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4 years ago

Complete the tree map by using the review words.

Mathematics

1 answer:

olga_2 [115]4 years ago

3 0

Answer:

Number sentences.

Addition-Addend-Sum.

Subtraction-Difference.

Step-by-step explanation:

1. By definition Number sentences contains number and common symbols.

2. They can be: "Addition" (which has "Addend" that form the "Sum") and "Subtraction" (whose result is known as "Difference").

3. You can see the answer of the tree map in the figure attached.

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Determine and prove what shape is formed for the given coordinates for ABCD, and then find the

ella [17]

Answer:

Square

Step-by-step explanation:

Plot points A (10,-4), B (6,-7), C (3,-3), D (7,0) on the coordinate plane.

Find slopes of the sides:

$AB:\ \dfrac{-7-(-4)}{6-10}=\dfrac{3}{4}\\ \\BC:\ \dfrac{-3-(-7)}{3-6}=-\dfrac{4}{3}\\ \\CD:\ \dfrac{0-(-3)}{7-3}=\dfrac{3}{4}\\ \\DA:\ \dfrac{-4-0}{10-7}=-\dfrac{4}{3}$

The slopes of opposite sides are the same, so opposite sides are parallel. The slopes of adjacent sides have product of -1, then adjacent sides are perpendicular.

Find the lengths of all sides:

$AB=\sqrt{(10-6)^2+(-4-(-7))^2}=\sqrt{4^2+3^2}=\sqrt{16+9}=\sqrt{25}=5\ units\\ \\BC=\sqrt{(6-3)^2+(-7-(-3))^2}=\sqrt{3^2+4^2}=\sqrt{16+9}=\sqrt{25}=5\ units\\ \\CD=\sqrt{(3-7)^2+(-3-0)^2}=\sqrt{4^2+3^2}=\sqrt{16+9}=\sqrt{25}=5\ units\\ \\AD=\sqrt{(10-7)^2+(-4-0)^2}=\sqrt{3^2+4^2}=\sqrt{16+9}=\sqrt{25}=5\ units\\ \\$

All four sides are of the same length.

Quadrilateral ABCD is a square (all sides of equal length and perpendicular)

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3 years ago

The product of five rational numbers is positive. At most,

Yuliya22 [10]

It would be four. You can have four negative numbers and they will turn positive. For example, if you had -2 x -2 x -4 x -4 = 64. 64 would be positive because two negative numbers equal a positive number.

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3 years ago

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Answer:

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4 years ago

6<br> in.<br> 2 in.<br> find area

VladimirAG [237]

Answer:

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Step-by-step explanation:

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4 years ago

Read 2 more answers

The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2984 and standard deviation

DedPeter [7]

Answer:

a. The distribution of X is normal.

b. The probability that the customer consumes less than 2863 calories is 0.4213

c. 42.01% of of the customers consume over 3107 calories

d. The fewest number of calories a person must consume to receive the Piggy award is 4131,41 calories.

Step-by-step explanation:

Let X be the calorie of a randomly chosen customer consumes.

a. The distribution of X is normal.

b. The probability that the customer consumes less than 2863 calories =P(x<2863)=P(z<z*) where z* is the z-statistic of X=2863 calorie.

z* can be calculated using the formula

(1) z*= $\frac{X-M}{s}$ where

X =2863

M is the mean calories consumed by customers at the Chinese buffet (2984)

s is the standard deviation (610)

Then z*= $\frac{2863-2984}{610}$ ≈−0.1984

And P(z<z*)=0.4213

c. The proportion of the customers consume over 3107 calories is

1 - the proportion of the customers consume less than 3107 calories.

= 1- P(z<z*) where z* is the z-statistic of X=3107 calorie.

From above formula (1) we get:

z*= $\frac{3107-2984}{610}$ ≈ 0.5799 and 1-0.5799=0.4201

Thus, 42.01% of of the customers consume over 3107 calories

d. The Piggy award will given out to the 3% of customers, and let z* be the z-score of the the fewest number of calories a person must consume to receive the Piggy award, then

P(z>z*)=0.03 (3%) or P(z<z*)=0.97 gives z*= 1.881

From (1), we have the equation 1.881= $\frac{X-2984}{610}$

We get X= (1.881×610)+2984 =4131,41

The fewest number of calories a person must consume to receive the Piggy award is 4131,41 calories.

7 0

3 years ago