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3 years ago

All of the following have the same solution except _____.

Mathematics

2 answers:

madreJ [45]3 years ago

8 0

Answer:

b+2=8

Step-by-step explanation:

miskamm [114]3 years ago

3 0

Answer: b+2=8

hope this is right!!!

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One satellite is scheduled to be launched from Cape Canaveral in Florida, and another launching is scheduled for Vandenberg Air

Lisa [10]

Answer:

$P(A) = 0.45$

$P(B) = 0.32$

Step-by-step explanation:

Given

$P(A) > P(B)$

$P(A\ u\ B) = 0.626$

$P(A\ n\ B) = 0.144$

Required

Find P(A) and P(B)

We have that:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$ --- (1)

and

$P(A\ n\ B) = P(A) * P(B)$ --- (2)

The equations become:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$ --- (1)

$0.626 = P(A) + P(B) - 0.144$

Collect like terms

$P(A) + P(B) = 0.626 + 0.144$

$P(A) + P(B) = 0.770$

Make P(A) the subject

$P(A) = 0.770 - P(B)$

$P(A\ n\ B) = P(A) * P(B)$ --- (2)

$0.144 = P(A) * P(B)$

$P(A) * P(B) = 0.144$

Substitute: $P(A) = 0.770 - P(B)$

$[0.770 - P(B)] * P(B) = 0.144$

Open bracket

$0.770P(B) - P(B)^2 = 0.144$

Represent P(B) with x

$0.770x - x^2 = 0.144$

Rewrite as:

$x^2 - 0.770x + 0.144 = 0$

Expand

$x^2 - 0.45x - 0.32x + 0.144 = 0$

Factorize:

$x[x - 0.45] - 0.32[x - 0.45]= 0$

Factor out x - 0.45

$[x - 0.32][x - 0.45]= 0$

Split

$x - 0.32= 0 \ or\ x - 0.45= 0$

Solve for x

$x = 0.32\ or\ x = 0.45$

Recall that:

$P(B) = x$

So, we have:

$P(B) = 0.32 \ or \ P(B) = 0.45$

Recall that:

$P(A) = 0.770 - P(B)$

So, we have:

$P(A) = 0.770 - 0.32 \ or\ P(A) =0.770 - 0.45$

$P(A) = 0.45 \ or\ P(A) =0.32$

Since:

$P(A) > P(B)$

Then:

$P(A) = 0.45$

$P(B) = 0.32$

6 0

3 years ago

How much cheaper per ounce is purchasing 6 ounces for $6.72 compared to purchasing 3 ounces for

charle [14.2K]

Answer:

1.60

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Cherry is booking a 3-night stay at a hotel. The rate is $45 per room plus tax.

8_murik_8 [283]

Answer:

The lodging cost of the room is $ 41.28

Step-by-step explanation:

Given as :

The rate of room including taxes = $ 45

The state tax = 6 %

The city tax = 2 %

The municipal tax = 1 %

So, The total tax = 6 % + 2 % + 1 % = 9 %

Let The lodging cost = $ x

So, According to question

x + 9 % of x = $ 45

Or, x + 0.09 × x = 45

Or, 1.09 × x = 45

∴ x = $\frac{45}{1.09}$ = $ 41.28

Hence The lodging cost of the room is $ 41.28 Answer

6 0

3 years ago

11. Find the perimeter and area of the figure shown.

Free_Kalibri [48]

Answer:

Perimeter = 16 units

Area = 15 squared units

Step-by-step explanation:

ABCD is a rectangle.

It's length l = 5 units

and width w = 3 units

Perimeter of ABCD = 2(l + w) = 2(5 + 3) = 2*8 = 16 units

Area of ABCD = 5*3 = 15 squared units.

8 0

3 years ago

If ΔWXY is ≅ to ΔPQR, WX=5n-2 and PQ=63 what is n?

erma4kov [3.2K]

If the two triangles are congruent, then WX=PQ, because they are corresponding(by the order of the letters WXY and PQR). So if they are congruent, then we can say 5n-2=63, by the transitive property. The rest of the problem only requires Pemdas. Add 2 to both sides (5n=65), divide both sides by 5 (n=13), and you find that n=13.

3 0

3 years ago