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3 years ago

Can someone please walk me through this? I’m confused xD

Mathematics

1 answer:

mixas84 [53]3 years ago

3 0

The length is two inches less than five times the width. This means

Length (L) = 5w - 2. (Does this make sense? You calculate 5 times the width and then minus 2)

Then we know the perimeter of a rectangle is 2(L+w) so
Perimeter = 2(5w-2 + w) = 2(6w-2) = 12w - 4 (so C and D are both correct because they are equal)

We check the other two options manually,
A: 2(5w-2)+2w = 10w-4+2w = 12w - 4 (so A is correct because it equals D which also equals C)
B: w+w+5w+5w-2 = 12w - 2 (which does not equal any of the other options)

So correct answers are A, C and D because they are all equal.

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The standard deviation of the sampling distribution of the sample mean is $115,000. The population standard deviation was $25,00

Zina [86]

Answer:

0.31084

Step-by-step explanation:

When given a question where by a random sample is chosen for the population, the z score formula used =

z = (x-μ)/Standard error

where x is the raw score

μ is the population mean

Standard error = σ/√n,

σ is the population standard deviation

n = number of samples

For x = $114,000, μ = $115,000, σ = 25,000, n = 100

z = (x-μ)/Standard error

= z = (x-μ)/ σ/√n

z = 114,000 - 115,000/ 25,000/√100

= -1000/25,000/10

= -1000/2500

z = -0.4

Determining the probability value from Z-Table:

P(x = 114000) = P(z = -0.4)

= 0.34458

For x = $116,000, μ = $115,000, σ = 25,000, n = 100

z = (x-μ)/Standard error

= z = (x-μ)/ σ/√n

z = 116,000 - 115,000/ 25,000/√100

= 1000/25,000/10

= 1000/2500

= 0.4

Determining the Probability value from Z-Table:

P(x = 116000) = P(z = 0.4)

= 0.65542

The probability that the sample mean selling price was between $114,000 and $116,000 is calculated as

= P(114,000< x < 116,000)

= P(-Z<x<Z)

= P(-0.4<x< 0.4

= 0.65542 - 0.34458

= 0.31084

Therefore, the probability that the sample mean selling price was between $114,000 and $116,000 is 0.31084

5 0

2 years ago

Write two equivalent fractions 4/6

antoniya [11.8K]

4/6

4/6 = 2/3
4/6 = 8/12

Answer : 2/3 and 8/12

7 0

3 years ago

Read 2 more answers

State the equation of the line that is perpendicular to 4x-3y=10 through the point (-2,4)

Lynna [10]

The equation of the line that is perpendicular to 4x - 3y = 10 through the point (-2,4) is $y-4=\frac{-3}{4}(x+2)$

Solution:

Given, line equation is 4x – 3y = 10

We have to find a line that is perpendicular to 4x – 3y = 10 and passing through (-2, 4)

Now, let us find the slope of the given line,

$\text { Slope of a line }=\frac{-\mathrm{x} \text { coefficient }}{\mathrm{y} \text { coefficient }}=\frac{-4}{-3}=\frac{4}{3}$

We know that, slope of a line $\times$ slope of perpendicular line = -1

$\begin{array}{l}{\text { Then, } \frac{4}{3} \times \text { slope of perpendicular line }=-1} \\\\ {\rightarrow \text { slope of perpendicular line }=-1 \times \frac{3}{4}=-\frac{3}{4}}\end{array}$

Now, slope of our required line = $\frac{-3}{4}$ and it passes through (-2, 4)

The point slope form is given as:

$\begin{array}{l}{y-y_{1}=m\left(x-x_{1}\right) \text { where } m \text { is slope and }\left(x_{1}, y_{1}\right) \text { is point on the line. }} \\\\ {\text { Here in our problem, } m=-\frac{3}{4}, \text { and }\left(x_{1}, y_{1}\right)=(-2,4)} \\\\ {\text { Then, line equation } \rightarrow y-4=-\frac{3}{4}(x-(-2))}\end{array}$

$y-4=\frac{-3}{4}(x+2)$

Hence the equation of line is found out

6 0

2 years ago

Which graph represents Y as a function of x?

sattari [20]

Answer:

Step-by-step explanation:

a "function" gives every x value exactly one y value.

A, B and C all have 2 or more y values for an x value.

use e.g. a pen and place it vertically (straight top-down, parallel to the y-axis) on the graphs.

how often does the pen intersect the function curve ?

that is what I am talking about.

if it is more than once, than the x value (the point on the x-axis), where you put your pen, has more than 1 y values.

and that is then not a function.

only D is a function. the pen intersects with the function curve only once, no matter where you put the vertical pen.

7 0

11 months ago

Which pair of numbers is relatively prime?

AnnZ [28]

The answer is C, as both numbers are only both divisible by 1.

6 0

2 years ago

Read 2 more answers