Show a way to count from 170 to 410 using tens and hundreds. circle at least one benchmark number.

A box is filled with 3 yellow cards , 4 green cards. A card is chosen at random from the box. What is the probability that the c

nasty-shy [4]

Answer:

3/7

Step-by-step explanation:

total cards 3+4 = 7

Not green = 7-4 = 3 cards

P ( not green )= not green cards / total = 3/7

6 0

3 years ago

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Need help pls<br>thank you in advance

ira [324]

Answer:

<u />

$\textsf{Mean}\:\overline{X}=\sf \dfrac{\textsf{sum of all the data values}}{\textsf{total number of data values}}$

$\implies \sf Mean\:(Nilo)=\dfrac{5+6+14+15}{4}=\dfrac{40}{4}=10$

$\implies \sf Mean\:(Lisa)=\dfrac{8+9+11+12}{4}=\dfrac{40}{4}=10$

<h3><u>Standard Deviation</u></h3>

$\displaystyle \textsf{Standard Deviation }s=\sqrt{\dfrac{\sum X^2-\dfrac{(\sum X)^2}{n}}{n-1}}$

$\begin{aligned}\displaystyle \textsf{Standard Deviation (Nilo)} & =\sqrt{\dfrac{(5^2+6^2+14^2+15^2)-\dfrac{(5+6+14+15)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{482-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{82}{3}}\\\\& = 5.23\end{aligned}$

$\begin{aligned}\displaystyle \textsf{Standard Deviation (Lisa)} & =\sqrt{\dfrac{(8^2+9^2+11^2+12^2)-\dfrac{(8+9+11+12)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{410-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{10}{3}}\\\\& = 1.83\end{aligned}$

<h3><u>Summary</u></h3>

Nilo has a mean score of 10 and a standard deviation of 5.23.

Lisa has a mean score of 10 and a standard deviation of 1.83.

The <u>mean</u> scores are the <u>same</u>.

Nilo's standard deviation is higher than Lisa's. Therefore, Nilo's test scores are more <u>spread out</u> that Lisa's, which means Lisa's test scores are more <u>consistent</u>.

5 0

2 years ago

when buying a new dress, you have the choice of 3 different lengths, 5 different colors, and 2 different styles. How many choice

Thepotemich [5.8K]

Three choice because the choice are all different

5 0

3 years ago

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Melissa is stacking storage cubes in a crate the bottom of the crate is 8 inches by 12 inches. The volume of the crate is 768 cu

Karo-lina-s [1.5K]

Answer:

12 cubes can fit in the create.

Step-by-step explanation:

We know that the volume of a the crate is 768 in³, and the definition of the volume is:

$V=A*h$

Where:

V is the volume
A is the area (A=8*12 in²)
h is the height

So $h=\frac{V}{A}=\frac{768}{12*8}=8 in$

Now, we know that the storage cube has a length of 4 in so we have a volume equal to 64 in³. Therefore we just need to divide 768 in³ by 64 in³ it is 12.

Finally, 12 cubes can fit in the create.

I hope it helps you!

3 0

3 years ago

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I desperately need this question answered. See attached image thanks so much

Dahasolnce [82]

For this case we must follow the steps below:

step 1:

We place each of the given points on a coordinate axis

Step 2:

We join the AC points (represented by the orange line)

We join the BD points (represented by the blue line)

It is observed that the resulting figure after placing the 4 points on a coordinate axis, turns out to be a rhombus.

In addition, the blue and orange lines turn out to be perpendicular, that is, they have an angle of 90 degrees between them. This can be verified by finding the slopes of each of the two straight lines (blue and orange), which must be opposite reciprocal, that is, they comply: $m1 * m2 = -1$

In this case, the slope of the orange line is $m1 = 1$ and that of the blue line is $m2 = -1$

Then $m1 * m2 = 1 * -1 = -1$ , it is verified that they are perpendicular.

Thus, the conclusion is that ABCD is a rhombus and AC is perpendicular to BD.

Answer:

See attached image

Option D

6 0

3 years ago