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2 years ago

Choose the equation that satisfies the data in the table.

Mathematics

1 answer:

pychu [463]2 years ago

7 0

The linear equation that satisfy the data in the table is: A. y = −4x − 4.

<h3>How to Find the Linear Equation for a Data in a Table?</h3>

Given the table attached below, find the slope (m) = change in y / change in x using two pairs of values, say, (-1, 0) and (0, -4):

Slope (m) = (-4 - 0)/(0 - (-1)) = -4/1 = -4

Find the y-intercept (b), which is the value of y when x = 0. From the table, when x = 0, y = -4.

b = -4.

Substitute m = -4 and b = -4 into y = mx + b

y = -4x + (-4)

y = -4x - 4

The equation that satisfy the data is: A. y = −4x − 4.

Learn more about the linear equation on:

brainly.com/question/4074386

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A hypothesis will be used to test that a population mean equals 10 against the alternative that the population mean is more than

PilotLPTM [1.2K]

Answer:

A) 2.58

B) 1.96

C) 1.65

Step-by-step explanation:

A hypothesis used to test that

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against the alternatives $H1 : \mu$ not equal to 10

if null hypothesis is true, then distribution of test statics follow

$Zo = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}$

for two sided alternatives hypothesis $( H1: \mu \neq 7)$ , then P value is

$P = 2[1- \phi(\left | Zc \right |)]$ (1)

a)significance level $\alpha = 0.01$

from 1 eq we get

$\pi (\left | Zc \right |) = P(Zo$

Therefore $\left | Zc \right | = 2.58$ FROM Z TABLE

B) significance level $\alpha = 0.05$

from 1st equation we get

$\pi (\left | Zc \right |) = P(Zo < \left | Zc \right |) = 1 - \frac{0.05}{2} = 0.975$

Therefore $\left | Zc \right | = 1.96$ FROM Z TABLE

C) significance level $\alpha = 0.10$

from 1 eq we get

$\pi (\left | Zc \right |) = P(Zo$

Therefore $\left | Zc \right | = 1.65$ FROM Z TABLE

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4 years ago

Select the correct answer from each drop-down menu.

SVETLANKA909090 [29]

She must win the next 8 consecutive games to get 80% and after that loose the next 12 games to get to 50%.

<h3>How to find the probability of winning?</h3>

She has won 8 out of 12 days. Thus, percentage of winning is;

P(winning) = 8/12 * 100%

P(Winning) = 75%

To arrive at 80% winning, it means that the number of extra consecutive games she must win is;

(8 + x)/(12 + x) = 80/100

10(8 + x) = 8(12 + x)

80 + 10x = 96 + 8x

2x = 16

x = 8

Thus, she must win the next 8 consecutive games to get 80%.

For her to get to 50% after that, it means that;

(16 - x)/(20 - x) = 50/100

(16 - x)/(20 - x) = 1/2

2(16 - x) = 20 - x

32 - 2x = 20 - x

x = 12

Read more about Probability of winning at; brainly.com/question/24756209

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3 years ago

The sum of two squares of two consecutive natural numbers is 41.Find the numbers

Arada [10]

<h3><u>AnswEr</u><u> </u><u>:</u></h3>

The 2 unknown numbers are 4 and 5 .

<h3><u>Expla</u><u>nation</u><u> </u><u>:</u></h3>

Let the numbers be x and x + 1.

From the given information,

$\dashrightarrow\sf \ \ \ x^2 + (x + 1)^2 = 41 \\ \\ \\$

$\dashrightarrow\sf \ \ \ 2 {x}^{2} + 2x + 1 = 41 \\ \\ \\$

$\dashrightarrow\sf \ \ \ 2 {x}^{2} + 2x + 1 - 41=0 \\ \\ \\$

$\dashrightarrow\sf \ \ \ {x}^{2} + x - 20 = 0 \\ \\ \\$

$\dashrightarrow\sf \ \ \ (x + 5)(x - 4)=0 \\ \\ \\$

$\dashrightarrow\sf \ \ \ { \underline{ \boxed{ \bf{ \red{x = - 5,4}}}}} \ \bigstar \\ \\$

But, as we know -5 is not a natural number,

Hence, x = 4 .

<u>So the 2 unknown numbers are</u><u> </u><u>:</u>

x = 4 [1st number]

x + 1 = 4 + 1 = 5 [2nd number]

7 0

3 years ago

Read 2 more answers