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ankoles [38]
3 years ago
10

Which equivalent equation is the result of combining like terms in the given equation? 2r + 55 = 6r + 7 – 2r

Mathematics
1 answer:
nikklg [1K]3 years ago
6 0
I hope I help you out
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The five-number summary of the ages of passengers on a cruise ship is listed below. Min 1 Q1 20Median 29 Q3 38Max 80 Consider th
Eddi Din [679]

Answer: b. Only statement (ii) is correct.

Step-by-step explanation:

The given five-number summary of the ages of passengers on a cruise ship is listed below.

Min 1    Q_1 20     Median 29     Q_3 38         Max 80

Inter-quartile range = IQR=Q_3-Q_1=38-20=18

  • According to the 1.5(IQR) criterion for outliers : An data value is an outlier if it lies below Q_1 - 1.5(IQR) or  above Q_3 + 1.5(IQR).

Here , Q_1 - 1.5(IQR) =20-1.5(18)=-7

Q_3 + 1.5(IQR)=38+1.5(18)=65

Since the minimum value> Q_1 - 1.5(IQR) ( ∵ 1 > -7)

It means there is no value below Q_1 - 1.5(IQR)  , so there is no low -outlier.

⇒ Statement (i) "here is at least one passenger whose age is a low outlier. " is false.

But the maximum value > Q_3 + 1.5(IQR) (∵  85 > 65)

It means there are values above Q_3 + 1.5(IQR).

⇒Statement (ii) "There is at least one passenger whose age is a high outlier" is true.

Hence, the correct answer is b. Only statement (ii) is correct.

8 0
3 years ago
What is the means-to-MAD ratio of the two data sets, expressed as a decimal? Data set Mean Mean absolute deviation (MAD) 1 10.3
aleksklad [387]
Mean -to-MAD ratio is the division of the Mean by the Mean Absolute Deviaion (MAD). For the set 1, mean / MAD is 10.3 / 1. 6 = 6.4375; and for the set 2, Mean / MAD is: 12.7 / 1.5 = 8.467. This is a measure of disperssion of a set of values. MAD is calculated as the sum of the absolute differences of the values and the mean.
4 0
3 years ago
Cedric and Josh both ordered the same size pizzas at Marco’s Pizzeria; however, they ordered different toppings. Marco’s charges
Oksanka [162]
Let
C---------> <span>the cost of a pizza
</span>t----------> <span>number of toppings

we know that
</span>$15.74-3t=$14.49-2t
15.74-14.49=3t-2t-------------> t=1.25

the cost of one topping is $1.25
and the cost of one pizza <span>without topping is
</span>15.74-3*1.25--------> $11.99

then
<span>an equation for the cost of a pizza, C, as a function of the number of toppings, t ordered is
</span>C=11.99+1.25t

the answer is 
C=11.99+1.25t
6 0
3 years ago
Read 2 more answers
What operation should be used to solve the equation 153=g+45
Advocard [28]

Answer:

Subtraction

Step-by-step explanation:

Subtraction

153 - 45 = g + 45 - 45

108 = g

3 0
3 years ago
What is the equation of the line that passes through (–2, 3) and is parallel to 2x + 3y = 6?
Zinaida [17]
2x + 3y = 6
3y = - 2x + 6
y = -2/3x + 2....slope here is -2/3
A parallel line will have the same slope

y = mx + b
slope(m) = - 2/3
(-2,3)...x = -2 and y = 3
now we sub, we r looking for b, the y intercept
3 = -2/3(-2) + b
3 = 4/3 + b
3 - 4/3 = b
9/3 - 4/3 = b
5/3 = b

ur equation is : y = -2/3x + 5/3 (slope intercept form)

y = -2/3x + 5/3
2/3x + y = 5/3
2x + 3y = 5 (standard form)
7 0
3 years ago
Read 2 more answers
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