All categories

2 years ago

The only soft-drink flavours available at a party were cola and

Mathematics

1 answer:

vredina [299]2 years ago

3 0

The number of guests that were at the party is 26. This was illustrated in the probability.

<h3>How to compute the probability?</h3>

From the information, it was stated that twenty six soft-drinks were consumed. Therefore, it implies that there were 26 people.

From the information, 9 guests had raspberry and 13 had cola while the remaining was shared equally. Therefore, the raspberry consumed will be 11 and 15 cola were drank.

The probability that a randomly chosen party guest had a cola drink will be:

= 15/26

The probability that a randomly chosen party guest had a raspberry drink will be:

= 11/26

The probability of the people who had both a raspberry and cola drink will be 0 since everyone had different drinks.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

You might be interested in

which of the following is the missing reason? Statements Reasons three halves times x plus 5 equals negative 4 Given 3x + 10 = −

den301095 [7]

Answer:

The missing reason is Subtraction Property of Equality.

Step-by-step explanation:

$\frac{3}{2}x+5=-4$ ⇒ (Given)

On Solving we get;

Multiplying 2 on both side we get;

$2(\frac{3}{2}x+5)=-4\times2\\\\2\times \frac{3}{2}x+5\times 2=-4\times 2$

$3x+10=-8$ ⇒ (Multiplication Property of Equality)

Now Subtracting Both side by 10 we get;

$3x+10-10=-8-10$

$3x = -18$ ⇒ (Subtraction Property of Equality)

Now Dividing both side by 3 we get;

$\frac{3x}{3} = \frac{-18}{3}$

$x=-6$ ⇒ (Division Property of Equality)

Hence the missing reason is Subtraction Property of Equality.

8 0

3 years ago

Read 2 more answers

Evaluate.<br><br><br> 17 + 330 • 20 ÷ 102 ÷ 2 – 14

astra-53 [7]

The answer is <span>35.35294</span>

6 0

3 years ago

Read 2 more answers

The function f(x) = 2x2 + 6x - 12 has a domain consisting of the integers from -2 to 1, inclusive. Which set represents the corr

Dimas [21]

Answer:

[-16,-4]

Step-by-step explanation:

We are given that

$f(x)=2x^2+6x-12$

Domain=[-2,1]

We have to find the set of range values of f(x).

Substitute x=-2

$f(-2)=2(-2)^2+6(-2)-12$

$f(-2)=-16$

Substitute x=1

$f(1)=2(1)+6(1)-12=-4$

Range of f(x)=[-16,-4]

Hence, the set of range values of f(x)

[-16,-4]

7 0

3 years ago

It is exponent laws,can you go step by step plz because I don't get it

Evgen [1.6K]

Remember
(x^m)^n=x^(mn)
and
(x^m)(x^n)=x^(m+n)
and
(x^m)/(x^n)=x^(m-n)

so

(4^2)^3=4^(2*3)=4^6
notice
4^6=(2^2)^6=2^2*6)=2^12

(4/2)^3=2^3

on top we have
(2^12)(2^3)(2^3)=2^(12+3+3)=2^18

on bottom
8^3
conver to base 2
(2^3)^3=2^(3*3)=2^9

now we have
(2^18)/(2^9)=2^(18-9)=2^9

6 0

3 years ago

Find the vertices and foci of the hyperbola with equation quantity x plus 4 squared divided by 9 minus the quantity of y minus 5

My name is Ann [436]

Answer:

Vertices at (-7, 5) and (-1, 5).

Foci at (-9, 5) and (1,5).

Step-by-step explanation:

(x + 4)²/9 - (y - 5)²/16 = 1

The standard form for the equation of a hyperbola with centre (h, k) is

(x - h²)/a² - (y - k)²/b² = 1

Your hyperbola opens left/right, because it is of the form x - y.

Comparing terms, we find that

h = -4, k = 5, a = 3, y = 4

In the general equation, the coordinates of the vertices are at (h ± a, k).

Thus, the vertices of your parabola are at (-7, 5) and (-1, 5).

The foci are at a distance c from the centre, with coordinates (h ± c, k), where c² = a² + b².

c² = 9 + 16 = 25, so c = 5.

The coordinates of the foci are (-9, 5) and (1, 5).

The Figure below shows the graph of the hyperbola with its vertices and foci.

6 0

3 years ago