pls help me math for 2 answer. user number 1 as #1 and number 2 as#2​

The smallest sample size that will result in a margin of error of no more than 5% for a 95% confidence interval is given as follows:

385.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The margin of error is modeled as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

We have no estimate, hence we consider that:

\(\pi = 0.5\)

The minimum sample size is obtained as n when M = 0.05, hence:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.05 = 1.96\sqrt{\frac{0.5(0.5)}{n}}\)

\(0.05\sqrt{n} = 1.96 \times 0.5\)

\(\sqrt{n} = 1.96 \times 10\) (0.5/0.05 = 10).

\((\sqrt{n})^2 = (1.96 \times 10)^2\)

n = 384.16

Hence rounded to 385, as a sample size of 384 would have a margin of error slightly above 0.05.

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

Given statement 'y is less than -2 ' in inequality notation would be, y < -2

In this question we have been given a statement 'y is less than -2'

We need to write given statement in inequality notation.

We know that, an inequality is a mathematical expression where two non-equal mathematical expressions or numbers are compared.

We know that we use '<' notation for less than.

Consider given statement:

y is less than -2.

⇒ y < -2

Therefore, given statement 'y is less than -2 ' in inequality notation would be, y < -2

Learn more about an inequality here;

https://brainly.com/question/19003099

#SPJ1

Answer:

40

Step-by-step explanation:

Angle Formed by Tangent and Secant = 1/2 (DIFFERENCE of Intercepted Arcs)

< WVT = 1/2 ( WT - UW)

3x+4    = 1/2 (( 14x +7) - (7x+11))

Distribute

3x+4    = 1/2 ( 14x +7 - 7x-11)

Combine like terms

3x+4    = 1/2 ( 7x -4 )

Multiply each side by 2

6x +8 = 7x-4

Subtract 6x from each side

+8 = x-4

Add 4 to each side

12 =x

WVT = 3x+4

        = 3*12 +4

       = 36+4

       = 40

Answer:

Abdul and Diane brought 137 cans in all.

Step-by-step explanation:

Abdul brought 16 packs that had eight cans each so to find how many cans he brought in total you do:

16 × 8 = 128

Diane brought 9 cans.

To find what they brought in all add the two amounts together:

128 + 9 = 137

Please mark Brainliest!

Answer:

Explanation: We have been given a fraction 7/8 and we need to divide it by 6 and write it in simplest terms.

Dividing and simplifying gives us following:

Answer:

Step-by-step explanation:

Let the value of the land = Rs . 30000

\(\frac{1}{3}of\frac{1}{7}of x = 30000\\\\\\\frac{1}{3}*\frac{1}{7}*x = 30000\\\\\\x = 30000*\frac{3}{1}*\frac{7}{1}\\\\\\\)

x = Rs. 630000

Answer:

→To combine the two functions, you have to multiply them together, like so:

h(x) · s(x)

→This can also be shown as:

\((103)(1.03)^x^-^1\)

The reason as to why you would multiply the two functions together, and not add, is because of the words accrues. Based on the information given, the interest amount of money, which is $103, accrues, which basically means that the money will increase in a pattern, over time. In addition, when a world problem involves a bank and money, multiplication is usually occurring.

The total amount of money Christina will have in her bank account as interest accrues after she deposits her $103 is g(x) = (103)(1.03)^(x-1).

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function,

\(h(x) = 103\)

She reads about a bank that has savings accounts that accrue interest according to the function,

\(s(x) = (1.03)^{(x-1)}\)

This function means that the interest amount is 3% in value per year in which x represent the number of years.

Now the total amount of money she will have in her bank account as interest accrues will be equal to the product principal and interest rate.

Let the amount of money she will have in her bank account as interest accrues is represented by function g(x). Thus,

\(g(x) = (103)(1.03)^{(x-1)}\)

Thus, the total amount of money Christina will have in her bank account as interest accrues after she deposits her $103 is.

\(g(x) = (103)(1.03)^{(x-1)}.\)

Learn more about the simple interest here;

https://brainly.com/question/2294792

the line passes through the point ( - 8 ; - 2)

so f(-8) = - 2

Answer:

-169

Step-by-step explanation: add 45 on both sides

Answer:

r=-169

Step-by-step explanation:

I hope it helped bro

Answer:

c

Step-by-step explanation:

Temperament is to do with the personality of someone.

Thus the dog's temperament would relate to its physical and mental character.

c

Temperament is to do with the personality of someone.

Thus the dog's temperament would relate to its physical and mental character.

Answer:

-4(y-2)=12

-4y+8=12

-4y=4

y = -1

Step-by-step explanation:

Have a wonder rest of your day!!! I hope this helps you!!! :)

Please follow me I would really appreciate it :)

Answer:

D

Step-by-step explanation:

a=\(\sqrt{c^{2} -b^{2} }\)

\(\sqrt{5^{2} -3^{2} } =\)4

a=4

But since (a-1) and (a+1) are both divisible by 2^n-1, one of them must be divisible by 2^n, which means that k or l must be even. This is a contradiction, which means that (l-k) cannot be equal to 2. Therefore, we have shown that 3 is a quadratic nonresidue for all mersenne primes p > 3.

A quadratic nonresidue is a number that is not a quadratic residue. The quadratic residue means a number which can be expressed as x^2 mod n for some integer value of x, and n is a positive integer. For all mersenne primes p > 3, we need to show that 3 is a quadratic nonresidue, using a proof by contradiction. We assume that 3 is a quadratic residue, which means that there exists an integer a such that a^2 mod p

= 3. Now we can write the mersenne prime as p

=2^n-1 for some positive integer n. Therefore, a^2 mod (2^n-1)

= 3.Using Fermat’s Little Theorem, we can write:a^(2^n-2) mod (2^n-1)

= 1We can write 2^n-1 as (a-1)(a+1). So, a^(2^n-2) mod (a-1)(a+1)

= 1.Now, since p is a prime number, a and 2^n-1 must be co-prime to each other. Thus, (a-1) and (a+1) must be divisible by 2^n-1. Hence, we can write (a-1)

= k(2^n-1) and (a+1)

= l(2^n-1) for some integers k and l.Now we can write 2

= (a+1) - (a-1)

= l(2^n-1) - k(2^n-1)

= (l-k)(2^n-1)Since 2^n-1 is an odd number, 2 must be divisible by (l-k), which means that (l-k) must be either 1 or 2. If (l-k) = 1, then a+1

= l(2^n-1) and a-1

= k(2^n-1)

= (l-1)(2^n-1). Therefore, we have a

= l(2^n-1)-1 and a

= (l-1)(2^n-1)+1. This gives us 2^n-2

= l+k, which means that l+k is even. But since (a-1) and (a+1) are both divisible by 2^n-1, one of them must be divisible by 2^n, which means that l or k must be even. This is a contradiction, which means that (l-k) cannot be equal to 1.If (l-k)

= 2, then a+1

= 2k(2^n-1) and a-1

= (k-1)(2^n-1). Therefore, we have a

= 2k(2^n-1)-1 and a

= (k-1)(2^n-1)+1. This gives us 2^(n-1)-1

= k+l, which means that k+l is odd. But since (a-1) and (a+1) are both divisible by 2^n-1, one of them must be divisible by 2^n, which means that k or l must be even. This is a contradiction, which means that (l-k) cannot be equal to 2. Therefore, we have shown that 3 is a quadratic nonresidue for all mersenne primes p > 3.

To know more about contradiction visit:

https://brainly.com/question/28568952

#SPJ11

Answer:

i Don't understand what ur saying

Step-by-step explanation:

Answer:

Nagtatanong ka ba? kung ganun ano yun

The value of the function f(-2) is (a) -1

From the question, we have the following parameters that can be used in our computation:

f(x) = [x³,  x < -3

        | 2x² - 9, x > -3

        { 5x+4, x ≥ 4

To calculate the function f(-2), we make use of the domain

x > -3

This is because

-2 > -3

So, we have

f(x) = 2x² - 9

Substitute the known values in the above equation, so, we have the following representation

f(-2) = 2(-2)² - 9

Evaluate

f(-2) = -1

Hence, the function is (a) -1

Read more about piecewise functions at

https://brainly.com/question/27262465

#SPJ1

Answer:

9. 6.32

10. 4.12

Step-by-step explanation:

9. c^2 = 2^2 + 6^2 = 4 + 36 = 40

c = √40 = 6.32

10. c^2 = 1^2 + 4^2 = 17

c = √17 = 4.12

Answer:

he made a good choice, the width is: 4 inches

Step-by-step explanation:

12 x 8 x _4_ = 384

Answer:

\(\huge\boxed{\sf -2.280}\)

Step-by-step explanation:

Finding value of log₃(4/49):

\(\displaystyle = log_{3}\frac{4}{49} \\\\= log_{3} (\frac{4}{7^2} )\\\\\underline{Using \ log \ rule \ :} \ log( \frac{a}{b} )= log \ a - log \ b \\\\= log_{3}4 - log_{3}7^2\\\\\underline{Using \ log \ rule \ : } \ log \ a ^m = m \ log \ a \\\\= log_{3}4 - 2(log_{3}7)\\\\\)

Given that:

log₃4 ≈ 1.262, log₃7 ≈ 1.771

Put the values in the above expression

\(= 1.262-2(1.771)\\\\= 1.262 - 3.542\\\\= \bold{-2.280}\\\\\rule[225]{225}{2}\)

The correct option is (a). Given 2 cos 0 = =, tan 8 < 0, we need to find the exact value of sin 6.3.O. According to the given information: 2 cos 0 = =  ⇒ cos 0 = 2/0, but cos 0 = 1 (as cos 0 = adjacent/hypotenuse and in a unit circle, adjacent side of angle 0 is 1 and hypotenuse is also 1).

Given 2 cos 0 = =, tan 8 < 0, we need to find the exact value of sin 6.3.O. According to the given information:

2 cos 0 = =  ⇒ cos 0 = 2/0, but cos 0 = 1 (as cos 0 = adjacent/hypotenuse and in a unit circle, adjacent side of angle 0 is 1 and hypotenuse is also 1).

Hence 2 cos 0 = 2 * 1 = 2tan 8 < 0 ⇒ angle 8 lies in 2nd quadrant where tan is negative. Here's the working to find the value of sin 6: We know that tan θ = opposite/adjacent where θ is the angle, then opposite = tan θ × adjacent......

(1) Since angle 8 lies in 2nd quadrant, we take the adjacent side as negative. So, we get the hypotenuse and opposite as follows:

adjacent = -1, tan 8 = opposite/adjacent  ⇒  opposite = tan 8 × adjacent   ⇒ opposite = tan 8 × (-1) = -tan 8Hypotenuse = √(adjacent² + opposite²)  ⇒ Hypotenuse = √(1 + tan² 8) = √(1 + 16) = √17

So, the value of sin 6 can be obtained using the formula for sin θ = opposite/hypotenuse where θ is the angle. Hence, sin 6 = opposite/hypotenuse = (-tan 8)/√17

Exact value of sin 6 = - tan 8/ √17

Answer: Option A: - √5

To know more about hypotenuse visit: https://brainly.com/question/16893462

#SPJ11

The margin of error will be E = ± 4.04 %

The margin of error is defined as the error in the sample data of the statistics.

Given that:-

sample data = ( p ).

success p^ = success percentage = 40 %

confidence interval CI = 98%

sample size n = 800

margin of error E:

E=z-critical \(\dfrac{\sqrt{P(P-1)}}{n}\)

The margin of error "E" for estimation of population proportion ( p ) is given by:

P ( Z < Z-critical ) = a/ 2

a = 1 - CI  

P ( Z < Z-critical ) = (1 - 0.98) / 2  

P ( Z < Z-critical ) = 0.01    

Z-critical = 2.33  

The error E = ± 4.04 %

Thus, the correct answer is E=± 4.04 %

To know more about the margin of error follow

brainly.com/question/13031441

#SPJ4

The best mathematical model that fits the scatterplot is the logarithmic model. So, correct option is D.

To determine the best mathematical model that fits the scatterplot, we look at the coefficient of determination (R²) values for each regression model. The coefficient of determination indicates the goodness of fit of the regression model, with values closer to 1 indicating a better fit.

Given:

Linear regression R² value: 0.883

Quadratic regression R² value: 0.537

Exponential regression R² value: 0.492

Logarithmic regression R² value: 0.912

Comparing the R² values, we observe that the logarithmic regression model has the highest value of 0.912. This indicates that the logarithmic regression model provides the best fit to the scatterplot among the given options.

Therefore, correct option is D.

To learn more about scatterplot click on,

https://brainly.com/question/10598720

#SPJ4

Answer:

D i searched it up and thats what the answer is

Answer:

C. is the right answer.

Step-by-step explanation:

by using pythagoras theorem which is:

C^2=a^2+b^2

the square root of 5 is 25

and the square root of 8 is 64

C^2=25+64

C^2=89

now get rid of the square

C=the square root of 89

Answer:

I think you mean 2, so here is the answer for that.

Step-by-step explanation:

4/10 can also be written as 2/5 or 8/20.

therefore Karim lives 2/5, 8/20, or 4/10 fraction of a mile away from the mall

Hope this helps!

Answer:

I think you mean 2, so here is the answer for that.

Step-by-step explanation:

4/10 can also be written as 2/5 or 8/20.

therefore Karim lives 2/5, 8/20, or 4/10 fraction of a mile away from the mall

Hope this helps!

There are 10560 ways we form a subcommittee of 5 members that have at least one member from each party.

Combinations are defined as the selections made by taking some or all of a number of objects, irrespective of their arrangements.

The number of combinations of n different things taken r at a time, denoted by nCr and it is given by,

\(^nC_{r} =\frac{n!}{r!(n-r)!}\)

where 0 ≤ r ≤ n.

The given information is committee has 8 republicans and 6 democrats.

we have to form a subcommittee of 5 members with at least one from each group.

Hence we need to select one from each and then the remaining 3 can be of any type.

No of ways =  ⁸C₁*⁶C₁*¹²C₃

                    = 48*220

No of ways=10560 ways.

To know more about Combinations:

https://brainly.com/question/28065038

#SPJ4

Answer:

5.64

Step-by-step explanation:

To find the radius of a square, cut in half 4/2 = 2. Then square it 2x2 = 4. Then double it to get 8. Then find square root, 2.82. Then double again for full length of diagonal.

Answer:

4\(\sqrt{2}\)

Step-by-step explanation:

\(4^{2} + 4^{2} = 32\\ so \sqrt{32}\)\(\sqrt{32} = 4\sqrt{2\\}\)

According to the given statement , the heart beats 4,860 times in 1 minute.

The heart beats 81 times per minute. To find how many seconds it beats in 1 minute, we multiply 81 by 60 (since there are 60 seconds in a minute).

Step 1:

Multiply 81 by 60.
81 * 60 = 4,860

Step 2:

The heart beats 4,860 times in 1 minute.

The heart beats 4,860 times in 1 minute.

1. Multiply 81 by 60 to get the total number of beats in 1 minute.
2. The heart beats 4,860 times in 1 minute.

To more about heart beats visit:

https://brainly.com/question/15410333

#SPJ11

The heart beats 4860 times in 1 minute, or in other words, the heart beats 4860 beats per minute.

The heart beats 81 times in 1 minute.

To find out how many seconds the heart beats in 1 minute, we need to multiply the number of beats (81) by the number of seconds in 1 minute.

There are 60 seconds in 1 minute, so we can set up a proportion to solve for the number of seconds:

81 beats / 1 minute = x beats / 60 seconds

To solve this proportion, we cross multiply:

81 * 60 = x * 1

This simplifies to:

4860 = x

Therefore, the heart beats 4860 times in 1 minute, or in other words,

the heart beats 4860 beats per minute.

Learn more about  heart beats :

https://brainly.com/question/15410333

#SPJ11

The volume if the fish tank purchased by Darren is 17248 in³

Volume is the amount of space occupied by a three dimensional shape or object.

1 feet = 12 inches; hence:

2 ft 4 in = (2 ft * 12 in per ft) + 4 = 28 in

1 ft 10 in = (1 ft * 12 in per ft) + 10 = 22 in

The volume of tank = 28 in * 28 in * 22 in = 17248 in³

The volume if the fish tank purchased by Darren is 17248 in³

Find out more on volume at: https://brainly.com/question/1972490

The equation that passes through the points (8, 2) and (8, -4) as required in the task content is; x = 8.

As evident in the task content; the given points are; (8, 2) and (8,-4).

Since the points have the same x-coordinates, it follows that such a line is a vertical line in which case, it's slope is undefined.

And ultimately, the equation of the line in discuss is; x = 8 as the line is parallel to the y-axis.

Read more on equation of a vertical line;

https://brainly.com/question/9050446

#SPJ1

Given, the indicated variable is: ab - ac = 2, We have to solve the given equation for a. So the answer is a = 2/(b - c).

Let's do this: Factor out the a from the left-hand side of the equation.

Using the distributive property, we get: a(b - c) = 2

Now, we'll isolate a by dividing both sides by (b - c).

Thus, we get: a = 2/(b - c)

Therefore, the value of the variable a is 2 divided by the quantity of (b - c).

Let's have a look at the steps: ab - ac = 2

a(b - c) = 2

a = 2/(b - c). Hence, we have obtained the value of the variable a by solving the given equation.

For more questions on: indicated variable

https://brainly.com/question/1676226

#SPJ8