Which of the data sets below has a median of 16? Select all that apply.

A) 19, 4, 23, 16, 9
B) 19, 13, 15, 18, 10
C) 15, 24, 17, 12, 22, 11
D) 9, 17, 16, 12, 19, 21

Answer:

y = 3x^2 + 6x + 1

Step-by-step explanation:

We're given two points on the graph:  (-1, -2) and (0, 1).  

The pertinent equation is

y=ax^2+bx+c, but the vertex form would also be useful:  y - k = a(x - h)^2.

Note that this parabola opens up, and that the minimum point is also the vertex:  (-1, -2).

The vertex is (-1, -2), and so:  y + 2 = a(x + 1)^2, and

the graph goes through (0, 1), so we can rewrite y + 2 = a(x + 1)^2 as

1 + 2 = a(0 + 1)^2, or:

  3 = a(1)

So now we know that a = 3 and that the equation of this parabola in vertex form is y + 2 = 3(x + 1)^2

Lastly we must put the above result into standard form.  To do this, perform the indicated multiplication.

y + 2 = 3(x^2 + 2x + 1) = 3x^2 + 6x + 3

Writing y on the left and all the rest on the right, we get

y = 3x^2 + 6x + 1

Answer:

Have a great rest of ur day :)

Step-by-step explanation:

Answer:

Graph C

Step-by-step explanation:

Answer:

x = 4.5

Step-by-step explanation:

Since the perimeters are equal , then the equation relating them is

2x + 3 + 2x - 3 + x = x + 3 + x + 3 + x + 3 , that is

5x = 3x + 9 ( subtract 3x from both sides )

2x = 9 ( divide both sides by 2 )

x = 4.5

Answer:

x+10=45

x+10-45=0

x-35=0

x=35

Answer:

Future Value = $ 12528.15

Step-by-step explanation:

The depreciation is applied to the car annually. The value of the car after depreciation in "n" no. of years can be given by the following formula:

[tex]Future\ Value = (Present\ Value)(1-depreciation\ rate)^n\\[/tex]

where,

Future Value = ?

Present Value = $ 24000

Depreciation Rate = 15% = 0.15

n = no. of years = 4

Therefore,

[tex]Future\ Value = (\$ 24000)(1-0.15)^4[/tex]

Future Value = $ 12528.15

Answer:

Step-by-step explanation:

10 games, 8 rides

Answer:

$81.92

Step-by-step explanation:

Week 1:

250 * 20% = 50

250 - 50 = 200

Week 2:

200 * 20% = 40

200 - 40 = 160

Week 3:

160 * 20% = 32

160 - 32 = 128

Week 4:

128 * 20% = 25.6

128 - 25.6 = 102.4

Week 5:

102.4 * 20% = 20.48

102.4 - 20.48 = 81.92

Answer:

37(.3)

Step-by-step explanation:

13/40 × 115=37.375 members or 37 members workout more than 4 times per week

Answer:

this is the answer in the image above

Answer:

look attachment

Answer: 12

Step-by-step explanation:

Since Duane has 30 pairs of socks in a drawer and he has 6 matched pairs and the rest are of the socks are mismatched, the number if mismatched socks will be:

= 30 - 6

= 24 mismatched socks

Since he packed 1/2 of his mismatched pairs in his duffle bag for a week at summer camp, therefore, the number of socks he packed will be:

= 1/2 × 24

= 12

Therefore, he packed 12 socks for summer camp.

Answer:

4-3=1

8+9=17

7 x 2= 14

Step-by-step explanation:

Answer:

1

17

14

Step-by-step explanation:

4 + -3 = 1

8 - -9=17

14/2=7

Answer:

yep

Step-by-step explanation:

nice

Answer:

Step-by-step explanation:

This is terminated after 4 places of decimal

Answer:

Step-by-step explanation:

In the decimal expansion of a rational number, the general rule is that if the denominator is of the form 2^m*5^n, then it will terminate after n places if n>m or m places if m>n.

In this case, 4 > 3 so the expansion will terminate after 4 decimal places.

9514 1404 393

Answer:

Step-by-step explanation:

The slant height (s) is the hypotenuse of the right triangle with legs of 2 cm and 0.5 cm.

  s^2 = 2^2 + 0.5^2 = 4 + 0.25

  s = √4.25 ≈ 2.0616 ≈ 2.1

The slant height is about 2.1 cm.

__

The surface area of the whole pencil is the sum of the areas of the circular base, the lateral area of the cylindrical part, and the lateral area of the cone.

  A = πr^2 +2πrh +πrs

  A = πr(r +2h +s) = (3.14)(0.5 cm)(0.5 cm + 2×15 cm + 2.1 cm)

  A ≈ 51.12 cm^2

The area of the whole pencil is about 51.12 cm^2.

Answer:

non-proportional

Step-by-step explanation:

Answer:164.9

Step-by-step explanation:d=m/v

V=m/d

V=453.5/2.75

V=164.9

Answer:

51.2feet

Step-by-step explanation:

Given;

Horizontal distance = 40feet (Adjacent)

Angle of elevation = 52 degrees

Required

Height of the pole H (Opposite)

Using the SOH CAH TOA identity

Tan theta = opp/adj

Tan 52 = H/40

H = 40tan 52

H = 40(1.2799)

H = 51.2 feet

Hence height, h, of the flagpole to the nearest tenth is 51.2feet

Answer:

All except B.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

po keep on learning keep safe

Answer:

98

Step-by-step explanation:

i am smart

Given:

Slips of paper numbered 1 to 15 are placed in a box.

To find:

The probability that the number picked is either a multiple of 5 or an odd number.

Solution:

We have,

Total outcomes = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

No. of total outcomes = 15

Multiple of 5 are 5, 10, 15.

Odd numbers are 1, 3, 5, 7, 9, 11, 13, 15.

Number that are either a multiple of 5 or an odd number are 1, 3, 5, 7, 9, 10, 11, 13, 15.

No. of favorable outcomes = 9

We know that,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Probability}=\dfrac{9}{15}[/tex]

[tex]\text{Probability}=\dfrac{3}{5}[/tex]

[tex]\text{Probability}=0.6[/tex]

Therefore, the  probability that the number picked is either a multiple of 5 or an odd number is 0.6.

Answer:A snow day occurs when school is canceled for the day because of bad winter weather. The box below shows the number of snow days at Andrew's school during each of the past six winters.

Step-by-step explanation:

Answer:

∠ 1 = 72°

Step-by-step explanation:

(4n - 2) and (2n + 17) are adjacent angles and sum to 180° , that is

4n - 2 + 2n + 17 = 180

6n + 15 = 180 ( subtract 15 from both sides )

6n = 165 ( divide both sides by 6 )

n = 27.5

Then

2n + 17 = 2(27.5) + 17 = 55 + 17 = 72

∠ 1 and 2n + 17 are vertical angles and congruent , so

∠ 1 = 72°

Answer:

28,882.87

Step-by-step explanation:

 20,157.50

+   8,725.37

  28,882.87

Answer:

28,882.87

Step-by-step explanation:

       1

20,157.5

+ 8,725.37

28,882.87

Respuesta:

8

Explicación paso a paso:

Si A, B y C son números enteros, según la propiedad distributiva;

A (B + C) = AB + AC

tenga en cuenta que A se distribuyó sobre B y C

Aplicando esto para expandir la expresión dada -4. (-5 + 3)

-4. (-5 + 3)

= -4 (-5) + -4 (3)

= 20 + (-12)

= 20 - 12

= 8

Por lo tanto, la respuesta requerida es 8

Answer:

False

Step-by-step explanation:

The coefficients (numbers in front) don't matter, but the exponents do.

Like terms have exactly the same exponents on the same variables.

[tex]54x^2y^3\text{ and }-12x^3y^2[/tex] are not like terms.

Example: [tex]6x^3y^2\text{ and }-14x^3y^2[/tex] are like terms--same exponents on the x's, same exponents on the y's.

Answer:

False

Step-by-step explanation:

two like therms have the same literal part. This is not the case because

x^3 is different from x^2 (for example if x = 2 ; 8 is not 4)

y^3 is different from y^2

Answer:

There are two possible outcomes when flipping a coin. The theoretical probability that you will get "heads" when flipping a coin is 50%. If you, for example, got 26 tails and 24 heads, then the experimental probability of getting heads is 48%.

Step-by-step explanation:

There are two outcomes - heads or tails. In theory, you have a 50% chance of getting heads because half the time you should get heads, and the other half you should get tails. If you actually flipped a coin fifty times, there's a good chance it would not actually be 50/50. In the example, I flipped a coin fifty times and got tails 26 times and heads 24 times. Since we flipped it fifty times, we just have to double these numbers to figure out the percentage (because then it will be like I flipped it one hundred times, to make 100%). 26 × 2 = 52 and 24 × 2 = 48. So when I actually experimented, there was a 52% chance of me getting tails and 48% chance of me getting heads.

Answer:

I) ∠CAB measures 60°.

II) BC measures approximately 15.23 cm.

*Please read notes.

Step-by-step explanation:

We are given ΔABC, where AB measures 10√3 cm, AC measures 6 cm, and the triangle has an area of 45 square cm.

And we want to find I) the measure of ∠CAB and II) the length of BC.

I) First, we should always draw a representative triangle so we can determine the sides and angles. This is shown below.

Note that ∠CAB (or simply ∠A) is the angle between the two sides. Thus, we can find the angle by using the alternative formula for the area of a triangle:

[tex]\displaystyle A=\frac{1}{2}ab\sin(C)[/tex]

Where a and b are two side lengths, and C is the angle between the two sides.

Substitute:

[tex]\displaystyle 45=\frac{1}{2}(10\sqrt{3})(6)\sin(A)[/tex]

Simplify:

[tex]\displaystyle 45=30\sqrt{3}\sin(A)[/tex]

So:

[tex]\displaystyle \sin(A)=\frac{45}{30\sqrt{3}}=\frac{3}{2\sqrt3}=\frac{\sqrt{3}}{2}[/tex]

Take the inverse sine of both sides. Use a calculator. Thus:

[tex]\displaystyle m\angle A=\sin^{-1}\left(\frac{\sqrt{3}}{2}\right)=60^\circ[/tex]

II) To find BC, we will use the Law of Cosines. We do not know whether or not ΔABC is a right triangle, so we cannot use right triangle trigonometry or special right triangles.

The law of cosines is:

[tex]\displaystyle c^2=a^2+b^2-2ab\cos(C)[/tex]

Where a and b are side lengths and C is the angle between the side lengths. c is the side length opposite to the angle.

BC is opposite to A. Substitute:

[tex](BC)^2=(10\sqrt{3})^2+(6)^2-2(10\sqrt{3})(6)\cos(60^\circ)[/tex]

Simplify:

[tex]\displaystyle BC^2=336-120\sqrt{3}\left(\frac{1}{2}\right)=336-60\sqrt{3}[/tex]

Take the square root of both sides:

[tex]\displaystyle BC=\sqrt{336-60\sqrt{3}}\approx 15.23[/tex]

BC measures about 15.23 cm.

Notes:

In this case, the inverse sine of √3/2 will yield two answers: 60° and 120°. This is an example of an ambiguous case. Both of these angles will work. However, BC will be different. If ∠A is 60°, then BC is about 15.23. However, if ∠A is 120°, then BC is about 20.97. Both will result in the triangle having an area of 45 square cm, as well as AB measuring 10√3 and AC measuring 6.