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strojnjashka [21]
3 years ago
10

A zoo has 15 Emperor penguins. The Emperor make up30% of all the penguins at the zoo. How many penguins live at the zoo?

Mathematics
1 answer:
Mariana [72]3 years ago
8 0

Answer:

50 PENGUINS

Step-by-step explanation:

15÷3

= 5×7

=35 other penfuins

35+15=50

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A survey of 76 commercial airline flights of under 2 hours resulted in a sample average late time for a flight of 2.55 minutes.
nika2105 [10]

Answer:

The best point of estimate for the true mean is:

\hat \mu = \bar X = 2.55

2.55-1.96\frac{12}{\sqrt{76}}=-0.148    

2.55+1.96\frac{12}{\sqrt{76}}=5.248    

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

Step-by-step explanation:

Information given

\bar X=2.55 represent the sample mean for the late time for a flight

\mu population mean

\sigma=12 represent the population deviation

n=76 represent the sample size  

Confidence interval

The best point of estimate for the true mean is:

\hat \mu = \bar X = 2.55

The confidence interval for the true mean is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The Confidence level given is 0.95 or 95%, th significance would be \alpha=0.05 and \alpha/2 =0.025. If we look in the normal distribution a quantile that accumulates 0.025 of the area on each tail we got z_{\alpha/2}=1.96

Replacing we got:

2.55-1.96\frac{12}{\sqrt{76}}=-0.148    

2.55+1.96\frac{12}{\sqrt{76}}=5.248    

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

7 0
3 years ago
Help I need it asap
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Answer:

for no 7 its none for 8 its st

Step-by-step explanation:

I hope this helps

8 0
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phenytoin comes from the pharmacy as an IV solution of 1000mg/250ml. a loading dose of 700 mg has been ordered. how many millime
Vedmedyk [2.9K]

We can write the following proportion between the milligram and milliliters:

1000\div 250 = 700\div x

Solving for x, we have

x=\dfrac{250\cdot 700}{1000}=175

Intuitively, the original 1000mg/250ml solution tells us that the number of milliliters is one fourth of the number of milligrams.

So, if we want 700mg, we have one fourth of this value for the milliliters:

\dfrac{700}{4}=175

6 0
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