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3 years ago

Problem Page Write an inequality for the following statement. 1 is less than or equal to c

1 answer:

8 0

When it's less than, we know the sign is <. Because it's less than "or equal to" we draw a line under said symbol. I don't have the symbol on my keyboard but it should be 1

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Anna read 1/8 a book in 1/2 an hour. How much can she read in an hour?

Travka [436]

Answer:

2/8 of a book in an hour

Step-by-step explanation:

1/2 an hour times 2 is 1 ( an hour)

1/8 times 2 is 2/8

she can read 2/8 of a book in an hour

8 0

2 years ago

Read 2 more answers

Fill in the missing digits to find the base 2 representation of 59.

Anna007 [38]

Answer:

111011

Step-by-step explanation:

Following the binary rule we can find the base 2 presentation of the decimal number 59.

To find the binary equivalence of 59 we use the sum of powers of 2.

$2^{0}=1$

$2^{1}=2$

$2^{2}=4$

$2^{3}=8$

$2^{4}=16$

$2^{5}=32$

$2^{6}=64$

Now we take our number and find out what the binary number will by taking our largest number closest to the number first.

59 = 32

We chose the number 32 since 64 will be a larger value than 59.

We then check how much we have to add to 32 to get 59.

59 = 32 + 27

We then look for the closest number to 27 in our powers of 2.

59 = 32 + 16

Now we check again for how much we need left to get a total of 59.

59 = 32 + 16 + 11

Now we repeat the same process of finding which value in the powers of 2 are closest to the number.

59 = 32 + 16 + 8 + 3

59 = 32 + 16 + 8 + 2 + 1

Now since we already have a total of 59, our binary number will be all the numbers present will have a value of 1 and the numbers now used will have a number of 0.

32 16 8 4 2 1

This can also be represented as:

2^5 2^4 2^3 2^1 2^0

Now we have to include the numbers that we skipped to get the total binary number.

32 16 8 4 2 1

1 1 1 0 1 1

This can be represented as:

59 = 32 16 + 8 + 0 + 2 + 1

1 1 1 0 1 1

3 0

3 years ago

Read 2 more answers

Sharon's Floral Shop needs to mail 959 checks to the bank. If they can put 3 checks in each envelope, how many checks will be in

miskamm [114]

Answer:

2 checks in the final envelope

Step-by-step explanation:

359 divided by three is 319,6

319 x 3 + 357

359 - 357 = 2

I hope this was helpful!

6 0

2 years ago

Read 2 more answers

The function y =3 square root –x- 3 is graphed only over the domain of {x | –8 < x < 8}. What is the range of the graph?

Flauer [41]

Using a graphing tool, we can see that the whole range of the function

is y ∈ [0,∞)

Now, in the interval

{x | –8 < x < 8}.

The range is y ∈ [0 ; 6.708)

5 0

3 years ago

A company that makes shampoo wants to test whether the average amount of shampoo per bottle is 16 ounces. The standard deviation

S_A_V [24]

Answer:

The correct option is 16.041 ounces.

Step-by-step explanation:

A single mean test can be used to determine whether the average amount of shampoo per bottle is 16 ounces.

The hypothesis can be defined as:

H₀: The average amount of shampoo per bottle is 16 ounces, i.e. μ = 16.

Hₐ: The average amount of shampoo per bottle is different from 16 ounces, i.e. μ ≠ 16.

The information provided is:

$n=64\\\sigma=0.20\\\alpha =0.10$

We can compute a 90% confidence interval to determine whether the population mean is 16 ounces or not.

Since the population standard deviation is known we will compute the z-interval.

The critical value of z for 90% confidence interval is:

$z_{0.05}=1.645$

*Use a z-table.

Compute the 90% confidence interval for population mean as follows:

$CI=\bar x\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}\\$

Since the sample size is quite large, according to the law of large numbers the on increasing the sample size, the mean of the sample approaches the whole population mean.

So, the 90% confidence interval estimate for sample mean is:

$CI=\mu\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}\\=16\pm 1.645\times \frac{0.20}{\sqrt{64}}\\=16\pm0.041125\\=(15.958875, 16.041125)\\\approx (15.959, 16.041)$

Thus, the correct option is 16.041 ounces.

3 0

3 years ago