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Rufina [12.5K]
3 years ago
14

Which fraction expresses –30/54 in lowest terms?

Mathematics
2 answers:
Crazy boy [7]3 years ago
8 0
Divide the numerator and denominator by 6.

-30 / 6 = -5

54 / 6 = 9

So we have:

-5/9
Akimi4 [234]3 years ago
6 0
<span>D. - </span>\frac{5}{9}
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Please answer it now in two minutes
nata0808 [166]

Answer:

C = 28.9

Step-by-step explanation:

Given the right angled triangle, ∆BCD, you are required to find the measure of angle C.

Apply the trigonometric ratio formula to find m < C.

Adjacent side = 7

Hypotenuse = 8

Trigonometric ratio formula to apply would be:

cos(C) = \frac{7}{8}

cos(C) = 0.875

C = cos^{-1}(0.875)

C = 28.9

(To nearest tenth)

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
HELP ASAP
lora16 [44]
I solved it on a piece of paper. I can not answer why I got the same answer, but I hope my method helped

3 0
2 years ago
4^3 is equivalent to? *
GREYUIT [131]

Answer:

4+4+4

Step-by-step explanation:

4^3 means 4 cubed which is equal to 4 added three time

4 0
3 years ago
6x+18=h(3x+9) what value the constant h in the equation shown below will result in a infinite number of solutions
pav-90 [236]
For there to be an infinite number of solutions, the quantity on the left side of the equation must be the same as on the right.
First, distribute the equation to get 
6x + 18 = 3xh + 9h
If h = 2, the equation on the right would also be 6x + 18 which would yield the same equation and hence an infinite number of solutions
So the answer is h = 2
4 0
3 years ago
Read 2 more answers
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