Arc length and sector area question

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:

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:

8000

Step-by-step explanation:

I'm not sure of it

Answer:

Step-by-step explanation:

[tex]5^{7}[/tex] + [tex]5^{6}[/tex] = 5 × [tex]5^{6}[/tex] + [tex]5^{6}[/tex] = [tex]5^{6}[/tex] ( 5 + 1 ) = [tex]5^{6}[/tex] · 6

Hey there!

[tex] -› \: {5}^{7} + {5}^{6} [/tex]

[tex]-› 78,125 + 15,625[/tex]

[tex]-› \: 93750[/tex]

[tex]-› \: 93750 \div 6[/tex]

[tex]-› \: 15625[/tex]

Therefore, It's divisible by 6

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

x + (1 + 33%) = 266

x * 1,33 = 266

x = 266 : 1,33

x = 200

Hello

x + 0.33 x =  266

1.33 x = 266

x =  - 200

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:

a)2.09

b) 0.2

c) 130 correspondents

d) 5.38 hours per day

e) 69%

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where

x is the raw score,

μ is the population mean,

σ is the population standard deviation.

Mean = average of 2.98 hrs/day, Standard deviation = 2.4 hours.

a) What is the Z score for a person who watches more than 8 hrs/day.

z = (x-μ)/σ

= 8 - 2.98/2.4

= 2.09167

≈ 2.09

b) What proportion of people watch 5 hrs/day or more television?

z = (x-μ)/σ

= 5 - 2.98/2.4

= 0.84167

P-value from Z-Table:

P(x<5) = 0.80001

The proportion that watches 5 hrs/day or more television?

P(x>5) = 1 - P(x<5) = 0.19999

≈ 0.2

c) How many does this correspond to in the sample?

From the question we are told:

650 GSS respondents in 2006 watched television for an average of 2.98 hrs/day, with a standard deviation of 2.4 hours.

Hence, the proportion that corresponds to people who watch 5 hrs/day or more television form the samples is

0.2 × 650

= 130 correspondents.

d) What number of television hours per day corresponds to a Z +1.

z = (x-μ)/σ

+1 = x - 2.98/2.4

Cross Multiply

1 × 2.4 = x - 2.98

2.4 = x - 2.98

x = 2.4 + 2.98

x = 5.38 hours per day

e) What is the percentage of people who watch between 1 and 6 hours of television per day?

Step 1

For 1 hour

z = (x-μ)/σ

= 1 - 2.98/2.4

= -0.825

Probability value from Z-Table:

P(x = 1) = 0.20469

Step 2

For 6 hours

z = (x-μ)/σ

= 6 - 2.98/2.4

= 1.25833

Probability value from Z-Table:

P(x = 6) = 0.89586

The percentage of people who watch between 1 and 6 hours of television per day is

P(x = 6) - P(x = 1)

= 0.89586 - 0.20469

= 0.69117

Converting to percentage =

0.69117 × 100

= 69.117 %

Approximately = 69%

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:

A. 450

Step-by-step explanation:

Answer:

its a the answer 450

Step-by-step explanation:

Here is why

2(67+8) (3)

= (2) (75) (3)

=(150) (3)

= 450

hope it helps

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.

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:

brainly.com/question/11234923

#SPJ2

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:

320,000,000 * 0.638 = 204,160,000

Step-by-step explanation:

Assuming the sample is a good representation of the people from the United States.

Since there were 1,000 surveyed... and 638 of them were wearing glasses, that makes a proportion of 638 out of 1,000 people, or 63,8 / 100 people... so 63.8%... or 0.638

So, if we assume that the US population is of 320 million, how many people does that make wearing glasses.... we just have to multiply 320M by 0.638

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

The equation is missing and it is;

(2/5)x - 3/2 = (5/2)x + 6

Complete options are;

A. Jessie is correct because 3/2 can first be added to both sides of the equation.

B. Robin is correct because both sides of the equation can first be multiplied by 10

C. Both are correct because the first step can be either to add 3/2 or to multiply by 10 on both sides of the equation.

D. Neither is correct because neither adding nor multiplying by 10 on both sides of the

Answer:

option B: Robin is correct because both sides of the equation can first be multiplied by 10

Step-by-step explanation:

The given equation is;

(2/5)x - 3/2 = (5/2)x + 6

Now, looking at this, we have fraction terms. Thus, the first step will be to find a way to clear the denominators in order to make every term a whole number.

The denominators we have are: 2 and 5.

So to clear the denominator we'll multiply each term by 10 which is a product of 2 and 5.

Looking at the options, the correct answer is option B: Robin is correct because both sides of the equation can first be multiplied by 10

[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]

Answer:

108x - 69

Step-by-step explanation:

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

Answer:

129

Step-by-step explanation:

First we check for parentheses which there is none.

We would first do 12 x 12=144

Then we would do addition and subtraction left to right.

so just in order.

Second we would do 144 - 11=133

Third we would do 133 + 14=147

And last 147 - 18=129 And there's your answer.

Hope it helps have a great day:)

Answer:

2a+16

Step-by-step explanation:

Your first distribute 2(a+8) and get 2a+16.

Whenever a number is in front of a group of numbers in parenthesis, then it  is always multiplying. You have to multiply both numbers, and that's how I got 2a+16. Hopefully this helps!

Step-by-step explanation:

take the reference of the above picture

hope that helps

Answer:

8

Step-by-step explanation:

hope this helps you

Answer:

Yes, you got it correct, good job.

Answer:

11 + 22 + 19 = 52

Step-by-step explanation:

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

4 x 13 = 52

Answer:

-88.48

8.29

Step-by-step explanation:

Answer:

1 19/21

Step-by-step explanation:

brainliest pls :D

Answer:

0.64

Step-by-step explanation:

Let's think about a few simple examples. Once you understand them, you

will be able to put them together to make harder problems.

Ex: What is 2 divided by 1/5? Here are 2 blocks:

    +---------+---------+

    |         |         |

    |         |         |

    |         |         |

    |         |         |

    |         |         |

    |         |         |

    |         |         |

    |         |         |

    |         |         |

    +---------+---------+

Here is 1/5 of a block (the shaded part):

    +---------+

    |XXXXXXXXX|

    +.........+

    |         |

    +.........+

    |         |

    +.........+

    |         |

    +.........+

    |         |

    +---------+

To divide 2 by 1/5, we divide 2 blocks into pieces the size of the 1/5

block.

    +---------+---------+

    |         |         |

    +.........+.........+

    |         |         |

    +.........+.........+

    |         |         |

    +.........+.........+

    |         |         |

    +.........+.........+

    |         |         |

    +---------+---------+

There are 10 pieces this size in the 2 blocks. In other words,

    2 divided by 1/5 = 10

That's the same as

    2 x 5 = 10

Do you see why? To make 1/5 size blocks, we had to make each whole

block into 5 pieces. In other words, we multiplied the number of

pieces by 5.

Next problem:

   2 divided by 2/5 = ?

Here is 2/5 of a block (the shaded part):

    +---------+

    |XXXXXXXXX|

    +.........+

    |XXXXXXXXX|

    +.........+

    |         |

    +.........+

    |         |

    +.........+

    |         |

    +---------+

Let's divide the 2 blocks into pieces this size.

    +---------+---------+

    |         |         |

    +         +         +

    |         |         |

    +.........+.........+

    |         |         |

    +         +         +

    |         |         |

    +.........+.........+

    |                   |

    +---------+---------+

The bottom block is a different shape, but it's the same size, because

it's made of 2 1/5-size pieces. Since the pieces we want are twice as

big, there are only 1/2 as many of them. The answer is

    2 divided by 2/5 = 10/2 = 5

This is the same as

    2 x 5/2 = 5

Do you see how the two equations are related? You take the fraction,

2/5, and "turn it upside down" (in math words, we say "invert the

fraction," or "take its reciprocal"). Then replace the division sign

by a multiplication sign.

Now we can tackle harder problems. The same method always works, even

if the answer isn't a whole number as in the simple examples. For

instance,

    5 divided by 3/8 = ?

Ex: Invert the fraction 3/8; you get 8/3. Then multiply by this fraction:

    5 x 8/3 = 40/3 = 13 1/3

We can even replace the whole number in the problem with a fraction,

like this:

    5/7 divided by 3/8 = ?

    5/7 x 8/3 = ?

     5     8     40       19

    --- x --- = ---- = 1 ----

     7     3     21       21

If you are comfortable with multiplying fractions, then you will have

no trouble dividing fractions. Just remember: invert the fraction you

are dividing by (the divisor), and multiply instead of dividing. Hope this helps! :)