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3 years ago

Which property is demonstrated by the equation (5 + a) + 3 = (a + 5) + 3?

Mathematics

1 answer:

sineoko [7]3 years ago

4 0

Answer:

Communitive Property

Step-by-step explanation:

Commutative property = 2 + 3 = 3 + 2 or 2(3) = 3(2)

Associative Property = (2 x 3) 5 = 2 (3 x 5) or (2 + 3) + 5 = 2 + (3 + 5)

Inverse Property = 2 + (-2) = 0 or (2/1)(½) = 1

Basic Definitions:

Commutative Property - Gives you the ability to switch the order of the numbers in an expression.

Associative Property - Let's you move the parenthesis in an expression but not the numbers.

Inverse - Uses numbers like 0 and 1.

Using these basic definitions and examples, we can summarize that the best answer would be Communitive Property

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Which statements are true about the tangent function? Check all that apply

Yuki888 [10]

Function tangent of an angle in a right triangle equals
- opposite side / adjacent side
- sine of the angle / cosine of the angle

For this reason, all answers choices are correct except the fourth one, which is the cotangent of angle PAB.

7 0

2 years ago

Read 2 more answers

A teacher was interested in finding out whether a special study program would increase the scores of students on a national exam

bija089 [108]

Answer:

Check the explanation

Step-by-step explanation:

Going by the first attached image below we reject H_o against H_1 if obs. $T > t_{\alpha /2;n-1}$

here obs.T=1.879

$\therefore obs.T \ngtr 2.447=t_{0.025;6}$

we accept $H_o:\mu _{1}=\mu_{2}$ at 5% level of significance.

i.e there is no sufficient evidence to indicate that the special study program is more effective at 5% level of significance.

this problem is simillar to the previous one except the alternative hypothesis.

Let X_i's denote the bonuses given by female managers and Y_i's denote the bonuses given by male managers.

we assume that $X_i \sim N(\mu _{1},\sigma _{1}^{2}) Y_i \sim N(\mu _{2},\sigma _{2}^{2})$ independently

We want to test $H_0:\mu_{1}=\mu_{2} vs H_1:\mu_{1}\neq \mu_{2}$

define $D_i=X_i-Y_i , i=1(1)8$

now $D_i\sim N(\mu _{1}-\mu _{2}=\mu _{D},\sigma _{1}^{2}+\sigma _{2}^{2}=\sigma _{D}^{2}) , i=1(1)8$

the hypothesis becomes

$H_0:\mu_{D}=0 vs H_1:\mu_{D}\neq 0$

in the third attached image, we use the same test statistic as before

i.e at 5% level of significance there is not enough evidence to indicate a difference in average bonuses .

3 0

2 years ago

Find the volume. Thanks!!!

pshichka [43]

Answer:

Step-by-step explanation:

slant height is given. Using Pythagorean theorem to find height.

h² = 10² - 5²

= 100 - 25

h² = 75

h = √75

h = 8.66 cm

Volume =(1/3)πr²h

$=\frac{1}{3}*3.14*5*5*8.66\\\\=\frac{679.83}{3}\\\\$

= 226.62 cubic cm

5 0

3 years ago

Divde 3/4÷5/7 what was the error 5/7÷3/4=5/7*4/3=20/21

Dmitriy789 [7]

he change 3/4 instead of 5/7

3 0

3 years ago

A. n=55 b. n=25 c. n=5 d. n=3025

Mnenie [13.5K]

Answer:

Step-by-step explanation:

Assuming the triangle is right, use Pythagoras' identity to find N

The square on the hypotenuse is equat to the sum of the squares on the other 2 sides.

Here the hypotenuse = 73, thus

N² + 48² = 73², that is

N² + 2304 = 5329 ( subtract 2304 from both sides )

N² = 3025 ( take the square root of both sides )

N = $\sqrt{3025}$ = 55 → A

5 0

3 years ago