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Elden [556K]
2 years ago
14

In the data set shown below, what is the value of the quartiles? {56, 58, 64, 68, 72, 75, 78} A. Q1 = 58; Q2 = 68; Q3 = 73.5 B.

Q1 = 61; Q2 = 68; Q3 = 73.5 C. Q1 = 75; Q2 = 68; Q3 = 58 D. Q1 = 58; Q2 = 68; Q3 = 75
Mathematics
2 answers:
Marysya12 [62]2 years ago
8 0

Answer:

(C) Q1: 55.5 Q2: 110 Q3: 295

Step-by-step explanation:

Given the dataset:

There are 25 items in the dataset.

To find Q2, We divide it into two equal parts and consider the middle term

Therefore: Q2 =110

Q1 = the median of the lower half of the data set.

Q3 = is the median of the upper half of the data set.

In the lower half of the data

Since there are even number of terms,

Median = (55+56)/2=55.5

Therefore: Q1=55.5

In the upper half of the data

Since there are even number of terms,

Median = (239+351)/2=295

Therefore: Q3=295

Q1: 55.5,  Q2: 110,  Q3: 295

The correct option is C.

Tresset [83]2 years ago
4 0

Answer:

6yx

Step-by-step explanation:

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3 years ago
A bank loaned out ​$19,000​, part of it at the rate of 9 % per year and the rest at 19 % per year. If the interest received in o
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Answer: $11100 was loaned at 9%

Step-by-step explanation:

Let x represent the amount that the

bank loaned out at the annual rate of 9%.

Let y represent the amount that the

bank loaned out at the annual rate of 19%.

The bank loaned out ​$19,000​, part of it at the rate of 9% per year and the rest at 19% per year. It means that

x + y = 19000

The interest on $x after 1 year would be

9/100 × x = 0.09x

The interest on $y after 1 year would be

19/100 × y = 0.19y

If the interest received in one year totaled ​$2500. It means that

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Substituting x = 19000 - y into equation 1, it becomes

0.09(19000 - y) + 0.19y = 2500

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7 0
3 years ago
Can someone please help me solve this?
Akimi4 [234]
A. This is the original equation: 2x + 3 - 1 = x + 5

b. 2x + 2 = x + 5 ← combined like terms on left side 
    2x + 2 - 2 = x + 5 - 2 ← used inverse operation to collect constants on right side
    2x = x + 3 ←simplified each side
    2x - x = x - x + 3 ←used inverse operation to collect variable terms on left side
    x = 3 ← simplified each side 
answer x = 3

c. 2(3) + 3 - 1 = 3 + 5
     6 + 3 - 1 = 8
       9  - 1 = 8
        8 = 8 
4 0
3 years ago
A right square pyramid with base edges of length $8\sqrt{2}$ units each and slant edges of length 10 units each is cut by a plan
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Answer:

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Step-by-step explanation:

Given:

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Now we use  Pythagoras to get the slant height in the middle of each triangle:

\sqrt{10^{2 - (4\sqrt{2} ^{2} }) } = \sqrt{100 - 32} = \sqrt{68}  units

One again, you can use Pythagoras again to get the perpendicular height of the entire pyramid.

\sqrt{68-(4\sqrt{2} ^{2} )} = \sqrt{68 - 32} = 6 units.

Because slant edges of length 10 units each is cut by a plane that is parallel to its base and 3 units above its base. So we have the other dementions of the small right square pyramid:

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So the volume of it is:

V  = 1/3 *3* 4\sqrt{2}

= 32 unit^{3}

5 0
3 years ago
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