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timama [110]
4 years ago
8

in a student survey the probability that a student chooses red as his or her favorite color is 3/8 if 120 students are surveyed

how many are likely to choose red as a favorite color
Mathematics
1 answer:
VLD [36.1K]4 years ago
4 0

\frac{3}{8}  \times  \frac{120}{1}

\frac{ 3}{2}  \times  \frac{30}{1}

\frac{3}{1}  \times  \frac{15}{1}

\frac{3 \times 15}{1}

45

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Maria took out an unsubsidized Stafford loan of $6,925 to pay for college. She plans to graduate in 4 years. The loan had a dura
Finger [1]

Answer:

$144.70

Step-by-step explanation:

Calculation to determine how much greater will the amount of interest capitalized be than the minimum amount that she could pay to prevent interest capitalization

First step is to determine the Interest only monthly repayments

Using this formula

I=Prt

where,

P=$6925

r=0.05/1

t=1

Let plug in the formula

I=6925*0.05/12

I= $28.854166666

Second step is to determine the amount she will owe after 4 years

Using this formula

S=P(1+r)n

Let plug in the formula

S=6925*(1+0.05/12)4*12

S=6925*(1+0.05/12)48

S=$8454.70

Third step is to determine the Interest part

Interest =8454.70 - 6925

Interest = $1529.70

Now let determine the how much greater will the amount of interest capitalized be

Interest capitalized=1529.70 - 1385.00

Interest capitalized =$144.70

Therefore how much greater will the amount of interest capitalized be than the minimum amount that she could pay to prevent interest capitalization is $144.70

4 0
3 years ago
A right angled triangle has sides of length 9cm, 12cm and 15cm. Calculate its area in square centimetres.
Dmitriy789 [7]

The area of a right angled triangle with sides of length 9cm, 12cm and 15cm in square centimeters is 54 sq cm.

The formula to calculate the area of a right triangle is given by:

Area of Right Triangle, A = (½) × b × h square units

Where, “b” is the base (adjacent side) and “h” is the height (perpendicular side). Hence, the area of the right triangle is the product of base and height and then divide the product by 2.

We know that the hypotenuse is the longest side. So, the area of a right angled triangle will be half of the product of the remaining two sides.

Given sides of the triangle:

a=9cm

b=12cm

c=15cm

From this we know that the hypotenuse is c. Are of the triangle will be obtained by the other two sides.

∴Area = \frac{1}{2} x 9 x 12

= 54cm^{2}

5 0
1 year ago
4x+2y=-24<br> -4x+y = 12
allsm [11]

Answer:

Step-by-step explanation:

                                4x+2y = -24    -------------(i)

                              <u>  -4x+y =  12    -</u>------------(ii)

add (i) &(ii)                      3y = -12

                                         y = -12/3

                                         y = -4

Put y = (-4) in (i)

4x + 2*(-4) = -24

4x - 8 = -24

4x = -24 + 8

4x = -16

x = -16/4

x = -4

6 0
3 years ago
Remove the brackets and simplfy 5-(6a -3b -8)​
galina1969 [7]

Answer:

−6a+3b+13

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A line with a slope of -2 is written in the form y=mx+b.
yanalaym [24]

Answer:

b = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - 2 , then

y = - 2x + b ← is the partial equation

To find b substitute (5, - 7 ) into the partial equation

- 7 = - 10 + b ⇒ b = - 7 + 10 = 3

5 0
3 years ago
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