What is the value of x to the nearest tenth?<br> A)7.2<br> B)9.2<br> C)4.8<br> D)12.0

Emily completely fills a container with 6 cubes. Each cube has an edge length of

andrezito [222]

If Emily has 6 cubes of 3 x 3 x 3, or 27 cubic cms. each, and these completely fill the prism, then the prism must be:
27 x 6, or 162 cms.^3 total volume. ☺☺☺☺

5 0

2 years ago

Find the simplest pattern and insert the missing term(s) of each sequence. 4, 7, 12, 21, 38, ___

Arte-miy333 [17]

Answer:

71

Step-by-step explanation:

4, 7, 12, 21, 38, ...

2+2=2¹+2
4+3= 2²+3
8+4= 2³+4
16+5= 2⁴+5
32+6= 2⁵+6

next term:

2⁶+7= 64+7=71

nth term:

2ⁿ+(n+1)

7 0

2 years ago

4 x ? is close to 105

Serga [27]

Do you have a picture to your problem ?

6 0

3 years ago

Read 2 more answers

If the distribution is really N ( 5.43 , 0.54 ) , N(5.43,0.54), what proportion of observations would be less than 5.05 ? 5.05?

Ipatiy [6.2K]

Answer:

$P(X$

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

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

$X \sim N(5.43,0.54)$

Where $\mu=5.43$ and $\sigma=0.54$

We are interested on this probability

$P(X$

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:

$P(X$

And we can find this probability on this way:

$P(Z$

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

6 0

3 years ago

Caroline puts $400 into a savings account that earns 6% annually. Write a function that represents this situation, where t is th

DaniilM [7]

Answer: 19 years

Step-by-step explanation:

Given

Amount invested $\$400$

Rate of interest $R=6\%$

after 1-year amount becomes

$A=400\left (1+6\%\right)\\A=400\left (1+0.06\right)\\A=400\times 1.06\\A=\$424$

After n years it is

$A=400\left (1.06\right)^n$

Sum accumulated is $\$1200$

$\Rightarrow 1200=400\left(1.06\right)^n\\\Rightarrow 3=\left(1.06\right)^n\\\text{Taking log both sides}\\\Rightarrow n=\dfrac{\ln 3}{\ln 1.06}\\\\\Rightarrow n=18.85\approx 19\ \text{years}$

5 0

3 years ago

What is the value of x to the nearest tenth? A)7.2 B)9.2 C)4.8 D)12.0