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arlik [135]
3 years ago
11

4.

Mathematics
1 answer:
Alenkasestr [34]3 years ago
7 0

Answer:

$320,000

Step-by-step explanation:

70%/100%=224,000/X

(224,000*100)/70=320,000

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Mr. Harrow has eight boys and six girls in his Honors Pre-calculus class. If he randomly chooses two students, one at a time, wh
Sergeu [11.5K]

Answer: 15/91 which is choice B

=================================================================

There are two methods to find this answer.

Method 1) We have 6 girls and 8+6 = 14 students. The probability of picking a girl is 6/14 = 3/7. After the first girl is chosen, we have 5 girls left out of 14-1 = 13 students overall. The probability of picking another girl (assuming the first selection was a girl) is 5/13. Multiply these probabilities: (3/7)*(5/13) = (3*5)/(7*13) = 15/91

--------------------

Method 2) We can use the nCr combination formula. Order does not matter.

We have nCr = 6 C 2 = 15 ways to pick 2 girls. See the attached image below for the steps (figure 1)

Out of nCr = 14 C 2 = 91 ways to pick 2 students. See the attached image below for the steps (figure 2)

So that's another way to get the answer 15/91.

5 0
3 years ago
Read 2 more answers
Write an equation of a line in slope-intercept form given the slope (m) and the y- intercept (b), slope, m= -4/7 y-intercept b =
Leno4ka [110]
The answer is y=-4/7x+7. You simply substitute in the given numbers. -4/7 for the slope (m) and 7 for the y-intercept (b). 
4 0
3 years ago
Find the arc length of a 80° slice of a large 15 in. radius pizza.
Sedaia [141]

Answer:

  • 20.93 in

Step-by-step explanation:

<u>Arc length formula:</u>

  • s = 2 π r (θ/360°)

<u>Substitute values:</u>

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5 0
3 years ago
calculate the unit rate of change for each linear function using the formula. (4,9) (8,12) (16,18) (32,30)
jenyasd209 [6]

Answer:

The unit rate of change is of \frac{3}{4}

Step-by-step explanation:

We are given a set of points (x,y).

To find the unit rate of change, we take two points, and divide the change in y by the change in x.

Points (4,9) and (8,12)

Change in y: 12 - 9 = 3

Change in x: 8 - 4 = 4

Unit rate of change: \frac{3}{4}

7 0
3 years ago
A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, i
Cerrena [4.2K]

Answer:

a.2s b.43.6m

Step-by-step explanation:

h(t)=−4.9t2+19.6t+24

24m = inittial possition

-4.9 t2= -1/2 g t2

19.6t=  Vo t

as the initial velocity is positive, the ball is thrown up.

the maximum height of the ball is reached when the velocity is 0

V= Vo-gt=19.6m/s-9.8m/s2 t=0

t=19.6/9.8=2s

<u>it takes 2seconds for the ball to reach its maximum height</u>

h(t)=−4.9t2+19.6t+24

h(2)=-19.6m+39.2m+24=43.6m

<u>the maximum height of the ball is 43.6m</u>

5 0
3 years ago
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