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2 years ago

Homer is giving some cookies to each of

Mathematics

1 answer:

Stells [14]2 years ago

3 0

Answer:

7 cookies

Step-by-step explanation:

We have 3 brothers

First , Second, Third

Let the total number cookies be represented by A

1 cookie = 1

Working backwards, we start from the third brother

If we work backwards

It means he gave everything away

We start from the youngest

He was given 1/2 of what was left and 1/2 a cookie

This means,

1/2 + 1/2 = 1

The second brother

He got half of what is left and 1/2 a cookies

Half of what is left from brother

= What the youngest brother got + 1/2 + 1/2 a cookie

= 1 + 1/2 + 1/2

= 1.5 + 1/2

= 2 cookies

For the first brother

He got 1/2 of the cookies + 1/2 cookie

= 1.5 × 2 + 1/2 + 1/2 cookies

= 3 1/2 + 1/2

= 4 cookies

The first brother got 4 cookies

The second brother got 2 cookies

The third broth got 1 cookies

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A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies. The city's animal shelt

inysia [295]

Answer: The number of dogs in all of the city's animal shelters is puppies = 270

Step-by-step explanation:

Given: A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies.

The city's animal shelters collectively house 1,485 dogs each year.

The number of dogs in all of the city's animal shelters is puppies = $1485\times\dfrac{10}{55}=270$

Hence, The number of dogs in all of the city's animal shelters is puppies = 270

7 0

2 years ago

Select the equivalent expression

slava [35]

Answer: c
hope this helps!

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2 years ago

An object is moving at the constant rate of 32 feet per second. How many yards will it travel in one minute? 10.7 yards per minu

In-s [12.5K]

1 yard = 3 feet

1 minute = 60 seconds

Multiply 32 feet per second by 60 to find feet per minute:

32 x 60 = 1920 feet per minute.

Divide total feet per minute by 3 feet to find yards per minute:

1920 / 3 =640 yards per minute.

6 0

2 years ago

kherson [118]

The answer is j.
y = |x - 1|

8 0

2 years ago

A manufacturer of college textbooks is interested in estimating the strength of the bindings produced by a particular binding ma

IrinaVladis [17]

Answer:

538 books should be tested.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How many books should be tested to estimate the average force required to break the binding to within 0.08 lb with 99% confidence?

n books should be tested.

n is found when $M = 0.08$

We have that $\sigma = 0.72$

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.08 = 2.575*\frac{0.72}{\sqrt{n}}$

$0.08\sqrt{n} = 2.575*0.72$

$\sqrt{n} = \frac{2.575*0.72}{0.08}$

$(\sqrt{n})^{2} = (\frac{2.575*0.72}{0.08})^{2}$

$n = 537.1$

Rounding up

538 books should be tested.

6 0

2 years ago