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blsea [12.9K]
2 years ago
15

A system of equations is shown below. y = -5x - 2 y=3x - 4 What is the solution to the system of equations?​

Mathematics
1 answer:
marishachu [46]2 years ago
8 0

Answer:

the answer is (x,y) (1/4 -13/4)

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Which critical value is appropriate for a​ 99% confidence level where nequals​17, sigma is​ unknown, and the population appears
My name is Ann [436]

Answer:

t Subscript alpha divided by 2 = 2.921

Step-by-step explanation:

With sample sizes lower than 30, we use the t-test.

Otherwise, we use the z-test.

Here, n = 17

So we use the t-test.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 17 - 1 = 16

Now, we have to find a value of T, which is found looking at the t table, with 16 degrees of freedom(y-axis) and a confidence level of 0.99(t_{1 - (\frac{1-0.99}{2}}) = 0.995). So we have T = 2.921

So the correct answer is:

t Subscript alpha divided by 2 = 2.921

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3 years ago
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The average distance from the sun to the planet Mercury is about 58,000,000 km. The diameter of a human hair is about 0.0025 cm.
Anna [14]

Answer:

Distance of Sun and Mercury = 58,000,000 km.

In Scientific notation, it would be: 5.8 × 10⁷ Km

Diameter of a human hair = 0.0025 cm

In scientific notation, it would be: 2.5 × 10⁻³ cm

Before Comparison, we need to bring  to  or vice-versa, so we can easily calculate then, here, we will go from cm to Km.

2.5 × 10⁻³ × 10⁻⁵ Km = 2.5 × 10⁻⁸

Now, we can compare the values,  

5.8 × 10⁷ Km > 2.5 × 10⁻⁸

[ reason. - power of smaller number is in negative, it means, it is denominator, which would be very small as compared to other ]

5 0
3 years ago
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The table below shows all of the possible outcomes for rolling two six-sided number cubes.
Mice21 [21]

C. 1/4

There is a table with 36 possible outcomes. 9 of them are desired outcomes because they have an even number rolled first and then an odd number rolled second (a few random examples from the table would be 2,1, 2,3, 4,1, 4,5, 6,3 etc.)

All we have to do is make a fraction of the desired outcomes over the total number of possible outcomes. 9/36. That can be simplified into 1/4 and <em>voilà</em>, there is your answer.

Hope this helped ッ

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3 years ago
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Which of the following numbers is greater than 7.03?
iren [92.7K]

Answer:

A:7.031

Step-by-step explanation:

both 7, but 7.031  has 031.  7.03  only has .03.

4 0
3 years ago
Given 16 = −5 + z4solve for z
AysviL [449]
Hi,

16 = - 5 + z4 \\ - 4z + 16 = - 5 \\ - 4z = - 5 - 16 \\ - 4z = -21

Now just divide both sides of equation by -4.

z = \frac{21}{4}

Simplify:

z = 5 \frac{1}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: fraction \: result

Decimal form:

z = 5.25 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: decimal \: result

Hope this helps.
r3t40
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3 years ago
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