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ladessa [460]
2 years ago
9

a pile of coins, consisting of dimes and quarters only, is worth 4 dollars and 55 cents. there are 7 more dimes than quarters in

the pile. find the number of quarters and dimes.
Mathematics
1 answer:
Lady_Fox [76]2 years ago
7 0

11 quarters and 18 dimes

Hope this helps! :D

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The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0degrees°C at the fr
Sergio039 [100]

Answer:

Step-by-step explanation:

Hello!

The variable of study is X: Temperature measured by a thermometer (ºC)

This variable has a distribution approximately normal with mean μ= 0ºC and standard deviation σ= 1.00ºC

To determine the value of X that separates the bottom 4% of the distribution from the top 96% you have to work using the standard normal distribution:

P(X≤x)= 0.04 ⇒ P(Z≤z)=0.04

First you have to use the Z tables to determine the value of Z that accumulates 0.04 of probability. It is the "bottom" 0.04, this means that the value will be in the left tail of the distribution and will be a negative value.

z= -1.75

Now using the formula of the distribution and the parameters of X you have to transform the Z-value into a value of X

z= (X-μ)/σ

z*σ = X-μ

(z*σ)+μ = X

X= (-1.75-0)/1= -1.75ºC

The value that separates the bottom 4% is -1.75ºC

I hope this helps!

5 0
3 years ago
Ms. Lin’s son likes to lift weights. He was lifting 125 pounds last year. This year he can lift 35 more pounds. How much weight
katrin [286]

Answer:

He can lift 160 pounds

Step-by-step explanation:

125 (from last year) + 35 (more pounds) = 160 (total pounds)

125 + 35 = 160

5 0
3 years ago
What is the square root of 945?
kiruha [24]

Answer:

30.7408522979

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Plz help me I need a answer fast im in class!!!
frosja888 [35]
The answer is 64.

Because:

105-7^2= 49

72/9= 8
 49+8= 57 + 7 ( because 7^2) = 64.

5 0
3 years ago
The polynomial (x - 2) is a factor of the polynomial 3x2 - 8x + 2.
jenyasd209 [6]

First, let's factor  3x²-8x+2

Looking at wee can see that the first term is  and the last term is <span> where the coefficients are 3 and 2 respectively. 

Now multiply the first coefficient 3 and the last coefficient 2 to get 6. Now what two numbers multiply to 6 and add to the middle coefficient -8? Let's list all of the factors of 6: 



Factors of 6: 
1,2,3,6 

-1,-2,-3,-6 ...List the negative factors as well. This will allow us to find all possible combinations 

These factors pair up and multiply to 6 </span>

<span>
1*6 
2*3 
(-1)*(-6) 
(-2)*(-3) 

note: remember two negative numbers multiplied together make a positive number 


Now, which of these pairs add to -8? Lets make a table of all of the pairs of factors we multiplied and see which two numbers add to -8 </span>

<span> <span><span> <span> First Number Second Number   Sum</span> </span> <span> <span> 1                            6                      1+6=7</span> </span> <span> <span> 2                           3                      2+3=5</span> </span> <span> <span> -1                         -6                       -1+(-6)=-7</span> </span> <span> <span> -2                        -3                       -2+(-3)=-5</span> </span> </span></span>


None of these pairs of factors add to -8.

So the expression 3x²-8x+2 cannot be factored.

So (x - 2) is NOT a factor of  3x²-8x+2<span>
So the statement is false</span>

 

5 0
3 years ago
Read 2 more answers
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