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2 years ago

Given x=-3, y=6, and z=-4 -15+(-x)+y=

Mathematics

1 answer:

Alexus [3.1K]2 years ago

5 0

Answer:

-6

Step-by-step explanation:

We are given x=- 3 , y= 6 and z= -4.

We are also given the expression:

-15 + (-x) +y

Substitute -3 in for x and 6 in for y.

-15 + (- -3) + 6

2 negative signs creates a positive sign

-15 + (+3) +6

-15 + 3+ 6

Add -15 and 3.

(-15+3) +6

-12 +6

Add -12 and 6.

-6

-15+(-x)+y evaluated at x= -3 and y=6 is equal to -6.

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There are three boxes: one with two golden coins, one with two silver coins, and one with one golden coin and one silver coin. A

krek1111 [17]

Answer:

Step-by-step explanation:

From Bayes' theorem is stated mathematically as the following equation:[2]

{\displaystyle P(A\mid B)={\frac {P(B\mid A)\,P(A)}{P(B)}},}

where A and B are events and P(B) ≠ 0.

P(A) and P(B) are the probabilities of observing A and B without regard to each other.

P(A | B), a conditional probability, is the probability of observing event A given that B is true.

P(B | A) is the probability of observing event B given that A is true.

At this point, go through the attached file before you continue with part B.

Part B)

P(silver) = P(silver from SS)+P(silver from GS)

note P(SS)=P(GG)=P(GS) = 1/3

P(silver from SS) = 1

P(silver from GS) = 1/2

hence

P(Silver from SS) = 1/3

P(Silver from GS) = 1/3 *1/2

P(Silver) = 1/3*1+1/3*1/2

required probability = P(Silver from SS)/P(Silver) = 2/3

4 0

2 years ago

As you can see I keep getting questions wrong.... Can you answer the last question?

aivan3 [116]

Answer:

y = 0

Step-by-step explanation:

It is always a good idea to look at the question and make some observations about it. Here, you might observe ...

all of the bases are powers of 3: 243 = 3^5; 9 = 3^2
y is a factor of every exponent

The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.

To solve the equation, you can write it in terms of powers of 3.

(3^5)^(-y) = (3^-5)^(3y)·(3^2)^(-2y)

3^(-5y) = 3^(-15y)·3^(-4y)

3^(-5y) = 3^(-19y)

-5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3

14y = 0 . . . . . . . . . . add 19y

y = 0 . . . . . . . . . . . one solution

______

The rules of exponents we used are ...

(a^b)(a^c) = a^(b+c)

(a^b)^c = a^(bc)

1/a^b = a^-b

4 0

2 years ago

A gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than

Neko [114]

Answer:

The probability that no more than 70% would prefer to start their own business is 0.1423.

Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let $\hat p$ = sample proportion of people who prefer to start their own business

The z-score probability distribution for the sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, p = population proportion who would prefer to start their own business = 72%

n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( $\hat p$ $\leq$ 70%)

P( $\hat p$ $\leq$ 70%) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\leq$ $\frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } }$ ) = P(Z $\leq$ -1.07) = 1 - P(Z < 1.07)

= 1 - 0.8577 = 0.1423

The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

3 0

2 years ago

a line has a slope of 2 and passes through the point of 3,9. wat is the equation of the line in slope intercept form

7nadin3 [17]

The equation for a line that passes through the point of (3, 9) and has a slope of 2 in slope intercept form is y=2x+3

6 0

2 years ago

A small company plans to invest in a new advertising campaign. There is a 20% chance that the company will lose $5,000, a 50% ch

Viktor [21]

A small company plans to invest in a new advertising campaign.

There is a 20% chance that the company will lose $5,000 ,

50% chance of a break even, and a 30% chance of a $10,000 profit

So the expected value from the advertisement campaign is calculated as - 20% of 5000 + 0% of 5000 + 30% of 10,000

= -1000 + 0 + 3000

= 2000

The expected value from the advertisement campaign is $2000.

So the Company must go ahead with the campaign.

Answer : Option A

Hope it helps.

Thank you ..!!

3 0

2 years ago