Parallelogram ABCD is a rhombus. Side BC = 5cm and segment AO = 3.8cm

The distance travelled in (m) by a ball dropped from a height are 128/9,32/3,8,6,...

Allushta [10]

Answer: it will trave 56.89 meters before coming to rest.

Step-by-step explanation:

This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as

S = a/(1 - r)

where

S = sum of the distance travelled by the ball

a = initial distance or height of the ball

r = common ratio

From the information given,

a = 128/9

r = (32/3)/(128/9) = 0.75

Therefore,

S = (128/9)/(1 - 0.75) = 56.89 meters

7 0

2 years ago

please help please help please please please please please please please please please please please please please please please

7nadin3 [17]

Answer:
1) -10^3 (-10 to the power of 3)
2) r^5 (pie to the power of 5)
3) 1/2^2 + x^3 (1/2 to the power of 2 + x to the power of 3)

3 0

3 years ago

Journalists try to use shorter or simpler words in their news stories whenever possible. The box below shows the number of lette

kap26 [50]

The mean, median number and the the outlier of the number of letters in the box is 5, 4.5 and no outlier respectively.

The complete question:

A box contains the numbers 9, 2, 2, 11, 1, 8, 8, 2, 6, 1, 7, 3.

<h3>How to find mean, median and outlier</h3>

Mean = Addition of all numbers ÷ number of digits

= (9 + 2 + 2 + 11 + 1 + 8 + 8 + 2 + 6 + 1 + 7 + 3) ÷ 12

= 60 ÷ 12

= 5

Median = The middle value arranged in ascending or descending order.

In ascending order; 1,1,2,2,2,3,6,7,8,8,9,11

There are two middle number; 6 and 3

Median = (6 + 3) / 2

= 9/2

= 4.5

There is no outlier

Learn more about mean and median:

brainly.com/question/14532771

6 0

2 years ago

Michael's dad is 30 years of age. He is 2 years more than four times Michaels age m. Write and solve a two-step equation to dete

Ksenya-84 [330]

Answer:

The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.

Step-by-step explanation:

In order to solve this problem we will attribute variables to the ages of Michael and his father. For his father age we will attribute a variable called "f" and for Michael's age we will attribute a variable called "x". The first information that the problem gives us is that Michael's dad is 30 years of age, so we have:

f = 30

Then the problem states that the age of the father is 2 years "more" than four "times" Michaels age. The "more" implies a sum and the "times" implies a product, so we have:

f = 2 + 4*x

We can now find Michael's age, for that we need to isolate the "x" variable. We have:

f - 2 = 4*x

4*x = f - 2

x = (f-2)/4

x = (30 - 2)/4 = 7 years

The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.

7 0

3 years ago

Read 2 more answers

SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200. Suppose a school council

fgiga [73]

Answer:

0.91517

Step-by-step explanation:

Given that SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200. Suppose a school council awards a certificate of excellence to all students who score at least 1350 on the SAT, and suppose we pick one of the recognized students at random.

Let A - the event passing in SAT with atleast 1500

B - getting award i.e getting atleast 1350

Required probability = P(B/A)

= P(X>1500)/P(X>1350)

X is N (1100, 200)

Corresponding Z score = $\frac{x-1100}{200}$

$P(X>1500)/P(X>1350)\\= \frac{P(Z>2)}{P(Z>1.25} \\=\frac{0.89435}{0.97725} \\=0.91517$

4 0

3 years ago