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2 years ago

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The reciprocal of 1 2/5

1 answer:

Mnenie [13.5K]2 years ago

7 0

5/7

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With a little care, you can find the median and the quartiles from the histogram. what are these numbers? you can also find the

coldgirl [10]

Complete Question

The histogram from this question is shown on the first uploaded image

Answer:

The first quartile is $1st Q = 19^{th} girl (subject ) = 1 \serving\ of\ fruit\ per\ day$

The median is $Median = 38 ^{th} \ girl (subject) = 2 \serving\ of\ fruit\ per\ day$

The third quartile is $3rd Q = 56^{th} \ girl (subject) = 4 \serving\ of\ fruit\ per\ day$

The mean is $\= x = 2.62$

Step-by-step explanation:

From the question we are told that

The total number of girls is n = 74

Generally the median is mathematically represented as

$Median = \frac{\frac{n}{2} +[ \frac{n}{2} + 1] }{2}$

So

$Median = \frac{\frac{74}{2} +[ \frac{74}{2} + 1] }{2}$

=> $Median = \frac{37 +38 }{2}$

=> $Median =37.5 \ girl$

From the histogram $37.5 \approx 38^{th} \ girl$ fall under 2 fruits per day

Generally the first quartile is mathematically represented as

$1st \ Q = \frac{\frac{n}{4} + [\frac{n}{4} + 1] }{2}$

=> $1st \ Q = \frac{\frac{74}{4} + [\frac{74}{4} + 1] }{2}$

=> $1st \ Q = 19 \ girl$

From the histogram $19^{th}$ girl fall under 1 fruit per day

Generally the third quartile is mathematically represented as

$3rd\ Q = \frac{\frac{n}{2} + n }{2}$

=> $3rd\ Q = \frac{\frac{74}{2} + 74 }{2}$

=> $3rd\ Q = 55.5$

From the histogram $55.5 \approx 56^{th} \ girl$ fall under 4 fruits per day

Generally from the histogram table the frequency [number of subjects (girls) ] and the servings of fruit per day can be represented as

Total

x(servings per day ) 0 1 2 3 4 5 6 7 8

f (number of subjects ) 15 11 15 11 8 5 3 3 3 $\sum f = 74$

xf 0 11 30 33 32 25 18 21 24 $\sum xf = 194$

Generally the mean is mathematically represented as

$\= x = \frac{1}{ \sum f} * [\sum xf]$

=> $\= x = \frac{1}{ 74} *194$

=> $\= x = 2.62$

4 0

2 years ago

Use the remainder theorem to find the remainder of 2x^4 + x^2 - 10x -1 divided by x +2.

Svetllana [295]

Remainder Theorem says that if there is any Polynomial equation P(x), which is to be divided by (x - a) then remainder can be calculated by substituting value of a in equation P(x).

$2x^{4} +x^{2}-10x-1$ = P(x) divided by $(x+2)$

Step 1: Find a

To find a we will have to convert (x+2) into (x - a) form

i.e. (x+2) = (x - (-2))

therefore, a = -2

Step 2: Substitute value of a in P(x),

By substitution we get,

$2(-2)^{4}+(-2)^{2}-10(-2)-1$

= $2(16) + 4 +20 -1$

= $32 +4 + 20 - 1$

= $55$ = Remainder

Hence, Remainder is 55.

8 0

2 years ago

PLEASE HELP!!! 40pts

mote1985 [20]

Answer:

i think a

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Find the arc length for a circle with diameter 10 inches and central angle 60 degrees. Round to the nearest tenth.

UkoKoshka [18]

Answer:

C. 5.2 cm

Step-by-step explanation:

Arc length formula:

$s = \dfrac{n}{360^\circ} 2 \pi r$

where s = arc length

n = central angle of arc

r = radius of circle

diamter = d = 10 cm

r = d/2 = 10 cm/2 = 5 cm

n = 60 deg

$s = \dfrac{n}{360^\circ} 2 \pi r$

$s = \dfrac{60^\circ}{360^\circ} 2 \times 3.14159 \times 5 ~cm$

$s = 5.2~cm$

Answer: 5.2 cm

6 0

3 years ago

What is the sum of the interior angles of the polygon shown below?

Yuki888 [10]

Answer:

540°

Step-by-step explanation:

Just divide the shape into triangles and count the number of triangles. This is what your formula is doing for you. It's telling you how many triangles make up the shape and then multiplying that number by 180 degrees to find the sum of your interior angles.

4 0

2 years ago