Answer:
[(3 x 3) + (4 x 3)] ÷ 3
Step-by-step explanation:
Choose the expression that best matches this situation.
[(3 x 3) + (4 x 3)] ÷ 3
[(3 x 3) + (4 x 3)] - 3
(3 x 3) + [(4 x 3) ÷ 3]
[(3 x 3) + (4 x 3) ÷ 3]
On 3 different days, he bought 3 packs
= 3 × 3
= 9 packs
On 3 other days, he bought 4 packs each day.
= 4 × 3
= 12 packs
After that he split his packs with his 2 brothers
= (9 + 12) / 3
= 21 / 3
= 7 packs each for him and his two brothers
Here is the expression:
[(3 x 3) + (4 x 3)] ÷ 3
= (9 + 12) ÷ 3
= 21 / 3
= 7 packs
Country Financial, a financial services company, uses surveys of adults age and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of adults showed indicating that their financial security was more than fair. In February of 2010, a sample of adults showed indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years.\
Complete Question
Country financials, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. In February 2012, a sample of 1000 adults showed 410 indicating that their financial security was more that fair. In Feb 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair.
a
State the hypotheses that can be used to test for a significant difference between the population proportions for the two years.
b
What is the sample proportion indicating that their financial security was more that fair in 2012?In 2010?
c
Conduct the hypothesis test and compute the p-value.At a .05 level of significance what is your conclusion?
Answer:
a
The null hypothesis is [tex]H_o : p_1 = p_2[/tex]
The alternative hypothesis is [tex]H_a : p_1 \ne p_2[/tex]
b
in 2012 [tex]\r p_1 =0.41[/tex]
in 2010 [tex]\r p_2 =0.35[/tex]
c
The p-value is [tex]p-value = 0.0072 [/tex]
The conclusion is
There is sufficient evidence to conclude that the proportion of those indicating that financial security is more fair in Feb 2010 is different from the proportion of those indicating that financial security is more fair in Feb 2012.
Step-by-step explanation:
From the question we are told that
The sample size in 2012 is [tex]n_1 = 1000[/tex]
The number that indicated that their finance was more than fail is k = 410
The sample size in 2010 is [tex]n_2 = 900[/tex]
The number that indicated that their finance was more than fail is u = 315
The level of significance is [tex] \alpha = 0.05[/ex]
The null hypothesis is [tex]H_o : p_1 = p_2[/tex]
The alternative hypothesis is [tex]H_a : p_1 \ne p_2[/tex]
Generally the sample proportion for 2012 is mathematically represented as
[tex]\r p_1 = \frac{k}{n_1}[/tex]
=> [tex]\r p_1 = \frac{410}{1000}[/tex]
=> [tex]\r p_1 =0.41[/tex]
Generally the sample proportion for 2010 is mathematically represented as
[tex]\r p_2 = \frac{u}{n_2}[/tex]
=> [tex]\r p_2 = \frac{315}{900}[/tex]
=> [tex]\r p_2 =0.35[/tex]
Generally the pooled sample proportion is mathematically represented as
[tex]\r p = \frac{k + u }{n_1 + n_2}[/tex]
=> [tex]\r p = \frac{410 + 315 }{1000+ 900}[/tex]
=> [tex]\r p = 0.3816 [/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{( \r p_1 - \r p_2 ) - 0}{\sqrt{\r p (1 - \r p ) ( \frac{1}{n_1} +\frac{1}{n_2} )} }[/tex]
[tex]z = \frac{( 0.41 -0.35 ) - 0}{\sqrt{0.3816 (1 - 0.3816 ) ( \frac{1}{1000} +\frac{1}{900} )} }[/tex]
[tex]z = \frac{( 0.41 -0.35 ) - 0}{\sqrt{0.3816 (1 - 0.3816 ) ( \frac{1}{1000} +\frac{1}{900} )} }[/tex]
[tex]z = 2.688[/tex]
Generally the p- value is mathematically represented as
[tex]p-value = 2 P(Z >2.688 )[/tex]
From the z -table
[tex]P(Z > 2.688) = 0.0036 [/tex]
So
[tex]p-value = 2 *0.0036 [/tex]
[tex]p-value = 0.0072 [/tex]
So from the p-value obtained we see that p-value < [tex]\alpha[/tex] so we reject the null hypothesis
Thus there is sufficient evidence to conclude that the proportion of financial security is more fair in Feb 2010 is different from the proportion of financial security is more fair in Feb 2012.
How many solutions does this equation have ?
2(2x-1)=(x+1)+3(x-1)
PLSS help i dont understand I found w =59 but dont know how to find the rest
Answer:
i think that Y= 59 because of it being a vertically opposite angle and X= 121 because of the line being a straight one and angles on a straight line add to 180
Step-by-step explanation:
hope this helps :))
FIRST ANSWER GETS CROWNED BRAINLIEST!!!
If the slope of a line is 1/2, find x when (-4, 12) and (x, 5) ?
Please show formula.
Answer:
x = -18
Step-by-step explanation:
Well you just have to do the this formula to find the slope
[tex]\frac{y2 - y1}{x2 - x1}[/tex] Plug in
[tex]\frac{5 - 12}{x - -4 }[/tex] = [tex]\frac{-7}{?}[/tex]=[tex]\frac{1}{2}[/tex]
So we know x will have to be a negative to get 1/2
I would think x = -18 because -18 - -4 = -14 so it would look like this
[tex]\frac{5 - 12}{-18 - -4}[/tex] = [tex]\frac{-7}{-14}[/tex] =[tex]\frac{1}{2}[/tex]
When you further simplify -7/-14 you get 1/2
Which statements are true about the graph of the function f(x) = x2 - 8x + 5? Select three options.
The function in vertex form is f(x) = (x - 4)2 - 11.
The vertex of the function is (-8,5).
The axis of symmetry is x = 5.
The y-intercept of the function is (0.5).
The function crosses the x-axis twice
Answer:
A, D, E
Step-by-step explanation:
The statements that are true about the graph of the function are
The function in vertex form is f(x) = (x - 4)^2 - 11.The y-intercept of the function is (0,5).The function crosses the x-axis twiceVertex and intercept of a functionThe standard equation of a function in vertex form is expreseed as:
a(x-h)^2 + k
Given the quadaratic function f(x) = x^2 - 8x + 5, the expression in vertex form is given as:
f(x) = (x^2-8x + 4^2) - 16 + 5
f(x) = (x-4)^2 - 16 + 5
f(x) = (x-4)^2 - 11
Find the y-intercept.
This is the point here x = 0
f(0) = 0^2 - 8(0) + 5
f(0) = 5
Hence the y-intercept of the function is at (0, 5)
Since the quadratic function has a leading degree of 2, hence the function crosses the x-axis twice
Learn more on vertex and intercepts here: https://brainly.com/question/12778829
Which function h(x) results when g(x) is translated IT
units right and 1 unit down?
Answer:
b on edge
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Got it right on Edge
Solve for n. 170-4n=120
Answer:
n = 12.5 or 25/2
Step-by-step explanation:
170-4n = 120
1. Subtract 170 from both sides to isolate -4n.
-4n = -50
2. Divide both sides by -4 to isolate the n.
n = 12.5 or 25/2
Hope this helped!
Answer:
12.5
Step-by-step explanation:
170 - 4n = 120
-170 -170
-4n = -50
4n = 50
n = 12.5
What times 21 equals 7? Is that even possible to multiply something by 21 to get 7?
Answer:
Step-by-step explanation:
What is the measure of the missing angle?
76
166
86
156
• Earth: $$ kilograms
• Sun: $$ kilograms
How many Earths weigh about as much as the Sun?
Use scientific notation.
What is the area of this triangle? And it's not 60, I already checked. PLEASE EXPLAIN!!!!
Answer:
A = 4 cm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 b*h
The base is 4 and the height is 2
A = 1/2 ( 4*2)
A = 1/2*8
A = 4 cm^2
Answer:
4
Step-by-step explanation:
A = BH/2
or Area = Base multiplied by Hieght divided by 2.
(b)4 x (h)2 = 8
8/2 = 4
Wade has three more quarters than dimes. The total value of the dimes and quarters together is $13. How many quarters does he have?
Answer:
38 Quarters
Step-by-step explanation:
D=number of dimes; Q=number of quarters=D+3
.
$0.10D+$0.25Q=$13
$0.10D+$0.25(D+3)=$13
$0.10D+$0.25D+$0.75=$13
$0.35D=$12.25
D=35
.
Q=D+3=35+3=38
ANSWER: He has 38 quarters.
Find the value of x in each of the following
a) 2x/3= 8
b) 3x/2=6
Answer:
A) X = 12
B) X = 4
Step-by-step explanation:
For both equations, the first step is the same. You must isolate x.
A) 2x/3 = 8
Multiply each side by 3 to get rid of the fraction.
2x = 24
Divide by 2.
x = 12
B) 3x/2 = 6
Multiply each side by 2 to get rid of the fraction.
3x = 12
Divide by 3.
x = 4
What is the product of 4x - 1 and 3x + 5?
Answer:
the right answer is 7x+4
If Vivian rides for 7 hours on a bicycle, what is her rate if she rides 84 miles?
Answer:
12
Step-by-step explanation:
84/7 is 12, so she was going 12 mph
A marathon runner travels 7/4 of a mile in 1/4 hour. What is the runner's unit rate?
Answer:
The runner's unit rate is: 7 mph
Step-by-step explanation:
The runner's unit rate is the speed of the runner used to cover a mile in one hour
Given that ;
1/4 hours covers 7/4 miles
so;
1/4 = 7/4
1 =?
Perform cross product as;
(1*7/4) / 1/4
(7/4) / (1/4)
7/4 * 4/1
7 miles/hour
Evaluate the piecewise defined function at the indicated values.
{x² + 4x if x <equal/greater to -1
f(x) = { x if - 1<x< equal/greater to 1
{-1 x > 1
f(-2)=
f(-3/2)=
f(-1) =
f(0) = 0
f(25) =
Given:
Consider the piecewise function is
[tex]f(x)=\left \{\begin{matrix}x^2+4x,\text{ if } x\leq -1\\ x, \text{ if }-1<x\leq 1\\-1,\text{ if }x>1\end{Matrix}\right.[/tex]
To find:
The value of the function at indicated values.
Solution:
We know that, [tex]-2,-\dfrac{3}{2},-1[/tex] are less than or equal to -1. So, for these values the function is [tex]f(x)=x^2+4x[/tex].
For x=-2,
[tex]f(-2)=(-2)^2+4(-2)[/tex]
[tex]f(-2)=4-8[/tex]
[tex]f(-2)=-4[/tex]
Similarly,
For [tex]x=-\dfrac{3}{2}[/tex].
[tex]f(-\dfrac{3}{2})=(-\dfrac{3}{2})^2+4(-\dfrac{3}{2})=-\dfrac{15}{4}[/tex]
For [tex]x=-1[/tex].
[tex]f(-1)=(-1)^2+4(-1)=-3[/tex]
We know that, 0 is lies between -1 and 1. So, for this values the function is [tex]f(x)=x[/tex].
For x=0,
[tex]f(0)=0[/tex]
We know that, 25 is greater than 1. So, for this values the function is [tex]f(x)=-1[/tex].
For x=25,
[tex]f(25)=-1[/tex]
Therefore, the required values are, [tex]f(-2)=-4, f(-\dfrac{3}{2})=-\dfrac{15}{4},f(-1)=-3,f(0)=0,f(25)=-1[/tex].
Which of the following expressions is equivalent to 30 + 40?
A. 5(25 + 35)
B. 10(3 + 4)
C. 15(2 + 3)
D. 5(6 + 8)
Answer:D. 5(6+8)
Step-by-step explanation:First you need to distribute. Multiply 5 by both numbers inside parentheses. 5x6=30 and 5x8=40. This gives you 30+40
tell me how to solve 3 1/2 x 2 3/4
Answer:
9.625
Step-by-step explanation:
(3 1/2) x (2 3/4) = 9.625
Answer:
.........................
A person places $290 in an investment account earning an annual rate of 2.2%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 18 years.
Answer:
$430.90Step-by-step explanation:
Given that the principal p= $290
rate r= 2.2% 2.2/100 =0.022
time t= 18years
by applying the expression
[tex]V = Pe^{rt}[/tex]
We have
[tex]V = 290e^{0.022*18}\\\\V=290e^{0.396}\\\\V=290*1.48586931755\\\\V=$430.90[/tex]
Hence after 18years the money in the account will be $430.90
if f(x)=3^x+10 and g(x)=2x-4, find (f-g)(x)
=====================================
Work Shown:
(f - g)(x) = f(x) - g(x)
(f - g)(x) = ( f(x) ) - ( g(x) )
(f - g)(x) = ( 3^x + 10 ) - ( 2x-4 )
(f - g)(x) = 3^x + 10 - 2x+4
(f - g)(x) = 3^x - 2x + (10+4)
(f - g)(x) = 3^x - 2x + 14
John ran 3 miles in 25.2 minutes. The equation y = 8.5x, where x represents the number of miles and y represents the total time in minutes, represents this situation. What is the constant of proportionality? What does the constant of proportionality represent in the context of the problem?
Step-by-step explanation:
It is given that,
John ran 3 miles in 25.2 minutes. We can find the speed of john as follows :
Speed = distance/time
v = [tex]\dfrac{3\ \text{miles}}{25.2\ \text{minutes}}=0.1190\ \text{miles/minutes}[/tex]
The equation y = 8.5x, where x represents the number of miles and y represents the total time in minutes, represents this situation. y is proportional to x with constant of proportionality 8.5.
Velocity of John is 0.1190 miles/minute. We can write it in the form of equation as :
y = 0.1190x
In this problem, the constant of proportionality is 0.1190.
Step by step 2 step equation: v/6-4=-5
Find the missing number?
Answer:
$4.60 and $18.40
Step-by-step explanation:
The total cost of one milk carton is $2.30. I got this by dividing $9.20 by 4. If you multiply $2.30 by 2, you get $4.60. If you multiply $2.30 by 8, you'll get $18.40.
calculate E, the amount of euros that has the same value as D U.S. dollars, using the equation E=17/20D=
The given equation is: E=17/20 D , where E=amount of Euros and D= amount of U.S dollar.
Now for 1 U.S dollar, we need to plug D=1 into the above equation. So, we will get.........
E=17/20(1)
E=1/20=0.85
0.85 Euros have the same amount as 1 U.S dollar.
HOPE IT HELPS (◕‿◕✿) SMILE!!
Line v passes through point (6, 6) and is perpendicular to the graph of y = 34x – 11. Line w is parallel to line v and passes through point (–6, 10). Which is the equation of line w in slope-intercept form?
A. y = 34x + 2
B. y = –34x + 2
C. y = 43x + 2
D. y = –43x + 2
Which equation is true when X = -5?
2/5x+15-17
7+5x = 18
6- 4x = -14
0.5-2.4x = 12.5
Answer: 0.5-2.4x=12.5
Step-by-step explanation:
-2.4(-5)=12
0.5+12=12.5
Steve stayed after school for extra activities 55% of the 180 school days this year. How many days did Steve stay after school?
Answer:
11/20 or 99/180 days
Step-by-step explanation:
55/100 converted to ?/180
180/100=1.8
so you would do the same on the numerator which is 55*1.8=99
99/180= 33/60=11/20
Answer:
125
Step-by-step explanation:
if the first one was blurry but pls help
Answer:
400 minutes it will take
9 x 10^-9 in standard form
Answer:
[tex]9^{1000000000}[/tex]
Step-by-step explanation: