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3 years ago

Draw rectangle that has a perimeter of 12 unit and an area of 8 square unit

Mathematics

2 answers:

lidiya [134]3 years ago

7 0

2 units and four units

77julia77 [94]3 years ago

5 0

The side lengths are 2 units and 4 units. Do you need work?

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Joshua used two wood beams, PC and QA, to support the roof of a model house.

Mazyrski [523]

Answer:

$\boxed{\boxed{PQ=3.6\ in}}$

Step-by-step explanation:

As it is given as ΔQRP and ΔARC are similar, so the ratio of their corresponding sides will be same.

So,

$\dfrac{RC}{PR}=\dfrac{AC}{PQ}$

It is given as,

RC = 3.3

PR = 1.8

AC = 6.6

PQ = ??

Putting the values,

$\Rightarrow \dfrac{3.3}{1.8}=\dfrac{6.6}{PQ}$

$\Rightarrow PQ=\dfrac{6.6\times 1.8}{3.3}=3.6$

3 0

3 years ago

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The latest poll from ESPN asked fans what their favorite sport was, considering pro, college and highschool levels. Out of 1000

shepuryov [24]

Answer:

Confidence interval is $0.2911$

Step-by-step explanation:

Given that 32% of fans sport is basketball as favorite sport. So total number of fans is,

$32\%\times 1000$

$= \dfrac{32}{100}\times 1000$

$=320$

So 320 fans favorite sport is basket ball.

Now find sample proportion ,

$\widehat{p}=\dfrac{number\:of\:people\:in\:the\:sample}{total\:number\:of\:people}$

Substituting the value,

$\widehat{p}=\dfrac{320}{1000}$

$\widehat{p}=0.320$

Formula for confidence interval is,

$CI=\widehat{p}\pm z\sqrt{\dfrac{\widehat{p}\left (1-\widehat{p}\right )}{n}}$

To calculate the z value.

$Confidence Level=1-\alpha$

$0.95=1-\alpha$

$0.05=\alpha$

Now divide above value by 2,

$\dfrac{0.05}{2}=\dfrac{\alpha}{2}$

$0.025=\dfrac{\alpha}{2}$

To find the value of z score calculate the area under the curve as follows

$A=\dfrac{1+CL}{2}$

$A=\dfrac{1+0.95}{2}$

$A=\dfrac{1.95}{2}$

$A=0.975$

On z table, find the value of 0.975. So the row corresponding to 0.975 is 1.9 and column corresponding to 0.975 is 0.06. Adding these two values the z score is 1.96.

or find the value from excel by using command as follows,

=NORM.S.INV(0.025)= -1.959963985

Now substituting the value,

$CI=0.320\pm 1.96\sqrt{\dfrac{0.320\left (1-0.320\right )}{1000}}$

$CI=0.320\pm 0.02891$

Lower end of the interval is,

$CI=0.320- 0.02891$

$CI=0.2911$

Upper end of the interval is,

$CI=0.320+ 0.02891$

$CI=0.3489$

Therefore 95% confidence interval is $0.2911$

7 0

3 years ago

The ratio of the number of girls to the number of boys in a choir is 5 to 4. There are 120 girls in the choir. How many boys are

Alexxx [7]

Answer:

Step-by-step explanation:

5:4

Both sides have to be equal.

120 divided by 5 is 24.

4 times 24 is <u>96</u>.

4 0

3 years ago

1. Point C lies on BD. Draw a diagram and label the parts. If BC = 52.39 mm and CD = 21.83 mm, what is

kondaur [170]

Answer:

74.32

Step-by-step explanation:

Add the two together, and you have your answer b/c it's asking for the total length of the line

4 0

3 years ago

Read 2 more answers

Pls help im am struggling i will give brainliest !!!!!!!!!

Rainbow [258]

They are extremely similar but a(x) has a greater y-intercept!

If you look at the y axis, a(x) simply intercept it higher than b(x)

Hope this helps!

4 0

2 years ago

Read 2 more answers