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Luda [366]
3 years ago
13

The San Diego Zoo houses 37 sea lions. This is roughly 2% of the total seal lion population in California. How many sea lions ar

e there in California?
Mathematics
1 answer:
NISA [10]3 years ago
3 0

Answer:

1850

Step-by-step explanation:

You would set up a proportion that 2/100 = 37/x. You would cross multiply and get 2x = 3700. You would then divide 3700 by 2 and get 1850.

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Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. Th
Verizon [17]

Answer:

(21.9-19.8) -1.966\sqrt{\frac{3.4^2}{200} +\frac{3.5^2}{200}}= 1.422

(21.9-19.8) -1.966 \sqrt{\frac{3.4^2}{200} +\frac{3.5^2}{200}}= 2.778

And we are 95% confident that the true difference means are between 1.422 \leq \mu_1 -\mu_2 \leq 2.778

Step-by-step explanation:

We know the following info:

\bar X_1 = 21.9 sample mean for group 1

\bar X_2 = 19.8 sample mean for group 2

s_1 = 3.4 sample standard deviation for group 1

s_2 = 3.5 sample standard deviation for group 2

n_1 = 200 sample size group 1

n_2 = 200 sample size group 2

We want to find a confidence interval for the difference of means and the correct formula to do this is:

(\bar X_1 -\bar X_2) \pm t_{\alpha/2} \sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}

Now we just need to find the critical value. The confidence level is 0.95 then the significance is 1-0.95 =0.05 and \alpha/2 =0.025. The degrees of freedom are given by:

df= n_1 +n_2 -2= 200+200-2= 398

The critical value for this case would be :t_{\alpha/2}=1.966  

And replacing into the confidence interval formula we got:

(21.9-19.8) -1.966\sqrt{\frac{3.4^2}{200} +\frac{3.5^2}{200}}= 1.422

(21.9-19.8) -1.966 \sqrt{\frac{3.4^2}{200} +\frac{3.5^2}{200}}= 2.778

And we are 95% confident that the true difference means are between 1.422 \leq \mu_1 -\mu_2 \leq 2.778

5 0
3 years ago
A student takes an exam containing 18 true or false questions. If the student guesses, what is the probability that he will get
V125BC [204]
Use this formula.
and solution is:[(18!)/(6!×(18-6)!)]×(1/2)^6×(1-1/2)^(18-6)≈0.0781604
7.8%

3 0
3 years ago
Find the measure of each side indicated. Round to the nearest tenth. Picture included below.
skad [1K]

Step-by-step explanation:

Use the sine and cosine trig functions

21) cos(52)=13/x

x=13/cos(52)

x=21.1

22) sin(75)=6/x

x=6/sin(75)

x=6.2

4 0
3 years ago
Does anyone know the answer if so please tell me ty!
Nezavi [6.7K]
The bottom 2 i’m pretty sure, sorrry if it’s wrong
5 0
3 years ago
Evaluate 4(a2 + 2b) - 2b when a = 2 and b = –2
amid [387]
First you simply have to substitute 2 in replace of all the a's, and -2 in replace of all of the b's

4((2)2+2(-2))

Then you want to follow the order of operations, PEMDAS (Parantheses-Exponent-Multiplication-Division-Addition-Subtraction), and multiply within the parantheses.

4(4+(-4))

Next you will add within the parantheses (So add the 4 and -4 together)

4(0)

Lastly multiply

0

Your answer is 0

Hope this helps!
5 0
3 years ago
Read 2 more answers
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