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3 years ago

Helppp 100pts

Mathematics

1 answer:

frosja888 [35]3 years ago

8 0

Answer:

.83

Step-by-step explanation:

If you take 100 shows 60 shows got favorable response and in that 50 shows were successful.

So probability for a show to be successful if it got a favorable response is = 50/60 = 0.83

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Investment of $2000 at 10% simple interest for 9 years

Oliga [24]

Answer:

The last investment (C) has the least interest of $600

The other two investments (A and B) have the same amount of interest of $1800.

Step-by-step explanation:

Simple Interest Formula

I = Prt

where:

I = interest earned
P = principal
r = interest rate (in decimal form)
t = time (in years)

Investment A

P = $2000
r = 10% = 0.1
t = 9 years

Substitute the given values into the formula and solve for I:

⇒ I = 2000(0.1)(9)

⇒ I = $1800

Investment B

P = $3000
r = 3% = 0.03
t = 20 years

Substitute the given values into the formula and solve for I:

⇒ I = 3000(0.03)(20)

⇒ I = $1800

Investment C

P = $2000
r = 10% = 0.1
t = 3 years

Substitute the given values into the formula and solve for I:

⇒ I = 2000(0.1)(3)

⇒ I = $600

The last investment (C) has the least interest of $600.

The other two investments (A and B) have the same amount of interest of $1800.

8 0

1 year ago

2ftx2ftx2ft= what is the square area

mash [69]

8 square ft you would just multiply to find area

8 0

3 years ago

6) Two coastguard stations P and Q are 17km apart, with due East of P. A ship S is observed in distress on a bearing 048° fromP

adelina 88 [10]

Answer:

The ship S is at 10.05 km to coastguard P, and 12.70 km to coastguard Q.

Step-by-step explanation:

Let the distance of the ship to coastguard P be represented by x, and its distance to coastguard Q be represented by y.

But,

<P = 048°

<Q = $360^{o}$ - $324^{o}$

= 0 $36^{o}$

Sum of angles in a triangle = $180^{o}$

<P + <Q + <S = $180^{o}$

048° + 0 $36^{o}$ + <S = $180^{o}$

$84^{o}$ + <S = $180^{o}$

<S = $180^{o}$ - $84^{o}$

= $96^{o}$

<S = $96^{o}$

Applying the Sine rule,

$\frac{y}{Sin P}$ = $\frac{x}{Sin Q}$ = $\frac{z}{Sin S}$

$\frac{y}{Sin P}$ = $\frac{z}{Sin S}$

$\frac{y}{Sin 48^{o} }$ = $\frac{17}{Sin 96^{o} }$

$\frac{y}{0.74314}$ = $\frac{17}{0.99452}$

⇒ y = $\frac{12.63338}{0.99452}$

= 12.703

y = 12.70 km

$\frac{x}{Sin Q}$ = $\frac{z}{Sin S}$

$\frac{x}{Sin 36^{o} }$ = $\frac{17}{Sin 96^{o} }$

$\frac{x}{0.58779}$ = $\frac{17}{0.99452}$

⇒ x = $\frac{9.992430}{0.99452}$

= 10.0475

x = 10.05 km

Thus,

the ship S is at a distance of 10.05 km to coastguard P, and 12.70 km to coastguard Q.

6 0

3 years ago

The graph of a line has a slope of -3 and passes through the point (-6,-4).

prohojiy [21]

Answer:

(A) y+4=-3(x+6)

Step-by-step explanation:

The point-slope form of the equation of a line whose slope is m and passes through the point $(x_1, y_1)$ is: $y-y_1=m(x-x_1)$

Given the point: $(x_1, y_1)=(-6,-4)$

Slope, m=-3

$x_1=-6\\y_1=-4$

Substituting these values into: $y-y_1=m(x-x_1)$ , we obtain the point slope form of the equation:

$y-(-4)=-3(x-(-6))\\\\y+4=-3(x+6)$

The correct option is A.

6 0

3 years ago

A store sells 3 cans of beans for $9. What is the price of 7 cans of beans?

Leokris [45]

Answer:

Step-by-step explanation:

because you divide 9 byy 3 and you get 3 so then you do 7 x 3 7x3 is 21

8 0

3 years ago