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ella [17]
2 years ago
10

Rob is making a scale model of the Solar System on the school field. He wants the distance from the Sun to Jupiter to be 8 metre

s on his scale model. The real distance from the Sun to Jupiter is 7.8 × 10 8 kilometres. Find the scale of the model. Give your answer in the form 1 : n , where n is written in standard form.
Mathematics
1 answer:
ANEK [815]2 years ago
3 0

Answer:

1 : 9.75 * 10⁷

Step-by-step explanation:

To find n, we have to divide the real distance by the scale distance. This is 7.8 * 10⁸ / 8 = 0.975 * 10⁸ = 9.75 * 10⁷ which means that the ratio is 1 : 9.75 * 10⁷.

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Which is the graph of the linear inequality y < 3x + 1? On a coordinate plane, a solid straight line has a positive slope and
stepan [7]

For this case we have the following inequality: y < 3x + 1 < br/ >

What we must do is to evaluate a point of the Cartesian plane and verify if it is in the shaded region.

The shaded region represents the solution of the system of equations.

For the point (0, 0) we have:

0 < 3(0) + 1 < br / >

0 < 0 + 1 < br / >

0 < 1 < br / >

Therefore, the point (0, 0) is in the shaded region because it satisfies the inequality.

Then, the points that are on the line, are not part of the solution because the sign is of less strict.

Hope I helped ~~Laurel

6 0
1 year ago
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5. Anthony has 80 pine tree seedlings to plant in his meadow. He first plants one row of 12
inna [77]
D. 16 clusters
Hope it helps
7 0
1 year ago
Determine if the statement is true or false:
erma4kov [3.2K]

Answer:

Step-by-step explanation:

given are four statements and we have to find whether true or false.

.1 If two matrices are equivalent, then one can be transformed into the other with a sequence of elementary row operations.

True  

2.Different sequences of row operations can lead to different echelon forms for the same matrix.

True in whatever way we do the reduced form would be equivalent matrices

3.Different sequences of row operations can lead to different reduced echelon forms for the same matrix.

False the resulting matrices would be equivalent.

4.If a linear system has four equations and seven variables, then it must have infinitely many solutions.

True, because variables are more than equations.  So parametric solutions infinite only is possible

8 0
1 year ago
A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. A fre
JulsSmile [24]

Answer:

SD = 7588.09

Step-by-step explanation:

Check the distribution table attached to for the step by step solution:

The formula for the mean, \bar{x} = \frac{\sum fx}{\sum f}

\bar {x} = \frac{1410040}{80} \\\bar {x} = 17625.5

The variance , V(X) = \sqrt{\frac{\sum f(x - \bar{x}^2)}{n-1} }

V(X) = \frac{4548750000}{80 - 1} \\V(X) = 57579113.92

Standard Deviation,

SD = \sqrt{V(X)} \\SD = \sqrt{57579113.92}

SD = 7588.09

7 0
2 years ago
Read 2 more answers
The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci
Olenka [21]

Answer:

The correct answer is

(0.0128, 0.0532)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

In a random sample of 300 circuits, 10 are defective. This means that n = 300 and \pi = \frac{10}{300} = 0.033

Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532

The correct answer is

(0.0128, 0.0532)

4 0
1 year ago
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