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3 years ago

10

Ava bought a rectangular rug for her hallway. The rug is 2\3 yards wide and 2 3\4 yards long. What is the area of the rug as a m

ixed number in simplest form?

1 answer:

riadik2000 [5.3K]3 years ago

6 0

2/3 * 2 3/4 = 1.83 That translated into fraction form is 1 5/6

You might be interested in

It is important that face masks used by firefighters be able to withstand high temperatures because firefighters commonly work i

Salsk061 [2.6K]

Answer:

$(-\infty, 0.2661)$

Step-by-step explanation:

Previous concepts

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".

The population proportion have the following distribution

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

n=60 represent the sample size

X=12 represent the number of masks that had lenses pop out at 250°

$\hat p =\frac{12}{60}=0.2$ represent the estimated proportion of masks that had lenses pop out at 250°

p represent the population proportion of masks that had lenses pop out at 250°

Confidence =0.9 or 90%

$\alpha=0.1$ represent the significance level

Confidence interval

On this case we want a interval on this form : $(-\infty,\hat p +z_{\alpha}\sqrt{\frac{\hat p (1-\hat p)}{n}})$

So the critical value would be on this case $z_{\alpha}=1.28$ and we can use the following excel code to find it: "=NORM.INV(1-0.1,0,1)"

We found the lower limit like this:

$0.2 +1.28\sqrt{\frac{0.2 (1-0.2)}{60}}=0.2661$

And the interval would be: $(-\infyt, 0.2661)$

3 0

4 years ago

I need help. I haven't slept for 34 hours and i still got so much work to do. Should I just grind my work today and then get a g

victus00 [196]

Answer:

Get a good night's sleep!!!

It is SO important to sleep even if you have work. Sleep first, but make sure that you have a bit of time to work on whatever you need to do. But sleep first.

8 0

3 years ago

Find the velocity v(t)v(t) and speed ∥v(t)∥∥v(t)∥ of a particle whose motion is described by x=6t3−9t2,y=3,z=2t2−4t+2

Nesterboy [21]

Let $\mathbf p(t)=(x(t),y(t),z(t))$ denote the particle's position. Then its velocity is given by

$\mathbf v(t)=\dfrac{\mathrm d\mathbf p}{\mathrm dt}=(x'(t),y'(t),z'(t))$
$\mathbf v(t)=(18t^2-18t,0,4t-4)$

The speed is then given by the absolute value/magnitude/norm of the velocity function,

$\|\mathbf v(t)\|=\sqrt{(18t^2-18t)^2+(4t-4)^2}$

7 0

3 years ago

Given f(x) = –2 – 1, find f(5).

sveta [45]

-2 - 1 = -3
The answer is -3.

3 0

3 years ago

Perform the indicated operations. Write the answer in standard form, a+bi.<br> -4 + 4i / -3-6i

vesna_86 [32]

Answer:

$\frac{ - 4 + 4i}{ - 3 - 6i} \\ \frac{ - 4 + 4i}{ - 3 - 6i} \times \frac{ - 3 + 6i}{ - 3 + 6i} \\ = \frac{12 - 24i - 12i + 24 {i}^{2} }{ {( - 3)}^{2} - {(6i)}^{2} } \\ = \frac{ - 12 - 36i}{45} \\ = \frac{ - 12}{45} \frac{ - 36i}{45} \\ than \: you$

5 0

3 years ago