5.8(3)+3(1.1). gjcjggv

Algebra 1

zhannawk [14.2K]

Answer:

The actual wide of the lawn is 24 meters

Step-by-step explanation:

we know that

The scale drawing is

$\frac{2}{1}\frac{mm}{m}$

using proportion

Find out how wide is the actual lawn if the lawn is 48 millimeters in the drawing

Let

x -----> the actual wide of the lawn

$\frac{2}{1}\frac{mm}{m}=\frac{48}{x}\frac{mm}{m}\\\\x=48/2\\\\x=24\ m$

therefore

The actual wide of the lawn is 24 meters

6 0

3 years ago

Given the information below, write the conclusion in context. 1. H0 : The proportion of defective batteries = 0.02 2. HA : The p

Marizza181 [45]

Answer:

$z = -1.23$

And we can calculate the p value with the following probability taking in count the alternative hypothesis:

$p_v = P(z$

And for this case using a significance level of $\alpha=0.05 ,0.1$ we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02

Step-by-step explanation:

For this case we want to test the following system of hypothesis:

Null hypothesis: $p =0.02$

Alternative hypothesis: $p < 0.02$

The statistic for this case is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

And for this case we know that the statistic is given by:

$z = -1.23$

And we can calculate the p value with the following probability taking in count the alternative hypothesis:

$p_v = P(z$

And for this case using a significance level of $\alpha=0.05 ,0.1$ we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02

5 0

3 years ago

Which of the following is true about the expression 7 + √3?

blagie [28]

A. sum of rational and irrational and it ends up being rational

7 0

3 years ago

Read 2 more answers

Find the volume of a cylinder if the radius is 3 and the height is 9

Elis [28]

Answer:

81pi

Step-by-step explanation:

pi3^2=9pi

9pi * 9 = 81pi

3 0

3 years ago

Read 2 more answers

In parallelogram ABCD , m∠A=(2x)° and m∠B=(5x+5)° . The figure shows parallelogram A B C D with vertices named clockwise from bo

lara [203]

Answer:

The measure of angles of parallelogram are

∠A = 50° ,

∠B = 130° ,

∠C = 50° ,

∠D = 130°

Step-by-step explanation:

Given as for a parallelogram :

The vertices of parallelogram is A B C D in clockwise

The measure of angle A = ∠A = ( 2 x )°

The measure of angle B = ∠B = ( 5 x + 5 )°

Now, for a parallelogram , the sum of measure of all four angles = 360°

<u>From The property of Parallelogram</u>

A ) The adjacent angles are supplementary

So, ∠A + ∠B = 180°

Or, ( 2 x )° + ( 5 x + 5 )° = 180°

Or, ( 7 x + 5 )° = 180°

Or , ( 7 x )° = 180° - 5°

Or , ( 7 x )° = 175°

∴ x = $\frac{175}{7}$

I.e x = 25°

So, ∠A = ( 2 x )° = ( 2 ×25° )

I.e , ∠A = 50°

∠B = ( 5 x + 5 )°

Or, ∠B = ( 5 ×25° + 5 )°

I.e , ∠B = 130°

B ) The opposite angles of parallelogram is equal

So, ∠C = ∠A = 50°

I,e ∠C = 50°

And ∠D = ∠B = 130°

I.e ∠D = 130°

Hence The measure of angles of parallelogram are ∠A = 50° , ∠B = 130° , ∠C = 50° , ∠D = 130° Answer

5 0

3 years ago