PLEASE HELP!!!! 50 POINTS!!!
Find the solution(s) of the following equation.
x^2 = 100/361
Choose all answers that apply:
a) x = -10/9
b) x = -1/6
c) x = 5/18
d) x = 5/9
e) none of the above
​

Answer:

The value  is  [tex]n = 384 [/tex]

The correct option is a

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =  0.05

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of   is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally since the sample proportion is not given we will assume it to be

      [tex]\^ p = 0.5[/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>   [tex]n = [\frac{ 1.96 }{0.05} ]^2 *0.5 (1 - 0.5) [/tex]

=>   [tex]n = 384 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

Generally if the level of confidence increases,  the critical value of  [tex]\frac{\alpha }{2}[/tex]  increase and from the equation for margin of error we see the the critical  value varies directly with the margin of error , hence the margin of error  will increase also  

So  If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.

Answer:

2/5

Step-by-step explanation:

8/20=2/5

Answer:

There is a value of [tex]c[/tex] in (-1, 1), [tex]c = 0.577[/tex].

Step-by-step explanation:

Let [tex]f(x) = x^{3}+2\cdot x[/tex] for [tex]x \in[-1,1][/tex], we need to prove that [tex]f(x)[/tex] is continuous and differentiable to apply the Mean Value Theorem. Given that [tex]f(x)[/tex] is a polynomical function, its domain comprises all real numbers and therefore, function is continuous.

If [tex]f(x)[/tex] is differentiable, then [tex]f'(x)[/tex] exists for all value of [tex]x[/tex]. By definition of derivative, we obtain the following expression:

[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{(x+h)^{3}+2\cdot (x+h)-x^{3}-2\cdot x}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{x^{3}+3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot x+2\cdot h-x^{3}-2\cdot x}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot h}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} 3\cdot x^{2}+ \lim_{h \to 0} 3\cdot x \cdot h+ \lim_{h \to 0} h^{2}+ \lim_{h \to 0} 2[/tex]

[tex]f'(x) = 3\cdot x^{2}+2[/tex] (Eq. 2)

The derivative of a cubic function is quadratic function, which is also a polynomic function. Hence, the function is differentiable at the given interval.

According to the Mean Value Theorem, the following relationship is fulfilled:

[tex]f'(c) = \frac{f(1)-f(-1)}{1-(-1)}[/tex] (Eq. 3)

If we know that [tex]f(-1) = -3[/tex], [tex]f(1) = 3[/tex] and [tex]f'(c) = 3\cdot c^{2}+2[/tex], then we expand the definition as follows:

[tex]3\cdot c^{2}+2 = 3[/tex]

[tex]3\cdot c^{2} = 1[/tex]

[tex]c = \sqrt{\frac{1}{3} }[/tex]

[tex]c \approx 0.577[/tex]

There is a value of [tex]c[/tex] in the interval (-1, 1), [tex]c = 0.577[/tex].

Answer:

The required integers are x=3 and y= -9

Step-by-step explanation:

Let one the integers be x and y

An integer is 15 more than 2 times another: x=15+2y

product of the two integers is -27: x*y=27

[tex]x=15+2y ---eq(1)\\x*y=-27----eq(2)[/tex]

Solving both equations to find values of x and y

Putting value of x from equation 1 in equation 2

[tex](15+2y)*y=-27\\15y+2y^2=-27\\Rearranging:\\2y^2+15y-27=0[/tex]

This can be solved using quadratic formula:

[tex]$y=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

Putting values and finding factors

[tex]$y=\frac{-(15)\pm\sqrt{(15)^2-4(2)(-27)}}{2(2)}$\\$y=\frac{-(15)\pm\sqrt{225+216}}{4}$\\$y=\frac{-(15)\pm\sqrt{441}}{4}$\\$y=\frac{-(15)\pm21}{4}$\\$y=\frac{-(15)+21}{4} \ or \ y=\frac{-(15)-21}{4}$\\$y=\frac{6}{4} \ or \ y=\frac{-36}{4}$\\$y=\frac{3}{2} \ or \ y=-9$[/tex]

Since y is integer so, we consider only y= -9

The value of x will be:

[tex]x*y=-27\\x*(-9)=-27\\x=\frac{-27}{-9} \\x=3[/tex]

So, the value of x is x=3

The required integers are x=3 and y= -9

Answer:

37 R0

Step-by-step explanation:

740/20=37, so there is no remainder.

I hope this helps you! Have a great day c:

Dividing 20 by 740 gives us remainder 20 and quotient 0.

To find the result of 20 divided by 740 with a remainder,

Perform the division and take note of the quotient and remainder.

20 ÷ 740 = 0 with a remainder of 20.

Division is a mathematical operation that involves splitting a number (the dividend) into equal parts,

with a divisor indicating how many parts we want to split it into.

The quotient is the number of equal parts, and the remainder is what's left after have split the dividend into as many equal parts as possible.

20 divided by 740, we are trying to find out how many times 740 can fit into 20.

Since 740 is much larger than 20, it cannot fit even once.

So, the quotient is 0, indicating that 0 whole units of 740 can fit into 20.

However, there is a remainder of 20.

The remainder represents the portion of 20 that cannot be evenly divided by 740.

It is what remains after we have divided the dividend by the divisor as many times as possible.

Therefore, 20 divided by 740 is 0 with a remainder of 20.

learn more about remainder here

brainly.com/question/29019179

#SPJ2

Answer:

5 units will be your width and 15 will be your length so it would look like side#1=5 side #2=15 side number3 is 5 and side number 4 is 15 assuming that side 1 and 3 are parallel.

Step-by-step explanation:

yes

Answer:

3/2

Step-by-step explanation:

Answer:

15.29 i think

Step-by-step explanation:

Answer:

B - 8

Step-by-step explanation:

Answer:

answer is letter b 8

Step-by-step explanation:

Answer:

2 only

Step-by-step explanation:

Only even PRIME number is 2.

Why do we need EVEN PRIME numbers?

Say we do 11*5 we get 55 but when we add one we get 56

Meaning: An odd number multiplied by an odd number plus an odd number equals EVEN number which isn't PRIME. 2 being the ONLY even prime is therefore the only number we can choose.

Answer:

45 is 125% of 36, and 36 is 80% of 45.

Step-by-step explanation:

Answer:

y= 1/5x + 0.8

Step-by-step explanation:

Hope this helps

Answer:

store C

Step-by-step explanation:

if you divide 7.56 by 7 it'll be $1.08 per candy bar.

Answer:

3.5 X 10^3

Step-by-step explanation:

Answer:

true, false, and false

Step-by-step explanation:

Answer:

-0.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

63%

Step-by-step explanation:

37% did not solve problem 2

100% - 37% = 63%

Answer:

Answer is C

Step-by-step explanation:

There is not enough samples.

Answer:

 Yes, the variation of the sample means is small.

Step-by-step explanation:

Answer:

So when u do (-4)-(-6) it equals 2.

But when u do (-7)*(-8) it equals 56

Therefore saying that (-7)*(-8)=56 is the greatest product.

Step-by-step explanation:

Answer:

$0.99

Unit rate is cost for 1 individual (song)

Step-by-step explanation:

$3.96/4

0.99

99 cents

Answer:

[tex]\boxed {n = 26}[/tex]

Step-by-step explanation:

Solve for [tex]n[/tex]:

[tex]-413.4 = -15.9n[/tex]

-Switch sides:

[tex]-15.9n = -413.4[/tex]

-Divide both sides by [tex]15.9[/tex] and expand by multiplying both numerator and denominator by [tex]10[/tex]:

[tex]\frac{-15.9n}{-15.9} = \frac{-413.4}{-15.9}[/tex]

[tex]n = \frac{-4134}{-159}[/tex]

-Divide [tex]-4134[/tex] and [tex]-159[/tex]:

[tex]n = \frac{-4134}{-159}[/tex]

[tex]\boxed {n = 26}[/tex]

Therefore, the value of [tex]n[/tex] is [tex]26[/tex].

Answer:

e

Step-by-step explanation:

s

Answer:

2+2=4

Step-by-step explanation:

lol tell me the subject and ill research and give u n answer

Answer:

1.53

Step-by-step explanation:

1

36

(

85

)

+

(

35

36

)

(

−

4

)

=

E

V

85

36

−

140

36

=

E

V

−

55

36

=

E

V

E

V

≈

−

$

1.53

Answer:

ans=10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10(4-7) /   -(4 - 1)

10(-3)  /    -(3)

-30    /    -3 =

10

Answer:771-71/2= 350 hamburgers and 350 +71 cheeseburgers

Step-by-step explanation:

Answer:

X-intercept: -10

Y-intercept: -45

(-10),(-45)

Step-by-step explanation:

Hop this helped, Have a Wonderful Day!!

Answer:

b

Step-by-step explanation:

I think it is B because x+x is two x's so it would be 2x. I hope this helped have a good day