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Mathematics

1 answer:

mrs_skeptik [129]2 years ago

3 0

Answer:

(x - 2)² + (y - 6)² = 49

Step-by-step explanation:

Equation of a circle formula: (x - a)² + (y - b)² = r²

where (a, b) is the center of the circle and r is the radius

Given, center = (2, 6) and radius = 7

Substitute this information in the equation of a circle formula.

⇒ Equation of the circle: (x - 2)² + (y - 6)² = 49

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An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that

tankabanditka [31]

Answer:

1442

Step-by-step explanation:

Given,

Mean is,

$\mu = 20.4$

Standard deviation,

$\sigma = 8.8$ ,

Margin of error(E) = 0.54,

For 98% level of confidence, $z_{\frac{\alpha}{2}} = 2.33$

Thus, the sample size would be,

$n=[\frac{z_{\frac{\alpha}{2}}\times \sigma}{E}]^2$

$=[\frac{2.33\times 8.8}{0.54}]^2$

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6 0

3 years ago

Shelby mixes a 25% bleach solution with 5 cups of a 10% bleach solution, resulting in a 20% bleach solution. The table shows the

german

Answer:

Step-by-step explanation:

We will use a system of equations to solve this. We do not know how much of the 25% bleach solution is used; we will use x to represent this. We know that 5 cups of the 10% solution was used. We do not know how much of the resulting solution we have; we will use y to represent this. This gives us the equation

x+5 = y

Using the decimal forms of the percentages for each solution, we have 0.25x (25% solution for x cups), 0.1(5) (10% solution for 5 cups) and 0.2y (20% solution for y cups); this gives us the equation

0.25x+0.1(5) = 0.2y

This gives us the system

$\left \{ {{x+5=y} \atop {0.25x+0.1(5)=0.2y}} \right.$