Determine if the set is empty<br> {x|x is a planet in our solar system whose name begins with F}

Two fewer than a number doubled is the same as the number decreased by 38. if n is "the number," which equation could be used to

Alona [7]

$\displaystyle \\ 
\text{We use the following equation:} \\ \\ 
 \frac{n}{2} = n - 38 \\ \\ 
We solve for n: \\ \\ 
 \frac{n}{2} = n - 38 ~~\Big| \times 2 \\ \\ 
n = 2 \times n - 2 \times 38 \\ \\ 
n = 2n - 76 \\ \\ 
2n - n = 76 \\ \\ 
\boxed{n = 76} \\ \\ 
\text{Verification: } \\ \\ 
\frac{n}{2} = n - 38 \\ \\ 
\frac{76}{2} = 76 - 38 \\ \\ 
\boxed{38 = 38 ~~~ Correct }$

8 0

4 years ago

You bike for 2 hours at a speed no faster than 17.6 mph. Write an inequality that represents the possible number of miles you bi

Whitepunk [10]

Total no. of hours you spent biking = 2 hours
the speed at which you rode your bike ≤ 17.6 mph
Now,
We have,
$speed = \frac{distance}{time}$

$17.6 = \frac{distance}{2}$

$17.6 *2= distance$

$35.2=distance$

So, you for given conditions, you can't travel more then 35.3 miles

So, the inequality for the given circumstances is:
x ≤ 35.2

4 0

4 years ago

Read 2 more answers

You pay sales tax on your purchases at the rate of 0.07. What fraction of your money is this? Remember to reduce your fraction

Gemiola [76]

Answer:

This is $\frac{7}{100}$ of your money.

Step-by-step explanation:

We have a decimal number, and we want the answer to be a fraction. To transform a decimal number into a fraction, we multiply both the numerator and the denominator by 10 until none of them have decimal parts. So

$0.07\times \frac{10}{10} = \frac{0.7}{10}\times \frac{10}{10} = \frac{7}{100}$

This is $\frac{7}{100}$ of your money.

3 0

3 years ago

A room contains three urns: u1, u2, u3. u1 contains 3 red and 2 yellow marbles. u2 contains 3 red and 7 yellow marbles. u3 conta

Archy [21]

Answer:

$\dfrac{11}{30}$

Step-by-step explanation:

Urn U1: 3 red and 2 yellow marbles, in total 5 marbles.

The probability to select red marble is $\dfrac{3}{5}=0.6.$

Urn U2: 3 red and 7 yellow marbles, in total 10 marbles.

The probability to select red marble is $\dfrac{3}{10}=0.3.$

Urn U1: 1 red and 4 yellow marbles, in total 5 marbles.

The probability to select red marble is $\dfrac{1}{5}=0.2.$

The probability to choose each urn is the same and is equal to $\frac{1}{3}.$

Thus, the probability that the marble is red is

$\dfrac{1}{3}\cdot 0.6+\dfrac{1}{3}\cdot 0.3+\dfrac{1}{3}\cdot 0.2=\dfrac{1.1}{3}=\dfrac{11}{30}.$

4 0

3 years ago

You can see how many standard deviations a score is from the mean of the distribution for a raw score or a z-score is by looking

Semmy [17]

Answer:

True

Step-by-step explanation:

Z-score may be defined as a position of the raw score in regard to the distance from its mean when it is measured in the units of standard deviation. Z-score is considered as positive, when the values is above the mean. And when it is below the mean, it is considered as negative.

Another name of a z-score is standard score. Z-score can be measured using the relation :

$z=\frac{x-\mu}{\sigma}$

where, z = z-score

x = raw score

μ = population mean

σ = population standard deviation

Thus from the formula we can see how many standard deviation the score is from a men of the distribution by looking at the corresponding z-score.

7 0

3 years ago

Determine if the set is empty {x|x is a planet in our solar system whose name begins with F}