Help please I need answers for these questions

Answer:

A. The distribution of sample means of the differences will be approximately normal if there are at least 30 years of data in the sample​ and/or if the population of differences in winning times for all years is normal.

Step-by-step explanation:

In other to perform a valid paired test, one of the conditions required is that, data for both groups must be approximately normal. To attain normality, the population distribution for the groups must be normal or based on the central limit theorem, the sample size must be large enough, usually n > 30. Hence, once either of the two conditions are met, the paired sample will be valid.

9514 1404 393

Answer:

Step-by-step explanation:

Their age total is 15+10=25, so Ram will get 15/25 = 0.6 of the total. Kalpana will get the remaining 0.4 of the total.

  Ram receives 0.6 × ₹2000 = ₹1200

  Kalpana receives 0.4 × ₹2000 = ₹800

Answer: x=4, -1

Step-by-step explanation:

Assuming you meant [tex]x^3-7x^2+8x+16[/tex], the zeros of the question are x = 4 and -1.

Step 1. Replace f(x) with y.

[tex]y = x^3-7x^2+8x+16[/tex]

Step 2. To find the roots of the equation, replace y with 0 and solve.

[tex]0 = x^3-7x^2+8x+16[/tex]

Step 3. Factor the left side of the equation.

[tex](x-4)^2 (x+1)=0[/tex]

Step 4. Set x-4 equal to 0 and solve for x.

[tex]x-4=0[/tex]

Step 5. Set [tex]x+1[/tex] equal to 0 and solve for x.

[tex]x=-1[/tex]

The solution is the result of [tex]x-4=0[/tex] and [tex]x+1=0[/tex].

[tex]x=4,-1[/tex]

Answer:

a) 0.0038 = 0.38% probability that the mean weight of the sample is less than 5.97 ounces.

b) Given a mean of 6.05 ounces, it is very unlikely that a sample mean of less than 5.97 ounces, which means that the true mean must be recalculated.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 6.05 ounces and a standard deviation of .18 ounces.

This means that [tex]\mu = 6.05, \sigma = 0.18[/tex]

Sample of 36:

This means that [tex]n = 36, s = \frac{0.18}{\sqrt{36}} = 0.03[/tex]

a. Find the probability that the mean weight of the sample is less than 5.97 ounces.

This is the p-value of z when X = 5.97. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{5.97 - 6.05}{0.03}[/tex]

[tex]Z = -2.67[/tex]

[tex]Z = -2.67[/tex] has a p-value of 0.0038.

0.0038 = 0.38% probability that the mean weight of the sample is less than 5.97 ounces.

b. Suppose your random sample of 36 cans of salmon produced a mean weight that is less than 5.97 ounces. Comment on the statement made by the manufacturer.

Given a mean of 6.05 ounces, it is very unlikely that a sample mean of less than 5.97 ounces, which means that the true mean must be recalculated.

Answer:

[tex]Domain = (-\infty,\infty)[/tex]

[tex]Range = (0,1)\\[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \sin|x|[/tex]

Solving (a): The domain

There is no restriction on the given function because it is not a root function and doesn't have a x denominated fraction

Hence, the domain is:

[tex](-\infty,\infty)[/tex]

Solving (b): The range

The minimum of a sine function is 0

The maximum of a sine function is 1

So, the range is:

[tex](0,1)[/tex]

Answer:

أنت مجنون ، هل تعرف ذلك؟

Step-by-step explanation:

بنسلفانيا

Answer:

2

Step-by-step explanation:

8 ^ (5/3) ^ 1/5

We know a^b^c = a^(b*c)

8^ (5/3*1/5)

8^ 1/3

Rewriting 8 as 2^3

2^3 ^1/3

2 ^(3*1/3)

2^1

2

Answer:

2

Step-by-step explanation:

((2^3)^5/3)^1/5

= (2^5)^1/5

= 2

Answered by Gauthmath

Answer: 10

Step-by-step explanation:

Sqrt (7- -5)^2+(-5-4)^2 =

Sqrt (12)^2+(-9)^2 =

Sqrt 225 = 15

2/3 * 15 = 30/3 = 10

Answer:

The fraction is undefined when x=-2

Step-by-step explanation:

The fraction will be undefined when the denominator is zero

x+2 = 0

x+2-2 = 0-2

x = -2

The fraction is undefined when x=-2

Answer:

as to me 5

Step-by-step explanation:

ask someone else to say that I am not sure if you have any questions or need any further information please contact me at the end of the world

To find the cost, we must:

Doing this, we get that the cost is: $3,815, and the correct option is B.

Carpet:

The carpet can be divided into:

----------------------------------------------

Area of the rectangle:

The area of a rectangle of dimensions l and w is given by:

[tex]A_r = lw[/tex]

In this question, the dimensions are l = 56 ft, w = 38 ft, so the area, in square feet, is:

[tex]A_r = 56*38 = 2128[/tex]

-------------------------------------------

Area of a right triangle:

The area of a right triangle of legs a and b is given by:

[tex]A_t = \frac{ab}{2}[/tex]

In this question, the legs are a = 56, b = 38, so the area, in square feet, is:

[tex]A_t = \frac{56(33)}{2} = 924[/tex]

----------------------------

Total area:

The total area is the sum of the area of the rectangle with the area of the right triangle, thus:

[tex]A = A_r + A_t = 2128 + 924 = 3052[/tex]

-------------------------

Cost:

Each square foot costs $1.25.

There are 3,052 square feet. So, the cost is:

[tex]C = 1.25*3052 = 3815[/tex]

Thus, the cost is $3,815, and the correct option is B.

A similar question is found at https://brainly.com/question/13209573

The pair of functions that are inverses of each other is B. f(x) = 2x - 9 and g(x) = x + 9/2.

To determine if two functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's analyze the given options:

A. f(x) = 5 + x and g(x) = 5 - x

To check if they are inverses, we compute f(g(x)) = f(5 - x) = 5 + (5 - x) = 10 - x, which is not equal to x. Similarly, g(f(x)) = g(5 + x) = 5 - (5 + x) = -x, which is also not equal to x. Therefore, these functions are not inverses.

B. f(x) = 2x - 9 and g(x) = x + 9/2

By calculating f(g(x)) and g(f(x)), we find that f(g(x)) = x and g(f(x)) = x, which means these functions are inverses of each other.

C. f(x) = 3 - 6 and g(x) = x + 6/2

Similar to option A, we compute f(g(x)) and g(f(x)), and find that they are not equal to x. Hence, these functions are not inverses.

D. f(x) = x/3 + 4 and g(x) = 3x - 4

After evaluating f(g(x)) and g(f(x)), we see that f(g(x)) = x and g(f(x)) = x. Therefore, these functions are inverses of each other.

In summary, the pair of functions that are inverses of each other is B. f(x) = 2x - 9 and g(x) = x + 9/2.

Learn more about function here:

https://brainly.com/question/782311

#SPJ8

Answer:

B  at -1 minus we go to - ∞

at -1 plus  we to + ∞

Step-by-step explanation:

         x^2 -x

g(x) = ---------

         x+1

Factor out x

         x(x-1)

g(x) = ---------

         x+1

As x is to the left of -1

   x is negative (x-1) is negative

        x+1  will be slightly negative

g(-1 minus) = -*-/ -  = -  and we know that the denominator is very close to zero  we are close to infinity  so we go to - ∞

As x is to the right of -1

   x is negative (x-1) is negative

        x+1  will be slightly positive

g(-1 plus) = -*-/ +  = +  and we know that the denominator is very close to zero  we are close to infinity  so we go to  ∞

Answer:

(3/2,10)

Step-by-step explanation:

Mid point is ((10-7)/2,(13+7)/2)=(1.5,10)

Answer:

PTR upon hundreds .by putting these formulas you can solve ti and is 2000

Answer:

squaring a number is multiplying it by itself twice and cubing a number is multiplying the number three times itself

Step-by-step explanation:

for example 2²=2×2

=4

and 2³=2×2×2

=8

Answer:

-2(2x-4) = -4x+8 or 2(2x-4) ≠ 4x ; -4x+8 ≠ 4x

Step-by-step explanation:

Did you accidentally write =4x after your expression? If so, then let me explain why my answer is correct. I used distributive property of multiplication, so I multiplied -2 with 2x to get -4x, and -2 multiplied with -4 to get 8. So my final answer was -4x+8. If you did not accidentally put -4x, then my answer would be, 2(2x-4) ≠ 4x or -4x+8 ≠ 4x. Hope this helped.

Answer:

Ricardo's reasoning is not correct

Step-by-step explanation:

Find who got the better deal by dividing the price by the number of pounds of pretzels:

16.80/7 = $2.40 a pound

12.75/5 = $2.55 a pound

So, Josue got the better deal because he only spent $2.40 a pound on the pretzels, while Ricardo spent $2.55 a pound.

Ricardo did not get the better deal, because he spent more per pound on the pretzels.

Ricardo's reasoning is not correct.

Answer:

y = -1/4x+1/2

Step-by-step explanation:

y = 4x - 3

This is in slope intercept form, y = mx+b where the slope is m

The slope is 4

Perpendicular lines have slopes that are negative reciprocals

-1/4 is the slope of the perpendicular line

y = -1/4x+b

Using the point (2,0)

0 = -1/4(2)+b

0 = -1/2+b

b = 1/2

y = -1/4x+1/2

Answer:

0.025 ;

(-0.7198 ; 0.7698)

Step-by-step explanation:

From the table :

_____________ private schls ___ public schls

Sample size, n _____ 80 __________ 520

P, NBC teachers ___ 0.175 ________ 0.150

P1 = P of  private school teachers

P2 = P of public school teachers

Difference in proportion :

P1 - P12 = 0.175 - 0.150.= 0.025

The 90% confidence interval for 2 - sample proportion :

C.I = (p1-p2) ± [Zcritical * √(p1(1-p1)/n1 + (p2(1-p2)/n2)]

Zcritical at 90% = 1.645

C.I = 0.025 ± [1.645 * √((0.175*0.825)/80 + (0.150*0.850)/520)]

C.I = 0.025 ± [1.645 * √(0.0018046875 + 0.0002451)]

C.I = 0.025 ± 1.645 * 0.0452755

C.I = 0.025 ± 0.07448

C.I = (-0.7198 ; 0.7698)

Answer: 1.00022048

Step-by-step explanation:

Answer:

The sum of 4 consecutive odd number is 80

Let X be the first of these numbers

Then the next odd number is X+2

The third is X+4The fourth is X+6

All of these add up to 80

(X) + (X+2) + (X+4) + (X+6) = 80

Using the commutative and associative laws, let's transform this equation into

(X + X + X + X) + (2 + 4 + 6) = 804X + 12 = 80

Subtract 12 from both sides of the equation gives4X = 68

Divide both sides by 4 gives

X = 17

Going back to the original question:What are the 4 consecutive odd numbers: 17, 19, 21, 23Checking our answer:17 + 19 + 21 + 23 = 80 Correct!

Answer:

4th option

Step-by-step explanation:

The relationship is linear,

putting the value of x in the right side of the equation of option 4, you'll get the value of the left side

putting, x=1

y+4=-1/2(x-1)

y=-1/2(1-1)-4

y=-4

putting, x=7

y+4=-1/2(7-1)

y=-1/2(6)-4

y=-6/2-4

y=-3-4

y=-7

Answer:

x=13.2

Step-by-step explanation:

cos(43)=x/18

x=18×cos(43)

x=13.2

Answered by GAUTHMATH

Answer:

$2000

Step-by-step explanation:

let x be the money she invested

lets assume this was for 1 year

0.09(x/2) + 0.07(x/2) = 160

multiply each side by 2 to cancel the denominators:

0.09x + 0.07x = 320

0.16x = 320

x = 2000

Answer: $2000

Let the amount of money she invested be x

Lets assume the time of investment as 1 year

ATQ

0.09(x/2) + 0.07(x/2) = 160

0.09x + 0.07x = 320

0.16x = 320

x = 2000

Must click thanks and mark brainliest

Answer:

hshdhdhdshejiwiwiwiwiwi

Answer:

x = 1       y = -4

Step-by-step explanation:

-7x + 3 = -x - 3

-7x = -x - 6

-6x = -6

x = 1

y = - (1) - 3

y = -1 - 3

y = -4

Answer:

[tex]9\sqrt{3}[/tex]

Step-by-step explanation:

This is a 30-60-90 triangle.

It's good to remember this. The side length opposite to the 60 degree angle is always the base multiplied by [tex]\sqrt{3}[/tex]

Answer:

9√3.

Step-by-step explanation:

tan 60 = √3

So w/9 =√3

w = 9√3

The test statistic is given by t and t is calculated with the help of the test statistic formula. The value of t is 4.45.

The test statistic summarizes the observation data into a unique number using central tendency, the variation, sample, and size in your statistical model.

here, we have,

The given information will be shown below.

The first sample size n₁ = 36

The second sample size n₂ = 34

The mean of the first sample x₁ = 68.5

The mean of second sample x₂ = 70

Then the test statistic will be given as:

t = -4.45

The test statistic | t | = |–4.45| = 4.45

More about the test statistic link is given below.

brainly.com/question/15236063

#SPJ2

complete question:

g A test was conducted to determine if there is a difference between Canadian and American average heart rates. A group of 36 Canadians and 34 Americans were randomly selected and their heart rates measured in beats per minute (bpm). The mean heart rate for Canadians was 68.5 and 70 for Americans. The pooled standard deviation of 2.0 beats/minute was calculated. Estimate a plausible range of differences between the mean heart rate of Canadians and Americans. What statistical procedure should be used to answer this research question