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shutvik [7]
3 years ago
5

Which expression is equivalent to 16 + 2 * 36?

Mathematics
1 answer:
olga2289 [7]3 years ago
8 0

Answer:    F  2^4+2^3 .3^2

Step-by-step explanation:

16+2*36

2^4+72

2^4+2^3 .3^2

here 2^3=8

    and 3^2=9

so 8*9=72

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Tan (-3pi/2) what is the value
Andreas93 [3]
<span>tan<span>(<span><span><span>(<span>−3</span>)</span><span>(3.141593)</span></span>2</span>)</span></span><span>=<span>tan<span>(<span><span>−9.424778</span>2</span>)</span></span></span><span>=<span>tan<span>(<span>−4.712389</span>)</span></span></span><span>=<span>−<span>5443746451065123</span></span></span>
5 0
3 years ago
You are interested in estimating the the mean weight of the local adult population of female white-tailed deer (doe). From past
alisha [4.7K]

Answer:

n=(\frac{2.33(19)}{7})^2 =39.996 \approx 40

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".

\bar X represent the sample mean  

\mu population mean

\sigma=19 represent the assumed population standard deviation

n represent the sample size (variable of interest)  

Confidence =0.98 or 98%

Me=0.07 represent the margin of error for this case

Solution to the problem

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}  (1)  

And on this case we have that ME =7 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (2)

The critical value for 98% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.01,0,1)", and we got z_{\alpha/2}=2.33, replacing into formula (2) we got:

n=(\frac{2.33(19)}{7})^2 =39.996 \approx 40

So the answer for this case would be n=40 rounded up to the nearest integer

6 0
3 years ago
Please! Quick, how may days are in between 12/1/16 and 7/20/20???
lozanna [386]
1,327 days are in between 12/1/16 and 7/20/20
8 0
3 years ago
Read 2 more answers
Suppose a tank contains 400 gallons of salt water. If pure water flows into the tank at the rate of 7 gallons per minute and the
Strike441 [17]

Answer:

Step-by-step explanation:

This is a differential equation problem most easily solved with an exponential decay equation of the form

y=Ce^{kt}. We know that the initial amount of salt in the tank is 28 pounds, so

C = 28. Now we just need to find k.

The concentration of salt changes as the pure water flows in and the salt water flows out. So the change in concentration, where y is the concentration of salt in the tank, is \frac{dy}{dt}. Thus, the change in the concentration of salt is found in

\frac{dy}{dt}= inflow of salt - outflow of salt

Pure water, what is flowing into the tank, has no salt in it at all; and since we don't know how much salt is leaving (our unknown, basically), the outflow at 3 gal/min is 3 times the amount of salt leaving out of the 400 gallons of salt water at time t:

3(\frac{y}{400})

Therefore,

\frac{dy}{dt}=0-3(\frac{y}{400}) or just

\frac{dy}{dt}=-\frac{3y}{400} and in terms of time,

-\frac{3t}{400}

Thus, our equation is

y=28e^{-\frac{3t}{400} and filling in 16 for the number of minutes in t:

y = 24.834 pounds of salt

6 0
3 years ago
Three cyclists simultaneously start racing on a circular track at 7 am. It takes them 10 minutes, 25 minutes and 15 minutes resp
slega [8]

Answer:

9:30 am

Step-by-step explanation:

factors of 10;  5 and 2

factors of 15; 5 and 3

factors of 25; 5 and 5

calculate lcm so, 5x5x3x2 =150

150 mins = 2hr 30mins

7am+2hr30min = 9:30 am

6 0
3 years ago
Read 2 more answers
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