What is the value of ? 4 1/2 – 1 3/4?

The test statistic value is -2.03.

What is the mean and standard deviation?

In statistics, the measurement of variability known as the standard deviation (SD) is frequently utilised. It displays the degree of variance from the mean (average). While a high SD shows that the data are dispersed throughout a wide range of values, a low SD suggests that the data points tend to be close to the mean.

We can use a one-sample t-test to test whether the mean endurance time of the tires is significantly different from the claimed value of 40000 km. The test statistic is given by:

\(t = (x - \mu) / (s / \sqrt{(n)})\)

where x is the sample mean (39750 km), μ is the claimed mean (40000 km), s is the sample standard deviation (387 km), and n is the sample size (25).

Substituting the values, we get:

\(t = (39750 - 40000) / (387 / \sqrt{25})\)

t = -250 / (387/5)

t = -2.03

Therefore, the test statistic value is -2.03.

To learn more about the mean and standard deviation visit:

brainly.com/question/475676

#SPJ4

Answer:

\(y=\frac{3}{4}x\)

Step-by-step explanation:

The graph represents direct variation since it is a line passing through the origin.

The constant of proportionality is \(\frac{18}{24}=\frac{3}{4}\), so \(y=\frac{3}{4}x\).

Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

malachy got 123 euros

Step-by-step explanation:

if i m right than give me brainliest

You can travel approximately 312.44 miles until your battery runs out.

To determine how far you can travel until your battery runs out, we need to find the point at which the charge (C) reaches 0%. We can use the given information to determine the equation of the line representing the relationship between the charge and the distance traveled.

Let's use the two data points provided:

Point 1: (89 miles, 64% charge)

Point 2: (250 miles, 18% charge)

Using the point-slope form of a linear equation, we can calculate the equation of the line:

m = (C2 - C1) / (d2 - d1)

m = (18 - 64) / (250 - 89)

m = -46 / 161

Using the slope-intercept form of a linear equation, we can substitute one of the points and the slope to find the equation:

C - C1 = m(d - d1)

C - 64 = (-46 / 161)(d - 89)

Simplifying further:

C - 64 = (-46 / 161)d + (89 * 46 / 161)

C = (-46 / 161)d + (89 * 46 / 161) + 64

C = (-46 / 161)d + 89.42

Therefore, the equation representing the relationship between the charge (C) and the distance traveled (d) is C = (-46 / 161)d + 89.42.

To determine how far you can travel until your battery runs out (when the charge reaches 0%), we can set C to 0 and solve for d:

0 = (-46 / 161)d + 89.42

(46 / 161)d = 89.42

d = (89.42 * 161) / 46

d ≈ 312.44 miles

Therefore, you can travel approximately 312.44 miles until your battery runs out.

for such more question on distance

https://brainly.com/question/7243416

#SPJ8

Answer:

0.19 50% 15/20 9/10 95%

Step-by-step explanation:

I know

Answer:

1 560

Step-by-step explanation:

If no digit (from the digits 3, 4, 5, 6, 7, 8) can be used more than once :

we can form 6P5 = 720 (five-digit numbers) and they are all > 7000

we can form 6P6 = 720 (six-digit numbers) and they are all > 7000

if our number has four digits ,then the digit in the ten-thousands place of it must be 7 or 8 :

In this case :

we can form 5P3=60 number where the digit in the ten-thousands place of it is 7.

and we can form 5P3=60 number where the digit in the ten-thousands place of it is 8.

Final answer :

We can form 720+720+60+60 = 1 560 number greater than 7000

A(8) = 9/7A(-5) = -1/3A(3/1) = 2A(-71/1) = -5/36

Function: A(t) = (t+1)/(t-1)For the given function A(t), the following values are to be calculated: A(8), A(-5), A(3/1), and A(-71/1)A(8):We need to substitute t=8 in the function. A(8) = (8+1)/(8-1) = 9/7Therefore, A(8) = 9/7A(-5):We need to substitute t=-5 in the function. A(-5) = (-5+1)/(-5-1) = -1/3Therefore, A(-5) = -1/3A(3/1):We need to substitute t=3/1 in the function. A(3/1) = (3/1+1)/(3/1-1) = (4)/(2/1) = 4*1/2 = 2Therefore, A(3/1) = 2A(-71/1):We need to substitute t=-71/1 in the function. A(-71/1) = (-71/1+1)/(-71/1-1) = (-70/1)/(-72/1) = (-5/36)Therefore, A(-71/1) = -5/36Therefore, the respective answers for the given values of the function A(t) are as follows: A(8) = 9/7A(-5) = -1/3A(3/1) = 2A(-71/1) = -5/36

Learn more about Function

brainly.com/question/21145944

#SPJ11

Where the 1-20 dice is rolled, the correct answers are as follows

The probability   of rolling an odd number is equally likely because there are 10 odd numbers (1, 3,5, 7, 9, 11, 13, 15, 17, 19) out of a total of 20 possible outcomes.

The probability of rolling an even number is equally likely because there are 10 even numbers   (2, 4, 6, 8,10, 12, 14, 16, 18, 20) out of a total of 20 possible outcomes.

The probability of rolling a number   less than 10 is likely, not unlikely, because there are 9 numbers less than 10 (1, 2, 3, 4, 5, 6, 7,8, 9) out of a total of 20 possible outcomes.

The probability of rolling the   number 12 is unlikely because there is only 1 number 12 out of a total of 20 possible outcomes.

Learn more about Probability  at:

https://brainly.com/question/13604758

#SPJ1

let's check each one of the options:

(A) is not equivalent

(B) is not equivalent

(C) is not equivalent

(D) it is equivalent to the given equation because

we divide in both sides of the equality by 3 and obtain:

then:

Total 110 rain jackets were collected at the end of drive.

The number of total rain jacket collected can be calculated using multiplication. So, performing calculation, but firstly writing the relation between for it.

Total number of rain jacket collected = Number of rain jacket collected on first day × 10

Keep the value of number of rain jacket collected on first day

Total number of rain jacket collected = 11 × 10

Performing multiplication on Right Hand Side of the equation

Total number of rain jacket collected = 110

Hence, 110 rain jackets were collected.

Learn more about multiplication -

https://brainly.com/question/10873737

#SPJ4

It will take the turtle 5 hours to crawl across the meadow that is 750 meters wide at a constant speed of 2.5 meters per minute.

To determine how many hours it will take the turtle to crawl across a meadow that is 750 meters wide, we can use the formula:
Time = Distance / Speed

Given that the turtle's speed is 2.5 meters per minute and the distance across the meadow is 750 meters, we can substitute these values into the formula:
Time = 750 meters / 2.5 meters per minute
Simplifying the expression, we have:
Time = 300 minutes

Since we want to express the time in hours, we need to convert the minutes to hours. There are 60 minutes in an hour, so:
Time = 300 minutes / 60 minutes per hour
Simplifying further, we get:
Time = 5 hours

Learn more about speed here:

https://brainly.com/question/13943409

#SPJ11

The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

Read more about proportion at:

https://brainly.com/question/16828793

#SPJ12

Answer:

The answer would be B.

Step-by-step explanation:

This is because the total cost is $30 so it can't be c or d. A shows that Annie can only have at least $30. this means that B is the only option left.

If this answer is wrong, I deeply apoligize. I hope you have a great day.

Explanation:

The balance after t years can be calculated using the following equation:

Where P is the principal amount and r is the rate of interest per year.

So, replacing P by $300, r by 3.5%, and t by 5, we get:

So, the balance after 5 years is $356,3059

Answer: $356.3059

Answer:

8

Step-by-step explanation:

8^3 = 8*8*8 = 512

la base = base = 8

Answer:

-6

Step-by-step explanation:

Plug in -1/3for t

W(-1/3)=15(-1/3)-1=-5-1=-6

Answer:

-6

Step-by-step explanation:

substitute -1/3 into w(t) = 15t - 1

=>  w(-1/3) = 15(-1/3) - 1

=> w(-1/3) = -6

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)).

Let the functions be f(x) = 4x² + 1 and g(x) = x² - 3

The correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g exists used for the outcome of applying the function f to x.

Given:

f(x) = 4x² + 1 and g(x) = x² - 3

a) (f o g)(x) = f[g(x)]

f[g(x)] = 4(x² - 3)² + 1

substitute the value of g(x) in the above equation, and we get

    = 4(x⁴ - 24x + 9) + 1

simplifying the above equation

    = 4x⁴ - 96x + 36 + 1

    = 4x⁴ - 96x + 37

(f o g)(x) = 4x⁴ - 96x + 37

b) (g o f)(x) = g[f(x)]

substitute the value of g(x) in the above equation, and we get

g[f(x)] = (4x² + 1)²- 3

      = 16x⁴ + 8x² + 1 - 3

simplifying the above equation

      = 16x⁴ + 8x² - 2

(g o f)(x) = 16x⁴ + 8x² - 2.

Therefore, the correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

To learn more about the function refer to:

https://brainly.com/question/26709985

#SPJ9

xtas a linear combination of Vil and Axt v1 +I v3 = 11a v1 + 13b v3 + I v3.  

Given that we have eigenvectors of the matrix A corresponding to the eigenvalues 11 -2, 0, and 13 1, respectively, and let x be expressed as a linear combination of v1 and v2, we can write:

x = av1 + bv3

where a and b are constants.

To find Axt v1 +I v3, we can substitute x into this expression:

A(av1 + bv3) + I(v3)

= a(Av1) + b(Av3) + Iv3

Now, since v1 and v3 are eigenvectors of A, we have:

Av1 = 11v1

Av3 = 13v3

Substituting these values in, we get:

a(11v1) + b(13v3) + Iv3

= 11av1 + 13bv3 + Iv3

Finally, we can factor out v1 and v3 to get:

11a v1 + 13b v3 + I v3

So, Axt v1 +I v3 = 11a v1 + 13b v3 + I v3.

To learn more about matrix visit;

brainly.com/question/29132693

#SPJ11

Answer:

Can you add a screenshot of the equations? It's hard to figure it out in this format and I don't want to give you the wrong answer.

Step-by-step explanation:

The correct statement is: The margin of error is plus or minus 3%.

To determine the margin of error based on the given confidence interval, we can calculate half the width of the interval. The margin of error is the maximum likely difference between the true proportion and the sample estimate.

The given confidence interval is (40%, 46%), so the width of the interval is 46% - 40% = 6%.

The margin of error is half of the width of the interval, so the margin of error is 6% / 2 = 3%.

Know more about margin of error here:

https://brainly.com/question/29101642

#SPJ11

Answer:

Step-by-step explanation:

1) -3 + \(\frac{1}{2} n\)  = \(\frac{1}{2}\)(-n + 14)

-3 + \(\frac{1}{2} n\) = \(\frac{-1}{2} n\\\) + 7

\(\frac{1}{2} n\) + \(\frac{1}{2} n\) = 3+ 7

\(\frac{1}{4\\} n\) = 10 bhhhhhhhhhhhhhhhhhh

n = 10 : 1/4

n = 40

2) -3 + \(\frac{1}{2} n\)  = \(\frac{1}{2}\)(-n + 14)

-3 + \(\frac{1}{2} n\) - \(\frac{1}{2}\)(-n + 14) =0

-3 + \(\frac{1}{2} n\)  + \(\frac{1}{2}\)n - 7 = 0

\(\frac{1}{4} n\\\)  - 10 = 0

\(\frac{1}{4}\)( n - 40 ) = 0

n- 40 = 0

n = 40

Answer:

x = 14.2 y=15.

Step-by-step explanation:

Answer:

v=2

Step-by-step explanation:

-9v-9=-27

add nine to both sides

-9v-9+9=-27+9

simplify

-9v=-18

divide both sides by -9

-9v/-9   -18/-9

simplify y=2

hope this helps :) have a nice day !!

Answer:

v=2

Step-by-step explanation:

-9v-9=-27

add nine to both sides

-9v-9+9=-27+9

simplify

-9v=-18

divide both sides by -9

-9v/-9   -18/-9

simplify y=2

Answer:

Step-by-step explanation:

x - the first number

x+1 - the number consecutive to x  (secon consecutive)

x+1+1=x+2  - next consecutive number (the third)

x+2+1 = x+3  - the last consecutive number (fourth)

x + x+1 x+2 + x+3 = 180

 4x + 6 = 180

      -6       -6

   4x  =  174

   ÷4      ÷4

   x = 43.5

It is not an integer. I means there are not four consecutive integers which gives the sum 180.

Answer:

Step-by-step explanation:

The equation is based on the relation that the perimeter is equal to the sum of the side lengths.

  P = red + blue + yellow

  52 = (7x -4) +(19) +(10x +3)

  52 = 17x +18 . . . . . . . . . . . . . . simplify

  34 = 17x . . . . . . . . . . . . . subtract 18

  2 = x . . . . . . . . . . . . divide by 17

__

  red = 7(2) -4 = 10

  blue = 19

  yellow = 10(2) +3 = 23

It depends on which number has the greatest absolute value.

Think about it as money

If you owe me $10, this is shown as -10

Now  if I give you back 2 dollars  (+2), How much money do I still owe you.

The equation is -10+2

I still owe you 8 dollars which is portrayed as -8

Hope this helps :)