A rectangle has a length of 12 cm and a width of 9 cm. What is its perimeter?
21 cm
42 cm
44 cm
189 cm

Answer:

0.50 :)

Step-by-step explanation:

The probability of the union of being either a freshman or junior is 0.50

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

P(A) = n(A)/n(S)

where,  n(A) is the number of favorable outcomes,

n(S) is the total number of events in the sample space.

For given example,

Students have equal probabilities of being freshmen, sophomores, juniors, or seniors.

⇒ P(freshman) = 0.25

⇒ P(sophomores) = 0.25

⇒ P(juniors) = 0.25

⇒ P(seniors) = 0.25

We know for event A and B,

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Assuming event A : student is a freshman

event B : student is junior

P(A) = 0.25

P(B) = 0.25

The number of students who are freshman as well as junior = 0

⇒ n(A ∩ B) = 0

⇒ P(A ∩ B) = 0

Now, the probability of the union of being either a freshman or junior would be,

⇒ P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

⇒ P(A ∪ B) = 0.25 + 0.25 - 0

⇒ P(A ∪ B) = 0.50

Therefore, the probability of the union of being either a freshman or junior is 0.50

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Answer:

yes

Step-by-step explanation:

Answer:

3. 49

4. 101

Step-by-step explanation:

3) 180-51-63

= 66

180 - 66 = 44

4) 180 - 86-45 = 49

180 - 49 - 30 =101

Answer:

V = D. 75.4 in.³   (Answer D)

Step-by-step explanation:

The can volume is V = πr²h, which in this particular case is

V = π(2 in)²(6 in), or

V = D. 75.4 in.³   (Answer D)

Answer:

D

Step-by-step explanation:

(3.14x2^2)(6)=75.36

Answer:

74

Step-by-step explanation:

72 + 73 + 74 + 75 + 76 = 370

370 divided by 5 = 74

Hope this helps! Leave any questions or concerns in the comments! byeee <3

Answer:

It's decreasing to the left and increasing to the right

Step-by-step explanation:

Answer:

Cada unidad integra los cinco bloques, según el ajuste curricular de Lengua y ... Escribo la letra de la palabra del recuadro, que corresponde al ... Completo el cuadro con las características antes señaladas. ... literarios con nuevas versiones de escenas, personajes u otros elementos. ... oración que presente al animal.

Step-by-step explanation:

Answer:

B) -7°c

Step-by-step explanation:

Answer:

38/50 or 19/25

Step-by-step explanation:

One way could be that you add all the marbles together to get your total marbles; 12 + 10 + 15 + 13 = 50.

Then you add all the colours expect red; 10 + 15 + 13 = 38.

Which would give me 38/50; which simplifed would be 19/25

Answer:

im confused too man

Step-by-step explanation:

============================================================

Explanation:

The length of 17 cm and slanted length of 10 cm are not used at all. They are likely thrown in as a distraction.

Instead, we focus on the horizontal base of 10 cm and the vertical height of 9 cm. The base and height are always perpendicular to one another.

The area of the triangle is therefore...

area = base*height/2

area = 10*9/2

area = 90/2

area = 45 square cm

It doesn't matter that this triangle is obtuse, the same area formula applies to any triangle.

------------

A longer method would have you compute the area of the dashed triangle, and the area of the two combined triangles (the largest overall triangle). Subtracting the two would lead to the answer of 45 cm^2. You'll need the pythagorean theorem to find the base of the dashed triangle, which then helps find the base of the largest triangle overall as well. At this point is when the 17 and 10 come into play, but I find the first method is much easier.

Answer:

C. 50 [tex]cm^2[/tex]

Step-by-step explanation:

area of big triangle - area of small triangle

find missing side lengths with pythagorean theorem:

[tex]9^2 + b^2=10^2\\\\81+b^2=100\\\\b^2= 19\\\\b=\sqrt{19}\\[/tex]

[tex]10^2+b^2=17^2\\\\100+b^2=289\\\\b^2=189\\\\b=\sqrt{189}[/tex]

find area:

1/2(10)([tex]\sqrt{189}[/tex] ) - 1/2([tex]\sqrt{19}[/tex] )(9)

=   49.124

which is closest to 50 [tex]cm^2[/tex]

Answer:

f

Step-by-step explanation:

because it's less than mine not less nine

Answer:

x + 5 = 23

Step-by-step explanation:

Just write it like how you say it.

The algebraic expression for the given phrase is x+5=23.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given phrase is "x plus five is twenty three"

Here, the equation is x+5=23

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Transpose 5 to the RHS of the equation, we get

x=23-5

x=18

Therefore, the x value is 18.

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Answer:

A≈263.89

Step-by-step explanation:

Solution

A=2πrh+2πr2=2·π·3·11+2·π·32≈263.89378

Answer:

4

Step-by-step explanation:

Answer:

95%

Step-by-step explanation:

Current MEAN = 85 + 88 + 92 + 90/4 = 88.75 %

Lets assume needed score is 92%

Mean with assume needed score: 85 + 88 + 92 + 90 + 92/5 = 89.4%

Lets assume needed score is 93%

Mean with assume needed score: 85 + 88 + 92 + 90 + 93/5 = 89.6%

Lets assume needed score is 94%

Mean with assume needed score: 85 + 88 + 92 + 90 + 94/5 = 89.8%

Lets assume needed score is 95%

Mean with assume needed score: 85 + 88 + 92 + 90 + 95/5 = 90%

Answer:

5. h = 12

6. k = 17, m = 12

Step-by-step explanation:

5. The sum of angles on the adjacent side of a diagonal of a parallelogram is 180 degree

[tex]3h + 24 = 4 h + 12\\h = 12[/tex]

6. The  angle is 90 degrees

[tex]5k + 5 = 90\\k = 17\\7m + 6 = 90\\m = 12[/tex]

Answer:

[tex]Pr = \frac{1}{870}[/tex]

Step-by-step explanation:

Given

[tex]n =30[/tex]

Required

Probability of selecting 2 toys of different types

From the question, we understand that all toys are different i.e. 1 of each type.

And the selection is without replacement;

So, after the first toy is selected; there are n - 1 toys left.

So, the probability is:

[tex]Pr = \frac{1}{n} * \frac{1}{n - 1}[/tex]

Substitute [tex]n =30[/tex]

[tex]Pr = \frac{1}{30} * \frac{1}{30- 1}[/tex]

[tex]Pr = \frac{1}{30} * \frac{1}{29}[/tex]

[tex]Pr = \frac{1}{30*29}[/tex]

[tex]Pr = \frac{1}{870}[/tex]

Answer:

81 in

Step-by-step explanation:

diameter is radius squared

9 × 9 = 81

Answer:

b is correct

Step-by-step explanation:

Answer: 3x=3

Step-by-step explanation: Let's divide this into parts--

1. Adding the x variables: -2x+5x or 5x-2x = 3x.

2. Adding the y variables: y-y or -y+y = 0. (The negative and the positive y cancel each other out.)

3. Adding the numbers: 8-5 or -5+8 = 3.

Now just put it back into an equation: 3x + 0 = 3.

We don't need to add the 0, so the equation changes into 3x = 3.

Answer:

Step-by-step explanation:

No, -0.25 represents a weak to moderate negative correlation.  On the other hand, -0.87 would represent a strong negative correlation.

Answer:

y = -2

Step-by-step explanation:

SOLUTION :-

Solve the equation.

[tex]=> y - 8 + 8 = -10 + 8[/tex]

[tex]=> y = -2[/tex]

∴ y = -2

VERIFICATION :-

To verify the solution of y , just put the solution (y = -2) in place of y in equation and check whether L.H.S = R.H.S.

L.H.S :-

-2 - 8 = -10

R.H.S. :-

-10 (already given)

⇒L.H.S. = R.H.S. (verified)

Answer:

[tex]volume = 10\pi m^3[/tex]

Step-by-step explanation:

Volume of a prism = Base Area x height

Base is a quarter of a circle.

              [tex]Area \ of \ circle = \pi r^2\\\\r = 2m\\\\Area \ of \ quarter \ of \ a \ circle = \frac{1}{4} \pi r^2 = \frac{1}{4}\pi \times 4 = \pi m^2[/tex]

Base Area = π square meters.

Therefore ,

          [tex]Volume = Base Area \times height = \pi \times 10 = 10\pi m^3[/tex]

Answer:

100

Step-by-step explanation:

because 1 x 100 = 100