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balandron [24]
3 years ago
12

Consider the following system of equations. {-10x^2 - 10y^2 = -300 and 5x^2 + 5y^2 = 150 Which statement describes why the syste

m has infinite solutions?
A. The equations represent parabolas that result in graphs that do not intersect.
C. The equations represent parabolas that result in the same graph.
D. The equations represent circles that result in the same graph.
Mathematics
2 answers:
shusha [124]3 years ago
8 0
Answer: D. The equations represent circles that result in the same graphs.

When two equations result in one graph, it means they will have infinite solutions. Solutions are what do you call the points of intersection of two equations being graph together. In the problem, these two equations are equations of a circle with a radius of 12.25.

-10x^2 - 10y^2 = -300 simplified.. will be, 5x^2 + 5y^2 = 150 which is the same with the next equation.
pychu [463]3 years ago
6 0

Answer:

D

Step-by-step explanation:

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Vera_Pavlovna [14]

We have an exponential with a fractional base and a positive exponent, and a positive sign at front. Each time we multiply a fraction between zero and one by itself it gets smaller.  So as x increases we'll go to zero.   As x decreases it goes to positive infinity, as negative powers are the reciprocals of positive power.

The left end approaches positive infinity and the right end approaches zero.

6 0
3 years ago
In a standard normal distribution, about _________% of the scores fall above a z-score of 3.00
Katarina [22]

The normal rule to remember is 68-95-99.7, i.e. plus or minus three sigma corresponds to 99.7% of the probability. That leaves 0.3% in the two tails, or 0.15% in the tail above 3 sigma.

Answer: 0.15%


7 0
2 years ago
The time needed for all college students to complete a certain paper-and-pencil maze follows a normal distribution with a popula
oee [108]

Answer:

The correct option is a

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu = 30\ seconds

    The standard deviation is  \sigma = 3 \ seconds

     The sample size is  n  = 9

    The null hypothesis is H_o: \mu  = 30

     The alternative hypothesis is  H_a  :  \mu \ne 30

    The level of significance is  \alpha = 0.01

    The sample mean is  \= x = 31.2

Generally the test statistics is mathematically represented as

      z = \frac{ \= x - \mu }{ \frac{\sigma}{\sqrt{n} } }

=>   z = \frac{ 31.2 - 30}{ \frac{3}{\sqrt{9} } }

=>   z = 1.2

From the z table  the area under the normal curve to the right corresponding to  1.2  is    

         P(Z >  1.2) =  0.11507

Generally the p-value is mathematically represented as

         p-value = 2 * P(Z >  1.2)

=>       p-value = 2 *0.11507

=>       p-value = 0.230

From the value obtained w can see that

         p-value  > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

The conclusion is there is not enough evidence to support the claim

6 0
3 years ago
PLEASE HELP
jeyben [28]

Answer:

37.5 in

Step-by-step explanation:

can i get brainliest

7 0
2 years ago
Read 2 more answers
The mean of a population being sampled is 64, and and the standard deviation is 6. If the sample size is 50, the standard error
Fiesta28 [93]
Given:
mean = 64
standard deviation = 6
sample size = 50

Standard error of the sample mean = standard deviation / √sample size

Standard error = 6 / √50 = 6/7.07 = 0.85


6 0
3 years ago
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