What is the net mass of sugar if the gross mass is 12.5kg and the empty container is 400g

The heights of two groups of students in different grades are shown in the box-and-whisker plot below.

sertanlavr [38]

Answer:

D

Step-by-step explanation:

The first quartile of group A is greater than the first quartile of group B.

7 0

2 years ago

Point R divides in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of

ollegr [7]

Question:

Point R divides in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of Q?

Answer:

x-coordinate of Q is 5

Solution:

Given that,

Point R divides in the ratio 1 : 3

Which means,

Point R divides the line segment PQ internally

The x-coordinate of the point which divides the line segment in ration m:n internally is given as:

$x=(\frac{mx_{2}+nx_{1}}{m+n} )$

Where,

$x$ = x-coordinate of point dividing the segment R = -1

$x_1$ = x-coordinate of P = -3

$x_2$ = x-coordinate of Q = ?

m : n = 1 : 3

m = 1

n = 3

Therefore,

$-1 = \frac{1 \times x_2 + 3 \times -3}{1+3}\\\\-1 = \frac{x_2 -9}{4}\\\\x_2 - 9 = -4\\\\x_2 = 9 - 4\\\\x_2 = 5$

Thus x-coordinate of Q is 5

5 0

2 years ago

Which of these cannot represent the lengths of the sides of a right triangle?

Sholpan [36]

<h3>Answer: Choice D. 8m, 9m, 10m</h3>

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Explanation:

If a = 8 and b = 9 are the two legs of a triangle and c = 10 is the hypotenuse, then

a^2 + b^2 = c^2

8^2 + 9^2 = 10^2

64 + 81 = 100

145 = 100

We get a false equation as 145 and 100 are two different values. So the original equation is false when (a,b,c) = (8,9,10)

By the converse of the pythagorean theorem, we have proven that this particular triangle is not a right triangle

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Contrast this with something like choice A where we have a = 3, b = 4, c = 5 leading to

a^2 + b^2 = c^2

3^2 + 4^2 = 5^2

9 + 16 = 25

25 = 25

we get a true equation so a triangle with sides 3,4,5 is a right triangle. Choices B and C follow a similar path.

4 0

3 years ago

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Can someone help me with this question? Will give brainliest.

just olya [345]

Answer:

5.2561

step by step explanation:

using BODMAS, multiplication comes before addition.

Therefore,

$\sqrt{1.13 + (2.84 \times 9.33)}$

$\sqrt{1.13 + 26.4971}$

$\sqrt{27.6272}$

Therefore the answer is

5.2561

7 0

2 years ago

what is the probability that a card picked at random from a 52-card deck of playing cards is a club or a jack?

ASHA 777 [7]

$|\Omega|=52\\ |A|=\underbrace{13}_{\text{clubs}}+\underbrace{4}_{\text{jacks}}-\underbrace{1}_{\text{jack of clubs}}=16\\\\ P(A)=\dfrac{16}{52}=\dfrac{4}{13}\approx31\%$

7 0

2 years ago

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