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4 years ago

Pls help me with A, B, C, D

Mathematics

1 answer:

AlekseyPX4 years ago

8 0

Use PEMDAS with the first 3.

a. 3×(6÷5)

3×(1.2) [Parenthesis first]

3.6. [then multiply]

b. 3÷(5×6)

3÷(30) [Parenthesis first]

.1 [then divide]

c. (3×6)÷5

(18)÷5 [Parenthesis first]

3.6 [then divide]

d. 3×6÷5

18÷5 [Left to right]

3.6 [then divide]

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Lana71 [14]

Answer:

The minimum sample size required to create the specified confidence interval is 2229.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

What is the minimum sample size required to create the specified confidence interval

This is n when $M = 0.06, \sigma = 1.1$

$0.06 = 2.575*\frac{1.1}{\sqrt{n}}$

$0.06\sqrt{n} = 2.575*1.1$

$\sqrt{n} = \frac{2.575*1.1}{0.06}$

$(\sqrt{n})^{2} = (\frac{2.575*1.1}{0.06})^{2}$

$n = 2228.6$

Rounding up

The minimum sample size required to create the specified confidence interval is 2229.

7 0

3 years ago

The length of a rectangle is 3ft less than double the width, and the area of the rectangle is 14ft^2 find the dimensions of rect

german

Answer: $4\times 3.5\ ft^2$

Step-by-step explanation:

Given

area of the rectangle is $A=14\ ft^2$

Suppose width is given by w

So, length is $l=2w-3$

The area of a rectangle is $A=l\times w$

putting values

$\Rightarrow A=(2w-3)w\\\Rightarrow 14=2w^2-3w\\\Rightarrow 2w^2-3w-14=0\\\Rightarrow 2w^2-7w+4w-14=0\\\Rightarrow w(2w-7)+2(2w-7)=0\\\Rightarrow (2w-7)(w+2)=0\\\\\Rightarrow w=\dfrac{7}{2}\ ft$

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3 years ago

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miskamm [114]

There are 2001 items in that set.

So n(A) = 2001

We can individually count them all out, which is very slow and tedious, or we can use the formula
n-m+1

where,
m = starting value
n = ending value

In this case,
m = 0
n = 2000
So,
n-m+1 = 2000-0+1 = 2001

This formula only works if we increase the number by 1 each time (eg: 6, 7, 8, etc)

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3 years ago

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3 years ago

I need help problem in the picture below

Firlakuza [10]

Answer:

The answer is three

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