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4 years ago

Match each equation to the situation it represents.

Mathematics

1 answer:

Alik [6]4 years ago

6 0

Answer:

See below.

Step-by-step explanation:

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Kate buys 10 tickets to a show. She also pays a $5 parking fee. She spent $35 to see the show.

Each ticket costs x.

10 tickets cost 10x.

Parking is $5.

Total is $35

10x + 5 = 35

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Ram has 35 gel pens. He gives an equal number of pens to each of his 5 friends and has 10 pens left for himself.

The number of pens he gives each friend is x.

The total number he gives is 5x.

He started with 35 pens ands ended up with 10 pens.

35 - 5x = 10

5x + 10 = 35

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Yin spends 10 hours on homework this week. She spends 5 hours on science homework and then answers 35 math problems.

Total time spent on homework is 10 hours.

Science homework is 5 hours.

She spends x time on each of the 35 problems, so the total time spent of the 35 problems is 35x.

35x + 5 = 10

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Calculate the sample standard deviation and sample variance for the following frequency distribution of hourly wages for a sampl

lidiya [134]

Answer:

(a) The sample variance is 16.51

(a) The sample standard deviation is 4.06

Step-by-step explanation:

Given

$\begin{array}{cc}{Class} & {Frequency} & 8.26 - 10.00 & 20 &10.01-11.75 & 38 &11.76 - 13.50& 36 & 13.51-15.25 &25&15.26-17.00 &27 &\ \end{array}$

Solving (a); The sample variance.

First, calculate the class midpoints.

This is the mean of the intervals.

i.e.

$x_1 = \frac{8.26+10.00}{2} = \frac{18.26}{2} = 9.13$

$x_2 = \frac{10.01+11.75}{2} = \frac{21.76}{2} = 10.88$

$x_3 = \frac{11.76+13.50}{2} = \frac{25.26}{2} = 12.63$

$x_4 = \frac{13.51+15.25}{2} = \frac{28.76}{2} = 14.38$

$x_5 = \frac{15.26+17.00}{2} = \frac{32.26}{2} = 16.13$

So, the table becomes:

$\begin{array}{ccc}{Class} & {Frequency} & {x} & 8.26 - 10.00 & 20&9.13 &10.01-11.75 & 38 &10.88&11.76 - 13.50& 36 &12.63& 13.51-15.25 &25&14.38&15.26-17.00 &27 &16.13\ \end{array}$

Next, calculate the mean

$\bar x = \frac{\sum fx}{\sum f}$

$\bar x = \frac{20*9.13 + 38 * 10.88+36*12.63+25*14.38+27*16.13}{20+38+36+25+27}$

$\bar x = \frac{1845.73}{146}$

$\bar x = 12.64$

Next, the sample variance is:

$\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f - 1}$

So, we have:

$\sigma^2 = \frac{20*(9.13-12.63)^2 + 38 * (10.88-12.63)^2 +...........+27 * (16.13 -12.63)^2}{20+38+36+25+27-1}$

$\sigma^2 = \frac{2393.6875}{145}$

$\sigma^2 = 16.51$

The sample standard deviation is:

$\sigma = \sqrt{\sigma^2}$

$\sigma = \sqrt{16.51}$

$\sigma = 4.06$

6 0

3 years ago

What is the cube number that equals 6

Crazy boy [7]

Answer:

6 Cubed

216

Step-by-step explanation:

6 Cubed

216

4 0

3 years ago

Read 2 more answers

A car travels at a speed of s miles per hour. It covers 126 miles in 3 hours.

makvit [3.9K]

Answer:

s=42

Step-by-step explanation: 126 divided by 3 = 42

42mph

8 0

2 years ago

Please Help. ASAP!!

Ratling [72]

Answer:

Equation: x + (x+ 1) = 67

Step-by-step explanation:

We want to find two consecutive integers.

Let them be labeled as x and x + 1

We want x + (x + 1) = 67

x is the smaller number

x + 1 is the largest

We can solve for x.

x + (x + 1) = 2x + 1 = 67

2x = 66

x = 33

The largest integer is 34

3 0

3 years ago

Can someone please help and please show work

pychu [463]

Answer:

Step-by-step explanation:

4 and a half

8 0

4 years ago