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3 years ago

A 2-pound bag costs 1.88 what is the unit rate?

Mathematics

1 answer:

fgiga [73]3 years ago

3 0

Answer:

$0.94 per pound

Step-by-step explanation:

To find the unit rate, make an equation and simplify it.

2 pounds = $1.88

1 pound = ($1.88 ÷ 2) $0.94

Hence, It costs $0.94 per pound

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Exhibit B In order to determine whether or not there is a significant difference between the hourly wages of two companies, two

ser-zykov [4K]

Answer: c. 3.01

Step-by-step explanation:

The test statistic for difference between two population mean (when population standard deviation is known) is given by :

$z=\dfrac{\overline{x}_1-\overline{x}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}}$

, where $n_1$ = Size of first sample

$n_2$ = Size of second sample

$\overline{x}_1-\overline{x}_2$ = Difference between two sample mean.

$\sigma_1$ = standard deviation for population 1.

$\sigma_2$ = standard deviation for population 2.

As per given , we have

$n_1=80$

$n_2=60$

$\overline{x}_1=\$6.75$

$\overline{x}_2=\$6.25$

$\sigma_1=\$1$

$\sigma_2=\$0.95$

Substitute these values in formula , we get

$z=\dfrac{6.75-6.25}{\sqrt{\dfrac{(1)^2}{80}+\dfrac{(0.95)^2}{60}}}$

$z=\dfrac{0.50}{\sqrt{0.0275416666667}}$

$z=\dfrac{0.50}{0.165956821694}$

$z=3.0128318613\approx3.01$

Hence, the value of the test statistic is 3.01.

Hence, the correct option is c. 3.01 .

7 0

3 years ago

AB Complementary SinA = 4/5 find Cos b

Dmitry [639]

Answer:

$cos\:b = \frac{4}{5}$

Step-by-step explanation:

It is given that: a and b are complementary.

$\therefore a + b = 90\degree\\\\\therefore a = 90\degree - b\\\\Assuming\: sin \: ratio \: on\: both\: sides\\\\sin\:a = sin(90\degree - b)\\\\\therefore \frac{4}{5} = sin(90\degree - b)...(\because sin\:a = \frac{4}{5})\\\therefore \frac{4}{5} =cos\:b...\{\because sin(90\degree - \theta) = cos\: \theta\} \\\\\huge\purple{\boxed{\therefore cos\:b = \frac{4}{5}}}\\$

6 0

3 years ago

A number was written on the board. One student increased the number by 23, but another student decreased the number by 1. The fi

kodGreya [7K]

Answer:

Step-by-step explanation:

let the number written on the board be x.

1st student's number= x +23

2nd student's number= x -1

1st student's number= 7(that of the 2nd student),

x +23= 7(x -1)

x +23= 7x -7 (expand)

7x -x= 23 +7 (bring constant to 1 side)

6x= 30 (simplify)

x= 30 ÷6 (÷6 on both sides)

x= 5

Thus, the number written on the board is 5.

4 0

3 years ago

Please help me I need to turn in tomorrow

Butoxors [25]

Answer:

D. 0.5

Step-by-step explanation:

There are 4 groups

1. Alto

2. Bass

3. Tenor

4. Soprano

The question says "what is the probability that this member comes from the alto section"

Since there are 4 groups, I did 4/8 (since there are 8 people in Alto) and I got 0.5.

Hope I got it right and it helped you

*Note* I most likely got it right I just doubt myself too much lol

But just in case, I hope I got it right.

3 0

3 years ago

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2540mm converted into cm

Oduvanchick [21]

Answer:

Step-by-step explanation:

254cm

4 0

2 years ago

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