You are told that in a sample of size 225 the mean is 48.5 and the standard deviation is 1.8. the study is reported with 90% confidence level. explain how to determine if 48.8 is within the confidence interval.

Answer:

y intercept = 3

Step-by-step explanation:

y = 1/3x + 3

y = mx + b

where b represents the y intercept

y intercept = 3

Answer:

$20

Step-by-step explanation:

49 is the outlier

Measure of ∠JLM = m∠60°

Answer:

a

Step-by-step explanation:

f(x)-g(x)=2x square-3x+6-(3x square +4x-8)

2x square-3x+6-3x square-4x+8

-x square-7x+14

Answer:

  16.6°

Step-by-step explanation:

The triangle can be solved using the Law of Cosines to find the side opposite the given angle, then the Law of Sines to find the missing angle from the given sides.

__

We choose to use a=10, b=4, C=29°.

  c² = a² +b² -2ab·cos(C) . . . . . law of cosines

  c² = 10² +4² -2·10·4·cos(29°) ≈ 46.0304

  c ≈ √46.0304 ≈ 6.78457

Then angle B (opposite side b) is ...

  sin(B)/b = sin(C)/c . . . . . . . . . law of sines

  sin(B)/4 = sin(29°)/6.78457

  B = arcsin(4/6.78457×sin(29°)) ≈ 16.6085°

The missing acute angle is about 16.6°.

Answer:

8. 3/10

9. 1/7

10. a

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Firstly the coin will have a probability of getting 1/2 for tails and also 1/2 for heads since it is fair.

A cube has 6 sides hence will have numbers 1-6 on each side. Numbers greater than 4 on a cube will be 5,6 and both of them have a 1/6 chance of getting drawn therefore in total it is a 2/6 chance.

Probability of getting tails is 1/2 and probability of getting number greater than 4 is 2/6.

Hence the total probability will be 1/2 x 2/6 = 1/6

Answer: 10:58 a.m.

Step-by-step explanation:

To solve this problem, find how many hours will pass in the given timeframe. From this Monday to next Monday, a week will pass. A week is equal to 7 days. A day has 24 hours, so multiply 7 days by 24 hours. 7*24 = 168 hours.

Since the watch gains 10 seconds every hour, multiply 168 hours by 10 seconds. This means your watch will gain 1680 seconds over the week.

To find what time the watch will be at, first find how many minutes will pass. There are 60 seconds in a minute, so divide 1680 seconds by 60 seconds. 1680/60 = 28.

Add 28 minutes to 10:30 a.m. to get a final time of 10:58 a.m.

Answer:

C is 17.

Use Pythagorean theorem to find c (hypotenuse)

[We can use this theorem because it is a right triangle]

a^2 + b^2 = c^2

8^2 + 15^2 = c^2

c^2 = 289

c = sqrt(289) = 17

Answer: c = 17 cm

Step-by-step explanation:

     Since this is a right triangle, we will use the Pythagorean theorem to solve. The a and b variables are legs, the c variable is the hypotenuse. Here, we are solving for the hypotenuse.

a² + b² = c²

8² + 15² = c²

64 + 225 = c²

64 + 225 = c²

289 = c²

c = [tex]\sqrt{289}[/tex]

c = 17

           Side c has a length of 17 cm.

The correct roots of this equation is:

x = 10

y = 6

– This equation is a value substitution system. To solve it, we will: add the terms equal to x, with the sums of the equality.

2x + y = 26

x - y = 4

2x + x = 26 + 4

3x = 30

x = 30/3

x = 10

– Now, let's "take" the first equation of the system, and we'll calculate it, replacing x with its value.

2x + y = 26

2 . 10 + y = 26

20 + y = 26

y = 26 - 20

y = 6

Therefore, the roots of this equation or system is:

x = 10

y = 6

Answer:

98 = 2x + 2(22)

Step-by-step explanation:

Let x be the length of the room. Using P = 21 + 2w or the formula for the perimeter of a rectangle, with the perimeter equal to 98 and the width equal to 22, then

98 = 2x + 2(22)

Answer:

4/10

Step-by-step explanation:

26.4

Answer:

S8nce N is inthe center NL is one half of KM

Answer:

0.50

Step-by-step explanation:

The mean = 3 + 5 + 6+ 3 +2+ 2+ 1+0+ 0+ 4+ 7+ 4+ 5 + 5 + 6) / 15

= 53/15

= 3.533

Difference of values from the mean:

n     n - 3.533  (Absolute value)

3         0.533

3         0.533

6         2.467

3         0.533

2          1.533

2          1.533

1           2.533

0          3.533

0          3.533

4           0.467

4           0.467

5            1.467

5            1.467

6            2.567

7             3.467

Totals:  

53         26.533

So the M.A.D. = 26.533 / 53 =  0.50  

Answer:

  (b)  16^(3/2)

Step-by-step explanation:

Your calculator is a good source of information about the values of numerical expressions.

__

Here, all of the expressions have a value of 16 except 16^(3/2). That has the greatest value.

_____

Additional comment

Assuming you're familiar with powers of 2 and the rules of exponents, you can evaluate these without a calculator:

  ∛(64²) = ∛(2^6)² = (2^12)^(1/3) = 2^4

  16^(3/2) = (2^4)^(3/2) = 2^6 . . . . . has the greatest value

  √(16²) = ((2^4)^2)^(1/2) = 2^(4·2/2) = 2^4

  ∛(8^4) = ((2^3)^4)^(1/3) = 2^(3·4/3) = 2^4

__

8= 2^3; 16 = 2^4; 64 = 2^6

(a^b)^c = a^(bc)

A root is equivalent to a fractional power. The cube root is the 1/3 power, for example.

Answer:

I guess 25%..

Step-by-step explanation:

Solution,

Here,

Amount of decrease= $180 - $135

= $45

Now,

Percent of decreasement = $45/$180 × 100%

= 25%

The price of the service before the tip will be equal to $35.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The total price of the service will be calculated as:-

20%   =   $7

10%   =    7/2

100%  =   10 x 7/2

100%    =   $35

Therefore the price of the service before the tip will be equal to $35.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ1

Answer to 1:

[tex]\frac{x^3}{2y^25}[/tex]

First thing you want to do is combine like terms on the bottom. Since it's multiplication, all you have to do is add the exponents. So for x you'd get x raised to the -9 power and for y you'd get 2y raised to the power of 7

Second thing is the numerator of the fraction. Since this is raising what is inside the paranthesis to a power, you must multiply this power by the powers of x and y, respectively. You should get x raised to the power of -6 and y raised to the power of -18

Here's where it gets complicated. to rationalize the problem, you must add parts from the numerator and denominator or vice versa. You cannot have any negative exponents anywhere in the fraction.  So that means for x you have to add 9 to the x on the top to cancel out the -6 and rationalize the remaining x's. You should end up with x^3.

For y, you work the opposite way. Since the negatives are only on the top, you simply add 18 to the bottom y's and it remains rationalized.

If done correctly this should come out to x^3/2y^25

Answer to 2:

(x^20y^12)/256

First thing you can do on this one is to cancel out the x^0s. Anything to the power of 0 equals one so only the coefficients will remain. Multiply those together and you'll get 4.

Next you will rationalize the ys. Add the bottom 3 to the top to cancel out the denominator and you're left with y^-3. Leave it like this for now.

Now is the difficult part. You must take everything that is inside the parenthesis to the power of -4. That includes the coefficients and the exponents. 4^-4 = 1/256. This means that you now must move the coefficients to the bottom. You should currently have y^-3/(256x^5).

Now take the exponents to the power using the same rules as question 1. -3*-4 = 12 and 5*-4 = -20. You should now have y^12/(256x^-20)

Lastly, we must rationalize the denominator. To do so, move the x^-20 to the numerator and make the exponent positive. After doing this, you have the answer: (x^20y^12)/256

Answer:

Step-by-step explanation:

a) International: Three hundred twelve thousand six hundred ninety five
   Pakistani: Three lakh twelve thousand six hundred ninety five

b) International: Five Million four hundred sixty nine seven hundred twenty four

   Pakistani: Fifty Four crore sixty nine thousand seven hundred twenty four

c) International: Four Million three thousand two hundred forty

   Pakistani: Fourty Lakh three thousand two hundred forty

Hope it Helps! Mark its as brainiest

Answer:

qa no.4 do cross muntiply

Answer:

(3w + 7)² or (3w + 7)(3w + 7)

Step-by-step explanation:

Identity

Solving

Answer:

41/100.

Step-by-step explanation:

Per cent (%)  means 'per hundred'.

as a fraction: 41/100.

As a decimal it is 0.41.

Answer:

The product of the functions f(x) = x2 and g(x) = x - 8 is f(x).

[tex]0.10 = 10^{-1}\\\\0.07 = 7 \times 10^{-2}[/tex]

Answer:

Exponential

Step-by-step explanation:

Linear

Quadratic

Answer:

  (c)  Exponential

Step-by-step explanation:

The independent variable in the equation is in the exponent, so this is an exponential equation.

__

Additional comment

Linear and quadratic equations are specific cases of polynomial equations, which involve sums of powers of the variables. The highest power involved is the degree of the equation: 1 for linear, 2 for quadratic.

  f(x) = x +2 . . . . has x to degree 1, so is a linear equation

  f(x) = 3x^2 -5 . . . . has x to degree 2, so is a quadratic equation

  f(x) = √(x -6) . . . . is "none of these"

(This is another vocabulary question. Linear, quadratic, exponential, degree, term, polynomial, ... are all words with specific definitions related to algebraic functions.)

Answer:

Option 2

Step-by-step explanation:

Let the original graph be f(x) and new graph g(x).

The transformations are :

Answer:

y= -x to the power of 2

so the answer is the first one!

Hope this helps!!