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wolverine [178]

2 years ago

7

Marco is building a box to store his son's toy wooden cubes. Each wooden cube has a volume of 1/12 cubic meter. In total, how

many wooden cubes will fit in the box?

1 answer:

Paladinen [302]2 years ago

7 0

Answer:

12

Step-by-step explanation:

if its not 12, what is the volume of the box.

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Kyle asked a random group of students what their favorite sport was. The results are below. Boys Girls Basketball 10 8 Football

Ronch [10]

Answer:

The probability that Kyle will pick a girl who likes football is 12.5%.

Step-by-step explanation:

The data provided is as follows:

Boys Girls Total

Basketball 10 8 18

Football 25 7 32

Soccer 9 19 28

Baseball 18 22 40

Total 62 56 118

Compute the probability that Kyle will pick a girl who likes football as follows:

$P(F|G)=\frac{n(G\cap F)}{n(G)}$

$=\frac{7}{56}\\\\=0.125\\\\=12.5\%$

Thus, the probability that Kyle will pick a girl who likes football is 12.5%.

6 0

3 years ago

A total of tickets 569 were sold for the school play. they were either adult tickets or student tickets. there were 69 more stud

makkiz [27]

------------------------------------------
Define adult and student tickets
------------------------------------------
Let the number of adult tickets be x
Adult tickets = x
Student tickets = x + 69

------------------------------------------
Form equation and solve for x
------------------------------------------
x + x + 69 = 569
2x + 69 = 569 ← Combine like terms
2x = 569 - 69 ← Subtract 69 from both sides
2x = 500
x = 250 ← Divide by 2 to find x

------------------------------------------------------------------------------------
Find the number of adult tickets and student tickets
------------------------------------------------------------------------------------
Adult tickets = x = 250
Student tickets = x + 69 = 319

------------------------------------------------------------------------------------
Answer: Adult tickets = 250 ; Student tickets = 319
------------------------------------------------------------------------------------

7 0

2 years ago

Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form ModifyingBelow lim With h

Gre4nikov [31]

Answer:

$\dfrac{1}{2\sqrt{x}}$

Step-by-step explanation:

$f(x) = \sqrt{x} = x^{\frac{1}{2}}$

$f(x+h) = \sqrt{x+h} = (x+h)^{\frac{1}{2}}$

We use binomial expansion for $(x+h)^{\frac{1}{2}}$

This can be rewritten as

$[x(1+\dfrac{h}{x})]^{\frac{1}{2}}$

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}$

From the expansion

$(1+x)^n=1+nx+\dfrac{n(n-1)}{2!}+\ldots$

Setting $x=\dfrac{h}{x}$ and $n=\frac{1}{2}$ ,

$(1+\dfrac{h}{x})^{\frac{1}{2}}=1+(\dfrac{h}{x})(\dfrac{1}{2})+\dfrac{\frac{1}{2}(1-\frac{1}{2})}{2!}(\dfrac{h}{x})^2+\tldots$

$=1+\dfrac{h}{2x}-\dfrac{h^2}{8x^2}+\ldots$

Multiplying by $x^{\frac{1}{2}}$ ,

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}=x^{\frac{1}{2}}+\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots$

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}=\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots$

$\dfrac{x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}}{h}=\dfrac{1}{2x^{\frac{1}{2}}}-\dfrac{h}{8x^{\frac{3}{2}}}+\ldots$

The limit of this as $h\to 0$ is

$\lim_{h\to0} \dfrac{f(x+h)-f(x)}{h}=\dfrac{1}{2x^{\frac{1}{2}}}=\dfrac{1}{2\sqrt{x}}$ (since all the other terms involve $h$ and vanish to 0.)

8 0

3 years ago

The ratios of corresponding sides in the two triangles are equal. What other information is needed to prove that △FGE ~ △IJH by

schepotkina [342]

solution: option B and C both are correct i.e., option C is correct i.e., ∠E ≅∠H and ∠I ≅ ∠F .

option C is correct i.e., ∠E ≅∠H.

explanation:

it is given that ratio of corresponding sides of ΔFGE and ΔIJH are equal

i.e.,

$\frac{GE}{JH}=\frac{EF}{HI}$

and if ∠E ≅ ∠H

Then ΔFGE and ΔIJH are similar by SAS (side angle side) similarity theorem.

so option C is correct i.e., ∠E ≅ ∠H.

and option B is also correct

explanation:

since it is given that

$\frac{FG}{IJ}=\frac{EF}{HI}$

And if ∠I ≅ ∠F

then ΔFGE and ΔIJH are similar by SAS (side angle side) similarity theorem.

7 0

3 years ago

Read 2 more answers

Please help asap! I will give Brainliest!!!

vichka [17]

Answer:

A rational number is part of a whole expressed as a fraction, decimal or a percentage. ... Alternatively, an irrational number is any number that is not rational. It is a number that cannot be written as a ratio of two integers (or cannot be expressed as a fraction).

hope this helps

Step-by-step explanation:

3 0

3 years ago