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Charra [1.4K]
3 years ago
12

Hector surveyed all the sixth graders at his school about their favorite after-school activity.The table shows the results that

were used to make a bar graph.
Favorite Activities
Activity
Number of Students
Reading 44 Sports 55 Video games 55 Music 66
Which percentage bar graph best represents the data?
Mathematics
1 answer:
sergejj [24]3 years ago
7 0
Ok first add all of the results together 44+55+55+66=220     Then found out how many percent each number is of 220.   44 is 20% of 220,  55 is 25%, 55 is 25%,    66 is 30% 
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Because Bernard has some health issues, he must pay 15% more for life insurance. About how much more annually will a $115,000 10
ruslelena [56]
<span>$24 or D, Hope this helps :D</span>
6 0
3 years ago
Read 2 more answers
A counterexample for the expression sec(theta)/tan(theta)=sin(theta) is 45 degrees true of false
inessss [21]
A counterexample for the expression secФ / tanФ = sinФ is 45°
This is a FALSE statement.

Explanation:

Solving Right-hand side:

SecФ = 1 / CosФ

tanФ = SinФ / CosФ

secФ/tanФ = 1 / CosФ ÷ SinФ / CosФ

secФ/tanФ = 1 / CosФ × CosФ/SinФ

secФ/tanФ = CosФ / SinФCosФ

secФ/tanФ = 1 / SinФ

Hence,
            Left-hand side ≠ Right-hand side
3 0
3 years ago
Read 2 more answers
Wingspans of adult horses have approximate normal distribution with mean 125 cm and standard deviation 12 cm. What are the rst a
blagie [28]

Answer:

The first and third quartile of the wingspans are 116.9 cm and 133.1 cm respectively.

Step-by-step explanation:

The first and third quartile of a normal distribution are:

Q_{1}=\mu-0.675\sigma\\\\Q_{3}=\mu+0.675\sigma

The information provided is as follows:

\mu=125\\\sigma=12

Compute the first and third quartile of the wingspans as follows:

Q_{1}=\mu-0.675\sigma=125-(0.675\times 12)=116.9\\\\Q_{3}=\mu+0.675\sigma=125+(0.675\times 12)=133.1

Thus, the first and third quartile of the wingspans are 116.9 cm and 133.1 cm respectively.

7 0
3 years ago
Graph the data in the table. Which kind of function best models the data? Write an equation to model the data. quadratic; y = 2.
Oksanka [162]

Answer:

Option (1)

Step-by-step explanation:

x               -2              -1                 0                    1                   2

y               10            2.5                0                  2.5                3.0

Ist difference,

d_1=y_2-y_1

    =2.5-10=-7.5

d_2=y_3-y_2

    =0-2.5

    = -2.5

d_3=y_4-y_3

    =2.5-0

    = 2.5

d_4=y_5-y_4

    =10.0-2.5

    = 7.5

2nd difference,

x_1=d_2-d_1

    =-2.5+7.5

    = 5

x_2=d_3-d_2

    =2.5+2.5

    = 5

x_3=d_4-d_3

    =7.5-2.5

    = 5

Since 2nd difference is common, given table represents a quadratic equation.

Let the equation is,

y = ax²+ bx + c

For a point (0, 0) passing through the quadratic equation,

0 = c

Therefore, quadratic equation is y = ax² + bx

Since ordered pair (-1, 2.5) passes through the graph of the function,

2.5 = a(-1)² + b(-1)

a - b = 2.5 ------(1)

For another point (1, 2.5)

2.5 = a(1)² + b(1)

a + b = 2.5 ------(2)

By adding equations (1) and (2),

2a = 5

a = 2.5

and from equation (2)→ y = 0

Therefore, equation of the quadratic function given in the table is y = 2.5x²

Option (1) is the answer.

8 0
3 years ago
A piece of cloth is required to completely cover a solid object. The solid object is composed of a hemisphere and a cone surmoun
Otrada [13]

Answer:

  • ▶(B) 463.39 m²
<h3>Step-by-step explanation:</h3>

\space

Surface area of hemisphere = 2πr²

=> 2×22/7× (7)² = 308 m²

☯<u>For calculating the surface area of a cone we need to calculate its slant height,</u>

\sf{ \leadsto \: 1 =  \sqrt{49 + 1}  =   \sqrt{50 \: } m}

\space

\sf{ \leadsto \: \pi \ r1 =  \frac{22}{7} \times 7  \times  \sqrt{50}  = 463.39 \:  {m}^{2}  }

\:  \:

Hope it helps!

Have a great day! :)

8 0
2 years ago
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