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beks73 [17]
3 years ago
5

Please answer question 43

Mathematics
2 answers:
snow_tiger [21]3 years ago
4 0
The probability of a senior’s name being drawn is 800/1850
Deffense [45]3 years ago
4 0

Multiply each senior by 4, junior by 3, and so on. You will get:

Senior - 800

Junior - 450

Sophomore - 400

Freshman - 150

This is the number of times each grade is in the drawing. Add them up, and you will get 1800.

To get the senior probability, you do 800/1800, which is simplified to 4/9.

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If g(x) = 3 - 2x, find g(-1).<br> A. -5<br> B. 5<br> C. 0<br> D. 6
zheka24 [161]

Answer:

g(-1)=5

Step-by-step explanation:

Put value of x, which is - 1

g(x) = 3 - 2x \\ g( - 1) = 3 - 2( - 1) \\ g( - 1) = 3 + 2 \\ g( - 1) = 5

3 0
2 years ago
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A factory used 314. 61 kg of tomatoes to make nine batches of pasta sauce to the nearest 10th of a kilogram what quantity of tom
MatroZZZ [7]

Answer:

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Step-by-step explanation:

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2 years ago
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The entire rectangle below has an area of .
Nastasia [14]

Answer:

Hence the required ans. Is 24cm2.

Step-by-step explanation:

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5 0
3 years ago
3. What are the intersection points of the line whose equation is y=3x +3 and the
densk [106]

Answer:

Points of intersection of these graphs are (-2, -3) and (0.6, 4.8).

Step-by-step explanation:

Equation of the circle → (x - 2)² + y² = 25 ---------(1)

                                   → (x - 2)² + (y - 0)² = 5²

By comparing this equation with the standard equation of the circle,

(x - a)² + (y - b)²= r²

Here (a, b) is the center and r is the radius of the circle.

Therefore, center of the circle is (2, 0) and radius = 5 units

Second equation is a linear equation → y = 3x + 3 -------(2)

x-intercept of the equation → x = -1

y-intercept of the equation → y = 3

By graphing these equations we can get the point of intersections.

Solving these equations algebraically,

Substitute the value of y from equation (2) in the equation (1),

(x - 2)² + (3x + 3)² = 25

x² - 4x + 4 + 9x² + 18x + 9 = 25

10x² + 14x - 12 = 0

5x² + 7x - 6 = 0

x = \frac{-7\pm \sqrt{7^2-4(5)(-6)}}{2(5)}

x = \frac{-7\pm \sqrt{169}}{10}

x = \frac{-7\pm13}{10}

x = -2, 0.6

From equation (2),

y = -3, 4.8

Therefore, points of intersection of these graphs are (-2, -3) and (0.6, 4.8).

6 0
3 years ago
The vertices of triangle ABC are A(5,2), B(-1,-6) and C(1,5). If Triangle DEF is similar to Triangle ABC and AB/DE=5, what could
astraxan [27]

Answer:

D(-5,3) and E(-5,1)

Step-by-step explanation:

|AB|² = (-1-5)² + (-6-2)²

|AB|² = 36 + 64

|AB|² = 100

|AB| = 10

AB/DE = 5

|DE| = 10/5 = 2

D(-5,3) and E(-5,1)

|DE|² = (-5+5)² + (3-1)²

|DE|² = 4

|DE| = 2

Verified

5 0
3 years ago
Read 2 more answers
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