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2 years ago

Kevin Parker expects that you hand wash each coffee pot before Dutch Bros opens. You

Mathematics

1 answer:

bixtya [17]2 years ago

7 0

Step-by-step explanation:

18 minutes in total.

4 1/2 minutes per pot.

so, all we need to do is find out how often 4 1/2 fits into 18. that is what division is for.

18 / (4 1/2)

4 1/2 = 2×4/2 + 1/2 = 8/2 + 1/2 = 9/2

18 / 9/2 = 18/1 / 9/2 = 2×18 / 9×1 = 36/9 = 4

there are 4 coffee pots.

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what algorithm (rule) will produce the correct result for the sum "a+b" where a and b each represent any rational number.

Leokris [45]

Answer:

To find the sum of a + b where a and b are rational number.

1. when a and b are natural numbers

just add them . for example a =3, b=8

then ,a + b = 11

2. When a and b are whole numbers,

simply add them . for example a= 0, b=8

a+ b = 0 + 8= 8

3. When a and b are integers

for example, a =-1 b=8,

a+ b= -1+ 8 =7,

a=-2, b= -8

a+ b= -2-8=-10

a= -6 , b=2

a+ b= -6 + 2= -4

a= 8, b= -2

a+ b= 8 +(-2) =6

I have written this because Rational number = [Integers{Whole number(Natural number)}]

now when a= Any fraction= $\frac{p}{q}$ and b = Any fraction= $\frac{u}{v}$

now ,

$\frac{p}{q} + \frac{u}{v}$

Find L.C.M of q and v

= if q and v are Co-prime , just multiply them to find their L.C.M.

For example 14,9. LCM=14×9=126

Otherwise, Find factors of q and v . Then take out common factors first and then multiply the remaining with with common factors.For example

q=12 and v=18

12 =2×2×3

18=2×3×3

common factor =2,3

non common=2,3

L.C.M= 2×2×3×3=36

Suppose LCM of q and v = r

then , $\frac{p}{q} + \frac{u}{v}$

= $\frac{{\frac{r}{q}}\times p+{\frac{r}{v}\times u}}{r}\\$

= ${{\frac{r}{q}}\times p+{\frac{r}{v}\times u}} = k$

then ,

a + b= $\frac{k}{r}$

5 0

3 years ago

Mr. Smith's salary is $35,873.His wife salary is $32,870.what is their combined income?

Dmitriy789 [7]

There combined in come would be 68,745 if you put them together i dont know if thats one of the awnsers but i think that should be right

8 0

3 years ago

Read 2 more answers

A professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their class

KIM [24]

Answer:

We conclude that seniors skip more than 2% of their classes at 0.01 level of significance.

Step-by-step explanation:

We are given that a professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their classes.

He randomly samples a group of seniors and out of 2521 classes, the group skipped 77.

Let p = percentage of seniors who skip their classes.

So, Null Hypothesis, $H_0$ : p $\leq$ 2% {means that seniors skip less than or equal to 2% of their classes}

Alternate Hypothesis, $H_A$ : p > 2% {means that seniors skip more than 2% of their classes}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of seniors who skipped their classes = $\frac{77}{2521}$

n = sample of classes = 2521

So, test statistics = $\frac{\frac{77}{2521} -0.02}{{\sqrt{\frac{\frac{77}{2521}(1-\frac{77}{2521})}{2521} } } } }$

= 3.08

The value of the test statistics is 3.08.

Now at 0.01 significance level, the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is more than the critical value of z as 2.3263 < 3.08, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that seniors skip more than 2% of their classes.

6 0

3 years ago

A rectangular prism that has a length of 8 feet, width of 6 feet, and height of 12 feet.

Alex

Answer:

576 cubic ft

Step-by-step explanation:

Volume of prism is = area of base of prism * height

given prism is rectangular with length of 8 feet and width of 6 ft

area of rectangle is = length * width

for the given prism area of base = 8 * 6 = 48 square ft

height of prism = 12ft

therefore volume of prism = area of base of prism * height

= 48 square ft *12 ft = 576 cubic ft

6 0

3 years ago

Read 2 more answers

You want to place a towel bar that is 10 1⁄4 inches long in the center of a door that is 26 1⁄3 inches wide. How far should you

attashe74 [19]

The bar should be 8 1/24 from the each edge of the door.

We need to subtract 10 1/4 from 26 1/3 to get the fraction of the space not covered by the towel bar.
We also need to divide the difference by 2 because we placed the towel bar in the center of the door.

1st we need to convert the mixed fractions into fractions to perform subtraction.
26 1/3 = ((26*3)+1)/3 = 79/3
10 1/4 = ((10*4)+1)/4 = 41/4

Steps in Subtracting Fractions
Step 1. Make sure the denominator is the same. 3 and 4 are the denominators, they are not the same but they are factor of 12. So,
79/3 must be multiplied by 4 = 79 * 4 / 3 * 4 = 316 / 12
41/4 must be multiplied by 3 = 41 * 3 / 4 * 3 = 123 / 12

Step 2. Subtract the numerators and place them above the common denominator
316/12 - 123/12 = 316 - 123 / 12 = 193 / 12

Before we can simplify the fraction, we must divide it by two to get the measurement of each edge of the door.

Steps in dividing fractions.
Step 1. Get the reciprocal of the 2nd fraction.
1st fraction : 193 / 12
2nd fraction : 2 /1 ⇒ reciprocal 1/2

Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction
193 / 12 * 1/2 = 193 * 1 / 12 * 2 = 193 / 24

Step 3. Simplify the fraction.
193 / 24 = 8 1/24

8 0

3 years ago