A cashier worked an 8-hour day, and earned $58.00. The double number line shows the amount she earned for working different numbers of hours. For each question, explain your reasoning.



How much does the cashier earn per hour?

How much does the cashier earn if she works 3 hours? pls help me!!

Answer:

10%

Step-by-step explanation:

(a) What percentage of meals had less than 10 grams of fat?

(b) Round your answer to the nearest tenth of a percent.

To find the percentage of meals with less than 10 grams of fat, count the number of meals with less than 10 grams of fat and divide by the total number of meals; multiply this figure by a hundred.

(A) Total number of meals = 550

Number of meals having less than 10 grams of fat = 77

Percentage of meals having less than 10 grams of fat = 77/550 × 100

= 0.14 × 100 = 14%

(B) Rounding the answer to the nearest tenth of a percent means approximating it to the nearest multiple of 10 that is not more than 100 (where 100 here represents a full cent or 'percent').

The multiples of 10 that are close to 14 are 10 and 20. The closest being 10, your answer becomes 10%

Answer:

a

  [tex] P(X = 0) =  0.6065 [/tex]

b

[tex]P(x <  25 ) =   1.18 *10^{-33} [/tex]

c

 [tex]  P(x \le 5 ) =  0.9994 [/tex]    

Step-by-step explanation:

From the question we are told that

  The rate  is [tex]\lambda =  \frac{1}{2}\   hr^{-1}[/tex]    =  0.5 / hr

  Generally  Poisson distribution formula is mathematically represented as

       [tex]P(X = x) =  \frac{(\lambda t) ^x e^{-\lambda t }}{x!}[/tex]

Generally the probability that no error occurred during a day is mathematically represented as  

Here  t =  1  hour according to question a

So

   [tex]P(X = x) =  \frac{\lambda^x e^{-\lambda}}{x!}[/tex]

Hence

   [tex][tex]P(X = 0) =  \frac{\frac{1}{2} ^0 e^{-\frac{1}{2}}}{0!}[/tex]

=>  [tex] P(X = 0) =  0.6065 [/tex]

Generally the probability that  a critical error occurs since the start of a day is mathematically represented as

Here  t =  1  hour according to question a

So

   [tex]P(X = x) =  \frac{\lambda^x e^{-\lambda}}{x!}[/tex]

Hence

      [tex]P(x \ge 25 ) =  1 - P(x <  25 )[/tex]

Here

     [tex]P(x <  25 ) = \sum_{x=0}^{24} \frac{e^{-\lambda} * \lambda^{x}}{x!}[/tex]

=>   [tex]P(x <  25 ) =  \frac{e^{-0.5} *0.5^{0}}{0!} + \cdots + \frac{e^{-0.5} *0.5^{24}}{24!}[/tex]

[tex]P(x <  25 ) =  0.6065 + \cdots + \frac{e^{-0.5} *0.5^{24}}{6.204484 * 10^{23}}[/tex]

[tex]P(x <  25 ) =  0.6065 + \cdots + 6.0*10^{-32}[/tex]

[tex]P(x <  25 ) =   1.18 *10^{-33} [/tex]

Considering question c

Here  t =  2  

Gnerally given that the  system just started up and an error occurred  the probability the next reset will occur within 2 hours

[tex]P(x \le 5 ) =  \sum_{n=0}^{5}  \frac{(\lambda t) ^x e^{-\lambda t }}{x!}[/tex]

=> [tex]P(x \le 5 ) =   \frac{(0.5 *  2) ^ 0 e^{- 0.5  * 2 }}{0!} + \cdots  +   \frac{(0.5 *  2) ^ 5  e^{- 0.5  * 2 }}{5!}[/tex]

=> [tex]P(x \le 5 ) =   \frac{1* 2.7183 }{1 } + \cdots  +   \frac{1  *2.7183 }{120}[/tex]

=>  [tex]P(x \le 5 ) =   2.7183 + \cdots  +   0.0226525[/tex]

 [tex]  P(x \le 5 ) =  0.9994 [/tex]    

Answer:

i am pretty sure it would be 8

Step-by-step explanation:

when it rounds to 2 but also rounds to 100, 8 would be the best bet.

Answer:

(6,11)

I can confirm that this question is right.

12/2      22/2

(6   ,        11)

Answer:

26.31

Step-by-step explanation:

You just have to count up the shapes in each place.

Answer:

54 + 42 = 6(9 + 7)

Step-by-step explanation:

Using distributive property on the right side of the equality, you multiply 6 and nine and 6 and 7 to get rid of the parenthesis.

Answer:

its the last one

Step-by-step explanation:

Answer:

Cash it at the issuing bank (this is the bank name that is pre-printed on the check)

Cash a check at a retailer that cashes checks (discount department store, grocery stores, etc.)

Cash the check at a check-cashing store.

Deposit at an ATM onto a pre-paid card account or checkless debit card account.

Step-by-step explanation:

Answer:

Amscot?

Step-by-step explanation:

Answer:hbjnhbgfvrdfghjhgfdfghjhgfghjkl

Answer:

z=2

Step-by-step explanation:

Just solve

1 + z = 3 (minus 1 on both sides)

z = 2

Plug in

3=(2+1)

3 = 3

Answer:

a)Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}[/tex]

Marginal cost function =[tex]C'x=0.1[/tex]

b) [tex]\bar{C(2000)}=0.6[/tex]

[tex]C'(2000)=0.1[/tex]

c)[tex]\bar{C(2000)}=0.6[/tex] is the average cost to produce first 2000 items

C'(2000)=0.1 is the marginal cost to produce 2001 th item

Step-by-step explanation:

Cost function: [tex]C(x) = 1000 + 0.1x[/tex]

a)Find the average cost and marginal cost functions.

Average cost function =[tex]\bar{C(x)}=\frac{C(x)}{x}[/tex]

Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}[/tex]

Marginal cost function =[tex]C'x=0.1[/tex]

b) Determine the average and marginal cost when x = a.

a = 2000

Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}=\frac{1000+0.1a}{a}=\frac{1000+0.1(2000)}{2000}=0.6[/tex]

So, [tex]\bar{C(2000)}=0.6[/tex]

Marginal cost function =[tex]C'(2000)=0.1[/tex]

c)Interpret the values obtained in part​ (b).

[tex]\bar{C(2000)}=0.6[/tex] is the average cost to produce first 2000 items

C'(2000)=0.1 is the marginal cost to produce 2001 th item

Answer:

You can make it to Splash Mountain

Step-by-step explanation:

From the question,

The distance you need to cover to Splash Mountain is 1 3/5 miles, and the time you have to arrive there is in 7 3/4 minutes.

Also, from the question,

You are able to cover 2/7 of a mile every minute, that is

Your speed is 2/7 mile per minute

To determine if you can make it to Splash Mountain, we will determine the distance you can cover, traveling at this speed of 2/7 mile per minute for 7 3/4 minutes. If the distance you can cover is more than 1 3/5 miles, then you can make it; but if the distance you can cover is less than 1 3/5 miles, then you cannot make it.

From

Speed = Distance / Time

Distance = Speed × Time

Speed = 2/7 mile/minute

Time = 7 3/4 minutes = 31/4 minutes

∴Distance = 2/7 × 31/4

Distance = 31/14 miles = 2 3/14 miles

The distance you can cover traveling 2/7 of a mile every minute for 7 3/4 minutes is 2 3/14 miles, since this is more than 1 3/5 miles, then you can make it to Splash Mountain.

Hence, you can make it to Splash Mountain.

Answer:

2 2/3 or 8/3

Step-by-step explanation:

Formula for each side = 2/3 x 2/3

2/3 x 2/3 = 4/9

6 sides

4/9 x 6 or 4/9 + 4/9 + 4/9 + 4/9 + 4/9 + 4/9

=2 2/3 or 8/3

Answer:

2 2/3

Is the answer

Answer:

The population will reach 980,000 in 26 years approximately.

Step-by-step explanation:

Initial Population of city = 490000

Rate of increase in population = 2.75%

We are supposed to find Approximately when  will the population reach 980,000

Formula : [tex]N(t)=N_0(1+r)^t[/tex]

N(t)= population after t years

[tex]N_0=[/tex] Initial population

t - time

r = rate of interest in decimals

So,[tex]980000=490000(1+\frac{2.75}{100})^t[/tex]

t=25.55

So, the population will reach 980,000 in 26 years approximately.

Answer:

There is something wrong with the question because you cannot earn more interest during a year than the principal if you earn only 9% or 11%. You would have to earn more than 100%, so I will do this calculation based on $17,170 (not $171,700) earned in interest per year.

let S = amount received from short term note, and L = amount received from long term note

0.11S + 0.09L = 17170

S + L = 170000

S = 170000 - L

0.11 (170000 - L) + 0.09L = 17170

18700 - 0.11L + 0.09L = 17170

1530 - 0.02L = 0

1530 = 0.02L

L = 1530 / 0.02 = $76,500

S = 170000 - 76500 = $93,500

Answer:

97.65

Step-by-step explanation:

97.65

Step-by-step explanation

Answer: it would be half the size

Step-by-step explanation:

Answer:

x = 9°

y = 119°

Step-by-step explanation:

Given,

y° = 61°+58° { the exterior angle formed by producing the side of triangle is equal to two non-adjacent angle}

or, y° = 119°

therefore, y° = 119°

Now,

52°+y°+x° = 180°{the sum of angle if triangle is 180°}

or, 52°+119°+x°= 180°

or, 171°+x° = 180°

or, x° = 180°-171°

or, x° = 9°

therefore, x° = 9°

Answer:

52

Step-by-step explanation:

given that the number is a

The expression for Ten less than 5 times the value of a number is given by

5a - 10

10 times the quantity of  12 more than one-fourth of the number.

a/4 is one-fourth  of number

12 more than one-fourth of the number

a/4 + 12

expression for  10 times the quantity of  12 more than one-fourth of the number. is given by

10(a/4 + 12) = 10a/4 + 12*10 = 2.5a + 120

Given that the above two expression are equal

equating them we have

5a - 10 = 2.5a + 120

adding 10 both sides

=>5a - 10+ 10  = 2.5a + 120 + 10

=> 5a = 2.5a + 130

subtracting 2.5a from both sides

=> 5a - 2.5a = 2.5a + 130 - 2.5a

=> 2.5a = 130

dividing both side by 2.5

=> a = 130/2.5 = 52

Thus, value of a is 52

Answer:

hi to what. good bye???????

Answer:

C: 48

Step-by-step explanation:

1/6 chance so multiply by 6, 8 marbles so multiply by 8, 8(6)=48

Answer:

48 marbles, it's C

Step-by-step explanation:

why?

Because 1/6 of the marbles are white. and there are 8 white marbles. so that means, 1/6=8 marbles.

So you just get 1/6 to 6/6

so you do, 8*6 which equals to 48

Answer:

14

Step-by-step explanation:

umm I don't know if im dumb but isn't it just 3 times 12 giving you 36 and than 50 minus 36 with an answer of 14

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability of at most 2 red cards is 0.5.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

Using the given information the number of cards is 24 out of which 12 are red. Therefore, the probability of getting a red card is 0.5.

A) All red cards.

P(X=5) = ⁵C₅ (0.5⁵) (0.5⁰)

            = 0.03125

B.) at least two red cards.

P(X≥2) = 1 - ⁵C₀ (0.5⁰) (0.5⁵) - ⁵C₁ (0.5¹) (0.5⁴)

= 0.8125

C.)  At most 2 red cards.

P(X≤2) = ⁵C₀ (0.5⁰) (0.5⁵) + ⁵C₁ (0.5¹) (0.5⁴) + ⁵C₂ (0.5²) (0.5³)

           = 0.5

Learn more about Binomial Distribution:

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Answer:

look im putting this here bc i have to answer 50 questionsfor a quest sdo dont report me ;-;

Step-by-step explanation:

Answer:

that what

Step-by-step explanation:

Answer:

W>16

Step-by-step explanation:

The formula for calculating the perimeter of a rectangle:

P = 2L+2W

L is the length of the rectangle

W is the width of the rectangle:

Given

P = 96m

If the length of a rectangle is 2 times the width, then L = 2W

Substitute into the formula:

Since the perimeter is less than 96m

96 < 2(2W)+2W

96 < 4W+2W

96 < 6W

Divide both sides by 6:

96/6 < 6W/6

16 < W

W>16

Hence the possible values of the width are all values greater than 16.

Answer:

-5/6,-1/4,-0.11,0.567

Step-by-step explanation:

Answer:

Option C: an outline of a pine tree

Step-by-step explanation:

Artists usually use two main types of shapes when drawing. One is geometric shape and the other is bimorphic shape.

A geometric shape simply refers to common regular and precise shapes like triangles, rectangles, squares which are commonly found in man made objects. Whereas, a bimorphic shape is one that is basically rounded or irregular and depicts natural things or living organisms.

Now, from the question, the only thing there that refers to a natural occurring object is "an outline of a pine tree".

Thus, it is a bimorphic shape.

Answer:

C. an outline of a pine tree

Step-by-step explanation:

I just took the test!

Answer: 16.4cm

Step-by-step explanation: 4cm=20km

82/20 is 4.1. 20 multiplied by 4.1 and you get 16.4cm

Answer:

64 hours

Step-by-step explanation:

Since there are only half of the pumps that are working the time will double. 32x2 is 64

Answer: 16 hours

Step-by-step explanation

Step 1: Split 8 in half because we are using half the amount of pumps which is 4. Now we know the amount of pumps being used.

Step 2: Next we find the unit rate by dividing 32 and 8 to get 4

Step 3: Lastly we multiply 4x4 because 4 is the amount of pumps being used and the other 4 is the unit rate. Once we multiply we get 16 which is the answer: 16 hours

Answer:

4 students got three answers incorrectly.

The number of students got 3 answers incorrect is 4.

A histogram is a display of statistical information that uses rectangles to show the frequency of data items in successive numerical intervals of equal size.

Now from the given histogram following informations are extracted-

Number of students got 1 answer incorrect = 2

Number of students got 2 answer incorrect = 3

Number of students got 3 answer incorrect = 4

Number of students got 4 answer incorrect = 1  

Number of students got 5 answer incorrect = 2

Thus from above we can conclude that,

Number of students got 3 answer incorrect = 4

Thus, the number of students got 3 answers incorrect is 4.

To learn more about histogram :

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