Heather is a cashier and she can ring up 36 customers in 24 minutes. At this rate how many minutes does it take to ring up 6 costumers ?

9514 1404 393

Answer:

  sin B = 24/25

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

  Sin = Opposite/Hypotenuse

The side opposite angle B is the side AC. Its length is shown as 24. You have correctly said the hypotenuse (AB) is 25, so you have ...

  sin(B) = AC/AB

  sin(B) = 24/25

Answer:

A)336

B) In how many ways can you arrange 8 people in 3 different chairs?

C) 21

D) You want to buy 3 cartoon books from a book store that has 7 cartoon books. In how many ways can you select?

Step-by-step explanation:

A) P(n, r) = P(8, 3)

Formula for permutation is;

P(n, r) = n!/(n - r)!

P(8, 3) = 8!/(8 - 3)!

P(8, 3) = (8 × 7 × 6 × 5!)/5!

5! will cancel out to give;

P(8, 3) = (8 × 7 × 6)

P(8, 3) = 336

B) In how many ways can you arrange 8 people in 3 different chairs?

C) C(n, r) = C(7, 2)

Formula for combination is;

C(7, 2) = n!/(n - r)!r!

Thus;

C(7, 2) = 7!/(7 - 2)!2!

C(7, 2) = (7 × 6 × 5!)/(5! × 2 × 1)

5! will cancel out to give;

C(7, 2) = 7 × 6/2

C(7, 2) = 21

D) You want to buy 3 cartoon books from a book store that has 7 cartoon books. In how many ways can you select?

Answer: Iron, a solid at room temperature, becomes a liquid at 2800 degrees Fahrenheit (really, REALLY hot) and a gas at 5182 degrees Fahrenheit (about half the temperature of the sun). When things are hot, the molecules and atoms move around more and faster, and when they are cold they are slower.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

2x..................

Answer:

It is the mean

Step-by-step explanation:

Which measure of central tendency best describes the data set below?

{1, 2, 3, 4, 5, 6, 12, 23}

=mean

56 Divided by 8=7 mean=7

It’s a. the mean, 7 Or d. the median, 4.5

Answer:

Yo wassup. To your question it will be 360 degrees.

Step-by-step explanation:

Now bro can you mark as brainlest?

Answer: See step by step

Step-by-step explanation: For A my 15 statements are.

 12.[tex]AD^{2}[/tex]+ [tex]CD^{2}[/tex]= [tex]AC^{2}[/tex]

   13. Triangle ABC has a max of 180 degrees.

     14. We can rotate this triangle 180 degrees and it will coincide.

       15. We can reflect triangle ACD over vertical line ACD and it will be congruent to ABD.

 2.  We use pythagorean theorem since it has a right angle.

      [tex]AD^{2}[/tex]+ [tex]DB^{2}[/tex]=[tex]AB^{2}[/tex] Let plug it in.

      [tex]40^{2}[/tex]+[tex]b^{2}[/tex]=[tex]45^{2}[/tex]

        1600+ b^2=2025

      b^2=424

      sqr root of 425 is about 21. Now let find the perimeter.

      AB is 45, Since BD+DC=CB, and they are congruent they are equal so 21+21=42 and AC is congruent to AB so it is 45. So the perimeter is  132.

  For 3. Start at the orgin, then go up 5 on the y-axis so you should be at (0,5)

   Then use the rise over run method to graph it. go left -3 and and up 1. Keep doing that 2 more times then draw a straight line.  

Your 3 point should be

(0,5)

(1,2)

(2,1)

Answer:

X=7

Step-by-step explanation:

Since we have the function F(x)=6x+7, and we are given f(x)=49, we know that 6x+7=49.

Thus, solve for x

6x+7=49

6x=42

x=42/6

x=7

Hope this helps :)

Answer:

If f(x) = 9–4 |+1|, find f(-5)?

Step-by-step explanation:

15

-7

7

23

ANSWER 23

The value of function f (- 5) will be;

⇒ f (-5) = - 7

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The function is,

⇒ f (x) = 9 - 4 |x + 1|

Now,

The function is,

⇒ f (x) = 9 - 4 |x + 1|

Substitute x = - 5, we get;

⇒ f (-5) = 9 - 4 |- 5 + 1|

⇒ f (-5) = 9 - 4 |- 4|

⇒ f (-5) = 9 - 4 × 4

⇒ f (-5) = 9 - 16

⇒ f (-5) = - 7

Thus, The value of function f (- 5) will be;

⇒ f (-5) = - 7

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a. The probability questions are given below.

b. The inferential statistics question is:

"What is the estimated proportion of computers in the population that need warranty service based on the observed proportion in the sample?"

We have,

a.

Probability questions based on selecting a sample of 100 computers:

- What is the probability that exactly 5 computers in the sample need warranty service?

- What is the probability that more than 10 computers in the sample need warranty service?

- What is the probability that at least 2 computers in the sample need warranty service?

- What is the probability that none of the computers in the sample need warranty service?

- What is the probability that the proportion of computers needing warranty service in the sample is greater than 0.3?

These questions can provide insights into the likelihood of certain outcomes within the sample of 100 computers.

b.

Inferential statistics question that can be answered by determining the number of computers needing warranty service in a sample of size 100:

"What is the estimated proportion of computers in the population that need warranty service based on the observed proportion in the sample?"

By determining the number of computers in the sample of 100 that need warranty service, we can use inferential statistics to make an estimate or inference about the proportion of the entire population of computers of that brand and model that may require warranty service.

This can help in understanding the warranty service needs of the entire population based on the information gathered from the sample.

Thus,

a. The probability questions are given above.

b. The inferential statistics question is:

"What is the estimated proportion of computers in the population that need warranty service based on the observed proportion in the sample?"

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Answer:

15

Step-by-step explanation:

you divide 30 by 2

Half of 30 is 15.

To calculate half of 30, we divide 30 by 2 since "half" means dividing something into two equal parts.

Dividing 30 by 2, we get:

30 ÷ 2 = 15.

Hence, half of 30 is equal to 15.

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Answer:

5 cm

Step-by-step explanation:

Let's assume this is a number line were given.

Distance of S from 0 = 4 units

Distance of T from 0 = 9 units

Length of ST = the difference between T and S

ST = |9 - 4| = 5 units = 5 cm

This means S and T are 5 cm apart.

Answer:

158.1

Step-by-step explanation:

Answer:

b and e

Step-by-step explanation:

Number of days = x

Amount of soda = y

An equation that can represent the relationship between amount of soda and number of days can be represented in the form of y = mx

Where slope (m) = y/x

Using any point on the line, say (1, 40),

m = 40/1

m = 40

Plug the value of m into y = mx

Thus, we have:

y = 40x

This can also be rewritten as:

y/x = 40

Therefore, the equations that can be used to represent the relationship are:

y = 40x or y/x = 40

Answer:

44g

Step-by-step explanation:

flour=7/6*150=7*25=175g

sugar=175/2=87.5g for 36 biscuits

so for 18 biscuits she needs half as much whuch is equal to 87.5/2=43.75g or 44g

Answer:

7.3 years

Step-by-step explanation:

Answer:

a(y-1)/1+y

Step-by-step explanation:

Given the expression y = a + p/a-p

yo are to make P the subject of the formula:

Step 1:  Cross multiply

y = a + p/a-p

y(a-p) = a+p

Step 2: open the bracket

ya - yp = a+ p

Step 3: Collect the like terms

ya - a  = p+ yp

ya - a= p(1+y)

a(y-1) = p(1+y)

Step 4: Divide both sides by 1+y

a(y-1)/1+y = p(1+y)/1+y

a(y-1)/1+y = p

p =a(y-1)/1+y

Hence the required solution is p = a(y-1)/1+y

Answer:

4 bags of bread can be produced

Step-by-step explanation:

Hope this is right I'm still new to all this if not please critique me.

Answer:

I think it would be the second one or last one

Answer:

Pang, Ruben, Adela, and Tony is the correct answer

Step-by-step explanation:

You're welcome~

Answer:

X=12

Step-by-step explanation:

Answer:

i think 128/7=x

Step-by-step explanation:

Answer:

B. No, because it is not a straight line.

Have a nice day!!!

Answer:

what do you mean?

Step-by-step explanation:

Answer:

Therefore, the volume of sphere is 1436.03 cubic units.

Step-by-step explanation:

V≈1436.76 units cube (sphere)

V=πr^2h (cylinder)

r=7

h=14

V≈2155.13 units cube (cylinder)

Answer:

[tex] x = zk + z + \mu[/tex]

Step-by-step explanation:

[tex] z = \frac{x - \mu}{k + 1} \\ \\ z(k + 1) = x - \mu \\ \\ z(k + 1) + \mu =x \\ \\ \red{ \bold{ x = zk + z + \mu}}[/tex]

Answer:

6x

Step-by-step explanation:

first you have to find the GCF of 6 and 12 then th GCF of

[tex] {x}^{2} and \: x[/tex]

finally

6x

if its helpful ❤❤

THANK YOU

Answer:

.7147

Step-by-step explanation:

Let P be the probability of 55 families having mean more than 17

P { (17-17.2)/ (2.5/√55) }

P(- 0.5933 )

= - .2765  [ From the z table ]

P be the probability of 55 families having mean less than 18

P { (18 -17.2)/ (2.5/√55) }

P( 2.3732 )

= .9912   [ From the z table ]

Probability of mean between 17 and 18

= .9912 - .2765

= .7147

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The height of the lighthouse is 103×tan 31°.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

Given that the distance between the Anoki and the lighthouse is 103 feet, while the angle between Anoki and the top of the lighthouse is 31°. Therefore, using the tangent function of the trigonometry we can write the height of the lighthouse as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

[tex]\rm tan(31^o) = \dfrac{\text{Height of the lighthouse}}{103\ feet}\\\\\text{Height of the lighthouse} = 103 \times tan(31^o)\\\\[/tex]

Hence, the height of the lighthouse is 103×tan 31°.

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Step-by-step explanation:

the answer is -12r+13s

if u need the explanation I gotchuu just lemme know or need work shown

hope it helps<33