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3 years ago

What is the answer to 2.5n= -10

Mathematics

2 answers:

I am Lyosha [343]3 years ago

7 0

Answer:

The answer is N= -4

Step-by-step explanation:

Step 1: Divide 2.5 by 2.5, and it cancels out.

Step 2: Now divide 2.5 by -10, because what you do to one side you must do to the other, and you should get n= -4

Model:

2.5n= -10

2.5n/2.5= -10/2.5

n= -4

yarga [219]3 years ago

5 0

Answer:

n = -4

Step-by-step explanation:

2.5n = -10

2.5n / 2.5 = -10 / 2.5

n = -4

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6y - 12 = -3x. Write in standard form

bulgar [2K]

3x+6y=12
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4 years ago

Need help with this question

mixer [17]

Hey there!!

How do we find the equation of a line ?

Ans : We take the slope and the y - intercept and get them together.

How do you find slopes?

Ans - In order to find slop, we will need to use the slop formula which is

( y₂ - y₁ ) / ( x₂ - x₁ )

The two points shown in the above question are

( 4 , -8 ) and ( 8 , 5 )

y₂ = 5 , y₁ = -8 and x₂ = 8 , x₁ = 4

Now plug in the values:

( 5 + 8 ) / ( 8 - 5 )

13 / 3

Hence, the slope is 13/3

The basic formula : y = mx + b

Where b is the y-intercept and m is the slope.

We have found the slope, hence, the formula would become

... y = 13/3 x + b

Now take a coordinate and substitute it .

I will take ( 8 , 5 )

x = 8 and y = 5

Now plug in the values

... 5 = 13/3 × 5 + b

... 5 = 65/3 + b

Subtract 65/3 on both sides

... 5 - 65/3 = b

... -50/3 = b

Hence, the y-intercept is -50/3

Now plug in all the values to get the total equation...

The final equation : y = 13x/3 - 50/3

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3 0

3 years ago

What is the length of segment AD? Round your answer to the nearest hundredth. triangles ABC and ABD in which the triangles share

igomit [66]

Answer: 5.83 units

Step-by-step explanation:

Sketching the data above,

Length of segment AD can be computed using Pythagoras rule ;

Where segment AD = hypotenuse

Segment AB = 3 = opposite

Sin Θ = opposite / hypotenuse

Sin 31° = 3 / hypotenuse

Hypotenuse × 0.5150380 = 3

Hypotenuse = 3 / 0.5150380

Hypotenuse = 5.8248120 units

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3 0

4 years ago

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When the sample size and the sample proportion remain the same, a 90 percent confidence interval for a population proportion p w

deff fn [24]

Answer:

A 90% confidence interval for p will be narrower than the 99% confidence interval.

Step-by-step explanation:

The formula to compute the (1 - α) % confidence interval for a population proportion is:

$CI=\hat p\pm z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Here $\hat p$ is the sample proportion.

The margin of error of the confidence interval is:

$MOE= z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The MOE is dependent on:

Confidence level
Standard deviation
Sample size

The MOE is directly related to the confidence level and standard deviation.

So if any of the two increases then the MOE also increases, thus widening the confidence interval.

And the MOE is inversely related to the sample size.

So if the sample increases the MOE decreases and vice versa.

It is provided that the sample size and the sample proportion are not altered.

The critical value of z for 90% confidence level is:

$z_{\alpha/2}= z_{0.10/2}=z_{0.05}=1.645$

And the critical value of z for 99% confidence level is:

$z_{\alpha/2}= z_{0.05/2}=z_{0.05}=1.96$

So as the confidence level increases the critical value increases.

Thus, a 90% confidence interval for p will be narrower than the 99% confidence interval.

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3 years ago

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loris [4]

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3 years ago

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