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Zina [86]
3 years ago
14

The graph represents the normal distribution of recorded weights, in pounds, of cats at a veterinary clinic.

Mathematics
2 answers:
diamong [38]3 years ago
3 0

Answer:

<em>B)</em><em> 8.9 lbs </em>

<em>C)</em><em> 9.5 lbs </em>

<em>D)</em><em> 9.8 lbs </em>

<em>E)</em><em> 10.4 lbs</em>

Step-by-step explanation:

From the graph, 9.5 is the mean of the sample and 0.5 is the standard deviation of the sample.

As we have to find the weights that lie within the 2 standard deviations of the mean i.e

=9.5\pm 2(0.5)

=8.5,10.5

Among the given weights only 8.9 lbs, 9.5 lbs, 9.8 lbs, 10.4 lbs will lie within 2 standard deviations of the mean.


anyanavicka [17]3 years ago
3 0

Answer:

B

C

D

E

Step-by-step explanation:

8.9

9.5

9.8

10.4

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Admission to the zoo is $6 for children and $9 for adults. On a certain day, 1480 people go to the zoo and $10,500 is collected.
erik [133]
<span>6x+9y = 10500
x+y = 1480
 
Using elimination I get: 6x + 9y = 10500 -6x-6y = -8880
Add the 2 equations and I get 3y = 1620
Divide both sides by 3 and I get y = 540
 Substitute that back in to 6x+9y = 10500.
 I get that 6x+9*540 = 10500 9 * 540 = 4860
 Subtract 4860 from both sides and I get 6x = 5640
 Divide both sides by 6 and I get x = 940
 So there must have be 940 children and 540 adults</span>
6 0
4 years ago
The ability of lizards to recognize their predators via tongue flicks can often mean life or death for lizards. Seventeen juveni
Sloan [31]

Answer:

Confidence level is (380.7133, 533.2867)

Step-by-step explanation:

Responses in number of tongue flicks per 20 minutes of lizards, are: 727,217, 268, 438, 625, 319, 200, 591, 574, 727, 693, 336, 302, 761, 268, 353, 370

n = 17

Mean (μ) is:

\mu=\frac{{\Sigma}x}{n} = \frac{727+217+ 268+ 438+ 625+ 319+ 200+ 591+ 574+ 727+ 693+ 336+ 302+ 761+ 268+ 353+ 370}{17} = 439.3529

Standard deviation (σ) is:

\sigma=\sqrt{\frac{\Sigma(x-\mu^2)}{n} } =\sqrt{\frac{(727-457)^2+(217-457)^2+...+(370-457)^2}{17} } =191.2

The confidence interval (c) = 90% = 0.9

\alpha=1-0.9=0.1\\\frac{\alpha }{2} = 0.05\\Z_{\frac{\alpha }{2} }=1.64

Margin of error (e) = =Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} }=1.64*\frac{191.2}{\sqrt{17} }=76.2867

Confidence level = μ ± e = 457 ± 76.2867 = (380.7133, 533.2867)

8 0
4 years ago
Pls help pls pls help help me solve this problem
user100 [1]

Answer:

A

Step-by-step explanation:

1st step add 3.6 on both sides

-0.8≥1.6x

2nd step divide 1.6 on both sides

then you would get

x≥-0.5

Your answer would be.....

A.

Hope this helps!!

Have a good day!!

8 0
3 years ago
An equation is given.<br><br> 7x+2=5x+8 <br><br> What value of x makes the equation true?
vovangra [49]
To make the equation true, the value of x would be 3.
7 0
3 years ago
Subtract. Simplify, if possible.<br> 5/8<br> -<br> * 2 1 / 2 - 3
Nat2105 [25]

2\frac{1}{2} - \frac{5}{8}

Convert the mixed number to an improper fraction:

\frac{5}{2} - \frac{5}{8}

Subtract the fractions to get your final answer:

\frac{15}{8}

8 0
3 years ago
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