+44}{66+46}[/tex]
[tex]p = \dfrac{62}{112}[/tex]
p = 0.55357
The estimated standard error S.E is:
[tex]= \sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}[/tex]
= [tex]\sqrt{ 0.55357(1-0.55357) \Big( \dfrac{1}{66} + \dfrac{1}{46} \Big)}[/tex]
[tex]=\sqrt{ 0.55357(0.44643) \Big(0.01515 + 0.021739 \Big)}[/tex]
[tex]=\sqrt{ 0.00911638798}[/tex]
= 0.0955
The Z test statitics can now be computed as:
[tex]Z = \dfrac{ \hat p_1 - \hat p_2}{\sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}}[/tex]
[tex]Z = \dfrac{0.6667 -0.3913}{0.0955}[/tex]
Z = 2.88
Th p -value from the test statistics is:
p-value = 2P(Z > 2.88)
p- value = 2 P (1 - Z < 2.88)
p-value = 2 ( 1 - 0.998)
p-value = 2 ( 0.002)
p -alue = 0.004
Decision Rule:
Thus, at 0.01 significance level, we reject the null hypothesis because, p-value is less than that (i.e. significance level)
Conclusion:
We conclude that there is a significant difference between the proportions.
c/4 = -8
c=?
I am very anxious, if you know the answer, please do tell me, thank you.
A store pays $675.58 for a rowboat. The store marks up the price by 10%. What is the amount of the mark-up? Round your answer to the nearest cent: $
Answer:
743.1
Step-by-step explanation:
675.58 • 1.10 = 743.138
743.138 rounded to the nearest tenth is 743.1.
The odds in favor of Frank McKinnis winning a hot dog eating contest are 3:8.
a. Determine the probability that Frank will win the contest.
b. Determine the probability that Frank will not win the contest.
a. The probability that Frank will win the contest is
b. The probability that Frank will not win the contest is
Answer:
a. 37.5% chance of winning
b. 5/8 or 62.5% chance of losing
Step-by-step explanation:
a. 37.5% chance of winning
b. 5/8 or 62.5% chance of losing
Mr. Heath organizes a six-game tournament where players will
• earn 2.2 points for every game won (W),
• earn 1/4 point for any game ending in a tie (T), and
• lose 3 points for every game lost (L).
Tally a score for an imaginary player.
Make sure the player plays all six games and has at least one win, one loss, and one tie.
Write and solve an equation to find the player’s total score.
9514 1404 393
Answer:
(W, T, L, S) = (3, 2, 1, 4.1)
Step-by-step explanation:
For some number of wins (W), ties (T), and losses (L), the player's score will be ...
score = 2.2W +0.25T -3L
For 3 wins, 2 ties, and 1 loss, the player's score is ...
2.2(3) +0.25(2) -3(1) = 6.6 +0.5 -3 = 4.1
Hi, can you help me answer this question (−3x + 7) − (4x − 8)
Answer:
Let's simplify step-by-step.
−3x+7−(4x−8)
Distribute the Negative Sign:
=−3x+7+−1(4x−8)
=−3x+7+−1(4x)+(−1)(−8)
=−3x+7+−4x+8
Combine Like Terms:
=−3x+7+−4x+8
=(−3x+−4x)+(7+8)
=−7x+15
Answer:
=−7x+15
Step-by-step explanation:
Answer:
15+7x
Step-by-step explanation:
(−3x+7)−(4x−8)
To find the opposite of 4x−8, find the opposite of each term.
−3x+7−4x−(−8)
The opposite of −8 is 8.
−3x+7−4x+8
Combine −3x and −4x to get −7x.
−7x+7+8
Add 7 and 8 to get 15.
−7x+15
3. Last week Hailey sold 40 raffle tickets for a school fund raiser. This week she sold 72 tickets. What is the percent of increase in the number of raffle tickets sold?
Answer:
40%
Step-by-step explanation:
Divide 72/40 which gives you 1.8 multiply by 100 gives you 180=1.80
72/ 1.80
40%
Donna rides her bike at a rate of 192 miles per hour. How many miles can Donna travel in 13 of an hour?
Answer: 27miles
Step-by-step explanation:
multiply192 by 0.13=27
(A) Police plan to enforce speed limits by using radar trapsat 4 different locations within the city limits. The radar traps ateach of the locations L1, L2, L3, and L4 are operated 40%, 30%,20%, and 30% of the time, and if a person who is speeding on hisway to work has probabilities of 0.2, 0.1, 0.5, and 0.2,respectively, of passing through these locations, what is theprobability that he will receive a speeding ticket?
(B) The person received a speeding ticket on his way towork, so what is the probability that he passed through the radartrap located at L2?
Answer:
0.27
0.1111111
Step-by-step explanation:
Given that:
X :
L1 = 40% = 0.4
L2 = 30% = 0.3
L3 = 20% = 0.2
L4 = 30% = 0.3
P(x) :
L1 = 0.2
L2 = 0.1
L3 = 0.5
L4 = 0.2
A.)
Σ(X * p(x))
(0.4 * 0.2) + (0.3*0.1) + (0.2*0.5) + (0.3 * 0.2) = 0.27
B.) Radartrap located at L2:
P(L2) = (L(x2) * p(L2)) / Σ(X * p(x))
= (0.1 * 0.3) / 0.27
= 0.1111111
PLEASE HELP PRE CALCLUS
REAL-WORLD PROBLEM. Joshua's cell phone bill can be represented by
y = 0.15x + 5 and Jayson's cell phone bill is given by y = 0.20x + 25, where x is the
number of text messages each sends in a month. Interpret the meaning of 0.15 and
0.20 in these equations, and describe the difference between the graphs of the
functions.
HELP ASAP PLSSSSS
Answer:
Step-by-step explanation: 0.15 and 0.2 are the slope of the line on the graph. The graph of the equation reading y = 0.20x + 25 would show a steeper line bc the bigger the slope the steeper the line.
what is the solution to 3/4a>-16
Answer:
Here is the answer also just for the future look up variable calculator :) hope it helps!
Step-by-step explanation:
PLZ HELP!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!
Answer :A.
Step-by-step explanation:
The first one. hope this helps
SOMEONE PLEASE HELP ME!! WHOEVER ANSWERS FIRST WILL GET BRAINLIEST!!
Answer:
12 miles in one hour
Step-by-step explanation:
60 minutes in an hour
60/15= 4
4*3=12
Factor 125 + b^3 completely
Answer:
( 5 + b ) ( 25 − 5 b + b 2 )
Step-by-step explanation:
( a + b ) ( a ^2 − a b + b ^2 ) where a = 5 and b = b .
Which is the coefficient in the expression 7x + 14?
Answer:
7
Step-by-step explanation:
A coefficient is the number before a variable (x, y, z...etc).
PLese help now please
Answer:
1, 2, and 4
Step-by-step explanation:
What is the value of x in the equation below?
⅗ = x/30
A. 6
B. 9
C. 10
D. 18
Answer:
D. 18
Step-by-step explanation:
3÷5=0.6
0.6×30=18
x=18
please make me Brainliest and follow me
Answer:
The value of x in the equation below is 18.
Step-by-step explanation:
We can use proportions to solve this. Cross-multiply then divide.
[tex] \frac{3}{5} = \frac{x}{30} \\ \\ \frac{5x}{5} = \frac{90}{5} \\ \\ x = 18[/tex]
The area of a rectangular wall of a barn is 144 square feet. Its length is 10 feet longer than the width. Find the length and width of the wall of the barn.
The width is __feet.
Answer:
8 feet
Step-by-step explanation:
Let l and w be length and width, respectively. Then:
lw=144 and
l=w+10
So:
w(w+10)=144
w²+10w-144=0
(w+18)(w-8)=0
w=8 as the width ................
The width of the rectangular wall is 8 feet.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Let l and w be length and width, respectively. Then:
l x w=144
l = w + 10
The area will be given as;-
w(w+10)=144
w²+10w-144=0
(w+18)(w-8)=0
w = 8 and -18 ignore -18.
Therefore the width of the rectangular wall is 8 feet.
To know more about an area follow
https://brainly.com/question/25292087
#SPJ2
can someone please help me
Answer: 19
Step-by-step explanation:
Tristan is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day. Let
P
P represent Tristan's total pay on a day on which he sells
x
x dollars worth of computers. The table below has select values showing the linear relationship between
x
x and
P
.
P. Determine the percentage commission Tristan makes on his daily sales.
Answer:
[tex]m = 1.5\%[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine his percentage commission
To do this, we need to calculate the slope (m) of the table as follows:
[tex]m = \frac{P_2 - P_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,P_1) = (7000,165)[/tex]
[tex](x_2,P_2) = (7500,172.5)[/tex]
[tex]m = \frac{P_2 - P_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{172.5 - 165}{7500- 7000}[/tex]
[tex]m = \frac{7.5}{500}[/tex]
[tex]m = 0.015[/tex]
Convert to percentage
[tex]m = 0.015 * 100\%[/tex]
[tex]m = 1.5\%[/tex]
Hence, his percentage commission is 1.5%
if 3x+10=4, what is the value of 2+5x? please help
Answer:
-8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
3x + 10 = 4
2 + 5x
Step 2: Solve for x
Subtract 10 on both sides: 3x = -6Divide 3 on both sides: x = -2Step 3: Evaluate
Substitute in x: 2 + 5(-2)Multiply: 2 - 10Subtract: -8An adults heart beats around 2,100 every 30 minutes. A baby’s heart beats about 2,600 times every 20 minutes. How many more beats does a baby’s heart beat in 60 minutes than an adults heart?
Answer:
3600 beats
7800-4200=3600
The Horseshoe Nebula is about 5 x 10light years away from Earth. One light
year is equal to approximately 5.9 x 1012 miles. What is the approximate distance
in miles, between Earth and the Horseshoe Nebula?
f(x)=2x^2 -5 , simplify f(x+h)/h , where h≠0
Answer:
[tex]\huge\boxed{\dfrac{f(x+h)}{h}=\dfrac{2x^2+4xh+2h^2-5}{h}}[/tex]
[tex]\huge\boxed{\dfrac{f(x+h)}{h}=\dfrac{2x^2-5}{h}+4x+2h}[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-5\\\\\dfrac{f(x+h)}{h}=\dfrac{2(x+h)^2-5}{h}=\dfrac{2(x^2+2xh+h^2)-5}{h}\\\\\dfrac{f(x+h)}{h}=\dfrac{2x^2+4xh+2h^2-5}{h}\\\\h\neq0[/tex]
Which is the correct label of the line?
points C and D lie on line a
(4 points)
Select one:
a. There is a horizontal line with arrows on either end over the letters A C.
b. There is a horizontal line with arrows on either end over the letters CD.
c. D
d. Two vertical lines beside the letter A
Answer:
b horizontal with arrows and c and d
Answer: CD
Step-by-step explanation: I took the test.
8/10/2022
given that (ax^2 + bx + 3) (x+d) = x^3 + 6x^2 + 11x + 12, it asks a + 2b - d = ?
Answer:
a+2b-d=1, 3, 5, 7
Step-by-step explanation:
(ax^2+bx+3)(x+d)
ax^3+bx^2+3x+adx^2+bdx+3d
ax^3+bx^2+adx^2+3x+bdx+3d=x^3+6x^2+11x+12
ax^3=x^3, a=1
bx^2+adx^2=6x^2
x^2(b+ad)=6x^2
b+ad=6
b+(1)d=6
b+d=6
------------
3x+bdx=11x
x(3+bd)=11x
3+bd=11
-----------------
b=6-d
3+(6-d)d=11
3+6d-d^2=11
3-11+6d-d^2=0
-8+6d-d^2=0
d^2-6d+8=0
factor out,
(d-4)(d-2)=0
zero property,
d-4=0, d-2=0
d=0+4=4,
d=0+2=2
b=6-4=2,
b=6-2=4.
------------------
a+2b-d=1+2(2)-2=1+4-2=5-2=3
-------------------
a+2(4)-4=1+8-4=9-4=5
-----------------------
a+2(2)-4=1+4-4=5-4=1
-----------------------
a+2(4)-2=1+8-2=9-2=7
Answer:
[tex]a+2b-d=1[/tex]
Step-by-step explanation:
We are given that:
[tex](ax^2+bx+3)(x+d)=x^3+6x^2+11x+12[/tex]
And we want to determine:
[tex]a+2b-d[/tex]
So, we will determine our unknowns first.
We can distribute our expression:
[tex]=(ax^2+bx+3)x+(ax^2+bx+3)d[/tex]
Distribute:
[tex]=ax^3+bx^2+3x+adx^2+bdx+3d[/tex]
Rearranging gives:
[tex]=(ax^3)+(bx^2+adx^2)+(bdx+3x)+3d[/tex]
Factoring out the variable yields:
[tex]=(a)x^3+(b+ad)x^2+(bd+3)x+d(3)[/tex]
Since we know that our expression equals:
[tex]x^3+6x^2+11x+12[/tex]
This means that each of the unknown terms in front of each variable corresponds with the coefficient of the resulting equation. Therefore:
[tex]\begin{aligned} a&=1\\ b+ad&=6\\bd+3&=11\\3d&=12\end{aligned}[/tex]
Solving the first and fourth equation yields that:
[tex]a=1\text{ and } d=4[/tex]
Then the second and third equations become:
[tex]b+(1)(4)=6\text{ and } b(4)+3=11[/tex]
And solving for b now yields that:
[tex]b=2\stackrel{\checkmark}{=}2[/tex]
Therefore, we know that:
[tex]a=1, b=2\text{ and } d=4[/tex]
For the equation:
[tex](x^2+2x+3)(x+4)=x^3+6x^2+11x+ 12[/tex]
Then the expression:
[tex]a+2b-d[/tex]
Can be evaluated as:
[tex]=(1)+2(2)-4[/tex]
Evaluate:
[tex]=1+4-4=1[/tex]
Hence, our final answer is 1.
If 100 beach umbrellas have a mass of 865.2kg what is the mass of each umbrella
Answer:
8.652kg
Step-by-step explanation:
100 beach umbrellas = 865.2kg
1 beach umbrella = 865.2/100 kg
1 beach umbrella = 8.652kg (Ans)
9,240 yd= how many mi?
Answer:
5.25 miles
Step-by-step explanation:
Answer:
There is 5.25 miles in 9,240 yards
Step-by-step explanation:
1 mile is equal to 1760 yards, so the equation would be
9240/1760 = 5.25
is 2*4 and 4*4 proportianal?
Answer:
no, 2/4 and 4/4 is not proportional.
Step-by-step explanation:
answer is not equal
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