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3 years ago

A is a 2 ×2 matrix and 3(A+I)=I. Enter det(A+I).

1 answer:

4 0

$3(\mathbf A+\mathbf I)=\mathbf I$
$\mathbf A+\mathbf I=\dfrac13\mathbf I$
$\implies \det(\mathbf A+I)=\det\left(\dfrac13\mathbf I\right)=\left(\dfrac13\right)^2=\dfrac19$

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You purchase boxes of cereal until you obtain one with the collector's toy you want. If, on average, you get the toy you want in

Zina [86]

Answer:

The probability of getting the toy you want in any given cereal box is p=0.056.

Step-by-step explanation:

On average, you get the toy you want in every 18th cereal box.

This value corresponds to the mean of a geometric distribution, where it is expected that you get 17 "failures" before the first "success".

The mean of the geometic distribution, whose value is 18, can be written as:

$E(X)=\dfrac{1}{p}=18$

where p is the probability of "success": getting the collector's toy you want.

Then, p has a value of 1/18≈0.056.

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3 years ago

A directed line segment AB with A (1,3) and B (8,4) is partitioned by point C such that AC and CB form a 4:1 ratio. Find C

elena55 [62]

Answer:

$C = (\frac{33}{5},\frac{19}{5})$

Step-by-step explanation:

Given

$A = (1,3)$

$B = (8,4)$

$AC : BC = 4 : 1$

Required

Determine the coordinates of C

To do this, we make use of:

$C = (\frac{nx_1 + mx_2}{n+m},\frac{ny_1 + my_2}{n+m})$

Where:

$A = (1,3)$ ---- $(x_1,y_1)$

$B = (8,4)$ ---- $(x_2,y_2)$

$m:n = 4 : 1$

So:

$C = (\frac{1 * 1 + 4*8}{1+4},\frac{1*3 + 4*4}{1+4})$

$C = (\frac{33}{5},\frac{19}{5})$

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3 years ago

Jenny runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?

Svet_ta [14]

Answer:

She would run 10.5 miles

Step-by-step explanation:

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4 years ago

Help with number 1 !

mihalych1998 [28]

Draw it on the papaer, and you will find AC=BC*cot∠B

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3 years ago

How do u do this what’s the answer?

Kobotan [32]

Okay! the answer is 24.

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4 years ago

Read 2 more answers