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1 year ago

Nathan is planning to ride his bike for 24 minutes. If he rides at a rate of 3 miles per hour, how far will he travel?

Mathematics

2 answers:

Sladkaya [172]1 year ago

7 0

Answer:

8 miles

Step-by-step explanation:

evablogger [386]1 year ago

5 0

Answer:

1.2 miles in 24 minutes

Step-by-step explanation:

3 miles per hour = .05 miles per minute

24 x 0.05 = 1.2

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Tyrone and Terri both bought sofas with installment loans. Tyrone bought a sofa with a

Minchanka [31]

Answer:

Tyrone paid the higher markup rate.

Step-by-step explanation:

Tyrone and Terri both bought sofas with installment loans.

Tyrone bought his own with a sticker price of $1350 by paying $74 a month for 24 months. Therefore,

74 × 24 = $1776

The mark up = $1776 - $1350 = $426

Tyrone markup rate = 426/24 = $17.75 per month

Terri bought his own with sticker price of $950 by paying $52 a month for 24 months. Therefore,

52 × 24 = $1248

mark up = $1248 - $950 = $298

Terri markup rate = 298/24 = $12.4166666667 = $12.42 per month

6 0

1 year ago

Joe wants to enlarge the rectangular pumpkin patch located on his farm. The pumpkin patch is currently 40 meters wide and 60 met

den301095 [7]

Answer:

The area of new pumpkin patch is $Area_2$ = 15 x² + 380 x + 2400

Step-by-step explanation:

Given as :

The length of rectangular patch = L = 40 meters

The width of rectangular patch = W = 60 meters

So, The area of rectangular patch = Length × Width

Or, $Area_1$ = L × W

So , $Area_1$ = 40 meters × 60 meters

Or, $Area_1$ = 2400 meters²

Again The Width of new Patch = ( 40 + 3 x ) meter

And The Length of new Patch = ( 60 + 5 x ) meter

Or, $Area_2$ = L × W

So , $Area_2$ = ( 40 + 3 x ) meters × ( 60 + 5 x ) meters

Or, $Area_2$ = 2400 + 200 x + 180 x + 15 x²

Or, $Area_2$ = 15 x² + 380 x + 2400

Hence The area of new pumpkin patch is $Area_2$ = 15 x² + 380 x + 2400 Answer

8 0

1 year ago

From past experience, a company has found that in carton of transistors: 92% contain no defective transistors 3% contain one def

jasenka [17]

Answer:

$E(X) = 0*0.92 + 1*0.03 +2*0.03 +3*0.02 = 0.1500$

In order to find the variance we need to find first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = 0^2*0.92 + 1^2*0.03 +2^2*0.03 +3^2*0.02 = 0.3300$

The variance is calculated with this formula:

$Var(X) = E(X^2) -[E(X)]^2 = 0.33 -(0.15)^2 = 0.3075$

And the standard deviation is just the square root of the variance and we got:

$Sd(X) = \sqrt{0.3075}= 0.5545$

Step-by-step explanation:

Previous concepts

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).

Solution to the problem

LEt X the random variable who represent the number of defective transistors. For this case we have the following probability distribution for X

X 0 1 2 3

P(X) 0.92 0.03 0.03 0.02

We can calculate the expected value with the following formula:

$E(X) = \sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$E(X) = 0*0.92 + 1*0.03 +2*0.03 +3*0.02 = 0.1500$

In order to find the variance we need to find first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = 0^2*0.92 + 1^2*0.03 +2^2*0.03 +3^2*0.02 = 0.3300$

The variance is calculated with this formula:

$Var(X) = E(X^2) -[E(X)]^2 = 0.33 -(0.15)^2 = 0.3075$

And the standard deviation is just the square root of the variance and we got:

$Sd(X) = \sqrt{0.3075}= 0.5545$

8 0

2 years ago

High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capa

Misha Larkins [42]

Answer:

The correct answer is that a student have to score 1.41 standard deviations above the mean to be publicly recognized.

Step-by-step explanation:

For answering the question, we don't know the score mean of the National Financial Capability Challenge Exam and neither the population or number of students who take the exam. The only information provided is that the public recognition in this normal distribution is only for students that scores in the top 8%. In other words for students above 92% of the population.

With this information, we can go to a Z Score Table and check that for being on the top 8% (above the 92% of any population), your result must be 1.405 standard deviations above the mean.

Rounding the answer to 2 decimal places, it's 1.41 standard deviations above the mean.

7 0

1 year ago

A circular city plaza is surrounded by a row of bricks. The area of the plaza is 1,520 square meters. How long is the row of bri

Korolek [52]

Answer:

138 meters

Step-by-step explanation:

step 1

Find the radius of the circular city plaza

The area is equal to

$A=\pi r^{2}$