A certain brand of automobile tire has a mean life span of 38,00 miles and a standard deviation of 2,100 miles. assume the life spans of the tires have a bell-shaped distribution.
For the life span of 35,000 miles, z score is -.43
For the life span of 37,000 miles, z score is .43
For the life span of 32,000 miles, z score is -1.7
According to the z-scores, would the life spans of any of these tires be considered unusual?
a. yes
b. no

Answer:

C

Step-by-step explanation:

Sana nakatutulong

#Carry on learning

Pa brainliest po

Answer:

Might be wrong but 27. Hope this helps

Answer:

48 girls!

Step-by-step explanation:

boys = 6x

girls = 8x

6x = 36

x = 36/6 = 6

girls = 8x = 8 x 6 =  48

I hope im right!

Answer: x3 + x2 +2x2y +xy2 + y2 + 2xy

Answer:

Step-by-step explanation:

If Sashi weaves 25 baskets in 35 days, let's find out how long it takes her to weave 1 basket.

25 baskets = 35 days

To find how long one basket takes, divide 35 by 25

1 basket = 35/25 = 1.4 days

Next to find how many days it takes for her to weave 110, you just multiply by 110 since we know it takes her 1.4 days to weave 1 basket.

110 baskets = 1.4 times 110 = 154 days.

The exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

By combining the fourth roots from both sides, we arrive at:

b = 5

When we use the expression we discovered for a and this value of b, we get:

a = (2/5) * 5 = 2

As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

from the question:

This is the shape of the exponential function:

f(x) = a *\(b^x\)

where a represents the starting point and b represents the exponential function's base.

We must solve the system of equations to determine the values of a and b that meet the requirements:

a * \(b^(-1)\) = 2/5 (equation 1) 

a *\(b^3\)= 250 (equation 2) 

We can solve for an in equation 1 by multiplying both sides by b:

a = (2/5) * b

Substituting this expression into equation 2, we get:

(2/5) * b *\(b^3\) = 250

Simplifying, we get:

\(b^4 = 3125\)

By combining the fourth roots from both sides, we arrive at:

b = 5

When we use the expression we discovered for a and this value of b, we get:

a = (2/5) * 5 = 2

As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

to know more about functions visit:

https://brainly.com/question/12431044

#SPJ1

The number of cups of pineapple juice and ginger ale will be 5 cups and 9 cups.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Punch recipe: ginger ale 45%, orange juice 30%, pineapple juice 25%.

If 6 cups of orange juice. Then the total number of cups of juice will be

⇒ 6 / 0.30

⇒ 20 cups

The number of cups of ginger ale will be

⇒ 45% of the 20

⇒ 0.45 x 20

⇒ 9 cups

The number of cups of pineapple juice will be

⇒ 25% of the 20

⇒ 0.25 x 20

⇒ 5 cups

The number of cups of pineapple juice and ginger ale will be 5 cups and 9 cups.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

To test the convergence or divergence of the series \($\sum_{n=1}^{\infty} (-1)^n \frac{7n-5}{4n^5}$,\) we can use the alternating series test.

The alternating series test states that if the terms of an alternating series alternate in sign and decrease in absolute value, then the series converges.

In our series, we have alternating terms \($(-1)^n$ and $\frac{7n-5}{4n^5}$.\)

1. Alternating: The terms alternate in sign since we have \($(-1)^n$.\)

2. Decreasing: To check if the absolute values of the terms decrease, we can look at the ratio of consecutive terms:

 \($\left| \frac{(-1)^{n+1} (7(n+1)-5)}{4(n+1)^5} \right| \div \left| \frac{(-1)^n (7n-5)}{4n^5} \right|$\)

  Simplifying the ratio, we get:

 \($\left| \frac{(7n+2)(n+1)^5}{n^5} \right|$\)

  As n increases, the absolute value of the ratio increases because the numerator grows faster than the denominator. Therefore, the terms do not decrease in absolute value.

Since the terms of the series do not decrease in absolute value, we cannot conclude whether the series converges or diverges using the alternating series test alone.

To evaluate the limit \($\lim_{n \to \infty} (-1)^n \frac{7n-5}{4n^5}$,\) we can simplify the expression:

\($\lim_{n \to \infty} (-1)^n \frac{7n-5}{4n^5} = \lim_{n \to \infty} \frac{(-1)^n (7n-5)}{4n^5}$\)

Since the limit involves an alternating sign, it does not exist. Therefore, we can conclude that the series \($\sum_{n=1}^{\infty} (-1)^n \frac{7n-5}{4n^5}$\) diverges.

To know more about limit visit-

brainly.com/question/31388757

#SPJ11

Answer:

5+3w

Step-by-step explanation:

make it braintliest please

Answer:

w^3+5

Step-by-step explanation:

I am pretty sure you would just combine like terms and then add them together.

I hope this helps u out...

==================================================

Work Shown:

total distance = 43+40+46 = 129 km

total time = 1+1+1 = 3 hours

average speed = (total distance)/(total time)

average speed = (129 km)/(3 hrs)

average speed = (129/3) (km/hr)

average speed = 43 km per hour

if you add all 3 together than you will get 129 thats what i got. is that what you need?

Answer:

x<-8/15

Step-by-step explanation:

Subtract 1/3 from both sides

1. X does not have a binomial distribution.

2. X cannot have a binomial distribution.

Part 1: The random variable X do not have a binomial distribution.

Part 2: The random variable is not binomial because the first condition for a binomial distribution does not hold. A binomial distribution requires a fixed number of trials, but in this case, the number of students chosen from the Statistics class is not fixed, but rather a random variable itself. Therefore, X cannot have a binomial distribution.

To know more about binomial distribution refer here:

https://brainly.com/question/29163389

#SPJ11

Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

To know more about the annual interest rate refer here :

https://brainly.com/question/20631001#

#SPJ11

The simplified version of (sec a - cosec a) / (sec a + cosec a)  is cosec 2a(cosec 2a - 2) / (sec²a - cosec²a).

The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given:

(sec a - cosec a) / (sec a + cosec a)

Multiply the numerator and denominator by (sec a - cosec a)

(sec a - cosec a) / (sec a + cosec a)  × (sec a - cosec a)

(sec²a + cosec²a -2sec a cosec a) / (sec²a - cosec²a)

As we know,

\(sec^2a + cosec^2a = sec^2a \ cosec^2a\)

sec² a cosec² a - 2sec a cosec a /  (sec²a - cosec²a)

sec a cosec a (sec a cosec a - 2) / (sec²a - cosec²a)

cosec 2a(cosec 2a - 2) / (sec²a - cosec²a)

To know more about trigonometry:

https://brainly.com/question/14272510

#SPJ1

The length of BC rounded to 3 decimal places is 4.307 meters.

It states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the base and perpendicular. Mathematically -

h² = p² + b²

We have the following length and angle as shown in the figure -

[x] = AB = 8.1

θ = ∠BAC = 28°

Using the tangent rule we can write -

tanθ = BC/AB

BC = AB tanθ

BC = 8.1 x tan(28°)

BC = 4.307

Therefore, the length of BC rounded to 3 decimal places is 4.307 meters.

To solve more questions on Pythagoras theorem, visit the link below -

brainly.com/question/21511305

#SPJ1

Between 20 and 40 units per hour, the long-run average cost curve exhibits constant returns to scale. The statement that indicates between 20 and 40 units per hour, the long-run average cost curve exhibits constant returns to scale. This is option B.

In microeconomics, the long-run average cost (LRAC) is a method of showing the average expense per unit for a given level of production input. It is the cost of producing goods per unit using a specified number of inputs, such as labor and capital.

Long-run average cost is the average cost per unit of production after the company has adapted its production scale fully. As a result, the term "long-run" denotes a period in which all of the firm's inputs are variable.

The cost structure's shape is represented by the long-run average cost curve. The curve is determined by dividing the cost of producing goods by the number of goods produced. It aids in identifying the production rate at which a firm may generate the most output at the lowest cost.The long-run average cost curve depicts how the average cost of production varies with scale.

The curve might be downward-sloping, indicating economies of scale, flat, implying constant returns to scale, or upward-sloping, indicating diseconomies of scale, based on the company's production methods.

Hence, the answer is B.

Learn more about LRAC at

https://brainly.com/question/32524445

#SPJ11

Answer:

76

Step-by-step explanation:

10 * 4 + 6 ^ 2  = 40 + 36 = 76

Answer:

Step-by-step explanation:

Andace needs to score at least 98 on her fifth exam to have an average of 90 or better for the five exams.

To find out what score Andace needs to get on the fifth exam, we can use the formula for the average (also known as the mean):

Average = (sum of all scores) / (number of scores)

We know that Andace needs an average of 90 or better for the five exams. Therefore, the sum of all five scores must be at least 450 (90 multiplied by 5).

The sum of Andace's first four scores is:

96 + 84 + 95 + 82 = 357

To get an average of 90 or better for the five exams, Andace needs to get a total of:

450 - 357 = 93

on her fifth exam.

Since she has already taken four exams and the maximum score she can get on her fifth exam is 100, we can subtract her first four scores from 93 to find out what she needs to score on her fifth exam:

93 - 96 - 84 - 95 - 82 = -164

Since it's not possible for Andace to score a negative number on her fifth exam, we can conclude that she needs to score at least 98 (93 - 5) to have an average of 90 or better for the five exams.

In conclusion, Andace needs to score at least 98 on her fifth exam to have an average of 90 or better for all five exams.


To know more about Average, refer here:

https://brainly.com/question/27646993#

#SPJ11

The perimeter is the distance along the edge of a figure, it is most commonly used for 2-D figures.

Then, it does apply to a rectangle since is a 2-D figure with defined sides.

However, it does not apply to a sphere since it is a 3-D figure with no defined sides, for a sphere we can calculate volume, surface area, radius, diameter, and circumference.

Answer:

-2/3 then -7, 4

Step-by-step explanation:

7x - 40 = 5x - 8

2x = 32

x = 16

QR

5(16) - 8

80 - 8

=72

Answer:

x = 16

qr = 72

Step-by-step explanation:

The correct function that describes the student's distance from the finish line after x minutes is f(x) = -1/4x + 10.

The correct function that describes the student's distance from the finish line after x minutes can be determined by analyzing the given information. We know that the student runs 1 kilometer every 4 minutes, and the race is a total of 10 kilometers.

Let's examine the options:

1. f(x) = 1/4x + 10

This function represents the distance covered by the student in x minutes, but it does not account for the fact that the total race distance is 10 kilometers.

2. f(x) = -1/10x + 4

This function has a negative coefficient for x, which would indicate that the student is getting farther away from the finish line as time progresses, which is not the case.

3. f(x) = 1/10 + 4

This function is a constant and does not change with time, so it cannot describe the student's distance from the finish line.

4. f(x) = -1/4x + 10

This function correctly represents the student's distance from the finish line. The negative coefficient for x indicates that the distance decreases as time progresses, and the constant term of 10 represents the initial distance from the finish line, which is 10 kilometers.

For more such questions on function

https://brainly.com/question/11624077

#SPJ8

The optimal solution for the given linear programming model is:

max z = 38

when x1 = 5, x2 = 10, x3 = 0

To solve the given linear programming model using the simplex algorithm, we start by converting the inequalities into equations and introducing slack variables. The initial tableau is constructed with the coefficients of the decision variables and the right-hand side constants.

Next, we apply the simplex algorithm to iteratively improve the solution. By performing pivot operations, we move towards the optimal solution. In each iteration, we select the pivot column based on the most negative coefficient in the objective row and the pivot row based on the minimum ratio test.

After several iterations, we reach the optimal tableau, where all the coefficients in the objective row are non-negative. The optimal solution is obtained by reading the values of the decision variables from the tableau.

In this case, the optimal solution is z = 38 when x1 = 5, x2 = 10, and x3 = 0. This means that to maximize the objective function, the decision variables x1 and x2 should be set to 5 and 10 respectively, while x3 is set to 0.

Learn more about optimal solution

brainly.com/question/30575901

#SPJ11

Answer:

6 for $1.26 is better

Step-by-step explanation:

$1.26/6 = $0.21 per can

$1.98/9 = $0.22 per can

Answer:

Step-by-step explanation:

no idea i need points so thats y im commenting

Answer:

Step-by-step explanation:

l = 10

b = 6

d = √ \(l^{2} + b^{2}\)

d = √ \(10^{2} + 6^{2}\)

= √ 100 + 36

= √ 136

= 11.66

Hope this helps

plz mark as brainliest!!!!!!

PR / Sin(Q) = QR / Sin(P)

53 / Sin(90) = 45 / Sin(P)

53 / 1 = 45 / Sin(P)

Sin(P) = 45 / 53

Sin(P) = 0.8490566038

P = 58.11 degrees

Answer:

58.11°

Step-by-step explanation:

tan P = 45/28 = 1.607

< P = tan`¹ 1.607 = 58.11°

Answer:

The standard, or near-average, atmospheric pressure at sea level on the Earth is 1013.25 millibars, or about 14.7 pounds per square inch.

The gauge pressure in my automobile tires is a little more than twice that value. If you live at a higher altitude, the pressure will be lower since there is less air above weighing down upon you. The pressure also varies by relatively small amounts as high and low pressure systems move past.

Step-by-step explanation:

Answer is 1.7

Formula:

Pressure formula for atmospheric pressure decreases is.

\(p = p' (1 - r)^{x}\)

Here, p' is the atmospheric pressure at earth's surface.

r is the percent value atmospheric pressure decreases

x is the distance above earth's surface.

Here,

Given, p = 11

\(p = 14.7 (1 - (16/100))^{x}\\ p = 14.7 (0.84)^{x}\\\\11 = 14.7(0.84)^{x}\)

\(0.748 = (0.84)^{x}\)

By applying log we get,

x = 1.665

x = 1.7 (Rounded to the nearest tenth).

Learn more about how to calculate logarithms here:

https://brainly.com/question/16763620?referrer=searchResults

#SPJ2

In finance, interest is the cost of borrowing money or the compensation paid to an individual or organization for lending money. It is usually expressed as a percentage of the amount borrowed and is calculated over a specific period of time.

1. To calculate the total interest payment for the first year, follow these steps in Excel:

Step 1: Enter the given values in separate cells.
Loan amount: $250 million in A1
Monthly installment: $5 million in A2
Number of installments: 60 in A3

Step 2: Calculate the monthly interest rate (i) using the RATE function.
In cell A4, type the formula: =RATE(A3, -A2, A1)

Step 3: Calculate the annual interest rate (I) by multiplying the monthly interest rate by 12.
In cell A5, type the formula: =A4*12

Step 4: Calculate the total interest for the first year by multiplying the annual interest rate by the loan amount.
In cell A6, type the formula: =A1*A5
The total interest payment for the first year is approximately $17 million.

2. To calculate the effective interest rate (j12) of the loan, use the following formula in Excel:

In cell A7, type the formula: =(1+A4)^12-1
The effective interest rate (j12) is approximately 7.4% p.a.

3. To calculate the principal repayment during the first year, follow these steps:

Step 1: Calculate the total amount paid in the first year by multiplying the monthly installment by 12.
In cell A8, type the formula: =A2*12

Step 2: Subtract the total interest payment for the first year (calculated in Step 1) from the total amount paid in the first year.
In cell A9, type the formula: =A8-A6
The principal repayment during the first year is approximately $43 million.

To learn more about “interest rate” refer to the https://brainly.com/question/2294792

#SPJ11

Answer:

a. $22.2

b= 13.32/x=3/5

Step-by-step explanation:

13.32/x=3/5

13.32×5=66.6

66.6/3=22.2

x(present cost)=$22.2

Answer:

22.20$

3/5 * cost = 13.32

Step-by-step explanation:

3/5 * cost (total price) = 13.32 (we know that 3/5 of the price is 13.32)

to solve

5/3 to cancel out 3/5 and isolate the cost

5/3 * 13.32 = 22.20