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3 years ago

What is the sum of 3/10 and 17/100

2 answers:

8 0

Sum is just another word for addition, so we have to add the two fractions.

3/10 + 17/100

Find the LCD of the denominators, hence the name 'least common denominator'. To do that, list out the multiples of each denominator and find the least common one.

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100
Multiples of 100: 100

The least common denominator is 100.
Now, divide the denominator of 3/10 to get the new denominator of 100. Whatever you do to the bottom, you have to do to the top.

(3 × 10) / (10 × 10) + 17/100

30/100 + 17/100

Since the denominators are the same now, we can add both of the numerators together.

(30 + 17) / 100

47/100

The answer is: 47/100 or 0.47.

alina1380 [7]3 years ago

5 0

3/10 + 17/100

first make the 10 of the 3/10 turn into a 100 so it will make the 100 of the 17/100.
to make 10 turn into a 100 you multiply it by 10. if you're going to multiply the bottom number by 10 then you have to do the same thing with the top number:
3/10 * 10/10
3*10=30
10*10=100

new equation:
30/100 + 17/100

now just add the top numbers and leave the 100's alone:
30/100 + 17/100
30+17=47
30/100 + 17/100 = 47/100

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Answer:

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Step-by-step explanation:

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3 years ago

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Convert the following rational number to a decimal. Round to the nearest thousandth when necessary. 11/12

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0.917

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4 years ago

BRAINLIEST if correct 2.0

Mandarinka [93]

Answer:

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Step-by-step explanation:

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3 years ago

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Suppose that the function f is defined. , for all real numbers, as follows.

aivan3 [116]

Answer: The values of......

$f(-5)=\frac{9}{4}\\ \\ f(-2)= -1\\ \\ f(4)=0$

Step-by-step explanation:

Given function is: $\left \{ {{f(x)= \frac{1}{4}x^2 -4, if x\neq -2} \atop {=-1, if x=-2}} \right.$

For $f(-5),$ the value of $x$ is -5, which is not equal to -2.

So, $f(-5)= \frac{1}{4}(-5)^2 -4 = \frac{1}{4}(25)-4 =\frac{25}{4}-4=\frac{25-16}{4}=\frac{9}{4}$

For $f(-2),$ the value of $x$ is -2.

So, $f(-2)= -1$

For $f(4),$ the value of $x$ is 4, which is not equal to -2.

So, $f(4)=\frac{1}{4}(4)^2 -4 =\frac{1}{4}(16)-4 =4-4=0$

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4 years ago

According to the WHO MONICA Project the mean blood pressure for people in China is 128 mmHg with a standard deviation of 23 mmHg

Alja [10]

Answer:

a) Let X the random variable that represent the blood pressure for people of a population, and for this case we know the distribution for X is given by:

$X \sim N(128,23)$

Where $\mu=128$ and $\sigma=23$

b) $P(X\geq 135)=P(\frac{X-\mu}{\sigma}\geq \frac{135-\mu}{\sigma})=P(Z\geq \frac{135-128}{23})=P(Z\geq 0.304)$

And we can find this probability using the complement rule:

$P(Z\geq 0.304)=1-P(Z$

And in order to find this probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(Z\geq 0.304)=1-P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the blood pressure for people of a population, and for this case we know the distribution for X is given by:

$X \sim N(128,23)$

Where $\mu=128$ and $\sigma=23$

Part b

We are interested on this probability

$P(X\geq 135)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

$P(X\geq 135)=P(\frac{X-\mu}{\sigma}\geq \frac{135-\mu}{\sigma})=P(Z\geq \frac{135-128}{23})=P(Z\geq 0.304)$

And we can find this probability using the complement rule:

$P(Z\geq 0.304)=1-P(Z$

And in order to find this probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(Z\geq 0.304)=1-P(Z$

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4 years ago