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Sunny_sXe [5.5K]
3 years ago
7

Write the point -slope form of the equation of each line given the slope and y-intercept. Slope=(2/3), y-intercept =0

Mathematics
1 answer:
MakcuM [25]3 years ago
6 0

Answer:

\large\boxed{y-0=\dfrac{2}{3}(x-0)\to y=\dfrac{2}{3}x}

Step-by-step explanation:

The point-slope form of ane equation of a line:

y-y_1=m(x-x_1)

<em>m</em><em> - slope</em>

<em>(x₁, y₁)</em><em> - point on a line</em>

<em />

We have:

m=\dfrac{2}{3}

y-intercept is for x = 0.

Therefore, if y-intercept = 0, then we have the point (0, 0).

y-intercept=0\to(0,\ 0)

Substitute:

y-0=\dfrac{2}{3}(x-0)\to y=\dfrac{2}{3}x

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300/200 as a terminating decimal.
Tomtit [17]

Answer:

1 100/200

Step-by-step explanation:

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3 years ago
Read 2 more answers
A positive real number is 5 more than another. When - 10 times the smaller is added to the square of the larger, the result is 5
salantis [7]

Answer:

4√2 and 5+4√2

Step-by-step explanation:

Let the two numbers be x ad y

Smaller = y

Bigger = x

If a positive real number is 5 more than another, then;

x = 5 + y ... 1

When - 10 times the smaller is added to the square of the larger, the result is 57, then;

-10y + x² = 57 ...2

Substitute 1 into 2;

-10y + (5+y)² = 57

-10y + 25+10y+y² = 57  

y²+25 = 57

y² = 57 - 25

y² = 32

y = √32

y = 4√2

Since x = 5 + y

x = 5 + 4√2

Hence rhe numbers are 4√2 and 5+4√2

8 0
2 years ago
We have five samples of data: sample A with 30 successes of 50 cases, sample B with 600 successes of 1000 cases, sample C with 3
faust18 [17]

Answer:

C. with 3000 successes of 5000 cases sample

Step-by-step explanation:

Given that we need to test if the proportion of success is greater than 0.5.

From the given options, we can see that they all have the same proportion which equals to;

Proportion p = 30/50 = 600/1000 = 0.6

p = 0.6

But we can notice that the number of samples in each case is different.

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size

po = Null hypothesized value

p^ = Observed proportion

Since all other variables are the same for all the cases except sample size, from the formula for the test statistics we can see that the higher the value of sample size (n) the higher the test statistics (z) and the highest z gives the strongest evidence for the alternative hypothesis. So the option with the highest sample size gives the strongest evidence for the alternative hypothesis.

Therefore, option C with sample size 5000 and proportion 0.6 has the highest sample size. Hence, option C gives the strongest evidence for the alternative hypothesis

3 0
3 years ago
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Answer:

option b is the correct answer of given statement

Step-by-step explanation:

percent of SSSSD strings

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2 years ago
Find the volume of the figure. Round to 3 decimal places.
Digiron [165]

Answer:

v= 360

Step-by-step explanation:

v= ( l w h) / 3

v= ( 12 * 6  * 15 ) / 3

v = 1080/ 3

v=360

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