Find the distance between the two points in simplest radical form.<br> (3, -8) and (-2,-1)

Allison is evaluating the expression -5-(-2) using integer tiles. She begins with 5 negative tiles as shown. What should Alison

IrinaVladis [17]

Answer:

-3

Step-by-step explanation:

Allison has 5 negative tiles

Next she needs to remove 2 negative tiles

What is left is 3 negative tiles

(-5) -(-2) = (-5+2)=-3

3 0

2 years ago

Read 2 more answers

Stephanie puts 30 cubes in a box. each cube is 1/2 an inch on each side. The box holds 2 layers of 15 cubes. what is the volume

Serhud [2]

Answer:

3.75 cubic inches

Step-by-step explanation:

Volume = length x breadth x height

since the box holds 2 layers of 15 cubes

length contains 5 cubes= 5x1/2 inches=2.5 inches

breadth contains 3 cubes=3x1/2inches=1.5 inches

height contains 2 cubes=2x1/2inches=1.0 inches

Volume=2.5x1.5x1.0=3.75 cubic inches

5 0

3 years ago

3. Find the mZNPI.<br> Exterior angle of triangles

IRINA_888 [86]

Answer:

Step-by-step explanation:

180-143=37

NPI=180-37

NPI=143°

4 0

2 years ago

The students at Woodward Elementary voted for a school mascot. The falcon won with 5/8 of the votes and the eagle came second wi

Alenkasestr [34]

195 students voted for eagle in the election

What is ratio?

Ratio means expressing the a figure as a fraction of total figure, in the case of falcon, the number of students that voted for falcon is seen as 5 whereas the total number of students that voted is 8 whereas for eagle, the total number of students that voted for eagle is 1 compared to 3 which represents the total number of votes cast.

In a bid to determine the number of students that voted eagle in the election, we would simply multiply total votes of 536 by 1/3

votes for eagle=1/3*586

votes for eagle=195 votes

We have rounded to the nearest whole number since number of votes cannot be fractional

Find out more on fractions:brainly.com/question/11562149

#SPJ4

4 0

1 year ago

The article "Monte Carlo Simulation—Tool for Better Understanding of LRFD" (J. Structural Engr., 1993: 1586–1599) suggests that

Sedaia [141]

Answer:

a) $P(X$

And we can find this probability using the normal standard distribution or excel and we got:

$P(z$

b) $P(X>40)=P(\frac{X-\mu}{\sigma}>\frac{60-\mu}{\sigma})=P(Z>\frac{60-43}{4.5})=P(z>3.78)$

And we can find this probability using the complement rule and normal standard distribution or excel and we got:

$P(z>3.78)=1-P(Z$

c) $z=0.674$

And if we solve for a we got

$a=43 +0.674*4.5=46.033$

So the value of height that separates the bottom 75% of data from the top 25% is 46.033.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(43,4.5)$

Where $\mu=43$ and $\sigma=4.5$

Part a

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using the normal standard distribution or excel and we got:

$P(z$

Part b

$P(X>40)=P(\frac{X-\mu}{\sigma}>\frac{60-\mu}{\sigma})=P(Z>\frac{60-43}{4.5})=P(z>3.78)$

And we can find this probability using the complement rule and normal standard distribution or excel and we got:

$P(z>3.78)=1-P(Z$

Part c

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.25$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=0.674$

And if we solve for a we got

$a=43 +0.674*4.5=46.033$

So the value of height that separates the bottom 75% of data from the top 25% is 46.033.

8 0

3 years ago

Find the distance between the two points in simplest radical form. (3, -8) and (-2,-1)