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olganol [36]
3 years ago
12

The students at a school are voting on their favorite type of music. Charles surveys a representative sample of students to dete

rmine for which type of music each student will vote. The results are in the table below.
STUDENT VOTES
Type of Music Number of Votes
Hip Hop 21
Jazz 15
Classic Rock 9
Punk 6
Charles thinks that if all 850 students vote, 355 students will vote for jazz.

By how many students is his prediction off?

Enter your answer in the box.
Mathematics
1 answer:
Tpy6a [65]3 years ago
5 0
Wait wouldn’t it just be subtracting 355 from 15 cause if so your answer is 340 but I’m not to sure
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If 12x+8 is less than 6,what is the value of 8x​
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Leo has a lock box with a volume of 312 cubic inches. The box is 4 inches high and 13 inches long. What is the width of the box?
natima [27]

Answer:

6in

Step-by-step explanation:

Given data

Volume of the lockbox= 312 cubic inches

Height= 4in

Length= 13in

Width= ???

The expression for the volume of box is

V= L*W*H

substitute

312=13*W*4

312=52W

W= 312/52

W=6 in

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6 0
3 years ago
Since f is parallel to line g, use the diagram to the right right to answer the following question (I need help with problem D a
Snezhnost [94]

Given,

The line f and g are parallel lines.

a)The measure of angle 2 is 117 degree.

By exterior atlernate angle property,

\begin{gathered} \angle2=\angle7 \\ \angle7=117^{\circ} \end{gathered}

The measure of angle 7 is 117 degree.

b)The measure of angle 4 is 68 degree.

By sum of adjacent angle between two parallel lines property,

\begin{gathered} \angle4+\angle6=180^{\circ} \\ \angle6=180^{\circ}-68^{\circ} \\ \angle6=112^{\circ} \end{gathered}

The measure of angle 6 is 112 degree.

c)The measure of angle 5 is 32 degree.

By alternate interior angle property,

\begin{gathered} \angle4=\angle5^{} \\ \angle4=32^{\circ} \end{gathered}

The measure of angle 4 is 32 degree.

d)The measure of angle 7 is 121 degree.

By corresponding angle property,

\begin{gathered} \angle7=\angle3^{} \\ \angle3=121^{\circ} \end{gathered}

The measure of angle 3 is 121 degree.

3 0
1 year ago
Find (a) arc length and (b) Area of a sector.
barxatty [35]

Answer:

a) 29.45 cm (2 dp)

b) 220.89 cm² (2 dp)

Step-by-step explanation:

<u>Formula</u>

\textsf{Arc length}=r \theta

\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta

\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}

<u>Calculation</u>

Given:

  • \theta=\dfrac{5 \pi}{8}
  • r = 15 cm

\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}

\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}

5 0
1 year ago
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