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Y_Kistochka [10]
2 years ago
8

The cost of 5 scarves is $91.25. What is the unit price? The unit price is $ per scarf.

Mathematics
1 answer:
NikAS [45]2 years ago
6 0

Answer:

18.25

Step-by-step explanation:

just divide the total cost of scarves by the number of scarves:

91.25 / 5 = 18.25

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An up-and-coming artist has 85 followers on Twitter and this number doubles every week. In what week will the artist first reach
Alik [6]

Answer:

5.8 , which approximately is 6 weeks.

Step-by-step explanation:

the first method is the short one since u just have to double the 85 then divide to 1000.

1000 ÷ ( 85 × 2)

1000 ÷ 170 = 5.882,,,,,. round off to whole number to get 6.

the second method is the addition method.

we start by 85 then keep doubling 85 for every week........inshort.......we add 170 to each weeks number to get the number of followers for the following week.

85 ⇒ 170 ⇒ 340 ⇒ 510 ⇒ 680 ⇒ 850 ⇒ 1020.

     1st      2nd      3rd     4th      5th         6th     week.

u notice that we add (85×2), 170, to get the following week's number of followers..

in 5 weeks..... the number of followers is yet to get to 1000.

when u divide, u get 5.8.....,and it is not logic to say 5.8823....weeks

since she reaches 1000 followers in the 6th week.......though there is an addition,,,, it is the most appropriate answer.

3 0
2 years ago
In an assessment of the quality of the electrical power​ system, one measure of quality is the degree to which voltage fluctuati
denis23 [38]

Answer:

The answer is " 0.83"

Step-by-step explanation:

In the question some data is missing, that's value can be defined as follows:

Values:

\ X =  3.3 \\

\mu \ = 2.8 \% \\\sigma = 0.6

Formula:

z= \frac{X - \mu }{\sigma} \\

  = \frac{3.3 - 2.8 }{0.6} \\\\= \frac{ 0.5}{0.6} \\\\= \ 0.83

6 0
2 years ago
The thrill of riding a roller coaster is​ addictive, both for its users who take the​ ride, and for the designers and engineers
Makovka662 [10]

Answer:

The quantitative variables in this case are:

A.  Speed

D.  GForce

E.  Height

G. Duration

H. Numinversions

J.  Length

Step-by-step explanation:

One criteria to differentiate qualitative variables from quantitative variables is to determine if mathematical calculations over these variables makes sense.

If it makes sense, it is a quantitative variable.

For example, binary variables, although they can be represented by 0 and 1, would be a qualitative variable.

The quantitative variables in this case are:

A.  Speed

D.  GForce

E.  Height

G. Duration

H. Numinversions

J.  Length

They all will be represented by numbers for which mathematical operations make sense.

6 0
2 years ago
Triangles A B C and R M Q are shown. Angles C A B and M R Q are 29 degrees. Angles A B C and R M Q are 116 degrees. What additio
Svetlanka [38]

Answer:

Therefore, the two options for triangles to be congruent using AAS are

1. BC ≅ MQ       (Additional information)

2. AC ≅ RQ       (Additional information)

Step-by-step explanation:

Given:

∠CAB =∠MRQ = 29°

∠ABC = ∠RMQ = 116°

To Prove:

Δ ABC ≅ ΔRMQ  by AAS congruence test which additional information is required

Proof:

<u>Case 1.</u>

In  Δ ABC and Δ RMQ

∠CAB =∠MRQ = 29°      ……….{Given}

∠ABC = ∠RMQ = 116°     ..……..{Given}

BC ≅ MQ                        ……….{Additional information required}

Δ ABC ≅ Δ RMQ ….{By Angle-Angle-Side congruence test}

<u>Case 2.</u>

In  Δ ABC and Δ RMQ

∠CAB =∠MRQ = 29°      ……….{Given}

∠ABC = ∠RMQ = 116°     ..……..{Given}

AC ≅ RQ                        ……….{Additional information required}

Δ ABC ≅ Δ RMQ ….{By Angle-Angle-Side congruence test}

Therefore, the two options for triangles to be congruent using AAS are

1. BC ≅ MQ       (Additional information)

2. AC ≅ RQ       (Additional information)

3 0
2 years ago
Read 2 more answers
In Applied Life Data Analysis (Wiley, 1982), Wayne Nelson presents the breakdown time of an insulating fluid between electrodes
solong [7]

Our data are:

0.19

0.78

0.96

1.31

2.78

3.16

4.15

4.67

4.85

6.50

7.35

8.01

8.27

12.06

31.75

32.52

33.91

36.71

72.89

From this data we have n=19

Mean is (\bar{x}) equal to:

\bar{x} = \frac{\sum x_i}{n}

We summarize all the values and divide them by the total number of samples.

\bar{x}=\frac{272.82}{19}

\bar{x} = 14.3589

In another hand we have that Standard Variation is equal to

s=\sqrt{\frac{\sum(x_i-\bar{x})^2}{n-1}}

For this case we take the value of each of our samples, we subtract the average and we square it to that value. We do this with each of the data and in the end we divide them by the total population of the sample (n) minus 1.

s= \frac{(0.19-14.3589)^2.... (72.89-14.35)^2}{19-1}

s=18.880

8 0
2 years ago
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