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My name is Ann [436]
3 years ago
5

Are squaring a number and taking a root ___ operations.the sameoppositedifferent​

Mathematics
1 answer:
Ber [7]3 years ago
4 0
They are opposite operations
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When Carson runs the 400 meter dash, his finishing times are normally distributed with a mean of 65 seconds and a standard devia
just olya [345]

Given Information:  

Mean time to finish 400 meter dash  = μ = 65 seconds

Standard deviation to finish 400 meter dash = σ = 2.5 seconds  

Confidence level = 95%

Required Information:  

95% confidence interval = ?

Answer:  

 CI = 60 \: to \: 70 \: seconds

Step-by-step explanation:  

In the normal distribution, the empirical rule states approximately 68% of all the data lie within 1 standard deviation from the mean, approximately 95% of all the data lie within 2 standard deviations from the mean and approximately 99.7% of all the data lie within 3 standard deviations from the mean.

The confidence interval for 95% confidence limit is given by

 CI = \mu \pm 2\sigma

Since approximately 95% of all the data lie within 2 standard deviations from the mean. μ is the mean time Carson takes to finish 400 meter dash and σ is the standard deviation.

 CI = 65 \pm 2(2.5)

 CI = 65 \pm 5

 CI = 65 - 5 \: to \: 65 + 5

CI = 60 \: to \: 70 \: seconds

Therefore, the 95% confidence interval is between 60 to 70 seconds

What does it mean?  

It means that we are 95% confident that the Carson's mean to finish 400 meter dash is within the interval of (60, 70).

4 0
2 years ago
The graph below models the value of a $20,000 car t years after it was purchased.
yarga [219]

Answer: B “ Each time, t, is associated with exact one car value, y.

Step-by-step explanation:

I just took the pre-test on edge.

3 0
3 years ago
29 — 6x=5(1 – 6x)<br> Please show me the steps
Lady bird [3.3K]

Answer:

x= -1

Step-by-step explanation:

<u><em>START</em></u> 29 - 6x = 5(1 - 6x)

1.  Distribute

29 - 6x = 5 - 30x

2. Isolate the variable

~ <u>2a</u>. Add 30x to both sides

29 - 6x + 30x = 5 - 30x + 30x

~ <u>2b</u>. Subtract 29 from both sides

29 - 29 - 6x + 30x = 5 - 29 - 30x + 30x

3. Simplify

24x = -24

4. Solve

x = -1

<em><u>END</u></em>

5 0
3 years ago
What is the general form of the equation of the line shown?
Lyrx [107]

Answer:

  B)  x - y = 0

Step-by-step explanation:

The equation for the line shown is y=x. This can be written in general form by subtracting y:

  x - y = 0

_____

General form for the equation of a line is ...

  ax +by +c = 0

where a, b, c are preferred to be mutually prime integers and a ≥ 0. If a = 0, then b ≥ 0.

6 0
3 years ago
How do you solve the inequality and graph it 2w&gt;20
diamong [38]

Answer:

w>10

Step-by-step explanation:

Just put a open dot on the graph and shade the right part of the point.

8 0
3 years ago
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