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3 years ago

How do i complete the square for this equation ? x^2+ 8x+y^2-2y=64

1 answer:

4 0

<span>Simplifying x2 + 8x + y2 + -2y = 64
Reorder the terms: 8x + x2 + -2y + y2 = 64 Solving 8x + x2 + -2y + y2 = 64 Solving for variable 'x'.
Reorder the terms: -64 + 8x + x2 + -2y + y2 = 64 + -64
Combine like terms: 64 + -64 = 0 -64 + 8x + x2 + -2y + y2 = 0

The solution to this equation could not be determined.</span>

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Move two choices to the blanks to correctly complete the sentences.

Pavel [41]

Answer:

(A) There should have been 5 outcomes of HT

(B) The experimental probability is greater than the theoretical probability of HT.

Step-by-step explanation:

Given

$S = \{HH,HT,TH,TT\}$ -- Sample Space

$n(S) = 4$ --- Sample Size

Solving (a); theoretical outcome of HT in 20 tosses

First, calculate the theoretical probability of HT

$P(HT) = \frac{n(HT)}{n(S)}$

$P(HT) = \frac{1}{4}$

Multiply this by the number of tosses

$P(HT) * n= \frac{1}{4} * 20$

$P(HT) * n= 5$

Solving (b); experimental probability of HT

Here, we make use of the table

$P(HT) = \frac{n(HT)}{n(S)}$

$P(HT) = \frac{6}{20}$

$P(HT) = 0.30$ ---- Experimental Probability

In (a), the theoretical probability is:

$P(HT) = \frac{1}{4}$

$P(HT) = 0.25$ ---- Experimental Probability

By comparison;

$0.30 > 0.25$

6 0

3 years ago

What is the volume of the rectangular prism?

lara31 [8.8K]

1/2^3=1/8
we have 30 of them so
30.1/8=30/8 => 3 and 6/8 or 3 and 3/4 if simplified

6 0

1 year ago

A soda manufacturer knows that sales of soda increase during the summer. To make sure that they get a large portion of the sales

Maslowich

Answer:

a.) Probability = 1/5

b.) 10 soda

Step-by-step explanation:

Probability is a game of chance.

The initial chance = 1/12

If Lucky Lucy bought five sodas and won a free one with four of the caps. The probability of that happening will be 1/5

Having a greater than 50% chance of winning a free soda means having probability greater than half. That is,

Probability > 1/2

You would have to buy (12 - 2) soda. Which is equal to 10.

6 0

3 years ago

Bamboo plants grow rapidly. A bamboo plant is 130 inches tall. Tomorrow it will be 143 inches tall, the next day it will be 156

tensa zangetsu [6.8K]

An arithmetic sequence has a common difference.
143 - 130 = 13
156 - 143 = 13
169 - 156 = 13
The common difference is 13.

a1 = 130
a2 = 130 + 13
a3 = 130 + 2 * 13
a4 = 130 + 3 * 13
...
an = 130 + (n - 1) * 13

an = 130 + 13(n - 1)

an = 130 + 13n - 13

an = 117 + 13n

an = 13n + 117

4 0

3 years ago

Kate wants to buy a new bicycle from a sporting goods store. The bicycle she wants normally sells for $800. The store has a sale

klio [65]

Answer:

700 dollars.

Step-by-step explanation:

The sale price is basically the new price of the bycicle. Therefore, is all bycicles cost 7/8 of their normal value, $\frac{7}{8} (800)=700$ . So during this sale at the sporting goods store, the bycicle would cost 700 dollars.

7 0

2 years ago

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