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3 years ago

Answer the last one the question os list five numbers that have 3,5 and 7 as prime Factors .

Mathematics

1 answer:

Katarina [22]3 years ago

5 0

You can multiply 3*5*7=105 and any multiple of 105 will have those as prime factors since they will be divisible by them.

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The dot plot below shows the number of toys 21 shops sold in an hour:

Firlakuza [10]

Answer: A.Median; because the data is not symmetric and there are outliers

Step-by-step explanation:

From the given dot plot , we can see that the data plot is skewed not symmetric .

Aldo there are outliers at 9 since most of the dots are between 0 to 4.

We know that the median provides better description of the center of the data then mean when the data is skewed.

Therefore , the median is a better center for this data because the data is not symmetric and there are outliers.

3 0

3 years ago

This was the question it got deleted I just need 1,2,5

scoundrel [369]

Answer:

1. The volume of the cylinder is 263 $cm^{3}$ .

2. The volume of the cylinder is 12 $m^{3}$ .

3. The volume of the cylinder is 3165.1 $cm^{3}$ .

4. The radius of the cylinder is 3.6 cm.

5a. Area of the base is 50.2 $cm^{2}$ .

5b. The curved surface area of the pencil holder is 351.7 $cm^{2}$ .

5c. The surface are of the pencil holder is 452.2 $cm^{2}$ .

Step-by-step explanation:

1. The given shape is a cylinder, so that;

volume of a cylinder = $\pi$ $r^{2}$ h

= 3.14 x $(3.8)^{2}$ x 5.8

= 262.98128

The volume of the cylinder is 263 $cm^{3}$ .

2. This is also a cylinder, but with a given diameter.

radius = $\frac{diameter}{2}$

= $\frac{1.2}{2}$ = 0.6 m

volume of a cylinder = $\pi$ $r^{2}$ h

= 3.14 x $(0.6)^{2}$ x 10.6

= 11.98224

The volume of the cylinder is 12 $m^{3}$ .

3. volume of a cylinder = $\pi$ $r^{2}$ h

= 3.14 x $6^{2}$ x 28

= 3165.12

The volume of the cylinder is 3165.1 $cm^{3}$ .

4. volume of a cylinder = $\pi$ $r^{2}$ h

239 = 3.14 x $r^{2}$ x 6

239 = 18.84 $r^{2}$

$r^{2}$ = $\frac{239}{18.84}$

= 12.6858

r = $\sqrt{12.6858}$

= 3.5617

The radius of the cylinder is 3.6 cm.

5. Area of the base = $\pi$ $r^{2}$

radius = $\frac{diameter}{2}$

= $\frac{8}{2}$ = 4 cm

Area of the base = 3.14 x $4^{2}$

= 50.24

Area of the base is 50.2 $cm^{2}$ .

5b. Area of the curved surface of the pencil holder = 2 $\pi$ rh

= 2 x 3.14 x 4 x 14

= 351.68

The curved surface area of the pencil holder is 351.7 $cm^{2}$ .

5c. Surface area of the pencil holder = 2 $\pi$ rh + 2 $\pi$ $r^{2}$

= 2 $\pi$ r(h + r)

= 2 x 3.14 x 4 (14 + 4)

= 452.16

The surface are of the pencil holder is 452.2 $cm^{2}$ .

7 0

2 years ago

The number of words defined on pages randomly selected from a dictionary are given below. Find the range and standard deviation

faltersainse [42]

Answer: The range of the set of numbers is 46 and the standard deviation is 14.44 .

Explanation:

In is given that the observations are 65, 59, 43, 43, 40, 63, 71, 77, 31, 64.

From given data it is noticed that the highest observation is 77 and the lowest observation is 31.

Range = Highest observation - Lowest observation

Range = 77 - 31 = 46

To find the standard deviation, first we have to find the mean.

$\text{Mean}={\frac{\text{Sum of observation}}{\text{Total number of observations}}$

Total of the observations is 556 and number of observation is 10.

$\text{Mean}=\frac{556}{10}=55.6$

Formula fr standard deviation is,

$\sigma =\sqrt{\frac{\sum (x-mean)^2}{n}}$

To find the above values form a table as shown below.

$\sigma =\sqrt{\frac{2086.4}{10}}$

$\sigma =\sqrt{208.64}$

$\sigma =14.44$

Therefore, the range of the set of numbers is 46 and the standard deviation is 14.44 .

7 0

3 years ago

Be a detective and solve this case: There are 53 bicycles in a room, and a man is dead on the floor next to them. Why was the ma

mina [271]

<span>The 53 bicycles are the bicycle brand of playing cards. Since we all know that a deck contains 52 cards, he must have been cheating and he put another card in the deck. His buddy caught him and killed him</span>

3 0

3 years ago

Solve for x: -2(x + 3) = -2(x + 1) - 4

Nataly [62]

$-2(x+3)=-2(x+1)-4\\\\-2x-6=-2x-2-4\\\\-2x-6=-2x-6\ \ \ \ |add\ (-2x)\ to\ both\ sides\\\\-6=-6\ \ TRUE\\\\
infinitely\ many\ solutions,\ x\in\mathbb{R}.$

8 0

3 years ago

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