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2 years ago

Solve 3/4 + 1/6 - 2/3

Mathematics

2 answers:

bixtya [17]2 years ago

8 0

Answer: the answer is 1/4

Step-by-step explanation:

3/4 +1/6=11/12 (to add/subtract fractions you need to find LCD and then combine)

after you get 11/12 subtract it from 2/3= 1/4 (to add/subtract fractions you need to find LCD and then combine)

Makovka662 [10]2 years ago

5 0

Step-by-step explanation:

Step 1: Multiply and Divide both sides (3/4)

3/4 +1/16 - 2/3

= 3/4

Step 2: Multiply and Divide both sides (1/6)

3/4 + 1/6 - 2/3

= 1/6

Step 3: Multiply and Divide both sides (2/3)

3/4 + 1/6 - 2/3

= 2/3

Step 4: Add and Subtract both sides (3/4 + 1/6 - 2/3)

3/4 + 1/6 = 11/12

11/12 - 2/3

11/12 - 2/3 = 1/4

= 1/4

Explanation in words:

- The first step is to multiply and divide both sides by 3/4.

- The second step is to multiply and divide both sides by 1/6.

- The third step is to multiply and divide both sides by 2/3.

- The last step is to add and subtract both sides and the answer will end up being 1/4.

Easy Steps: See Attachment

Answer:

= 1/4

(Decimal: 0.25)

Hope this helps.

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Explain why the "+ C" is not needed in the antiderivative when evaluating a definite integral.

Aliun [14]

The reason the "+ C" is not needed in the antiderivative when evaluating a definite integral is; The C's cancel each other out as desired.

<h3>How to represent Integrals?</h3>

Let us say we want to estimate the definite integral;

I = $\int\limits^a_b {f'(x)} \, dx$

Now, for any C, f(x) + C is an antiderivative of f′(x).

From fundamental theorem of Calculus, we can say that;

$I = \int\limits^a_b {f'(x)} \, dx = \phi(a) - \phi(b)$

where Ф(x) is any antiderivative of f'(x). Thus, Ф(x) = f(x) + C would not work because the C's will cancel each other.

Read more about Integrals at; brainly.com/question/22008756

#SPJ1

8 0

1 year ago

A TV station claims that 38% of the 6:00 - 7:00 pm viewing audience watches its evening news program. A consumer group believes

Elena L [17]

Answer:

$z=\frac{0.340 -0.38}{\sqrt{\frac{0.38(1-0.38)}{830}}}=-2.374$

$p_v =P(Z$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of people that regularly watch the TV station’s news program is significantly less than 0.38 .

Step-by-step explanation:

1) Data given and notation

n=830 represent the random sample taken

X=282 represent the people that regularly watch the TV station’s news program

$\hat p=\frac{282}{830}=0.340$ estimated proportion of people that regularly watch the TV station’s news program

$p_o=0.38$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion is less than 0.38:

Null hypothesis: $p\geq 0.38$

Alternative hypothesis: $p < 0.38$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.340 -0.38}{\sqrt{\frac{0.38(1-0.38)}{830}}}=-2.374$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a left tailed test the p value would be:

$p_v =P(Z$

3 0

3 years ago

A bacteria culture contains 1500 bacteria initially and doubles every hour. (a) Find a function N that models the number of bact

Tpy6a [65]

Answer: a) $N(t)=1500(2)^t$

b) 25165824000

Step-by-step explanation:

The exponential equation for growth is given by :-

$y= ab^t$ , where a= initial value , b =multiplicative growth factor and t = time.

Given : A bacteria culture contains 1500 bacteria initially and doubles every hour.

i.e. a = 1500 and b= 2

Then, the function N that models the number of bacteria after t hours will be :

$N(t)=1500(2)^t$

To find , the number of bacteria after 24 hours , we put t= 24 in above equation , we get

$N(24)=1500(2)^{24}\\\\=1500(16777216)=25165824000$

Hence, the number of bacteria after 24 hours is 25165824000.

7 0

3 years ago

What is the answer to - 1/3 (x+6)=0

Sauron [17]

$(-\frac{1}{3})(x+6)=0\\\\\frac{1}{3}(x+6)*3=0*3\\\\-1(x+6)=0\\\\-(x+6)*-1=0*-1\\\\x+6=0\\\\x=-6$

3 0

3 years ago

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Find the measure of center: 9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25

marin [14]

Answer:

Mean : 16.75

Median: 15.5

Mode: 13

Step-by-step explanation:

Given/To Find:

Find the measure of center:

9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25

Solve:

Mean: Average

Formula: Adding all number in data then divide by the total number in data.

9 + 10 + 12 + 13 + 13 + 13 + 15 + 15 + 16 + 16 + 18 + 22 + 23 + 24 + 24 + 25 = 268

268/16 = 16.75

Median: Middle Number

Formula: Number in the middle

9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25

15 + 16 = 31

31/2 = 15.5

Mode: Most often number: 13

Kavinsky

7 0

2 years ago

Read 2 more answers