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Julli [10]
3 years ago
6

Write the equation in standard form of a line that is parallel to the graph of 2x + y = 5 and whose y - intercept is (0,4).

Mathematics
1 answer:
babunello [35]3 years ago
5 0

The line that is parallel to this line will have the same slope of this line, as the two will never intersect. They will run side by side. The line y = 2x - 5 is written in slope-intercept form, which is y = mx + b. The value of m represents the slope, and in this equation m = 2. Therefore, the line we are looking for will have a slope of 2 also.

That line should also be in slope-intercept form. We now know the value of m, but we also know the value of x and y. The ordered pair (8, 10) is a point on the line, and every ordered pair is in the form (x, y). Therefore, x = 8 and y = 10. We can plug those values into y = mx + b, along with m = 2. That gives us:

10 = 2(8) + b We need to solve for b.

10 = 16 + b

b = -6

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Rama09 [41]

Answer: (1.4964, 1.5126)

Step-by-step explanation:

We know that the confidence interval for population mean is given by :-

\overline{x}\ \pm z*\dfrac{\sigma}{\sqrt{n}}

, where {\sigma= population standard deviation.

n= sample size

\overline{x} = Sample mean

As per given , we have

σ = 0.01 inches

n= 10

\overline{x}=1.5045

Also, the critical value for 99% confidence interval = z*=2.576 [From x-value table.]

[Significance level =1-0.99=0.01 and z_{\alpha/2}\ at\ \alpha=0.01 is 2.576.]

Then, the 99% two-sided confidence interval on the mean hole diameter will be :-

1.5045\ \pm (2.576)\dfrac{0.01}{\sqrt{10}}\\\\\approx1.5045\pm(2.576)(0.00316)=1.5045\pm0.00814016=(1.5045-0.00814016,\ 1.5045+0.00814016)\\\\=(1.49635984,\ 1.51264016)\approx(1.4964,\ 1.5126)

Hence, the required confidence interval = (1.4964, 1.5126)

8 0
4 years ago
If ABC Toys sold 25 “Little Drummer Boys” in June 2012 and ABC Toys has seen a 20% increase in sales of “Little Drummer Boys” ev
KIM [24]
You would want to order 44 of the toys.

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7 0
3 years ago
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The school is installing whiteboards in 5 classrooms. Whiteboards, including their
Otrada [13]

Answer:

frdg

Step-by-step explanation:

3 0
3 years ago
The temperature at a mountain base camp was −3 degrees Celsius on Monday. Tuesday morning, the temperature was 2 degrees Celsius
AnnZ [28]

-9 degrees Celsius

because when the temp is negative it and it keeps going down, then the numbers basically get added and have a negative sign in front of it.

-3 +-2 +-4 = -9

5 0
4 years ago
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A gun mass of 5 kg fired a bullet of mass 10 g with the velocity of 360 km/h. What
klemol [59]

Answer:

The recoil velocity of the gun is 0.72\,\,\frac{km}{h}  and is pointing in opposite direction to the velocity of the bullet.

Step-by-step explanation:

Use conservation of linear momentum, which states that the momentum of the bullet (product of the bullet's mass times its speed) should equal in absolute value the momentum of the recoiling gun (its mass times its recoil velocity).

We also write the mass of the bullet in the same units as the mass of the gun (for example kilograms). Mass of the bullet = 0.010 kg

In mathematical terms, we have:

5\, kg * v= 0.01 \,kg\,* 360\,\frac{km}{h} \\v=\frac{0.01\,*360}{5} \,\,\frac{km}{h}\\v=0.72\,\,\frac{km}{h}

6 0
3 years ago
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