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wlad13 [49]
3 years ago
6

What is an equation of the line that passes through the point (5, 4) and is parallel to

Mathematics
1 answer:
Fofino [41]3 years ago
6 0

Answer:

6x - 5y does not change as it is parallel so I put x = 5 & y = 4 in this equation and the result is 6 × 5 - 5 × 4 = 30 - 20 = 10 so the parallel equation is 6x - 5y = 10

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Evaluate. <br><br> −7×(−6)×5=<br> -7×(-6)×5=<br> ______
Lunna [17]

Answer:

210

Step-by-step explanation:

double negatives = positive

-7 * -6 * 5 = 7 * 6 * 5 = 42* 5 = 210

7 0
3 years ago
Allen�s hummingbird (Selasphorus sasin ) has been studied by zoologist Bill Alther A small group of 15 Allen� s hummingbirds has
Bogdan [553]

Answer:

1) 80% CI: [3.04; 3.26]gr

d= 0.11

2) n= 28 hummingbirds

Step-by-step explanation:

Hello!

The study variable of this experiment is:

X: the weight of a hummingbird. (gr)

And it has a normal distribution, symbolically: X~N(μ;σ²)

And (I hope I got it correctly) its population standard deviation is σ= 0.33

There was a sample of n= 15 hummingbirds taken, its sample mean X[bar]= 3.15 gr

1) You need to construct an 80% Confidence Interval for the population mean of the hummingbird's weight.

Since the study variable has a normal distribution, you can use either the standard normal distribution or the Student's t distribution. Both are useful to estimate the population mean. Since the population standard variance is known, the best choice is the Standard normal.

Z= <u> X[bar] - μ </u>~ N(0;1)

       σ/√n

The formula for the interval is:

X[bar] ± Z_{1- \alpha /2} * (σ/√n)

Z_{1- \alpha /2}= Z_{0.90} = 1.28

3.15 ± 1.28 * (0.33/√15)

[3.04; 3.26]gr

The margin of error (d) of a confidence interval is hal its amplitude (a)

a= Upper bond - Lower bond

d= (Upper bond - Lower bond)/2

d= \frac{(3.26-3.04)}{2} = 0.11

2) You need to calculate a sample size for a 80% Confidence interval for the average weight of the hummingbirds with a margin of error of d= 0.08

As I said before, the margin of error is half the amplitude of the interval, the formula you use to estimate the population mean has the following structure:

"point estamator" ± "margin of error"

Then the margin of error is:

d= Z_{1- \alpha /2} * (σ/√n)

Now what you have to do is rewrite the formula based on the sample size

d= Z_{1- \alpha /2} * (σ/√n)

\frac{d}{Z_{1- \alpha /2}}= σ/√n

√n * \frac{d}{Z_{1- \alpha /2}}= σ

√n = σ * \frac{Z_1- \alpha /2}{d}

n = (σ * \frac{Z_1- \alpha /2}{d})²

n=  (0.33 * \frac{1.28}{0.08})²

n= 27.8784 ≅ 28 hummingbirds.

I hope it helps!

4 0
3 years ago
4. Order the set of numbers from least to greatest: (4 points)
Oliga [24]

Answer:

Sorry to waist your time but no one would know this not even the person who made the question.

Step-by-step explanation:

5 0
3 years ago
Drag numbers to write an equation for the line in slope-intercept form. Numbers may be used once, more than once, or not at all.
vfiekz [6]

Answer:

y = -4x + 5

Step-by-step explanation:

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The general form is;

y = mx + b

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this is ;

m = (y2-y1)/(x2-x1)

(x1,y1) = (0,5)

(x2,y2) = (2,-3)

m = (-3-5)/(2-0) = -8/2 = -4

To get the y-intercept we simply substitute one of the points

But we know that the y-intercept is the y-value when x = 0

From the point we can see (0,5) which means that the y-intercept is 5

so the equation of the line is;

y = -4x + 5

7 0
3 years ago
Rewrite the the expression using as few terms as possible. X^2+5x+4x+20
Effectus [21]

Answer:

x^2 + 9x + 20

Step-by-step explanation:

x^2 + 5x + 4x + 20

x^2 + 9x + 20

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8 0
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