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3 years ago

Use the box plot to explain what you know about the spread of this data set.

Mathematics

1 answer:

k0ka [10]3 years ago

4 0

Answer:

The Middle is 50, The outliers are 20 and 75

Step-by-step explanation:

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Find the number between 30 and 70 that is divisible by 8, and when divided by 5 has a remainder of 1

monitta

30+70÷8÷5-1=
=30.75
hope this helps

7 0

2 years ago

What is the measure of Q to the nearest whole degree?

MrRa [10]

If this is your graph then your answer is 41.41 if not ask again and put your graph or copy it then paste it in the comments

6 0

3 years ago

A certain number of sixes and nines is added to give a sum of 126; if the number of sixes and nines is interchanged, the new sum

galina1969 [7]

Answer:

Original number of sixes = 6

Original number of nines = 10

Step-by-step explanation:

We are told in the question that:

A certain number of sixes and nines is added to give a sum of 126

Let us represent originally

the number of sixes = a

the number of nines = b

Hence:

6 × a + 9 × b = 126

6a + 9b = 126.....Equation 1

If the number of sixes and nines is interchanged, the new sum is 114.

For this second part, because it is interchanged,

Let us represent

the number of sixes = b

the number of nines = a

6 × b + 9 × a = 114

6b + 9a = 114.......Equation 2

9a + 6b = 114 .......Equation 2

6a + 9b = 126.....Equation 1

9a + 6b = 114 .......Equation 2

We solve using Elimination method

Multiply Equation 1 by the coefficient of a in Equation 2

Multiply Equation 2 by the coefficient of a in Equation 1

6a + 9b = 126.....Equation 1 × 9

9a + 6b = 114 .......Equation 2 × 6

54a + 81b = 1134 ........ Equation 3

54a + 36b = 684.........Equation 4

Subtract Equation 4 from Equation 3

= 45b = 450

divide both sides by b

45b/45 = 450/45

b = 10

Therefore, since the original the number of nines = b,

Original number of nines = 10

Also, to find the original number of sixes = a

We substitute 10 for b in Equation 1

6a + 9b = 126.....Equation 1

6a + 9 × 10 = 126

6a + 90 = 126

6a = 126 - 90

6a = 36

a = 36/6

a = 6

Therefore, the original number of sixes is 6

7 0

3 years ago

Each unit on a coordinate plane represents 1 mile. One end of the road starts at (212,23). The road ends at (6,23). How long is

olya-2409 [2.1K]

Distance formula : sqrt (x2 - x1)^2 + (y2 - y1)^2
(212,23)...x1 = 212 and y1 = 23
(6,23)......x2 = 6 and y2 = 23
now we sub
d = sqrt ((6 - 212)^2 + (23 - 23)^2)
d = sqrt ((- 206)^2 + (0^2))
d = sqrt (42436 + 0)
d = sqrt 42436
d = 206 miles <==

4 0

3 years ago

The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal di

xxMikexx [17]

Answer:

a) Therefore 92.64% of customers receive the service for half-price.

b) Therefore it would take 8.52 minutes

Step-by-step explanation:

Given that ime required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution with:

mean (μ) = 15 minutes

Standard deviation (σ) = 3.5 minutes

a) The z score is given by the equation:

$z=\frac{x-\mu}{\sigma}$

Since the service will take no longer than 20 minutes,

$z=\frac{x-\mu}{\sigma}=\frac{20-15}{3.5} = 1.43$

Using the probability table to get the probability of the z score

percent of customers receive the service for half-price = P(X < 20) = P(z < 1.43) = 0.9236 = 92.64%

Therefore 92.64% of customers receive the service for half-price.

b) Since the probability is 3% = 0.03, this corresponds with a z score of -1.88

Therefore:

$z=\frac{x-\mu}{\sigma}=\frac{x-15}{3.5} =-1.88$

$\frac{x-15}{3.5} =-1.88$

${x-15} =-6.58\\x=-6.58+15=8.52\\x=8.52 minutes$

Therefore it would take 8.52 minutes

6 0

2 years ago