Charla works at a clothing store. Her pay is calculated using the formula

The weight, y, in pounds, of kittens was tracked for the first 8 weeks after birth where t represents the number of weeks after

marshall27 [118]

Answer:

Step-by-step explanation:

The mentioned relationship for the weight, in pounds, of the kitten with respect to time, in weeks, is

$\hat y =1.7 +1.48t$

Weight of the kitten after 10 weeks

$\hat y =1.7 +1.48\times 10$

$\hat y =16.5$ pounds

This modeled equation is based on the observation of the early age of a kitten where the kitten is in its growth period, but in the early stage the growth rate in the weight of the kitten was the same but the growth of any living beings continues till the adult stage. So, after some time, in real life situation, this weekly change in weight will become zero, So, this model is not suitable to measure the weight of the kitten over the larger time period.

Here, t= 10 weeks is nearby the observed time period, so the linearly modeled equation can be used to predict the weight.

Hence, the weight of the kitten after 10 weeks is 16.5 pounds.

8 0

2 years ago

A television network is about to telecast a new television show. Before a show is launched, the network airs a pilot episode and

Basile [38]

Answer:

(E) 0.83

Step-by-step explanation:

We will solve it using conditional probability.

Let A be the event that a TV show is successful.

P(A) = 0.5

A' be event that the show is unsuccessful

P(A') =0.5

Let B be the event that the response was favorable

P(B) = 0.6

Let B' be the event that the response was unfavorable/

P(B') = 0.4

P(A∩B) = 0.5 and P(A∩B') = 0.3

We need to find new show will be successful if it receives a favorable response.

P(A/B) = $\frac{P(A∩B)}{P(B)}$

= 0.5/0.6

= 0.833

7 0

2 years ago

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NOT is coded as LKF and FLY is coded as TNA, then which of the following word/s has/have correct coding? (1) TOP – FKJ (2) RUN –

AVprozaik [17]

Answer:

(1) and (3) are correct options

Step-by-step explanation:

NOT is coded as LKF
FLY is coded as TNA

<u>Using alphabet, we can see that:</u>

NOT = 14, 15, 20 ⇔ 13+1, 13+2, 13+7 ⇒ LKF = 12,11,6 = 13-1, 13-2, 13-7

Coding for each letter is 13 + x ⇒ 13 - x

(1) TOP ⇒ FKJ

TOP = 20,15,16 ⇒ 13-7, 13-2, 13-3 = 6,11,10 = FKJ
Correct

(2) RUN ⇒ IFM

RUN = 18,21,14 ⇒ 13-5,13-8,13-1 = 8,5,12 = HEL ≠ IFM
Incorrect

(3) MUG ⇒ MES

MUG = 13,21,7 ⇒ 13+0, 13-8, 13+6 = 13,5,19 = MES
Correct

(4) HOT ⇒ RKG

HOT = 8,15,20 ⇒ 13+5,13-2, 13-7 = 18,11,6 = RKF ≠ RKG
Incorrect

7 0

1 year ago

Two parabolas have the same focus, namely the point $(3,-28).$ Their directrices are the $x$-axis and the $y$-axis, respectively

jeyben [28]

Answer:

the slope of the common cord is: $-1$

Step-by-step explanation:

Given the focus (a,b) = (3,-28)

for a parabola with directrix at x-axis the equation will be

$\left(x-a\right)^{2}+\left(y-b\right)^{2}=y^{2}$

$\left(x-a\right)^{2}+\left(y-b\right)^{2}-y^{2}=0$

for a parabola with directrix at y-axis the equation will be

$\left(x-a\right)^{2}+\left(y-b\right)^{2}=x^{2}$

$\left(x-a\right)^{2}+\left(y-b\right)^{2}-x^{2}=0$

The common chord is the line between two points where the two parabolas intersect. For intersection, we can equate the two parabolas!

In other words, at the point of intersection of these two parabolas the values of the two parabolas will be the same.

$\left(x-a\right)^{2}+\left(y-b\right)^{2}-y^{2}=\left(x-a\right)^{2}+\left(y-b\right)^{2}-x^{2}$

$\left(x-3\right)^{2}+\left(y+28\right)^{2}-y^{2}=\left(x-3\right)^{2}+\left(y+28\right)^{2}-x^{2}$

we can now simplify the equation. (we can see that (x-3) and (y+28) both cancel out by -(x-3) and -(y+28))

$-y^{2}=-x^{2}$

$y=\sqrt{x^{2}}$

$y=\pm x$

this the equation of the common cord. but we need to select whether its

$y=+ x$ or $y=-x$ .

This can be found by realizing that the focus lies on the 4th quadrant of the xy-plane! And the equation $y=-x$ also generates a line that exists in the 2nd and 4th quadrant.

Hence the slope of the common cord is the slope of the line $y=-x$

that is : $-1$

3 0

2 years ago

Identify a transformation of the function ƒ(x) = x by observing the equation of the function g(x) = m ⋅ x, with m > 1

lara [203]

If f(x) = x, or 1x, then g(x) = m*x multiplies the slope of the original function by a factor of m.

3 0

2 years ago

Read 2 more answers