MATHEMATICS COLLEGE

Plz help I don’t get it

Answers

Answer 1
Answer:

Answer:there is nothing attached

Step-by-step explanation:

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1. A cab driver charges a flat rate of $7 for the first mile driven and $2 for every mile after that. If thecost of the cab ride is modeled by the expression 7 + 2(x - 1). What does (x - 1) represent?

Answers

Answer:

The number of miles driven after

Step-by-step explanation:

is how much they charge flat out

2 dollars for each mile after the first

x-1 tells you how many miles they have driven after the first

Let A-10, 1, 2, 3, 4, 5,6), let B = 10, 1, 2, 3, 4, 5,6, 7,8), and let R be the relation from A to B given by "the greatest common divisor of a and b is 2." [Note: "greatest common divisor" is sometimes called "highest common factor"] List the elements of R.

Answers

Answer:

R = {(10,2), (10,4), (10,6), (10,8), (2,10), (2,2), (2,4), (2,6), (2,4), (4,10), (4,2), (4,6), (6,10), (6,2), (6,4), (6,8)}

Step-by-step explanation:

A = (10, 1, 2, 3, 4, 5, 6)

B = (10, 1, 2, 3, 4, 5, 6, 7, 8)

R is a relation and defined as

R: A→B

R: The greatest common divisor of a and b is 2

To find the elements of R we need to find pair from A and B respectively.

R = {(10,2), (10,4), (10,6), (10,8), (2,10), (2,2), (2,4), (2,6), (2,4), (4,10), (4,2), (4,6), (6,10), (6,2), (6,4), (6,8)}

Now, these pairs were found by picking one element from A and checking with elements of B if they have a gcd of 2. If yes, they fall under the defined relation.

Please Help !!!The line above goes through points (-5,5) and (0,3). What is the slope-intercept form of the equation of the line above?


A. y = (-5/2)x - 3

B. y = (-2/5)x + 3

C. y = (-2/5)x - 3

D. y = (2/5)x + 3

Answers

Answer:

B

Step-by-step explanation:

The equation we must find is in y = mx + b form. We are given that it intercepts (0,3), so the y-intercept it 3 and b = 3. We can find the slope with the two points we are given: m = (3-5)/(0(-5)) = -2/5. Substituting these values, we find: y = (-2/5)x + 3

A Pew Internet poll asked cell phone owners about how they used their cell phones. One question asked whether or not during the past 30 days they had used their phone while in a store to call a friend or family member for advice about a purchase they were considering. The poll surveyed 1003 adults living in the United States by telephone. Of these, 462 responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering.A) Identify the sample size and the count.
B) Calculate the sample proportion.
C) Explain the relationship between the population proportion and the sample proportion.

Answers

Answer:

Given:

n = 1003

p' = (462)/(1003) = 0.4606

q = 1 - 0.4606 = 0.5394

a) The sample size and count.

Here the sample size is the number that took part in the poll. It is denoted as n = 1003.

The count is the number that answered yes. Count = 462

b) The sample proportion.

The formula for sample proportion is: p' = (x)/(n)

Therefore, sample proportion =

p' = (462)/(1003) = 0.4606

c) The relationship between population proportion and sample proportion.

Since the sample size is greater than 30 (n>30), the sample size is large. Hence, for a large sample, the population proportion is approximately equal to the sample proportion.

This means the population proportion, p = 0.4606

Answer:

A) Sample size n=1003

Count x=462

B) Sample proportion p=0.46

C) The population proportion can be estimated with a confidence interval, with the information given by the sample proportion.

The 95% confidence interval for the population proportion is (0.429, 0.491).

Step-by-step explanation:

A) The sample size include all the adult that answer the poll. The sample size is then n=1003.

The count is the number of adults that answer Yes in this case. The count is x=462.

B) The sample proportion can be calculated dividing the count by the sample size:

p=(x)/(n)=(462)/(1003)=0.46

C) The population proportion is not known. It can only be estimated with the information given by samples of that population. The statistical inference is the tool by which the sample information can be used to estimate the population characteristics.

With the sample proportion p we can estimate a confidence interval for the population proportion.

We can calculate a 95% confidence interval.

The standard error of the proportion is:

\sigma_p=\sqrt{(p(1-p))/(n)}=\sqrt{(0.46*0.54)/(1003)}\n\n\n \sigma_p=√(0.00025)=0.0157

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=1.96 \cdot 0.0157=0.031

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.46-0.031=0.429\n\nUL=p+z \cdot \sigma_p = 0.46+0.031=0.491

The 95% confidence interval for the population proportion is (0.429, 0.491).

We have 95% that the population proportion is within this interval

A washer and a dryer cost $857 combined. The washer costs $93 less than the dryer. What is the cost of the dryer?

Answers

The cost of the dryer is $475 and the cost of the washer is $382.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, a washer and a dryer cost $857 combined.

Let the cost of dryer be x.

The washer costs $93 less than the dryer.

Then, the cost of washer will be x-93

So, x+x-93=857

2x=857+93

2x=950

x=$475

x-93=475-93

= $382

Hence, the cost of the dryer is $475.

To learn more about an equation visit:

brainly.com/question/14686792.

#SPJ2

Answer:

Dryer cost $475;  Washer cost $382

Step-by-step explanation:

For this problem, we will simply set up a system of equations to find the value of each the washer (variable x) and the dryer (variable y).

We are given the washer and dryer cost $857 together.

x + y = 857

We are also given that the washer cost $93 less than the dryer.

x = y - 93

So to find the cost of the dryer, we simply need to find the value of y.

x + y = 857

x = y - 93

( y - 93 ) + y = 857

2y - 93 = 857

2y = 950

y = 475

So now we have the value of the dry to be $475.  We can check this by simply plugging in the value and see if it makes sense.

x + y = 857

x + 475 = 857

x = 382

And check this value:

x = y - 93

382 ?= 475 - 93

382 == 382

Therefore, we have found the values of both the washer and the dryer.

Cheers.

Show that W is a subspace of R^3.

Answers

Answer:

Check the two conditions of Subspace.

Step-by-step explanation:

If W is a Subspace of a vector space, V then it should satisft the following conditions.

1) The zero element should be in W.

Zero element can be different for different vector spaces. For examples, zero vector in $ \math{R^2} $ is (0, 0) whereas, zero element in $ \math{R^3} $ is (0, 0 ,0).

2) For any two vectors, $ w_1 $ and $ w_2 $ in W, $ w_1 + w_2 $ should also be in W.

That is, it should be closed under addition.

3) For any vector $ w_1 $ in W and for any scalar, $ k $ in V, $ kw_1 $ should be in W.

That is it should be closed in scalar multiplication.

The conditions are mathematically represented as follows:

1) 0$ \in $ W.

2) If $ w_1 \in W; w_2 \in W $ then $ w_1 + w_2 \in W $.

3) $ \forall k \in V, and \hspace{2mm} \forall w_1 \in W \implies kw_1 \in W

Here V = $ \math{R^3} $ and W = Set of all (x, y, z) such that $ x - 2y + 5z = 0 $

We check for the conditions one by one.

1) The zero vector belongs to the subspace, W. Because (0, 0, 0) satisfies the given equation.

i.e., 0 - 2(0) + 5(0) = 0

2) Let us assume $ w_1 = (x_1, y_1, z_1) $ and $ w_2 = (x_2, y_2, z_2) $ are in W.

That means: $ x_1 - 2y_1 + 5z_1 = 0 $ and

$ x_2 - 2y_2 + 5z_2 = 0 $

We should check if the vectors are closed under addition.

Adding the two vectors we get:

$ w_1 + w_2 = x_1 + x_2 - 2(y_1 + y_2) + 5(z_1 + z_2) $

$ = x_1 + x_2 - 2y_1 - 2y_2 + 5z_1 + 5z_2 $

Rearranging these terms we get:

$ x_1 - 2y_1 + 5z_1 + x_2 - 2y_2 + 5z_2 $

So, the equation becomes, 0 + 0 = 0

So, it s closed under addition.

3) Let k be any scalar in V. And $ w_1 = (x, y, z) \in W $

This means $ x - 2y + 5z = 0 $

$ kw_1 = kx - 2ky + 5kz $

Taking k common outside, we get:

$ kw_1 = k(x - 2y + 5z) = 0 $

The equation becomes k(0) = 0.

So, it is closed under scalar multiplication.

Hence, W is a subspace of $ \math{R^3} $.
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