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3 years ago

WILL MARK BRAINLIEST IF CORRECT!

Mathematics

2 answers:

ziro4ka [17]3 years ago

8 0

Answer:

Answer → Student A was right.

${ \tt{ \sqrt[3]{1944} = \sqrt[3]{(72 \times 27)} }} \\ \\ = { \tt{ \sqrt[3]{72} \times \sqrt[3]{27} }} \\ \\ = { \tt{ \sqrt[3]{72} \times 3}} \\ \\ = { \underline{ \tt{ \: 3 \sqrt[3]{72} } \: }}$

Mnenie [13.5K]3 years ago

5 0

Answer:

Yes she was correct

Step-by-step explanation:

You might be interested in

The lifetime of a certain type of TV tube has a normal distribution with a mean of 61 and a standard deviation of 6 months. What

Ad libitum [116K]

Answer:

$P(57$

$P(-0.67$

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 lifetime for a TV of a population, and for this case we know the distribution for X is given by:

$X \sim N(61,6)$

Where $\mu=61$ and $\sigma=6$

We are interested on this probability

$P(57$

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:

$P(57$

And we can find this probability like this:

$P(-0.67$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-0.67$

6 0

3 years ago

15-x=37 what is the value of x

Sergeu [11.5K]

Solve for x by simplifying both sides of the equation, then isolating the variable.

x = -22

8 0

3 years ago

Read 2 more answers

Use benchmarks to estimate 2.81+3.73

love history [14]

The benchmarks are: 0, 0.25, 0.50, 0.75 and 1.
2. 81 → 2.75
+
3.73 → 3.75
------------
2.75 + 3.75 = 6.50

5 0

3 years ago

The area of the triangle below is ? Sq. Units A. 66 B . 33 C . 50 D . 25

kykrilka [37]

Answer:

The answer is B.

Step-by-step explanation:

You have to apply the area of triangle formula :

$area = \frac{1}{2} \times base \times height$

$let \: base = 22 \\ let \: height = 3$

$area = \frac{1}{2} \times 22 \times 3$

$area = 11 \times 3$

$area = 33 \: {units}^{2}$

6 0

3 years ago

Read 2 more answers

Find the average value of f over region

SVETLANKA909090 [29]

$D$ is a right triangle with base length 1 and height 8, so the area of $D$ is $\dfrac12(1)(8)=4$ .

The average value of $f(x,y)$ over $D$ is given by the ratio

$\dfrac{\displaystyle\iint_Df(x,y)\,\mathrm dA}{\displaystyle\iint_D\mathrm dA}$

The denominator is just the area of $D$ , which we already know. The average value is then simplified to

$\displaystyle\frac74\iint_Dxy\,\mathrm dA$

In the $x,y$ -plane, we can describe the region $D$ as all points $(x,y)$ that lie between the lines $y=0$ and $y=8x$ (the lines which coincide with the triangle's base and hypotenuse, respectively), taking $0\le x\le1$ . So, the integral is given by, and evaluates to,

$\displaystyle\frac74\int_{x=0}^{x=1}\int_{y=0}^{y=8x}xy\,\mathrm dy\,\mathrm dx=\frac78\int_{x=0}^{x=1}xy^2\bigg|_{y=0}^{y=8x}\,\mathrm dx$
$=\displaystyle56\int_{x=0}^{x=1}x^3\,\mathrm dx$
$=14x^4\bigg|_{x=0}^{x=1}$
$=14$

3 0

3 years ago