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Stolb23 [73]
3 years ago
15

Factor 24 p + 64 Find "m" m+8=22

Mathematics
1 answer:
rusak2 [61]3 years ago
5 0
24=8\cdot3;\ 64=8\cdot8\\\\24p+64=8\cdot3p+8\cdot8=\boxed{8(3p+8)}\\========================\\m+8=22\ \ \ |subtract\ 8\ from\ both\ sides\\\\m+8-8=22-8\\\\\boxed{m=14}
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A boat travels 60 miles downstream in the same time it takes to go 36 miles upstream the speed of the boat in Stillwater is 15 m
Dafna1 [17]

Answer:

5 mph

Step-by-step explanation:

c+15+c=2c+15 mph going down stream.

2.4(2c+15)=60

4.8c+36=60

4.8c=24

4 0
3 years ago
Find the least common denominator 1/8 17/18 1/16 9/14
Alexeev081 [22]
<span>factors of 18 = (2)(3)(3) 
factors of 16 = (2)(2)(2)(2) 
factors of 14 = (2)(7) 
least common denominator = (2)(2)(2)(3)(3)(2)(7) = 16*9*7 = 1008 </span><span>

</span>
3 0
3 years ago
g red bell pepper seeds germinates 85% of the time. planted 25 seeds. What is the probability that 20 or more germinate
bixtya [17]

Answer:

P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)

And replacing using the mass function we got:

P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156  

P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211  

P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217  

P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161  

P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759  

P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172  

And adding the values we got:

P(X\geq 20) = 0.8381

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=25, p=0.85)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

We want to find the following probability:

P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)

And replacing using the mass function we got:

P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156  

P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211  

P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217  

P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161  

P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759  

P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172  

And adding the values we got:

P(X\geq 20) = 0.8381

7 0
3 years ago
6p-10c-8 when p=6 and c=8
ELEN [110]
The answer is 36 in simplist form
5 0
3 years ago
A test for marijuana usage was tried on 200200 subjects who did not use marijuana. the test result was wrong 77 times.
Alexxandr [17]
400,246 ( 200,200-77=200,123 divide by .5= 400,246
5 0
3 years ago
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