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Natalija [7]
3 years ago
14

The sum of 3/4 and 18/19 is closest to 0, 1, 2

Mathematics
2 answers:
QveST [7]3 years ago
6 0

Answer: 2

Explanation:

In order to sum two rational numbers, we should find their lowest common denominator. In this case, the two fractions are

\frac{3}{4}

\frac{18}{19}

so, their lowest common denominator is 4\cdot 19=76. So, the sum of the two numbers becomes

\frac{3}{4}+\frac{18}{19}=\frac{3 \cdot 19+18\cdot 4}{76}=\frac{57+72}{76}=\frac{129}{76}=1.697..

So, this number is closer to 2.


professor190 [17]3 years ago
5 0

Answer:

1.69 it is closest to 2.

Step-by-step explanation:

Given : \frac{3}{4} and  \frac{18}{19}

To find  : Sum

Solution We have given that  \frac{3}{4} and  \frac{18}{19}

\frac{3}{4} +  \frac{18}{19}

Least common multiple of 4 and 19 is 76

So, \frac{3*19}{4 *19} +  \frac{18 *4}{19*4}

\frac{57}{76} +  \frac{72}{76}

Now , the denominator is equal then combine the fraction

\frac{57 + 72}{76}

\frac{129}{76}

Sum  = 1.69

Therefore, 1.69 it is closest to 2.

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Answer:

Not enough detail.

Step-by-step explanation:

When asking the question please know which operation you are using to get the number '14,911'. If you were doing multiplication the answer would be 15.5. If it was addition it would be 14848.

Please make sure you ask the question with full detail next time.

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Ben paid $900 for a sofa .the price of the sofa juana purchased 2/3 the price that ben paid.how much did juana pay for her sofa
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What if the factor of b^2+11b-42
yKpoI14uk [10]

Answer:

b2+11b-42 = (b+14)(b-3) when factored

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Hypothesis Testing for Means with Small Samples
Scorpion4ik [409]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: volume of root beer in a Windsor Bottling Company can.

A sample of n=24 cans was taken and their contents measured, resulting:

X[bar]= 11.4 oz

S= 0.62 oz

Assuming that the variable has a normal distribution X~N(μ;σ²), the parameter of interest is the average contents of the root beer cans of the Windsor Bottling Company (μ)

The claim is that the population mean content of the cans is different from 12 oz, symbolically: μ ≠ 12

The statistical hypothesis (Null and alternative) have to be complementary, exhaustive and mutually exclusive. The null hypothesis is the "no change" hypothesis and always carries the "=" sign.

If the claim is μ ≠ 12, its complement is μ = 12, the expression carrying the "=" sign will be the null hypothesis and its complement will be the alternative hypothesis:

H₀: μ = 12

H₁: μ ≠ 12

α: 0.05

To test the population mean of this normal population, you have to apply a one sample t-test, with statistic:

t= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~t_{n-1}

t_{H_0}= \frac{11.4-12}{\frac{0.62}{\sqrt{24} } } = -4.74

This test is two-tailed, using the critical value approach, you have to determine two rejection regions. Meaning, you'll reject the null hypothesis to small values of the statistic or to high values of the statistic.

t_{n-1;\alpha /2}= t_{23;0.025}= -2.069

t_{n-1;1-\alpha /2}= t_{23;0.975}= 2.069

The decision rule is:

If t_{H_0} ≤ -2.069 or if t_{H_0} ≥ 2.069, then you reject the null hypothesis.

If -2.069 < t_{H_0} < 2.069, then you do not reject the null hypothesis.

The value is less than the left critical value, the decision is to reject the null hypothesis.

Then you can say that with a 5% significance level, there is significant evidence to reject the null hypothesis, then the average amount of root beer of the Windsor Bottling Company is different from 12 oz, this means that the claim about the amount of root beer in the cans is correct.

I hope it helps!

6 0
3 years ago
4. Calculate the surface area of this triangular prism.
attashe74 [19]

Answer:

Surface Area of a Triangular Prism Calculator

In the general surface area is defined as the total area the surface of the object occupies. A triangular prism is a polyhedron that  has a triangular base. It has 5 faces and 9 edges. Use our online surface area of a triangular prism calculator to efficiently calculate the total surface area occupied by the triangular based prism. Enter the triangle's sides, base, height, and prism height in the prism calculator to find the SA of the triangular prism.

Step-by-step explanation:

7 0
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