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oee [108]
3 years ago
7

58 Select the correct answer. An investment banking house conducted a survey to determine how two of its proposed investment pla

ns for three different age categories are used. This table shows the responses they received. Plan l Plan II Neither 19 14 17 Ages 26-35 Ages 36-45 Ages 46-55 14 28 8 00 27 21 2 What percentage of people preferring plan I are from the 36-45 age group, and what percentage of people from the 46-55 age group prefer plan II? Round your answers to the nearest whole number. OA 2396 of people who prefer plan I are from the 36-45 age group, and 42% of people from the 46-55 age group prefer plan II . O B. 28% of people who prefer plan I are from the 36-45 age group, and 42% of people from the 46-55 age group prefer plan II. 2396 of people who prefer plan I are from the 36-45 age group, and 33% of people from the 46-55 age group prefer plan II. 28% of people who prefer plan I are from the 36-45 age group, and 33% of people from the 46-55 age group prefer plan II. OD es reserved​
Mathematics
1 answer:
Arlecino [84]3 years ago
7 0

Answer:

23% of people who prefer plan I are from the 36–45 age group, and 42% of people from the 46–55 age group prefer plan II.

Step-by-step explanation:

___________Plan I___ Plan II ___Neither

Ages 26–35__ 19_____ 14_______ 17

Ages 36–45__ 14 _____28_______ 8

Ages 46–55__ 27 _____21_______ 2

Total Number who prefer plan 1 = (19 + 14 + 27) = 60

Number in the 36 - 45 age group = 14

Percentage = 14 / 60 = 0.2333 = 23%

Number of people in the 46-55 age group = (27 + 21 + 2) = 50

Number on the age group who prefer plan II = 21

Percentage = 21 / 50 = 0.42 = 0.42 * 100 = 42%

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Solve for x.4(2x + 3) = 3x + 3 + 2x
ElenaW [278]

Answer:

The value of x is -3.

Explanation:

Given the equation:

4\mleft(2x+3\mright)=3x+3+2x​

Step 1: Distribute 4 in the left-hand side.

\begin{gathered} 4\mleft(2x)+4(3\mright)=3x+3+2x​ \\ 8x+12=3x+2x​+3 \\ 8x+12=5x​+3 \end{gathered}

Step 2: Collect like terms.

\begin{gathered} 8x-5x=3-12 \\ 3x=-9 \end{gathered}

Step 3: Divide both sides by 3.

\begin{gathered} \frac{3x}{3}=-\frac{9}{3} \\ x=-3 \end{gathered}

The value of x is -3.

3 0
1 year ago
In the triangle below, what is the length of the hypotenuse?
aliina [53]

Answer:

<h2>B. 6</h2>

Step-by-step explanation:

I'd like to begin by apologizing for the late reply.

PROCESS:

1) Begin by analyzing the triangle

2) Notice how you can take the sin of 30 to find the hypotenuse

3) sin30= 3/x

4) If you don't see how I did that, a fun trig word play for functions, is

S O/H

C A/H

T O/A

where

S= Sine

C= Cosine

T= Tangent

O= Opposite

H= Hypotenuse

A= Adjacent

so side opposite of 30 is side 3, and the hypotenuse is x.

5) sin30= 3/x = 6

6) Your answer, hypotenuse is 6

BONUS: If you want to find the base length, use Pythagorean theorem.

c=√a2+b2

b=√c2-a2= √6^2 - 3^2= 5.19 or 5.2

7 0
3 years ago
What is the midpoint to the segment below?
shtirl [24]

Step-by-step Answer:

The coordinates of the mid-point of a segment whose end-points are known is the average of the coordinates of the end-points.

Here, the end-points are: (-11,0), (9,-1)

So the x-coordinate of the mid-point is (-11+9)/2 = (-2/2) = -1, and

the y-coordinate of the mid-point is (0-1)/2 = -0.5

So the mid-point is (-1,-0.5)

Check the numbers by plotting the point on the graph!

3 0
4 years ago
Anyone ? I’ll mark you the brainiest
Anestetic [448]

a^2 + b^2 = c^2

4 ^2 + b^2 = 19^2

= 16 + b^2 = 361

= b^2 = 345

= b = 18.6

7 0
3 years ago
Read 2 more answers
Which of the following lengths can not be the lengths of the sides of a triangle? A.) 4,6,9 B.) 3,4,2 C.) 2,2,3 D.) 1,1,2
lord [1]

Answer:

D

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

4 + 6 > 9

Yes, these lengths can form a triangle.

3 + 4 > 2

Yes, these lengths can form a triangle.

2 + 2 > 3

Yes, these lengths can form a triangle.

1 + 1 = 2

No, these lengths cannot form a triangle.

8 0
3 years ago
Read 2 more answers
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