What is the value of s?

Using the z-distribution, as we have the standard deviation for the population, it is found that the 99.7% confidence interval is given by:

[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

99.7% confidence level, hence[tex]\alpha = 0.997[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.997}{2} = 0.9985[/tex], so [tex]z = 3[/tex].

The other parameters are:

[tex]\mu = 112.5, \sigma = 37.5, n = 96[/tex]

Hence, the interval is:

[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]

To learn more about the z-distribution, you can check https://brainly.com/question/25890103

9514 1404 393

Answer:

  A. 3+ (-4) = -1

Step-by-step explanation:

The arrow indicates a subtraction of 4, or an addition of -4. The only equation containing such a subtraction or addition is choice A.

Answer:

1/4x = 15/16

Step-by-step explanation:

1/4x = 15/16

Answer:

Let two consecutive multiples of 3 be x and (x+3)

A/q,

x * (x+3) = 648

➡ x² + 3x = 648

➡ x² + 3x -648 = 0

➡ x² + 27x - 24x -648 = 0

➡ x ( x + 27 ) -24 ( x +27)

➡ ( x - 24) ( x + 27)

➡ x = 24 and x = -27

so, we take x = 24.

Required multiples of 3

➡ x = 24

➡ x +3 = 24+3 = 27.

Answer:

The three consecutive multiples are 210, 216, 222

Step-by-step explanation:

3 consecutive multiples of 6 be : 6n , 6n + 6 , 6n + 12

Given sum of these 3 numbers is = 648

That is ,

            6n + 6n + 6 + 6n + 12 = 648

           18 n + 18 = 648

            18n = 648 - 18

             18 n = 630

                n = 35

Therefore the three consecutive multiples are :

6 x 35 , 6 x 35 + 6,  6 x 35 + 12

210 , 210 + 6 , 210 + 12

 210 , 216, 222

Answer:

x < 1

Step-by-step explanation:

2(x-7)<-12

Divide by 2

2(x-7)/2<-12/2

x-7 < -6

Add 7 to each side

x-7+7 < -6+7

x < 1

Answer:

easy bro go and use m-a-t-h w-a-y

Step-by-step explanation:

it's going to help

Answer:

The answer is D. 3

Answer:

The probability that he chooses trees of two different types is 30%.

Step-by-step explanation:

Given that a landscaper is selecting two trees to plant, and he has five to choose from, of which three of the five are deciduous and two are evergreen, to determine what is the probability that he chooses trees of two different types must be performed the following calculation:

3/5 x 2/4 = 0.3

2/5 x 3/4 = 0.3

Therefore, the probability that he chooses trees of two different types is 30%.

Answer:

Actually the right answer is 60%! Not 30 %!  (つД｀)･ﾟ･

Step-by-step explanation:

Answer:

Pic1 answers:

P(blue) = 4/26,

P(yellow or green) = 14/26

P(purple) = 0.0%

P(red or green) = 18/26

P(not pink) = 26/26

P(not blue) = 22/26

Pic2 answers:

P(u) = 1/12

P(Vowel) = 6/12

P(a,b,c,d,e) = 4/12

P(Not A) = 10/12

P(vowel or consonant) = 12/12

P(not an m,s,t) = 9/12

Answer:

A ≈ 132.73 m²

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Area of a Circle Formula: A = πr²

Step-by-step explanation:

Step 1: Define

Identify variables

r = 6.5 m

Step 2: Find Area

Answer:

[tex] {6}^{ - 3} \\ = \frac{1}{ {6}^{3} } \\ = \frac{1}{216} [/tex]

Answer:

1/6^3

Step-by-step explanation:

6^-3

1/6^3

Note if any base has it's power negative then just do its reciprocal the exponent will be positive.

For example:

5^-y

1/5^y

Answer:

x = -3 ; y = -6

Step-by-step explanation:

x = y + 3

-2x + 4y = -18

-2(y+3) + 4y = -18

-2y -6 + 4y = -18

2y = -12

y = -6

x = -6+3

x = -3

Answer:

x = -3    y = -6

Step-by-step explanation:

x = y + 3

x - 3 = y

-2x + 4(x - 3) = -18

-2x + 4x - 12 = -18

2x = -6

x = -3

x = y + 3

-3 = y + 3

-6 = y

Answer:

Step-by-step explanation:

The solution is 4 laps

The number of laps ran by Levi is given by the equation w = 4 laps

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of laps ran by Levi be represented as w

Now , the equation will be

The total length of a lap = 400 m

The total length ran by Levi = 1600 m

So ,

The number of laps w ran by Levi = total length ran by Levi / total length of a lap

Substituting the values in the equation , we get

The number of laps ran by Levi w = 1600 / 400

On simplifying the equation , we get

The number of laps ran by Levi w = 4 laps

Therefore , the value of w is 4 laps

Hence , the number of laps is 4 laps

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

y -y1=y2-y1/x2-x1(x-x1)

Answer:

slope is 3/7

Step-by-step explanation:

use the formula y2 - y1 / x2 - x1

Answer:

Becky's age is equal to 20.

Step-by-step explanation:

The given expression is :

(7+11)-(8÷2)

Using Bodmas rule to solve it furthur,

(18)-4 = 14

According to the given condition, let the age is A.

The value is 6 less than her age,

14 = A-6

or

14+6 = A

A = 20

Hence, Becky's age is equal to 20.

Answer:

= X(5x+3)-4(5x+3)

= 5x²+ 3x- 20x-12

= 5x²-17x-12

Answer:

5x(squared)-17x-20

Step-by-step explanation:

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Take the 1st equation & solve it :-

[tex]3x - 1 = 7 \\ 3x = 7 + 1 \\ 3x = 8[/tex]

Now, take the second equation :-

[tex]3x = 8[/tex]

[You can't further solve this equation]

So, from the 2 solved equations we can see that,

[tex]\large\bold{3x = 8 \ is \ equivalent \ (=) \ 3x = 8 }[/tex]

✐ The answer will be ⇻ Yes, 3x – 1= 7 and 3x = 8 are equivalent to each other.

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer: It will have a minimum.

Answer:

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

Step-by-step explanation:

Use the formula for the mean: sum of elements / number of elements

Let x represent her first exam score.

Her second exam score can be represented by x + 11, since it was 11 points better than her first.

Her third exam score can be represented by (x + 11) + 5, since it was 5 points better than her second.

Plug in all of these expressions into the mean formula. Plug in 87 as the mean, and plug in 3 as the number of elements (since there are 3 scores):

mean = sum of elements / number of elements

87 =  ( (x) + (x + 11) + (x + 11) + 5 ) / 3

Add like terms and solve for x:

87 = (3x + 27) / 3

261 = 3x + 27

234 = 3x

78 = x

So, her first score was a 78.

Find her second score by adding 11 to this:

78 + 11 = 89

Find her third score by adding 5 to the second score:

89 + 5 = 94

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

(-4×-6) =-24÷6=4

24÷4=6. x=4. x=6

Given the system of equations below:

[tex] \large{ \begin{cases} y = 2x + 1 \\ - 4x + 2y = 2 \end{cases}}[/tex]

The first equation is y-isolated so we can substitute in the second equation.

[tex] \large{ - 4x + 2(2x + 1) = 2}[/tex]

Use the distribution property to expand in and simplify.

[tex] \large{ - 4x + 4x + 2 = 2} \\ \large{0 + 2 = 2 \longrightarrow 2 = 2}[/tex]

The another method is to divide the second equation by 2.

[tex] \large{ \frac{ - 4x}{2} + \frac{2y}{2} = \frac{2}{2} } \\ \large{ - 2x + y = 1}[/tex]

Arrange in the form of y = mx+b.

[tex] \large{y = 1 + 2x \longrightarrow y = 2x + 1}[/tex]

When we finally arrange, compare the equation to the first equation. Both equations are the same which mean that both graphs are also same and intersect each others infinitely.

For more information, when the both sides are equal for equation - the answer would be infinitely many. If both sides aren't equal (0 = 4 for example) - the answer would be none. If the equation can be solved for a variable then it'd be one solution.

Answer

Hope this helps. Let me know if you have any doubts!

Answer:

[tex]6\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{216}[/tex]

factorise 216

[tex]\sqrt{2*2*2*3*3*3}[/tex]

since it is square root (meaning it has index to) pair up the number

[tex]2*3\sqrt{2*3[/tex]

[tex]6\sqrt{6}[/tex]

Answer:

I dont know what graph it requires to because u didnt show any graphs :)).....is there anything else I could help u with?

Step-by-step explanation:

Answer:

y= -x+1/2

Step-by-step explanation: