Determine whitch expressons are equivelent to 1/4-2/3-(1/2+5/6)

HELP ASAP. WILL GIVE BRAINLIEST.

AlladinOne [14]

Answer:

×=18+25=9²

Step-by-step explanation:

Hope this helps

4 0

2 years ago

Headshots question please help big points

stiv31 [10]

Answer:

C

Step-by-step explanation:

Graph f = x^2. Then the graph of g = (x + 3)^2 has the same shape, BUT its graph is that of f shifted 3 units to the LEFT. C is correct

6 0

3 years ago

Write the equation of the line, in point-slope form. Identify the point (-2, -2) as (x1, y1). Use the box provided or the upload

zimovet [89]

Answer:

m = (2-(-2))/(2-(-2)) = 4/4 = 1
y +2 = 1(x +2)

Step-by-step explanation:

The point-slope form of the equation for a line with slope m through point (x1, y1) is ...

y -y1 = m(x -x1)

To find the slope of the line, find the ratio of the difference in y-values of the points to the difference in corresponding x-values. Here, the slope is ...

m = (2 -(-2))/(2 -(-2)) = 4/4 = 1 . . . work to compute slope

The problem statement tells you x1 = -2, y1 = -2. Putting the numbers in to the point-slope form gives ...

y -(-2) = 1(x -(-2))

y + 2 = x + 2 . . . equation form with m, (x1, y1) filled in

__

The answer at the top leaves the slope shown as 1. We don't know how much simplification you are expected to do. Obviously, this <em>could</em> be simplified to y=x, but then the use of (-2, -2) for the point would not be obvious.

8 0

2 years ago

Sample spaces For each of the following, list the sample space and tell whether you think the events are equally likely:

Schach [20]

Answer and explanation:

To find : List the sample space and tell whether you think the events are equally likely ?

Solution :

a) Toss 2 coins; record the order of heads and tails.

Let H is getting head and t is getting tail.

When two coins are tossed the sample space is {HH,HT,TH,TT}.

Total number of outcome = 4

As the outcome HT is different from TH. Each outcome is unique.

Events are equally likely since their probabilities $\frac{1}{4}$ are same.

b) A family has 3 children; record the number of boys.

Let B denote boy and G denote girl.

If there are 3 children then the sample space is

{GGG,GGB,GBG,BGG,BBG,GBB,BGB,BBB}

The possible number of boys are 0,1,2 and 3.

Number of boys Favorable outcome Probability

0 GGG $\frac{1}{8}$

1 GGB,GBG,BGG $\frac{3}{8}$

2 GBB,BGB,BBG $\frac{3}{8}$

3 BBB $\frac{1}{8}$

Since the probabilities are not equal the events are not equally likely.

c) Flip a coin until you get a head or 3 consecutive tails; record each flip.

Getting a head in a trial is dependent on the previous toss.

Similarly getting 3 consecutive tails also dependent on previous toss.

Hence, the probabilities cannot be equal and events cannot be equally likely.

d) Roll two dice; record the larger number

The sample space of rolling two dice is

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Now we form a table that the number of time each number occurs as maximum number then we find probability,

Highest number Number of times Probability

1 1 $\frac{1}{36}$

2 3 $\frac{3}{36}$

3 5 $\frac{5}{36}$

4 7 $\frac{7}{36}$

5 9 $\frac{9}{36}$

6 11 $\frac{11}{36}$

Since the probabilities are not the same the events are not equally likely.

4 0

3 years ago

The Director of Admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem

VMariaS [17]

Answer:

Variance = 24900

Standard Deviation = 157.7973

Step-by-step explanation:

We are given the following in the question:

Number of admissions: 1000 1200 1500

Admissions Probability: 0.6 0.3 0.1

Formula:

$E(x) = \displaystyle\sum x_iP(x_i)\\E(x) = 1000(0.6) + 1200(0.3) + 1500(0.1)\\E(x) = 1110\\E(x^2) = \displaystyle\sum x_i^2P(x_i)\\E(x^2) = (1000)^2(0.6) + (1200)^2(0.3) + (1500)^2(0.1)\\E(x^2) = 1257000$

Variance =

$\sigma^2 = E(x^2) - (E(x))^2\\\sigma^2 = 1257000 -(1110)^2\\\sigma^2 =24900$

Thus, the variance is 24900.

Standard Deviation =

$\sigma = \sqrt{\sigma^2} = \sqrt{24900} = 157.7973$

Thus, the standard deviation is 157.7973

7 0

2 years ago