All categories

3 years ago

What is the value of the expression 8 cubed?

Mathematics

2 answers:

Ierofanga [76]3 years ago

5 0

Answer:

512

Step-by-step explanation:

8*8*8

64*8

512

Rufina [12.5K]3 years ago

4 0

Answer:

512

Step-by-step explanation:

Cubed means multiplying the number by itself 3 times

So 8*8*8

64*8= 512

Please mark this as brainliest if it helped :)

You might be interested in

PLEASE help (desperate) :(

mars1129 [50]

Answer:

$4= \sqrt{16} \\1.5 = \sqrt{2.25}\\8 = 6^{2} /9*2\\1 = \frac{12 - 2}{6 + 4}\\5 = \sqrt{16 + 9} \\9 = 63/3^{2} +|2|$

6 0

3 years ago

EXPLAIN A car travelsž mile in

ruslelena [56]

Answer:

Step-by-step explanation:

Your question's not complete. How far did the car travel? Call this distance "d." Then:

d miles 60 min

----------- * ------------ = 12d mph

5 min 1 hour

8 0

3 years ago

Y= -4x + 1 table of values

Gre4nikov [31]

The table of possible values when graphing
X Y
-2 9
-1 5
0 1
1 -3
2 -7
The intercepts x (1/4,0) and y (0,1)

6 0

3 years ago

Simplify the expression:

Lelu [443]

$\cfrac{(12-5)^7}{\left((3+4)^2\right)^2}= \cfrac{7^7}{(7^2)^2} =\cfrac{7^7}{7^4}=7^{7-4}=7^3=343$

5 0

3 years ago

In March 2015, the Public Policy Institute of California (PPIC) surveyed 7525 likely voters living in California. This is the 14

lbvjy [14]

Answer:

We are confident at 99% that the difference between the two proportions is between $0.380 \leq p_{Republicans} -p_{Democrats} \leq 0.420$

Step-by-step explanation:

Part a

Data given and notation

$X_{D}=3266$ represent the number people registered as Democrats

$X_{R}=2137$ represent the number of people registered as Republicans

$n=7525$ sampleselcted

$\hat p_{D}=\frac{3266}{7525}=0.434$ represent the proportion of people registered as Democrats

$\hat p_{R}=\frac{2137}{7525}=0.284$ represent the proportion of people registered as Republicans

The standard error is given by this formula:

$SE=\sqrt{\frac{\hat p_D (1-\hat p_D)}{n_{D}}+\frac{\hat p_R (1-\hat p_R)}{n_{R}}}$

And the standard error estimated given by the problem is 0.008

Part b

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$p_A$ represent the real population proportion of Democrats that approve of the way the California Legislature is handling its job

$\hat p_A =\frac{1894}{3266}=0.580$ represent the estimated proportion of Democrats that approve of the way the California Legislature is handling its job

$n_A=3266$ is the sample size for Democrats

$p_B$ represent the real population proportion of Republicans that approve of the way the California Legislature is handling its job

$\hat p_B =\frac{385}{2137}=0.180$ represent the estimated proportion of Republicans that approve of the way the California Legislature is handling its job

$n_B=2137$ is the sample for Republicans

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

For the 90% confidence interval the value of $\alpha=1-0.90=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.64$

And replacing into the confidence interval formula we got:

$(0.580-0.180) - 1.64 \sqrt{\frac{0.580(1-0.580)}{3266} +\frac{0.180(1-0.180)}{2137}}=0.380$

$(0.580-0.180) + 1.64 \sqrt{\frac{0.580(1-0.580)}{3266} +\frac{0.180(1-0.180)}{2137}}=0.420$

And the 99% confidence interval would be given (0.380;0.420).

We are confident at 99% that the difference between the two proportions is between $0.380 \leq p_{Republicans} -p_{Democrats} \leq 0.420$

5 0

3 years ago