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2 years ago

What is 1/3 add 1/4

2 answers:

6 0

$\frac{1}{3} + \frac{1}{4} = \frac{1\times 4}{3\times 4} + \frac{1\times 3}{4\times 3} = \frac{4}{12} + \frac{3}{12} = \frac{4+3}{12} = \boxed{\frac{7}{12}}$

Natasha2012 [34]2 years ago

5 0

1/3 plus 1/4 equals 7/12.

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When is a protractor preferred to a ruler when finding a measurement

Keith_Richards [23]

When measuring an angle.

7 0

2 years ago

Which expression is equivalent to [(3xy^-5)^3/(x^-2y^2)^-4]^-2?

Mademuasel [1]

Answer:- a.The given expression is equivalent to $\frac{x^{10}y^{14}}{729}$

Given expression:- $[\frac{(3xy^{-5})^3}{(x^{-2}y^2)^{-4}}]^{-2}$

$=[\frac{(3)^3x^3y^{-5\times3}}{x^{-2\times-4}y^{2\times-4}}]^{-2}.........(a^m)^n=a^{mn}$

$=[\frac{27x^3y^{-15}}{x^8y^{-8}}]^{-2}$

$=[27x^{3-8}y^{-15-(-8)}]^{-2}............\frac{a^m}{a^n}=a^{m-n}$

$=[27x^{-5}y^{-7}]^{-2}=(27)^{-2}(x^{-5})^{-2}(y^{-7})^{-2}.........(a^m)^n=a^{mn}$

$=\frac{1}{(27)^2}(x^{10}y^{14})=\frac{x^{10}y^{14}}{729}$

Thus a. is the right answer.

6 0

3 years ago

Read 2 more answers

Juan used the expression 16 – 9 – 12 + 22 to find his profit for days 2 and 3. He rewrote the expression as 16 + (–9) + (–12) +

malfutka [58]

Jaun has to use inverse before using those properties as they does not support subtraction but only addition.

Solution:

Given that , Juan used the expression 16 – 9 – 12 + 22 to find his profit for days 2 and 3.

He rewrote the expression as 16 + (–9) + (–12) + 22

Juan can use the associative and commutative properties to rewrite the expression again.

We have to explain why he had to use the additive inverse before he could use these properties.

Now, Associative property and commutative property true for addition.

i) a + (b + c) = (a + b) + c ---> Associative property of addition

ii) a + b = b + a --> commutative property of addition.

These properties not true for subtraction.

That's the reason Juan used additive inverse before applying these property.

Hence, jaun has to use inverse before using those properties as they does not support subtraction but only addition.

8 0

3 years ago

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Chi square Daphne likes to ski at a resort that is open from December through April. According to a sign at the resort, 20, perc

Marat540 [252]

Answer:

There is not enough evidence to suggest that the snow falls in Daphne's hometown does not follow the given distribution.

Step-by-step explanation:

The missing data for the random sample of 80 days between December and April with snowfall is:

Month Days

December 16

January 11

February 16

March 18

April 19

The Chi-square goodness of fit test would be used to determine whether the snow falls in Daphne's hometown followed the given distribution.

The hypothesis for the test can be defined as follows:

H₀: The snow falls in Daphne's hometown does not follow the given distribution.

Hₐ: The snow falls in Daphne's hometown followed the given distribution.

Assume that the significance level of the test is, α = 0.05.

The Chi-square test statistic is given by:

$\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}$

The value of Chi-square test statistic is computed in the Excel sheet below.

$\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}=8.383$

Compute the p-value as follows:

$\text{p-value}=P(\chi^{2}_{(4)}>8.383)=CHISQ.DIST.RT(8.383,4)=0.0785$

The p-value of the test is 0.0785.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

p-value = 0.0785 > α = 0.05.

The null hypothesis will not be rejected.

Conclusion:

There is not enough evidence to suggest that the snow falls in Daphne's hometown does not follow the given distribution.

4 0

3 years ago

Can someone please help?

vovikov84 [41]

Answer:

x=86

Step-by-step explanation:

we know that all the angles in a triangle add up to 180 degrees.

if you add 74+20, you get 94. then, subtract 94 from 180 to get 86! sorry if this is wrong i tried my best T^T

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2 years ago

Read 2 more answers