All categories

3 years ago

Please solve this ASAP!!! :)

Mathematics

1 answer:

kherson [118]3 years ago

4 0

Answer:

1). Area = 37 cm²

2). Area = 120 cm²

Step-by-step explanation:

Figures in the picture attached are the examples of composite figures.

1). Area of the composite figure = Area of rectangle A + Area of rectangle B

Since area of rectangle = Length × width

Area of rectangle A = 8 × 2 = 16 cm²

Area of rectangle B = 3 × 7 = 21 cm²

Area of the composite figure = 16 + 21 = 37 cm²

2). Area of the composite figure = Area of C + Area of D

= (3×4) + (9×12)

= 12 + 108

= 120 cm²

You might be interested in

Mai travels 90 miles in 2 hours by boat. At this rate,how far does Mai go in 3 hours?

Marysya12 [62]

Answer:

135 miles in 3 hours

Step-by-step explanation:

5 0

3 years ago

In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour

Lesechka [4]

Answer:

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=54$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=21$ represent the sample standard deviation

n=16 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

Now we have everything in order to replace into formula (1):

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

4 0

3 years ago

Help please! No rush, I'll give brainliest for best answer

Yanka [14]

9514 1404 393

Answer:

Step-by-step explanation:

Your friendly local graphing calculator or spreadsheet can tell you the quadratic regression equation. It best matches choice A.

5 0

3 years ago

Witch multiples of 24 are not factors of 24

Nataly [62]

Answer:

A factor of 24 is a number that can be multilied by another number (normally whole (not fraction or decimal) numbers) so a factor must be less than the number any multiple of 2 greater than 24 will work so just any even number greater than 24 exg 26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60, and so on.

Step-by-step explanation:

8 0

3 years ago

45x^4 + 72x^3 is factored form

Rudik [331]

Answer: 9 x 3 ( 5 x + 8 )

Step-by-step explanation:

Factor 9 x 3 out of 45 x 4 + 72x 3 .

4 0

2 years ago