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4 years ago

3. Fares, paid $36.95 for each adult shirt and $23.95 for each

Mathematics

1 answer:

Talja [164]4 years ago

7 0

Step-by-step explanation:

2 adult shirts = 36.95 x 2 = 73.9

5 youth shirts = 23.95 × 5 = 119.75

Total = 119.75 + 73.9 = 193.65

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Find the value of x when y= –22 .<br> y=5x - 7

kaheart [24]

X=-3 because 5x-3=-15, -15-7 =-22

8 0

3 years ago

A grocery store sells 6 ears of corn for $3.54. Which of the fllowing shows how to find the amount of money that each ear of cor

Vlad [161]

Answer: B: 6÷3.54

Step-by-step explanation: Since they sold 6 ears and made $3.54 total, you would have to divide 6 by $3.54 to determine the cost of each ear.

4 0

3 years ago

Mr. Green teaches mathematics and his class recently finished a unit on statistics. The student scores on this unit are: 40 47 5

Harrizon [31]

Answer:

Mean = 64.46, Median = 62 and Mode = Bi-modal (50 and 62)

Range of the data is 55.

Step-by-step explanation:

We are given that Mr. Green teaches mathematics and his class recently finished a unit on statistics.

<u>The student scores on this unit are:</u> 40, 47, 50, 50, 50, 54, 56, 56, 60, 60, 62, 62, 62, 63, 65, 70, 70, 72, 76, 77, 80, 85, 85, 95.

We know that Measures of Central Tendency are: Mean, Median and Mode.

Mean is calculated as;

Mean = $\frac{\sum X}{n}$

where $\sum X$ = Sum of all values in the data

n = Number of observations = 24

So, Mean = $\frac{40+ 47+ 50+ 50+ 50+ 54+ 56+ 56+ 60 +60+ 62+ 62+ 62+ 63+ 65+ 70+ 70+ 72+ 76+ 77+ 80+ 85+ 85+ 95}{24}$

= $\frac{1547}{24}$ = 64.46

So, mean of data si 64.46.

For calculating Median, we have to observe that the number of observations (n) is even or odd, i.e.;

If n is odd, then the formula for calculating median is given by;

Median = $(\frac{n+1}{2})^{th} \text{ obs.}$

If n is even, then the formula for calculating median is given by;

Median = $\frac{(\frac{n}{2})^{th}\text{ obs.} +(\frac{n}{2}+1)^{th}\text{ obs.} }{2}$

Now here in our data, the number of observations is even, i.e. n = 24.

So, Median = $\frac{(\frac{n}{2})^{th}\text{ obs.} +(\frac{n}{2}+1)^{th}\text{ obs.} }{2}$

= $\frac{(\frac{24}{2})^{th}\text{ obs.} +(\frac{24}{2}+1)^{th}\text{ obs.} }{2}$

= $\frac{(12)^{th}\text{ obs.} +(13)^{th}\text{ obs.} }{2}$

= $\frac{62 + 62 }{2}$ = $\frac{124}{2}$ = 62

Hence, the median of the data is 62.

A Mode is a value that appears maximum number of times in our data.

In our data, there are two values which appear maximum number of times, i.e. 50 and 62 as these both appear maximum 3 times in the data.

This means our data is Bi-modal with 50 and 62.

The Range is calculated as the difference between the highest and lowest value in the data.

Range = Highest value - Lowest value

= 95 - 40 = 55

Hence, range of the data is 55.

5 0

4 years ago

Write the slope intercept form of the equation of each lie, given the slope and y-intercept.

Ghella [55]

Answer:

1.) y = 4/3x + (-5)

2.) y = -5x + 1

6 0

3 years ago

Tabitha decided to start saving pennies for a stretch of two months and initially started with 2 pennies. A table showing the nu

svetoff [14.1K]

Answer:

after week 7: 4374 pennies
486 pennies: after week 5

Step-by-step explanation:

The sequence values have a first term of 6 and a common ratio of 3, so can be described by the formula ...

an = 6·3^(n-1)

This can be rearranged to ...

an = 2·3^n

When n=7, the value is ...

a7 = 2·3^7 = 4374 . . . . pennies saved after 7 weeks

To find when there are 486 pennies saved, we can solve the equation ...

486 = 2·3^n

243 = 3^n

log(243) = n·log(3) . . . . . . . take the logarithm

log(243)/log(3) = n = 5 . . . . divide by the coefficient of n

Tabitha will have saved 486 pennies after 5 weeks.

7 0

3 years ago