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4 years ago

4 divided by 1.69 is ?

Mathematics

2 answers:

stiv31 [10]4 years ago

6 0

2.3668 is the answer for that ?

SSSSS [86.1K]4 years ago

5 0

It would be 2.36686390533

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Please help <br> Problem in the picture

lilavasa [31]

Answer:

42 degrees

Step-by-step explanation:

first you have to put the two equations given equal to each other because since ET bisects it the two sides are equal to each other

5x+7 = 8x-14

then you solve for x

- first get rid of 5x

7=3x-14

- second you move the 14 over

21 = 3x

- last divide 3 into 21

21/3= 7

x=7

then plug 7 into the one or both of the equations

5(7)+7= 35+7= 42

8(7) - 14= 56 - 14= 42

42 degrees is the answer

6 0

4 years ago

From 1995 - 2008 in the US 648 people were struck by lightening. 531 of them were men. You want to see if this observation diffe

Gre4nikov [31]

Answer:

Because z is higher than any given value in the chart we come to the conclusion To reject null hypothesis

Step-by-step explanation:

Sample proportion = p= 531/648 = 0.8194

This is the proportion of men that were hit by lightening

Null hypothesis: H0: p = 0.5

Alternate hypothesis: H1: p ≠ 0.5

Test statistics z = 0.8194-0.5/(√0.5x0.5/648)

= 0.8194-0.5/√0.0003858

= 0.3194/0.019642

= 16.26

Since the z > 1.96 (at 5% significance) we reject the null hypothesis.

Therefore in conclusion we say z is higher than given values in the chart so we reject null hypothesis.

Please check attachment!

3 0

4 years ago

How much does Bethany spend in week 4?

alex41 [277]

The sum of known =179
The unknown = x
179+x/6=39
179+x =39*6
x = 234-179

3 0

3 years ago

Find the equation of the sphere centered at (-9,9, -9) with radius 5. Normalize your equations so that the coefficient of x2 is

olganol [36]

<h2><u>Answer</u>:</h2>

(a) x² + y² + z² + 18(x - y + z) + 218 = 0

(b) (x + 9)² + (y - 9)² + 56 = 0

<h2><u>Step-by-step explanation:</u></h2>

<em>The general equation of a sphere of radius r and centered at C = (x₀, y₀, z₀) is given by;</em>

(x - x₀)² + (y - y₀)² + (z - z₀)² = r² ------------------(i)

<em>From the question:</em>

The sphere is centered at C = (x₀, y₀, z₀) = (-9, 9, -9) and has a radius r = 5.

<em>Therefore, to get the equation of the sphere, substitute these values into equation (i) as follows;</em>

(x - (-9))² + (y - 9)² + (z - (-9))² = 5²

(x + 9)² + (y - 9)² + (z + 9)² = 25 ------------------(ii)

<em>Open the brackets and have the following:</em>

(x + 9)² + (y - 9)² + (z + 9)² = 25

(x² + 18x + 81) + (y² - 18y + 81) + (z² + 18z + 81) = 25

x² + 18x + 81 + y² - 18y + 81 + z² + 18z + 81 = 25

x² + y² + z² + 18(x - y + z) + 243 = 25

x² + y² + z² + 18(x - y + z) + 218 = 0 [<em>equation has already been normalized since the coefficient of x² is 1</em>]

<em>Therefore, the equation of the sphere centered at (-9,9, -9) with radius 5 is:</em>

x² + y² + z² + 18(x - y + z) + 218 = 0

(2) To get the equation when the sphere intersects a plane z = 0, we substitute z = 0 in equation (ii) as follows;

(x + 9)² + (y - 9)² + (0 + 9)² = 25

(x + 9)² + (y - 9)² + (9)² = 25

(x + 9)² + (y - 9)² + 81 = 25 [<em>subtract 25 from both sides</em>]

(x + 9)² + (y - 9)² + 81 - 25 = 25 - 25

(x + 9)² + (y - 9)² + 56 = 0

The equation is therefore, (x + 9)² + (y - 9)² + 56 = 0

6 0

4 years ago

Find the geometric means in the following sequence.

soldi70 [24.7K]

Answer:

Last choice. d.

Step-by-step explanation:

We are given the first term and the sixth term.

The first term is $a_1=-9$ .

The sixth them is $a_6=a_1r^5=-9216$ .

Let's solve for the common ratio, r.

$-9r^5=-9216$

Divide both sides by -9:

$r^5=1024$

Take the fifth root of both sides:

$r=1024^{\frac{1}{5}}$

$r=4$

So the common ratio is 4.

$a_1=-9$

$a_2=-9(4)=-36$

$a_3=-9(4)^2=-144$

$a_4=-9(4)^3=-576$

$a_5=-9(4)^4=-2304$

$a_6=-9(4)^5=-9216$

8 0

4 years ago