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3 years ago

Find the mode 9,10,15,17,15,14,37,45,42,13

Mathematics

2 answers:

Lemur [1.5K]3 years ago

7 0

The answer is going to be 15

Alik [6]3 years ago

4 0

answer:

step-by-step explanation:

9, 10, 15, 17, 15, 14, 37, 45, 42, 13

mode means the number that appears the most
in the set of numbers, 15 appears twice, which the others appears only once

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Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.

SpyIntel [72]

Let

x------> the number of multiple choice question

y------> the number of free response question

we know that

$3x+8y=55$ -----> equation A

$x+y=15$

$x=15-y$ -----> equation B

Substitute equation B in equation A

$3[15-y]+8y=55$

$45-3y+8y=55$

$5y=55-45$

$5y=10$

$y=2$

Find the value of x

$x=15-y$

$x=15-2=13$

therefore

<u>the answer is</u>

the number of multiple choice question are $13$

the number of free response question are $2$

5 0

3 years ago

Read 2 more answers

Sasha packed unit cubes into a prism, as shown. Which statement about the volume of the box is true.

Zina [86]

Answer:

The answer is " The volume is greater than 50 cubic units "

Step-by-step explanation:

In this question, the value of the units and figure is missing that's why its solution can be defined as follows:

Let's the unit value =50 and please find the figure in the attachment file.

The given figure shows its box is not filled with 50 cubes. These were ten empty places where cubes could be placed.

This figure indicates that only the box size will be four units per five units per three units, so they realize it will be in...

$\to (4 \times 5 \times 3) \ units^3 = 60 \ units^3$

That's why the volume value exceeds 50 cubic units.

6 0

2 years ago

One student ate 3/20 of all candies and another 1.2 lb. The second student ate 3/5 of the candies and the remaining 0.3 lb. What

Roman55 [17]

The students ate 6 lbs of candies.

8 0

3 years ago

Inverse Variation

AURORKA [14]

$(1)\\R\cdot I=a\ \ \ \ and\ \ \ 50\cdot 0.15=a\\\\ \ \Rightarrow\ \ \ a=7.5\ \ \ \Rightarrow\ \ I= \frac{7.5}{R} \ \ \ \Rightarrow\ \ \ Ans.\ A.\\\\(2)\\x\cdot y=a\ \ \ and\ \ \ 8\cdot6=a\\\\ \ \Rightarrow\ \ \ a=48\ \Rightarrow\ \ \ xy=48\ \ \ \Rightarrow\ \ \ 10y=48\ \Rightarrow\ \ \ y=4.8\ \Rightarrow\ \ \ Ans.\ D.\\\\(3)\\xy=-12\ \ \Rightarrow\ \ \ constant=-12\ \ \Rightarrow\ \ \ Ans.\ D.\\\\$

$(4)\\xy=-12\\\\e.g.:\ \ \ x=3\ \ and\ \ y=-4\ \ \ \ or\ \ \ \ x=-3\ \ and\ \ y=4\ \ \Rightarrow\ \ Ans.\ A.\\\\(5)\\V\cdot T=a\ \ \ and\ \ \ 18\cdot 3=a\\\\ \ \ \Rightarrow\ \ \ a=54\ \ \ \Rightarrow\ \ \ V\cdot T=54\ \ \ \Rightarrow\ \ \ V= \frac{54}{T} \ \ \ \Rightarrow\ \ \ Ans.\ C.$

5 0

3 years ago

The figure is made up of a cone and a cylinder.

professor190 [17]

Answer:

38 mm³

Step-by-step explanation:

Calculate the volume of the cylinder and of the cone separately.

1. Volume of cylinder

The formula for the volume V of a cylinder is

V = πr²h

Data:

D = 4 mm

h = 2 mm

Calculations:

a. Calculate the radius

D = 2r

r = D/2 = 4/2 = 2 mm

b. Calculate the volume

V = 3.14 × 2² × 2 = 25.12 mm³

2. Volume of cone

The volume for the volume (V) of a cone is

V = ⅓πr²h

V = ⅓ × 3.14 × 2² × 3

V = 18.85 mm³

3. Calculate the total volume

V = 25.12 mm³ + 12.57 mm³ = 38 mm³

4 0

3 years ago