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4 years ago

Evaluate 641000‾‾‾‾√3 .

2 answers:

6 0

Hello, sorry this is a bit late!

The correct answer to your question would be $\frac{4}{10}$ , or the last option.

I just took this test and can 100% confirm this is the correct answer.

Hope this helps, and have a great day! :)

wolverine [178]4 years ago

6 0

Answer:

D. $\frac{4}{10}$

Step-by-step explanation:

We have been given an expression $\sqrt[3]{\frac{64}{1000}}$ . We are asked to evaluate our given expression.

Upon rewriting 64 and 1000 as cubes we will get:

$64=4^3$

$1000=10^3$

Upon substituting these values in our given expression, we will get,

$\sqrt[3]{\frac{4^3}{10^3}}$

$\sqrt[3]{(\frac{4}{10})^3}$

Using property $\sqrt[n]{a^m}=a^{\frac{m}{n}$ we will get,

$(\frac{4}{10})^{\frac{3}{3}$

$(\frac{4}{10})^1$

$\frac{4}{10}$

Therefore, option D is the correct choice.

You might be interested in

Which is equivalent to a + (-a)? A. 2a B. – 2a C. 1 D. -1 E. 0

Darya [45]

Answer:

Step-by-step explanation:

Simplify the following:

a - a

Hint: | Look for the difference of two identical terms.

a - a = 0:

Answer: 0

8 0

3 years ago

An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck are defe

Hatshy [7]

Answer:

0.148 = 14.8% probability that they will need to order at least one more new transmission

Step-by-step explanation:

For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

20% of all the transmissions it installed in a particular style of truck are defective after a year of use.

This means that $p = 0.2$

Sold seven trucks:

This means that $n = 7$

It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?

This is the probability that at least 3 are defective, that is:

$P(X \geq 3) = 1 - P(X < 3)$

In which

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{7,0}.(0.2)^{0}.(0.8)^{7} = 0.2097$

$P(X = 1) = C_{7,1}.(0.2)^{1}.(0.8)^{6} = 0.3670$

$P(X = 2) = C_{7,2}.(0.2)^{2}.(0.8)^{5} = 0.2753$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2097 + 0.3670 + 0.2753 = 0.852$

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.852 = 0.148$

0.148 = 14.8% probability that they will need to order at least one more new transmission

6 0

3 years ago

Which of the following is a root of the polynomial shown below? f(x)=x^3-x^2-9x+9

maxonik [38]

Answer:

-3 is the best answer i hope it helps

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The coordinates of the turning point of the parabola whose equation is y = x2 — 6x + 8 are A. (3, 35) C. (-3, 35) B. (-3, —1) D.

quester [9]

Answer:

D. (3. —1)

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

$f(x) = ax^{2} + bx + c$

It's vertex is the point $(x_{v}, y_{v})$

In which

$x_{v} = -\frac{b}{2a}$

$y_{v} = -\frac{\Delta}{4a}$

Where

$\Delta = b^2-4ac$

If a<0, the vertex is a maximum point, that is, the maximum value happens at $x_{v}$ , and it's value is $y_{v}$ .

Turning point of a quadratic function:

The turning point of a quadratic function is the vertex.

y = x2 — 6x + 8

This means that $a = 1, b = -6, c = 8$

Now, we find the vertex.

$x_{v} = -\frac{b}{2a} = -\frac{-6}{2(1)} = 3$

$\Delta = b^2-4ac = (-6)^2-4(1)(8) = 36 - 32 = 4$

$y_{v} = -\frac{4}{4(-1)} = -1$

(x,y) = (3,-1), and the correct answer is given by option D.

6 0

3 years ago

What the y intercept

Sever21 [200]

Answer:

No y intercept! It's a vertical line. x= -1 though. (I think)

Step-by-step explanation:

7 0

3 years ago