An entry code into a building is a 5-digit number.
The number of different codes can be counted using
a. permutations
b. combinations

Answer:

A sample of 153 is needed.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

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

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation is 15 for the population of all adults.

This means that [tex]\sigma = 15[/tex]

We wish to find the sample size necessary to estimate the mean IQ score of statistics students. Suppose we want to be 90% confident that our sample mean is within 2 IQ points of the true mean.

This means that a sample of n is needed.

n is found when M = 2. So

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

[tex]2 = 1.645\frac{15}{\sqrt{n}}[/tex]

[tex]2\sqrt{n} = 1.645*15[/tex]

Simplifying both sides by 2

[tex]\sqrt{n} = 1.645*7.5[/tex]

[tex](\sqrt{n})^2 = (1.645*7.5)^2[/tex]

[tex]n = 152.2[/tex]

Rounding up:

A sample of 153 is needed.

Answer:

$1400

Step-by-step explanation:

Answer:

$1,400.00

Step-by-step explanation:

You have to multiply $8.75 by the 20 hours to get $175, then you multiply that by 8 weeks to get $1,400

Answer:

$270

Step-by-step explanation:

Answer:

$120.00

Step-by-step explanation:

She earned $120 because 30% of 400 is 120.

Sorry if I'm wrong.

Please mark me as Brainliest.

Answer:

10.07

Step-by-step explanation:

26.5 x 0.38 = 10.07

Can I get brainliest

Answer:

B. 658 Hours

Step-by-step explanation:

All you do is divide.

$19 for every hour, it's 2 persons so,

$38 for every hour.

so,

25,000/38

= 657.894736842 which is about 658 so,

= 658 Hours

It would take 658 hours for the robot to pay for itself in labor savings

An equation is an expression that shows the relationship between two or more numbers and variables.

The robot can replace two people doing assembly work that are paid $19 per hour.

Let us assume it would take x hours for the robot to pay for itself in labor savings

(19 + 19)x = 25000

38x = 25000

x = 657.9

It would take 658 hours for the robot to pay for itself in labor savings

Find out more on equation at: https://brainly.com/question/2972832

Answer:

part a: 45

part b: 102 and 68

Step-by-step explanation:

Answer:

$1439.16

Step-by-step explanation:

1.) 15% of 1575

1575 x 0.15 = 236.25

1575 - 236.25 = 1338.75

So 15% of $1575 = $1338.75

2.) $1338.75 with sales tax if 7.5%

1338.75 x 0.075 = 100.40625 rounded to the nearest hundredths place is 100.41

1338.75 + 100.41 = 1439.16

so you answer is $1439.16

Answer:

∠EFC and ∠DCF

∠BCF and ∠GFC

Step-by-step explanation:

Answer:

a) True

     [tex]\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha =0[/tex]

Step-by-step explanation:

Step(i):-

Given that the definite integration

           [tex]\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha[/tex]

we know that the trigonometric formula

sin²∝+cos²∝ = 1

           cos²∝ = 1-sin²∝

step(ii):-

Now the  integration

        [tex]\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha = \int\limits^\pi _0 {(\sqrt{cos^{2} \alpha } } \, )d\alpha[/tex]

                                     = [tex]\int\limits^\pi _0 {cos\alpha } \, dx[/tex]

Now, Integrating

                                 [tex]= ( sin\alpha )_{0} ^{\pi }[/tex]

                               = sin π - sin 0

                              = 0-0

                             = 0

Final answer:-

     [tex]\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha =0[/tex]

9514 1404 393

Answer:

  B.  line AB

Step-by-step explanation:

The terminal point must be named first when naming a ray.

The vertex must be named in the middle when naming an angle.

The order of points does not matter when naming a line.

Answer:

N = 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

This seems more like a physics questions, but i'll help you  :P

the circle is 8 feet across or a radius of 4 feet

circumference of the circle is 2[tex]\pi[/tex]r  = 25.132741 feet

it's going around 420 times a minute

420 * 25.132741 = 10555.75132 feet per minute

10,555.75

Answer:

y - 8 = 3(x - 6)

Step-by-step explanation:

Point slope-equation formula:

y - y1 = m(x - x1)

y - 8 = 3(x - 6)

Answer:

24

Step-by-step explanation:

Split the polygon into three triangles and a square, then find the areas of each and they add up to 24.

Answer:

let me know if it's the right answer or not:) also I learned this awhile

Answer:

$9

Step-by-step explanation

got it wrong so many times so delta math gave me the answer

Answer:

<z = 37

Step-by-step explanation:

<x = 90

<y = 53

<z = ?

<x + <y + <z = 180

90 + 53 + <z = 180

143 + <z = 180

<z = 180 - 143

<z = 37

Answer:

37

Step-by-step explanation:

180-90-53= 37

Answer:

i dont know because you have not really explained it

Step-by-step explanation:

The quotient of the division of 145413 by 321 is 453.

Division is one of the operation in mathematics where number is divideD into equal parts as that of a definite number.

We are using long division method here.

For that dividend is 145413 and divisor is 321.

First take the first some digits of dividend which is greater than 321.

That is the first four digits, 1454.

The multiple of 321 closest to 1454 is 1284 which is equal to 4 × 321

So the first digit of quotient is 4.

1454 - 1284 = 170

Now 170 is less than 321.

Add the next digit of the dividend to 170.

It becomes 1701.

Multiple of 321 closest to 1701 is 1605 which is equal to 5 × 321.

The next digit of the quotient is 5.

1701 - 1605 = 96

Again since 96 less than 321, take the next digit of the dividend and the number becomes 963.

Now 963 is a multiple of 321, where 963 = 3 × 321

So the next digit of the  quotient is 3.

Quotient = 453

Hence the quotient of the given division is 453.

Learn more about Division here :

https://brainly.com/question/21416852

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Answer:

[tex]\frac{5}{16}[/tex]

Step-by-step explanation:

1) Find the total number of marbles

5 blue + 6 red + 3 black + 2 yellow

= 16 marbles

2) To find the probability of selecting a blue marble, divide the number of blue marbles by the number of total marbles:

5 blue marbles ÷16 marbles

[tex]= \frac{5}{16}[/tex]

Therefore, the probability of selecting a blue marble is [tex]\frac{5}{16}[/tex].

I hope this helps!

Answer:

Step-by-step explanation:

Area of ΔCAD, right triangle:

Area of the sector CAD:

Area of segment CED:

Area of ΔCBD, equilateral triangle:

Area of sector CBD:

Area of segment CFD:

Compare the areas of the segments:

Answer:

for 1 st

area of segment CAD=90/360×π×10²=78.54m²

for second

area of segmentBCD=60/360×π×12²=75.4m²

so

CAD has greater area

Answer: n = 4

Step-by-step explanation:

     We will first write a mathematical equation to represent the situation. Then, we will solve it.

The sum of n → Sum means addition, so "n +"

product of 5 times n → Product and times means multiplication, so "5n"

is 24 → Is represents equals, so "= 24"

     The sum of N and the product 5 times n is 24 → n + 5n = 24

Now that we have our equation, we can solve. We will do this by adding n and 5n, then dividing both sides of the equation by 6.

     n + 5n = 24

     6n = 24

     n = 4

D 8m = 48

divide by 8 both sides so we can isolate m

answer

m= 6

Answer:

10.5

Step-by-step explanation:

63,5,0,0,45,2,23,16

order from smallest to greatest

0, 0, 2, 5, 16, 23, 45, 63

median = center number

(5 + 16) / 2 =10.5

Answer:

D+7=K

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer: your mom gay ;)

Step-by-step explanation:

4,500 calories a day

If you ate the same amount each day, that means you would eat 3 a day, since 6 divided by 2 is 3.

Find how many calories you would eat each day by multiplying 3 by 1,500

3(1,500)

= 4500

Answer:

B

Step-by-step explanation:

i got a 95% so i thinks its right

Answer:

G

Step-by-step explanation:

Select G, it does not show ratio of students to teachers is 13:3.

3s=13t means 3 students to 13 teachers

Answer:

85%

Step-by-step explanation:

P(not green) = 17/20 which equals 85%

Answer:

eso no es una pregunta

Step-by-step explanation: