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3 years ago

3•r^6 is equivalent to:? Need help

Mathematics

1 answer:

Korvikt [17]3 years ago

5 0

I think the answer is r< 18

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In a random sample of 257 adult Orcas in the wild, there were 159 whose total body length was 28 feet or longer. Create a 98% co

REY [17]

Answer:

98% Confidence interval: (0.5483,0.6891)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 257

Number of adults total body length was 28 feet or longer, x = 159

$\hat{p} = \dfrac{x}{n} = \dfrac{159}{257} = 0.6187$

98% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.02} = 2.326$

Putting the values, we get:

$0.6187\pm 2.326(\sqrt{\dfrac{0.6187(1-0.6187)}{257}})\\\\ = 0.6187\pm 0.0704\\\\=(0.5483,0.6891)$

is the required 98% confidence interval.

7 0

2 years ago

A vertical parabola goes through (1,-2), (-3, 10), and (4, 31). Use matrices to

Elenna [48]

Answer:

D = 1/2 , E = -1/2 , F = -5/2

Step-by-step explanation:

vertical parabola : ( 1,-2), ( -3, 10 ), (4, 31 )

General form ; $x^2 + y^2 + Dx + Ey + F = 0$

( 1 ,-2 ) = x1, y1

( -3, 10 ) = x2, y2

( 4, 31 ) = x3, y3

hence :

$y1 = ax_{1} ^2 + bx_{1} + c$

$y2 = ax_{2} ^2 + bx_{2} + c$

$y3 = ax_{3} ^2 + bx_{3} + c$

attached below is the detailed solution required

D = 1/2 , E = -1/2 , F = -5/2

8 0

2 years ago

One side of a triangle is 3 inches and its area is 36 inches. The corresponding side of

Elis [28]

its lonmg.answer

Step-by-step explanation:

7 0

2 years ago

Which of these shapes are quadrilaterals? Choose ALL the correct answers.

kherson [118]

Answer:

The red square, the green rectangle, the pink rhombus, and the green trapezoid.

Step-by-step explanation:

A quadrilateral is a shape that has 4 sides so all you have to do is count how many sides the shape has.

3 0

2 years ago

Quadrilateral RJFT is similar to quadrilateral SYPA . JF=60 mm , AP=40 mm , and YP=25 mm . What is TF ?

Hoochie [10]

The two quadrilaterals are similar. Which means the ratios of respective sides of two quadrilaterals will be the same.

So, for the given quadrilaterals, ratio of sides JF and TF of quadrilateral RJFT will be equal to the ratio of sides YP and AP of quadrilateral SYPA. Mathematically, we can write:

$JF:TF = YP:AP \\ \\ 
 \frac{JF}{TF} = \frac{YP}{AP} \\ \\ 
 \frac{60}{TF} = \frac{25}{40} \\ \\ 
60* \frac{40}{25}=TF \\ \\ 
TF=96mm$

So the measure of TF will be 96mm

7 0

2 years ago