if A and B are two events, the probability of occurrence of either A or B is given as :
a) p(A) + p(B)
b) P(AuB)
c) P (AnB)
d) P(A).P(B)​

Answer:

9 and -9

Step-by-step explanation:

x^2:

all you have to do is (-3)^2 = -3 * -3 = 9

-x^2:

this would be -(-3)^2

the order of operations says to do exponents first, so you would have:

-(9) or -9

Answer:

c

Step-by-step explanation:

Answer:

1/30

Step-by-step explanation:

When you multiply fractions, you just muliply across,

1*3= 3

9*10= 90

you now have 3/90 but you have to simplify, we know 3 goes into 3 and it also goes into 90 equally

3/3= 1

90/3= 30

So your answer is 1/30!!

I hope this helps!!!!!!!!!!!

Answer:

125 cubic cm

Step-by-step explanation:

Length^2 = 25 so each side length is 5cm

5^3 = 125 cubic cm

Answer:

B.10m + 11

....................

Answer:

The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.

This means that [tex]n = 50, \pi = \frac{32}{50} = 0.64[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 - 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.4652[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 + 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.8148[/tex]

The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).

Answer:

The more familiar unit of measurement is that of degrees. A circle is divided into 360 equal degrees, so that a right angle is 90°.

Explanation:

The unit circle, or trig circle as it's also known, is useful to know because it lets us easily calculate the cosine, sine, and tangent of any angle between 0° and 360° (or 0 and 2π radians)

Answer:

a. True

b. True

c. False

d. False

e. Both

Step-by-step explanation:

a.  Explanation: each triangle is composed of three interior angles and three sides which can be of the same length or different lengths

b.  Explanation: isosceles triangles always have two equivalent interior angles, and all three interior angles of any triangle always have a sum of degrees

c. Explanation: The sum of the measures of the angles is always 180 degrees so that means it is not possible.

d. Explanation: exterior angles of a triangle is greater than either of the measures of the remote interior angles so This is a fundamental result in absolute false because its Interior does not depend upon the Angles

e. Explanation: Eh, There's really no explanation for this So, It's both.

Answer:

Okay, whats your question?

Step-by-step explanation:

Answer:

Figure 0 = 67 Square Units

Step-by-step explanation:

Its correct, I took the test!

Answer:

-38

Step-by-step explanation:

-c + 6y

= -(2) + 6 (-6)

= -2+(-36)

= -2 - 36

= -38

Answer:

y=1/2x+2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

y intercept is 2

and slope is rise /run

taking points (0,2) and (2,3)

we get slope= 3-2/2-0=1/2

we know the eqaution is y=mx+b where m is the slope and b the y intercept

so y=1/2x+2 which is A/ the first one

if my answer helps please mark as brainliest

Answer:

B

Step-by-step explanation:

Answer:

sorry for that

Step-by-step explanation:

image is so unclear can't even read

Answer:

1/2 is the best prediction for the number of orange cards that Jenee could get

Step-by-step explanation:

Hope this helps :D

If it does help could I get brainliest?

Answer\Step-by-step explanation:

0≤(x − y)^2 ⟹ 0≤x^2−2xy+y^2

                  ⟹ 2xy≤x^2+y^2

             ⟹ xy≤ x2+y2\2

                  ⟹ xy≤ x^2+y^2

since the clearly nonnegative real x^2+y^2

clearly satisfies x^2+y^2\2  ≤x^2+y^2.

The proof of the quadratic equation  (x-y)²=x²-2xy+y²​ is given.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

Quadratic equation

(x-y)²=x²-2xy+y²​

To prove the equation:

We substitute the value and see if LHS = RHS.

In the LHS,

LHS =  (x-y)²

LHS =  (2-1)²

LHS =  1

In the RHS,

RHS = x²-2xy+y²​

RHS = 4 - 4 + 1

RHS = 1

LHS = RHS​

Therefore, the theorem (x-y)²=x²-2xy+y²​ is proved.

To learn more about the quadratic equation;

https://brainly.com/question/17177510

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Answer:

12

Step-by-step explanation:

4 time 3 =12

Answer:

Follows are the responses to this question:

Step-by-step explanation:

Follows are the table to this question:

                                        [tex]positive \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ negative \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ total[/tex]

[tex]\text{strep value} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1281\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 219 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1500 \\\\[/tex]

[tex]\text{not the strep value} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 425 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 8075 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 8500 \\\\ \text{total} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1706 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 8294 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 10000 \\\\[/tex]

In point a:

[tex]P( \text{step and positive test}) = \frac{1281}{10000}=0.1281[/tex]

In point b:

[tex]P(\text{positive test}) =\frac{1706}{10000} =0.1706[/tex]

In point c:

[tex]P \text{(strep | positive test)} =\frac{1281}{1706} =0.7509[/tex]

Answer:

si, todos los números naturales son enteros

Answer:

( 4x^2 -16x +16)

Step-by-step explanation:

The rule is the

the first term squared + (the first term * second term  * 2) + second term^2

Answer:

x = -8

Step-by-step explanation:

We have the expression 12 - 4x = 44 and are asked to find the value of x.

To solve this, we need to isolate x, or get it by itself.

12 - 4x = 44

Subtract 12 from both sides :

-4x = 32

Divide -4 from both sides :

x = -8

Answer:

No, similar triangles cannot contain a pair of parallel lines. Yes, because || . Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).

Step-by-step explanation:

Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Both triangles are similar as,

∠QUR ≅ ∠TUS (vertical angles)

∠R ≅ ∠S (alternate interior angles).

So, By AA similarity criteria triangles are similar.

Learn more about similarity here:

https://brainly.com/question/17170212

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Answer:

This amount will be reached in 1 year and 2 months, that is, in 14 months.

Step-by-step explanation:

Given that 1 paisa is 1 cent of a rupee, at an increase of 2 paisa per rupee per month we are talking about an interest of 2% per month, which annualized is equal to 24% per year (12 x 2).

Thus, given that the initial amount is Rs $ 4800, to determine the period of time in which said interest will take the amount to Rs $ 5760 it is necessary to perform the following calculation:

4800 x 1.02 x X = 5760

4896 x X = 5760

X = 5760/4896

X = 1.17

Thus, this amount will be reached in 1.17 years, with which to calculate the number of months the following calculation must be performed:

1 = 12

0.17 = X

0.17 x 12 = X

2 = X

Thus, this amount will be reached in 1 year and 2 months, that is, in 14 months.

Answer:

g(x)=(1/3x)² .................

Answer:

The word "of" in mathematical terms means multiplication. The word "is" means equal. This would be translated into 50% x 25% x X = or 0.50 x 0.25 x X =. 0.50 times 0.25 = 0.125. Putting 0.125 into a fraction, it would be 125/1000. Simplify this fraction to get 1/8. So, the answer would be A.

Answer:

y-5=1/6(x-1)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-5)/(-5-1)=-1/-6=1/6

slope is 1/6

y-y1=m(x-x1)

y-5=1/6(x-1)

Answer:

The answer is "1110, 20.4, and 31.408"

Step-by-step explanation:

For point a:

Given:

[tex]\to mean\ ( \bar{x})=1051\\\\\to standard \ deviation \ (\sigma)=194\\\\\to P(Z<=z)=0.62\\\\\to z=0.3055\\[/tex]

Calculating the SAT score:

[tex]=1051+0.3055 \times 194 \\\\ =1110.267 \approx 1110[/tex]

For point b:  

Given:

[tex]\to mean \ \bar{x}=19\\\\ \to standard \ deviation \ (\sigma) =4.7\\\\[/tex]

Calculating the equivalent ACT score:

[tex]=19+0.3055 \times 4.7 \\\\ =20.43585 \approx 20.4[/tex]  

For point c:

[tex]\to SAT \ Score =1563\\\\\to z=\frac{(1563-1051)}{194}= \frac{512}{194}=2.64\\\\[/tex]

Calculating equivalent ACT score:

[tex]=19+2.64 \times 4.7 \\\\=31.408[/tex]

Answer:

xbxbkzkdkdjd

Step-by-step explanation:

bz va yJnzz