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SashulF [63]
3 years ago
6

A rectangle is 7 feet long by 5 feet wide. If 3 feet are removed from the length of the rectangle, what would be the area, in sq

uare feet, of the new rectangle?
Mathematics
1 answer:
katrin [286]3 years ago
6 0
The answer to your question would be 25 sq ft
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The director of the library believes that 14% of the library's collection is checked out. If the director is right, what is the
Ksivusya [100]

Answer: 0.2643

Step-by-step explanation:

Let p be the population proportion and \hat{p} be the sample proportion .

As per given question , we have

p=0.14\\\\ \hat{p}=0.13\\\\ n=478

z-score : \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.13-0.14}{\sqrt{\dfrac{0.14(1-0.14)}{478}}}\\\\=-0.630087269176\approx-0.63

The required probability ( using z-table ):-

P(z

Hence, the probability that the proportion of books checked out in a sample of 478 books would be less than 13% = 0.2643

5 0
4 years ago
A newspaper wants to estimate the proportion of Americans who will vote for Candidate A. A random sample of 1000 voters is selec
masya89 [10]

Answer:

the excel that would be used to construct a confident interval estimate is (A) NORM.S.INV

Step-by-step explanation:

NORM>S>INV returns the of the standard normal cumulative distribution.

4 0
3 years ago
 What are the similarities and differences between the standard form and vertex form of a quadratic equation?
aniked [119]

Step-by-step explanation:

Standard form is ax^2 + bx + c. Vertex form is a(x-h)^2 + k, which reveals the vertex and axis of symmetry. Factored form is a(x-r)(x-s), which reveals the roots.

6 0
3 years ago
What is the equation of the line through 4.2 and 0, -2?
MissTica

Answer:

y = x-2

Step-by-step explanation:

y = mx + b as an equation

m = slope

slope = (change in y) / (change in x) = (y₂-y₁)/(x₂-x₁) = (y₁-y₂)/(x₁-x₂) = (2-(-2))/(4-0) = 4/4 = 1

y = 1*x + b

plug a value in, e.g. (0, -2)

-2 = 1 * 0 + b

-2 = b

our equation is thus

y = x - 2

7 0
2 years ago
Have you ever devised a way to solve a problem? How?
lukranit [14]

Answer:

What kind of problem?

Step-by-step explanation:

7 0
3 years ago
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