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3 years ago

The range of the function f(x) = x + 5 is {7, 9). What is the function's domain?

Mathematics

1 answer:

Maru [420]3 years ago

8 0

Answer:

(2,4)

Step-by-step explanation:

The range is the y values

y = x+5

Let y=7

7 =x+5

Subtract 5

7-5 x+5-5

2=x

Let y= 9

Subtract 5

9-5 x+5-5

4=x

The domain is (2,4)

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A sample of 5 buttons is randomly selected and the following diameters are measured in inches. Give a point estimate for the pop

Helen [10]

Answer:

$s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}$

But we need to calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_I}{n}$

And replacing we got:

$\bar X = \frac{ 1.04+1.00+1.13+1.08+1.11}{5}= 1.072$

And for the sample variance we have:

$s^2 = \frac{(1.04-1.072)^2 +(1.00-1.072)^2 +(1.13-1.072)^2 +(1.08-1.072)^2 +(1.11-1.072)^2}{5-1}= 0.00277\ approx 0.003$

And thi is the best estimator for the population variance since is an unbiased estimator od the population variance $\sigma^2$

$E(s^2) = \sigma^2$

Step-by-step explanation:

For this case we have the following data:

1.04,1.00,1.13,1.08,1.11

And in order to estimate the population variance we can use the sample variance formula:

$s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}$

But we need to calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_I}{n}$

And replacing we got:

$\bar X = \frac{ 1.04+1.00+1.13+1.08+1.11}{5}= 1.072$

And for the sample variance we have:

$s^2 = \frac{(1.04-1.072)^2 +(1.00-1.072)^2 +(1.13-1.072)^2 +(1.08-1.072)^2 +(1.11-1.072)^2}{5-1}= 0.00277\ approx 0.003$

And thi is the best estimator for the population variance since is an unbiased estimator od the population variance $\sigma^2$

$E(s^2) = \sigma^2$

3 0

3 years ago

Please help me urgently! 50 points giving brainliest.

Alisiya [41]

The number of significant figures in the numbers are

100 cm = 1 significant digit
0.006700 cm = 2 significant digits
450. cm = 3 significant digits

<h3>How to determine the number of significant figures in the following numbers?</h3>

As a general rule, the zeros before and after the non-zero figures are not significant.

Using the above rule, we have:

100 cm = 1 significant digit
0.006700 cm = 2 significant digits
450. cm = 3 significant digits

<h3>How to round the following numbers to the correct number of significant figures</h3>

Using the above rule in (a), we have:

123g to show 1 sig fig = 100 g
0.19851m to show 2 sig figs = 0.2 m
0.0057034L to show 3 sig figs = 0.005703 L

<h3>How to report the following answers with correct significant figures</h3>

We have:

(12.93cm) x (2.34cm) x (8cm) = 242.05 cm^3 because 12.93 has 4 significant figures

67.0m / 2.18s = 30.7 m/s because 2.18 has 3 significant figures

<h3>How to convert the following metric to metric</h3>

450mL = 0.45 L

because 1 mL = 0.001 L

2.3 dm = 0.00023 km

because 1 dm = 0.0001 km

0.120cg = 1.2 mg

because 1 cg = 10 mg

6700L = 670000 cL

because 1 L = 100 cL

<h3>How to convert the following metric</h3>

a. 2.34miles = 3.76 km (1mile = 1.61km) -- given

b. 5.3ft = 161.544 cm(2.54cm = 1 in)

Because 1 ft = 30.48 cm

Read more about significant figures at:

brainly.com/question/24491627

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1 year ago

A car wash detailed 198 cars in 6 hours. At what rate did the car wash detail cars in cars per

coldgirl [10]

Detailed 33 cars each hour

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3 years ago

Choose the ratio equivalent to 10/9

satela [25.4K]

<h3>Answer:</h3>

30/27, 20/18...

<h3>Solution:</h3>

There are <em>infinitely many ratios equivalent to 10/9.</em>
Here are <em>some </em>of them:
30/27
20/18
100/90
60/54

Hope it helps.

Do comment if you have any query.

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2 years ago

The question and the answers choices are in the picture please and thank you :)

joja [24]

Answer:

Option 3

Step-by-step explanation:

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2 years ago

The range of the function f(x) = x + 5 is {7, 9). What is the function's domain?​

The range of the function f(x) = x + 5 is {7, 9). What is the function's domain?