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Answer:

The 99% confidence interval estimate for the difference between the percentage of women and men who prefer the beach over the mountains is -18.72% < (p₁ - p₂) < 4.72%

Step-by-step explanation:

The given parameters are;

Sample size of the women sample, n₁ = 200

Percentage of the women that prefer beach, p₁ = 45%, [tex]\hat p_1[/tex] = 0.45

Sample size of the men sample n₂ = 300

Percentage of the men that prefer beach, p₂ = 52%, [tex]\hat p_2[/tex] = 0.52

Confidence level of the confidence interval = 99%

α = 1 - 0.99 = 0.01, therefore, α/2 = 0.005

The equation for the confidence interval for the difference between two proportions is given as follows;

[tex]\left (\hat{p}_{1} - \hat{p}_{2} \right )\pm z_{\alpha /2}\sqrt{\dfrac{\hat{p}_{1}(1-\hat{p}_{1})}{n_{1}}+\dfrac{\hat{p}_{2}(1-\hat{p}_{2})}{n_{2}}}[/tex]

[tex]z_{\alpha /2}[/tex] = ±2.57 from the z score tables

Plugging in the vales, we have;

[tex]\left (0.45 - 0.52 \right )\pm 2.57\sqrt{\dfrac{0.45(1-0.45)}{200}+\dfrac{0.52(1-0.52)}{300}}[/tex]

Which gives;

-0.1872 < [tex](\hat p_1 - \hat p_2)[/tex] < 0.0472

The 99% confidence interval estimate for the difference between the percentage of women and men who prefer the beach over the mountains = -18.72% < (p₁ - p₂) < 4.72%.

Answer:

y=5x

.-.-.-.

jhvghcfghvbkhhx

Answer:

D

Step-by-step explanation:

You find the slope by doing [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

The slope is 5

Answer:

[tex]9^{-7}, 9^{-2}[/tex]

Step-by-step explanation:

[tex]\frac{9^5\times9^{-9}}{9^3}\\\frac{9^{-4}}{9^3}\\ 9^{-7}[/tex]

When you multiply like terms, you add their powers. When dividing like terms, you subtract their powers (subtract the power in the denominator from the one in the numerator).

[tex](9^4)^3\times9^{-14}\\9^{12}\times9^{-14}\\9^{-2}[/tex]

Answer:

f(x) = -1/2x + 2

Step-by-step explanation:

f(x) = ax + b

x = 0 , y = 2

y = 0 , x = 4

[tex]a = \frac{y'' - y'}{x'' - x'}\\a= \frac{2 - 0}{0 - 4} \\a= \frac{2}{-4} = \frac{-1}{2}[/tex]

[tex]0 = \frac{-1}{2} . 4 + b\\0 = -2 + b\\b = 2[/tex]

f(x) = -1/2x + 2

Answer:

Option A.

Step-by-step explanation:

Graph of function has been given in the figure.

Coordinates of the points lying on this graph will be

x     -2        -1         0          1        2

y    -10       -3        -2         -1        6

Therefore, coordinates of the points which will lie on the inverse of this function will be

x     -10      -3        -2       -1       6

y      -2       -1         0        1       2

Therefore, Option A. will be the answer.

Answer:

x = 180

Step-by-step explanation:

We can use ratios to solve

2 chocolates        5 chocolates

--------------------- = ------------------

72 calories                x calories

Using cross products

2 *x = 5*72

2x = 360

Divide each side by 2

2x/2 = 360/2

x = 180

Set up a ratio 2/72 = 5/x.

Now use cross-products.

(2)(x) = (5)(72).

2x = 360.

Now divide both sides by 2.

This gives us x = 180.

So, Jodi consumes 180 chocolates when she eats 5 chocolates.

Answer:

The probability of rolling a 3 is 1/6 as there is only one face labeled "3" out of 6 total.

Multiplying the two probabilities gives (1/2)*(1/6) = (1*1)/(2*6) = 1/12 (Correct Answer)

The two events are independent from one another.

Step-by-step explanation:

Basically plug in all X values given on the table into the graph to get the y values. Now you have a coordinate that you can plot on the graph given.

Answer:

75 km / h = 1250 m / m;

Solution ⇒ 1250 meters / minute

Step-by-step explanation:

Take a look at the explanation below;

[tex]75 km / hour - m / minute,\\75 km = 75 * 1000 meters = 75000 meters,\\\\1 hour = 60 minutes,\\75 kilometers / hour = 75000 meters / 60 minutes,\\\\75000 meters / 60 minutes = 1250 meters / minute\\[/tex]

Conclusion; 1250 meters / minute

Answer:

-(x+7)/6

Step-by-step explanation:

y = -6x-7

Exchange x and y

x= - 6y-7

Solve for y

Add 7 to each side

x+7 = -6y-7+7

x+7 = -6y

Divide by -6

(x+7) / -6 = -6y/-6

(x+7)/ -6 = y

The inverse is -(x+7)/6

Answer: first one is A, Second is c

Step-by-step explanation:

Answer:

[tex]f(n)=f(n-1)+22[/tex].

Step-by-step explanation:

Note: In the given function it should be (n-1) instead of (n=1).

Consider the given function is

[tex]f(n)=-11+22(n-1)[/tex]

It is the explicit form of an A.P.

For [tex]n=1[/tex],

[tex]f(1)=-11+22(1-1)=-11+0=-11[/tex]

For [tex]n=2[/tex],

[tex]f(2)=-11+22(2-1)=-11+22=11[/tex]

Common difference is  

[tex]d=a_2-a_1=11-(-11)=11+11=22[/tex]

The recursive formula of an A.P. is

[tex]f(n)=f(n-1)+d[/tex]

Substitute [tex]d=22[/tex] in the above formula.

[tex]f(n)=f(n-1)+(22)[/tex]

[tex]f(n)=f(n-1)+22[/tex]

Therefore, required recursive formula is [tex]f(n)=f(n-1)+22[/tex].

Answer:

the LCM for 5 and 6 is 30

the LCM for 4 and 8 is 8

Answer:

1. $3.85 per gallon

2. $1.59

3. 7/12

Step-by-step explanation:

1. Jayden spent $46.20 on 12 gallons of gasoline. The price per gallon can be gotten by dividing the total price paid by the total number of gallons bought:

46.20 / 12 = $3.85 per gallon

The price per gallon is $3.85

2. Jayla buys 1.2 pounds of bananas and they cost $1.29 per pound. The total amount paid for the bananas is:

1.2 * 1.29 = $1.59

3. Billy ate 1/4 of a pizza, and Wi ate 1/3 of the same pizza. The total fraction of the pizza ate is:

1/4 + 1/3 = 7/12

They ate 7/12 of the pizza

Answer: No, because the line does not touch any points.

Step-by-step explanation:

A line of best fit should pass through most if not all of the points on a graph. If it does not, it can't be considered a line of best fit.

Answer:

Yes, because it passes through the center of the data points.

Step-by-step explanation :

Its D because, the line of best fit does not have to touch any points, it has to be the closest possible to the points.

Answer:

The answer would be, 2.75

Step-by-step explanation:

Add all the numbers up:

0+1+1+2+3+4+5+6=22

Divide the answer by the amount of numbers:

22÷8=2.75

Answer:

The mean of the following dot plot:

Mean: 3

Step-by-step explanation:

0 x 1 = 0

3 x 1 = 3

6 x 1 = 6

(we only add the numbers that only has a dot on the number in the dot plot)

So:

Mean: 0 + 3 + 6 = 9/3 = 3

Answer:

Step-by-step explanation:

20 x 15%

is equal too...

20 x 0.15

and that is equal to

...

3

Answer:

m= 1/4

Step-by-step explanation:

tried helping I don't know if this is the right way to do it for you

Answer:

subtract 2x on both sides

Step-by-step explanation:

Answer:

x= -3

Step-by-step explanation:

Move The Terms:

8x -2x =3 = -15

Collect like terms and calculate:

6x = -15-3

Divide both sides of the equation by 6:

x = -3

Final answer:

x= -3

Hope this helped have a good day

Answer:

(-1,1)

Step-by-step explanation:

The solution to the system of equations is where the two lines cross

They cross at x=-1 y=1

(-1,1)

Answer:

The answer is (-1,1)

Step-by-step explanation:

First of all, you can see where the two lines intersect.

Also, if there was no graph, then you could solve by substitution:

1. Substitute y from y = 2x + 3 to -x

2. Then simplify

-x = 2x + 3

subtract 2x from each side

-3x = 3

divide -3 from each side

x = -1

3. To solve for the value of y, you can plug -1 for x and solve.

y = -(-1)

y = 1

Answer:

12

Step-by-step explanation:

Answer:

3.1

Step-by-step explanation:

15.7 - 12.6 = 3.1

Pls mark me brainliest !!

Answer: he invested $120000 at 6% and $281000 at 9%

Step-by-step explanation:

Let x represent the amount invested at 6%

Let y represent the amount invested at 9%

The Actor invest some money at 6% and $41000 more than twice the amount at 9%. This means that

y = 2x + 41000- - - - - - - - - 1

The interest gotten from x is

6/100 × x = 0.06x

The interest gotten from y is

9/100 × y = 0.09y

The total annual interest earned from the investment is $32490. It means that

0.06x + 0.09y = 32490- - - - - - - - -2

Substituting equation 1 into equation 2, it becomes

0.06x + 0.09(2x + 41000) = 32490

0.06x + 0.18x + 3690 = 32490

0.06x + 0.18x = 32490 - 3690

0.24x = 28800

x = 28800/0.24

x = 120000

Substituting x = 120000 into equation 1, it becomes

y = 2(120000) + 41000

y = 281000

Answer:

It is 3.

Step-by-step explanation:

By looking at the sentences, you can translate the sentences to equations.

The sum of two numbers is 90, so this involves addition because the sum is the answer of an addition problem. x+y=90.

x is the larger number

y is the smaller number

The larger number is 14 more than or addition sign 3 times or multiplying the smaller number (y).

The equation would be x=14+3y because it is 3 times the smaller number.

Hope this helps!

Answer:

The minimum number of letters John has to send to be sure that Peter receives his letter is 127 letters

Step-by-step explanation:

The four digit numbers that are multiples of 5 and 7 with the last digit = 0 is found as follows  

Since the last digit of the house number = 10, then the house number is divisible by 10 which also meets the condition that the house number is divisible by 5

We have the four digit numbers from 1000 to 9999

Hence the numbers divisible by both 7 and 10 are from (1000/70 (Which is 14 + 2/7) - 2/7)×70 + 70 = 1050 to (9999/70 (Which is 142 + 59/70)- 59/70)×70= 9940

Which gives 142 - 15 =  127 numbers which are four digit number multiples of 5 and 7 with the last digit = 0

Hence the minimum number of letters John has to send to be sure that Peter receives his letter = 127 letters.

The minimum number of letters that John will have to send to ensure Peter receives his letter is : 127 letters

Applying the given information;

size of house number = Four digits which is a multiple of 5 and 7

House number ends with 0

given that the last number has a 0 digit the house number is divisible by 5 because it is divisible by 10

The Four digit house number will fall between : 1000 to 9999

    ( 1000 / 70 ) = [tex](14 + 2/7) - 2/7)*70 + 70 = 1050[/tex]

    ( 9999 / 70 ) = [tex]( 142 + 59/70)- 59/70)*70= 9940[/tex]

∴ The minimum number of letters of a four digit number that is a multiple of    5 and 7 and whose last digit = 0 will be

     142 - ( 14 + 1 ) = 127 letters

Learn more : https://brainly.com/question/9215444

Answer:

$1.24

Step-by-step explanation:

5% of 6.24 x 4 .If you're rounding then it's $1.25 (but also who's letting someone open an account with 6 dollars)

(edit:forgot the explaination)