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EleoNora [17]
3 years ago
12

The names of 11 boys and 9 girls from your class are put into a hat. What is the probability that the first two names chosen wil

l both be girls?
Show work please and Thanks
Mathematics
1 answer:
Anarel [89]3 years ago
4 0

Answer:

18/95

Step-by-step explanation:

There are a total of 20 names, 9 of which are girl names.

The probability that the first name is a girl name is 9/20.

Since there's one less girl name in the hat, there are now a total of 19 names, 8 of which are girl names.  So the probability that the second name is a girl name is 8/19.

The total probability is (9/20) (8/19) = 18/95.

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2.1.39 Tom makes $167.70 in 3 days. How much does he make in 2 days? Tom makes s in 2 days.
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Answer: He makes $111.80 in 2 days.

Step-by-step explanation:

Since we have given that

Amount he makes in 3 days = $167.70

Number of days = 3

We need to find the amount he makes in 2 days.

We will use "Unitary method" to find the amount s in 2 days.

In 3 days , amount = $167.70

In 1 day, amount is given by

\dfrac{167.70}{3}=\$55.9

In 2 days, amount is given by

s=55.9\times 2\\\\s=\$111.80

Hence, he makes $111.80 in 2 days.

7 0
3 years ago
Hannah completed 40 problems in 32 minutes.<br> I have to put it in a unit rate pls help
il63 [147K]

Answer: 1.25 problems/min

32 minutes --> 40 problems

1 minute --> 40/32

                --> 1.25

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3 years ago
A boat can travel 140 miles on 14 gallons of gasoline. How much gasoline will it need to go 180 miles
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5 0
3 years ago
PLEASE HELP!!!!!!!!!!
Rashid [163]

9514 1404 393

Answer:

  (2x -3)(2x -1)

Step-by-step explanation:

We have filled in the X-diagram so the side values have a product equal to the top value, and a sum equal to the bottom values (the middle term).

We're not sure how you've been taught to split the leading coefficient to arrive at the factors shown on the right.

3 0
3 years ago
What are the coordinates of the vertex of the parabola represent by the equation y=-5x^2+30x-25
Jobisdone [24]

Answer:

The coordinate of the  vertex of the parabola is (h,k) =  (3,20)

Step-by-step explanation:

The given equation of the parabola is y=-5x^2+30x-25

Now, the General Parabolic Equation is of the form:

y = a (x-h)^2 + k, then the vertex is the point (h, k).

Now, to covert the given equation in the standard form:

y=-5x^2+30x-25   = -5(x^2  -6x   + 5)

Using the COMPLETE THE SQUARE METHOD,

-5(x^2  -6x   + 5)  = -5(x^2  -6x  +  (3)^2 +  5  - (3)^2)\\\implies -5(((x^2  -6x +(3)^2)  + 5 - 9)\\= -5((x-3)^3 -4)\\= -5(x-3)^2 + 20

ory = -5(x-3)^2 + 20

⇒The general formed equation of the given parabola is

y  = -5(x-3)^2 + 20

Comparing this with general form, we get

h = 3, k = 20

Hence, the coordinate of the  vertex of the parabola is (h,k) =  (3,20)

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4 years ago
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