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3 years ago

10

In elementary school (grades 1 to 6), there is a strong association between a child’s height and the child’s reading ability. Ta

ller children tend to be able to read at a higher level. However, there is a very significant confounding variable that is influencing both height and reading ability. What is it?

1 answer:

galina1969 [7]3 years ago

5 0

Age level and grade level. Because usually the taller children are older and in a higher grade level.

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-5x+7x-10 = 4x+2-3x+1

Arisa [49]

The answer would be 13

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3 years ago

A stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer. If the top laye

Svetlanka [38]

Answer: The total number of logs in the pile is 6.

Step-by-step explanation: Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two logs.

We are to find the total number of logs in the pile.

Let n represents the total number of logs in the pile.

Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with

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We know that

the n-th term of an arithmetic sequence with first term a and common difference d is

$a_n=a+(n-10)d.$

Since there are n logs in the pile, so we get

$a+(n-1)d=2\\\\\Rightarrow 32+(n-1)(-6)=2\\\\\Rightarrow 32-6n+6=2\\\\\Rightarrow 6n=36\\\\\Rightarrow n=6.$

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3 years ago

A cone shaped popcorn cup has a radius of 5 cm and a height of 9cm. How many cubic cm of popcorn can the cup hold? Use 3.14 as a

katovenus [111]

Answer:

The cup can hold <u>235.5 cubic cm</u> of popcorn.

Step-by-step explanation:

Given:

A cone shaped popcorn cup has a radius of 5 cm and a height of 9cm.

Use 3.14 as an approximation for pi.

Now, to find cubic cm of popcorn the cup can hold.

Radius ( r ) = 5 cm.

Height ( h ) = 9 cm.

π = 3.14 ( as per question ).

So, to get the cubic cm of popcorn the cup can hold we put formula of volume:

$Volume = \pi r^2\frac{h}{3}$

$Volume=3.14\times 5^2\times \frac{9}{3}$

$Volume=3.14\times 25\times 3$

$Volume=235.5\ cubic\ cm.$

Therefore, the cup can hold 235.5 cubic cm of popcorn.

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4 years ago

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nika2105 [10]

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3 years ago

The output of an economic system Q, subject to two inputs, such as labor L and capital K, is often modeled by the Cobb-Dougl

Anna35 [415]

Answer:

Step-by-step explanation:

Given

Economic system Q is given by

$Q=cL^aK^b$

also $a+b=1$

if $Q=12,200$

$a=\frac{1}{6}$

$b=\frac{5}{6}$

$c=42$

substitute these values

$12,200=42\times (L)^{\frac{1}{6}}K^{\frac{5}{6}}$

$(L)^{\frac{1}{6}}K^{\frac{5}{6}}=\frac{12,200}{42}$

$K^{\frac{5}{6}}=\frac{12,200}{42(L)^{\frac{1}{6}}}$

$K=(\frac{12,200}{42})^{\frac{6}{5}}\times \frac{1}{L^{5}}$

differentiate w.r.t to L to get $\frac{dK}{dL}$

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$\frac{dK}{dL}=-\frac{4515.466}{L^6}$

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3 years ago