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pashok25 [27]
3 years ago
6

A spider has 8 legs. An ant has 6 legs. There are a group of spiders and a group of ants. The groups have equal numbers of legs.

What is the least number of spiders and ants in each group? Show your work
Mathematics
1 answer:
Lemur [1.5K]3 years ago
8 0
There are three spiders and 4 ants in all
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What is the length of LM if L(3,4) and M(1,-2)? Round to the nearest tenth.
kari74 [83]

Answer:

We conclude that the length of LM if L(3,4) and M(1,-2) will be:

d = 6.3

Hence, option D is correct.

Step-by-step explanation:

Given

  • L(3,4)
  • M(1,-2)

Determining the length of LM

  • (x₁, y₁) = (3, 4)
  • (x₂, y₂) = (1, -2)

The length of the distance between (x₁, y₁)  and (x₂, y₂)  can be determined using the formula

d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

substituting (x₁, y₁) = (3, 4) and (x₂, y₂) = (1, -2)

   =\sqrt{\left(1-3\right)^2+\left(-2-4\right)^2}

   =\sqrt{2^2+6^2}

   =\sqrt{4+36}

   =\sqrt{40}

   =\sqrt{4\times 10}

   =\sqrt{2^2\times \:10}

   =2\sqrt{10}

   =6.3

Therefore, we conclude that the length of LM if L(3,4) and M(1,-2) will be:

d = 6.3

Hence, option D is correct.

5 0
3 years ago
The Student Monitor surveys 1200 undergraduates from 100 colleges semiannually to understand trends among college students. Rece
nlexa [21]

Answer:

A sample size of 385 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

You feel that a reasonable estimate of the standard deviation is 10.0 hours.

This means that \sigma = 10

What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence?

A sample size of n is needed. n is found when M = 1. So

M = z\frac{\sigma}{\sqrt{n}}

1 = 1.96\frac{10}{\sqrt{n}}

\sqrt{n} = 1.96*10

(\sqrt{n})^2 = (1.96*10)^2

n = 384.16

Rounding up:

A sample size of 385 is needed.

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umka21 [38]

Answer:-69

Step-by-step explanation:

The sum of +3 & (6-0)=9

-60-(+9)=-69

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Explain answer <br> GIVING BRAINIEST
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Answer:

The slope of the line is 2. To find the slope I marked two points on the line, which were (-3, 0) and (-2, 2). Then I used the \frac{Rise}{Run} technique. Moving up 2 units and to the right 1 unit, which would be represented by \frac{2}{1}.

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