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kipiarov [429]
3 years ago
5

Select the postulate that is illustrated for the real numbers. 3x + 3 = 3(x + 1) The commutative postulate for multiplication Mu

ltiplication by one The distributive postulate The multiplication inverse The addition of zero postulate Commutative postulate for addition The addition inverse postulate
Mathematics
1 answer:
fredd [130]3 years ago
4 0
Distributive postulate.

The expression 3x + 3 = 3(x + 1) is an example of a distributive postulate. It says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.
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Find the volume of this sphere.<br> Round to the nearest tenth.<br> 16 ft<br> [ ? ] ft3
erastovalidia [21]

Answer:

<h2><em>2</em><em>1</em><em>4</em><em>4</em><em>.</em><em>7</em><em> </em><em>ft^</em><em>3</em></h2>

<em>Sol</em><em>ution</em><em>,</em>

<em>Diam</em><em>eter</em><em> (</em><em>d</em><em>)</em><em>=</em><em>1</em><em>6</em><em> </em><em>ft</em>

<em>Radius</em><em>(</em><em>r</em><em>)</em><em>=</em><em>8</em><em> </em><em>ft</em>

<em>Volume</em><em> </em><em>of</em><em> </em><em>sphere</em>

<em>=  \frac{4}{3} \pi \:  {r}^{3}  \\  =  \frac{4}{3}  \times 3.14  \times  {8}^{3}  \\  =  \frac{4}{3}  \times  3.14 \times 512 \\  = 2144.7 \:  {ft}^{3}</em>

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>

3 0
3 years ago
In triangle STU, u2 = s2 + t2.
sineoko [7]

Answer:

(B) The measure of angle SUT is equal to 90 degrees

Step-by-step explanation:

It is given that in In triangle STU, u^2=s^2+t^2.

We can see from the triangle and also the given condition that the triangle will be right triangle as it is satisfying the Pythagoras theorem.

(Hyp)^2=(Base)^2+(Perpendicular)^2

that is:

u^{2}=s^{2}+t^{2}

where u is the hypotenuse, s is the base and t is the perpendicular.

Thus, the angle SUT should be of 90°.

Thus, The measure of angle SUT is equal to 90 degrees.

Hence, option B is correct.

3 0
3 years ago
A test consists of 10 true or false questions. To pass the test a student must answer at least eight questions correctly. If the
forsale [732]
<h3>The probability of  student passing the quiz with  at least 50% of the questions correct is 0.05457.</h3>

Step-by-step explanation:

Here, the total number of T/F question = 10

The minimum answers needed correctly answered = 8

So, student needs to answer at least 8 questions correctly.

Here, the possibility of answering a question correctly  = (\frac{1}{2})   = p = 0.5

Also, the possibility of answering a question wrong  = (\frac{1}{2})  = q = 0.5

Now, to pass he needs to answer 8 or more (  8 , 9 or 10) answers correctly.

P(answering 8 correct answer)  = ^{10}C_8(p)^8(q)^2 = ^{10}C_8(0.5)^8(0.5)^2  = 0.0439

P(answering 9 correct answer)  =  ^{10}C_9(p)^9(q)^1 = ^{10}C_9(0.5)^9(0.5)^1  = 0.0097

P(answering 10 correct answer)  = ^{10}C_{10}(p)^{10}(q)^0 = ^{10}C_{10}(0.5)^{10}(0.5)^0  = 0.00097

So, the total Probability   = P(8) + P(9) + P(10)

= (0.0439) + (0.0097) + (0.00097)

= 0.05457

Hence, the probability that the student passes the quiz  with  at least 8 of the questions correct is 0.05457.

6 0
4 years ago
(a) Find an approximation to the integral 2 (x2 − 4x) dx 0 using a Riemann sum with right endpoints and n = 8. R8 =
denpristay [2]

Answer:

Step-by-step explanation:

\int\limits^2_0 {(x^2-4x)} \, dx       n=8     f(x) = x² - 4x

convert [0,2] into 8 subintervals

width of each interval is

\delta x =\frac{2-0}{8}=0.25

All subintervals are:

[0, 0.25], [0.25, 0.5], [0.5, 0.75], [0.75, 1], [1, 1.25], [1.25, 1.5], [1.5, 1.75] and [1.75, 2]

Let, x_i be the right end point of each interval i=1,..8

x_1=0.25, x_2=0.5, x_3=0.75, x_4=1, x_5=1.25, x_6=1.5, x_7=1.75, x_8=2

Reiman sum is

R_8=\delta x[f(x_1)+f(x_2)+...f(8)]\\\\0.25[f(0.25)+f(0.5)+...+f(2)]\\\\0.25\times[-23.25]\\=-5.8125

8 0
3 years ago
Order these numbers from least to greatest​
Keith_Richards [23]

Answer:

- 81, 8.54, 8 13/29, 8.6

Step-by-step explanation:

8 0
3 years ago
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