All categories

3 years ago

Tentukan mean, median, dan modus dari 7,4,5,6,7,4,5,7,8,9, dan 6

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

3 0

Answer:

<h3>Median = 6</h3><h3>Mean = 6,1</h3><h3>Modus = 7</h3>

Step-by-step explanation:

Median (Nila tengah setelah data diurutkan)

= 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 9

= 6

Mean

= jumlah data / banyak data

= 4+4+5+5+6+6+7+7+7+8+9/11

= 68/11

= 6,1

Modus

= data yang paling banyak muncul

= 7 (muncul sebanyak 3 kali)

You might be interested in

1. You have three standard decks of cards in front of you. What is the probability of drawing a heart card from all three decks?

Paladinen [302]

Answer:

1.56%

Step-by-step explanation:

A standard deck of cards has 52 cards, and 13 of these are hearts, as there are 4 suits, and 52/4=13. This means the probability of choosing a heart card from a deck of cards is 1/4, or 25%. Now to find the probability of doing this from 3 decks in a row, we simply cube 1/4 to get 1/64, and in percentage this is ~1.56%.

7 0

3 years ago

Use the following diagram to find the angle measures of the triangle, rounded to the nearest degree.

nadezda [96]

Answer:

m∠A = 30°

m∠B = 80°

m∠C = 70°

Step-by-step explanation:

By applying cosine rule in the given triangle,

b² = a² + c² - 2ac[cos(∠B)]

From the given triangle,

a = 14 m

b = 28 m

c = 24 m

(28)² = (14)² + (24)² - 2(14)(24)cos(B)

784 = 196 + 576 - 672cos(∠B)

cos(∠B) = 0.1786

∠B = $\text{cos}^{-1}(0.1786)$

∠B = 79.71°

∠B = 80°

By applying sine rule in the given triangle,

$\frac{\text{sinA}}{a}= \frac{\text{sinB}}{b}= \frac{\text{sinC}}{c}$

$\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}= \frac{\text{sinC}}{24}$

$\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}$

$\text{sinA}= \frac{\text{sin(79.71)}\times 14}{28}$

sinA = 0.491958

A = 29.47°

A ≈ 30°

By applying triangle sum theorem,

m∠A + m∠B + m∠C = 180°

30° + 80° + m∠C = 180°

m∠C = 70°

4 0

3 years ago

A medical researcher needs 37 people to test the effectiveness of an experimental drug. If 101 people have volunteered for the t

Rashid [163]

Answer:

The number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=\frac{n!}{k!\cdot (n-k)!}$

Compute the number of ways to select 37 people from 101 as follows:

${101\choose 37}=\frac{101!}{37!\cdot (101-37)!}$

$=\frac{101!}{37!\times 64!}\\\\=\frac{101\times 100\times 99\times....64!}{37!\times 64!}\\\\=5397234129638871133346507775$

Thus, the number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

5 0

2 years ago

Better Crocker is baking a cake. She needs 2 1/4 cups of sugar and 1 1/2 cups of brown sugar. How much sugar does she need in al

Svet_ta [14]

Answer:

3 3/4 cups of sugar

Step-by-step explanation:

7 0

3 years ago

Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in ord

Readme [11.4K]

Answer:

Area of parallelogram is 150 square ft

Step-by-step explanation:

Given the parallelogram in the figure whose height is 10 ft and base length is 15 ft.

Area of parallelogram is $base \times height$

= $15\times 10ft^2$

= 150 square ft

now we have to decompose this parallelogram into rectangles and triangles and then to determine the shape.

The given parallelogram KLMN can be decomposed into 2 triangles and one rectangle.

2 right angled triangles KPL and NOM by construction

$KL^{2}=KP^{2}+PL^{2}=10^{2}+2^{2} =100+4=104$

⇒ $KL=\sqrt104=10.2 ft=MN$ (∵ KLMN is a parallelogram)

Hence, dimension of triangles are 10 ft, 2 ft and 10.2 ft

Now rectangle KPON with dimension 15 ft and 10 ft because KP and NO are perpendiculars on LM.

5 0

3 years ago