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Galina-37 [17]
3 years ago
5

Ronald spent $137.35 on school clothes. He counted his money and discovered that he had $37.65 left. How much money did he origi

nally have? Enter an equation, using m as your variable, to find how much money he originally had. Then solve the equation.
Mathematics
2 answers:
Nimfa-mama [501]3 years ago
8 0

Answer:

$175.00

Step-by-step explanation:

...........................................

babunello [35]3 years ago
5 0

Answer:

175.00

Step-by-step explanation:

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The mean number of words per minute (WPM) typed by a speed typist is 149149 with a standard deviation of 1414 WPM. What is the p
Semmy [17]

Answer:

The probability is  P(\=  X  >  x ) = 0.78814

Step-by-step explanation:

From the question we are given that

     The population  mean is  \mu  =  149

     The standard deviation is  \sigma  =  14

     The random number    x  =  147.81

      The sample  size is  n  = 88

The probability that  the sample mean would be greater than P(\=  X  >  x ) =  P( \frac{ \= x   -  \mu   }{\sigma_{\= x} }  > \frac{ x - \mu  }{\sigma_{\= x} }  )

Generally the z- score of this normal distribution is mathematically represented as

       Z  =  \frac{ \=  x   -  \mu  }{\sigma_{\= x} }

Now

        \sigma_{\= x } =  \frac{\sigma }{\sqrt{n} }

substituting values

         \sigma_{\= x } =  \frac{14 }{\sqrt{88} }

         \sigma_{\= x } =  1.492

Which implies that

         P(\=  X  >  x ) =  P( Z  > \frac{ 147.81  - 149   }{ 1.492}  )

        P(\=  X  >  x ) =  P( Z  > -0.80  )

Now from the z-table  the  probability is  found to be

        P(\=  X  >  x ) = 0.78814

5 0
3 years ago
The following set of points belong to a specific function: {(-3,15)(-2,17), (-1,11), (0,3),(1,-1), (2,5),(3,27)} Based on the se
adelina 88 [10]

Answer:

(a)Degree 3

(b)f(x)=x^3+2x^2-7x+3 .

Step-by-step explanation:

The function represented by the set of points: {(-3,15)(-2,17), (-1,11), (0,3),(1,-1), (2,5),(3,27)} has 2 turning points when plotted on a graph.

(a)Now, we know that the maximum number of turning points of a polynomial function is always one less than the degree of the function.

Therefore, the polynomial has a degree of 3

(b)A cubic function is one in the form f(x)=ax^3+bx^2+cx+d . where d is the y-intercept.

From the set of values, the y-intercept, d=3

Therefore, our polynomial is of the form:

f(x)=ax^3+bx^2+cx+3 .

\text{At } (-3,15), 15=a(-3)^3+b(-3)^2+c(-3)+3 \implies -27a+9b-3c=12\\\text{At } (-2,17), 17=a(-2)^3+b(-2)^2+c(-2)+3 \implies -8a+4b-2c=14\\\text{At } (-1,11), 11=a(-1)^3+b(-1)^2+c(-1)+3 \implies -a+b-c=8

Solving the three resulting equations simultaneously use a calculator), we obtain:

a=1, b=2, c=-7

Therefore, an equation of this function is:

f(x)=x^3+2x^2-7x+3 .

7 0
3 years ago
James and Sarah went out to lunch. The price of the lunch for both of them was $20. They tipped their server 20% of that amount.
Marizza181 [45]
You would take 20 × .2 and then take that awnser and add it to 20 dollars, then ÷that awnser by 2 and you will get your final amount. ( awnser: $12.00 )
7 0
3 years ago
Read 2 more answers
Need help ASAP ?!!!!
natulia [17]

So remember that the area of a circle is A = π * r^2, with r = radius. In this case, the radius is 1.5, and with that info our equation is A = π * 1.5^2 .


For this, all you need to do is solve the exponents, and your answer is A = 2.25π yds^2

8 0
4 years ago
What are the solutions of the equation x6 + 6x3 + 5 = 0? Use factoring to solve.
Sergeu [11.5K]

Solution:

we have been asked to find the solution of the equation

x^6 + 6x^3 + 5 = 0

It can be solved using factoring as below:

x^6 + 6x^3 + 5 = 0\\\\substitute, x^3=y\\\\y^2+6y+5=0\\\\y^2+5y+y+5=0\\\\y(y+5)+1(y+5)=0\\\\(y+5)(y+1)=0\\\\y=-1,-5\\\\\text{substitute back }y=x^3\\\\x^3=-1,-5\\\\x=-1,\sqrt[3]{-5} \\\\\text{These are the only real solutions}\\

8 0
4 years ago
Read 2 more answers
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