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HACTEHA [7]
3 years ago
6

If there are 21 values in a data set in order from smallest to largest, what is the first quartile of the data set

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0

Answer:

See below in bold.

Step-by-step explanation:

The median will be the middle number - that is the 11th.

The first quartile will be the middle value of the first ten numbers.

That is the mean of the 5th and 6th number.

You might be interested in
Give the number of significant figures in this number: 40.00
Angelina_Jolie [31]

Answer:

4

Step-by-step explanation:

All the zero behind the four is also counted as a significant figure. As it is behind a number. If the number is 00.04 There will be only one significant figure. I don't know if I'm correct or not XD

6 0
3 years ago
Read 2 more answers
(a) Are triangles the congruent? Write the congruency statement.
Maru [420]

Answer:

Part A) Yes , the triangles are congruent

Part B) The side-angle-side (SAS) theorem

Part C) The perimeter of  ∆PQR is 17\ ft

Step-by-step explanation:

Step 1

we know that

The side-angle-side (SAS) theorem, states that: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

so in this problem

Traingle PQR and Triangle STU are congruent by the SAS Theorem

because

m<PQR=m<STU -------> included angle

PQ=TS

QR=TU

Step 2

<u>Find the value of y</u>

we know that

If the triangles are congruent

then

The corresponding sides are equal

so

PR=SU

substitute

(3y-2)=(y+4)

(3y-y)=(2+4)

(2y)=(6)

y=3\ ft

PR=3y-2=3(3)-2=7\ ft

SU=y+4=(3)+4=7\ ft

so

PR=SU

Step 3

Find the perimeter  ∆PQR

Remember that

The perimeter of  ∆PQR is equal to the perimeter  ∆STU

The perimeter is equal to

P=PQ+QR+PR

substitute the values

P=4+6+7=17\ ft

6 0
3 years ago
There are two numbers that equals 52.2 is less.what is the answer
Ivan
Set up an system:
x+y=52
x=y-2

Substitute in:
(y-2)+y=52
2y-2=52
2y=54
y=27

27-2=25

The answers are 27 and 25
3 0
3 years ago
Each question in the test was worth an equal number of points. Chris answered 6 questions incorrectly. How many questions did th
Art [367]

Using mathematical operations and ratios, the number of questions that the other kids answered incorrectly was <u>1 each</u>.

<h3>What are the mathematical operations?</h3>

The mathematical operations include these four basic operations - addition, subtraction, multiplication, and division.

These mathematical operations and ratios, which set one value equal to another, are used to solve mathematical problems.

<h3>Data and Calculations:</h3>

The number of questions = 20

Marks awarded to each question = 3 points

Average incorrect answers by Chris = 6

Average performance = 50%

Above average performance = 90%

Incorrect answers by other students = 10% (1 - 90%)

<h3>Incorrect performance ratios:</h3>

Chris = 50%

Four students = 10%

= 5 : 1

Chris' ratio = 5/6

Four students = 1/6

The number of questions that the four other students answered incorrectly was <u>1 question</u> (6/50% x 10%) or (6 x 1/6).

Thus, the other kids answered <u>1 question</u> each incorrectly.

Learn more about mathematical operations and ratios at brainly.com/question/12024093

#SPJ1

<h3>Question Completion:</h3>

A test has 20 questions. The test awards 3 points if the answer is correct and takes away 1 point if the answer is incorrect. Five students took the test, but four of the five students perform above average (90%). Chris, an average student (50%), answered 6 questions incorrectly. How many questions did the other kids answer incorrectly?

4 0
1 year ago
Given that f(x)=x^2+3x-28f(x)=x
spayn [35]

9514 1404 393

Answer:

  x^2 +4x -21

Step-by-step explanation:

Substitute the given expressions and simplify.

  f(x) + g(x)

  = (x^2 +3x -28) +(x +7)

  = x^2 +(3+1)x +(-28 +7)

  = x^2 +4x -21

6 0
3 years ago
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