All categories

3 years ago

Contrapositive statement if a shape is a rhombus then it has four congruent sides

Mathematics

1 answer:

frutty [35]3 years ago

3 0

If a shape does not have four congruent sides, then it is not a rhombus.

You might be interested in

-4(-3x - 8) - 4x + 8 = -8x + 40

Andrew [12]

First we expand and combine the terms on the left side. This gives us

12x + 32 -4x + 8 = -8x + 40

8x + 40 = -8x + 40. Because the two sides cancel each other out when you try and bring all the x to one side, the answer is x = 0.

3 0

3 years ago

At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 18 m

Colt1911 [192]

Answer:

99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 18 minutes

Standard Deviation, σ = 4 minutes

We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.

Empirical Formula:

Almost all the data lies within three standard deviation from the mean for a normally distributed data.
About 68% of data lies within one standard deviation from the mean.
About 95% of data lies within two standard deviations of the mean.
About 99.7% of data lies within three standard deviation of the mean.

Thus, 99.7% of the customers have to wait:

$\mu -3\sigma = 18-3(4) = 6\\\mu +3\sigma = 18+3(4) = 30$

Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

3 0

3 years ago

The daily revenues of a cafe near the university are approximately normally distributed. The owner recently collected a random s

lbvjy [14]

Answer:

The sample size to obtain the desired margin of error is 160.

Step-by-step explanation:

The Margin of Error is given as

$MOE=z_{crit}\times\dfrac{\sigma}{\sqrt{n}}$

Rearranging this equation in terms of n gives

$n=\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2$

Now the Margin of Error is reduced by 2 so the new M_2 is given as M/2 so the value of n_2 is calculated as

$n_2=\left[z_{crit}\times \dfrac{\sigma}{M_2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{\sigma}{M/2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{2\sigma}{M}\right]^2\\n_2=2^2\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4n$

As n is given as 40 so the new sample size is given as

$n_2=4n\\n_2=4*40\\n_2=160$

So the sample size to obtain the desired margin of error is 160.

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%7Cx-%5Cfrac%7B1%7D%7B2%7D%7C%3D3%5Cfrac%7B2%7D%7B3%7D" id="TexFormula1" title="|x-\frac{1}{2}

Bogdan [553]

Answer:

x= 4 1/6, -3 1/6

Step-by-step explanation:

Hope this helps

8 0

3 years ago

Read 2 more answers

If Laura walks 3 miles in 80 minutes, then Laura will walk how far in 120 minutes if she walks at the same speed the whole time?

svet-max [94.6K]

Answer: the answer would be 4.5

Step-by-step explanation:

she walks 3 miles every 80 minutes and 80 plus 80 would be 160 but this is 120 so it would be 80 plus 40 so its half of 80 so half of 3 is 1.5 so there, hopes this helps

5 0

3 years ago

Read 2 more answers