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AVprozaik [17]
3 years ago
6

HELPPPP ASAPPPP PLSSSSS

Mathematics
1 answer:
masya89 [10]3 years ago
6 0

Answer:

Option C

Step-by-step explanation:

Data for week 1,

$25, $44, $48, $63, $75

Mean of the given data = \frac{25+44+48+63+75}{5}

                                       = 51

Median of the data set = Middle term of the data set = 48

Range = Highest term - Lowest term

           = 75 - 51

           = 24

Mode = Most repeated term of the data set = None

Data for week 2,

$35, $35, $48, $62, $75

Mean of the given data = \frac{35+35+48+62+75}{5}

                                       = 51

Median of the data set = Middle term of the data set = 48

Mode of the data set = Most repeated number of the data set

                                   = 35

Range = 75 - 35 = 40

Option A

"Median and the range of week 1 equal to the median and range of week 2"

False.

Option B

"Median and mode of week 1 are equal to the median and mode of week 2"

False

Option C

"Mean and median of week 1 is equal to the mean and median of week 2"

True.

Option D

"Mean and range of week 1 is equal to the mean and range of week 2"

False.

Option C is the correct option.

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James used a substitution to solve this system of equations. Which equation could be a result of his first step? 2x+3y=12 y=x+1.
Blizzard [7]

Answer:

x = 1.5

y = 3

Step-by-step explanation:

to solve this system of equation using the substitution methods we say let

2x+3y=12................................... equation 1

y=x+1.5..................................... equation 2

substitute equation 2  into equation 1

2x+3y=12................................... equation 1

2x + 3( x + 1.5) = 12

2x + 3x + 4.5 = 12

5x + 4.5 = 12

collect the like terms

5x = 12 - 4.5

5x = 7.5

divide both sides by the coefficient of x which is 5

5x/5 = 7.5/5

x = 1.5

put x = 1.5 into equation 2

y=x+1.5..................................... equation 2

y = 1.5 + 1.5

y = 3

therefore the value of x = 1.5 and y = 3 respectively.

5 0
3 years ago
The value of 5s in 25,578
mash [69]

Answer:

500 and 5,000

Step-by-step explanation:

The value of the first 5 is five hundred (500)

The value of the second is five thousand (5,000)

7 0
3 years ago
Answer the question for a normal random variable x with mean μ and standard deviation σ specified below. (Round your answer to o
vladimir2022 [97]

Answer:

x = 63.6

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X and also the area to its left. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to its right.

In this problem, we have that:

\mu = 38, \sigma = 11

Find a value of x that has area 0.01 to its right

This is x when Z has a pvalue of 1-0.01 = 0.99. So it is X when Z = 2.3267.

Z = \frac{X - \mu}{\sigma}

2.3267 = \frac{X - 38}{11}

X - 38 = 11*2.3267

X = 63.6

So x = 63.6

6 0
3 years ago
Approximately 1,870,000 oz of gold went into the manufacturing of electronic equipment in a certain country in 1 year. This was
Alexxandr [17]

Answer: 17000000 ounces of gold were mined in that country that year.

Step-by-step explanation:

Let x represent the number of ounces of gold that were mined in that country that year.

Approximately 1,870,000 oz of gold went into the manufacturing of electronic equipment in a certain country in 1 year. This was 11% of all the gold mined in that country that year. This means that

11/100 × x = 1870000

0.11x = 1870000

x = 1870000/0.11

x = 17000000

7 0
3 years ago
Lines m and n are parallel.
Vera_Pavlovna [14]

Answer:

c

Step-by-step explanation:

5 0
3 years ago
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