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2 years ago

If C=24, what values of A and B complete Ax+By=C for each graph? Write the standard form for each equation.

Mathematics

1 answer:

larisa [96]2 years ago

3 0

Answer:

Step-by-step explanation:

For graph (a),

Let the equation of the line is,

Ax + By = C

For the line passing through (4, 0) and C = 24,

4A + B(0) = 24

4A = 24

A = 6

For a point (0, -3) lying on this line,

A(0) + B(-3) = 24

-3B = 24

B = -8

Therefore, equation of the line will be,

6A - 8B = 24

3A - 4B = 12

b). If the equation of the given line is,

Ax + By = 24

For a point (3, 0) lying on the line,

3A + B(0) = 24

A = 8

For a point (0, 2) lying on the line,

A(0) + 2B = 24

2B = 24

B = 12

Therefore, equation of the given line will be,

8A + 12B = 24

2A + 3B = 6

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Suppose you have a litter of mice which consists of 8 males and 4 females. If you randomly grab two of them, what is the probabi

tiny-mole [99]

Answer:

The probability that they are both male is 0.424 (3 d.p.)

Step-by-step explanation:

The first step is to find the probability of the first selection being male. This is calculated as number of male mice divided by total number of mice in the litter

Prob (1st male) = 8 ÷ 12 = 0.667

Next is to find the probability of the second selection also being male. Note that the question states that the first mice was selected without replacement. This means the first mouse taken results in a reduction in both the number of male mice and total number of mice in the litter.

Prob (2nd male) = (8 - 1) ÷ (12 - 1) = 7/11 = 0.636

Therefore,

Prob (1st male & 2nd male) = 0.667 × 0.636 = 0.424

5 0

2 years ago

The number of home runs scored by a certain team in one baseball game is a random variable with the distribution x 0 1 2 P(x) 0.

DanielleElmas [232]

Answer: E(Y) = 1.6 and Var(Y)=1.12

Step-by-step explanation:

Since we have given that

X 0 1 2

P(X) 0.4 0.4 0.2

Here, number of games = 2

So, $Y=X_1+X_2$

Since $X_1\ and\ X_2$ are independent variables.

so, $E[Y]=2E[X]\\\\Var[Y]=2Var[X]$

So, we get that

$E(X)=0.4\times 0+0.4\times 1+0.2\times 2=0.8\\\\and Var[x]=E[x^2]-(E[x])^2\\\\E[x^2]=0\times 0.4+1\times 0.4+4\times 0.2=1.2\\\\So, Var[x]=1.2-(0.8)^2\\\\Var[x]=1.2-0.64=0.56$

So, E[y]=2×0.8=1.6

and Var[y]=2×0.56=1.12

Hence, E(Y) = 1.6 and Var(Y)=1.12

5 0

2 years ago

Given: Circle M with inscribed Angle K J L and congruent radii JM and ML Prove: mAngle M J L = One-half (measure of arc K L) Cir

Luda [366]

Answer:

We need to demontrate

$m \angle MJL = \frac{1}{2}arc(KL)$

As you can see in the figure below, angle MJL is an inscribed angle for Circle M, that means we can use the inscribed angle theorem to demonstrate the proposition above.

<h3>Therorem.</h3>

<em>The angle formed by two intersecting chords with vertex on the circumference is equal to one-half of the intercepted arc.</em>

<em />

Notice that the theorem says a chord. However, a diameter is a chord by definition, because a chord is a segment that unites to points of the circumference, and a diameter does that too.

Therefore, based on the inscribed angle arc theorem, we have

$m \angle MJL = \frac{1}{2}arc(KL)$

3 0

2 years ago

Read 2 more answers

A combination washer/dryer costs $1,179. New parts for this washer/dryer cost $211, labor to repair it costs $553, and shipping

Keith_Richards [23]

The better deal is the Full Warranty, by approximately 174 dollars. To solve the cost of the full warranty, simply multiply 30 percent times the cost of the washer/dryer.30 x 1,179 = 353.70. You do not need to add anything to this because the warranty covers the extra costs. To solve for the cost of the limited warranty, multiply 14 percent times the cost of the washer/dryer, plus the cost of the new parts and the repair center costs (the warranty only covers the labor repair costs): (.14 x 1,179) + 211 + 152 --> 165.06 + 211 + 152 = 528.06. The full warranty is clearly cheaper. To figure out by how much, simply subtract the full warranty from the limited warranty: 528.06 - 353.70 = 174.36. To round to the nearest number, take off the decimal: 174. So that means your answer is D hope this helps.

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2 years ago

Read 2 more answers

Which numbers are rational?<br> I. 2.2222222...<br> II. 2.20220222...<br> III.2.345

Sedbober [7]

Answer:

2.345

Step-by-step explanation:

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2 years ago