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4 years ago

Find four numbers that are between 0.22 and 0.23 input all six numbers in order

Mathematics

1 answer:

den301095 [7]4 years ago

5 0

0.222,0.223,0.224,0.225,0.226,0.227 bcause you just take it out another decimal, I hope this helps!

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A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal

juin [17]

Answer: $H_0:p\leq0.72$

$H_a:p\neq0.72$

Step-by-step explanation:

Given : A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 72% .

Let 'p' be the new proportion of high school seniors who felt that "getting rich" was an important personal goal .

Claim : $p\neq0.72$

We know that the null hypothesis has equal sign.

Therefore , the null hypothesis for the given situation will be opposite to the given claim will be :-

$H_0:p=0.72$

And the alternative hypothesis must be :-

$H_a:p\neq0.72$

Hence, the null hypothesis and the alternative hypothesis that we would use for this test :

$H_0:p\leq0.72$

$H_a:p\neq0.72$

5 0

4 years ago

Circle A has an area of 500 in.². The diameter of the circle B is three times the diameter of Circle A. Estimate the area of cir

iren2701 [21]

R^2π=500in^2
r^2=500 in^2/π
r=(500 in^2/π)^(1/2)= 12.62 in
plug it in:
db=3da=3(2(12.62))= 75.69
r of b = 75.69/2=37.85in
A of b = (37.85in)^2π = 8.22 in^2

7 0

4 years ago

What data set it the most spread from its mean

Ber [7]

Answer:

49, 17, 4, 18

Step-by-step explanation:

7 0

3 years ago

X^2+4x+y^2-10y+20=30 find the center of the circle by completing the square

swat32

Answer:

a). Center of the circle = (-2, 5)

b). Equation of the line ⇒ y = $-\frac{4}{5}x+\frac{58}{5}$

Step-by-step explanation:

Equation of the circle is,

x² + 4x + y²- 10y + 20 = 30

a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30

[x² + 2(2)x + 4] - 4 + [y² - 2(5)y + 25] - 25 + 20 = 30

(x + 2)² + (y - 5)²- 29 + 20 = 30

(x + 2)² + (y - 5)²- 9 = 30

(x + 2)² + (y - 5)² = 39

By comparing this equation with the standard equation of a circle,

Center of the circle is (-2, 5).

b). A point (2, 10) lies on this circle.

Slope of the line joining this point to the center (-2, 5),

$m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

= $\frac{10-5}{2+2}$

= $\frac{5}{4}$

Let the slope of the tangent which is perpendicular to this line is ' $m_{2}$ '

Then by the property of perpendicular lines,

$m_{1}\times m_{2}=-1$

$\frac{5}{4}\times m_{2}=-1$

$m_{2}=-\frac{4}{5}$

Now the equation of the line passing though (2, 10) having slope $m_{2}=-\frac{4}{5}$

y - y' = $m_{2}(x-x')$

y - 10 = $-\frac{4}{5}(x-2)$

y - 10 = $-\frac{4}{5}x+\frac{8}{5}$

y = $-\frac{4}{5}x+\frac{8}{5}+10$

y = $-\frac{4}{5}x+\frac{58}{5}$

Therefore, equation of the line will be, y = $-\frac{4}{5}x+\frac{58}{5}$

7 0

3 years ago

Margie threw a ball upwards while standing on a platform 65ft above the ground. The trajectory follows the equation:h(t)=-1.5t^

EastWind [94]

Answer:

14 seconds

Step-by-step explanation:

Given equation is representing the graph of parabola which opens down and its pick is its vertex

The vertex is calculated by vertex formula:

x = -b/2a for the equation y = ax² + bx + c

In our case t is the vertex and its value is:

t = -42/(-1.5*2) = 42/3 = 14 seconds

7 0

3 years ago