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3 years ago

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x ^3 + 3 = 57 Use the rules of equations and inverse operations to solve the equation. In your final answer, include all of your

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2 answers:

Svetach [21]3 years ago

5 0

X^3 + 3= 57
-3 -3

x^3= 54
3√x = 3√54

x= 3.78

satela [25.4K]3 years ago

4 0

Answer:

x^3 + 3= 57

-3 -3

x^3= 54

3√x = 3√54

x= 3.78

Step-by-step explanation:

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The sum of the length of any two sides of a triangle is greater than the length of the third side. And the abc, bc=4 and ac= 8-a

alisha [4.7K]

Answer:

ab<6 units

Step-by-step explanation:

One of the basic property of any triangle is that the sum of the length of any two sides of a triangle is always greater than the length of the third side.

Here we are given a triangle abc, in whicn bc=4

ac= 8-ab

If have to make some conclusion about ab.

As per the property discussed above

ab<ac+bc

ab<8-ab+4

2ab<12

ab<6

Hence the length of ab must be less than 6 units

5 0

3 years ago

What is the circumstance of a circle using 3 for pi and the radius is 7

Alisiya [41]

It is 43.96 because radius times 2 is diameter, so 7 times 2 is 14. 14 times pi or 3.14 is 43.96.

6 0

3 years ago

Office occupancy in a city is an indication of the economic health of the region in which it is located. A random sample of offi

Pani-rosa [81]

Answer:

$(0.13-0.1) - 2.58 \sqrt{\frac{0.13(1-0.13)}{165} +\frac{0.10(1-0.10)}{140}}=-0.0664$

$(0.13-0.1) + 2.58 \sqrt{\frac{0.13(1-0.13)}{165} +\frac{0.10(1-0.10)}{140}}=0.124$

We are confident at 99% that the difference between the two proportions is between $-0.0664 \leq p_1 -p_2 \leq 0.124$ . And since the confidence interval cotains the value 0 we don't have enough evidence to conclude that we have significant differences between the to proportions in these two cities

Step-by-step explanation:

$p_1$ represent the real population proportion for 1

$\hat p_1 =\frac{22}{165}=0.13$ represent the estimated proportion for 1

$n_1=165$ is the sample size required for 1

$p_2$ represent the real population proportion for 2

$\hat p_2 =\frac{14}{140}=0.10$ represent the estimated proportion for 2

$n_2=140$ is the sample size required for 2

$z$ represent the critical value for the margin of error

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_1 -\hat p_2) \pm z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}$

For the 99% confidence interval the significance is $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , and the critical value using the normal standard distribution.

$z_{\alpha/2}=2.58$

Replacing we got:

$(0.13-0.1) - 2.58 \sqrt{\frac{0.13(1-0.13)}{165} +\frac{0.10(1-0.10)}{140}}=-0.0664$

$(0.13-0.1) + 2.58 \sqrt{\frac{0.13(1-0.13)}{165} +\frac{0.10(1-0.10)}{140}}=0.124$

We are confident at 99% that the difference between the two proportions is between $-0.0664 \leq p_1 -p_2 \leq 0.124$ . And since the confidence interval cotains the value 0 we don't have enough evidence to conclude that we have significant differences between the to proportions in these two cities

8 0

3 years ago

Tyler is leaving a 15% tip on the bill for

dangina [55]

Answer:

b + b ÷ 20 • 5

Step-by-step explanation:

Calculate 15% of b: b ÷ 20 • 5
Add it to the original amount: b + b ÷ 20 • 5

4 0

4 years ago

Given f(x) = 21 - 1, complete the missing values in the table

Anna11 [10]

Answer:

first one is f(x)=-5

second one is f(x)=7

third one is x=-3

4th one is x=0

5th one is f(x)=1

6th one is x=-4

Step-by-step explanation:

first one. plug in x as -2:

f(x)=2*-2-1=-4-1=-5

second one is the same way:

f(x)=4*2-1=8-1=7

third one is a different one:

2x-1=-7

2x=-6

x=-3

4th one is the same way:

2x-1=-1

2x=0

x=0

5th way is the same thing as previous:

f(x)=2*1-1=2-1=1

Finally, the 6th one is the same thing as the 4th one:

2x-1=-9

2x=-8

x=-4

Done!

6 0

3 years ago