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Tresset [83]
2 years ago
10

Nathan flew 3,547 miles from Canada to California during the first part of his trip. He flew 2,567 miles from California to Hawa

ii during the second part of his trip. Which is the difference in the number of miles Nathan flew between the first and second parts of his trip?
Mathematics
1 answer:
AURORKA [14]2 years ago
4 0

Difference in the number of miles Nathan flew between the first and second parts of his trip is 980 miles

<em><u>Solution:</u></em>

Given that Nathan flew 3,547 miles from Canada to California during the first part of his trip

He flew 2,567 miles from California to Hawaii during the second part of his trip

Therefore,

first part of his trip = 3547 miles

second part of his trip = 2567 miles

Difference in the number of miles Nathan flew between the first and second parts of his trip is given as:

difference = first part of his trip - second part of his trip

difference = 3547 - 2567 = 980

Therefore, the difference in number is 980 miles

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Thomas graphed the line that represents the equation y=34x.
zloy xaker [14]

Answer:

The ordered pairs represent points on the line are

(4, 3) ⇒ C

(2, \frac{3}{2} ) ⇒ D

(-8, -6) ⇒ E

Step-by-step explanation:

To find the ordered pairs represent points on the line, substitute x by the x-coordinate of each point, if the value of y equals the y-coordinate of the point, then the point is on the line.

∵ The equation is y = \frac{3}{4} x

∵ The ordered pair is (8, \frac{1}{6} )

→ Substitute x by 8

∴ y = \frac{3}{4} (8)

∴ y = 6

∵ The value of y does not equal the y-coordinate of the ordered pair

∴ The ordered pair (8, \frac{1}{6} ) does not represent a point on the line

∵ The ordered pair is (\frac{-2}{3}, \frac{1}{2} )

→ Substitute x by \frac{-2}{3}

∴ y = \frac{3}{4} (\frac{-2}{3})

∴ y = \frac{-1}{2}

∵ The value of y does not equal the y-coordinate of the ordered pair

∴ The ordered pair  (\frac{-2}{3}, \frac{1}{2} ) does not represent a point on the line

∵ The ordered pair is (4, 3 )

→ Substitute x by 4

∴ y = \frac{3}{4} (4)

∴ y = 3

∵ The value of y equal the y-coordinate of the ordered pair

∴ The ordered pair (4, 3) represents a point on the line

∵ The ordered pair is (2, \frac{3}{2} )

→ Substitute x by 2

∴ y = \frac{3}{4} (2)

∴ y = \frac{3}{2}

∵ The value of y equal the y-coordinate of the ordered pair

∴ The ordered pair (2, \frac{3}{2} ) represents a point on the line

∵ The ordered pair is (-8, -6 )

→ Substitute x by -8

∴ y = \frac{3}{4} (-8)

∴ y = -6

∵ The value of y equal the y-coordinate of the ordered pair

∴ The ordered pair (-8, -6) represents a point on the line

5 0
1 year ago
The equation |x − 8| = 3 represents the minimum and maximum percent of people in a survey who are undecided about an issue. What
icang [17]
| x - 8| = 3

x - 8 = 3            - (x - 8) = 3
x = 3 + 8           -x + 8 = 3
x = 11                -x = 3 - 8
                         -x = - 5
                           x = 5

Minimum : 5%    Maximum : 11%    if u need them added it is 16%
5 0
2 years ago
Read 2 more answers
In which interval is the radical function f of x is equal to the square root of the quantity x squared plus 2 times x minus 15 e
sergij07 [2.7K]

Using function concepts, it is found that it is increasing on the interval:

(–∞, –5] ∪ [3, ∞)

---------------

The function is given by:

f(x) = \sqrt{x^2 + 2x - 15}

The graph is given at the end of this question.

  • If the function is pointing upwards, it is increasing. Otherwise, it is decreasing.
  • In the graph, it can be seen that it is pointing upwards for x of -5 and less, or 3 and higher, thus, the interval is:

(–∞, –5] ∪ [3, ∞)

A similar problem is given at brainly.com/question/13539822

3 0
1 year ago
Two different samples will be taken from the same population of test scores where the population mean and standard deviation are
Alenkinab [10]

Answer:

The sample consisting of 64 data values would give a greater precision.

Step-by-step explanation:

The width of a (1 - <em>α</em>)% confidence interval for population mean μ is:

\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{n}}

So, from the formula of the width of the interval it is clear that the width is inversely proportion to the sample size (<em>n</em>).

That is, as the sample size increases the interval width would decrease and as the sample size decreases the interval width would increase.

Here it is provided that two different samples will be taken from the same population of test scores and a 95% confidence interval will be constructed for each sample to estimate the population mean.

The two sample sizes are:

<em>n</em>₁ = 25

<em>n</em>₂ = 64

The 95% confidence interval constructed using the sample of 64 values will have a smaller width than the the one constructed using the sample of 25 values.

Width for n = 25:

\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{25}}=\frac{1}{5}\cdot [2\cdot z_{\alpha/2}\cdot \sigma]        

Width for n = 64:

\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{64}}=\frac{1}{8}\cdot [2\cdot z_{\alpha/2}\cdot \sigma]

Thus, the sample consisting of 64 data values would give a greater precision

5 0
1 year ago
Read 2 more answers
How many six-digit odd numbers are possible if the leftmost digit cannot be zero
Romashka [77]
For the leftmost digit there are 9 possibilities! 
4 0
2 years ago
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