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Veseljchak
4 days ago
15

In the drawing, six out of every 10 tickets are winning tickets. Of the winning tickets, 1 out of every three awards is a larger

prize. What is the probability that a ticket that is randomly chosen will award a larger prize?
Mathematics
2 answers:
zzz [9K]4 days ago
6 0
Answer: Step-by-step explanation: Provided: Six out of every 10 tickets are winning tickets. Among the winning tickets, one out of three grants a larger prize. To solve: Since we consider 10 tickets drawn, 6 are winning ones. All six winning tickets will receive prizes. Out of three prizes, one is a larger prize, which gives a total of six prizes available. Therefore, there are 2 larger prizes out of the 6 winning tickets. Thus, among the 10 tickets, the count of larger prizes is 2. Hence, the probability that a randomly chosen ticket will yield a larger prize is.
babunello [8.4K]4 days ago
5 0
The answer is 1/5; I hope this information is useful.                                                                
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The steps to derive the quadratic formula are shown below: Step 1 ax2 + bx + c = 0 Step 2 ax2 + bx = − c Step 3 x2 + b over a ti
PIT_PIT [9117]

Answer:

x + \frac{b}{2a} = \frac{+/ - \sqrt{b^2-4ac} }{2a}

Step-by-step explanation:

Step 1:

ax^2+bx+c = 0

Step 2:

ax^2+bx = -c

Step 3:

\frac{ax^2+bx}{a} = \frac{-c}{a}

Step 4:

To complete the square, add \frac{b^2}{4a^2} to both sides.

x^2 + \frac{bx}{a} + \frac{b^2}{4a^2} = \frac{-c}{a} + \frac{b^2}{4a^2}

Step 5:

x^2 + \frac{bx}{a} + \frac{b^2}{4a^2} = \frac{-4ac+b^2}{4a^2}

Step 6:

Taking square roots on both sides.

x + \frac{b}{2a} = \frac{+/ - \sqrt{b^2-4ac} }{2a}

3 0
23 days ago
Which is an x-intercept of the continuous function in the table?
tester [8842]

Answer:

B. (3, 0)

Step-by-step explanation:

The x-intercept signifies the location on the graph where it intersects the x-axis.

At the x-intercept, y=0 or f(x)=0.

Therefore, you need to examine the table for the instance where f(x)=0.

The value f(x)=0 is found at x=3 in the table.

We express this as an ordered pair.

Hence, the x-intercept is (3,0).

The right option is B.

7 0
1 month ago
Read 2 more answers
Brenda is cooking couscous. The recipe says she requires 480 grams of couscous for 4 people. How many will she need for 14?
AnnZ [9099]
1,680 grams

To determine this, we can set up a proportion as follows:

grams/people=grams/people

The recipe requires 480 grams for 4 individuals and we need to find how many grams (x) are necessary for 14 individuals.

480 grams/4 people=x grams/14

480/4=x/14

Now, let's isolate x, the grams necessary for 14 people. Currently, x is divided by 14, so we will multiply both sides by 14 as multiplication is the inverse of division.

14(480/4)=(x/14)14

14(480/4)=x

14*120=x

1680=x

Thus, she requires 1,680 grams of couscous to serve 14 individuals.

8 0
10 days ago
Water is poured into a conical paper cup at the rate of 3/2 in3/sec (similar to Example 4 in Section 3.7). If the cup is 6 inche
tester [8842]

Response:

The height of the water when it reaches 4 inches is \frac{3}{8\times \pi} inch/s.

Detailed Explanation:

Flow rate of water from the cone = R=\frac{3}{2} inch^3/s

Height of the cup = h = 6 inches

Radius of the cup = r = 3 inches

\frac{r}{h}=\frac{3 inch}{6 inch}=\frac{1}{2}

r = h/2

Volume of the cone = V=\frac{1}{3}\pi r^2h

V=\frac{1}{3}\pi r^2h

\frac{dV}{dt}=\frac{d(\frac{1}{3}\pi r^2h)}{dt}

\frac{dV}{dt}=\frac{d(\frac{1}{3}\pi (\frac{h}{2})^2h)}{dt}

\frac{dV}{dt}=\frac{1}{3\times 4}\pi \times \frac{d(h^3)}{dt}

\frac{dV}{dt}=\frac{1\pi }{12}\times 3h^2\times \frac{dh}{dt}

\frac{3}{2} inch^3/s=\frac{1\pi }{12}\times 3h^2\times \frac{dh}{dt}

h = 4 inches

\frac{3}{2} inch^3/s=\frac{1\pi }{12}\times 3\times (4inches )^2\times \frac{dh}{dt}

\frac{3}{2} inch^3/s=\pi\times 4\times \frac{dh}{dt} inches^2

\frac{dh}{dt}=\frac{3}{8\times \pi} inch/s

The height of the water when it is 4 inches deep is \frac{3}{8\times \pi} inch/s.

6 0
1 month ago
What plane contains points E, F, and H?
PIT_PIT [9117]
B, the points E, F, and H are located at the bottom of the figure.
3 0
16 days ago
Read 2 more answers
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