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3 years ago

Explain why the expression 10 to the power of zero, one to the power of four and 1×1.0 to the power of zero have the same value

Mathematics

1 answer:

Nina [5.8K]3 years ago

3 0

Answer:

10*0=1, according to the law of indices which states that anything to the zero power is equal to one

1*4=1×1×1×1=1

1×1.0=1.0=1

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University dean is interested in determining the proportion of students who receive some sort offinancial aid. rather than exami

vladimir2022 [97]

The confidence interval is
$0.59\pm0.081$

We first find p, our sample proportion. 118/200 = 0.59.

Next we find the z-score associated with this level of confidence:
Convert 98% to a decimal: 98% = 98/100 = 0.98
Subtract from 1: 1-0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 2.33.

The margin of error (ME) is given by
$ME=z\sqrt{\frac{p(1-p)}{n}}
\\
\\=2.33\sqrt{\frac{0.59(1-0.59)}{200}}=2.33\sqrt{\frac{0.2419}{200}}\approx0.081$

This gives us the confidence interval
$0.59\pm0.081$

8 0

4 years ago

What is the equation of the line that passes through the points (6,8) and (-3,2)

Vikki [24]

The point-slope form:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (6, 8) and (-3, 2). Substitute:

$m=\dfrac{2-8}{-3-6}=\dfrac{-6}{-9}=\dfrac{2}{3}\\\\y-8=\dfrac{2}{3}(x-6)\qquad|\text{use distributive property}\\\\y-8=\dfrac{2}{3}x-4\qquad|+8\\\\y=\dfrac{2}{3}x+4\qquad|-\dfrac{2}{3}x\\\\-\dfrac{2}{3}x+y=4\qquad|\cdot(-3)\\\\2x-3y=-12$

Answer:

point-slope form: $y-8=\dfrac{2}{3}(x-6)$

slope-intercept form: $y=\dfrac{2}{3}x+4$

standard form: $2x-3y=-12$

8 0

3 years ago

Romeo is using a common algorithm to find the product of 8,125 × 9. Drag the correct numbers to the problem to show the partial

Sedaia [141]

Answer:

the answer is

Step-by-step explanation:

....

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3 years ago

4(2+3)-[7-[4-(8+5)]can you help me with this question

Gnesinka [82]

4(2 + 3) - [7 - [4 - (8 + 5)]]

First, do the parentheses:

4(5) - [7 - [4 - 12]]

Then complete the rest from the inside out:

20 - [7 - (-8)]

20 - 15 = 5

7 0

3 years ago

Read 2 more answers

Use the distributive property.<br> Simplify the expression below.<br> 5(x - 2) =_-_

olga nikolaevna [1]

<h2>Hey there! </h2><h3>Formula:</h3><h3> $\bold{a(b +c)}$ </h3><h3> $\bold{a(b) + a(c)}$ </h3><h3> $\bold{= \ ab + ac}$ </h3><h3>DISTRIBUTE $\bold{5}$ within the $\bold{parentheses}$ </h3><h3> $\bold{5(x -2)}$ </h3><h3> $\bold{5(x) + 5(-2)}$ </h3><h3> $\bold{5(x)=5x}$ </h3><h3> $\bold{5(-2) = -10}$ </h3><h3>FINALLY: $\boxed{\boxed{\bold{Answer: 5x - 10}}}\checkmark$ </h3><h2>Good luck on your assignment and enjoy your day!</h2>

~ $\frak{LoveYourselfFirst:)}$

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3 years ago