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den301095 [7]
3 years ago
6

the sum of 3 consecutive integers is 42.let x be the middle of the three integers. transcribe the statement accordingly

Mathematics
1 answer:
patriot [66]3 years ago
5 0
(x-1) + x + (x+1) = 42
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Two ships leave the same port in different directions, forming a 120° angle between them. One ship travels 70 mi. and the other
kondaur [170]

Answer : Distance between the ships to the nearest miles = 106.03 ≈ 106 mi.

Explanation :

Since we have shown in the figure below :

a=70 mi.

b=52 mi.

c=x mi.

\text{Since two ships leaves the same port in different directions forming a }120\textdegree\text{angle between them.}

So, we use the cosine rule , which states that

 c^2=a^2+b^2-2ab.cosC\\\\x^2=70^2+52^2-2\times 70\times 52\times cos(120\textdegree)\\\\x^2=4900+2704-7280\times (-0.5)\\\\x^2=7604+3640\\\\x^2=11244\\\\x=\sqrt{11244}\\\\x=106.03

So, c = x= 106.03 mi.

Hence, distance between the ships to the nearest miles = 106.03 ≈ 106 mi.


8 0
3 years ago
Find the difference. 4ab2 − 3ab2
snow_lady [41]
<span>4ab^2 − 3ab^2 = ab^2
combine like terms

help it helps</span>
5 0
3 years ago
Psychologists in Montreal and Toronto conducted a study to determine if babies show any preference for speech over general noise
Lostsunrise [7]

Answer:

H0 : μ1 - μ2 = 0

H1: : μ1 - μ2 ≠ 0

we reject the Null and we conclude that babies prefer actual speaking to humming.

Step-by-step explanation:

H0 : μ1 - μ2 = 0

H1: : μ1 - μ2 ≠ 0

Mean difference, d = 27.79

Standard deviation of difference, Sd = 63.18

Sample size, n = 50

The test statistic :

d / (Sd / √n)

Test statistic :

27.79 / (63.18 / √50)

27.79 / 8.9350012

= 3.11

Using the Test statistic score, we can obtain the Pvalue

Using the standard normal table ;

Pvalue = P(x<-Z or x>Z) = 0.0018709

Pvalue is very low

Pvalue < α ; Hence, we reject the Null and we conclude that babies prefer actual speaking to humming.

8 0
3 years ago
Need math help!!!!!!!!!!!!!!!!!!!!!!!!!
frutty [35]
Well we need to follow PEMDAS.  Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.  The "X" is in the Exponents place.  Therefore we would take 10 X 5.5 first.  Which equals 55.  Then you have to take it times 1.  So the answer to the first one is 55.   Then with the next one, you do the same steps, except at the end, your exponent is 2.  So you would take 55 times 55 and get 3,025.  So the answer to your second one is 3,025.  Hope this is correct and hope this helps!

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5 0
2 years ago
The product of 20 any y (Pls i need help in this)
steposvetlana [31]

Answer:

<h3 />

Step-by-step explanation:

20y

Meaning 20xy

Y=1

So 20 is 20

7 0
2 years ago
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