All categories

3 years ago

How to work out 5-[5+8÷4-1]

Mathematics

2 answers:

NISA [10]3 years ago

8 0

Hey there!

$5 - [5 + \frac{8}{4} - 1] \\ \frac{8}{4} = 2 \\ 5-[5+2 -1] \\ 5+2 = 7 \\ 5 [ 7-1] \\ 7 - 1 = 6 \\ 5 - 6 = -1 \\ Answer: -1$

Good luck on your assignment and enjoy your day!

~ $LoveYourselfFirst:)$

rodikova [14]3 years ago

6 0

PEMDAS (order of operations rules) require that we perform operations in a certain order: anything inside parentheses first, followed by any exponentiation, followed by mult. and div., finally followed by addition and subtraction.

Thus, we must evaluate 5+8÷4-1 first, as it's inside parentheses. Focusing on the division first, we get 5+8÷4-1 = 5 + 2 - 1, or 6.

Then we have 5 - [6], which comes out to -1.

You might be interested in

You put the names of all the students in your class in a paper bag. There are 19 boys and 12 girls. If you draw a name at random

Andrei [34K]

Answer:

19/31

Step-by-step explanation:

12+19=31

there are 19 guys names out of a total of 31 names.

4 0

3 years ago

What is the actual train length 54.4 meters what is the scale used to make the model

melisa1 [442]

Answer:

vhebjhdgevdbheghdendendndh

Step-by-step explanation:

dhnehdbhdnhhhhhhbfndbedd

7 0

3 years ago

What is the simplified form of this expression 7(^3sqrt2x)-3(^3sqrt16x)-3(^3sqrt8x)

trasher [3.6K]

Answer:

Solution,

$7( \sqrt[3]{2x} ) - 3( \sqrt[3]{16x} ) - 3( \sqrt[3]{8x} ) \\ = 7 \sqrt[3]{2x} - 3 \times ( \sqrt[3]{2 \times 2 \times 2 \times 2x} - 3 \times \sqrt[3]{2 \times 2 \times 2x} \\ = 7 \sqrt[3]{2x} - 3 \times (2 \sqrt[3]{2} x) - 3 \times 2x \\ = 7 \sqrt[3]{2x} - 3 \times 2 \times \sqrt[3]{2x} - 3 \times 2x \\ = 7 \sqrt[3]{2x} - 6 \sqrt[3]{2x} - 6x$

Hope this helps...

Good luck on your assignment...

7 0

3 years ago

Granola Crunch cereal is packaged in 1 pound boxes. Susan Torres, a quality control analyst who works for the manufacturer of th

sineoko [7]

Answer:

$z=\frac{1.02-1}{\frac{0.04}{\sqrt{40}}}=3.162$

$p_v =2*P(z>3.162)=0.0016$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to to reject the null hypothesis, so we can conclude that the true mean is different from 1 pound at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=1.02$ represent the sample mean

$\sigma=0.04$ represent the population standard deviation

$n=40$ sample size

$\mu_o =1$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

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

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is equal to 1 pound or no :

Null hypothesis: $\mu =1$

Alternative hypothesis: $\mu \neq 1$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{1.02-1}{\frac{0.04}{\sqrt{40}}}=3.162$

P-value

Since is a two-sided test the p value would be:

$p_v =2*P(z>3.162)=0.0016$

Conclusion

5 0

3 years ago

The denominator of a rational numbers is twice it’s numerator if the numerator is decreased by 3 and the denominator increased b

ASHA 777 [7]

Answer:

$\frac{29}{58}$

Step-by-step explanation:

let x be the numerator of the rational number then 2x is the denominator

original fraction = $\frac{x}{2x}$

subtracting 3 from numerator and adding 7 to denominator , gives

$\frac{x-3}{2x+7}$ = $\frac{2}{5}$ ( cross- multiply )

5(x - 3) = 2(2x + 7) ← distribute parenthesis on both sides )

5x - 15 = 4x + 14 ( subtract 4x from both sides )

x - 15 = 14 ( add 15 to both sides )

x = 29

rational number = $\frac{29}{58}$

8 0

2 years ago