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2 years ago

7. Paula reduced the size of a rectangle to a height of 2 inches.

Mathematics

1 answer:

drek231 [11]2 years ago

6 0

Answer: if the width was not effected then the width is still 24 inches

if the area stayed the same, then

find area

area=legnth times width

288=12 times 24

so the new height./legnth =2

288=2 times width

divide by 2

144=width'

the new width =144

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According to a study conducted by the Toronto-based social media analytics firm Sysomos, of all tweets get no reaction. That is,

Svetllana [295]

Answer:

a) E(X) = 71

b) V(X) = 20.59

Sigma = 4.538

Step-by-step explanation:

The question is incomplete:

According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January 5, 2015).

Suppose we randomly select 100 tweets.

a) What is the expected number of these tweets with no reaction?

b) What are the variance and standard deviation for the number of these tweets with no reaction?

This can be modeled with the binomial distribution, with sample size n=100 and p=0.71, as the probability of no reaction for each individual tweet.

The expected number of these tweets with no reaction can be calcualted as the mean of the binomial random variable with these parameters:

$E(X)=n\cdot p=100\cdot 0.71=71$

The variance for the number of these tweets with no reaction can be calculated as the variance of the binomial distribution:

$V(X)=np(1-p)=100\cdot0.71\cdot0.29=20.59$

Then, the standard deviation becomes:

$\sigma=\sqrt{V(X}=\sqrt{20.59}=4.538$

5 0

2 years ago

A donut machine makes small glaze donuts the diameter of each doughnut is 8 cm. What is the circumference of each doughnut creat

kotegsom [21]

Answer:

50.29 cm

Step-by-step explanation:

Given:

Diameter of each doughnut = 8 cm

To find: circumference of each doughnut

Solution:

Circumference refers to the boundary of a geometric figure.

A doughnut has the shape of a circle.

Let r represents the radius of the circle.

Diameter of each doughnut = 8 cm

Radius of each doughnut (r) = Diameter/2

$=\frac{8}{2}\\ =4 \,\,cm$

Circumference of each doughnut $=\pi r^2\\$

Put $r=4\,\,,\pi=\frac{22}{7}$

So, circumference = $=\frac{22}{7} (4)^2$

$=\frac{352}{7} \,\,cm\\=50.29\,\,cm$

4 0

2 years ago

10. The perimeter of a parallelogram is 72 meters. The width of the

nalin [4]

Answer:

Length is 20 meters and Width is 16 meters

Step-by-step explanation:

A parallelogram is a 4-sided figure with 2 pair of parallel sides.

The perimeter is the sum of all 4 sides of the parallelogram.

Let the length of parallelogram be x and width be y.

The perimeter is 72, thus we can write:

x + x + y + y = 72

2x + 2y = 72

Also, width is 4 less than length, thus we can write:

y = x - 4

Now, we replace the 1st equation with the 2nd equation and solve for x first. Shown below:

2x + 2y = 72

2x + 2(x - 4) = 72

2x + 2x - 8 = 72

4x = 72 + 8

4x = 80

x = 80/4 = 20

And now y:

y = x - 4

y = 20 - 4

y = 16

Thus, the Length is 20 meters and Width is 16 meters

4 0

2 years ago

Jess is painting his car. He’s created a purple color that uses red paint and blue paint in a ratio of 6:5. Jess uses 15 pints o

Svet_ta [14]

Since the ratio of red to blue paint is 6 and 5. And 15 pints are blue you do 15 divided by 5 and it is 3. So you would do the same for red and it will be 18 so you do 18 plus 15 which is 33 pints in total

5 0

2 years ago

PLEASE HELP ASAPPPPP THANK YOU

Arada [10]

Answer:

i wish i could help u!!!!!!

Step-by-step explanation:

uuuhhhhh i hate that i kinda suck at math

anyway, i'll give this my best shot

The midsegment of a triangle is a line segment that connects the midpoints of two sides ofrigidity to structures. In the support for the image shown shown, the crossbar GJK is a midsegment of GFK

You can use a compass and straightedge to construct the midsegments of a triangle.

Hope this helps! It's the best i can do!

8 0

2 years ago