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3 years ago

Find the mode for the following distribution.

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

7 0

Answer:

Step-by-step explanation:

mode means most so 24 is written twice and the others only once.

you're welcome if I helped. :/ (not sure if I helped)

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Determine if the triangles are congruent. If so, write a congruence statement. Explain your reasoning in a short paragraph proof

ivann1987 [24]

Answer: Yes

Step-by-step explanation:

The Vertical angle would show that 2 of the angles are exactly the same. Its also given 2 lines that are marked as congurent. Since we know that angle and the lines are congruent we can also say that angle IFJ is congruent to angle IHG meaning that they are congruent because of ASA (Angle Side Angle Theorem)

7 0

3 years ago

Construct a linear equation for the linear data presented in the table

yaroslaw [1]

Answer:

y = -7x

Explanation:

Take two points from table: (-4, 28), (-3, 21)

Find slope:

$\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points$

$\rightarrow \sf slope\ (m): \dfrac{21-28}{-3-(-4)} = -7$

Now find equation:

$\sf y - y_1 = m (x - x_1)$

$\rightarrow \sf y - 21 = -7(x - (-3))$

$\rightarrow \sf y = -7(x +3) + 21$

$\rightarrow \sf y = -7x -21 + 21$

$\rightarrow \sf y = -7x$

5 0

2 years ago

Read 2 more answers

What is the 23rd term of the arithmetic sequence where a1 = 8 and a9 = 48?

yKpoI14uk [10]

$a_1=8$
$a_2=a_1+d=8+d$
$a_3=a_2+d=(8+d)+d=8+2d$
$a_4=a_3+d=(8+d)+2d=8+3d$
...
$a_9=8+8d=48\implies d=5$
$a_{10}=8+9d$
...
$a_{23}=8+22d=118$

8 0

3 years ago

Read 2 more answers

20% of city employees ride the bus to work. This is up 10% from last year. What percent of employees rode the bus to work last y

Pepsi [2]

Answer:

18.18% of employees rode the bus to work last year

Step-by-step explanation:

This question can be solved using a rule of three.

Last year, a proportion of x employees riding the bus was 100% = 1.

This year, 20% = 0.2 ride the bus, which is 100 + 10 = 110% = 1.1 of last year.

0.2 - 1.1

x - 1

$1.1x = 0.2$

$x = \frac{0.2}{1.1}$

$x = 0.1818$

0.1818*100 = 18.18%

18.18% of employees rode the bus to work last year

4 0

3 years ago

A jumbo crayon is composed of a cylinder with a conical tip. The cylinder is 12 cm tall with a radius of 1.5 cm, and the cone ha

s2008m [1.1K]

Answer:

Part 1) The lateral area of the cone is $LA=2\pi\ cm^{2}$

Part 2) The lateral surface area of the cylinder is $LA=36\pi\ cm^{2}$

Part 3) The surface area of the crayon is $SA=41.50\pi\ cm^{2}$

Step-by-step explanation:

Part 1) Find the lateral area of the cone

The lateral area of the cone is equal to

$LA=\pi rl$

we have

$r=1\ cm$

$l=2\ cm$

substitute

$LA=\pi (1)(2)$

$LA=2\pi\ cm^{2}$

Part 2) Find the lateral surface area of the cylinder

The lateral area of the cylinder is equal to

$LA=2\pi rh$

we have

$r=1.5\ cm$

$h=12\ cm$

substitute

$LA=2\pi (1.5)(12)$

$LA=36\pi\ cm^{2}$

Part 3) Find the surface area of the crayon

The surface area of the crayon is equal to the lateral area of the cone, plus the lateral area of the cylinder, plus the top area of the cylinder plus the bottom base of the crayon

Find the area of the bottom base of the crayon

$A=\pi[r2^{2}-r1^{2}]$