Find the exact value. (SIMPLIFY & RATIONALIZE all answers!)
Sin195

If Samantha is 80cm tall and Nora's height is 4cm less twice the height of Samantha then Nora is 156 cm tall

Algebraic expression is made up of variables and constants, along with algebraic operations such as addition and subtraction.

Samantha is 80 cm tall.

Nora's height  is 4cm less twice the height of Samantha. Therefore, Nora's height is represented as follows;

Nora's height = 160 - 4

Nora's height = 156 cm

learn more on algebraic expression here: https://brainly.com/question/953809

Answer:

.

Step-by-step explanation:

1.

Alpha = 0.05. alpha/2 = 0.025

Under the z table

Z 0.025 = 1.96

50+-1.96(2/√100)

= 50+-0.39

50+0.39 = 50.39

50-0.39 = 49.61

2.

At 99%

Alpha = 0.01

Alpha/2 = 0.005

In z table

= 2.58

50+-(2.58)(2√100)

= 50 +- 0.52

= 50+0.52 = 50.52

50 - 52 = 49.48

Please check attachment for answers 3 to 5. The test editor did not work properly. It kept flagging some of my typed content.

Using the z-distribution, it is found that:

a) The 95% confidence interval for the mean breaking strength of this type of wire, in kN, is (49.61, 50.39).

b) The 99% confidence interval for the mean breaking strength of this type of wire, in kN, is (49.49, 50.52).

c) The confidence level is of 86.64%.

d) 171 wires must be sampled.

e) 295 wires must be sampled.

We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.

The information given is:

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

The margin of error is of:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

Item a:

The first step is finding the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.

In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.

Hence, the interval is:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 50 - 1.96\frac{2}{\sqrt{100}} = 49.61[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 50 + 1.96\frac{2}{\sqrt{100}} = 50.39[/tex]

The 95% confidence interval for the mean breaking strength of this type of wire, in kN, is (49.61, 50.39).

Item b:

[tex]\alpha = 0.99[/tex], thus, z with a p-value of [tex]\frac{1 + 0.99}{2} = 0.995[/tex], which means that it is z = 2.575.

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 50 - 2.575\frac{2}{\sqrt{100}} = 49.49[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 50 + 2.575\frac{2}{\sqrt{100}} = 50.52[/tex]

The 99% confidence interval for the mean breaking strength of this type of wire, in kN, is (49.49, 50.52).

Item c:

The margin of error is:

[tex]M = \frac{50.3 - 49.7}{2} = 0.3[/tex]

Hence:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.3 = z\frac{2}{\sqrt{100}}[/tex]

[tex]0.2z = 0.3[/tex]

[tex]z = 1.5[/tex]

z = 1.5 has a p-value of 0.9332, hence:

[tex]\frac{1 + \alpha}{2} = 0.9332[/tex]

[tex]1 + \alpha = 2(0.9332)[/tex]

[tex]\alpha = 0.8664[/tex]

The confidence level is of 86.64%.

Item d:

This is n for which M = 0.3, with z = 1.96, hence:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.3 = 1.96\frac{2}{\sqrt{n}}[/tex]

[tex]0.3\sqrt{n} = 1.96(2)[/tex]

[tex]\sqrt{n} = \frac{1.96(2)}{0.3}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96(2)}{0.3}\right)^2[/tex]

[tex]n = 170.7[/tex]

Rounding up, 171 wires must be sampled.

Item e:

Now z = 2.575, hence:

[tex](\sqrt{n})^2 = \left(\frac{2.575(2)}{0.3}\right)^2[/tex]

[tex]n = 294.7[/tex]

Rounding up, 295 wires must be sampled.

A similar problem is given at https://brainly.com/question/25325640

Answer:

A: yes

B: no

C: yes

D: no

Step-by-step explanation:

edit: just realized the person above put the same answer. I am positive we have the correct answer.

Answer:

5.5

Step-by-step explanation:

Answer: 5 1/2

Step-by-step explanation:

uhh just multiply using the exact value

Answer:

A ) 0.2090 B) .2090

Step-by-step explanation:

∙Let random variable XX represent the number of accidents due to speed violation among 8 automobile accidents.

Lets consider it success if an accident is due to speed violation.

-Probability of a success in each trial is p = 6/10 = 0.6

-Because the trials are independent, XX has a binomial distribution with parameters n = 8n=8 and p = 0.60p=0.60

​

The probability that among 8 automobile accidents, 6 will be due mainly to a speed violation will be 0.75.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that, the probability that among 8 automobile accidents, 6 will be due mainly to a speed violation.

In everyday life, risk modeling and assessment involve the use of probability theory. Actuarial science is used by the insurance sector and markets to set pricing and decide which securities to trade. Environmental regulation, entitlement analysis, and financial regulation are all areas where governments use probabilistic methods.

Probability =favorable outcome/ total outcome

Probability = 6/8

Probability =0.75

Thus, the probability that among 8 automobile accidents, 6 will be due mainly to a speed violation will be 0.75.

Learn more about the probability here:

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#SPJ2

Answer:

For -1 3/8: 11/8

2 4/5: 14/5

Step-by-step explanation:

When you have a mixed number, take the whole number and multiply it by the denominater, then add the numerator to the product. That whole answer will be the new numerator, but the denominator won't change.

Answer: C

Step-by-step explanation:

Answer:

[tex]solve for x\\\\x=\frac{5}{11}[/tex]

[tex]factor\\(x-5)x(x-7)[/tex]

Step-by-step explanation:

[tex]solve for x\\15=\frac{5}{x}+4\\ -\frac{5}{x}=4-15\\-\frac{5}{x} =-11\\\frac{11x}{11} =\frac{5}{11} \\x=\frac{5}{11}[/tex]  

[tex]factor\\x^{2} -12x+35\\x^{2} -5x-7x+35\\x(x-5)-7(5-x) \\ (x-5)*(x-7)[/tex]

Answer:

5

Step-by-step explanation:

1. Multiply it seperatly, 8 x 5 and 10 x 5

2. Put it back into it's fraction form, 40/50

3. there you go! The answer is "Multiplying the numerator and denominator of 8/10 by 5 creates the equivalent fraction 40/50."

These are just some

equivalent fractions of 40/50:

4/5 = 8/10 = 12/15 = 16/20

20/25 = 24/30 = 28/35 = 32/40

Answer:

if u played the game 6 times u would most likely get $7 but lose $5 so u would get $2 but more chances for u to gain money then lose it so if the game was full probability u should go for it. But casino games r a waste and uselessly rigged so ditch it.

Answer:

11 + 22 + 19 = 52

Step-by-step explanation:

You can simplify 52 into 13, here's why ↓

4 x 13 = 52

Answer:

Step-by-step explanation:

156 minutes

2 hours 36 minutes is how long it take Gwen!

The rate at which the family eats apples on a daily basis is an illustration of a linear model

The linear model of the scenario is a(t) = -9t + 128

Linear models are used to illustrate scenarios with constant rates

A linear model is represented as:

a(t) = mt + b

Where:

Substitute known values in the above equation

a(t) = -9t + 128

Hence, the linear model of the scenario is a(t) = -9t + 128

Read more about linear models at:

https://brainly.com/question/15602982

Step-by-step explanation:

take the reference of the above picture

hope that helps

Answer:

-22

Step-by-step explanation:

h(5)=-5•5+3

h(5)=-25+3

h(5)=-22

Answer:

-22

Step-by-step explanation:

Replace x with 5 and multiply tge -5 by 5 wich equals -25 and add 3 which would make -22

age

Step-by-step explanation:

it's countable because we can't count eye colour

Answer:

Now, let x equal the number:

10 times the number is 10x.

Sum of 10 times the number and 15, means sum of 10 times the number plus 15, which is 10x + 15.

Eleven times the same number, means 11 times x, which is 11x.

Sum of 10 times a number and fifteen is added to eleven times the same number is therefore: 10x + 15 + 11x = 21x + 15

Step-by-step explanation:

Answer:

3 4/33

Step-by-step explanation:

Answer:

you got to multipply those numbers

Step-by-step explanation:

Answer:

A. This is a functional relationship

Step-by-step explanation:

y=8x−5

Use the slope-intercept form to find the slope and y-intercept.

Slope: 8

y-intercept: (0,−5)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

x | Y

0 | -5

5/8 | 0

Graph...

On the graph, you can see each x value corresponds with only one y value.

Mary new salary is $163,200

2% means 2 / 100 = 0.02

A raise implies addition to the original amount, therefore

160000 + 0.02 * 160000

160000 + 3200

163200

Answer: x = 5

Step-by-step explanation:

We can set up an equation to solve for x:

3x  + 4 = 19

We can subtract 4 from both sides:

3x = 15

We can divide both sides by 3:

x = 5

[tex]xe^y+4\ln y=x^2[/tex]

Differentiate both sides with respect to x, assuming y = y(x).

[tex]\dfrac{\mathrm d(xe^y+4\ln y)}{\mathrm dx}=\dfrac{\mathrm d(x^2)}{\mathrm dx}[/tex]

[tex]\dfrac{\mathrm d(xe^y)}{\mathrm dx}+\dfrac{\mathrm d(4\ln y)}{\mathrm dx}=2x[/tex]

[tex]\dfrac{\mathrm d(x)}{\mathrm dx}e^y+x\dfrac{\mathrm d(e^y)}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x[/tex]

[tex]e^y+xe^y\dfrac{\mathrm dy}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x[/tex]

Solve for dy/dx :

[tex]e^y+\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x[/tex]

[tex]\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x-e^y[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x-e^y}{xe^y+\frac4y}[/tex]

If y ≠ 0, we can write

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2xy-ye^y}{xye^y+4}[/tex]

At the point (1, 1), the derivative is

[tex]\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=1,y=1}=\boxed{\dfrac{2-e}{e+4}}[/tex]

Question :-

Answer :-

Explanation :-

As per the provided information in the given question, we have been given that the Height of Cylinder is 16 feet and the Diameter is given as 22 feet . And, we have been asked to calculate the Volume of Cylinder .

For calculating the Volume , first we need to find Radius of Cylinder .

Here, we will find the Radius :-

[tex] \bigstar \: \: \boxed{ \sf{ \: Radius \: = \: \dfrac{Diameter}{2} \: }} [/tex]

[tex] \longmapsto \: \: \sf { Radius \: = \: \dfrac{ \: 22 \: }{2} \: } [/tex]

[tex] \longmapsto \: \: \bf { Radius \: = \: 11 \: Feet } [/tex]

Now, we will find Volume of Cylinder :-

[tex] \bigstar \: \: \boxed{ \sf{ \: Volume \: _{Cylinder} \: = \: \pi r^{2} h \: }} [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{22}{7} \: \times \: ({11})^{2} \: \times \: 16 } \\ [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{22}{7} \: \times \: 121 \: \times \: 16 } \\ [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{22}{7} \: \times \: 1936 } \\ [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{22 \: \times \: 1936}{7}} \\ [/tex]

[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{ \: 42592 \:}{7}} \\ [/tex]

[tex] \longmapsto \: \: \bf {Volume \: _{Cylinder} \: = \: 6084.5 \: Feet^{3}} [/tex]

[tex] \underline {\rule {180pt} {4pt}} [/tex]

Formula Used :-

[tex] \Longrightarrow \: \: \boxed{ \sf{ \: Volume \: _{Cylinder} \: = \: \pi r^{2} h \: }} [/tex]

Where ,

The volume of the given cylinder.

[tex]v = \pi {r}^{2} h[/tex]

[tex]v = \pi \times {11}^{2} \times 16[/tex]

[tex]v = 6082.12338 \: {ft}^{3} [/tex]

[tex]v = 6082.12 \: {ft}^{3} (2 \: dp)[/tex]

Therefore, the volume of the given cylinder is 6082.12 cubic feets.

Answer:

$9 per visit

Step-by-step explanation:

set up equation

variable x = dollers per visit

8x = 72

goal is to isolate the variable

divide both sides by 8 to do so

8x ÷ 8 = 72 ÷ 8

1x = 9

x = 9

Answer:

D) 1

Step-by-step explanation:

took on edge

Answer:

D-1

Step-by-step explanation:

Ed2021

Answer:

18

Step-by-step explanation:

To find volume you have to use the formula (length x width x height.)

So by looking at it you can see that it's 3 units long, 3 units in wide, and 2 units tall. Knowing that, you then plug in those numbers to the formula. That would be 3x3x2. Any calculator will work.

Answer:

8000

Step-by-step explanation:

I'm not sure of it