1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Arisa [49]
3 years ago
5

What is 1/2 + 1/6, please explain, I'm very bad at math

Mathematics
1 answer:
Masja [62]3 years ago
4 0

Answer:

Before adding, we need to make sure the denominators are the same. We can do so by multiplying the fraction by a common multiple. In this case, 3 is a multiple of 6, so we can change 1/2 to 3/6. 3/6 is still equal to 1/2, so nothing changes.

Now we have 3/6+1/6, which is 4/6 (add the numerator).

4/6 can be simplified to 2/3 and 2 is a multiple of 4 and 6.

So, therefore, the answer is 2/3.

You might be interested in
Can somebody explain this to me when 2du = 16xdx ???
tamaranim1 [39]
When you set u=4x^2+4, you end up with the differentials \mathrm du=8x\,\mathrm dx. Multiplying both sides by 2 gives 2\,\mathrm du=16x\,\mathrm dx.

Then the integral is

\displaystyle\int_0^1\frac{16x}{(4x^2+4)^2}\,\mathrm dx=\int_4^8\frac2{u^2}\,\mathrm du=-\frac2u\bigg|_{u=4}^{u=8}=-2\left(\frac18-\frac14\right)=\frac14
8 0
3 years ago
What is the average acceleration of a southbound train that slows down from 15 m/s to 8.6 m/s in 1.2 s?
horrorfan [7]

Answer:

The average acceleration of train is 5.34\ m/s^2

Step-by-step explanation:

We have,

A train that slows down from 15 m/s to 8.6 m/s in 1.2 s. It means that 15 m/s is its initial velocity and 8.6 m/s is its final velocity.

It is required to find the average acceleration of the train.

a=\dfrac{v-u}{t}\\\\a=\dfrac{(8.6-15)\ m/s}{1.2\ s}\\\\a=-5.34\ m/s^2

The average acceleration of train is 5.34\ m/s^2.  Negative signs shows that the train is decelerating.

5 0
3 years ago
A study investigating the relationship between age and annual medical expenses randomly samples 400 individuals in a city. It is
ICE Princess25 [194]

Answer:

The probability is 0.789

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\sigma = 16, n = 400, s = \frac{16}{\sqrt{400}} = 0.8

Find the probability that the mean age of the individuals sampled is within one year of the mean age for all individuals in the city.​

Using \mu = 30, this is the pvalue of Z when X = 31 subtracted by the pvalue of Z when X = 29. So

X = 31

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{31 - 30}{0.8}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

X = 29

Z = \frac{X - \mu}{s}

Z = \frac{29 - 30}{0.8}

Z = -1.25

Z = -1.25 has a pvalue of 0.1056

0.8944 - 0.1056 = 0.7888

Rounded to three decimal places, 0.789

The probability is 0.789

4 0
3 years ago
Read 2 more answers
The speedy fast ski resort has started to keep track of number of skiers and snowboarders who bought season passes. The ratio of
pogonyaev
1250 skiers bought season passes

2500 snowboarders bought season passes
5 0
4 years ago
Together, Katya and Mimi have 480 pennies in their piggy banks. After Katya lost ½ of her pennies and Mimi lost 2/3 of her penni
labwork [276]
Pennies
360
5 0
3 years ago
Other questions:
  • How many triangles can be constructed with Three angles each measuring 60 degrees
    11·1 answer
  • You used 5 cups of flour to bake 80 cookies.How many cups do you need if you are planning to bake 144 cookies?
    12·1 answer
  • A system of equations is shown below:
    14·1 answer
  • Pease help me on the question in the photo
    9·1 answer
  • Kevin claims he can draw a trapezoid with three right angles. Is this possible? Explain.
    6·2 answers
  • The legs of a triangle measure 8 cm and
    10·1 answer
  • the table represent the consumer price index for a basket of goods and services for 3 consecutive years. calculate the inflation
    10·1 answer
  • The zeros of a function are the values of for which the function is equal to zero. Enter a number in each blank to make true sta
    7·1 answer
  • Helppppp me please heheheh
    11·2 answers
  • Who is the an employer?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!