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kogti [31]
3 years ago
15

If there are 45 guests at the party, predict how many would choose a gift card?

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
4 0

Answer:

Since there is a 50-50 chance of a person at the party choosing a gift card, and since there can only be 1 of 2 outcomes, we can assume that there will either be more people choosing a gift card than not, or there will be more people not choosing a gift card than are. So, that means that there would be 23 people (more or less) choosing a gift card and 22 people (more or less) not choosing a gift card or vice-versa.

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Help very appreciated :)​
bulgar [2K]

Answer:

x = 2.03 cm

Step-by-step explanation:

opposite/hypotenuse = siny

opposite, x = sin(72) * 8

opposite, x = 2.03 cm

5 0
3 years ago
Solve the following equation 8x+8=56
hoa [83]

Answer:

x=6

Step-by-step explanation:

5 0
3 years ago
Give a third degree polynomial that has zeros of 13, 5i, and −5i, and has a value of −680 when x=3. Write the polynomial in stan
Vikki [24]

Answer:

\dfrac{17x^3-221x^2+425x-5525}{9}\\

Step-by-step explanation:

hello

we need to find something like, a being real

a(x-13)(x-5i)(x+5i)

with a so that

a(3-13)(3-5i)(3+5i)=-680\\\\a(-10)(3^2-(5i)^2)= -10(9+25)a=-360a=-680\\ a = \dfrac{680}{360}=\dfrac{17*40}{9*40}=\dfrac{17}{9}

so the third degree polynomial that we are looking for is

\dfrac{17}{9}(x-13)(x-5i)(x+5i)\\=\dfrac{17}{9}(x-13)(x^2+25)\\\\=\dfrac{17}{9}(x^3+25x-13x^2-13*25)\\\\\\=\dfrac{17}{9}(x^3-13x^2+25x-325)\\\\\\\\=\dfrac{17}{9}x^3-\dfrac{17*13}{9}x^2+\dfrac{17*25}{9}x-\dfrac{17*325}{9}\\=\dfrac{17}{9}x^3-\dfrac{221}{9}x^2+\dfrac{425}{9}x-\dfrac{5525}{9}\\

hope this helps

3 0
4 years ago
What is the measurement of this angle
olga nikolaevna [1]

Answer:

15

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Divya spends all of her free time playing with her building blocks. She owns building block sets with 333 pieces, 555 pieces, an
DiKsa [7]

Answer:

  5 sets

Step-by-step explanation:

The average number of pieces per set is the ratio of the total number of pieces to the total number of sets.

Let x represent the number of 3-piece sets. Then the total number of pieces is ...

  3x +5(5) +10(2) = 3x +45

The total number of sets is ...

  x +5 +2 = x +7

We want the ratio of these numbers to be 5 pieces per set:

  (3x +45)/(x +7) = 5

  3x +45 = 5x +35 . . . . . multiply by (x+7)

  10 = 2x . . . . . . . . . . subtract (3x+35)

  5 = x . . . . . . . . . divide by 2

Divya owns 5 sets with 3 pieces.

_____

<em>Alternate solution</em>

Each 10-piece set has 5 more pieces than average, so the two of them total 10 more pieces than average.

Each 3-piece set has 2 fewer pieces than average. The total number of 3-piece sets must have a total of 10 fewer pieces than average in order to balance the excess of the 10-piece sets. That is, there must be 10/2 = 5 of the 3-piece sets to have a total lof 10 fewer pieces than average.

Altogether, the differences from average must total zero.

5 0
3 years ago
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