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3 years ago

HELP!! What is the exponential regression equation that fits these data?

Mathematics

2 answers:

zzz [600]3 years ago

8 0

Answer is b i believe

Alla [95]3 years ago

8 0

Answer:

A. y=3.80*2.01^x

Step-by-step explanation:

a-pex

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A telephone pole is 24 feet tall. Curtis, who is standing some distance away from the telephone pole measures the angle of eleva

taurus [48]

The distance from the base of the telephone pole to Curtis is about 15 feet.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more number and variables.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let d represent the distance from the base of the telephone pole to Curtis, hence:

tan(51.4) = (24 - 5.2) / d

d = 15 feet

The distance from the base of the telephone pole to Curtis is about 15 feet.

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2 years ago

The radius of a circle is 10 cm. What is the volume?

kobusy [5.1K]

The 3-dimensional shape of a circle is a sphere. In order to solve the volume (v) of a sphere from the radius or diameter of any circumscribed circle within is as follows:
v = 4/3 × pi × r^3, where pi roughly = 3.14
v = 4/3 × 3.14 × (10cm)^3
v = 1.33 × 3.14 × 1000cm^3
v = 4,188.56 cm^3 (cubic cm)
v = 4,189 cm^3 (rounded up)

3 0

3 years ago

Read 2 more answers

Dos cruceros salen del muelle. El primer barco tiene 2230 pasajeros. El segundo barco tiene 1818 pasajeros. ¿Cuál es el número t

drek231 [11]

4,048 es la respuesta

7 0

3 years ago

Which statement is the contrapositive of the conditional statement:

posledela

Answer:

The statement contrapositive to the given statement is,

If point B is not the midpoint, then point B does not bisect the line segment AC into two congruent segments.

Step-by-step explanation:

The given statement is,

If point B bisects line segment AC into two congruent segments, then point B is the midpoint.

The statement contrapositive to the given statement is,

If point B is not the midpoint, then point B does not bisect the line segment AC into two congruent segments.

Note :-

If a statement is such that,

A ⇒ B

then A ⊆ B

and it's contrapositive statement is,

$B^{c}$ ⇒ $A^{c}$

implying that,

$B^{c}$ ⊆ $A^{c}$

8 0

4 years ago

3.8.10) Inclusions are defects in poured metal caused by contamitants. The number of (large) inclusions in cast iron follows a P

Afina-wow [57]

Answer:

a) P(X>=1) = 0,7293 or P(X>=1) = 72,93 %

b) P(X>=3) = 0,5686 or P(X>=3) = 56,86 %

c) y = 0,8494 mm³

d) λ = 1,69897 inc per mm³

Step-by-step explanation:

a) P(X>=1) = 1 - P(X=0)

P(X = 0) = λ⁰ * e∧⁻λ / 0! where λ = 2 in/mm³

P(X = 0) = e∧-2 ⇒ P(X = 0) = 0,2706

Then

P(X>=1) = 1 - 0,2706

P(X>=1) = 0,7293 or P(X>=1) = 72,93 %

b) 3 inc. in 4 mm³ = 2*4/3 λ = 2,67 inc. per mm³

P(X>=3) = 1 - P(X=1 ) - P(X=2)

P(X=1) = λ¹ * e∧-λ / 1! ⇒ P(X=1) = 2,67 *e∧- 2,67/1

P(X=1) = 0,1846

P(X=2) = λ² * e∧-λ / 2! ⇒ P(X=2) = (2,67)² * e ∧ - 2,67/2

P(X=2) = 7,1289* 0,06925/2 ⇒ P(X=2) = 0,2468

Then

P(X>=3) = 1 - 0,1846 - 0,2468

P(X>=3) = 0,5686 or P(X>=3) = 56,86 %

c) P(X>=1) = 0,98

and λ = 2*y where y is the quantity of material

P(X=0) = 1 - P(X>=1)

P(X=0) = 1 - 0,98 P(X=0) = 0,02

0,02 = (2*y)⁰ * e ∧ -2*y /0!

0,02 = 1 * e ∧ -2*y

Taking log on both sides of the equation

log (0,02) = -2*y - 1,69897 = - 2*y

y = 0,8494 mm³

d) P(X >=1 ) = 1 - P( X = 0)

0,98 = 1 - P( X = 0)

P( X = 0) = 0,02

0,02 = λ⁰ * e ∧ - λ / 0!

0,02 = e ∧ -λ

Taking log on both sides of the equation we get:

log ( 0,02 ) = - λ

- 1,69897 = - λ

λ = 1,69897 inc. per mm³

8 0

3 years ago