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2 years ago

−x+3y=−15, 3x+3y=21 elimination

Mathematics

1 answer:

Vikentia [17]2 years ago

7 0

Answer: x= - 6/7, y= - 129/12

Explanation:

use the addition/elimination method to solve for x. then sub in and test then lastly, multiply everything by 7 to eliminate the fraction

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Square Root

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Answer:

Domain: [0,infinity)

Range: [0,infinity)

X-intercept: (0,0)

Y-intercept: (0,0)

Step-by-step explanation:

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2 years ago

True or False

3241004551 [841]

True the circle is a congruent to the radius of an inscribed regular polygon inside the circle

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3 years ago

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A number increased by 3 and then multiplied by 5 is at least -10. What are the three lowest natural number values this can be?

Vilka [71]

Step-by-step explanation:

It is impossible for the number values of this number to be a natural number since natural numbers are defined as being positive integers while the number "x" has to be less than -5 to satisfy the equation.

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3 years ago

When n=343 college students are randomly selected and surveyed, it is found that x=110 own a car. Find a 99% confidence interval

Liono4ka [1.6K]

Answer:

The margin of error will be "0.65". A further explanation is provided below.

Step-by-step explanation:

The given values are:

n = 343

x = 110

At 99% confidence level,

$\alpha = 1-99$ %

$=1-0.99$

$=0.01$

then,

$\frac{\alpha}{2} =\frac{0.01}{2}$

$=0.005$

or,

$Z_{\frac{\alpha}{2} }=Z_{0.005}$

$=2.576$

Now,

The point estimate will be:

⇒ $\hat{P}=\frac{x}{n}$

⇒ $=\frac{110}{343}$

⇒ $=0.321$

or,

⇒ $1-\hat{P}=1-0.321$

⇒ $=0.679$

The margin of error will be:

⇒ $E=Z_{\frac{\alpha}{2} }\times \sqrt (\frac{(\hat{P}\times (1 - \hat{P})) }{n} )$

On substituting the above values, we get

⇒ $=2.576\times \sqrt{\frac{0.321\times 0.679}{343} }$

⇒ $=2.576\times \sqrt{\frac{0.217959}{343} }$

⇒ $=0.065$

hence,

⇒ $\hat{P}-E$

⇒ $0.321-0.065$

⇒ $0.256,0.386$

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3 years ago

Write the next three numbers in each counting sequence:<br> ...,40, 30, 20, ____, ____, ____,...

Leni [432]

10, 0, -10

You just have to subtract by 10

6 0

3 years ago