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3 years ago

Algebra 2 need help on a ( ABC )

Mathematics

1 answer:

Len [333]3 years ago

3 0

Answer:

$x = \frac{15}{4}$

Step-by-step explanation:

b) set up equations so they are equal to each other,

$2x - 2 = - 3x + 12$

$5x = 14$

$x = \frac{14}{5}$

this is when f(x)=g(x) so our approximation was close.

c)solving it graphically is nearly impossible because the solution can be any value around the intersection. only way to be sure is to solve it symbolically.

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The Customer Service Center in a large New York department store has determined that the amount of time spent with a customer ab

Paul [167]

Answer:

0.6395 ; 0.9657 ; 0.7333

Step-by-step explanation:

Given that:

Mean (m) = 10.1

Standard deviation (s) = 2.8

Obtain the following probabilities :

a) less than 10 minutes

P(x < 10)

Z = (x - m) / s

Z = (10 - 10.1) / 2.8

Z = 0.1 / 2.8

Z = 0.0357142

P(Z < 0.357) = 0.6395 ( Z probability calculator)

(b) longer than 5 minutes

P(x > 5)

Z = (x - m) / s

Z = (5 - 10.1) / 2.8

Z = −1.821428

P(Z < - 1.821) = 0.9657 ( Z probability calculator)

P(8 < x < 15)

P(x < 8)

Z = (x - m) / s

Z = (8 - 10.1) / 2.8

Z = − 0.75

P(Z < - 0.75) = 0.22663 ( Z probability calculator)

P(x < 15)

Z = (x - m) / s

Z = (15 - 10.1) / 2.8

Z = 1.75

P(Z < 1.75) = 0.95994 ( Z probability calculator)

P(Z < 1.75) - P(Z < - 0.75)

0.95994 - 0.22663 = 0.7333

4 0

3 years ago

Given a container that is 4.50 ft. by 7.20 ft. that is filled with water 5.00 inches deep.What is the volume of water in liters

elena55 [62]

Answer:

382.3 liters

Step-by-step explanation:

We are told in the question that:

A container that is 4.50 ft. by 7.20 ft. that is filled with water 5.00 inches deep.

This means:

Length = 4.50 ft

Width = 7.20 ft

Depth(Height) = 5.00 inches

We have to convert all of these to centimeters first. Then to liters

1 foot = 30.48 centimetres

1 inch = 2.54 centimetres

Length = 4.50 ft

1 foot = 30.48 centimetres

4.5 ft = 4.5 × 30.48

= 137.16 cm

Width = 7.20 ft

1 foot = 30.48 centimetres

7.20 ft = 7.20 × 30.48 cm

= 219.456cm

Depth(Height) = 5.00 inches

1 inch = 2.54 centimetres

5 inches = x cm

Cross Multiply

= 5 × 2.54 cm

= 12.7 cm

The volume of the water(cm³) = Length × Width × Depth

= (137.16 × 219.456 × 12.7)cm³

382277.428992 cm³

The volume of water in liters

1 cubic centimetre = 0.001 litre

382277.428992 cm³ = x

Cross Multiply

382277.428992 cm³ × 0.001 litre

= 382.2774289920001 liters

Approximately = 382.3 liters

7 0

3 years ago

What of these types of income is taxed?

geniusboy [140]

In most cases, income tax brackets are progressive, meaning that the greater the income, the higher the rate of taxation. Federal rates for the 2013 tax year range from 10 to 39.6 percent. State and city rates are generally much lower.

7 0

3 years ago

For each hour he babysits, Anderson earns $1 more than half of Carey's hourly rate. Anderson earns $6 per hour. Which equation c

MAVERICK [17]

Answer:

The total earnings of Carey in t tours is 12 t - 2 .

Step-by-step explanation:

For each hour he babysits, Anderson earns $1 more than half of Carey's hourly rate. Anderson earns $6 per hour. Which equation can be used to solve for Carey's hourly rate, c? 18 + ?T = 24 What number should be the coefficient of t?

Anderson earns $1 more than half of Carey's hourly rate.

Anderson hourly rate = $ 6

Let Carey's hourly rate is p. Let the time is t hours.

So, Anderson rate is

$6 t = \frac{p t}{2} +1\\\\2\times 6 t = p t + 2 \\\\p t = 12 t - 2$

5 0

3 years ago

HELP PLEASE !! <br> IS IT A, B OR C

Schach [20]

C is the answer yeah yeah

8 0

3 years ago