A track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters. The population mean is 62.95 inches with a standard deviation of 5.65 inches.


What is the standard error of the sample mean? Round your answer to the nearest hundredth.


The standard error of the sample mean is approximately ______.

Answer:

the answer is 13

Step-by-step explanation:

i did PEMDAS

Answer:

13

Step-by-step explanation:

11+2*2-2

2*2=4

4+11=15

15-2=13

13 is the answer

if the exponent was 5 you would put 2*2*2*2*2.

Answer:

A. 21/40

B. 8/12 or 2/3

Step-by-step explanation:

Answer:

x = 20° and y = 12°

Step-by-step explanation:

3y + 15° = 5y - 9° ( being opposite angles of parallelogram)

5y - 3y = 15° + 9°

2y = 24°

y = 24° / 2

y = 12°

Now

5x + 29° = 7x - 11° ( being opposite angles of parallelogram)

7x - 5x = 29° + 11°

2x = 40°

x = 40° / 2

x = 20°

Hope it will help :)❤

Answer:

its D

Step-by-step explanation:

got it right on edge

Answer:

d

Step-by-step explanation:

edge 2021

Step-by-step explanation:

[tex]\huge{\underbrace{\overbrace{\mathfrak{\pink{Answer:}}}}}[/tex]

The binomial theorem states that for some a,b∈R and some k ∈Z+ ,

(a+b)k=∑n=0k(kn)ak−nbn.

The binomial series allows us to use the binomial theorem for instances when k is not a positive integer. The binomial series applies to a given function f(x)=(1+x)k for any k∈R with the condition that |x|<1 . It is stated as follows:

(1+x)k=∑n=0∞(kn)xn .

Note that the binomial theorem produces a finite sum and the binomial series produces an infinite sum.

The binomial series enables us to apply the binomial theorem when k is not a positive integer.

The binomial theorem (or binomial expansion) in elementary algebra describes the algebraic expansion of binomial powers.

The binomial theorem states that for some a,b∈R and some k ∈Z+ ,

(a+b)k=∑n=0k(kn)ak−nbn.

The binomial series allows us to use the binomial theorem for instances when k is not a positive integer. The binomial series applies to a given function f(x)=(1+x)k for any k∈R with the condition that |x|<1 . It is stated as follows:

(1+x)k=∑n=0∞(kn)xn.

Hence, when k is not a positive integer, we can use the binomial series to apply the binomial theorem.

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Answer:

A and C

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

Hey there!

All you have to do is DISTRIBUTE

Here’s the formula:

a(b + c) = a(b) + a(c) = ab + ac

NOW LETS SOLVE FOR YOUR QUESTION

• 3a(a – 4b)

• 3a(a) + 3a(4b)

• 3a(a) = 3a² ⬅️ FRONT number

• 3a(4b) = 12ab ⬅️ BACK number

• Answer: 3a² + 12ab ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

Step-by-step explanation:

13d + 8 = -1

subtract 8 from both sides

13d = -9

d = -9/13

either keep it in fraction form or if you divide it out it is -0.6923

Answer and Step-by-step explanation:

(a) Given that x and y is even, we want to prove that xy is also even.

For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.

(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:

Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.

(c) Given that x is odd we want to prove that 3x is also odd. Firstly, we've proven above that xy is odd if x and y are odd. 3 is an odd number and we are told that x is odd. Therefore it follows from the second proof that 3x is also odd.

Given:

Sample mean = 65.4

Standard deviation = 1.2

Sample size = 45

Confidence level = 99%

To find:

The confidence interval.

Solution:

The formula for confidence interval is

[tex]CI=\overline{x}\pm z^*\dfrac{s}{\sqrt{n}}[/tex]

where, [tex]\overline{x}[/tex] is sample mean, z* is confidence value, s is standard deviation and n is sample size.

Confidence value or z-value at 99% = 2.58

Putting the given in the above formula, we get

[tex]CI=65.4\pm 2.58\times \dfrac{1.2}{\sqrt{45}}[/tex]

[tex]CI=65.4\pm 0.46[/tex]

[tex]CI=65.4-0.46\text{ and }CI=65.4+0.46[/tex]

[tex]CI=64.94\text{ and }65.86[/tex]

Therefore, the correct option is D.

Answer:

the answer is, 64.94 and 65.86

Step-by-step explanation:

Answer:

3/5 are 6/10, 9/15 and 12/20.

Step-by-step explanation:

Answer:

green

Step-by-step explanation:

11a^3−4a^2−14a−7

Answer:

11a³-4a²-14a-7

(The light blue/green one)

Step-by-step explanation:

We'll need to combine like terms (terms with the same variables and exponents)

(4a³-8a-4a²)+(7a³-7-6a)

add/subtract

we'll keep -4a² and -7 as is as there aren't any other terms like them

11a³-14a-4a²-7

put into standard form:

11a²-4a²-14a-7

(The light blue/Green one)

Hope this helps!

You would use d) power of a power because:

(Answer:

Which law would you use to simplify the expression (x^4)^9 ?

A)product of powers

B)power of a product

C)power of a quotient

D)power of a power

Step-by-step explanation:

x^4)^9

= (x^(4*(9))

= x^36

hope this helps

The law used to simplify the given expression (x⁴)⁹ is D) Power of a power law.

Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.

Given expression is (x⁴)⁹.

Power of a power rule is the rule of the exponents which states that if a number in the base is raised to some power, which is again raised to another power, then both the powers will get multiplied leaving the base as same.

We can use this rule here, since the base x is raised to 4, which is again raised to 9.

Using the rule,

(x⁴)⁹ = (x)⁽⁴⁾⁽⁹⁾ = x³⁶

Hence the rule used is power of a power rule.

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Your question is incomplete. The complete question is as given below.

Which law would you use to simplify the expression (x⁴)⁹ ?

A)product of powers

B)power of a product

C)power of a quotient

D)power of a power

Answer:

The slope is 3

Hence the x-coordinate of the x- intercept is 2

Hence the y-coordinate of the y- intercept is -6

Step-by-step explanation:

We are to first write the statement  six less than triple some quantity as an expression:

let the quantity be x

Triple the quantity to have 3x

six less than triple some quantity will be expressed 3x - 6

The required function is f(x) = 3x - 6

This is in standard form of equation of a line y = mx+c

m is the slope

c is the y-intercept

Comparing 3x - 6 with mx+c

3x = mx

3 = m

m = 3

The slope is 3

x intercept occurs at when f(x) = 0

Substitute into f(x) = 3x-6

0 = 3x-6

-3x = -6

x = 2

Hence the x-coordinate of the x- intercept is 2

y intercept occurs at when x = 0

Substitute into f(x) = 3x-6

f(x) = 3(0)-6

f(x) = -6

Hence the y-coordinate of the y- intercept is -6

Answer:

h = 12t

Step-by-step explanation:

Its given that x = 3t.

Also its given that h = 4x

Substituting the value of x gives =

h = 4(3t) = 4 × 3t = 12t

Answer:

Order of operations was not used correctly, Do what is inside the parenthesis first. So use the distributive property first and not subtraction.

Step-by-step explanation:

6-4(3-6x)+12x

Step-by-step explanation:

❁ [tex] \underline{ \underline{ \text{Given} }}: [/tex]

❁ [tex] \underline{ \underline{ \text{ \: To \: find}}}: [/tex]

✑ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]

[tex] \boxed{ \underline{ \sf{Momentum \: = \: mass \: \times \: velocity}}}[/tex]

plug the known values :

⟹ [tex] \sf{Momentum = 4.0 \: kg \: \times \: 2.0 \:m/s } [/tex]

⟹ [tex] \sf{Momentum = 8 \: kg \: m/s}[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : \bold{ \underline{8} }\: kg*m/s}}}}[/tex]

⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆

✑ [tex] \underline{ \underline{ \text{Learn \: more about \: momentum}}}: [/tex]

Imagine that a car and a truck both have the same speed on the road. Which one can stop easily ? Of course , it is hard to stop the truck relative to the car. The reason is that the car and the truck have the same speed bit different masses. Thus , we can say that to stop a heavier body is harder than to stop a lighter one even both of them have the same speed.

If two tennis balls are hit towards you in different velocities , it is not equally easier to stop them. The ball in more velocity is difficult to stop relatively. Thus , we can say that to stop a body in more velocity is harder than to stop a body with less velocity , eventhough they have the same speed.

The physical quantity that describes the quantity of motion of a body is called momentum. The momentum of a moving body or linear momentum is defined as the product of mass & velocity of a moving body.

Mathematically ,

Momentum = mass × velocity

i.e p = m × v

The SI unit of momentum is kg • m/s. Since velocity is a vector quantity and multiplied with mass ( scalar quantity) , momentum becomes a vector quantity. Direction of momentum is the same as velocity.

Hope I helped ! ♡

Have a wonderful day / night ツ

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Answer:

Step-by-step explanation:

3/5 is equivalent with 12/20, 30/50

3*4=12,   3*10=30

5*4=20,   5*10=50

Answer:

29,028.87

Step-by-step explanation:

Just add 8,707.37 and the height of Mt. McKinley.

Answer:

d. 6

Step-by-step explanation:

Answer:

D: 6

Step-by-step explanation:

The Main Rules Are:

1) A negative number times a negative number is a positive number.

2) A positive number times a positive number is a positive number.

3) A negative number times a positive number is a negative number.

This problem is read as negative 1 times negative 6. Any negative symbol in front of a parentheses would be read as negative 1. In other words, the problem reads -1(-6). Remember, a negative number times a negative number is a positive number. Multiplying negatives is no different than multiplying numbers greater than zero, you just change the sign of the answer. Lets read this as 1 times 6 which is 6. Therefore, -1 times -6 is 6.  

Hope that helped, as well as explained the concept :)  

Answer:

17 tkrnfuebdkrheejshdhfd

Answer:

6 slices per cake

Step-by-step explanation:

you have 2 cakes and they have 12 total slices which means each cake has 6 slices

Answer:

119000000+3

0.119000003*10^9

there is no solution here. i checked, trust me.

The System of Equation have No Solution.

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. LHS = RHS is a common mathematical formula.

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:

6x - 12y = 15................(1)

2x - 4y = 6...........(2)

Now, Multiply equation (2) by 3 we get

6x - 12y = 15

6x - 12y = 18

____________

           0 = -3

also, 6/2 = -12/ (-4) ≠ 15/6 which is parallel lines.

So, the equation have No solution.

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