10 x 4 ones = how many ones

Which equation can be used to represent the statement?

serg [7]

Answer:

of the number is X, 16 = 1 + (2/10)×X - 8

7 0

3 years ago

Read 2 more answers

Evaluate √36/121<br><br> Enter your answer as a fraction in simplest term.

Ad libitum [116K]

Assuming the root sign is over both the numerator and denominator, find the square root of both numbers (6 and 11). The two answers are positive and negative 6/11 because multiplying two negatives makes a positive.

5 0

3 years ago

Read 2 more answers

There are 486 hamsters at a private showing of a new documentary about humans. If there are 12 seats in each row, about how many

Citrus2011 [14]

Answer:

40 rows will hamsters fill

Step-by-step explanation:

As per the statement:

There are 486 hamsters at a private showing of a new documentary about humans.

⇒Total number of hamsters = 486

It is also given that there are 12 seats in each row.

then;

They will fill = $\frac{486}{12} = 40.5$

Therefore, the best estimate the rows will hamsters fill is 40 rows.

7 0

4 years ago

A study of peach trees found that the average number of peaches per tree was 725. The standard deviation of the population is 70

TEA [102]

Answer:

She needs to sample 189 trees.

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:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

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

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

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.

The standard deviation of the population is 70 peaches per tree.

This means that $\sigma = 70$

How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree?

She needs to sample n trees.

n is found when M = 10. So

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

$10 = 1.96\frac{70}{\sqrt{n}}$

$10\sqrt{n} = 1.96*70$

Dividing both sides by 10:

$\sqrt{n} = 1.96*7$

$(\sqrt{n})^2 = (1.96*7)^2$

$n = 188.2$

Rounding up:

She needs to sample 189 trees.

3 0

3 years ago

Alexander and Jo live 5 miles apart. They decide to leave their homes at 3 p.M. And travel toward each other. If Alexander bikes

lukranit [14]

Answer:

Step-by-step explanation:

Here is an illustration of the problem:

----------------------------->|<------------------

A t J

Alex and Jo start from their separate homes and drive towards one another. The t indicates the time at which they meet, which is the same time for both. Filling in a d = rt table:

d = r x t

Alex 14 t

Jo 6 t

The formula for motion is d = rt, so that means that Alex's distance is 14t and Jo's distance is 6t.

14t 6t

---------------------------------->|<------------------

A t J

The distance between them is 5 miles, so that means that Alex's distance plus Jo's distance equals 5 miles. In equation form:

14t + 6t = 5 and

20t = 5 so

t = .25 hours or 15 minutes.

If they leave their homes at 3 and they meet 15 minutes later, then they meet at 3:15.

3 0

3 years ago