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2 years ago

Find the mean for the set of data. 0.2, 0.21, 0.17, 3.22, 0.2

Mathematics

2 answers:

Sholpan [36]2 years ago

7 0

Answer:

0.8

Step-by-step explanation:

Find the mean of the list:

(0.2, 0.21, 0.17, 3.22, 0.2)

The mean of a list of numbers is given by:

(sum of elements)/(number of elements)

(sum of elements) = 0.2 + 0.21 + 0.17 + 3.22 + 0.2:

(0.2 + 0.21 + 0.17 + 3.22 + 0.2)/(number of elements)

Counting, we see that the list has 5 elements:

(0.2 + 0.21 + 0.17 + 3.22 + 0.2)/5

0.2 + 0.21 + 0.17 + 3.22 + 0.2 = 4:

4/5

4/5 = 0.8:

Answer: 0.8

Maksim231197 [3]2 years ago

6 0

Answer:

0.8

Step-by-step explanation:

The mean of the data set can be found by adding all terms together and dividing by the amount of terms there is. In this case, add all the numbers and divide by 5:

(0.2 + 0.21 + 0.17 + 3.22 + 0.2)/5 =

(4)/5 = 0.8

0.8 is the mean for the given set.

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Here is a triangular pyramid and its net.

bazaltina [42]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

${\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}$

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

$\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}$

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

$\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}$

Hence,

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

3 0

3 years ago

A bowl of Halloween candy has 17 Kit-Kats, 23 Hershey bars, 11 Starbursts, and 14 Skittles packets.

gladu [14]

Answer:

a.) 8/13 = 0.6154.

b) 11/65 = 0.1692

c.) 0.0267

d.) 0.0222

Step-by-step explanation:

firstly, we determine total number of candies.

17 kit kat(K)+ 23 hershey(H) + 11 starburst(B) + 14 skittles(S) = 65 candies.

Since, Probability = favourable outcome / possible outcome.

With replacement,

a.) probability of chocolate candy (kitkat or hershey) = 17/65 or 23/65

= 17/65 + 23/65

=40/65 = 8/13

b.) probability of selecting a starburst = 11/65

When without replacement:,

c) 2 kit kats, 1 skittles as first three picks and one chocolate candy as the last pick, = [KKSK], [KSKK], [SKKK], [KKSH], [KSKH], [SKKH]

[(17/65 * 16/64 * 14/63 * 15/62) × 3] + [(17/65 * 16/64 * 14/63 * 23/62) ×3]

Note: first bracket and fourth brackets are multiplied by 3 because the value of the first bracket is same for the first three brackets and the second three brackets also have the same values.

Re:chocolate candy means either KitKat or Hershey.

=[(51720/16248960) × 3] + [(87584/16248960) ×3]

=0.0105 +0.0162

= 0.0267.

d.) 1 kitkat, 1 skittles and 1 hershey as first 3 picks and one Starburst as the last pick.

= [KSHB], [KHSB], [SKHB], [SHKB], [HKSB], [HSKB]

= [(17/65 * 14/64 * 23/63 * 11/62) × 6]

note: multiplied by 6 because we will have the same value for all 6 brackets

= 60214/16248960 * 6

= 0.0222.

5 0

3 years ago

Wilmer went up a hill for x minutes at a speed of y kilometers per minutes. Then he went down the same path at a speed of z kilo

dedylja [7]

Answer:

$xy=wz$

Step-by-step explanation:

Given that:

Speed of Wilmer up the hill = $y$ km/min

Time taken up the hill = $x$ minutes

Speed of Wilmer down the hill = $z$ km/min

Time taken up the hill = $w$ minutes

Distance can be calculated by multiplying the Speed with Time i.e.

The formula for distance is given as:

$Distance = Speed \times Time$

Distance up the hill = $y\times x =xy\ kilometers$

Distance down the hill = $z\times w =wz\ kilometers$

It is well known that, the distance up the hill and down the hill will be same.

Putting both the values equal, we get:

$xy=wz$

4 0

2 years ago

9 1/4 - 4 5/6 subtraction

cricket20 [7]

Answer:

4 5/12

Step-by-step explanation:

Rewriting our equation with parts separated

Solving the whole number parts

Solving the fraction parts

Find the LCD of 1/4 and 5/6 and rewrite to solve with the equivalent fractions.

LCD = 12

Combining the whole and fraction parts

6 0

2 years ago

Read 2 more answers

Find the amount of time. I=$237. 90, P=$1525, r=2. 6%<br> Find the amount of time. __ Years

Virty [35]

$~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$237.90\\ P=\textit{original amount deposited}\dotfill & \$1525\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ t=years \end{cases} \\\\\\ 237.90 = (1525)(0.026)(t)\implies \cfrac{237.90}{(1525)(0.026)}=t \implies 6=t$

3 0

2 years ago