If Brenda has 10 math problems to solve and she can solve one math problem per minute how long will it take her to solve all 10 problems

Answer:

Yes

Step-by-step explanation:

The central limit theorem says that If a random variable X from a population has mean u and finite variance σ² , then the sampling distribution of the sample mean X~ approaches a normal distribution with mean u and variance σ²/n as the sample size n approaches infinity.

It is interesting to note that we have neither assumed that the distribution of X is continuous nor we have said anything about the shape of the distribution , whereas the limiting distribution of X is continuous and normal. Thus the distribution of the sample means  regardless of the shape of the population having a finite variance , is approximately normal with mean u and variance σ²/n .

Therefore

(standard deviation/ √sample size)²= variance / n

2/ √20

= 2/4.472

=0.44721

The sampling distribution of X` is therefore approximately normal with mean ux=u and σx =σ/n

Yes, we estimate the standard deviation of the sampling distribution of means by using σ divided by the square root of n and this can be determined by finding the mean and standard deviation for the distribution of the sample means.

Given :

The mean for the distribution of the sample means is given by:

[tex]\mu_x = \mu[/tex]

[tex]\mu_x = 6.7[/tex]

The standard deviation for the distribution of the sample means is given by:

[tex]\rm \sigma_x = \dfrac{\sigma}{\sqrt{n} }[/tex]

[tex]\sigma_x = \dfrac{2}{\sqrt{20} }[/tex]

[tex]\sigma_x = 0.44721[/tex]

Yes, we estimate the standard deviation of the sampling distribution of means by using σ divided by the square root of n.

For more information, refer to the link given below:

https://brainly.com/question/17716064

Answer:

24

Step-by-step explanation:

60 x 0.4 = 24 players

Answer:

54 one-third acre lots

Step-by-step explanation:

24 - 6 = 18

18 ÷ 1/3  =  18 × 3 = 54

Answer: 54

Step-by-step explanation:The remaining portion to be divided into 1/3 acre lots is the difference between the number of acres owned by the farmer and the number of arces used for the entrance. This difference is

= 24 arces - 6 arces

= 18 acres

These acres is to be divided into 1/3 arce then the number of 1/3 arce loits that will be available

= 18 ÷ 1/3

= 18 × 3/1

= 54

both angles are the same ! so

20x + 60 = 30x + 20

10x = 40

x = 4

and then substitute x back in

20(4) + 60 = 140

i think this is right >__<

Answer:

a) 6 + 3p

Step-by-step explanation:

Use distributive property: a*(b + c) = a*b + a*c

3(p + 2) = 3*p+ 3*2

             = 3p + 6

Answer:

b. 3p + 2

Step-by-step explanation:

Answer:

75 student tickets and 525 adult tickets

Step-by-step explanation:

Answer:

The answer is B.1

Answer:

25x

Step-by-step explanation:

Answer:

You cant find the value of x but here is the simplified version :

x+25

Answer:

1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assuming this pizza has 8 slices, which is about average solve this problem using division.

Eight slices divided by three friends

8/3

If rounding to whole slices, each friend could have two pieces. If not, each friend could have 2.667 pieces.

Answer: 0.2273

Step-by-step explanation:

Probability density function for uniform distribution is given by :-

[tex]f(x)=\dfrac{1}{b-a}[/tex], where x is uniformly distributed in [a,b].

Let x denotes the waiting time for this bus.

Given : The waiting time for a bus has a uniform distribution between 2 and 13 minutes.

Probability distribution function of x for interval [2,13] will be :-

[tex]f(x)=\dfrac1{13-2}=\dfrac{1}{11}[/tex]

Required probability : P(x<4.5) = [tex]\int^{4.5}_{2}f(x)\ dx[/tex]

[tex]=\int^{4.5}_{2}\dfrac1{11}\ dx\\\\=\dfrac1{11}[x]^{4.5}_{2}\\\\ = \dfrac1{11}(4.5-2)\\\\=\dfrac1{11}(2.5)\approx0.2273[/tex]

Hence, the probability that the waiting time for this bus is less than 4.5 minutes on a given day = 0.2273

Answer:

I believe your answer is 15.14 liters

Answer: 28269

Step-by-step explanation:

I used a calculator, but Callie messed up when instead of writing 120 (3*4), it should've been 1200 because u add a 0 every time you go down.

Hope this helps :)

Answer:

Step-by-step explanation:

3.2

Answer:

f(x) = x³ + 8x² + 5x - 14

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Zeros x = 1, -2, -7

Step 2: Find Polynomial

Answer:

I believe it's irrational, Integer, and Whole Number

Note: I'm a bit rusty lol

Hope this helps you out! Have a great rest of your day! :)

Answer:

I think B and C

Step-by-step explanation:

Sorry if I got rong but..

hopes it helps

Answer:

4

Step-by-step explanation:

40/10=4

Answer: 4

Step-by-step explanation:

40/10=4

Answer:

The correct answer is X=5

I'm 10000000000% sure

Answer:

x = 5

Step-by-step explanation:

First, to get rid of the fraction, multiply both sides of the equation by x.

— (14.8/x + 2.4) * x = 5.36 * x

— 14.8 + 2.4x = 5.36x

Next, subtract 2.4x from both sides of the equation.

— 14.8 + 2.4x - 2.4x = 5.36x - 2.4x

— 14.8 = 2.96x

Now, divide both sides of the equation by 2.96.

— 14.8/2.96 = 2.96x/2.96

— 5 = x

Answer:

[tex]-15x^5y^7[/tex]

Step-by-step explanation:

Given

[tex](-3xy^3)(5x^4y^4)[/tex]

Required

Express as [tex]Ax^my^n[/tex]

[tex](-3xy^3)(5x^4y^4)[/tex]

Expand each factor in both brackets

[tex](-3 * x * y^3) (5 * x^4 * y^4)[/tex]

Remove brackets

[tex]-3 * x * y^3*5 * x^4 * y^4[/tex]

Bring like factors together

[tex]-3 *5* x * x^4* y^3 * y^4[/tex]

[tex]-15* x * x^4* y^3 * y^4[/tex]

Apply law of indices

[tex]-15* x^{1+4}* y^{3+4[/tex]

[tex]-15* x^5* y^7[/tex]

[tex]-15x^5y^7[/tex]

Done

The expression equivalent to (-3xy^3)(5x^4y^4) in the form Ax^my^n [tex]\mathbf{=-15x^{5} y^{7}}[/tex]

Indices are algebraic expressions usually raised to a power of a given number or term.

Given that:

To express the given indices in terms of Ax^my^n, we need to open the two brackets and multiply the corresponding variables carrying the same terms.

i.e.

[tex]\mathbf{=(-3xy^3)(5x^4y^4) }[/tex]

[tex]\mathbf{=((-3\times 5)x^{1 +4}) ( y)^{3+4}}[/tex]

[tex]\mathbf{=-15x^{5} y^{7}}[/tex]

Learn more about indices here:

https://brainly.com/question/20411226

Answer:

3/25 remaining cupcakes

Step-by-step explanation:

Answer:

its root 58 ,h=√psquare + b square =√7square+3square=root58

Answer:

97.5% of American women have shoe sized less than 11.19

Step-by-step explanation:

Here, we want to use the empirical rule to find the percentage of women with shoe sizes less than 11.19

The first thing we shall do here is to find the z-score

Mathematically, that will be calculated using the formula;

z = (x-mean)/SD

z = (11.19-8.15)/1.52

z = 2

We can see that the given value is 2 standard deviation away to the right of mean

So, we want to get the percentage that is between the mean and two standard deviations away from it using the empirical rule

So according to the empirical rule

The percentage will be

100-2.35-0.15

= 100-2.5 = 97.5%

Answer:

The next two terms are  92 and 105.

Step-by-step explanation:

79 + 13 = 92

92 + 13 = 105

Answer:

The support post positioned 23 feet far from the front of the house

Step-by-step explanation:

According to Pythagoras Theorem

(Hypotenuse)² = (Base)² + ( Perpendicular)²

We need to find Base so arranging the equation will give us

(Base)² = (Hypotenuse)² -  ( Perpendicular)²

Taking under root on both sides

Base =  √(Hypotenuse)² -  ( Perpendicular)²

Base =  √ (625 - 100)

Base = √525

Base = 23 feet

Answer:

answer will multiple of 6 till 5 because each 10 contain 6 so ans is 6,12,18,24,30

Answer:

Concept: Math Analysis

Answer: y3 = y= 4. 4 x3 =12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

you would replace y with 4 and that leaves you with

(4)3= 12

Good luck have a good rest of your day!

Answer:

7x-18

Step-by-step explanation:

brainlliest plz

Answer: 2

Step-by-step explanation: add 2 to 7 you get 9