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Lelu [443]
3 years ago
6

Factor 9abc+3ac+12bc completely

Mathematics
1 answer:
m_a_m_a [10]3 years ago
7 0

Answer:

3c(3(b+1)a+4b)

Step-by-step explanation:

The given equation is:

9abc+3ac+12bc

Taking 3c common from all the above terms, we get

⇒3c(3ab+a+4b)

⇒3c(3(b+1)a+4b)

which is the required factorised form.

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How may permutations of the word “spell” are there?
xeze [42]
See, to make a 5-letter word , 5 places are to be filled ___ ___ ___ ___ ___ 1st 2nd 3rd 4th 5th the first place can be filled in 5 ways (s,p,e,l,l) 2nd place in 4 ways. 3rd place in 3 ways. 4th place in 2 ways. 5th place in 1 way. now , ther are 2L's. hence total no. of words that can be formed=(5*4*3*2*1) / 2*1
4 0
3 years ago
Read 2 more answers
Calculate the speed in km/hour of a car that travels 24 km in 120 minutes
bonufazy [111]

Answer:

12

Step-by-step explanation:

120 minutes is 2 hours so you just divide 24 by 2 :)

8 0
3 years ago
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The Cunninghams are moving across the country. Mr. Cunningham leaves 3 hours before Mrs. Cunningham. If he averages 40mph and sh
svp [43]
Recall your d = rt, distance = rate * time

now, if say, by the time they meet, Mr Cunningham has travelled "d" miles, that means Mrs Cunningham must also had travelled "d" miles as well.

However, he left 3 hours earlier, so by the time he travelled "d" miles, and took say "t" hours, for her it took 3 hour less, because she started driving 3 hours later, so, she's been on the road 3 hours less than Mr Cunningham, so by the time they meet, Mrs Cunningham has travelled then "t - 3" hours.

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{Mr Cunningham}&d&40&t\\
\textit{Mrs Cunningham}&d&80&t-3
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=40t\\
d=80(t-3)\\
----------\\
\boxed{40t}=80(t-3)
\end{cases}
\\\\\\
\cfrac{40t}{80}=t-3\implies \cfrac{t}{2}=t-3\implies t=2t-6\implies 6=2t-t
\\\\\\
6=t
5 0
3 years ago
A coffee company wants to make sure that their coffee is being served at the right temperature. If it is too hot, the customers
Cerrena [4.2K]

Answer:

Null hypothesis:\mu = 65  

Alternative hypothesis:\mu \neq 65

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

For this case the value of \mu represent the parameter associated to the population (True average of cofee temperature)

Step-by-step explanation:

Data given and notation  

\bar X=70.2 represent the mean height for the sample  

s represent the sample standard deviation for the sample  

n=20 sample size  

\mu_o =765 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean i equal to 70.2, the system of hypothesis would be:  

Null hypothesis:\mu = 65  

Alternative hypothesis:\mu \neq 65  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

For this case the value of \mu represent the parameter associated to the population (True average of cofee temperature)

3 0
3 years ago
Solve 2 (x + 4) - 10 = 14 step by step
Blababa [14]

Answer:

x=8

Step-by-step explanation:

2(x+4) - 10 =14

distribute the 2       2x +8 -10 +14

simplify                     2x-2=14

add 2                        2x=16

devide by 2               x=8

3 0
3 years ago
Read 2 more answers
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