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2 years ago

Help I can’t get the answer

Mathematics

1 answer:

djverab [1.8K]2 years ago

8 0

Answer:

c. 95 beetles

Step-by-step explanation:

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Given P(A)=0.78P(A)=0.78, P(B)=0.65P(B)=0.65 and P(A\cup B)=0.873P(A∪B)=0.873, find the value of P(A\cap B)P(A∩B), rounding to t

Sever21 [200]

Answer:

$P(A\ n\ B) = 0.557$

Step-by-step explanation:

Given

$P(A) = 0.78$

$P(B) = 0.65$

$P(A\ u\ B) = 0.873$

Required

Determine $P(A\ n\ B)$

From laws of probability, we have:

$P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)$

Substitute in values

$P(A\ n\ B) = 0.78 + 0.65 - 0.873$

$P(A\ n\ B) = 0.557$

Hence, $P(A\ n\ B)$ <em> is calculated to be 0.557</em>

8 0

2 years ago

Use a matrix equation to solve the system of linear equations. left brace Start 2 By 1 Matrix 1st Row 1st Column 2nd Row 1st Col

natali 33 [55]

Answer:

$\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]$

Step-by-step explanation:

The matrix system for the linear equations: x + 2y = 8, 2x + 6y = 9

$\left[\begin{array}{ccc}1&2&\\2&6\\\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}8\\9\end{array}\right]$

To get the coefficient of x and y, the inverse of the first matrix (let the first matrix be A) must be known.

$A^{-1}$ = (1 / determinant of A) x Adjoint of A

the determinant of A = (1 x 6) - (2 x 2) = 6 - 4 = 2

Adjoint of A = $\left[\begin{array}{ccc}6&-2&\\-2&1\\\end{array}\right]$

$A^{-1}$ = $\frac{1}{2} \left[\begin{array}{ccc}6&-2\\-2&1\end{array}\right]$ = $\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]$

4 0

3 years ago

2 1/2 divided by 2 1/3

horsena [70]

Answer:

Exact Form: 15/2

Decimal Form: 7.5

Mixed Number Form: 7 1/2

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

(q^4)^z= q^12 find the value of z

juin [17]

Answer:

z = 3

Step-by-step explanation:

we use the method

(x^a)^b = x^(a*b)

(q^4)^z = q^(4*z)

now

4*z = 12

z = 12 / 4

z = 3

4 0

3 years ago

HELP I AM TIMED PLZZZZZZ!!!!!!!!!!!!!!!

otez555 [7]

Answer:

2/6 = d/84 d=24

Step-by-step explanation:

d=24

3 0

3 years ago