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3 years ago

Y=2x-1 y=-3x+14 Solve for y

1 answer:

3 0

Y=2x-1
y=-3x+14

First you would substitue one of the y's for the other so
2x-1=-3x+14

no you would solve for x...
add one on both sides
2x=-3x+15

now add 3x to both sides which becomes
5x=15

divide 5 on both sides which gives you x=3

now to solve for y plug into any one of the equations(doesn't matter which one) from before 3 for x and solve
y=2(3)-1
y=6-1
y=5

And that is you answer y=5

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A packet of crisps contains 50g. If a “new size” packets contain 15% more, how many grams of crisps are in the “new size” packet

Agata [3.3K]

To solve this, you’d multiply 50 by 1.15 to get 57.5 grams of crisps.

4 0

3 years ago

Suppose on a certain planet that a rare substance known as Raritanium can be found in some of the rocks. A raritanium-detector i

aleksandrvk [35]

Answer:

0.967 = 96.7% probability the rock sample actually contains raritanium

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive reading

Event B: Contains raritanium

Probability of a positive reading:

98% of 13%(positive when there is raritanium).

0.5% of 100-13 = 87%(false positive, positive when there is no raritanium). So

$P(A) = 0.98*0.13 + 0.005*0.87 = 0.13175$

Positive when there is raritanium:

98% of 13%

$P(A) = 0.98*0.13 = 0.1274$

What is the probability the rock sample actually contains raritanium?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1274}{0.13175} = 0.967$

0.967 = 96.7% probability the rock sample actually contains raritanium

7 0

3 years ago

It is estimated that 30% of households own a riding lawn mower. A sample of 17 households is studied. What is the standard devia

alina1380 [7]

Answer:

1.89 is the standard deviation of households who own a riding mower

Step-by-step explanation:

Let the random variable X denote the number of households owning a riding lawn mower. From the given information, X will be a Binomial random variable with parameters; n = 17 and p = 30% = 0.3

The standard deviation of X;

$\sqrt{n*p*(1-p)}$

$\sqrt{17*0.3*(1-0.3)} =1.89$

7 0

3 years ago

Given g(x)= -2x+2 and f(x)= 3x^2+4, find (g+f)(-3)

aliina [53]

Answer:

Step-by-step explanation:

g(x)= -2x+2 and f(x)= 3x^2+4

(g+f)(-3)

g(-3) = -2(-3) +2 = 6+2 =8

f(-3) = 3 (-3)^2 +4 = 3(9)+4 = 27+4 = 31

(g+f)(-3) = g(-3) + f(-3) = 8+31 = 39

3 0

3 years ago

Find x(3x+72) triangle

Alinara [238K]

Answer: x = -4 ; Angle = 60°

Concept:

The given figure is a triangle with 3 arc signs on each angle. This arc sign stands for the corresponding angles are congruent, which in this question, it shows that all three angles are congruent. Sometimes, if the figure has multiple angles and there are different groupings of congruent angles, then we use different numbers of arcs or symbols.

Solve:

Given information

An angle = 3x + 72

Total measure of angles = 180 (triangle angle sum theorem)

Total number of congruent angles = 3

Given expression

Total measure = Total number of congruent angles × An angle measure

Substitute values into the expression

180 = 3 (3x + 72)

Divide 3 on both sides

180 / 3 = 3 (3x + 72) / 3

60 = 3x + 72

Subtract 72 on both sides

60 - 72 = 3x + 72 - 72

-12 = 3x

Divide 3 on both sides

-12 / 3 = 3x / 3

$\boxed{x=-4}$

Find the angle measure

3x + 72 = 3 (-4) + 72 = $\boxed{60}$

Hope this helps!! :)

Please let me know if you have any questions

6 0

2 years ago

Read 2 more answers