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2 years ago

Given f(x)=½(8-2x), what is the value of f(-5)? help plez

Mathematics

2 answers:

guajiro [1.7K]2 years ago

8 0

Answer:

Step-by-step explanation:

f(x)=½(8-2x)

Let x = -5

f(-5)=½(8-2* (-5))

=½(8+10)

=½(18)

Gnoma [55]2 years ago

8 0

$\\ \tt\bull\rightarrowtail f(x)=1/2(8-2x)$

$\\ \tt\bull\rightarrowtail f(-5)$

$\\ \tt\bull\rightarrowtail 1/2(8-2(-5))$

$\\ \tt\bull\rightarrowtail 1/2(8+10)$

$\\ \tt\bull\rightarrowtail 1/2(18)$

$\\ \tt\bull\rightarrowtail 9$

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1. Find the value of 8.3 x 24.2 x 0.03. Round your answer to the nearest hundredth.

MrMuchimi

The rounded value is option B) 6.03 which is rounded to the nearest hundredth.

Step-by-step explanation:

To find the value of 8.3 x 24.2 x 0.03, we need to multiply the given numbers to get a decimal value.
And then, after getting the value of 8.3 x 24.2 x 0.03 it should be rounded to the nearest hundredth.

So, let's multiply the numbers first :

8.3 × 24.2 × 0.03 = 6.0258

The value is 6.0258

To round the value 6.0258 to the nearest hundredth :

The first number next to the decimal point represents the tenth.
The second number next to the decimal point is the hundredth.
The third number next to the decimal point is thousandth.

Therefore, to round the value to the nearest hundredth, look for the thousandth number is either less than 5 or greater and or equal to 5.

If, thousandth place is greater or equal to 5, then the hundredth number should be increased by 1.

The hundredth is 6.02 and the number in the thousandth place is 5. So add 1 to the hundredth place.

The value is rounded to 6.03 to the nearest hundredth.

5 0

3 years ago

The estimated daily living costs for an executive traveling to various major cities follow. The estimates include a single room

Alexandra [31]

Answer:

$\bar x = 260.1615$

$\sigma = 70.69$

The confidence interval of standard deviation is: $53.76$ to $103.25$

Step-by-step explanation:

Given

$n =20$

See attachment for the formatted data

Solving (a): The mean

This is calculated as:

$\bar x = \frac{\sum x}{n}$

So, we have:

$\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}$

$\bar x = \frac{5203.23}{20}$

$\bar x = 260.1615$

$\bar x = 260.16$

Solving (b): The standard deviation

This is calculated as:

$\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}$

$\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}$ $\sigma = \sqrt{\frac{94938.80}{19}}$

$\sigma = \sqrt{4996.78}$

$\sigma = 70.69$ --- approximated

Solving (c): 95% confidence interval of standard deviation

We have:

$c =0.95$

So:

$\alpha = 1 -c$

$\alpha = 1 -0.95$

$\alpha = 0.05$

Calculate the degree of freedom (df)

$df = n -1$

$df = 20 -1$

$df = 19$

Determine the critical value at row $df = 19$ and columns $\frac{\alpha}{2}$ and $1 -\frac{\alpha}{2}$

So, we have:

$X^2_{0.025} = 32.852$ ---- at $\frac{\alpha}{2}$

$X^2_{0.975} = 8.907$ --- at $1 -\frac{\alpha}{2}$

So, the confidence interval of the standard deviation is:

$\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} }$ to $\sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }$

$70.69 * \sqrt{\frac{20 - 1}{32.852}$ to $70.69 * \sqrt{\frac{20 - 1}{8.907}$

$70.69 * \sqrt{\frac{19}{32.852}$ to $70.69 * \sqrt{\frac{19}{8.907}$

$53.76$ to $103.25$

8 0

2 years ago

Find the range. 4.7 6.3 5.4 3.2 4.9 3.1 –3.1 9.5 –9.5

WINSTONCH [101]

Answer:

The range is 19

Step-by-step explanation:

First, you have to order the numbers from least to greatest:

-9.5, -3.1, 3.1, 3.2, 4.7, 4.9, 5.4, 6.3, 9.5

Then, you have to find the difference between the largest number and and smallest number. You do this by subtracting them:

9.5 - (-9.5)= 19

So, the range is 19

8 0

2 years ago

In the standard (x, y) coordinate plane which equation represents a line through the point (6, 1) and perpendicular to the line

Nata [24]

Answer:

d. -2/3x+5

Step-by-step explanation:

Because the line is perpendicular, the slope must be the inverse of the original slope. The inverse of 3/2 is -2/3. To find the b value, you plug (6,1) into the equation y=-2/3x+b

1=-2/3(6)+b

1=-4+b

5=b

The final equation is y=-2/3x+5

6 0

2 years ago

PLEASE HELP THIS IS TIMED!!!

ANTONII [103]

Answer:

its c. 1/4

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7 0

2 years ago

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