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zhannawk [14.2K]
3 years ago
11

Find x, y and z.

Mathematics
1 answer:
emmasim [6.3K]3 years ago
8 0

Answer:

<u>The values for x = 56, for y = 28 and z = 64</u>

Step-by-step explanation:

1. Let's review the information given for answering the question correctly:

∠2y° and ∠56°are alternate interior angles

∠x °and ∠2y° are alternate interior angles

<u>2. . Let's find the values of x, y and z.</u>

2y = 56

<u>y = 28</u>

Therefore,

∠x ° = ∠2y°

∠x ° = ∠56°

<u>x = 56 </u>

Let's recall that all the interior angles of a triangle will always add up to 180°, thus:

∠z° = 180 - 60 - 56

∠z° = 180 - 116

<u>∠z° = 64°</u>

<u>z = 64</u>

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Demerol 45mg and atropine 400mcg/ml give how much per ml to total volume to inject demerol contains 50mg/ml, atropine contains 4
OverLord2011 [107]

Answer:

Volume injected  = 1.65 ml

Step-by-step explanation:

mass of Demerol =45 mg.

density of pre-filled in syringe = 50 mg/ml

Volume = 45/50 = 0.9 ml

For atropine mass = 0.3 mg

density= 400 mcg/ml     [ Note : 1 mcg = 0.001 mg]

volume filled  = 0.3/400(0.001) = 0.75 ml

So, the total volume filled = 0.75+0.9 = 1.65 ml

6 0
3 years ago
Suppose that 15% of the fields in a given agricultural area are infested with the sweet potato whitefly. One hundred fields in t
hram777 [196]

Answer:

a.\mu=15

b.\mu=7.8586 \ and  \ \mu=22.1414

c. Choice A- Based on limits above, it is unlikely that we would see x = 45, so it might be possible that the trials are not independent.

Step-by-step explanation:

a.Binomial distribution is defined by the expression

P(X=k)=C_k^n.p^k.(1-p)^{n-k}

Let n be the number of trials,n=100

and p be the probability of success,p=15\%

The mean of a binomial distribution is the probability x sample size.

\mu=np=100\times0.15=15

b.Limits within which p is approximately 95%

sd of a binomial distribution is given as:\sigma=\sqrt npq\\q=1-p

Therefore, \sigma=\sqrt(100\times0.015\times0.85)=3.5707

Use the empirical rule to find the limits. From the rule, approximately 95% of the observations are within to standard deviations from mean.

sd_1=>\mu-2\sigma=15-2\times3.3507=7.8586\\sd_2=>\mu-2\sigma=15+2\times3.3507=22.1414

Hence, approximately 95% of the observations are within 7.8586 and 22.1414 (areas of infestation).

c.  x=45 is not within the limits in b above (7.8586,22.1414). X=45 appears to be a large area of infestation. A.Based on limits above, it is unlikely that we would see x = 45, so it might be possible that the trials are not independent.

4 0
3 years ago
A business rents cars for $100 a day and vans for $200 a day. One day, it rented a total of 22 vehicles
ra1l [238]

Answer:

Vans - 7

Cars - 15

Step-by-step explanation:

$200 * 7 = $1400

$100 * 15 = $1500

$1400 + $1500 = $2900

8 0
2 years ago
PLEASE HELP
TiliK225 [7]
<span>d)\sqrt(300-0.5p)..............................</span>
5 0
3 years ago
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It takes exactly 26 paper clips laid end to end to make 17 7/8 inches. How long is each paper clip? (I really need the explanati
solong [7]

Answer:

11/16 inch or 0.6875 inch

Step-by-step explanation:

26 * x = 17 7/8

17 7/8 = 143/8

143/8 ÷ 26 = 143/8 x 1/26 = 143/208 = 0.6875

0.6875 in = 11/16 in

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Check

11/16 x 26 = 17.875 or 17 7/8

4 0
3 years ago
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