Find the value of 5 2^ 3.

Answers

Answer 1

Answer: $5* 2^3 = 5* (2* 2* 2) = 5 * 8 = \boxed{\bf{40}}$

Related Questions

What is the best estimate length of a football
What is the weights maximum displacement? Please help and explain!
In the equation 2x - y = 4, the x-intercept is 2 and the y-intercept is -4.
Plssssssss help me -6(3-3a)-8(6a+5)=32
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. y = x³, y = √ x about the x-axis V= ?

A machine that produces a major part for an airplane engine is monitored closely. In the past, 10% of the parts produced would be defective. With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is

Answers

Answer: 216

Step-by-step explanation:

The formula to find the sample size , if prior population proportion is known :-

$n=p(1-p)((z_(\alpha/2))/(E))^2$

Given : The prior proportion of defective parts : p= 0.10

Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_(\alpha/2)=1.96$

Margin of error : $E=0.04$

Now, the required sample size will be :-

$n=0.1(0.9)(((1.96))/(0.04))^2=216.09\approx216$

Hence, the minimum required sample size = 216

Final answer:

To achieve a margin of error of .04 or less with a 95% confidence level when the defect rate is 10%, at least 217 samples need to be taken.

Explanation:

The question pertains to the field of statistics, specifically sample sizes and margin of error. In order to estimate the minimum sample size needed to achieve a desired margin of error of .04 or less, we can use the formula for sample size in proportions: n = (Z^2*p*(1-p))/E^2.

In this formula:

Z refers to the z-value which, for a 95% confidence level, is 1.96.
p is the estimated proportion of defective parts, which in this case is 0.1 or 10%.
E is the desired margin of error, which is 0.04.

Substitute the values into the formula: n = (1.96^2*0.1*0.9)/(0.04^2), yielding n=216.09.

Since we can't have a fraction of a sample, we round up to get n = 217. Therefore, we need a sample size of 217 to reach a margin of error of .04 or less with a 95% confidence level.

Learn more about Sample Size Calculation here:

brainly.com/question/34288377

#SPJ3

How can you apply the Addition Rule and interpret the answer in terms of the model?

Answers

We can apply the addition rule in the simple way as the addition of two addition .

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

Given two function f and g

Function addtion; f + g.

It is the addition of two functions similar to the addition of any two polynomial functions.

we can apply the addition rule in the simple way as the addition of two addition .

Learn more about function;

brainly.com/question/14438192

#SPJ2

P(A or B) = P(A) + P(B)

if u have a dice and want to roll 1 or 2
P(1) = 1/6
P(2) = 1/6

P(1 or 2) = 1/6 + 1/6 = 2/6 = 1/3

By rounding each number to 1 significant figure,estimate the answers to:
a)
8.2 x 6.7÷0.46

Answers

The estimated answer is 119.4

Here the number to be solved is

8.2 × 6.7 ÷0.46

8.2× 14.5652

= 119.4347

But here in the question, it is asked to round the number up to 1 significant figure. 1 significant figure means that only one number should be there after the decimal. Some example are

98.7645 ≈98.8

67.787 ≈67.9

Therefore the solution answer is 119.43478, and after rounding it up to 1 significant figure the answer of the solution is 119.4

To know more about the significant figure refer to the link given below:

brainly.com/question/24630099

#SPJ1

Final answer:

The question involves rounding off numbers to one significant figure and then performing a mathematical operation. By rounding off the given numbers and performing the operation, we get the value of '112'. However, rounding might affect the accuracy of the result.

Explanation:

The subject of this question is the process of rounding off numbers before you perform a calculation. The question is: By rounding each number to 1 significant figure, calculate the value of '8.2 x 6.7 ÷ 0.46'.

Firstly, we need to round off these numbers. So, '8.2' becomes '8', '6.7' becomes '7', and '0.46' becomes '0.5' when rounded to one significant figure.

Now we will calculate the expression using those rounded numbers.

Therefore, '8 x 7 ÷ 0.5' equals '112'.

So, by rounding each number to 1 significant figure, '8.2 x 6.7 ÷ 0.46' equals '112'.

It's important to note that rounding can affect the accuracy of your results, especially with more complex expressions or equations. In some situations, it's better to perform the calculation first and then round off the final result. This depends on the precision required for the task at hand.

Learn more about Rounding off Numbers here:

brainly.com/question/36043776

#SPJ3

If ABC ~ DEC, solve for x. The image is not drawn to scale.A.
x = 2
B.
x = 3
C.
x = 4
D.
x = 13

Answers

Answer: A. x = 2

Step-by-step explanation:

In the given picture we have $\triangle{ABC}\sim\triangle{DEC}$

Since, we know that the corresponding sides in similar triangles are in proportion.

Therefore, we have

$(CD)/(AC)=(CE)/(BC)\n\n\Rightarrow(8+x)/(6)=(19-2x)/(11-x)\n\n\Rightarrow\ (11-x)(8+x)=6(19-2x)\n\n\Rightarrow\ 88 + 3x -x^2=114-12x\n\n\Rightarrow x^2-15x+26=0\n\n\Rightarrow\ (x-13)(x-2)=0\n\n\Rightarrow\ x=13,2$

But x can not be 13 because BC=11-13=-2, which is not possible.

Therefore, the value of x=2.

$If\ \Delta ABC\sim\Delta DEC\ then:\n\n(19-2x)/(11-x)=(8+x)/(6)\ where\ x\in(-8;\ 11)\ \ \ |cross\ multiply\n\n(11-x)(8+x)=6(19-2x)\n11(8)+11(x)-x(8)-x(x)=6(19)+6(-2x)\n88+11x-8x-x^2=114-12x\n-x^2+3x+88=114-12x\ \ \ |subtract\ 114\ from\ both\ sides\n-x^2+3x-26=-12x\ \ \ \ \ |add\ 12x\ to\ both\ sides\n-x^2+15x-26=0\ \ \ \ |change\ signs\nx^2-15x+26=0\nx^2-2x-13x+26=0\nx(x-2)-13(x-2)=0\n(x-2)(x-13)=0\iff x-2=0\ or\ x-13=0\n\nx=2\in(-8;\ 11)\ or\ x=13\notin(-8;\ 11)\n\nAnswer:\boxed{\boxed{A.\ x=2}}$

16. What's 10∕12 written as a fraction in simplest form?A. 5∕6
B. 3∕5
C. 10∕6
D. 5∕12

17. Solve 6∕7 ÷ 36∕56 and put answer in simplest form.

A. 2∕8
B. 4∕3
C. 8∕6
D. 6∕8